Details

sample20.0ms

Algorithm

intervals

Results

10.0ms

319×

body

valid

simplify54.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	5
1	47	5
2	138	5
3	317	5
4	611	5
5	1239	5
6	1919	5
7	5001	5

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

localize10.0ms

Local error

Found 1 expressions with local error:

0.3b	(/ (* 4.0 (- (- x y) (* z 0.5))) z)

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-exp-log` `add-cbrt-cube`
3×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `times-frac` `associate-/r`
2×	`cbrt-undiv` `associate-*r/` `div-exp` `associate-/l/`
1×	`pow1` `flip3--` `frac-2neg` `prod-exp` `clear-num` `flip--` `cbrt-unprod` `div-inv` `associate-/l*` `add-log-exp`

Counts

1 → 23

Calls

1 calls:

10.0ms

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

series43.0ms

Counts

1 → 3

Calls

1 calls:

43.0ms

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

simplify91.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	187	192
1	790	156
2	4301	156
3	5001	156

prune48.0ms

Filtered

26 candidates to 19 candidates (73.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	23	3	26
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	24	3	27

Merged error: 0.0b

Counts

27 → 3

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* 4.0 (/ (- x y) z)) (- 2.0))
0.0b	(/ (- x y) z)

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt` `*-un-lft-identity`
15×	`times-frac`
12×	`add-cube-cbrt`
6×	`add-log-exp`
5×	`associate-/l*`
4×	`add-exp-log` `add-cbrt-cube` `distribute-lft-out--` `difference-of-squares`
3×	`associate-/r*`
2×	`pow1` `sum-log` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `neg-sub0` `associate-+r-` `flip3--` `frac-2neg` `flip3-+` `div-sub` `div-exp` `unsub-neg` `neg-log` `clear-num` `flip--` `flip-+` `div-inv`

Counts

2 → 53

Calls

2 calls:

8.0ms	(+ (* 4.0 (/ (- x y) z)) (- 2.0))
6.0ms	(/ (- x y) z)

series56.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(+ (* 4.0 (/ (- x y) z)) (- 2.0))
27.0ms	(/ (- x y) z)

simplify108.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 2 (25.0ms)

Iter	Nodes	Cost
0	270	327
1	935	295
2	4797	288
3	5001	288

prune91.0ms

Filtered

59 candidates to 40 candidates (67.8%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	57	2	59
Fresh	1	1	2
Picked	1	0	1
Done	0	0	0
Total	59	3	62

Merged error: 0b

Counts

62 → 3

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* 4.0 (- (/ x z) (/ y z))) (- 2.0))
0.0b	(- (/ x z) (/ y z))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
12×	`*-un-lft-identity`
10×	`times-frac`
8×	`add-log-exp`
4×	`add-cube-cbrt` `associate-+l+` `distribute-lft-out--` `difference-of-squares`
3×	`sub-neg`
2×	`pow1` `add-exp-log` `distribute-rgt-in` `distribute-lft-in` `sum-log` `add-cbrt-cube` `div-inv`
1×	`+-commutative` `neg-sub0` `associate-+r-` `flip3--` `distribute-rgt-out--` `flip3-+` `diff-log` `unsub-neg` `neg-log` `frac-sub` `flip--` `flip-+` `sub-div`

Counts

2 → 42

Calls

2 calls:

17.0ms	(+ (* 4.0 (- (/ x z) (/ y z))) (- 2.0))
13.0ms	(- (/ x z) (/ y z))

series50.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(+ (* 4.0 (- (/ x z) (/ y z))) (- 2.0))
23.0ms	(- (/ x z) (/ y z))

simplify79.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 2 (19.0ms)

Iter	Nodes	Cost
0	239	317
1	710	288
2	2937	280
3	5002	280

prune75.0ms

Filtered

48 candidates to 33 candidates (68.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	48	0	48
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	48	3	51

Merged error: 0b

Counts

51 → 3

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ z (- (- x y) (* z 0.5)))
0.2b	(/ 4.0 (/ z (- (- x y) (* z 0.5))))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

90×	`times-frac`
54×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
18×	`associate-/r*`
11×	`associate-/r/`
9×	`add-exp-log` `add-cbrt-cube`
6×	`div-inv` `associate-/l*`
5×	`flip3--` `flip--`
4×	`cbrt-undiv` `div-exp`
2×	`pow1` `frac-2neg` `clear-num` `add-log-exp`

Counts

2 → 107

Calls

2 calls:

7.0ms	(/ z (- (- x y) (* z 0.5)))
10.0ms	(/ 4.0 (/ z (- (- x y) (* z 0.5))))

series129.0ms

Counts

2 → 6

Calls

2 calls:

85.0ms	(/ z (- (- x y) (* z 0.5)))
44.0ms	(/ 4.0 (/ z (- (- x y) (* z 0.5))))

simplify53.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	444	1151
1	1996	1093
2	5001	1090

prune212.0ms

Filtered

113 candidates to 93 candidates (82.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	113	3	116

Merged error: 0b

Counts

116 → 3

regimes73.0ms

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	13	6
1	13	6

end0.0ms

sample519.0ms

Algorithm

intervals

Results

321.0ms

10055×

body

valid