Details

sample14.0ms

Algorithm

intervals

Results

6.0ms

256×

body

valid

simplify12.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

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

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite11.0ms

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:

9.0ms

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

series78.0ms

Counts

1 → 3

Calls

1 calls:

78.0ms

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

simplify62.0ms

Algorithm

egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 3 (56.0ms)

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

prune88.0ms

Filtered

51 candidates to 35 candidates (68.6%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	49	2	51
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	50	2	52

Merged error: 0b

Counts

52 → 2

localize9.0ms

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))

rewrite37.0ms

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:

10.0ms	(exp (/ (- x y) (+ x y)))
11.0ms	(log (exp (/ (- x y) (+ x y))))
10.0ms	(/ (- x y) (+ x y))

series280.0ms

Counts

3 → 9

Calls

3 calls:

97.0ms	(exp (/ (- x y) (+ x y)))
104.0ms	(log (exp (/ (- x y) (+ x y))))
79.0ms	(/ (- x y) (+ x y))

simplify72.0ms

Algorithm

egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 3 (61.0ms)

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

prune277.0ms

Filtered

135 candidates to 94 candidates (69.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	135	0	135
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	135	2	137

Merged error: 0b

Counts

137 → 2

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (sqrt x) (sqrt y))
0.0b	(/ (+ (sqrt x) (sqrt y)) (/ (+ x y) (- (sqrt x) (sqrt y))))
0.0b	(- (sqrt x) (sqrt y))
0.1b	(/ (+ x y) (- (sqrt x) (sqrt y)))

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

598×	`*-un-lft-identity`
462×	`times-frac`
414×	`add-sqr-sqrt`
310×	`sqrt-prod`
174×	`add-cube-cbrt`
152×	`distribute-lft-out`
120×	`difference-of-squares`
60×	`distribute-lft-out--`
51×	`associate-/r*`
36×	`prod-diff`
15×	`associate-/r/`
11×	`add-exp-log` `add-cbrt-cube`
9×	`associate-/l*`
8×	`flip3--` `flip--` `div-inv` `add-log-exp`
6×	`fma-def` `fma-neg`
4×	`pow1` `cbrt-undiv` `expm1-log1p-u` `div-exp` `log1p-expm1-u` `associate-/l/`
3×	`flip3-+` `flip-+`
2×	`frac-2neg` `clear-num`
1×	`+-commutative` `sub-neg` `diff-log` `sum-log`

Counts

4 → 426

Calls

4 calls:

6.0ms	(+ (sqrt x) (sqrt y))
23.0ms	(/ (+ (sqrt x) (sqrt y)) (/ (+ x y) (- (sqrt x) (sqrt y))))
10.0ms	(- (sqrt x) (sqrt y))
10.0ms	(/ (+ x y) (- (sqrt x) (sqrt y)))

series552.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(+ (sqrt x) (sqrt y))
248.0ms	(/ (+ (sqrt x) (sqrt y)) (/ (+ x y) (- (sqrt x) (sqrt y))))
53.0ms	(- (sqrt x) (sqrt y))
200.0ms	(/ (+ x y) (- (sqrt x) (sqrt y)))

simplify141.0ms

Algorithm

egg-herbie

Counts

438 → 438

Iterations

Useful iterations: 2 (91.0ms)

Iter	Nodes	Cost
0	886	6622
1	4302	5728
2	5001	5708

prune450.0ms

Filtered

438 candidates to 168 candidates (38.4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	438	0	438
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	438	2	440

Merged error: 0b

Counts

440 → 2

regimes38.0ms

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	8	5
1	8	5

end0.0ms

sample311.0ms

Algorithm

intervals

Results

179.0ms

8000×

body

valid