Details

sample11.0ms

Algorithm

intervals

Results

5.0ms

256×

body

valid

simplify7.0ms

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

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) (+ x y))

rewrite9.0ms

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` `flip3--` `frac-2neg` `flip3-+` `div-sub` `div-exp` `clear-num` `flip--` `flip-+` `div-inv` `add-log-exp`

Counts

1 → 46

Calls

1 calls:

7.0ms

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

series64.0ms

Counts

1 → 3

Calls

1 calls:

64.0ms

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

simplify45.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 3 (41.0ms)

Iter	Nodes	Cost
0	187	290
1	526	276
2	1771	276
3	5002	273

prune68.0ms

Filtered

49 candidates to 33 candidates (67.3%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	44	5	49
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	45	5	50

Merged error: 0b

Counts

50 → 5

localize5.0ms

Local error

Found 3 expressions with local error:

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

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

63×	`*-un-lft-identity`
40×	`times-frac`
35×	`add-sqr-sqrt`
23×	`add-cube-cbrt`
12×	`distribute-lft-out`
8×	`associate-/r*` `associate-/r/`
7×	`add-exp-log` `add-cbrt-cube` `distribute-lft-out--`
6×	`associate-/l*`
5×	`add-log-exp`
4×	`flip3-+` `flip-+` `div-inv` `difference-of-squares`
3×	`pow1` `distribute-rgt-out--`
2×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num`
1×	`sub-neg` `flip3--` `diff-log` `frac-sub` `flip--` `sub-div`

Counts

3 → 94

Calls

3 calls:

5.0ms	(/ x (+ x y))
5.0ms	(/ y (+ x y))
20.0ms	(- (/ x (+ x y)) (/ y (+ x y)))

series150.0ms

Counts

3 → 9

Calls

3 calls:

37.0ms	(/ x (+ x y))
43.0ms	(/ y (+ x y))
70.0ms	(- (/ x (+ x y)) (/ y (+ x y)))

simplify62.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	260	536
1	791	515
2	2132	515
3	5001	515

prune130.0ms

Filtered

103 candidates to 74 candidates (71.8%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	102	1	103
Fresh	1	3	4
Picked	1	0	1
Done	0	0	0
Total	104	4	108

Merged error: 0b

Counts

108 → 4

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ x (+ x y))
0.0b	(/ y (+ x y))
0.0b	(- (/ x (+ x y)) (log (exp (/ y (+ x y)))))
2.9b	(log (exp (/ y (+ x y))))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

57×	`*-un-lft-identity`
37×	`add-sqr-sqrt` `times-frac`
32×	`add-cube-cbrt`
20×	`log-pow`
18×	`exp-prod`
11×	`distribute-lft-out`
8×	`add-exp-log` `associate-/r*` `add-cbrt-cube`
6×	`pow1` `log-prod` `associate-/r/` `associate-/l*`
5×	`add-log-exp`
3×	`flip3-+` `flip-+` `div-inv` `associate--r+`
2×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `distribute-lft-out--` `difference-of-squares`
1×	`sub-neg` `flip3--` `diff-log` `rem-log-exp` `flip--`

Counts

4 → 115

Calls

4 calls:

5.0ms	(/ x (+ x y))
5.0ms	(/ y (+ x y))
26.0ms	(- (/ x (+ x y)) (log (exp (/ y (+ x y)))))
7.0ms	(log (exp (/ y (+ x y))))

series191.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(/ x (+ x y))
37.0ms	(/ y (+ x y))
72.0ms	(- (/ x (+ x y)) (log (exp (/ y (+ x y)))))
41.0ms	(log (exp (/ y (+ x y))))

simplify55.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 2 (17.0ms)

Iter	Nodes	Cost
0	289	626
1	826	575
2	2177	572
3	5001	572

prune190.0ms

Filtered

127 candidates to 92 candidates (72.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	127	0	127
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	127	4	131

Merged error: 0b

Counts

131 → 4

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 84

Calls

2 calls:

5.0ms	(/ 1 (+ x y))
12.0ms	(* (- x y) (/ 1 (+ x y)))

series95.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(/ 1 (+ x y))
64.0ms	(* (- x y) (/ 1 (+ x y)))

simplify40.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	270	431
1	1245	372
2	5001	327

prune81.0ms

Filtered

90 candidates to 49 candidates (54.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	90	0	90
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	90	4	94

Merged error: 0b

Counts

94 → 4

regimes34.0ms

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	9	7
1	9	7

end0.0ms

sample292.0ms

Algorithm

intervals

Results

169.0ms

8000×

body

valid