Details

sample10.0ms

Algorithm

intervals

Results

4.0ms

256×

body

valid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	5	2
1	5	2

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

localize3.0ms

Local error

Found 1 expressions with local error:

0.0b	(/ x (+ x y))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

18×	`*-un-lft-identity`
12×	`times-frac`
10×	`add-sqr-sqrt` `add-cube-cbrt`
4×	`associate-/r*` `distribute-lft-out`
3×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
2×	`associate-/r/`
1×	`pow1` `cbrt-undiv` `expm1-log1p-u` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip-+` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 35

Calls

1 calls:

5.0ms

(/ x (+ x y))

series44.0ms

Counts

1 → 3

Calls

1 calls:

43.0ms

(/ x (+ x y))

simplify77.0ms

Algorithm

egg-herbie

Counts

38 → 38

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	120	159
1	390	150
2	1055	150
3	3263	150
4	5001	150

prune43.0ms

Filtered

38 candidates to 27 candidates (71.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	36	2	38
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	36	3	39

Merged error: 0b

Counts

39 → 3

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 1 (+ x y))
0.2b	(* x (/ 1 (+ x y)))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

40×	`*-un-lft-identity`
29×	`add-sqr-sqrt`
26×	`times-frac`
22×	`add-cube-cbrt`
18×	`associate-r`
15×	`add-exp-log`
10×	`associate-*r/`
9×	`add-cbrt-cube`
8×	`associate-/r*` `distribute-lft-out`
7×	`associate-/l*`
5×	`pow1`
4×	`div-exp` `prod-exp` `associate-/r/`
3×	`associate-l` `clear-num` `un-div-inv` `unswap-sqr`
2×	`cbrt-undiv` `expm1-log1p-u` `rec-exp` `frac-2neg` `flip3-+` `1-exp` `cbrt-unprod` `flip-+` `log1p-expm1-u` `div-inv` `add-log-exp`
1×	`pow-flip` `pow-prod-down` `*-commutative` `inv-pow`

Counts

2 → 93

Calls

2 calls:

5.0ms	(/ 1 (+ x y))
11.0ms	(* x (/ 1 (+ x y)))

series79.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(/ 1 (+ x y))
45.0ms	(* x (/ 1 (+ x y)))

simplify61.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (25.0ms)

Iter	Nodes	Cost
0	237	376
1	1033	324
2	3524	282
3	5001	282

prune83.0ms

Filtered

99 candidates to 54 candidates (54.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	99	3	102

Merged error: 0b

Counts

102 → 3

localize7.0ms

Local error

Found 3 expressions with local error:

3.3b	(- (* x x) (* y y))
6.2b	(* (/ x (- (* x x) (* y y))) (- x y))
18.5b	(/ x (- (* x x) (* y y)))

rewrite145.0ms

Algorithm

rewrite-expression-head

Rules

871×	`add-sqr-sqrt`
386×	`*-un-lft-identity`
276×	`difference-of-squares`
252×	`add-cube-cbrt`
243×	`prod-diff`
242×	`associate-l`
225×	`swap-sqr`
199×	`times-frac`
143×	`unswap-sqr`
142×	`*-commutative`
132×	`associate-/r*`
98×	`associate-r`
78×	`frac-times`
56×	`distribute-lft-out--`
43×	`flip3--` `flip--`
39×	`associate-*l/`
15×	`fma-neg`
12×	`associate-/l*`
11×	`distribute-rgt-in` `distribute-lft-in`
10×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `add-log-exp`
4×	`frac-2neg` `clear-num` `associate-/r/`
3×	`expm1-log1p-u` `sub-neg` `log1p-expm1-u`
2×	`cbrt-undiv` `associate-*r/` `div-exp` `prod-exp` `cbrt-unprod` `div-inv`
1×	`diff-log` `pow-prod-down`

Counts

3 → 703

Calls

3 calls:

24.0ms	(- (* x x) (* y y))
42.0ms	(* (/ x (- (* x x) (* y y))) (- x y))
22.0ms	(/ x (- (* x x) (* y y)))

series155.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(- (* x x) (* y y))
69.0ms	(* (/ x (- (* x x) (* y y))) (- x y))
51.0ms	(/ x (- (* x x) (* y y)))

simplify105.0ms

Algorithm

egg-herbie

Counts

712 → 712

Iterations

Useful iterations: 1 (32.0ms)

Iter	Nodes	Cost
0	1507	6682
1	5001	5104

prune407.0ms

Filtered

712 candidates to 185 candidates (26.0%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	712	0	712
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	712	3	715

Merged error: 0b

Counts

715 → 3

regimes44.0ms

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	5	2
1	5	2

end0.0ms

sample236.0ms

Algorithm

intervals

Results

121.0ms

8000×

body

valid