Details

sample12.0ms

Algorithm

intervals

Results

5.0ms

291×

body

valid

simplify7.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	8	3
1	11	3
2	13	3
3	13	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: 0.3b

Counts

2 → 1

localize7.0ms

Local error

Found 1 expressions with local error:

0.3b	(/ (+ x y) (+ y y))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

75×	`*-un-lft-identity`
48×	`times-frac`
39×	`add-sqr-sqrt` `add-cube-cbrt`
28×	`distribute-lft-out`
15×	`distribute-rgt-out`
12×	`associate-/r*`
5×	`distribute-lft1-in` `count-2` `distribute-rgt1-in`
4×	`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 → 80

Calls

1 calls:

9.0ms

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

series29.0ms

Counts

1 → 3

Calls

1 calls:

29.0ms

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

simplify114.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	225	519
1	735	476
2	3027	476
3	5001	476

prune104.0ms

Filtered

83 candidates to 47 candidates (56.6%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	81	2	83
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	82	2	84

Merged error: 0b

Counts

84 → 2

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* 1/2 (/ x y)) 1/2)
0.0b	(* 1/2 (/ x y))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
13×	`associate-r`
10×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
7×	`add-exp-log` `add-cbrt-cube`
4×	`pow1` `add-log-exp`
3×	`associate-l`
2×	`prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `flip3-+` `associate-r/` `div-exp` `pow-prod-down` `sum-log` `-commutative` `flip-+` `div-inv`

Counts

2 → 43

Calls

2 calls:

5.0ms	(+ (* 1/2 (/ x y)) 1/2)
7.0ms	(* 1/2 (/ x y))

series37.0ms

Counts

2 → 6

Calls

2 calls:

20.0ms	(+ (* 1/2 (/ x y)) 1/2)
18.0ms	(* 1/2 (/ x y))

simplify103.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	219	199
1	999	186
2	4355	183
3	5002	183

prune78.0ms

Filtered

49 candidates to 34 candidates (69.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

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

Merged error: 0b

Counts

51 → 2

localize10.0ms

Local error

Found 3 expressions with local error:

8.4b	(/ (/ (+ x y) 2) (pow y 3))
17.8b	(- (* y y) (* y y))
31.1b	(* (/ (/ (+ x y) 2) (pow y 3)) (+ (* y y) (- (* y y) (* y y))))

rewrite96.0ms

Algorithm

rewrite-expression-head

Rules

696×	`times-frac`
454×	`*-un-lft-identity`
332×	`add-sqr-sqrt`
304×	`add-cube-cbrt`
196×	`associate-l`
101×	`unpow-prod-down` `cube-prod`
77×	`distribute-lft-out`
37×	`add-exp-log`
35×	`sqr-pow`
33×	`cube-mult` `unpow3`
27×	`div-inv`
18×	`div-exp`
17×	`add-cbrt-cube`
16×	`associate-/l*`
12×	`associate-/r*`
9×	`unswap-sqr`
7×	`prod-exp`
6×	`cbrt-undiv`
5×	`pow1` `associate-r` `add-log-exp`
4×	`pow-to-exp` `pow-exp`
3×	`cbrt-unprod`
2×	`frac-times` `distribute-rgt-out--` `flip3-+` `associate-*r/` `flip-+` `distribute-lft-out--`
1×	`distribute-rgt-in` `sub-neg` `flip3--` `frac-2neg` `distribute-lft-in` `+-inverses` `diff-log` `pow-prod-down` `associate-l/` `clear-num` `-commutative` `flip--` `associate-/l/` `difference-of-squares`

Counts

3 → 491

Calls

3 calls:

13.0ms	(/ (/ (+ x y) 2) (pow y 3))
3.0ms	(- (* y y) (* y y))
49.0ms	(* (/ (/ (+ x y) 2) (pow y 3)) (+ (* y y) (- (* y y) (* y y))))

series83.0ms

Counts

3 → 9

Calls

3 calls:

45.0ms	(/ (/ (+ x y) 2) (pow y 3))
1.0ms	(- (* y y) (* y y))
37.0ms	(* (/ (/ (+ x y) 2) (pow y 3)) (+ (* y y) (- (* y y) (* y y))))

simplify93.0ms

Algorithm

egg-herbie

Counts

500 → 500

Iterations

Useful iterations: 1 (41.0ms)

Iter	Nodes	Cost
0	1856	4397
1	5001	4034

prune835.0ms

Filtered

500 candidates to 261 candidates (52.2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	500	0	500
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	500	2	502

Merged error: 0b

Counts

502 → 2

regimes24.0ms

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	3
1	8	3

end0.0ms

sample291.0ms

Algorithm

intervals

Results

160.0ms

9111×

body

valid