Details

sample12.0ms

Algorithm

intervals

Results

6.0ms

256×

body

valid

simplify17.0ms

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: 14.7b

Counts

2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

14.4b

(/ (* (* 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` `expm1-log1p-u` `flip3--` `frac-2neg` `clear-num` `flip--` `log1p-expm1-u` `div-inv` `associate-/l*` `add-log-exp`

Counts

1 → 31

Calls

1 calls:

8.0ms

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

series60.0ms

Counts

1 → 3

Calls

1 calls:

60.0ms

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

simplify34.0ms

Algorithm

egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	214	194
1	1150	161
2	5001	161

prune54.0ms

Filtered

34 candidates to 23 candidates (67.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	29	5	34
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	29	6	35

Merged error: 0.0b

Counts

35 → 6

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- x y) y)
6.4b	(/ (* x 2.0) (/ (- x y) y))

rewrite19.0ms

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` `expm1-log1p-u` `frac-2neg` `prod-exp` `clear-num` `cbrt-unprod` `log1p-expm1-u` `associate-/l/` `add-log-exp`
1×	`flip3--` `div-sub` `associate-/r/` `flip--`

Counts

2 → 100

Calls

2 calls:

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

series82.0ms

Counts

2 → 6

Calls

2 calls:

23.0ms	(/ (- x y) y)
59.0ms	(/ (* x 2.0) (/ (- x y) y))

simplify55.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	392	620
1	1920	563
2	5001	562

prune139.0ms

Filtered

106 candidates to 75 candidates (70.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	104	2	106
Fresh	4	0	4
Picked	0	1	1
Done	1	0	1
Total	109	3	112

Merged error: 0b

Counts

112 → 3

localize5.0ms

Local error

Found 1 expressions with local error:

6.3b	(* (/ x (- x y)) (* y 2.0))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

21×	`associate-l`
16×	`add-sqr-sqrt` `*-un-lft-identity`
15×	`times-frac`
13×	`add-exp-log` `add-cbrt-cube`
10×	`add-cube-cbrt`
6×	`pow1` `prod-exp` `cbrt-unprod`
3×	`pow-prod-down` `distribute-lft-out--` `difference-of-squares`
2×	`cbrt-undiv` `div-exp` `associate-/r/`
1×	`expm1-log1p-u` `flip3--` `associate-r` `associate-l/` `-commutative` `flip--` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 43

Calls

1 calls:

10.0ms

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

series59.0ms

Counts

1 → 3

Calls

1 calls:

59.0ms

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

simplify104.0ms

Algorithm

egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	250	257
1	930	211
2	4407	211
3	5002	211

prune55.0ms

Filtered

46 candidates to 30 candidates (65.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	46	0	46
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	46	3	49

Merged error: 0b

Counts

49 → 3

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- x y) y)
0.1b	(/ 1 (/ (/ (- x y) y) (* x 2.0)))
6.4b	(/ (/ (- x y) y) (* x 2.0))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

269×	`times-frac`
139×	`add-sqr-sqrt` `*-un-lft-identity`
95×	`add-cube-cbrt`
61×	`add-exp-log`
35×	`div-exp` `add-cbrt-cube`
27×	`associate-/r` `associate-/l`
22×	`distribute-lft-out--` `difference-of-squares`
18×	`cbrt-undiv`
13×	`div-inv`
8×	`prod-exp`
5×	`rec-exp` `1-exp`
4×	`pow1` `cbrt-unprod`
3×	`expm1-log1p-u` `frac-2neg` `div-sub` `clear-num` `log1p-expm1-u` `associate-/l/` `add-log-exp`
1×	`flip3--` `pow-flip` `associate-/r/` `flip--` `inv-pow`

Counts

3 → 231

Calls

3 calls:

6.0ms	(/ (- x y) y)
12.0ms	(/ 1 (/ (/ (- x y) y) (* x 2.0)))
9.0ms	(/ (/ (- x y) y) (* x 2.0))

series136.0ms

Counts

3 → 9

Calls

3 calls:

22.0ms	(/ (- x y) y)
58.0ms	(/ 1 (/ (/ (- x y) y) (* x 2.0)))
55.0ms	(/ (/ (- x y) y) (* x 2.0))

simplify101.0ms

Algorithm

egg-herbie

Counts

240 → 240

Iterations

Useful iterations: 2 (82.0ms)

Iter	Nodes	Cost
0	835	1908
1	4208	1667
2	5002	1545

prune249.0ms

Filtered

240 candidates to 129 candidates (53.8%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	240	0	240
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	240	3	243

Merged error: 0b

Counts

243 → 3

regimes45.0ms

Accuracy

93.9% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 7.1b

bsearch45.0ms

Steps

Iters	Range		Point
7	9.752688205721424e-58	1.5206375150029065e-55	1.4038028502730377e-55
7	-1.8960304733955153e-90	-4.9248861953553175e-92	-1.8756040657541892e-90

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	8
1	22	8

end0.0ms

sample307.0ms

Algorithm

intervals

Results

179.0ms

8000×

body

valid