Details

sample16.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 25.012207%

Guaranteed chance to sample good point: 99.99593%

Results

7.0ms

256×

body

valid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	4
1	8	4

prune6.0ms

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: 0.2b

Counts

2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(sqrt (+ x 1.0))
0.0b	(+ 1.0 (sqrt (+ x 1.0)))
0.2b	(/ x (+ 1.0 (sqrt (+ x 1.0))))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

25×	`*-un-lft-identity`
14×	`add-sqr-sqrt`
13×	`add-cube-cbrt`
12×	`times-frac`
6×	`distribute-lft-out`
5×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
4×	`pow1` `associate-/r*` `sqrt-prod`
3×	`flip3-+` `flip-+` `associate-/l*`
2×	`sqrt-div` `associate-/r/`
1×	`cbrt-undiv` `+-commutative` `rem-sqrt-square` `frac-2neg` `sqrt-pow1` `pow1/2` `div-exp` `clear-num` `sum-log` `div-inv`

Counts

3 → 61

Calls

3 calls:

4.0ms	(sqrt (+ x 1.0))
5.0ms	(+ 1.0 (sqrt (+ x 1.0)))
7.0ms	(/ x (+ 1.0 (sqrt (+ x 1.0))))

series24.0ms

Counts

3 → 9

Calls

3 calls:

3.0ms	(sqrt (+ x 1.0))
5.0ms	(+ 1.0 (sqrt (+ x 1.0)))
16.0ms	(/ x (+ 1.0 (sqrt (+ x 1.0))))

simplify46.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	460	585
1	1938	554
2	5002	551

prune123.0ms

Filtered

55 candidates to 70 candidates (-27.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	68	2	70
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	68	3	71

Merged error: 0b

Counts

71 → 3

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ x 1.0))
0.0b	(+ 1.0 (sqrt (+ x 1.0)))
0.1b	(/ (+ 1.0 (sqrt (+ x 1.0))) x)
0.2b	(/ 1 (/ (+ 1.0 (sqrt (+ x 1.0))) x))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

108×	`times-frac`
99×	`*-un-lft-identity`
64×	`add-sqr-sqrt`
63×	`add-cube-cbrt`
19×	`associate-/r*`
18×	`distribute-lft-out`
17×	`add-exp-log`
11×	`add-cbrt-cube`
8×	`div-exp`
7×	`associate-/l*`
6×	`pow1` `div-inv` `add-log-exp`
4×	`cbrt-undiv` `sqrt-prod`
3×	`flip3-+` `flip-+`
2×	`rec-exp` `frac-2neg` `sqrt-div` `1-exp` `clear-num` `associate-/l/`
1×	`+-commutative` `rem-sqrt-square` `pow-flip` `sqrt-pow1` `pow1/2` `sum-log` `associate-/r/` `inv-pow`

Counts

4 → 149

Calls

4 calls:

3.0ms	(sqrt (+ x 1.0))
5.0ms	(+ 1.0 (sqrt (+ x 1.0)))
8.0ms	(/ (+ 1.0 (sqrt (+ x 1.0))) x)
10.0ms	(/ 1 (/ (+ 1.0 (sqrt (+ x 1.0))) x))

series32.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(sqrt (+ x 1.0))
4.0ms	(+ 1.0 (sqrt (+ x 1.0)))
9.0ms	(/ (+ 1.0 (sqrt (+ x 1.0))) x)
16.0ms	(/ 1 (/ (+ 1.0 (sqrt (+ x 1.0))) x))

simplify85.0ms

Algorithm

egg-herbie

Counts

161 → 161

Iterations

Useful iterations: 2 (67.0ms)

Iter	Nodes	Cost
0	768	1530
1	3598	1400
2	5001	1316

prune188.0ms

Filtered

92 candidates to 161 candidates (-75.0%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	161	0	161
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	161	3	164

Merged error: 0b

Counts

164 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ x 1.0))
0.0b	(* (/ x (- (- (* 1.0 1.0) x) 1.0)) (- 1.0 (sqrt (+ x 1.0))))
5.4b	(- (- (* 1.0 1.0) x) 1.0)
5.5b	(- 1.0 (sqrt (+ x 1.0)))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

37×	`add-sqr-sqrt`
29×	`*-un-lft-identity`
21×	`associate-l`
16×	`times-frac`
15×	`add-cube-cbrt`
11×	`add-log-exp`
9×	`add-exp-log` `add-cbrt-cube`
8×	`difference-of-squares`
7×	`pow1`
6×	`associate-r` `sqrt-prod` `distribute-lft-out--`
5×	`sub-neg` `flip3--` `flip--`
4×	`diff-log`
2×	`distribute-rgt-in` `frac-times` `distribute-lft-in` `sqrt-div` `associate-*r/` `prod-exp` `associate--l+` `associate-/r/` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `associate--l-` `rem-sqrt-square` `sqrt-pow1` `flip3-+` `pow1/2` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `flip-+` `div-inv` `distribute-lft-out`

Counts

4 → 100

Calls

4 calls:

3.0ms	(sqrt (+ x 1.0))
18.0ms	(* (/ x (- (- (* 1.0 1.0) x) 1.0)) (- 1.0 (sqrt (+ x 1.0))))
7.0ms	(- (- (* 1.0 1.0) x) 1.0)
6.0ms	(- 1.0 (sqrt (+ x 1.0)))

series17.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(sqrt (+ x 1.0))
7.0ms	(* (/ x (- (- (* 1.0 1.0) x) 1.0)) (- 1.0 (sqrt (+ x 1.0))))
1.0ms	(- (- (* 1.0 1.0) x) 1.0)
5.0ms	(- 1.0 (sqrt (+ x 1.0)))

simplify57.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	503	940
1	2155	875
2	5001	866

prune169.0ms

Filtered

82 candidates to 112 candidates (-36.6%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	112	0	112
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	112	3	115

Merged error: 0b

Counts

115 → 3

regimes64.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	4
1	8	4

end0.0ms

sample351.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 25.012207%

Guaranteed chance to sample good point: 99.99593%

Results

219.0ms	7997×	body	80	valid
0.0ms	3×	body	1280	valid

Details

sample16.0ms

simplify3.0ms

prune6.0ms

localize6.0ms

rewrite18.0ms

series24.0ms

simplify46.0ms

prune123.0ms

localize7.0ms

rewrite31.0ms

series32.0ms

simplify85.0ms

prune188.0ms

localize10.0ms

rewrite38.0ms

series17.0ms

simplify57.0ms

prune169.0ms

regimes64.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample351.0ms

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