Details

sample18.0ms

Algorithm

intervals

Results

7.0ms

256×

body

valid

simplify14.0ms

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

prune3.0ms

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: 16.4b

Counts

2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

15.9b

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

rewrite14.0ms

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:

13.0ms

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

series61.0ms

Counts

1 → 3

Calls

1 calls:

61.0ms

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

simplify33.0ms

Algorithm

egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 1 (7.0ms)

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

prune92.0ms

Filtered

32 candidates to 21 candidates (65.6%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	27	5	32
Fresh	0	0	0
Picked	1	0	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))
8.1b	(* (* 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))
9.0ms	(* (* x 2.0) (/ y (- x y)))

series108.0ms

Counts

2 → 6

Calls

2 calls:

44.0ms	(/ y (- x y))
64.0ms	(* (* x 2.0) (/ y (- x y)))

simplify48.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 1 (11.0ms)

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

prune193.0ms

Filtered

84 candidates to 55 candidates (65.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	84	5	89

Merged error: 0.0b

Counts

89 → 5

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- x y) y)
9.0b	(/ (* 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))

series91.0ms

Counts

2 → 6

Calls

2 calls:

24.0ms	(/ (- x y) y)
66.0ms	(/ (* x 2.0) (/ (- x y) y))

simplify54.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 1 (12.0ms)

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

prune245.0ms

Filtered

102 candidates to 71 candidates (69.6%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	100	2	102
Fresh	3	0	3
Picked	1	0	1
Done	1	0	1
Total	105	2	107

Merged error: 0b

Counts

107 → 2

localize6.0ms

Local error

Found 2 expressions with local error:

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

8.0ms	(/ x (- x y))
10.0ms	(* (/ x (- x y)) (* y 2.0))

series110.0ms

Counts

2 → 6

Calls

2 calls:

47.0ms	(/ x (- x y))
62.0ms	(* (/ x (- x y)) (* y 2.0))

simplify42.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 1 (9.0ms)

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

prune194.0ms

Filtered

84 candidates to 57 candidates (67.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	84	2	86

Merged error: 0b

Counts

86 → 2

regimes84.0ms

Accuracy

96.5% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 6.9b

bsearch72.0ms

Steps

Iters	Range		Point
9	5.192535995584742e-58	1.5670265376369078e-51	2.225848508148988e-52
9	-7.021614727738459e+61	-3.4768290322168043e+53	-6.524014753828898e+53

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	8
1	26	8

end0.0ms

sample431.0ms

Algorithm

intervals

Results

217.0ms

8000×

body

valid

Details

sample18.0ms

simplify14.0ms

prune3.0ms

localize6.0ms

rewrite14.0ms

series61.0ms

simplify33.0ms

prune92.0ms

localize6.0ms

rewrite17.0ms

series108.0ms

simplify48.0ms

prune193.0ms

localize6.0ms

rewrite18.0ms

series91.0ms

simplify54.0ms

prune245.0ms

localize6.0ms

rewrite21.0ms

series110.0ms

simplify42.0ms

prune194.0ms

regimes84.0ms

bsearch72.0ms

simplify1.0ms

end0.0ms

sample431.0ms

Profiling