Details

sample24.0ms

Algorithm

intervals

Results

6.0ms	256×	body	80	valid
3.0ms	270×	pre	80	false
3.0ms	256×	pre	80	true

simplify50.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	19	7
1	48	7
2	110	7
3	284	7
4	1567	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: 12.6b

Counts

2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* a a) (* b b))
0.0b	(sqrt (fabs (/ (- (* a a) (* b b)) (* a a))))
12.2b	(/ (- (* a a) (* b b)) (* a a))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

26×	`*-commutative`
16×	`difference-of-squares`
8×	`times-frac`
4×	`prod-diff` `associate-/l*`
2×	`flip3--` `fma-neg` `associate-/r*` `flip--` `associate-/l/`
1×	`sub-neg` `frac-2neg` `pow1/2` `div-sub` `clear-num` `div-inv`

Counts

3 → 35

Calls

3 calls:

5.0ms	(- (* a a) (* b b))
1.0ms	(sqrt (fabs (/ (- (* a a) (* b b)) (* a a))))
8.0ms	(/ (- (* a a) (* b b)) (* a a))

series99.0ms

Counts

3 → 9

Calls

3 calls:

33.0ms	(- (* a a) (* b b))
17.0ms	(sqrt (fabs (/ (- (* a a) (* b b)) (* a a))))
48.0ms	(/ (- (* a a) (* b b)) (* a a))

simplify55.0ms

Algorithm

egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 3 (52.0ms)

Iter	Nodes	Cost
0	136	187
1	567	180
2	1833	178
3	5001	173

prune58.0ms

Filtered

44 candidates to 18 candidates (40.9%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	42	2	44
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	43	2	45

Merged error: 0.0b

Counts

45 → 2

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

28×	`associate-/l/`
25×	`frac-times`
15×	`clear-num`
14×	`frac-2neg`
7×	`flip3--` `flip3-+` `flip--` `flip-+`
5×	`associate-r/` `associate-l/`
4×	`div-inv`
1×	`pow1/2` `div-sub` `associate-r` `associate-l` `un-div-inv` `*-commutative`

Counts

4 → 51

Calls

4 calls:

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

series131.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(/ (+ a b) a)
19.0ms	(sqrt (fabs (* (/ (+ a b) a) (/ (- a b) a))))
59.0ms	(* (/ (+ a b) a) (/ (- a b) a))
32.0ms	(/ (- a b) a)

simplify56.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	292	348
1	1884	341
2	5002	328

prune152.0ms

Filtered

63 candidates to 48 candidates (76.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	62	1	63
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	63	2	65

Merged error: 0b

Counts

65 → 2

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

24×	`associate-/r/`
12×	`clear-num`
11×	`frac-2neg`
9×	`frac-times`
8×	`associate-/r*`
5×	`div-inv`
3×	`associate-r/` `associate-r` `associate-l` `associate-l/`
2×	`flip3--` `flip3-+` `flip--` `flip-+`
1×	`pow1/2` `un-div-inv` `*-commutative` `inv-pow`

Counts

4 → 39

Calls

4 calls:

3.0ms	(/ a (- a b))
1.0ms	(sqrt (fabs (/ 1 (* (/ a (+ a b)) (/ a (- a b))))))
9.0ms	(/ 1 (* (/ a (+ a b)) (/ a (- a b))))
3.0ms	(/ a (+ a b))

series162.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(/ a (- a b))
19.0ms	(sqrt (fabs (/ 1 (* (/ a (+ a b)) (/ a (- a b))))))
59.0ms	(/ 1 (* (/ a (+ a b)) (/ a (- a b))))
42.0ms	(/ a (+ a b))

simplify32.0ms

Algorithm

egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	172	161
1	862	161
2	5002	148

prune117.0ms

Filtered

51 candidates to 41 candidates (80.4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	51	0	51
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	51	2	53

Merged error: 0b

Counts

53 → 2

regimes23.0ms

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	15	8
1	15	8

end0.0ms

sample622.0ms

Algorithm

intervals

Results

190.0ms	8000×	body	80	valid
98.0ms	8000×	pre	80	true
97.0ms	8230×	pre	80	false