Details

sample1.7s

Algorithm

intervals

sampling

Space saved by range analysis: 14.87898%

Space saved by search: 0.195169%

Guaranteed chance to sample good point: 0%

Results

9.0ms	245×	body	80	valid
1.0ms	38×	body	80	invalid
1.0ms	6×	body	640	valid
0.0ms	2×	body	1280	valid
0.0ms	3×	body	320	valid

simplify34.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	30	7
1	86	7
2	283	7
3	742	7
4	1197	7
5	1273	7
6	1273	7

prune4.0ms

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: 0.1b

Counts

2 → 1

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ y z) z)
0.0b	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))
0.0b	(+ (+ (+ y z) z) y)
0.0b	(* x (+ (+ (+ (+ y z) z) y) t))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

34×	`*-un-lft-identity`
20×	`add-log-exp`
19×	`distribute-lft-out`
10×	`sum-log`
8×	`add-sqr-sqrt`
7×	`associate-r`
6×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
4×	`associate-+l+` `flip3-+` `flip-+`
3×	`+-commutative` `associate-l`
2×	`distribute-rgt-in` `distribute-lft-in` `associate-*r/`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 71

Calls

4 calls:

6.0ms	(+ (+ y z) z)
14.0ms	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))
8.0ms	(+ (+ (+ y z) z) y)
14.0ms	(* x (+ (+ (+ (+ y z) z) y) t))

series37.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(+ (+ y z) z)
17.0ms	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))
5.0ms	(+ (+ (+ y z) z) y)
11.0ms	(* x (+ (+ (+ (+ y z) z) y) t))

simplify48.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	374	480
1	1624	434
2	5001	419

prune86.0ms

Filtered

58 candidates to 83 candidates (-43.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	81	2	83
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	81	3	84

Merged error: 0.0b

Counts

84 → 3

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt x) (cbrt x))
0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

5.0ms	(* (cbrt x) (cbrt x))
1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series94.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(* (cbrt x) (cbrt x))
22.0ms	(cbrt x)
22.0ms	(cbrt x)
22.0ms	(cbrt x)

simplify72.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (67.0ms)

Iter	Nodes	Cost
0	148	349
1	471	322
2	2276	265
3	5002	252

prune74.0ms

Filtered

56 candidates to 85 candidates (-51.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	85	3	88

Merged error: 0.0b

Counts

88 → 3

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(* x (+ (+ (+ (+ y z) z) y) t))
0.1b	(sqrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))
0.1b	(sqrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))
0.3b	(* (sqrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))) (sqrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))))

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-sqr-sqrt`
30×	`*-un-lft-identity`
24×	`sqrt-prod`
23×	`pow1`
16×	`add-cube-cbrt` `sqrt-div`
13×	`associate-r`
10×	`sqrt-pow1` `pow1/2` `distribute-lft-out`
9×	`flip3-+` `associate-l` `flip-+`
8×	`add-exp-log` `swap-sqr` `add-cbrt-cube`
5×	`pow-prod-up` `unswap-sqr`
4×	`frac-times` `associate-*r/` `pow-prod-down` `add-log-exp`
3×	`pow-sqr`
2×	`rem-sqrt-square` `associate-l/` `prod-exp` `-commutative` `cbrt-unprod`
1×	`pow2` `distribute-rgt-in` `distribute-lft-in` `pow-plus` `sqrt-unprod` `rem-square-sqrt`

Counts

4 → 113

Calls

4 calls:

14.0ms	(* x (+ (+ (+ (+ y z) z) y) t))
12.0ms	(sqrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))
12.0ms	(sqrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))
32.0ms	(* (sqrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))) (sqrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))))

series249.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(* x (+ (+ (+ (+ y z) z) y) t))
109.0ms	(sqrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))
113.0ms	(sqrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))
16.0ms	(* (sqrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))) (sqrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))))

simplify74.0ms

Algorithm

egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	426	1528
1	2048	1369
2	5003	1333

prune156.0ms

Filtered

75 candidates to 125 candidates (-66.7%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	124	1	125
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	124	4	128

Merged error: 0.0b

Counts

128 → 4

localize17.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (sqrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))) (cbrt (sqrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))))
0.3b	(cbrt (sqrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))))
0.3b	(cbrt (sqrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))))
0.3b	(cbrt (sqrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))))

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

58×	`cbrt-prod`
44×	`add-sqr-sqrt`
29×	`sqrt-prod`
22×	`add-cube-cbrt` `*-un-lft-identity`
18×	`cbrt-div` `sqrt-div`
11×	`pow1` `swap-sqr`
9×	`flip3-+` `pow1/3` `associate-r` `associate-l` `flip-+` `unswap-sqr`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 112

Calls

4 calls:

33.0ms	(* (cbrt (sqrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))) (cbrt (sqrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))))
16.0ms	(cbrt (sqrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))))
14.0ms	(cbrt (sqrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))))
14.0ms	(cbrt (sqrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))))

series278.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(* (cbrt (sqrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))) (cbrt (sqrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))))
67.0ms	(cbrt (sqrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))))
69.0ms	(cbrt (sqrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))))
72.0ms	(cbrt (sqrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))))

simplify57.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	402	2923
1	1329	2764
2	5002	2613

prune349.0ms

Filtered

82 candidates to 124 candidates (-51.2%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	123	1	124
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	123	5	128

Merged error: 0.0b

Counts

128 → 5

regimes338.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	7
1	19	7

end0.0ms

sample2.2s

Algorithm

intervals

sampling

Space saved by range analysis: 14.87898%

Space saved by search: 0.195169%

Guaranteed chance to sample good point: 0%

Results

307.0ms	7732×	body	80	valid
48.0ms	1276×	body	80	invalid
16.0ms	114×	body	640	valid
13.0ms	71×	body	1280	valid
6.0ms	56×	body	320	valid
2.0ms	27×	body	160	valid

Details

sample1.7s

simplify34.0ms

prune4.0ms

localize10.0ms

rewrite43.0ms

series37.0ms

simplify48.0ms

prune86.0ms

localize16.0ms

rewrite11.0ms

series94.0ms

simplify72.0ms

prune74.0ms

localize13.0ms

rewrite75.0ms

series249.0ms

simplify74.0ms

prune156.0ms

localize17.0ms

rewrite82.0ms

series278.0ms

simplify57.0ms

prune349.0ms

regimes338.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample2.2s

Profiling