Details

sample19.0ms

Algorithm

intervals

Results

10.0ms

313×

body

valid

simplify64.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	3
1	22	3
2	42	3
3	61	3
4	86	3
5	97	3
6	388	3
7	2917	3
8	5001	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: 13.3b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (- y z))
12.6b	(/ (* x (- y z)) y)

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 49

Calls

2 calls:

6.0ms	(* x (- y z))
7.0ms	(/ (* x (- y z)) y)

series82.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(* x (- y z))
46.0ms	(/ (* x (- y z)) y)

simplify43.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	219	218
1	1044	189
2	5001	189

prune91.0ms

Filtered

55 candidates to 35 candidates (63.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	50	5	55
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	50	6	56

Merged error: 0.0b

Counts

56 → 6

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ y (- y z))
3.3b	(/ x (/ y (- y z)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

138×	`times-frac`
102×	`add-sqr-sqrt` `*-un-lft-identity`
70×	`add-cube-cbrt`
26×	`associate-/r*`
16×	`distribute-lft-out--` `difference-of-squares`
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 → 139

Calls

2 calls:

5.0ms	(/ y (- y z))
8.0ms	(/ x (/ y (- y z)))

series90.0ms

Counts

2 → 6

Calls

2 calls:

44.0ms	(/ y (- y z))
46.0ms	(/ x (/ y (- y z)))

simplify56.0ms

Algorithm

egg-herbie

Counts

145 → 145

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	472	1043
1	2220	1007
2	5001	1004

prune232.0ms

Filtered

145 candidates to 108 candidates (74.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	142	3	145
Fresh	3	1	4
Picked	1	0	1
Done	0	1	1
Total	146	5	151

Merged error: 0b

Counts

151 → 5

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ y (- y z))
0.3b	(/ 1 (/ (/ y (- y z)) x))
3.3b	(/ (/ y (- y z)) x)

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

771×	`times-frac`
439×	`add-sqr-sqrt` `*-un-lft-identity`
335×	`add-cube-cbrt`
75×	`associate-/r*`
52×	`distribute-lft-out--` `difference-of-squares`
35×	`associate-/r/`
31×	`add-exp-log`
27×	`associate-/l*`
23×	`div-inv`
19×	`div-exp` `add-cbrt-cube`
17×	`flip3--` `flip--`
10×	`cbrt-undiv`
4×	`pow1`
3×	`rec-exp` `frac-2neg` `1-exp` `clear-num` `add-log-exp`
1×	`pow-flip` `associate-/l/` `inv-pow`

Counts

3 → 435

Calls

3 calls:

5.0ms	(/ y (- y z))
17.0ms	(/ 1 (/ (/ y (- y z)) x))
9.0ms	(/ (/ y (- y z)) x)

series152.0ms

Counts

3 → 9

Calls

3 calls:

44.0ms	(/ y (- y z))
40.0ms	(/ 1 (/ (/ y (- y z)) x))
67.0ms	(/ (/ y (- y z)) x)

simplify73.0ms

Algorithm

egg-herbie

Counts

444 → 444

Iterations

Useful iterations: 1 (32.0ms)

Iter	Nodes	Cost
0	1404	4472
1	5001	3999

prune647.0ms

Filtered

444 candidates to 283 candidates (63.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	444	0	444
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	444	5	449

Merged error: 0b

Counts

449 → 5

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- y z) y)
3.9b	(* x (/ (- y z) y))

rewrite18.0ms

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:

5.0ms	(/ (- y z) y)
9.0ms	(* x (/ (- y z) y))

series80.0ms

Counts

2 → 6

Calls

2 calls:

30.0ms	(/ (- y z) y)
50.0ms	(* x (/ (- y z) y))

simplify44.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	264	396
1	1187	365
2	5001	364

prune115.0ms

Filtered

82 candidates to 56 candidates (68.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	81	1	82
Fresh	1	1	2
Picked	1	0	1
Done	0	2	2
Total	83	4	87

Merged error: 0b

Counts

87 → 4

regimes119.0ms

Accuracy

92.9% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 3.2b

bsearch1.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	27
1	35	27
2	38	27
3	38	27

end0.0ms

sample456.0ms

Algorithm

intervals

Results

255.0ms

9670×

body

valid