Details

sample13.0ms

Algorithm

intervals

Results

5.0ms

256×

body

valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	8	3
1	8	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

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 40

Calls

1 calls:

8.0ms

(/ (+ x y) (+ y 1.0))

series43.0ms

Counts

1 → 3

Calls

1 calls:

43.0ms

(/ (+ x y) (+ y 1.0))

simplify60.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 3 (54.0ms)

Iter	Nodes	Cost
0	191	254
1	588	238
2	1797	238
3	5001	236

prune70.0ms

Filtered

43 candidates to 28 candidates (65.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	40	3	43
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	41	3	44

Merged error: 0b

Counts

44 → 3

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 1 (+ y 1.0))
0.1b	(* (+ x y) (/ 1 (+ y 1.0)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 83

Calls

2 calls:

5.0ms	(/ 1 (+ y 1.0))
13.0ms	(* (+ x y) (/ 1 (+ y 1.0)))

series75.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(/ 1 (+ y 1.0))
41.0ms	(* (+ x y) (/ 1 (+ y 1.0)))

simplify55.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	351	464
1	1645	402
2	5001	368

prune109.0ms

Filtered

89 candidates to 51 candidates (57.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	89	0	89
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	89	3	92

Merged error: 0b

Counts

92 → 3

localize10.0ms

Local error

Found 2 expressions with local error:

0.1b	(* (/ (+ x y) (- (* y y) (* 1.0 1.0))) (- y 1.0))
16.0b	(/ (+ x y) (- (* y y) (* 1.0 1.0)))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

42×	`*-un-lft-identity`
33×	`times-frac`
29×	`add-sqr-sqrt`
22×	`add-cube-cbrt` `associate-l`
10×	`difference-of-squares`
9×	`add-exp-log` `add-cbrt-cube` `distribute-lft-out`
5×	`associate-r`
4×	`pow1` `flip3--` `associate-/r` `associate-/r/` `flip--` `associate-/l`
2×	`cbrt-undiv` `distribute-rgt-in` `frac-times` `sub-neg` `distribute-lft-in` `associate-*r/` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `add-log-exp` `unswap-sqr`
1×	`frac-2neg` `flip3-+` `pow-prod-down` `associate-l/` `clear-num` `-commutative` `flip-+` `distribute-lft-out--`

Counts

2 → 91

Calls

2 calls:

16.0ms	(* (/ (+ x y) (- (* y y) (* 1.0 1.0))) (- y 1.0))
14.0ms	(/ (+ x y) (- (* y y) (* 1.0 1.0)))

series172.0ms

Counts

2 → 6

Calls

2 calls:

80.0ms	(* (/ (+ x y) (- (* y y) (* 1.0 1.0))) (- y 1.0))
92.0ms	(/ (+ x y) (- (* y y) (* 1.0 1.0)))

simplify75.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	443	880
1	2112	809
2	5001	731

prune169.0ms

Filtered

97 candidates to 71 candidates (73.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	97	0	97
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	97	3	100

Merged error: 0b

Counts

100 → 3

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(- (/ x y) (- (/ 1.0 y) 1))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `*-un-lft-identity` `add-log-exp`
3×	`diff-log` `distribute-lft-out--`
2×	`sub-neg` `flip3--` `frac-sub` `flip--` `associate--r+` `difference-of-squares`
1×	`pow1` `add-exp-log` `add-cube-cbrt` `times-frac` `add-cbrt-cube` `associate--r-`

Counts

1 → 22

Calls

1 calls:

17.0ms

(- (/ x y) (- (/ 1.0 y) 1))

series22.0ms

Counts

1 → 3

Calls

1 calls:

22.0ms

(- (/ x y) (- (/ 1.0 y) 1))

simplify91.0ms

Algorithm

egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 2 (26.0ms)

Iter	Nodes	Cost
0	184	189
1	736	176
2	3208	168
3	5001	168

prune49.0ms

Filtered

25 candidates to 18 candidates (72.0%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	25	0	25
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	25	3	28

Merged error: 0b

Counts

28 → 3

regimes35.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	4
1	13	4

end0.0ms

sample291.0ms

Algorithm

intervals

Results

161.0ms	7998×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	320	valid