Details

sample34.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
5.0ms	260×	pre	80	false
4.0ms	256×	pre	80	true

simplify36.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5117	11

prune7.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 17.6b

Counts

2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* a a) (* b b))
0.0b	(sqrt (fabs (/ (- (* a a) (* b b)) (* a a))))
17.0b	(/ (- (* a a) (* b b)) (* a a))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-exp-log` `add-cbrt-cube`
7×	`add-sqr-sqrt`
6×	`add-cube-cbrt` `*-un-lft-identity`
5×	`add-log-exp`
4×	`pow1` `times-frac` `associate-/l*`
3×	`sqrt-prod` `difference-of-squares`
2×	`cbrt-undiv` `flip3--` `div-exp` `flip--` `associate-/l/`
1×	`sub-neg` `rem-sqrt-square` `frac-2neg` `sqrt-pow1` `pow1/2` `diff-log` `div-sub` `prod-exp` `clear-num` `associate-/r*` `cbrt-unprod` `div-inv`

Counts

3 → 52

Calls

3 calls:

3.0ms	(- (* a a) (* b b))
1.0ms	(sqrt (fabs (/ (- (* a a) (* b b)) (* a a))))
7.0ms	(/ (- (* a a) (* b b)) (* a a))

series27.0ms

Counts

3 → 9

Calls

3 calls:

9.0ms	(- (* a a) (* b b))
10.0ms	(sqrt (fabs (/ (- (* a a) (* b b)) (* a a))))
8.0ms	(/ (- (* a a) (* b b)) (* a a))

simplify43.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5068	668

prune79.0ms

Filtered

43 candidates to 61 candidates (-41.9%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	59	2	61
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	60	2	62

Merged error: 0b

Counts

62 → 2

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(- a (* b (/ b a)))
0.0b	(sqrt (fabs (/ (- a (* b (/ b a))) a)))
0.0b	(/ (- a (* b (/ b a))) a)
0.1b	(* b (/ b a))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt`
21×	`add-cube-cbrt` `*-un-lft-identity`
19×	`times-frac`
13×	`associate-r`
11×	`add-exp-log` `add-cbrt-cube`
7×	`pow1`
6×	`add-log-exp`
3×	`associate-l` `associate-/r` `sqrt-prod` `associate-/l`
2×	`cbrt-undiv` `flip3--` `div-exp` `prod-exp` `flip--` `cbrt-unprod` `div-inv` `associate-/l/` `unswap-sqr`
1×	`sub-neg` `rem-sqrt-square` `frac-2neg` `sqrt-pow1` `pow1/2` `diff-log` `div-sub` `associate-r/` `pow-prod-down` `clear-num` `-commutative`

Counts

4 → 87

Calls

4 calls:

3.0ms	(- a (* b (/ b a)))
1.0ms	(sqrt (fabs (/ (- a (* b (/ b a))) a)))
5.0ms	(/ (- a (* b (/ b a))) a)
6.0ms	(* b (/ b a))

series28.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(- a (* b (/ b a)))
10.0ms	(sqrt (fabs (/ (- a (* b (/ b a))) a)))
9.0ms	(/ (- a (* b (/ b a))) a)
3.0ms	(* b (/ b a))

simplify54.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4987	998
1	4987	998

prune108.0ms

Filtered

69 candidates to 99 candidates (-43.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	99	2	101

Merged error: 0b

Counts

101 → 2

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ a (- a (* b (/ b a))))
0.0b	(sqrt (fabs (/ 1 (/ a (- a (* b (/ b a)))))))
0.0b	(/ 1 (/ a (- a (* b (/ b a)))))
0.1b	(* b (/ b a))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

100×	`times-frac`
71×	`add-sqr-sqrt`
65×	`add-cube-cbrt` `*-un-lft-identity`
22×	`add-exp-log`
18×	`associate-/r*`
16×	`add-cbrt-cube`
13×	`associate-r`
11×	`associate-/r/`
9×	`div-exp`
8×	`pow1`
7×	`div-inv`
6×	`associate-/l*`
5×	`cbrt-undiv` `flip3--` `flip--`
4×	`add-log-exp`
3×	`associate-l` `sqrt-prod`
2×	`rec-exp` `frac-2neg` `1-exp` `prod-exp` `clear-num` `cbrt-unprod` `unswap-sqr`
1×	`rem-sqrt-square` `pow-flip` `sqrt-pow1` `pow1/2` `associate-r/` `pow-prod-down` `-commutative` `inv-pow`

Counts

4 → 158

Calls

4 calls:

4.0ms	(/ a (- a (* b (/ b a))))
1.0ms	(sqrt (fabs (/ 1 (/ a (- a (* b (/ b a)))))))
7.0ms	(/ 1 (/ a (- a (* b (/ b a)))))
7.0ms	(* b (/ b a))

series28.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(/ a (- a (* b (/ b a))))
8.0ms	(sqrt (fabs (/ 1 (/ a (- a (* b (/ b a)))))))
9.0ms	(/ 1 (/ a (- a (* b (/ b a)))))
4.0ms	(* b (/ b a))

simplify71.0ms

Algorithm

egg-herbie

Counts

170 → 170

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4975	2349
1	4975	2349

prune177.0ms

Filtered

112 candidates to 170 candidates (-51.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	170	0	170
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	170	2	172

Merged error: 0b

Counts

172 → 2

regimes65.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	11
1	9	11

end0.0ms

sample960.0ms

Algorithm

intervals

Results

273.0ms	8000×	body	80	valid
142.0ms	8166×	pre	80	false
137.0ms	8000×	pre	80	true

Details

sample34.0ms

simplify36.0ms

prune7.0ms

localize7.0ms

rewrite13.0ms

series27.0ms

simplify43.0ms

prune79.0ms

localize8.0ms

rewrite17.0ms

series28.0ms

simplify54.0ms

prune108.0ms

localize8.0ms

rewrite25.0ms

series28.0ms

simplify71.0ms

prune177.0ms

regimes65.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample960.0ms

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