Details

sample11.0ms

Algorithm

intervals

Results

5.0ms

256×

body

valid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	3
1	6	3

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: 13.6b

Counts

2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

13.6b

(/ x (+ (* x x) 1.0))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `times-frac`
3×	`add-exp-log` `associate-/r` `add-cbrt-cube` `associate-/l`
2×	`associate-/r/`
1×	`pow1` `cbrt-undiv` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip-+` `div-inv` `add-log-exp`

Counts

1 → 29

Calls

1 calls:

5.0ms

(/ x (+ (* x x) 1.0))

series58.0ms

Counts

1 → 3

Calls

1 calls:

58.0ms

(/ x (+ (* x x) 1.0))

simplify54.0ms

Algorithm

egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 2 (15.0ms)

Iter	Nodes	Cost
0	165	210
1	555	195
2	1825	192
3	5001	192

prune56.0ms

Filtered

32 candidates to 26 candidates (81.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	30	2	32
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	31	2	33

Merged error: 0b

Counts

33 → 2

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ x (sqrt (+ (* x x) 1.0)))
0.0b	(/ 1 (sqrt (+ (* x x) 1.0)))
13.6b	(sqrt (+ (* x x) 1.0))
13.6b	(sqrt (+ (* x x) 1.0))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-sqr-sqrt`
36×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
30×	`sqrt-prod`
12×	`associate-/r*`
10×	`add-exp-log`
8×	`pow1` `sqrt-div` `add-cbrt-cube`
6×	`associate-/l*`
4×	`flip3-+` `associate-/r/` `flip-+` `add-log-exp`
3×	`pow-flip` `sqrt-pow1` `pow1/2` `div-exp`
2×	`cbrt-undiv` `rem-sqrt-square` `frac-2neg` `clear-num` `div-inv`
1×	`rec-exp` `1-exp` `inv-pow`

Counts

4 → 118

Calls

4 calls:

6.0ms	(/ x (sqrt (+ (* x x) 1.0)))
6.0ms	(/ 1 (sqrt (+ (* x x) 1.0)))
4.0ms	(sqrt (+ (* x x) 1.0))
4.0ms	(sqrt (+ (* x x) 1.0))

series284.0ms

Counts

4 → 12

Calls

4 calls:

120.0ms	(/ x (sqrt (+ (* x x) 1.0)))
76.0ms	(/ 1 (sqrt (+ (* x x) 1.0)))
41.0ms	(sqrt (+ (* x x) 1.0))
47.0ms	(sqrt (+ (* x x) 1.0))

simplify51.0ms

Algorithm

egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	388	973
1	1513	889
2	5001	850

prune189.0ms

Filtered

130 candidates to 84 candidates (64.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	130	0	130
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	130	2	132

Merged error: 0b

Counts

132 → 2

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* 1.0 (- (/ 1 (pow x 5)) (/ 1 (pow x 3)))) (/ 1 x))
0.4b	(/ 1 (pow x 3))
0.4b	(/ 1 (pow x 5))
19.9b	(- (/ 1 (pow x 5)) (/ 1 (pow x 3)))

rewrite115.0ms

Algorithm

rewrite-expression-head

Rules

196×	`add-sqr-sqrt`
173×	`times-frac`
112×	`*-un-lft-identity`
63×	`difference-of-squares`
56×	`unpow-prod-down`
47×	`add-cube-cbrt`
40×	`sqr-pow`
26×	`cube-prod`
22×	`add-exp-log`
19×	`associate-/r*`
12×	`div-exp`
8×	`add-cbrt-cube` `add-log-exp`
7×	`distribute-lft-out--`
6×	`pow-to-exp` `rec-exp` `1-exp` `pow-exp` `div-inv` `associate-/l*`
4×	`pow1` `cube-mult` `associate-+l+` `unpow3`
3×	`sub-neg` `associate-*r/` `frac-add`
2×	`cbrt-undiv` `distribute-rgt-in` `flip3--` `pow-flip` `frac-2neg` `distribute-lft-in` `clear-num` `frac-sub` `flip--` `inv-pow`
1×	`+-commutative` `flip3-+` `diff-log` `sum-log` `flip-+`

Counts

4 → 227

Calls

4 calls:

48.0ms	(+ (* 1.0 (- (/ 1 (pow x 5)) (/ 1 (pow x 3)))) (/ 1 x))
8.0ms	(/ 1 (pow x 3))
5.0ms	(/ 1 (pow x 5))
41.0ms	(- (/ 1 (pow x 5)) (/ 1 (pow x 3)))

series210.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(+ (* 1.0 (- (/ 1 (pow x 5)) (/ 1 (pow x 3)))) (/ 1 x))
35.0ms	(/ 1 (pow x 3))
41.0ms	(/ 1 (pow x 5))
92.0ms	(- (/ 1 (pow x 5)) (/ 1 (pow x 3)))

simplify92.0ms

Algorithm

egg-herbie

Counts

239 → 239

Iterations

Useful iterations: 2 (65.0ms)

Iter	Nodes	Cost
0	687	1905
1	2879	1620
2	5001	1619

prune244.0ms

Filtered

239 candidates to 92 candidates (38.5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	239	0	239
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	239	2	241

Merged error: 0b

Counts

241 → 2

regimes21.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 15.0b

bsearch54.0ms

Steps

Iters	Range		Point
9	7137.79058365099	1345801877840.7417	7247.716083744272
7	-1.269270905055957e+156	-6.523895171398485e+153	-1.324813134382297e+154

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	17
1	34	17

end0.0ms

sample257.0ms

Algorithm

intervals

Results

172.0ms

8000×

body

valid

Details

sample11.0ms

simplify4.0ms

prune1.0ms

localize4.0ms

rewrite6.0ms

series58.0ms

simplify54.0ms

prune56.0ms

localize7.0ms

rewrite24.0ms

series284.0ms

simplify51.0ms

prune189.0ms

localize15.0ms

rewrite115.0ms

series210.0ms

simplify92.0ms

prune244.0ms

regimes21.0ms

bsearch54.0ms

simplify1.0ms

end0.0ms

sample257.0ms

Profiling