Details

sample12.0ms

Algorithm

intervals

Results

6.0ms

256×

body

valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	3
1	9	3
2	9	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-/r*` `distribute-lft-out--` `difference-of-squares`
4×	`associate-/l*`
3×	`add-exp-log` `add-cbrt-cube`
2×	`associate-/r/` `associate-/l/`
1×	`pow1` `cbrt-undiv` `expm1-log1p-u` `flip3--` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip--` `flip-+` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 47

Calls

1 calls:

7.0ms

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

series63.0ms

Counts

1 → 3

Calls

1 calls:

63.0ms

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

simplify49.0ms

Algorithm

egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 2 (16.0ms)

Iter	Nodes	Cost
0	174	296
1	526	282
2	1532	278
3	5001	278

prune71.0ms

Filtered

50 candidates to 34 candidates (68.0%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	47	3	50
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	47	4	51

Merged error: 0b

Counts

51 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- x y))
0.5b	(cbrt (- x y))
0.5b	(cbrt (- x y))
0.5b	(* (cbrt (+ x y)) (cbrt (+ x y)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

39×	`cbrt-prod`
35×	`*-un-lft-identity`
29×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
9×	`pow1/3` `swap-sqr`
7×	`associate-r` `associate-l`
6×	`add-exp-log` `flip3-+` `flip-+` `distribute-lft-out`
4×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`flip3--` `flip--` `distribute-lft-out--` `difference-of-squares`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 106

Calls

4 calls:

3.0ms	(cbrt (- x y))
3.0ms	(cbrt (- x y))
3.0ms	(cbrt (- x y))
12.0ms	(* (cbrt (+ x y)) (cbrt (+ x y)))

series577.0ms

Counts

4 → 12

Calls

4 calls:

146.0ms	(cbrt (- x y))
141.0ms	(cbrt (- x y))
135.0ms	(cbrt (- x y))
155.0ms	(* (cbrt (+ x y)) (cbrt (+ x y)))

simplify161.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	302	761
1	1028	723
2	4719	670
3	5001	670

prune261.0ms

Filtered

118 candidates to 86 candidates (72.9%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	118	0	118
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	118	4	122

Merged error: 0b

Counts

122 → 4

localize8.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ x y))
0.5b	(cbrt (+ x y))
0.5b	(cbrt (+ x y))
0.5b	(* (cbrt (+ x y)) (cbrt (+ x y)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
35×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `swap-sqr` `flip-+` `distribute-lft-out`
7×	`associate-r` `associate-l`
6×	`add-exp-log`
4×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 103

Calls

4 calls:

3.0ms	(cbrt (+ x y))
3.0ms	(cbrt (+ x y))
3.0ms	(cbrt (+ x y))
10.0ms	(* (cbrt (+ x y)) (cbrt (+ x y)))

series533.0ms

Counts

4 → 12

Calls

4 calls:

130.0ms	(cbrt (+ x y))
125.0ms	(cbrt (+ x y))
120.0ms	(cbrt (+ x y))
157.0ms	(* (cbrt (+ x y)) (cbrt (+ x y)))

simplify142.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	255	701
1	933	660
2	4363	610
3	5001	610

prune201.0ms

Filtered

115 candidates to 83 candidates (72.2%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	115	0	115
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	115	4	119

Merged error: 0b

Counts

119 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (sqrt x) (sqrt y))
0.1b	(* (/ 1 (+ (sqrt x) (sqrt y))) (/ (+ x y) (- (sqrt x) (sqrt y))))
0.1b	(/ 1 (+ (sqrt x) (sqrt y)))
0.1b	(/ (+ x y) (- (sqrt x) (sqrt y)))

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

162×	`*-un-lft-identity`
143×	`add-sqr-sqrt`
109×	`times-frac`
73×	`sqrt-prod`
54×	`add-cube-cbrt`
42×	`associate-r`
36×	`difference-of-squares`
35×	`distribute-lft-out`
32×	`add-exp-log`
21×	`associate-l`
20×	`add-cbrt-cube`
18×	`distribute-lft-out--`
14×	`associate-/r*`
11×	`div-exp`
8×	`prod-exp` `associate-/r/`
7×	`pow1` `associate-/l*`
6×	`cbrt-undiv` `fma-def` `add-log-exp` `unswap-sqr`
4×	`expm1-log1p-u` `flip3-+` `cbrt-unprod` `flip-+` `log1p-expm1-u` `div-inv`
3×	`rec-exp` `1-exp`
2×	`flip3--` `frac-2neg` `clear-num` `flip--` `associate-/l/`
1×	`+-commutative` `frac-times` `pow-flip` `associate-r/` `pow-prod-down` `associate-l/` `sum-log` `*-commutative` `inv-pow`

Counts

4 → 226

Calls

4 calls:

5.0ms	(+ (sqrt x) (sqrt y))
35.0ms	(* (/ 1 (+ (sqrt x) (sqrt y))) (/ (+ x y) (- (sqrt x) (sqrt y))))
7.0ms	(/ 1 (+ (sqrt x) (sqrt y)))
10.0ms	(/ (+ x y) (- (sqrt x) (sqrt y)))

series1.1s

Counts

4 → 12

Calls

4 calls:

49.0ms	(+ (sqrt x) (sqrt y))
792.0ms	(* (/ 1 (+ (sqrt x) (sqrt y))) (/ (+ x y) (- (sqrt x) (sqrt y))))
65.0ms	(/ 1 (+ (sqrt x) (sqrt y)))
182.0ms	(/ (+ x y) (- (sqrt x) (sqrt y)))

simplify88.0ms

Algorithm

egg-herbie

Counts

238 → 238

Iterations

Useful iterations: 2 (68.0ms)

Iter	Nodes	Cost
0	690	2327
1	3611	2006
2	5001	1860

prune327.0ms

Filtered

238 candidates to 129 candidates (54.2%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	238	0	238
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	238	4	242

Merged error: 0b

Counts

242 → 4

regimes52.0ms

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	6	3
1	6	3

end0.0ms

sample312.0ms

Algorithm

intervals

Results

179.0ms

8000×

body

valid