Details

sample40.0ms

Algorithm

intervals

Results

16.0ms	256×	body	80	valid
6.0ms	256×	pre	80	true
6.0ms	269×	pre	80	false

simplify52.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	7
1	48	7
2	110	7
3	284	7
4	1580	7
5	5001	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.3b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* a a) (* b b))
12.9b	(/ (- (* a a) (* b b)) (* a a))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-exp-log` `add-cbrt-cube`
4×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `times-frac` `associate-/l` `add-log-exp`
3×	`difference-of-squares`
2×	`pow1` `cbrt-undiv` `expm1-log1p-u` `flip3--` `div-exp` `flip--` `log1p-expm1-u` `associate-/l/`
1×	`sub-neg` `frac-2neg` `fma-neg` `diff-log` `div-sub` `prod-diff` `prod-exp` `clear-num` `associate-/r*` `cbrt-unprod` `div-inv`

Counts

2 → 45

Calls

2 calls:

3.0ms	(- (* a a) (* b b))
9.0ms	(/ (- (* a a) (* b b)) (* a a))

series82.0ms

Counts

2 → 6

Calls

2 calls:

30.0ms	(- (* a a) (* b b))
52.0ms	(/ (- (* a a) (* b b)) (* a a))

simplify159.0ms

Algorithm

egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 2 (25.0ms)

Iter	Nodes	Cost
0	217	310
1	998	263
2	4926	260
3	5001	260

prune123.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

67×	`*-un-lft-identity`
65×	`add-sqr-sqrt`
58×	`times-frac`
39×	`add-cube-cbrt`
19×	`add-exp-log` `associate-r` `add-cbrt-cube`
16×	`associate-l`
9×	`associate-/l*`
7×	`distribute-lft-out` `distribute-lft-out--` `difference-of-squares`
6×	`cbrt-undiv` `div-exp` `associate-/r*`
5×	`pow1`
4×	`prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `unswap-sqr`
3×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`frac-2neg` `clear-num`
1×	`frac-times` `flip3--` `flip3-+` `div-sub` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative` `flip--` `flip-+`

Counts

3 → 136

Calls

3 calls:

8.0ms	(/ (+ a b) a)
11.0ms	(/ (- a b) a)
29.0ms	(* (/ (+ a b) a) (/ (- a b) a))

series114.0ms

Counts

3 → 9

Calls

3 calls:

21.0ms	(/ (+ a b) a)
34.0ms	(/ (- a b) a)
58.0ms	(* (/ (+ a b) a) (/ (- a b) a))

simplify64.0ms

Algorithm

egg-herbie

Counts

145 → 145

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	477	842
1	2481	767
2	5001	764

prune319.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (/ a (+ a b)))
0.0b	(/ (- a b) a)
0.0b	(* (/ 1 (/ a (+ a b))) (/ (- a b) a))
0.1b	(/ a (+ a b))

rewrite94.0ms

Algorithm

rewrite-expression-head

Rules

251×	`times-frac`
194×	`*-un-lft-identity`
173×	`add-sqr-sqrt`
126×	`add-cube-cbrt`
64×	`add-exp-log`
59×	`associate-l`
34×	`add-cbrt-cube`
30×	`div-exp`
25×	`associate-/r*` `distribute-lft-out`
19×	`associate-r`
18×	`associate-/r/`
14×	`cbrt-undiv` `prod-exp`
12×	`div-inv`
11×	`associate-/l*`
10×	`unswap-sqr`
8×	`flip3-+` `flip-+`
7×	`pow1` `distribute-lft-out--` `difference-of-squares`
6×	`rec-exp` `1-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`frac-2neg` `clear-num`
2×	`associate-/l/`
1×	`frac-times` `flip3--` `pow-flip` `div-sub` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative` `flip--` `inv-pow`

Counts

4 → 295

Calls

4 calls:

9.0ms	(/ 1 (/ a (+ a b)))
9.0ms	(/ (- a b) a)
56.0ms	(* (/ 1 (/ a (+ a b))) (/ (- a b) a))
5.0ms	(/ a (+ a b))

series157.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(/ 1 (/ a (+ a b)))
34.0ms	(/ (- a b) a)
58.0ms	(* (/ 1 (/ a (+ a b))) (/ (- a b) a))
44.0ms	(/ a (+ a b))

simplify47.0ms

Algorithm

egg-herbie

Counts

307 → 307

Iterations

Useful iterations: 1 (26.0ms)

Iter	Nodes	Cost
0	971	2145
1	5002	1871

prune671.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (/ (- a b) a) (/ a (+ a b)))
0.0b	(/ (- a b) a)
0.1b	(/ a (+ a b))

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

894×	`times-frac`
603×	`*-un-lft-identity`
475×	`add-sqr-sqrt`
353×	`add-cube-cbrt`
64×	`distribute-lft-out`
61×	`distribute-lft-out--` `difference-of-squares`
43×	`associate-/r/`
42×	`div-inv`
27×	`associate-/l*`
25×	`associate-/r*`
21×	`flip3-+` `flip-+`
19×	`add-exp-log` `add-cbrt-cube`
10×	`cbrt-undiv` `div-exp`
3×	`pow1` `expm1-log1p-u` `frac-2neg` `div-sub` `clear-num` `log1p-expm1-u` `associate-/l/` `add-log-exp`
1×	`flip3--` `flip--`

Counts

3 → 477

Calls

3 calls:

24.0ms	(/ (/ (- a b) a) (/ a (+ a b)))
9.0ms	(/ (- a b) a)
5.0ms	(/ a (+ a b))

series138.0ms

Counts

3 → 9

Calls

3 calls:

63.0ms	(/ (/ (- a b) a) (/ a (+ a b)))
37.0ms	(/ (- a b) a)
38.0ms	(/ a (+ a b))

simplify89.0ms

Algorithm

egg-herbie

Counts

486 → 486

Iterations

Useful iterations: 1 (37.0ms)

Iter	Nodes	Cost
0	1827	5919
1	5002	5794

prune1.2s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes28.0ms

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

sample1.1s

Algorithm

intervals

Results

504.0ms	8000×	body	80	valid
186.0ms	8047×	pre	80	false
182.0ms	8000×	pre	80	true