Details

sample29.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
5.0ms	248×	pre	80	false
4.0ms	256×	pre	80	true

simplify50.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	7
1	47	7
2	106	7
3	265	7
4	1495	7
5	5001	7

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

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: 14.4b

Counts

2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(sqrt (fabs (/ (- (* a a) (* b b)) (* a a))))
0.0b	(- (* a a) (* b b))
14.0b	(/ (- (* a a) (* b b)) (* a a))

rewrite16.0ms

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:

1.0ms	(sqrt (fabs (/ (- (* a a) (* b b)) (* a a))))
6.0ms	(- (* a a) (* b b))
7.0ms	(/ (- (* a a) (* b b)) (* a a))

series99.0ms

Counts

3 → 9

Calls

3 calls:

21.0ms	(sqrt (fabs (/ (- (* a a) (* b b)) (* a a))))
30.0ms	(- (* a a) (* b b))
48.0ms	(/ (- (* a a) (* b b)) (* a a))

simplify159.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 3 (154.0ms)

Iter	Nodes	Cost
0	228	417
1	970	368
2	4781	367
3	5001	366

prune125.0ms

Filtered

61 candidates to 45 candidates (73.8%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	58	3	61
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	59	3	62

Merged error: 0.0b

Counts

62 → 3

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

69×	`*-un-lft-identity`
68×	`add-sqr-sqrt`
58×	`times-frac`
41×	`add-cube-cbrt`
20×	`add-exp-log` `add-cbrt-cube`
19×	`associate-r`
16×	`associate-l`
9×	`associate-/l*`
7×	`pow1` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares`
6×	`cbrt-undiv` `div-exp` `associate-/r*`
4×	`prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `add-log-exp` `unswap-sqr`
3×	`sqrt-prod`
2×	`frac-2neg` `clear-num`
1×	`frac-times` `rem-sqrt-square` `flip3--` `sqrt-pow1` `flip3-+` `pow1/2` `div-sub` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative` `flip--` `flip-+`

Counts

4 → 143

Calls

4 calls:

1.0ms	(sqrt (fabs (* (/ (+ a b) a) (/ (- a b) a))))
6.0ms	(/ (+ a b) a)
6.0ms	(/ (- a b) a)
16.0ms	(* (/ (+ a b) a) (/ (- a b) a))

series130.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(sqrt (fabs (* (/ (+ a b) a) (/ (- a b) a))))
23.0ms	(/ (+ a b) a)
29.0ms	(/ (- a b) a)
61.0ms	(* (/ (+ a b) a) (/ (- a b) a))

simplify65.0ms

Algorithm

egg-herbie

Counts

155 → 155

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	493	951
1	2505	870
2	5002	867

prune275.0ms

Filtered

155 candidates to 106 candidates (68.4%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	152	3	155
Fresh	1	1	2
Picked	1	0	1
Done	0	0	0
Total	154	4	158

Merged error: 0b

Counts

158 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

47×	`add-sqr-sqrt`
43×	`*-un-lft-identity`
34×	`times-frac`
27×	`add-cube-cbrt`
20×	`add-exp-log` `add-cbrt-cube`
19×	`associate-r`
7×	`pow1` `associate-/l/` `distribute-lft-out--` `difference-of-squares`
6×	`cbrt-undiv` `div-exp` `associate-/r` `associate-/l`
4×	`frac-times` `flip3-+` `associate-l` `associate-*l/` `prod-exp` `cbrt-unprod` `flip-+` `add-log-exp`
3×	`sqrt-prod` `div-inv`
2×	`frac-2neg` `associate-*r/` `clear-num` `unswap-sqr`
1×	`rem-sqrt-square` `flip3--` `sqrt-pow1` `pow1/2` `div-sub` `pow-prod-down` `*-commutative` `flip--` `distribute-lft-out`

Counts

4 → 122

Calls

4 calls:

1.0ms	(sqrt (fabs (/ (* (+ a b) (/ (- a b) a)) a)))
11.0ms	(/ (* (+ a b) (/ (- a b) a)) a)
15.0ms	(* (+ a b) (/ (- a b) a))
6.0ms	(/ (- a b) a)

series166.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(sqrt (fabs (/ (* (+ a b) (/ (- a b) a)) a)))
58.0ms	(/ (* (+ a b) (/ (- a b) a)) a)
59.0ms	(* (+ a b) (/ (- a b) a))
30.0ms	(/ (- a b) a)

simplify66.0ms

Algorithm

egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	440	815
1	2436	731
2	5002	729

prune231.0ms

Filtered

134 candidates to 94 candidates (70.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	133	1	134
Fresh	2	1	3
Picked	0	1	1
Done	0	0	0
Total	135	3	138

Merged error: 0b

Counts

138 → 3

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (+ a b) a)
0.0b	(log (exp (* (/ (+ a b) a) (/ (- a b) a))))
0.0b	(/ (- a b) a)
0.1b	(* (/ (+ a b) a) (/ (- a b) a))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

69×	`*-un-lft-identity`
67×	`add-sqr-sqrt`
58×	`times-frac`
41×	`add-cube-cbrt`
20×	`add-exp-log` `add-cbrt-cube`
19×	`associate-r`
16×	`associate-l`
9×	`associate-/l*`
7×	`pow1` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares`
6×	`cbrt-undiv` `div-exp` `associate-/r*`
5×	`add-log-exp`
4×	`prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `unswap-sqr`
3×	`log-prod` `log-pow`
2×	`frac-2neg` `clear-num`
1×	`frac-times` `exp-prod` `flip3--` `exp-to-pow` `flip3-+` `div-sub` `associate-r/` `rem-log-exp` `pow-prod-down` `associate-l/` `*-commutative` `flip--` `flip-+`

Counts

4 → 144

Calls

4 calls:

6.0ms	(/ (+ a b) a)
3.0ms	(log (exp (* (/ (+ a b) a) (/ (- a b) a))))
6.0ms	(/ (- a b) a)
19.0ms	(* (/ (+ a b) a) (/ (- a b) a))

series176.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(/ (+ a b) a)
61.0ms	(log (exp (* (/ (+ a b) a) (/ (- a b) a))))
30.0ms	(/ (- a b) a)
63.0ms	(* (/ (+ a b) a) (/ (- a b) a))

simplify65.0ms

Algorithm

egg-herbie

Counts

156 → 156

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	485	946
1	2467	852
2	5002	850

prune314.0ms

Filtered

156 candidates to 109 candidates (69.9%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	156	0	156
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	156	3	159

Merged error: 0b

Counts

159 → 3

regimes33.0ms

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	7
1	11	7

end0.0ms

sample792.0ms

Algorithm

intervals

Results

266.0ms	8000×	body	80	valid
144.0ms	8000×	pre	80	true
137.0ms	8021×	pre	80	false

Details

sample29.0ms

simplify50.0ms

prune2.0ms

localize7.0ms

rewrite16.0ms

series99.0ms

simplify159.0ms

prune125.0ms

localize8.0ms

rewrite35.0ms

series130.0ms

simplify65.0ms

prune275.0ms

localize9.0ms

rewrite38.0ms

series166.0ms

simplify66.0ms

prune231.0ms

localize12.0ms

rewrite40.0ms

series176.0ms

simplify65.0ms

prune314.0ms

regimes33.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample792.0ms

Profiling