Details

sample41.0ms

Algorithm

intervals

Results

13.0ms	256×	body	80	valid
5.0ms	291×	pre	80	false
4.0ms	256×	pre	80	true

simplify49.0ms

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

prune4.0ms

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: 16.0b

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))))
15.5b	(/ (- (* 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))

series116.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(- (* a a) (* b b))
17.0ms	(sqrt (fabs (/ (- (* a a) (* b b)) (* a a))))
63.0ms	(/ (- (* a a) (* b b)) (* a a))

simplify161.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 3 (156.0ms)

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

prune221.0ms

Filtered

61 candidates to 45 candidates (26.2%)

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: 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))

rewrite36.0ms

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)
8.0ms	(/ (+ a b) a)
15.0ms	(* (/ (+ a b) a) (/ (- a b) a))

series158.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(sqrt (fabs (* (/ (+ a b) a) (/ (- a b) a))))
39.0ms	(/ (- a b) a)
27.0ms	(/ (+ a b) a)
76.0ms	(* (/ (+ a b) a) (/ (- a b) a))

simplify65.0ms

Algorithm

egg-herbie

Counts

155 → 155

Iterations

Useful iterations: 2 (53.0ms)

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

prune1.1s

Filtered

155 candidates to 106 candidates (31.6%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Merged error: 0b

Counts

157 → 3

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))
0.0b	(/ (- a b) a)
0.0b	(/ (* (+ a b) (/ (- a b) a)) 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))
8.0ms	(/ (- a b) a)
11.0ms	(/ (* (+ a b) (/ (- a b) a)) a)

series201.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(sqrt (fabs (/ (* (+ a b) (/ (- a b) a)) a)))
72.0ms	(* (+ a b) (/ (- a b) a))
37.0ms	(/ (- a b) a)
76.0ms	(/ (* (+ a b) (/ (- a b) a)) a)

simplify65.0ms

Algorithm

egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	440	815
1	2436	731
2	5001	729

prune956.0ms

Filtered

134 candidates to 94 candidates (29.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	134	0	134
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
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)
0.0b	(* (/ (+ a b) a) (/ (- a b) a))
0.0b	(* (/ (+ a b) a) (/ (- a b) a))
0.0b	(* (/ (+ a b) a) (/ (- a b) a))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

118×	`add-sqr-sqrt`
108×	`*-un-lft-identity`
105×	`times-frac`
64×	`add-cube-cbrt`
57×	`associate-r`
48×	`associate-l`
42×	`add-exp-log` `add-cbrt-cube`
13×	`cbrt-undiv` `div-exp` `distribute-lft-out`
12×	`prod-exp` `cbrt-unprod` `unswap-sqr`
10×	`pow1`
9×	`distribute-lft-out--` `difference-of-squares`
7×	`div-inv`
4×	`associate-/l*` `add-log-exp`
3×	`frac-times` `associate-r/` `pow-prod-down` `associate-l/` `associate-/r` `-commutative`
2×	`associate-/l/`
1×	`frac-2neg` `flip3-+` `clear-num` `flip-+`

Counts

4 → 210

Calls

4 calls:

5.0ms	(/ (+ a b) a)
16.0ms	(* (/ (+ a b) a) (/ (- a b) a))
16.0ms	(* (/ (+ a b) a) (/ (- a b) a))
16.0ms	(* (/ (+ a b) a) (/ (- a b) a))

series255.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(/ (+ a b) a)
75.0ms	(* (/ (+ a b) a) (/ (- a b) a))
75.0ms	(* (/ (+ a b) a) (/ (- a b) a))
77.0ms	(* (/ (+ a b) a) (/ (- a b) a))

simplify60.0ms

Algorithm

egg-herbie

Counts

222 → 222

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	409	1545
1	2034	1367
2	5003	1367

prune2.6s

Filtered

222 candidates to 148 candidates (33.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	222	0	222
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	222	3	225

Merged error: 0b

Counts

225 → 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

sample890.0ms

Algorithm

intervals

Results

260.0ms	8000×	body	80	valid
129.0ms	8000×	pre	80	true
129.0ms	8060×	pre	80	false

Details

sample41.0ms

simplify49.0ms

prune4.0ms

localize7.0ms

rewrite13.0ms

series116.0ms

simplify161.0ms

prune221.0ms

localize8.0ms

rewrite36.0ms

series158.0ms

simplify65.0ms

prune1.1s

localize9.0ms

rewrite35.0ms

series201.0ms

simplify65.0ms

prune956.0ms

localize13.0ms

rewrite64.0ms

series255.0ms

simplify60.0ms

prune2.6s

regimes114.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample890.0ms

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