Details

sample12.0ms

Algorithm

intervals

Results

5.0ms

256×

body

valid

simplify10.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	11	3
1	14	3
2	16	3
3	16	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

localize4.0ms

Local error

Found 1 expressions with local error:

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

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 48

Calls

1 calls:

8.0ms

(/ (- x y) (+ x y))

series65.0ms

Counts

1 → 3

Calls

1 calls:

65.0ms

(/ (- x y) (+ x y))

simplify55.0ms

Algorithm

egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 3 (50.0ms)

Iter	Nodes	Cost
0	192	297
1	547	283
2	1899	283
3	5001	280

prune79.0ms

Filtered

51 candidates to 35 candidates (68.6%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	48	3	51
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	49	3	52

Merged error: 0.0b

Counts

52 → 3

localize5.0ms

Local error

Found 3 expressions with local error:

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

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

581×	`*-un-lft-identity`
484×	`times-frac`
331×	`add-sqr-sqrt`
324×	`prod-diff`
319×	`add-cube-cbrt`
123×	`distribute-lft-out`
82×	`associate-/r/`
41×	`flip3-+` `flip-+` `div-inv`
18×	`fma-neg`
8×	`associate-/r*`
7×	`add-exp-log` `add-cbrt-cube` `distribute-lft-out--`
6×	`associate-/l*`
5×	`add-log-exp`
4×	`difference-of-squares`
3×	`pow1` `expm1-log1p-u` `distribute-rgt-out--` `log1p-expm1-u`
2×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num`
1×	`sub-neg` `flip3--` `diff-log` `frac-sub` `flip--` `sub-div`

Counts

3 → 442

Calls

3 calls:

5.0ms	(/ y (+ x y))
6.0ms	(/ x (+ x y))
37.0ms	(- (/ x (+ x y)) (/ y (+ x y)))

series172.0ms

Counts

3 → 9

Calls

3 calls:

41.0ms	(/ y (+ x y))
45.0ms	(/ x (+ x y))
85.0ms	(- (/ x (+ x y)) (/ y (+ x y)))

simplify148.0ms

Algorithm

egg-herbie

Counts

451 → 451

Iterations

Useful iterations: 2 (68.0ms)

Iter	Nodes	Cost
0	927	10910
1	2600	7864
2	5001	6854

prune392.0ms

Filtered

451 candidates to 151 candidates (33.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	450	1	451
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	450	4	454

Merged error: 0b

Counts

454 → 4

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(exp (/ (- x y) (+ x y)))
0.0b	(log (exp (/ (- x y) (+ x y))))
0.0b	(/ (- x y) (+ x y))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

93×	`*-un-lft-identity`
61×	`add-sqr-sqrt`
60×	`times-frac`
52×	`exp-prod`
35×	`add-cube-cbrt`
27×	`log-pow`
16×	`distribute-lft-out`
13×	`distribute-lft-out--` `difference-of-squares`
6×	`associate-/r/`
5×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
4×	`pow1` `associate-/r*` `add-log-exp`
3×	`expm1-log1p-u` `log-prod` `flip3-+` `div-sub` `flip-+` `log1p-expm1-u` `div-inv`
2×	`exp-diff` `associate-/l/`
1×	`cbrt-undiv` `log-div` `flip3--` `frac-2neg` `div-exp` `rem-log-exp` `clear-num` `flip--` `rem-exp-log`

Counts

3 → 126

Calls

3 calls:

9.0ms	(exp (/ (- x y) (+ x y)))
10.0ms	(log (exp (/ (- x y) (+ x y))))
8.0ms	(/ (- x y) (+ x y))

series229.0ms

Counts

3 → 9

Calls

3 calls:

88.0ms	(exp (/ (- x y) (+ x y)))
73.0ms	(log (exp (/ (- x y) (+ x y))))
68.0ms	(/ (- x y) (+ x y))

simplify63.0ms

Algorithm

egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 3 (52.0ms)

Iter	Nodes	Cost
0	266	695
1	670	658
2	2184	654
3	5002	648

prune225.0ms

Filtered

135 candidates to 93 candidates (68.9%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	135	0	135
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	135	4	139

Merged error: 0b

Counts

139 → 4

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite157.0ms

Algorithm

rewrite-expression-head

Rules

1126×	`*-un-lft-identity`
944×	`times-frac`
648×	`prod-diff`
642×	`add-sqr-sqrt`
618×	`add-cube-cbrt`
238×	`distribute-lft-out`
160×	`associate-/r/`
80×	`flip3-+` `flip-+` `div-inv`
36×	`fma-neg`
14×	`distribute-lft-out--`
8×	`add-exp-log` `associate-/r*` `add-cbrt-cube` `add-log-exp` `difference-of-squares`
6×	`distribute-rgt-out--` `associate-/l*`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u`
2×	`cbrt-undiv` `sub-neg` `flip3--` `frac-2neg` `diff-log` `div-exp` `clear-num` `frac-sub` `flip--` `sub-div`

Counts

4 → 814

Calls

4 calls:

6.0ms	(/ x (+ x y))
6.0ms	(/ x (+ x y))
33.0ms	(- (/ x (+ x y)) (/ y (+ x y)))
36.0ms	(- (/ x (+ x y)) (/ y (+ x y)))

series262.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(/ x (+ x y))
48.0ms	(/ x (+ x y))
84.0ms	(- (/ x (+ x y)) (/ y (+ x y)))
88.0ms	(- (/ x (+ x y)) (/ y (+ x y)))

simplify237.0ms

Algorithm

egg-herbie

Counts

826 → 826

Iterations

Useful iterations: 2 (74.0ms)

Iter	Nodes	Cost
0	906	21512
1	2424	15428
2	5002	13408

prune1.1s

Filtered

826 candidates to 248 candidates (30.0%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	826	0	826
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	826	4	830

Merged error: 0b

Counts

830 → 4

regimes53.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	5
1	7	5

end0.0ms

sample314.0ms

Algorithm

intervals

Results

175.0ms

8000×

body

valid