Details

sample19.0ms

Algorithm

intervals

Results

8.0ms

324×

body

valid

simplify88.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 7 (87.0ms)

Iter	Nodes	Cost
0	20	5
1	47	5
2	146	5
3	356	5
4	750	5
5	1604	5
6	2577	5
7	5001	4

prune6.0ms

Filtered

1 candidates to 1 candidates (100.0%)

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 → 2

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b	(/ (* 4.0 (- (- x y) (* z 0.5))) z)

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

72×	`*-un-lft-identity`
60×	`add-sqr-sqrt`
54×	`times-frac`
36×	`associate-r`
32×	`add-cube-cbrt`
24×	`distribute-lft-out--`
20×	`associate-l`
18×	`associate-/l*`
8×	`difference-of-squares` `unswap-sqr`
6×	`add-exp-log` `add-cbrt-cube`
4×	`*-commutative`
3×	`associate-/r*`
2×	`cbrt-undiv` `associate-*r/` `div-exp` `associate-/l/`
1×	`pow1` `expm1-log1p-u` `flip3--` `frac-2neg` `prod-exp` `clear-num` `flip--` `cbrt-unprod` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 93

Calls

1 calls:

28.0ms

(/ (* 4.0 (- (- x y) (* z 0.5))) z)

series54.0ms

Counts

1 → 3

Calls

1 calls:

54.0ms

(/ (* 4.0 (- (- x y) (* z 0.5))) z)

simplify68.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	428	848
1	1828	812
2	5001	808

prune144.0ms

Filtered

96 candidates to 64 candidates (66.7%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	94	2	96
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	95	3	98

Merged error: 0b

Counts

98 → 3

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma 4.0 (/ (- x y) z) (- 2.0))
0.0b	(/ (- x y) z)

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt` `*-un-lft-identity`
15×	`times-frac`
12×	`add-cube-cbrt`
5×	`associate-/l*`
4×	`add-exp-log` `add-cbrt-cube` `distribute-lft-out--` `difference-of-squares`
3×	`associate-/r*`
2×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `associate-/l/` `add-log-exp`
1×	`cbrt-undiv` `flip3--` `frac-2neg` `div-sub` `div-exp` `clear-num` `flip--` `fma-udef` `div-inv`

Counts

2 → 50

Calls

2 calls:

1.0ms	(fma 4.0 (/ (- x y) z) (- 2.0))
6.0ms	(/ (- x y) z)

series72.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(fma 4.0 (/ (- x y) z) (- 2.0))
34.0ms	(/ (- x y) z)

simplify64.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	196	280
1	536	258
2	1931	258
3	5002	258

prune98.0ms

Filtered

56 candidates to 42 candidates (75.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	54	2	56
Fresh	2	0	2
Picked	1	0	1
Done	0	0	0
Total	57	2	59

Merged error: 0b

Counts

59 → 2

localize8.0ms

Local error

Found 1 expressions with local error:

0.0b	(fma 4.0 (- (/ x z) (/ y z)) (- 2.0))

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 4.0 (- (/ x z) (/ y z)) (- 2.0))

series38.0ms

Counts

1 → 3

Calls

1 calls:

38.0ms

(fma 4.0 (- (/ x z) (/ y z)) (- 2.0))

simplify65.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 4 (62.0ms)

Iter	Nodes	Cost
0	42	91
1	89	80
2	319	80
3	1512	79
4	5001	76

prune25.0ms

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

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma 4.0 (/ 1 (/ z (- x y))) (- 2.0))
0.0b	(/ z (- x y))
0.2b	(/ 1 (/ z (- x y)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

138×	`times-frac`
108×	`*-un-lft-identity`
107×	`add-sqr-sqrt`
73×	`add-cube-cbrt`
31×	`associate-/r*`
21×	`associate-/r/`
17×	`distribute-lft-out--` `difference-of-squares`
16×	`add-exp-log`
10×	`add-cbrt-cube` `associate-/l*`
8×	`div-exp`
6×	`div-inv`
5×	`flip3--` `flip--`
4×	`pow1` `cbrt-undiv` `clear-num`
3×	`expm1-log1p-u` `frac-2neg` `log1p-expm1-u` `add-log-exp`
2×	`rec-exp` `1-exp` `remove-double-div`
1×	`pow-flip` `fma-udef` `inv-pow`

Counts

3 → 171

Calls

3 calls:

1.0ms	(fma 4.0 (/ 1 (/ z (- x y))) (- 2.0))
5.0ms	(/ z (- x y))
10.0ms	(/ 1 (/ z (- x y)))

series110.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(fma 4.0 (/ 1 (/ z (- x y))) (- 2.0))
30.0ms	(/ z (- x y))
33.0ms	(/ 1 (/ z (- x y)))

simplify73.0ms

Algorithm

egg-herbie

Counts

180 → 180

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	484	1180
1	2140	1045
2	5001	920

prune222.0ms

Filtered

180 candidates to 94 candidates (52.2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	180	0	180
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	180	2	182

Merged error: 0b

Counts

182 → 2

regimes56.0ms

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	10	5

end0.0ms

sample474.0ms

Algorithm

intervals

Results

275.0ms

10071×

body

valid