Details

sample40.0ms

Algorithm

intervals

Results

13.0ms	256×	body	80	valid
5.0ms	263×	pre	80	false
4.0ms	256×	pre	80	true

simplify37.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (35.0ms)

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	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 14.3b

Counts

2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(sqrt (fabs (- 1 (* b (/ b (* a a))))))
0.2b	(* b (/ b (* a a)))
14.5b	(/ b (* a a))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-exp-log` `add-cbrt-cube`
14×	`add-sqr-sqrt`
9×	`add-cube-cbrt` `*-un-lft-identity`
7×	`times-frac` `associate-r`
6×	`pow1`
5×	`prod-exp` `cbrt-unprod`
4×	`cbrt-undiv` `div-exp`
3×	`associate-l` `sqrt-prod` `associate-/l*` `add-log-exp`
2×	`div-inv` `unswap-sqr`
1×	`rem-sqrt-square` `frac-2neg` `sqrt-pow1` `pow1/2` `associate-r/` `pow-prod-down` `clear-num` `associate-/r` `*-commutative`

Counts

3 → 62

Calls

3 calls:

1.0ms	(sqrt (fabs (- 1 (* b (/ b (* a a))))))
7.0ms	(* b (/ b (* a a)))
5.0ms	(/ b (* a a))

series18.0ms

Counts

3 → 9

Calls

3 calls:

8.0ms	(sqrt (fabs (- 1 (* b (/ b (* a a))))))
5.0ms	(* b (/ b (* a a)))
5.0ms	(/ b (* a a))

simplify55.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5267	492

prune95.0ms

Filtered

48 candidates to 71 candidates (-47.9%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	69	2	71
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	70	2	72

Merged error: 0b

Counts

72 → 2

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(sqrt (fabs (- 1 (* b (/ (/ b a) a)))))
0.2b	(* b (/ (/ b a) a))
0.3b	(/ (/ b a) a)

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

144×	`times-frac`
92×	`add-sqr-sqrt`
82×	`add-cube-cbrt` `*-un-lft-identity`
43×	`associate-r`
17×	`add-exp-log` `add-cbrt-cube`
13×	`associate-/l*`
9×	`div-inv`
6×	`pow1` `cbrt-undiv` `div-exp`
3×	`associate-l` `prod-exp` `associate-/r*` `sqrt-prod` `cbrt-unprod` `add-log-exp` `unswap-sqr`
1×	`rem-sqrt-square` `frac-2neg` `sqrt-pow1` `pow1/2` `associate-r/` `pow-prod-down` `clear-num` `-commutative` `associate-/l/`

Counts

3 → 148

Calls

3 calls:

1.0ms	(sqrt (fabs (- 1 (* b (/ (/ b a) a)))))
15.0ms	(* b (/ (/ b a) a))
6.0ms	(/ (/ b a) a)

series18.0ms

Counts

3 → 9

Calls

3 calls:

8.0ms	(sqrt (fabs (- 1 (* b (/ (/ b a) a)))))
5.0ms	(* b (/ (/ b a) a))
5.0ms	(/ (/ b a) a)

simplify48.0ms

Algorithm

egg-herbie

Counts

157 → 157

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5016	1403

prune175.0ms

Filtered

116 candidates to 157 candidates (-35.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	157	0	157
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	157	2	159

Merged error: 0b

Counts

159 → 2

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (pow (/ b a) 2))
0.0b	(sqrt (fabs (- 1 (log (exp (pow (/ b a) 2))))))
0.4b	(pow (/ b a) 2)
6.1b	(log (exp (pow (/ b a) 2)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

39×	`unpow-prod-down`
36×	`exp-prod`
31×	`add-sqr-sqrt`
30×	`add-cube-cbrt` `*-un-lft-identity`
27×	`times-frac`
19×	`log-pow`
7×	`pow1` `add-exp-log`
5×	`add-log-exp`
4×	`add-cbrt-cube`
3×	`pow-unpow` `log-prod` `sqrt-prod` `div-inv` `unpow2` `sqr-pow`
2×	`pow-exp`
1×	`pow-to-exp` `rem-sqrt-square` `pow-pow` `sqrt-pow1` `pow1/2` `div-exp` `rem-log-exp` `rem-exp-log`

Counts

4 → 98

Calls

4 calls:

5.0ms	(exp (pow (/ b a) 2))
1.0ms	(sqrt (fabs (- 1 (log (exp (pow (/ b a) 2))))))
4.0ms	(pow (/ b a) 2)
6.0ms	(log (exp (pow (/ b a) 2)))

series22.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(exp (pow (/ b a) 2))
8.0ms	(sqrt (fabs (- 1 (log (exp (pow (/ b a) 2))))))
6.0ms	(pow (/ b a) 2)
3.0ms	(log (exp (pow (/ b a) 2)))

simplify49.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5486	739

prune168.0ms

Filtered

81 candidates to 110 candidates (-35.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	110	0	110
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	110	2	112

Merged error: 0b

Counts

112 → 2

regimes69.0ms

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	11	11
1	11	11

end0.0ms

sample918.0ms

Algorithm

intervals

Results

260.0ms	8000×	body	80	valid
137.0ms	7906×	pre	80	false
136.0ms	8000×	pre	80	true

Details

sample40.0ms

simplify37.0ms

prune7.0ms

localize8.0ms

rewrite14.0ms

series18.0ms

simplify55.0ms

prune95.0ms

localize8.0ms

rewrite29.0ms

series18.0ms

simplify48.0ms

prune175.0ms

localize10.0ms

rewrite21.0ms

series22.0ms

simplify49.0ms

prune168.0ms

regimes69.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample918.0ms

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