Details

sample17.0ms

Algorithm

intervals

Results

7.0ms

443×

body

valid

simplify28.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	11	3
1	27	3
2	66	3
3	113	3
4	145	3
5	165	3
6	182	3
7	184	3
8	184	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

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (+ x y) (+ x y))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

19×	`*-un-lft-identity`
8×	`pow1`
7×	`add-sqr-sqrt`
6×	`flip3-+` `swap-sqr` `flip-+` `distribute-lft-out`
5×	`add-cube-cbrt`
4×	`frac-times` `associate-r` `associate-l`
3×	`add-exp-log` `add-cbrt-cube`
2×	`associate-r/` `associate-l/`
1×	`pow2` `distribute-rgt-in` `expm1-log1p-u` `distribute-lft-in` `pow-plus` `pow-prod-down` `prod-exp` `pow-sqr` `*-commutative` `pow-prod-up` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`

Counts

1 → 42

Calls

1 calls:

9.0ms

(* (+ x y) (+ x y))

series22.0ms

Counts

1 → 3

Calls

1 calls:

21.0ms

(* (+ x y) (+ x y))

simplify46.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	194	221
1	953	194
2	5002	180

prune51.0ms

Filtered

45 candidates to 21 candidates (46.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	43	2	45
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	43	3	46

Merged error: 0b

Counts

46 → 3

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(* x (+ x y))
0.0b	(* y (+ x y))
0.0b	(+ (* x (+ x y)) (* y (+ x y)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

12×	`associate-*r/`
11×	`add-sqr-sqrt` `*-un-lft-identity`
8×	`associate-r`
7×	`pow1` `add-exp-log` `add-cube-cbrt` `flip3-+` `add-cbrt-cube` `flip-+`
6×	`associate-l`
5×	`add-log-exp`
4×	`distribute-rgt-in` `distribute-lft-in` `frac-add`
3×	`expm1-log1p-u` `log1p-expm1-u`
2×	`associate-+l+` `associate-+r+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`
1×	`+-commutative` `distribute-rgt-out` `fma-def` `sum-log`

Counts

3 → 73

Calls

3 calls:

6.0ms	(* x (+ x y))
10.0ms	(* y (+ x y))
8.0ms	(+ (* x (+ x y)) (* y (+ x y)))

series84.0ms

Counts

3 → 9

Calls

3 calls:

29.0ms	(* x (+ x y))
29.0ms	(* y (+ x y))
26.0ms	(+ (* x (+ x y)) (* y (+ x y)))

simplify80.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 2 (68.0ms)

Iter	Nodes	Cost
0	371	403
1	2121	342
2	5002	336

prune129.0ms

Filtered

82 candidates to 56 candidates (68.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	82	0	82
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	82	3	85

Merged error: 0b

Counts

85 → 3

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (+ (* x x) (- (* y y) (* x y))) (+ (* x x) (- (* y y) (* x y))))
0.5b	(+ (pow x 3) (pow y 3))
0.5b	(+ (pow x 3) (pow y 3))
41.4b	(/ (* (+ (pow x 3) (pow y 3)) (+ (pow x 3) (pow y 3))) (* (+ (* x x) (- (* y y) (* x y))) (+ (* x x) (- (* y y) (* x y)))))

rewrite87.0ms

Algorithm

rewrite-expression-head

Rules

34×	`*-un-lft-identity`
24×	`fma-def`
20×	`flip3-+` `flip-+`
18×	`add-exp-log` `add-cbrt-cube`
16×	`add-sqr-sqrt`
14×	`add-cube-cbrt` `unpow-prod-down` `cube-prod`
12×	`frac-times`
11×	`pow1`
10×	`distribute-lft-out`
8×	`associate-/r/` `associate-/l/` `add-log-exp`
6×	`associate-r/` `associate-l/`
5×	`prod-exp` `cbrt-unprod`
4×	`cbrt-undiv` `expm1-log1p-u` `div-exp` `log1p-expm1-u`
3×	`swap-sqr` `associate-r` `associate-l`
2×	`+-commutative` `cube-mult` `unpow3` `sum-log` `sum-cubes` `sqr-pow`
1×	`pow2` `distribute-rgt-in` `frac-2neg` `distribute-lft-in` `times-frac` `pow-plus` `pow-prod-down` `clear-num` `associate-/r` `pow-sqr` `-commutative` `pow-prod-up` `div-inv` `associate-/l*` `unswap-sqr`

Counts

4 → 138

Calls

4 calls:

14.0ms	(* (+ (* x x) (- (* y y) (* x y))) (+ (* x x) (- (* y y) (* x y))))
13.0ms	(+ (pow x 3) (pow y 3))
12.0ms	(+ (pow x 3) (pow y 3))
40.0ms	(/ (* (+ (pow x 3) (pow y 3)) (+ (pow x 3) (pow y 3))) (* (+ (* x x) (- (* y y) (* x y))) (+ (* x x) (- (* y y) (* x y)))))

series244.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(* (+ (* x x) (- (* y y) (* x y))) (+ (* x x) (- (* y y) (* x y))))
54.0ms	(+ (pow x 3) (pow y 3))
60.0ms	(+ (pow x 3) (pow y 3))
61.0ms	(/ (* (+ (pow x 3) (pow y 3)) (+ (pow x 3) (pow y 3))) (* (+ (* x x) (- (* y y) (* x y))) (+ (* x x) (- (* y y) (* x y)))))

simplify114.0ms

Algorithm

egg-herbie

Counts

150 → 150

Iterations

Useful iterations: 2 (96.0ms)

Iter	Nodes	Cost
0	539	1766
1	3076	1356
2	5001	1297

prune429.0ms

Filtered

150 candidates to 103 candidates (68.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	150	0	150
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	150	3	153

Merged error: 0b

Counts

153 → 3

regimes67.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	3
1	5	3

end0.0ms

sample471.0ms

Algorithm

intervals

Results

250.0ms

14279×

body

valid