Details

sample22.0ms

Algorithm

intervals

Results

10.0ms

301×

body

valid

simplify86.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 7 (35.0ms)

Iter	Nodes	Cost
0	22	6
1	46	6
2	111	6
3	237	6
4	405	6
5	595	6
6	919	6
7	2627	5
8	5001	5

prune5.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.0b

Counts

2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ 0.25 (/ (- x z) y))
0.0b	(+ 1.0 (* 4.0 (+ 0.25 (/ (- x z) y))))
0.0b	(/ (- x z) y)

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 64

Calls

3 calls:

8.0ms	(+ 0.25 (/ (- x z) y))
3.0ms	(+ 1.0 (* 4.0 (+ 0.25 (/ (- x z) y))))
6.0ms	(/ (- x z) y)

series71.0ms

Counts

3 → 9

Calls

3 calls:

14.0ms	(+ 0.25 (/ (- x z) y))
30.0ms	(+ 1.0 (* 4.0 (+ 0.25 (/ (- x z) y))))
26.0ms	(/ (- x z) y)

simplify33.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	326	399
1	1055	367
2	5002	367

prune129.0ms

Filtered

73 candidates to 53 candidates (72.6%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	70	3	73
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	71	3	74

Merged error: 0b

Counts

74 → 3

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-sqr-sqrt`
36×	`*-un-lft-identity`
31×	`times-frac`
22×	`add-cube-cbrt`
19×	`associate-r`
9×	`add-exp-log` `add-cbrt-cube`
7×	`distribute-lft-out--` `difference-of-squares`
5×	`associate-/l*`
4×	`pow1`
3×	`associate-l` `associate-/r*`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `add-log-exp` `unswap-sqr`
1×	`flip3--` `frac-2neg` `div-sub` `associate-r/` `pow-prod-down` `clear-num` `-commutative` `flip--`

Counts

2 → 76

Calls

2 calls:

12.0ms	(* 4.0 (/ (- x z) y))
6.0ms	(/ (- x z) y)

series65.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(* 4.0 (/ (- x z) y))
26.0ms	(/ (- x z) y)

simplify39.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	275	397
1	1205	366
2	5002	366

prune139.0ms

Filtered

82 candidates to 56 candidates (68.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	80	2	82
Fresh	2	0	2
Picked	1	0	1
Done	0	0	0
Total	83	2	85

Merged error: 0b

Counts

85 → 2

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-sqr-sqrt`
24×	`*-un-lft-identity`
20×	`times-frac`
12×	`associate-r`
8×	`add-cube-cbrt` `distribute-lft-out--` `difference-of-squares`
4×	`pow1` `add-exp-log` `associate-*r/` `add-cbrt-cube` `div-inv` `add-log-exp`
3×	`sub-neg` `associate-l`
2×	`distribute-rgt-in` `flip3--` `distribute-rgt-out--` `distribute-lft-in` `frac-sub` `flip--` `sub-div`
1×	`diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 58

Calls

2 calls:

16.0ms	(* 4.0 (- (/ x y) (/ z y)))
12.0ms	(- (/ x y) (/ z y))

series61.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(* 4.0 (- (/ x y) (/ z y)))
21.0ms	(- (/ x y) (/ z y))

simplify80.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	235	352
1	912	325
2	3828	325
3	5001	325

prune103.0ms

Filtered

64 candidates to 45 candidates (70.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	64	0	64
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	64	2	66

Merged error: 0b

Counts

66 → 2

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

252×	`times-frac`
185×	`add-sqr-sqrt`
173×	`*-un-lft-identity`
121×	`add-cube-cbrt`
68×	`associate-r`
35×	`add-exp-log`
26×	`associate-/r*`
25×	`distribute-lft-out--` `difference-of-squares`
19×	`add-cbrt-cube`
18×	`associate-/r/`
15×	`div-exp`
10×	`div-inv`
8×	`flip3--` `flip--`
7×	`cbrt-undiv` `prod-exp`
6×	`pow1` `associate-/l*`
5×	`unswap-sqr`
4×	`rec-exp` `1-exp`
3×	`associate-l` `cbrt-unprod` `add-log-exp`
2×	`frac-2neg` `clear-num`
1×	`pow-flip` `associate-r/` `pow-prod-down` `un-div-inv` `-commutative` `inv-pow`

Counts

3 → 242

Calls

3 calls:

21.0ms	(* 4.0 (/ 1 (/ y (- x z))))
5.0ms	(/ y (- x z))
9.0ms	(/ 1 (/ y (- x z)))

series116.0ms

Counts

3 → 9

Calls

3 calls:

50.0ms	(* 4.0 (/ 1 (/ y (- x z))))
28.0ms	(/ y (- x z))
38.0ms	(/ 1 (/ y (- x z)))

simplify82.0ms

Algorithm

egg-herbie

Counts

251 → 251

Iterations

Useful iterations: 2 (62.0ms)

Iter	Nodes	Cost
0	708	1683
1	3652	1480
2	5001	1286

prune358.0ms

Filtered

251 candidates to 143 candidates (57.0%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	251	0	251
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	251	2	253

Merged error: 0b

Counts

253 → 2

regimes44.0ms

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	12	5
1	12	5

end0.0ms

sample595.0ms

Algorithm

intervals

Results

363.0ms

10055×

body

valid