Details

sample14.0ms

Algorithm

intervals

Results

7.0ms

256×

body

valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

prune1.0ms

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

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b	(/ (- x y) (- 1.0 y))

rewrite11.0ms

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) (- 1.0 y))

series37.0ms

Counts

1 → 3

Calls

1 calls:

37.0ms

(/ (- x y) (- 1.0 y))

simplify59.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 2 (19.0ms)

Iter	Nodes	Cost
0	259	377
1	714	359
2	2580	358
3	5001	358

prune89.0ms

Filtered

57 candidates to 40 candidates (70.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	55	2	57
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	55	3	58

Merged error: 0b

Counts

58 → 3

localize8.0ms

Local error

Found 2 expressions with local error:

0.1b	(* (/ (- x y) (- (* 1.0 1.0) (* y y))) (+ 1.0 y))
10.6b	(/ (- x y) (- (* 1.0 1.0) (* y y)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 102

Calls

2 calls:

15.0ms	(* (/ (- x y) (- (* 1.0 1.0) (* y y))) (+ 1.0 y))
10.0ms	(/ (- x y) (- (* 1.0 1.0) (* y y)))

series139.0ms

Counts

2 → 6

Calls

2 calls:

65.0ms	(* (/ (- x y) (- (* 1.0 1.0) (* y y))) (+ 1.0 y))
74.0ms	(/ (- x y) (- (* 1.0 1.0) (* y y)))

simplify69.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	649	975
1	2586	898
2	5001	893

prune180.0ms

Filtered

108 candidates to 83 candidates (76.9%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	108	0	108
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	108	3	111

Merged error: 0b

Counts

111 → 3

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (- 1.0 y))
0.1b	(/ 1 (sqrt (- 1.0 y)))
0.1b	(* (/ 1 (sqrt (- 1.0 y))) (/ (- x y) (sqrt (- 1.0 y))))
0.1b	(/ (- x y) (sqrt (- 1.0 y)))

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

196×	`add-sqr-sqrt`
155×	`*-un-lft-identity`
150×	`times-frac`
106×	`sqrt-prod`
77×	`add-cube-cbrt`
46×	`associate-r`
36×	`distribute-lft-out--` `difference-of-squares`
32×	`add-exp-log`
30×	`associate-l`
20×	`add-cbrt-cube`
16×	`associate-/r*`
15×	`unswap-sqr`
11×	`div-exp`
10×	`sqrt-div`
9×	`pow1`
8×	`prod-exp` `associate-/r/` `associate-/l*`
6×	`cbrt-undiv` `flip3--` `flip--`
4×	`expm1-log1p-u` `cbrt-unprod` `log1p-expm1-u` `div-inv` `add-log-exp`
3×	`rec-exp` `pow-flip` `1-exp`
2×	`frac-2neg` `sqrt-pow1` `pow1/2` `clear-num` `associate-/l/`
1×	`frac-times` `rem-sqrt-square` `div-sub` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative` `inv-pow`

Counts

4 → 265

Calls

4 calls:

4.0ms	(sqrt (- 1.0 y))
7.0ms	(/ 1 (sqrt (- 1.0 y)))
42.0ms	(* (/ 1 (sqrt (- 1.0 y))) (/ (- x y) (sqrt (- 1.0 y))))
10.0ms	(/ (- x y) (sqrt (- 1.0 y)))

series205.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(sqrt (- 1.0 y))
57.0ms	(/ 1 (sqrt (- 1.0 y)))
35.0ms	(* (/ 1 (sqrt (- 1.0 y))) (/ (- x y) (sqrt (- 1.0 y))))
82.0ms	(/ (- x y) (sqrt (- 1.0 y)))

simplify106.0ms

Algorithm

egg-herbie

Counts

277 → 277

Iterations

Useful iterations: 2 (75.0ms)

Iter	Nodes	Cost
0	866	2481
1	4037	2183
2	5002	2048

prune391.0ms

Filtered

277 candidates to 153 candidates (55.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	277	0	277
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	277	3	280

Merged error: 0b

Counts

280 → 3

regimes43.0ms

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	6	3

end0.0ms

sample298.0ms

Algorithm

intervals

Results

173.0ms

8000×

body

valid