Details

sample212.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 11.920166%

Guaranteed chance to sample good point: 97.138105%

Results

7.0ms	247×	body	80	valid
0.0ms	3×	body	1280	valid
0.0ms	2×	body	320	valid
0.0ms	3×	body	160	valid
0.0ms	1×	body	640	valid

simplify8.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	18	4
1	34	3
2	52	3
3	60	3
4	60	3

prune6.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.0b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (+ 10.0 d2) 20.0)
0.0b	(* d1 (+ (+ 10.0 d2) 20.0))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 39

Calls

2 calls:

6.0ms	(+ (+ 10.0 d2) 20.0)
12.0ms	(* d1 (+ (+ 10.0 d2) 20.0))

series7.0ms

Counts

2 → 6

Calls

2 calls:

2.0ms	(+ (+ 10.0 d2) 20.0)
5.0ms	(* d1 (+ (+ 10.0 d2) 20.0))

simplify94.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 2 (24.0ms)

Iter	Nodes	Cost
0	177	179
1	791	157
2	4227	156
3	5003	156

prune57.0ms

Filtered

28 candidates to 45 candidates (-60.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	42	3	45
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	42	4	46

Merged error: 0b

Counts

46 → 4

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ (+ 10.0 d2) 20.0))
0.0b	(sqrt (+ (+ 10.0 d2) 20.0))
0.1b	(* d1 (sqrt (+ (+ 10.0 d2) 20.0)))
0.3b	(* (* d1 (sqrt (+ (+ 10.0 d2) 20.0))) (sqrt (+ (+ 10.0 d2) 20.0)))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

31×	`*-un-lft-identity`
21×	`sqrt-prod`
18×	`sqrt-div`
17×	`add-sqr-sqrt`
16×	`associate-r`
13×	`pow1`
12×	`distribute-lft-out`
11×	`add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
10×	`associate-*r/`
9×	`flip3-+` `flip-+`
4×	`frac-times` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-l/` `-commutative` `unswap-sqr`

Counts

4 → 91

Calls

4 calls:

5.0ms	(sqrt (+ (+ 10.0 d2) 20.0))
5.0ms	(sqrt (+ (+ 10.0 d2) 20.0))
9.0ms	(* d1 (sqrt (+ (+ 10.0 d2) 20.0)))
15.0ms	(* (* d1 (sqrt (+ (+ 10.0 d2) 20.0))) (sqrt (+ (+ 10.0 d2) 20.0)))

series24.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(sqrt (+ (+ 10.0 d2) 20.0))
4.0ms	(sqrt (+ (+ 10.0 d2) 20.0))
11.0ms	(* d1 (sqrt (+ (+ 10.0 d2) 20.0)))
5.0ms	(* (* d1 (sqrt (+ (+ 10.0 d2) 20.0))) (sqrt (+ (+ 10.0 d2) 20.0)))

simplify51.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	405	793
1	1804	715
2	5001	697

prune154.0ms

Filtered

67 candidates to 103 candidates (-53.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	103	0	103
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	103	4	107

Merged error: 0b

Counts

107 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* (+ 10.0 d2) (+ 10.0 d2)) (* 20.0 20.0))
0.0b	(* (+ 10.0 d2) (+ 10.0 d2))
4.7b	(* d1 (- (* (+ 10.0 d2) (+ 10.0 d2)) (* 20.0 20.0)))
6.2b	(/ (* d1 (- (* (+ 10.0 d2) (+ 10.0 d2)) (* 20.0 20.0))) (- (+ 10.0 d2) 20.0))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

36×	`*-un-lft-identity`
20×	`add-sqr-sqrt`
13×	`pow1` `add-exp-log` `add-cbrt-cube`
12×	`add-cube-cbrt`
8×	`distribute-rgt-in` `distribute-lft-in` `associate-r` `distribute-lft-out`
7×	`associate-l`
6×	`flip3-+` `times-frac` `associate-r/` `swap-sqr` `associate--l+` `associate-/r` `flip-+` `add-log-exp`
4×	`frac-times` `flip3--` `flip--` `distribute-lft-out--` `difference-of-squares`
3×	`sub-neg` `prod-exp` `cbrt-unprod`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-l/` `associate-/r/` `-commutative` `associate-/l/` `unswap-sqr`
1×	`pow2` `frac-2neg` `pow-plus` `diff-log` `clear-num` `pow-sqr` `pow-prod-up` `div-inv` `associate-/l*`

Counts

4 → 115

Calls

4 calls:

8.0ms	(- (* (+ 10.0 d2) (+ 10.0 d2)) (* 20.0 20.0))
8.0ms	(* (+ 10.0 d2) (+ 10.0 d2))
11.0ms	(* d1 (- (* (+ 10.0 d2) (+ 10.0 d2)) (* 20.0 20.0)))
16.0ms	(/ (* d1 (- (* (+ 10.0 d2) (+ 10.0 d2)) (* 20.0 20.0))) (- (+ 10.0 d2) 20.0))

series36.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(- (* (+ 10.0 d2) (+ 10.0 d2)) (* 20.0 20.0))
4.0ms	(* (+ 10.0 d2) (+ 10.0 d2))
10.0ms	(* d1 (- (* (+ 10.0 d2) (+ 10.0 d2)) (* 20.0 20.0)))
19.0ms	(/ (* d1 (- (* (+ 10.0 d2) (+ 10.0 d2)) (* 20.0 20.0))) (- (+ 10.0 d2) 20.0))

simplify86.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 2 (73.0ms)

Iter	Nodes	Cost
0	516	966
1	2579	841
2	5002	839

prune140.0ms

Filtered

76 candidates to 127 candidates (-67.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	127	0	127
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	127	4	131

Merged error: 0b

Counts

131 → 4

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ 10.0 d2) (+ 10.0 d2))
0.0b	(pow (+ 10.0 d2) 3)
1.9b	(* d1 (+ (pow (+ 10.0 d2) 3) (pow 20.0 3)))
13.3b	(/ (* d1 (+ (pow (+ 10.0 d2) 3) (pow 20.0 3))) (+ (* (+ 10.0 d2) (+ 10.0 d2)) (- (* 20.0 20.0) (* (+ 10.0 d2) 20.0))))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

55×	`*-un-lft-identity`
22×	`flip3-+` `flip-+`
21×	`distribute-lft-out`
19×	`add-sqr-sqrt`
18×	`associate-/r/`
17×	`associate-r`
16×	`frac-add`
15×	`add-cube-cbrt`
14×	`pow1` `add-exp-log` `add-cbrt-cube`
12×	`frac-times` `unpow-prod-down` `cube-prod`
10×	`associate-*r/`
8×	`flip3--` `flip--`
7×	`associate-l`
6×	`swap-sqr` `associate-*l/`
4×	`add-log-exp`
3×	`pow-unpow` `times-frac` `prod-exp` `associate-/r*` `cbrt-unprod`
2×	`cbrt-undiv` `cube-div` `distribute-rgt-in` `distribute-lft-in` `div-exp` `pow-prod-down` `*-commutative` `associate-/l/` `unswap-sqr`
1×	`pow2` `cube-mult` `pow-to-exp` `pow-pow` `frac-2neg` `pow-plus` `unpow3` `pow-exp` `clear-num` `pow-sqr` `sum-cubes` `pow-prod-up` `div-inv` `associate-/l*` `rem-cube-cbrt` `sqr-pow`

Counts

4 → 140

Calls

4 calls:

8.0ms	(* (+ 10.0 d2) (+ 10.0 d2))
4.0ms	(pow (+ 10.0 d2) 3)
17.0ms	(* d1 (+ (pow (+ 10.0 d2) 3) (pow 20.0 3)))
29.0ms	(/ (* d1 (+ (pow (+ 10.0 d2) 3) (pow 20.0 3))) (+ (* (+ 10.0 d2) (+ 10.0 d2)) (- (* 20.0 20.0) (* (+ 10.0 d2) 20.0))))

series63.0ms

Counts

4 → 12

Calls

4 calls:

2.0ms	(* (+ 10.0 d2) (+ 10.0 d2))
2.0ms	(pow (+ 10.0 d2) 3)
17.0ms	(* d1 (+ (pow (+ 10.0 d2) 3) (pow 20.0 3)))
42.0ms	(/ (* d1 (+ (pow (+ 10.0 d2) 3) (pow 20.0 3))) (+ (* (+ 10.0 d2) (+ 10.0 d2)) (- (* 20.0 20.0) (* (+ 10.0 d2) 20.0))))

simplify47.0ms

Algorithm

egg-herbie

Counts

152 → 152

Iterations

Useful iterations: 1 (29.0ms)

Iter	Nodes	Cost
0	905	1575
1	5001	1433

prune315.0ms

Filtered

91 candidates to 152 candidates (-67.0%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	152	0	152
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	152	4	156

Merged error: 0b

Counts

156 → 4

regimes81.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	3
1	10	3

end0.0ms

sample641.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 11.920166%

Guaranteed chance to sample good point: 97.138105%

Results

236.0ms	7854×	body	80	valid
7.0ms	57×	body	1280	valid
5.0ms	54×	body	640	valid
2.0ms	28×	body	320	valid
2.0ms	61×	body	80	invalid
0.0ms	7×	body	160	valid

Details

sample212.0ms

simplify8.0ms

prune6.0ms

localize5.0ms

rewrite19.0ms

series7.0ms

simplify94.0ms

prune57.0ms

localize7.0ms

rewrite36.0ms

series24.0ms

simplify51.0ms

prune154.0ms

localize9.0ms

rewrite47.0ms

series36.0ms

simplify86.0ms

prune140.0ms

localize16.0ms

rewrite64.0ms

series63.0ms

simplify47.0ms

prune315.0ms

regimes81.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample641.0ms

Profiling