Details

sample14.0ms

Algorithm

intervals

Results

7.0ms

256×

body

valid

simplify16.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	4
1	36	4
2	73	4
3	127	4
4	167	4
5	185	4
6	187	4
7	187	4

prune1.0ms

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: 12.6b

Counts

2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

12.3b

(/ (* (* x 2.0) y) (- x y))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 29

Calls

1 calls:

9.0ms

(/ (* (* x 2.0) y) (- x y))

series61.0ms

Counts

1 → 3

Calls

1 calls:

61.0ms

(/ (* (* x 2.0) y) (- x y))

simplify32.0ms

Algorithm

egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	211	184
1	1144	151
2	5002	151

prune52.0ms

Filtered

32 candidates to 21 candidates (65.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	27	5	32
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	27	6	33

Merged error: 0.0b

Counts

33 → 6

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ y (- x y))
8.6b	(* (* x 2.0) (/ y (- x y)))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 78

Calls

2 calls:

5.0ms	(/ y (- x y))
10.0ms	(* (* x 2.0) (/ y (- x y)))

series102.0ms

Counts

2 → 6

Calls

2 calls:

41.0ms	(/ y (- x y))
61.0ms	(* (* x 2.0) (/ y (- x y)))

simplify44.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	310	435
1	1657	385
2	5001	385

prune112.0ms

Filtered

84 candidates to 54 candidates (64.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	83	1	84
Fresh	0	4	4
Picked	1	0	1
Done	0	1	1
Total	84	6	90

Merged error: 0b

Counts

90 → 6

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- x y) y)
9.3b	(/ (* x 2.0) (/ (- x y) y))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 96

Calls

2 calls:

6.0ms	(/ (- x y) y)
9.0ms	(/ (* x 2.0) (/ (- x y) y))

series84.0ms

Counts

2 → 6

Calls

2 calls:

23.0ms	(/ (- x y) y)
61.0ms	(/ (* x 2.0) (/ (- x y) y))

simplify54.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	386	605
1	1911	547
2	5002	547

prune140.0ms

Filtered

102 candidates to 72 candidates (70.6%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	100	2	102
Fresh	4	0	4
Picked	1	0	1
Done	1	0	1
Total	106	2	108

Merged error: 0b

Counts

108 → 2

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ x (- x y))
7.8b	(* (/ x (- x y)) (* y 2.0))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 78

Calls

2 calls:

5.0ms	(/ x (- x y))
10.0ms	(* (/ x (- x y)) (* y 2.0))

series103.0ms

Counts

2 → 6

Calls

2 calls:

41.0ms	(/ x (- x y))
62.0ms	(* (/ x (- x y)) (* y 2.0))

simplify37.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	312	431
1	1237	380
2	5001	380

prune111.0ms

Filtered

84 candidates to 57 candidates (67.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	84	2	86

Merged error: 0b

Counts

86 → 2

regimes39.0ms

Accuracy

96.9% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 7.4b

bsearch62.0ms

Steps

Iters	Range		Point
9	4.7793179251514585e-53	1.6402802837512253e-44	4.380982648645519e-49
8	-3.382127658162194e+71	-3.4824277784777885e+67	-1.494941168576198e+68

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	8
1	26	8

end0.0ms

sample372.0ms

Algorithm

intervals

Results

240.0ms

8000×

body

valid

Details

sample14.0ms

simplify16.0ms

prune1.0ms

localize6.0ms

rewrite10.0ms

series61.0ms

simplify32.0ms

prune52.0ms

localize6.0ms

rewrite18.0ms

series102.0ms

simplify44.0ms

prune112.0ms

localize6.0ms

rewrite18.0ms

series84.0ms

simplify54.0ms

prune140.0ms

localize6.0ms

rewrite18.0ms

series103.0ms

simplify37.0ms

prune111.0ms

regimes39.0ms

bsearch62.0ms

simplify1.0ms

end0.0ms

sample372.0ms

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