Details

sample11.0ms

Algorithm

intervals

Results

4.0ms

256×

body

valid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	3
1	8	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) (+ y 1.0))

rewrite8.0ms

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` `expm1-log1p-u` `frac-2neg` `div-exp` `clear-num` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 42

Calls

1 calls:

7.0ms

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

series33.0ms

Counts

1 → 3

Calls

1 calls:

33.0ms

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

simplify51.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 2 (15.0ms)

Iter	Nodes	Cost
0	197	262
1	620	246
2	1970	245
3	5001	245

prune59.0ms

Filtered

45 candidates to 30 candidates (66.7%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	42	3	45
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	43	3	46

Merged error: 0b

Counts

46 → 3

localize5.0ms

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` `expm1-log1p-u` `frac-times` `rec-exp` `1-exp` `associate-*l/` `cbrt-unprod` `log1p-expm1-u` `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 → 87

Calls

2 calls:

5.0ms	(/ 1 (+ y 1.0))
14.0ms	(* (+ x y) (/ 1 (+ y 1.0)))

series55.0ms

Counts

2 → 6

Calls

2 calls:

22.0ms	(/ 1 (+ y 1.0))
33.0ms	(* (+ x y) (/ 1 (+ y 1.0)))

simplify48.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	361	480
1	1694	416
2	5002	380

prune97.0ms

Filtered

93 candidates to 54 candidates (58.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	93	0	93
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	93	3	96

Merged error: 0b

Counts

96 → 3

localize8.0ms

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)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

54×	`*-un-lft-identity`
41×	`add-sqr-sqrt`
34×	`add-cube-cbrt`
33×	`times-frac`
22×	`associate-l`
18×	`prod-diff`
11×	`distribute-rgt-in` `distribute-lft-in`
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` `expm1-log1p-u` `frac-times` `sub-neg` `associate-*r/` `div-exp` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `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 → 113

Calls

2 calls:

15.0ms	(* (/ (+ x y) (- (* y y) (* 1.0 1.0))) (- y 1.0))
7.0ms	(/ (+ x y) (- (* y y) (* 1.0 1.0)))

series135.0ms

Counts

2 → 6

Calls

2 calls:

65.0ms	(* (/ (+ x y) (- (* y y) (* 1.0 1.0))) (- y 1.0))
70.0ms	(/ (+ x y) (- (* y y) (* 1.0 1.0)))

simplify81.0ms

Algorithm

egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 2 (68.0ms)

Iter	Nodes	Cost
0	579	1336
1	2961	1135
2	5001	1119

prune158.0ms

Filtered

119 candidates to 76 candidates (63.9%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	118	1	119
Fresh	1	0	1
Picked	0	1	1
Done	0	1	1
Total	119	3	122

Merged error: 0b

Counts

122 → 3

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

253×	`times-frac`
204×	`add-sqr-sqrt`
200×	`*-un-lft-identity`
192×	`add-cube-cbrt`
169×	`prod-diff`
29×	`div-inv`
13×	`fma-neg`
4×	`distribute-lft-out--` `difference-of-squares`
3×	`add-log-exp`
1×	`pow1` `add-exp-log` `expm1-log1p-u` `sub-neg` `flip3--` `distribute-rgt-out--` `diff-log` `frac-sub` `add-cbrt-cube` `flip--` `log1p-expm1-u` `sub-div`

Counts

1 → 207

Calls

1 calls:

16.0ms

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

series30.0ms

Counts

1 → 3

Calls

1 calls:

30.0ms

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

simplify91.0ms

Algorithm

egg-herbie

Counts

210 → 210

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	692	4514
1	1841	3192
2	5001	2769

prune179.0ms

Filtered

210 candidates to 62 candidates (29.5%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	210	0	210
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	210	3	213

Merged error: 0b

Counts

213 → 3

regimes24.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	4
1	13	4

end0.0ms

sample265.0ms

Algorithm

intervals

Results

141.0ms	7998×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	320	valid