Details

sample13.0ms

Algorithm

intervals

Results

6.0ms

256×

body

valid

simplify21.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

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: 17.7b

Counts

2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

17.3b

(/ (* (* 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))

series70.0ms

Counts

1 → 3

Calls

1 calls:

70.0ms

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

simplify39.0ms

Algorithm

egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 1 (9.0ms)

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

prune61.0ms

Filtered

32 candidates to 21 candidates (65.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	28	4	32
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	28	5	33

Merged error: 0.0b

Counts

33 → 5

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ y (- x y))
6.9b	(* (* x 2.0) (/ y (- x y)))

rewrite20.0ms

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:

6.0ms	(/ y (- x y))
11.0ms	(* (* x 2.0) (/ y (- x y)))

series114.0ms

Counts

2 → 6

Calls

2 calls:

45.0ms	(/ y (- x y))
68.0ms	(* (* x 2.0) (/ y (- x y)))

simplify59.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 1 (12.0ms)

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

prune129.0ms

Filtered

84 candidates to 54 candidates (64.3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	82	2	84
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	83	6	89

Merged error: 0.0b

Counts

89 → 6

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- x y) y)
7.0b	(/ (* x 2.0) (/ (- x y) y))

rewrite24.0ms

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))

series94.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(/ (- x y) y)
62.0ms	(/ (* x 2.0) (/ (- x y) y))

simplify60.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	386	605
1	1911	548
2	5001	547

prune162.0ms

Filtered

102 candidates to 71 candidates (69.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	100	2	102
Fresh	3	0	3
Picked	0	1	1
Done	2	0	2
Total	105	3	108

Merged error: 0b

Counts

108 → 3

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ x (- x y))
7.7b	(* (/ x (- x y)) (* y 2.0))

rewrite19.0ms

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))
11.0ms	(* (/ x (- x y)) (* y 2.0))

series110.0ms

Counts

2 → 6

Calls

2 calls:

44.0ms	(/ x (- x y))
66.0ms	(* (/ x (- x y)) (* y 2.0))

simplify50.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 1 (10.0ms)

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

prune124.0ms

Filtered

84 candidates to 57 candidates (67.9%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	84	3	87

Merged error: 0b

Counts

87 → 3

regimes49.0ms

Accuracy

97.8% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 7.3b

bsearch61.0ms

Steps

Iters	Range		Point
7	3.528764796770561e-71	1.1544410655918315e-69	8.617788044677148e-71
10	-2.587228857819641e-07	-2.2735744027913026e-19	-7.171587218302372e-18

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	8
1	22	8

end0.0ms

sample320.0ms

Algorithm

intervals

Results

190.0ms

8000×

body

valid