Details

sample21.0ms

Algorithm

intervals

Results

7.0ms

302×

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

prune4.0ms

Filtered

1 candidates to 0 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: 11.9b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (- y z))
11.4b	(/ (* 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))
6.0ms	(/ (* x (- y z)) y)

series16.0ms

Counts

2 → 6

Calls

2 calls:

7.0ms	(* x (- y z))
9.0ms	(/ (* x (- y z)) y)

simplify32.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 1 (6.0ms)

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

prune121.0ms

Filtered

55 candidates to 35 candidates (36.4%)

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))
2.1b	(/ x (/ y (- y z)))

rewrite21.0ms

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:

7.0ms	(/ y (- y z))
8.0ms	(/ x (/ y (- y z)))

series14.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify55.0ms

Algorithm

egg-herbie

Counts

145 → 145

Iterations

Useful iterations: 2 (44.0ms)

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

prune576.0ms

Filtered

145 candidates to 109 candidates (24.8%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	142	3	145
Fresh	3	1	4
Picked	0	1	1
Done	0	1	1
Total	145	6	151

Merged error: 0b

Counts

151 → 6

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ y (- y z))
0.2b	(/ 1 (/ (/ y (- y z)) x))
2.1b	(/ (/ y (- y z)) x)

rewrite62.0ms

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))
19.0ms	(/ 1 (/ (/ y (- y z)) x))
9.0ms	(/ (/ y (- y z)) x)

series29.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(/ y (- y z))
14.0ms	(/ 1 (/ (/ y (- y z)) x))
10.0ms	(/ (/ y (- y z)) x)

simplify74.0ms

Algorithm

egg-herbie

Counts

444 → 444

Iterations

Useful iterations: 1 (32.0ms)

Iter	Nodes	Cost
0	1404	4470
1	5001	3997

prune3.7s

Filtered

444 candidates to 281 candidates (36.7%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	444	0	444
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	444	6	450

Merged error: 0b

Counts

450 → 6

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(- x (/ (* x z) y))
5.5b	(/ (* x z) y)

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-exp-log` `add-cbrt-cube`
6×	`add-sqr-sqrt` `*-un-lft-identity`
4×	`add-cube-cbrt` `add-log-exp`
3×	`times-frac` `associate-/r*`
2×	`pow1` `cbrt-undiv` `div-exp`
1×	`sub-neg` `flip3--` `frac-2neg` `diff-log` `prod-exp` `clear-num` `flip--` `cbrt-unprod` `div-inv` `associate-/l*` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 35

Calls

2 calls:

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

series11.0ms

Counts

2 → 6

Calls

2 calls:

6.0ms	(- x (/ (* x z) y))
5.0ms	(/ (* x z) y)

simplify80.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	163	174
1	692	158
2	3437	158
3	5001	158

prune65.0ms

Filtered

41 candidates to 27 candidates (34.1%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	41	0	41
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	41	6	47

Merged error: 0b

Counts

47 → 6

regimes262.0ms

Accuracy

-25.3% (3.7b remaining)

Error of 3.7b against oracle of 0.0b and baseline of 3.0b

bsearch41.0ms

Steps

Iters	Range		Point
10	1.0172906460722768e-274	1.2503896071739853e-264	1.489384305712676e-272

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	6
1	13	6

end0.0ms

sample553.0ms

Algorithm

intervals

Results

241.0ms

9613×

body

valid

Details

sample21.0ms

simplify64.0ms

prune4.0ms

localize5.0ms

rewrite14.0ms

series16.0ms

simplify32.0ms

prune121.0ms

localize5.0ms

rewrite21.0ms

series14.0ms

simplify55.0ms

prune576.0ms

localize6.0ms

rewrite62.0ms

series29.0ms

simplify74.0ms

prune3.7s

localize5.0ms

rewrite9.0ms

series11.0ms

simplify80.0ms

prune65.0ms

regimes262.0ms

bsearch41.0ms

simplify1.0ms

end0.0ms

sample553.0ms

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