Details

sample16.0ms

Algorithm

intervals

Results

7.0ms

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: 14.4b

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))

series62.0ms

Counts

1 → 3

Calls

1 calls:

62.0ms

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

simplify32.0ms

Algorithm

egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 1 (8.0ms)

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

prune49.0ms

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

rewrite17.0ms

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)))

series108.0ms

Counts

2 → 6

Calls

2 calls:

46.0ms	(/ y (- x y))
62.0ms	(* (* x 2.0) (/ y (- x y)))

simplify45.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 1 (10.0ms)

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

prune123.0ms

Filtered

84 candidates to 55 candidates (65.5%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	84	5	89

Merged error: 0b

Counts

89 → 5

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- x y) y)
8.1b	(/ (* 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)
8.0ms	(/ (* x 2.0) (/ (- x y) y))

series86.0ms

Counts

2 → 6

Calls

2 calls:

24.0ms	(/ (- x y) y)
62.0ms	(/ (* x 2.0) (/ (- x y) y))

simplify54.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 2 (42.0ms)

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

prune155.0ms

Filtered

102 candidates to 71 candidates (69.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	101	1	102
Fresh	2	0	2
Picked	0	1	1
Done	1	1	2
Total	104	3	107

Merged error: 0b

Counts

107 → 3

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (* x 2.0) (- x y))
8.4b	(* (/ (* x 2.0) (- x y)) y)

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 58

Calls

2 calls:

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

series110.0ms

Counts

2 → 6

Calls

2 calls:

48.0ms	(/ (* x 2.0) (- x y))
62.0ms	(* (/ (* x 2.0) (- x y)) y)

simplify35.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	261	314
1	1307	262
2	5002	262

prune89.0ms

Filtered

64 candidates to 43 candidates (67.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	64	0	64
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	64	3	67

Merged error: 0b

Counts

67 → 3

regimes45.0ms

Accuracy

96.7% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 6.9b

bsearch39.0ms

Steps

Iters	Range		Point
4	1.2424293569324924e-77	1.7367894335539448e-77	1.4719210203796444e-77
8	-1.2131416731721854e+50	-5.60211875314888e+46	-7.280886794270616e+46

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	8
1	21	8

end0.0ms

sample310.0ms

Algorithm

intervals

Results

182.0ms

8000×

body

valid