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

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: 14.4b

Counts

2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

14.1b

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

rewrite9.0ms

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:

8.0ms

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

series66.0ms

Counts

1 → 3

Calls

1 calls:

66.0ms

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

simplify34.0ms

Algorithm

egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 1 (8.0ms)

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

prune50.0ms

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: 0b

Counts

33 → 5

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- x y) y)
9.4b	(/ (* x 2.0) (/ (- x y) y))

rewrite17.0ms

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:

5.0ms	(/ (- x y) y)
8.0ms	(/ (* x 2.0) (/ (- x y) y))

series96.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(/ (- x y) y)
65.0ms	(/ (* x 2.0) (/ (- x y) y))

simplify56.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 1 (11.0ms)

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

prune142.0ms

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	1	0	1
Total	104	3	107

Merged error: 0b

Counts

107 → 3

localize6.0ms

Local error

Found 1 expressions with local error:

9.4b	(/ (* x 2.0) (- (/ x y) 1))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 37

Calls

1 calls:

9.0ms

(/ (* x 2.0) (- (/ x y) 1))

series61.0ms

Counts

1 → 3

Calls

1 calls:

61.0ms

(/ (* x 2.0) (- (/ x y) 1))

simplify84.0ms

Algorithm

egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	201	249
1	850	216
2	3940	216
3	5001	216

prune48.0ms

Filtered

40 candidates to 25 candidates (62.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	40	0	40
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	40	3	43

Merged error: 0b

Counts

43 → 3

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ x (- x y))
9.9b	(* (/ x (- x y)) (* y 2.0))

rewrite20.0ms

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:

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

series110.0ms

Counts

2 → 6

Calls

2 calls:

43.0ms	(/ x (- x y))
67.0ms	(* (/ x (- x y)) (* y 2.0))

simplify52.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 1 (10.0ms)

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

prune110.0ms

Filtered

84 candidates to 57 candidates (67.9%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	84	3	87

Merged error: 0b

Counts

87 → 3

regimes50.0ms

Accuracy

97.2% (0.2b remaining)

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

bsearch52.0ms

Steps

Iters	Range		Point
7	1.7714685482222058e-52	7.310950568808943e-51	5.427012008800593e-51
8	-1.1084991128726907e+17	-7221686071369.7705	-10183284698876.322

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	12
1	25	12

end0.0ms

sample349.0ms

Algorithm

intervals

Results

222.0ms

8000×

body

valid

Details

sample14.0ms

simplify16.0ms

prune2.0ms

localize5.0ms

rewrite9.0ms

series66.0ms

simplify34.0ms

prune50.0ms

localize5.0ms

rewrite17.0ms

series96.0ms

simplify56.0ms

prune142.0ms

localize6.0ms

rewrite11.0ms

series61.0ms

simplify84.0ms

prune48.0ms

localize5.0ms

rewrite20.0ms

series110.0ms

simplify52.0ms

prune110.0ms

regimes50.0ms

bsearch52.0ms

simplify2.0ms

end0.0ms

sample349.0ms

Profiling