Details

sample23.0ms

Algorithm

intervals

Results

11.0ms

256×

body

valid

simplify19.0ms

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

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: 15.9b

Counts

2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

15.5b

(/ (* (* 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))

series60.0ms

Counts

1 → 3

Calls

1 calls:

60.0ms

(/ (* (* 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

prune50.0ms

Filtered

32 candidates to 21 candidates (65.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	26	6	32
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	26	7	33

Merged error: 0.0b

Counts

33 → 7

localize5.0ms

Local error

Found 1 expressions with local error:

8.0b	(* (* x 2.0) (/ y (- x y)))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

21×	`associate-r`
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×	`flip3--` `associate-r/` `associate-l` `-commutative` `flip--` `div-inv` `add-log-exp`

Counts

1 → 41

Calls

1 calls:

10.0ms

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

series60.0ms

Counts

1 → 3

Calls

1 calls:

59.0ms

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

simplify41.0ms

Algorithm

egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	280	248
1	1531	207
2	5001	207

prune51.0ms

Filtered

44 candidates to 23 candidates (52.3%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	42	2	44
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	43	8	51

Merged error: 0b

Counts

51 → 8

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- x y) y)
8.5b	(/ (* 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))

series82.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify49.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 2 (41.0ms)

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

prune140.0ms

Filtered

102 candidates to 71 candidates (69.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	101	1	102
Fresh	4	1	5
Picked	1	0	1
Done	1	1	2
Total	107	3	110

Merged error: 0b

Counts

110 → 3

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ x (- x y))
6.1b	(* (/ x (- x y)) (* y 2.0))

rewrite21.0ms

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))

series101.0ms

Counts

2 → 6

Calls

2 calls:

45.0ms	(/ x (- x y))
56.0ms	(* (/ x (- x y)) (* y 2.0))

simplify37.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 1 (9.0ms)

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

prune102.0ms

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

regimes43.0ms

Accuracy

98.8% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 7.1b

bsearch72.0ms

Steps

Iters	Range		Point
6	2.1198602512158674e-29	1.0277673646233507e-28	1.0095315950917973e-28
8	-4.5161340582992876e+39	-1.8040656674524704e+35	-5.2980857520812366e+35

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	8
1	23	8

end0.0ms

sample332.0ms

Algorithm

intervals

Results

209.0ms

8000×

body

valid