Details

sample15.0ms

Algorithm

intervals

Results

6.0ms

268×

body

valid

simplify13.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	12	3
1	16	3
2	18	3
3	18	3

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: 0.0b

Counts

2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(/ (- x y) (- z y))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

37×	`add-sqr-sqrt` `*-un-lft-identity`
25×	`times-frac`
13×	`add-cube-cbrt`
12×	`distribute-lft-out--` `difference-of-squares`
5×	`associate-/r` `associate-/l`
3×	`add-exp-log` `add-cbrt-cube`
2×	`flip3--` `associate-/r/` `flip--` `associate-/l/`
1×	`pow1` `cbrt-undiv` `expm1-log1p-u` `frac-2neg` `div-sub` `div-exp` `clear-num` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 54

Calls

1 calls:

9.0ms

(/ (- x y) (- z y))

series56.0ms

Counts

1 → 3

Calls

1 calls:

56.0ms

(/ (- x y) (- z y))

simplify68.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	228	361
1	634	347
2	2142	347
3	5002	347

prune106.0ms

Filtered

57 candidates to 39 candidates (68.4%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	54	3	57
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	55	3	58

Merged error: 0b

Counts

58 → 3

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ x (- z y))
0.0b	(/ y (- z y))
0.0b	(- (/ x (- z y)) (/ y (- z y)))

rewrite106.0ms

Algorithm

rewrite-expression-head

Rules

712×	`*-un-lft-identity`
702×	`add-sqr-sqrt`
693×	`times-frac`
441×	`prod-diff`
412×	`add-cube-cbrt`
149×	`distribute-lft-out--`
143×	`difference-of-squares`
94×	`associate-/r/`
48×	`flip3--` `flip--`
47×	`div-inv`
21×	`fma-neg`
10×	`associate-/r*`
7×	`add-exp-log` `add-cbrt-cube`
6×	`associate-/l*`
5×	`add-log-exp`
3×	`pow1` `expm1-log1p-u` `distribute-rgt-out--` `log1p-expm1-u`
2×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num`
1×	`sub-neg` `diff-log` `frac-sub` `sub-div`

Counts

3 → 571

Calls

3 calls:

6.0ms	(/ x (- z y))
6.0ms	(/ y (- z y))
39.0ms	(- (/ x (- z y)) (/ y (- z y)))

series155.0ms

Counts

3 → 9

Calls

3 calls:

33.0ms	(/ x (- z y))
45.0ms	(/ y (- z y))
77.0ms	(- (/ x (- z y)) (/ y (- z y)))

simplify202.0ms

Algorithm

egg-herbie

Counts

580 → 580

Iterations

Useful iterations: 2 (96.0ms)

Iter	Nodes	Cost
0	1209	15592
1	3242	11621
2	5001	10388

prune630.0ms

Filtered

580 candidates to 191 candidates (32.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	580	0	580
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	580	3	583

Merged error: 0b

Counts

583 → 3

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- x y) (- z y))
0.2b	(* (sqrt (/ (- x y) (- z y))) (sqrt (/ (- x y) (- z y))))
2.6b	(sqrt (/ (- x y) (- z y)))
2.6b	(sqrt (/ (- x y) (- z y)))

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

338×	`*-un-lft-identity`
288×	`add-sqr-sqrt`
248×	`sqrt-prod`
231×	`times-frac`
108×	`distribute-lft-out--`
94×	`add-cube-cbrt`
80×	`difference-of-squares`
60×	`swap-sqr`
34×	`associate-r` `associate-l`
21×	`pow1`
14×	`associate-/r/`
10×	`sqrt-pow1` `pow1/2`
9×	`unswap-sqr`
8×	`add-exp-log` `flip3--` `add-cbrt-cube` `flip--`
7×	`div-inv`
6×	`sqrt-div`
5×	`associate-/r` `pow-prod-up` `associate-/l`
4×	`expm1-log1p-u` `rem-sqrt-square` `log1p-expm1-u` `add-log-exp`
3×	`pow-prod-down` `pow-sqr`
2×	`associate-/l/`
1×	`cbrt-undiv` `pow2` `frac-times` `frac-2neg` `pow-plus` `sqrt-unprod` `div-sub` `associate-r/` `div-exp` `associate-l/` `prod-exp` `clear-num` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 311

Calls

4 calls:

9.0ms	(/ (- x y) (- z y))
39.0ms	(* (sqrt (/ (- x y) (- z y))) (sqrt (/ (- x y) (- z y))))
9.0ms	(sqrt (/ (- x y) (- z y)))
9.0ms	(sqrt (/ (- x y) (- z y)))

series336.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(/ (- x y) (- z y))
56.0ms	(* (sqrt (/ (- x y) (- z y))) (sqrt (/ (- x y) (- z y))))
112.0ms	(sqrt (/ (- x y) (- z y)))
118.0ms	(sqrt (/ (- x y) (- z y)))

simplify113.0ms

Algorithm

egg-herbie

Counts

323 → 323

Iterations

Useful iterations: 2 (74.0ms)

Iter	Nodes	Cost
0	487	2553
1	2100	2418
2	5002	2386

prune634.0ms

Filtered

323 candidates to 187 candidates (57.9%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	323	0	323
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	323	3	326

Merged error: 0b

Counts

326 → 3

localize10.0ms

Local error

Found 3 expressions with local error:

3.1b	(- (* z z) (* y y))
14.6b	(* (/ (- x y) (- (* z z) (* y y))) (+ z y))
15.7b	(/ (- x y) (- (* z z) (* y y)))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

48×	`add-sqr-sqrt`
45×	`*-un-lft-identity`
41×	`times-frac`
26×	`associate-l`
25×	`add-cube-cbrt`
21×	`difference-of-squares`
10×	`add-exp-log` `add-cbrt-cube`
9×	`distribute-lft-out--`
5×	`pow1` `associate-/l*` `add-log-exp`
4×	`flip3--` `associate-r` `associate-/r*` `associate-/r/` `flip--`
3×	`expm1-log1p-u` `log1p-expm1-u`
2×	`cbrt-undiv` `frac-times` `flip3-+` `associate-*r/` `div-exp` `prod-exp` `cbrt-unprod` `flip-+` `div-inv` `associate-/l/` `unswap-sqr`
1×	`distribute-rgt-in` `sub-neg` `frac-2neg` `distribute-lft-in` `fma-neg` `diff-log` `div-sub` `prod-diff` `pow-prod-down` `associate-l/` `clear-num` `-commutative` `distribute-lft-out`

Counts

3 → 119

Calls

3 calls:

4.0ms	(- (* z z) (* y y))
16.0ms	(* (/ (- x y) (- (* z z) (* y y))) (+ z y))
10.0ms	(/ (- x y) (- (* z z) (* y y)))

series197.0ms

Counts

3 → 9

Calls

3 calls:

33.0ms	(- (* z z) (* y y))
96.0ms	(* (/ (- x y) (- (* z z) (* y y))) (+ z y))
68.0ms	(/ (- x y) (- (* z z) (* y y)))

simplify87.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 2 (69.0ms)

Iter	Nodes	Cost
0	618	1034
1	2533	954
2	5001	888

prune294.0ms

Filtered

128 candidates to 98 candidates (76.6%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	128	0	128
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	128	3	131

Merged error: 0b

Counts

131 → 3

regimes70.0ms

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	7	5

end0.0ms

sample349.0ms

Algorithm

intervals

Results

181.0ms

8351×

body

valid