Details

sample29.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
4.0ms	270×	pre	80	false
4.0ms	256×	pre	80	true

simplify51.0ms

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: 12.0b

Counts

2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(sqrt (fabs (/ (- (* a a) (* b b)) (* a a))))
0.0b	(- (* a a) (* b b))
11.7b	(/ (- (* 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:

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

series100.0ms

Counts

3 → 9

Calls

3 calls:

17.0ms	(sqrt (fabs (/ (- (* a a) (* b b)) (* a a))))
30.0ms	(- (* a a) (* b b))
53.0ms	(/ (- (* a a) (* b b)) (* a a))

simplify158.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 3 (153.0ms)

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

prune114.0ms

Filtered

61 candidates to 45 candidates (73.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

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

Merged error: 0.0b

Counts

62 → 2

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

rewrite37.0ms

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:

5.0ms	(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))

series131.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(sqrt (fabs (* (/ (+ a b) a) (/ (- a b) a))))
21.0ms	(/ (+ a b) a)
35.0ms	(/ (- a b) a)
59.0ms	(* (/ (+ a b) a) (/ (- a b) a))

simplify64.0ms

Algorithm

egg-herbie

Counts

155 → 155

Iterations

Useful iterations: 2 (52.0ms)

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

prune273.0ms

Filtered

155 candidates to 106 candidates (68.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	153	2	155
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	154	3	157

Merged error: 0b

Counts

157 → 3

localize8.0ms

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)

rewrite35.0ms

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)
12.0ms	(* (+ a b) (/ (- a b) a))
6.0ms	(/ (- a b) a)

series175.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(sqrt (fabs (/ (* (+ a b) (/ (- a b) a)) a)))
65.0ms	(/ (* (+ a b) (/ (- a b) a)) a)
62.0ms	(* (+ a b) (/ (- a b) a))
31.0ms	(/ (- 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

prune237.0ms

Filtered

134 candidates to 94 candidates (70.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	134	0	134
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	134	3	137

Merged error: 0b

Counts

137 → 3

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

93×	`add-sqr-sqrt`
87×	`*-un-lft-identity`
76×	`times-frac`
51×	`add-cube-cbrt`
22×	`add-exp-log` `add-cbrt-cube`
19×	`associate-r`
16×	`associate-l`
15×	`associate-/l*` `distribute-lft-out--` `difference-of-squares`
9×	`associate-/r*`
7×	`cbrt-undiv` `div-exp`
6×	`pow1` `associate-/l/`
5×	`div-inv`
4×	`prod-exp` `cbrt-unprod` `add-log-exp` `unswap-sqr`
3×	`flip3--` `frac-2neg` `div-sub` `clear-num` `flip--` `distribute-lft-out`
1×	`frac-times` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative`

Counts

4 → 173

Calls

4 calls:

16.0ms	(* (/ (+ a b) a) (/ (- a b) a))
6.0ms	(/ (- a b) a)
6.0ms	(/ (- a b) a)
6.0ms	(/ (- a b) a)

series158.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(* (/ (+ a b) a) (/ (- a b) a))
30.0ms	(/ (- a b) a)
30.0ms	(/ (- a b) a)
35.0ms	(/ (- a b) a)

simplify62.0ms

Algorithm

egg-herbie

Counts

185 → 185

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	424	1049
1	2220	964
2	5001	960

prune451.0ms

Filtered

185 candidates to 131 candidates (70.8%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	185	0	185
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	185	3	188

Merged error: 0b

Counts

188 → 3

regimes114.0ms

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

sample764.0ms

Algorithm

intervals

Results

258.0ms	8000×	body	80	valid
140.0ms	8124×	pre	80	false
134.0ms	8000×	pre	80	true

Details

sample29.0ms

simplify51.0ms

prune2.0ms

localize8.0ms

rewrite13.0ms

series100.0ms

simplify158.0ms

prune114.0ms

localize8.0ms

rewrite37.0ms

series131.0ms

simplify64.0ms

prune273.0ms

localize8.0ms

rewrite35.0ms

series175.0ms

simplify66.0ms

prune237.0ms

localize13.0ms

rewrite41.0ms

series158.0ms

simplify62.0ms

prune451.0ms

regimes114.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample764.0ms

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