Details

sample15.0ms

Algorithm

intervals

Results

6.0ms

256×

body

valid

simplify13.0ms

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

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: 16.8b

Counts

2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

16.4b

(/ (* (* 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` `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))

series7.0ms

Counts

1 → 3

Calls

1 calls:

7.0ms

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

simplify30.0ms

Algorithm

egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 1 (6.0ms)

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

prune44.0ms

Filtered

21 candidates to 32 candidates (-52.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	27	5	32
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	27	6	33

Merged error: 0.0b

Counts

33 → 6

localize6.0ms

Local error

Found 2 expressions with local error:

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

series15.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify42.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 1 (9.0ms)

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

prune69.0ms

Filtered

54 candidates to 84 candidates (-55.6%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	83	1	84
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	83	7	90

Merged error: 0b

Counts

90 → 7

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- x y) y)
6.8b	(/ (* 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))

series12.0ms

Counts

2 → 6

Calls

2 calls:

4.0ms	(/ (- x y) y)
8.0ms	(/ (* x 2.0) (/ (- x y) y))

simplify47.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 1 (9.0ms)

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

prune76.0ms

Filtered

71 candidates to 102 candidates (-43.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	101	1	102
Fresh	3	1	4
Picked	0	1	1
Done	2	0	2
Total	106	3	109

Merged error: 0b

Counts

109 → 3

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ x (- x y))
4.9b	(* (/ x (- x y)) (* y 2.0))

rewrite17.0ms

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

series13.0ms

Counts

2 → 6

Calls

2 calls:

5.0ms	(/ x (- x y))
7.0ms	(* (/ x (- x y)) (* y 2.0))

simplify37.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 1 (8.0ms)

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

prune59.0ms

Filtered

57 candidates to 84 candidates (-47.4%)

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

regimes86.0ms

Accuracy

98.9% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 7.3b

bsearch18.0ms

Steps

Iters	Range		Point
7	6.453986095118055e+18	4.5216192168028065e+20	2.2164367820567567e+20
5	-1.1493549481802984e+31	-4.946792646205334e+30	-5.665944582948532e+30

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	8
1	22	8

end0.0ms

sample409.0ms

Algorithm

intervals

Results

210.0ms

8000×

body

valid

Details

sample15.0ms

simplify13.0ms

prune2.0ms

localize5.0ms

rewrite9.0ms

series7.0ms

simplify30.0ms

prune44.0ms

localize6.0ms

rewrite17.0ms

series15.0ms

simplify42.0ms

prune69.0ms

localize5.0ms

rewrite17.0ms

series12.0ms

simplify47.0ms

prune76.0ms

localize6.0ms

rewrite17.0ms

series13.0ms

simplify37.0ms

prune59.0ms

regimes86.0ms

bsearch18.0ms

simplify1.0ms

end0.0ms

sample409.0ms

Profiling