Details

sample16.0ms

Algorithm

intervals

Results

6.0ms

441×

body

valid

simplify53.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

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×	`+-commutative` `distribute-rgt-in` `distribute-lft-in` `associate-r/` `associate-l/`
1×	`pow2` `expm1-log1p-u` `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 → 44

Calls

1 calls:

9.0ms

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

series18.0ms

Counts

1 → 3

Calls

1 calls:

18.0ms

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

simplify78.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 2 (71.0ms)

Iter	Nodes	Cost
0	192	229
1	932	202
2	5001	188

prune50.0ms

Filtered

47 candidates to 22 candidates (46.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	43	4	47
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	43	5	48

Merged error: 0.0b

Counts

48 → 5

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 108

Calls

3 calls:

6.0ms	(* y (+ x y))
7.0ms	(* x (+ x y))
21.0ms	(+ (* y (+ x y)) (* x (+ x y)))

series107.0ms

Counts

3 → 9

Calls

3 calls:

40.0ms	(* y (+ x y))
31.0ms	(* x (+ x y))
35.0ms	(+ (* y (+ x y)) (* x (+ x y)))

simplify135.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 2 (125.0ms)

Iter	Nodes	Cost
0	393	457
1	2175	395
2	5001	389

prune156.0ms

Filtered

117 candidates to 74 candidates (63.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	115	2	117
Fresh	3	0	3
Picked	1	0	1
Done	1	0	1
Total	120	2	122

Merged error: 0b

Counts

122 → 2

localize11.0ms

Local error

Found 1 expressions with local error:

0.0b	(fma (* 2 x) y (pow y 2))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

1.0ms

(fma (* 2 x) y (pow y 2))

series55.0ms

Counts

1 → 3

Calls

1 calls:

55.0ms

(fma (* 2 x) y (pow y 2))

simplify211.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 3 (30.0ms)

Iter	Nodes	Cost
0	30	59
1	80	52
2	374	48
3	1847	47
4	5002	47

prune29.0ms

Filtered

13 candidates to 11 candidates (84.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	13	0	13
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	13	2	15

Merged error: 0b

Counts

15 → 2

localize13.0ms

Local error

Found 1 expressions with local error:

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

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

1.0ms

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

series57.0ms

Counts

1 → 3

Calls

1 calls:

57.0ms

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

simplify174.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 4 (170.0ms)

Iter	Nodes	Cost
0	34	62
1	84	52
2	352	49
3	1718	49
4	5001	47

prune30.0ms

Filtered

13 candidates to 11 candidates (84.6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	13	0	13
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	13	2	15

Merged error: 0b

Counts

15 → 2

regimes28.0ms

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 (1.0ms)

Iter	Nodes	Cost
0	8	4
1	8	4

end0.0ms

sample432.0ms

Algorithm

intervals

Results

220.0ms

14000×

body

valid