Details

sample15.0ms

Algorithm

intervals

Results

8.0ms

256×

body

valid

simplify9.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	5
1	22	5
2	26	5
3	29	5
4	30	5
5	30	5

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: 0.0b

Counts

2 → 1

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (* x y) 2.0)
6.9b	(/ y (+ 1.0 (/ (* x y) 2.0)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

21×	`*-un-lft-identity`
15×	`times-frac`
13×	`add-sqr-sqrt` `add-cube-cbrt`
9×	`add-exp-log` `add-cbrt-cube`
7×	`associate-/r*`
4×	`distribute-lft-out` `associate-/l*`
3×	`cbrt-undiv` `div-exp`
2×	`pow1` `expm1-log1p-u` `frac-2neg` `clear-num` `associate-/r/` `log1p-expm1-u` `div-inv` `add-log-exp`
1×	`flip3-+` `prod-exp` `cbrt-unprod` `flip-+`

Counts

2 → 58

Calls

2 calls:

7.0ms	(/ (* x y) 2.0)
10.0ms	(/ y (+ 1.0 (/ (* x y) 2.0)))

series105.0ms

Counts

2 → 6

Calls

2 calls:

19.0ms	(/ (* x y) 2.0)
85.0ms	(/ y (+ 1.0 (/ (* x y) 2.0)))

simplify37.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	306	377
1	1339	349
2	5001	342

prune101.0ms

Filtered

64 candidates to 47 candidates (73.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	62	2	64
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	62	3	65

Merged error: 0b

Counts

65 → 3

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (* x y) 2.0)
0.1b	(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
6.8b	(/ (+ 1.0 (/ (* x y) 2.0)) y)

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

111×	`times-frac`
95×	`*-un-lft-identity`
63×	`add-sqr-sqrt` `add-cube-cbrt`
22×	`associate-/r*`
21×	`add-exp-log`
16×	`distribute-lft-out`
15×	`add-cbrt-cube`
10×	`div-exp`
8×	`associate-/l*`
7×	`div-inv`
6×	`cbrt-undiv`
4×	`pow1`
3×	`expm1-log1p-u` `frac-2neg` `clear-num` `log1p-expm1-u` `add-log-exp`
2×	`rec-exp` `1-exp` `associate-/l/`
1×	`pow-flip` `flip3-+` `prod-exp` `associate-/r/` `cbrt-unprod` `flip-+` `inv-pow`

Counts

3 → 148

Calls

3 calls:

5.0ms	(/ (* x y) 2.0)
9.0ms	(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
7.0ms	(/ (+ 1.0 (/ (* x y) 2.0)) y)

series128.0ms

Counts

3 → 9

Calls

3 calls:

19.0ms	(/ (* x y) 2.0)
59.0ms	(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
49.0ms	(/ (+ 1.0 (/ (* x y) 2.0)) y)

simplify72.0ms

Algorithm

egg-herbie

Counts

157 → 157

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	545	1294
1	2678	1161
2	5001	1051

prune205.0ms

Filtered

157 candidates to 86 candidates (54.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	157	0	157
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	157	3	160

Merged error: 0b

Counts

160 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (/ 1 (sqrt (+ 1.0 (/ (* x y) 2.0)))) (/ y (sqrt (+ 1.0 (/ (* x y) 2.0)))))
0.1b	(/ 1 (sqrt (+ 1.0 (/ (* x y) 2.0))))
3.8b	(sqrt (+ 1.0 (/ (* x y) 2.0)))
3.8b	(sqrt (+ 1.0 (/ (* x y) 2.0)))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

102×	`add-sqr-sqrt`
85×	`times-frac`
80×	`*-un-lft-identity`
59×	`sqrt-prod`
50×	`add-cube-cbrt`
30×	`add-exp-log`
27×	`associate-r` `associate-l`
18×	`add-cbrt-cube`
15×	`unswap-sqr`
12×	`distribute-lft-out`
10×	`pow1` `sqrt-div` `div-exp`
8×	`prod-exp`
7×	`associate-/r*`
6×	`associate-/r/`
5×	`cbrt-undiv` `flip3-+` `flip-+`
4×	`expm1-log1p-u` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
3×	`rec-exp` `pow-flip` `sqrt-pow1` `pow1/2` `1-exp` `div-inv` `associate-/l*`
2×	`rem-sqrt-square` `hypot-def`
1×	`frac-times` `frac-2neg` `associate-r/` `pow-prod-down` `associate-l/` `clear-num` `*-commutative` `inv-pow`

Counts

4 → 186

Calls

4 calls:

26.0ms	(* (/ 1 (sqrt (+ 1.0 (/ (* x y) 2.0)))) (/ y (sqrt (+ 1.0 (/ (* x y) 2.0)))))
9.0ms	(/ 1 (sqrt (+ 1.0 (/ (* x y) 2.0))))
5.0ms	(sqrt (+ 1.0 (/ (* x y) 2.0)))
5.0ms	(sqrt (+ 1.0 (/ (* x y) 2.0)))

series454.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(* (/ 1 (sqrt (+ 1.0 (/ (* x y) 2.0)))) (/ y (sqrt (+ 1.0 (/ (* x y) 2.0)))))
187.0ms	(/ 1 (sqrt (+ 1.0 (/ (* x y) 2.0))))
115.0ms	(sqrt (+ 1.0 (/ (* x y) 2.0)))
96.0ms	(sqrt (+ 1.0 (/ (* x y) 2.0)))

simplify88.0ms

Algorithm

egg-herbie

Counts

198 → 198

Iterations

Useful iterations: 2 (64.0ms)

Iter	Nodes	Cost
0	699	2277
1	3516	1990
2	5002	1819

prune294.0ms

Filtered

198 candidates to 113 candidates (57.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	198	0	198
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	198	3	201

Merged error: 0b

Counts

201 → 3

regimes47.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	6
1	15	6

end0.0ms

sample388.0ms

Algorithm

intervals

Results

257.0ms	7997×	body	80	valid
0.0ms	2×	body	2560	valid
0.0ms	1×	body	1280	valid

Details

sample15.0ms

simplify9.0ms

prune2.0ms

localize10.0ms

rewrite21.0ms

series105.0ms

simplify37.0ms

prune101.0ms

localize8.0ms

rewrite29.0ms

series128.0ms

simplify72.0ms

prune205.0ms

localize10.0ms

rewrite53.0ms

series454.0ms

simplify88.0ms

prune294.0ms

regimes47.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample388.0ms

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