Details

sample0.0hr

Algorithm

intervals

Results

0.0hr	256×	body	80	valid
0.0hr	262×	body	80	nan

simplify0.0hr

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0hr)

Iter	Nodes	Cost
0	16	6
1	19	6
2	21	6
3	21	6

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: 0.0b

Counts

2 → 1

localize0.0hr

Local error

Found 3 expressions with local error:

0.0b	(atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))
0.0b	(sqrt (/ (- 1.0 x) (+ 1.0 x)))
0.0b	(/ (- 1.0 x) (+ 1.0 x))

rewrite0.0hr

Algorithm

rewrite-expression-head

Rules

64×	`*-un-lft-identity`
45×	`add-sqr-sqrt`
41×	`times-frac`
26×	`sqrt-prod`
24×	`add-cube-cbrt`
11×	`distribute-lft-out`
9×	`distribute-lft-out--` `difference-of-squares`
5×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
4×	`pow1` `associate-/r*` `associate-/r/`
3×	`add-log-exp`
2×	`rem-sqrt-square` `flip3-+` `flip-+` `div-inv` `associate-/l/`
1×	`cbrt-undiv` `flip3--` `frac-2neg` `sqrt-pow1` `pow1/2` `sqrt-div` `div-sub` `div-exp` `clear-num` `flip--`

Counts

3 → 91

Calls

3 calls:

0.0hr	(atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))
0.0hr	(sqrt (/ (- 1.0 x) (+ 1.0 x)))
0.0hr	(/ (- 1.0 x) (+ 1.0 x))

series0.0hr

Counts

3 → 9

Calls

3 calls:

0.0hr	(atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))
0.0hr	(sqrt (/ (- 1.0 x) (+ 1.0 x)))
0.0hr	(/ (- 1.0 x) (+ 1.0 x))

simplify0.0hr

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 2 (0.0hr)

Iter	Nodes	Cost
0	354	753
1	1071	709
2	5001	688

prune0.0hr

Filtered

100 candidates to 70 candidates (30.0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	97	3	100
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	98	3	101

Merged error: 0b

Counts

101 → 3

localize0.0hr

Local error

Found 4 expressions with local error:

0.0b	(atan (sqrt (/ (/ (- 1.0 x) (sqrt (+ 1.0 x))) (sqrt (+ 1.0 x)))))
0.0b	(sqrt (/ (/ (- 1.0 x) (sqrt (+ 1.0 x))) (sqrt (+ 1.0 x))))
0.0b	(/ (- 1.0 x) (sqrt (+ 1.0 x)))
0.0b	(/ (/ (- 1.0 x) (sqrt (+ 1.0 x))) (sqrt (+ 1.0 x)))

rewrite0.0hr

Algorithm

rewrite-expression-head

Rules

1144×	`times-frac`
1015×	`*-un-lft-identity`
954×	`sqrt-prod`
704×	`add-sqr-sqrt`
461×	`add-cube-cbrt`
164×	`distribute-lft-out`
113×	`distribute-lft-out--` `difference-of-squares`
46×	`associate-/l*`
37×	`sqrt-div`
36×	`associate-/r/`
18×	`flip3-+` `flip-+` `div-inv`
14×	`associate-/r*`
11×	`add-exp-log` `add-cbrt-cube`
7×	`rem-sqrt-square`
5×	`pow1`
4×	`cbrt-undiv` `div-exp` `add-log-exp`
3×	`div-sub` `associate-/l/`
2×	`frac-2neg` `clear-num`
1×	`flip3--` `sqrt-pow1` `pow1/2` `flip--`

Counts

4 → 734

Calls

4 calls:

0.0hr	(atan (sqrt (/ (/ (- 1.0 x) (sqrt (+ 1.0 x))) (sqrt (+ 1.0 x)))))
0.0hr	(sqrt (/ (/ (- 1.0 x) (sqrt (+ 1.0 x))) (sqrt (+ 1.0 x))))
0.0hr	(/ (- 1.0 x) (sqrt (+ 1.0 x)))
0.0hr	(/ (/ (- 1.0 x) (sqrt (+ 1.0 x))) (sqrt (+ 1.0 x)))

series0.0hr

Counts

4 → 12

Calls

4 calls:

0.0hr	(atan (sqrt (/ (/ (- 1.0 x) (sqrt (+ 1.0 x))) (sqrt (+ 1.0 x)))))
0.0hr	(sqrt (/ (/ (- 1.0 x) (sqrt (+ 1.0 x))) (sqrt (+ 1.0 x))))
0.0hr	(/ (- 1.0 x) (sqrt (+ 1.0 x)))
0.0hr	(/ (/ (- 1.0 x) (sqrt (+ 1.0 x))) (sqrt (+ 1.0 x)))

simplify0.0hr

Algorithm

egg-herbie

Counts

746 → 746

Iterations

Useful iterations: 2 (0.0hr)

Iter	Nodes	Cost
0	1239	12138
1	4185	10880
2	5001	10724

prune0.0hr

Filtered

746 candidates to 226 candidates (69.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	746	0	746
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	746	3	749

Merged error: 0b

Counts

749 → 3

localize0.0hr

Local error

Found 4 expressions with local error:

0.0b	(exp (sqrt (/ (- 1.0 x) (+ x 1.0))))
0.0b	(sqrt (/ (- 1.0 x) (+ x 1.0)))
0.0b	(log (exp (sqrt (/ (- 1.0 x) (+ x 1.0)))))
0.0b	(/ (- 1.0 x) (+ x 1.0))

rewrite0.0hr

Algorithm

rewrite-expression-head

Rules

124×	`*-un-lft-identity`
85×	`add-sqr-sqrt`
81×	`times-frac`
78×	`sqrt-prod`
58×	`exp-prod`
48×	`add-cube-cbrt`
30×	`log-pow`
21×	`distribute-lft-out`
17×	`distribute-lft-out--` `difference-of-squares`
8×	`associate-/r/`
6×	`pow1` `add-exp-log` `add-cbrt-cube`
5×	`associate-/l*` `add-log-exp`
4×	`flip3-+` `associate-/r*` `flip-+` `div-inv`
3×	`log-prod`
2×	`rem-sqrt-square` `associate-/l/`
1×	`cbrt-undiv` `flip3--` `frac-2neg` `sqrt-pow1` `pow1/2` `sqrt-div` `div-sub` `div-exp` `rem-log-exp` `clear-num` `flip--` `rem-exp-log`

Counts

4 → 162

Calls

4 calls:

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

series0.0hr

Counts

4 → 12

Calls

4 calls:

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

simplify0.0hr

Algorithm

egg-herbie

Counts

174 → 174

Iterations

Useful iterations: 2 (0.0hr)

Iter	Nodes	Cost
0	506	1319
1	1557	1244
2	5002	1184

prune0.0hr

Filtered

174 candidates to 116 candidates (33.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	174	0	174
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	174	3	177

Merged error: 0b

Counts

177 → 3

localize0.0hr

Local error

Found 4 expressions with local error:

0.0b	(sqrt (/ (- 1.0 x) (+ x 1.0)))
0.0b	(/ (- 1.0 x) (+ x 1.0))
0.0b	(cbrt (pow (sqrt (/ (- 1.0 x) (+ x 1.0))) 3))
0.0b	(pow (sqrt (/ (- 1.0 x) (+ x 1.0))) 3)

rewrite0.0hr

Algorithm

rewrite-expression-head

Rules

183×	`*-un-lft-identity`
130×	`sqrt-prod`
124×	`add-sqr-sqrt`
121×	`times-frac`
71×	`add-cube-cbrt`
64×	`cbrt-prod`
58×	`unpow-prod-down` `cube-prod`
31×	`distribute-lft-out`
25×	`distribute-lft-out--` `difference-of-squares`
12×	`associate-/r/`
7×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`flip3-+` `flip-+` `div-inv`
5×	`associate-/l*`
4×	`associate-/r*` `add-log-exp`
3×	`pow-unpow` `pow-pow` `sqrt-div`
2×	`cube-div` `cube-mult` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `unpow3` `associate-/l/` `sqr-pow`
1×	`cbrt-undiv` `pow-to-exp` `cbrt-div` `flip3--` `frac-2neg` `pow1/3` `div-sub` `div-exp` `pow-exp` `clear-num` `sqrt-pow2` `flip--` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

4 → 237

Calls

4 calls:

0.0hr	(sqrt (/ (- 1.0 x) (+ x 1.0)))
0.0hr	(/ (- 1.0 x) (+ x 1.0))
0.0hr	(cbrt (pow (sqrt (/ (- 1.0 x) (+ x 1.0))) 3))
0.0hr	(pow (sqrt (/ (- 1.0 x) (+ x 1.0))) 3)

series0.0hr

Counts

4 → 12

Calls

4 calls:

0.0hr	(sqrt (/ (- 1.0 x) (+ x 1.0)))
0.0hr	(/ (- 1.0 x) (+ x 1.0))
0.0hr	(cbrt (pow (sqrt (/ (- 1.0 x) (+ x 1.0))) 3))
0.0hr	(pow (sqrt (/ (- 1.0 x) (+ x 1.0))) 3)

simplify0.0hr

Algorithm

egg-herbie

Counts

249 → 249

Iterations

Useful iterations: 2 (0.0hr)

Iter	Nodes	Cost
0	702	2237
1	2389	2095
2	5001	2063

prune0.0hr

Filtered

249 candidates to 120 candidates (51.8%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	249	0	249
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	249	3	252

Merged error: 0b

Counts

252 → 3

regimes0.0hr

Accuracy

0% (0.0b remaining)

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

bsearch0.0hr

simplify0.0hr

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0hr)

Iter	Nodes	Cost
0	13	10
1	13	10

end0.0hr

sample0.0hr

Algorithm

intervals

Results

0.0hr	8000×	body	80	valid
0.0hr	8169×	body	80	nan

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