Details

sample0.0hr

Algorithm

intervals

Results

0.0hr	102×	body	1280	valid
0.0hr	92×	body	640	valid
0.0hr	37×	body	320	valid
0.0hr	256×	pre	80	true
0.0hr	21×	body	160	valid
0.0hr	4×	body	80	valid

simplify0.0hr

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0hr)

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

prune0.0hr

Filtered

1 candidates to 0 candidates (100.0%)

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: 61.9b

Counts

2 → 1

localize0.0hr

Local error

Found 3 expressions with local error:

0.0b	(/ (log (- 1.0 x)) (log (+ 1.0 x)))
5.5b	(log (- 1.0 x))
5.6b	(log (+ 1.0 x))

rewrite0.0hr

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:

0.0hr	(/ (log (- 1.0 x)) (log (+ 1.0 x)))
0.0hr	(log (- 1.0 x))
0.0hr	(log (+ 1.0 x))

series0.0hr

Counts

3 → 9

Calls

3 calls:

0.0hr	(/ (log (- 1.0 x)) (log (+ 1.0 x)))
0.0hr	(log (- 1.0 x))
0.0hr	(log (+ 1.0 x))

simplify0.0hr

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 2 (0.0hr)

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

prune0.0hr

Filtered

78 candidates to 56 candidates (28.2%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	73	5	78
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	74	5	79

Merged error: 59.7b

Counts

79 → 5

localize0.0hr

Local error

Found 3 expressions with local error:

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

rewrite0.0hr

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:

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

series0.0hr

Counts

3 → 9

Calls

3 calls:

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

simplify0.0hr

Algorithm

egg-herbie

Counts

172 → 172

Iterations

Useful iterations: 1 (0.0hr)

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

prune0.0hr

Filtered

172 candidates to 114 candidates (33.7%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	171	1	172
Fresh	3	1	4
Picked	1	0	1
Done	0	0	0
Total	175	2	177

Merged error: 0.0b

Counts

177 → 2

localize0.0hr

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)))))

rewrite0.0hr

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:

0.0hr	(* 1/2 (/ (pow x 2) (pow 1.0 2)))
0.0hr	(* 1/2 (/ (pow x 2) (pow 1.0 2)))
0.0hr	(/ (- (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)))))

series0.0hr

Counts

3 → 9

Calls

3 calls:

0.0hr	(* 1/2 (/ (pow x 2) (pow 1.0 2)))
0.0hr	(* 1/2 (/ (pow x 2) (pow 1.0 2)))
0.0hr	(/ (- (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)))))

simplify0.0hr

Algorithm

egg-herbie

Counts

275 → 275

Iterations

Useful iterations: 2 (0.0hr)

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

prune0.0hr

Filtered

275 candidates to 171 candidates (37.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	273	2	275
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	273	4	277

Merged error: 0b

Counts

277 → 4

localize0.0hr

Local error

Found 4 expressions with local error:

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)))))
0.0b	(cbrt (pow (/ (- (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))))) 3))
0.0b	(pow (/ (- (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))))) 3)

rewrite0.0hr

Algorithm

rewrite-expression-head

Rules

170×	`times-frac`
157×	`add-sqr-sqrt`
139×	`*-un-lft-identity`
108×	`unpow-prod-down`
91×	`add-cube-cbrt`
68×	`associate-r`
58×	`cbrt-prod`
52×	`cube-prod`
32×	`add-exp-log` `distribute-lft-out--`
26×	`sqr-pow`
24×	`unpow2`
23×	`pow1`
20×	`associate-/r/`
17×	`unswap-sqr`
16×	`log-pow` `difference-of-squares`
14×	`add-cbrt-cube`
11×	`associate-*r/` `div-exp`
10×	`prod-exp` `frac-sub`
8×	`pow-exp`
7×	`pow-to-exp`
6×	`flip3--` `flip--` `div-inv` `associate-/l*`
5×	`flip3-+` `flip-+`
4×	`add-log-exp`
3×	`cbrt-undiv` `pow-unpow` `associate-l` `associate-/r*`
2×	`cube-div` `cube-mult` `unpow3` `cbrt-unprod` `associate-/l/` `rem-cube-cbrt`
1×	`cbrt-div` `pow-pow` `frac-2neg` `pow1/3` `div-sub` `pow-prod-down` `clear-num` `*-commutative` `rem-cbrt-cube`

Counts

4 → 296

Calls

4 calls:

0.0hr	(* 1/2 (/ (pow x 2) (pow 1.0 2)))
0.0hr	(/ (- (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)))))
0.0hr	(cbrt (pow (/ (- (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))))) 3))
0.0hr	(pow (/ (- (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))))) 3)

series0.0hr

Counts

4 → 12

Calls

4 calls:

0.0hr	(* 1/2 (/ (pow x 2) (pow 1.0 2)))
0.0hr	(/ (- (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)))))
0.0hr	(cbrt (pow (/ (- (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))))) 3))
0.0hr	(pow (/ (- (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))))) 3)

simplify0.0hr

Algorithm

egg-herbie

Counts

308 → 308

Iterations

Useful iterations: 1 (0.0hr)

Iter	Nodes	Cost
0	1252	6450
1	5001	6069

prune0.0hr

Filtered

308 candidates to 162 candidates (47.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	308	0	308
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	308	4	312

Merged error: 0b

Counts

312 → 4

regimes0.0hr

Accuracy

0% (0.4b remaining)

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

bsearch0.0hr

simplify0.0hr

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0hr)

Iter	Nodes	Cost
0	19	17
1	19	17

end0.0hr

sample0.0hr

Algorithm

intervals

Results

0.0hr	3427×	body	1280	valid
0.0hr	2465×	body	640	valid
0.0hr	1233×	body	320	valid
0.0hr	8000×	pre	80	true
0.0hr	642×	body	160	valid
0.0hr	233×	body	80	valid

Details

sample0.0hr

simplify0.0hr

prune0.0hr

localize0.0hr

rewrite0.0hr

series0.0hr

simplify0.0hr

prune0.0hr

localize0.0hr

rewrite0.0hr

series0.0hr

simplify0.0hr

prune0.0hr

localize0.0hr

rewrite0.0hr

series0.0hr

simplify0.0hr

prune0.0hr

localize0.0hr

rewrite0.0hr

series0.0hr

simplify0.0hr

prune0.0hr

regimes0.0hr

bsearch0.0hr

simplify0.0hr

end0.0hr

sample0.0hr

Profiling