Details

analyze108.0ms

Algorithm

sampling

Space saved by range analysis: 0.097632%

Space saved by search: 12.195185%

Guaranteed chance to sample good point: 98.222222%

sample17.0ms

Algorithm

intervals

Results

10.0ms	251×	body	80	valid
0.0ms	3×	body	640	valid
0.0ms	2×	body	1280	valid
0.0ms	1×	body	80	invalid

simplify7.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (2.0ms)

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))

rewrite13.0ms

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:

5.0ms	(+ (+ 10.0 d2) 20.0)
7.0ms	(* 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))

simplify88.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 2 (22.0ms)

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

prune52.0ms

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

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 87

Calls

4 calls:

5.0ms	(+ (+ 10.0 d2) 20.0)
7.0ms	(+ (+ 10.0 d2) 20.0)
8.0ms	(* d1 (sqrt (+ (+ 10.0 d2) 20.0)))
14.0ms	(* (* d1 (sqrt (+ (+ 10.0 d2) 20.0))) (sqrt (+ (+ 10.0 d2) 20.0)))

series17.0ms

Counts

4 → 12

Calls

4 calls:

2.0ms	(+ (+ 10.0 d2) 20.0)
2.0ms	(+ (+ 10.0 d2) 20.0)
8.0ms	(* d1 (sqrt (+ (+ 10.0 d2) 20.0)))
5.0ms	(* (* d1 (sqrt (+ (+ 10.0 d2) 20.0))) (sqrt (+ (+ 10.0 d2) 20.0)))

simplify46.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	371	659
1	1686	575
2	5001	563

prune126.0ms

Filtered

61 candidates to 99 candidates (-62.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	99	4	103

Merged error: 0b

Counts

103 → 4

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (+ 10.0 d2) 3)
0.0b	(* (+ 10.0 d2) (+ 10.0 d2))
2.4b	(* d1 (+ (pow (+ 10.0 d2) 3) (pow 20.0 3)))
15.4b	(/ (* 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))))

rewrite61.0ms

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:

4.0ms	(pow (+ 10.0 d2) 3)
7.0ms	(* (+ 10.0 d2) (+ 10.0 d2))
17.0ms	(* d1 (+ (pow (+ 10.0 d2) 3) (pow 20.0 3)))
27.0ms	(/ (* 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))))

series56.0ms

Counts

4 → 12

Calls

4 calls:

2.0ms	(pow (+ 10.0 d2) 3)
2.0ms	(* (+ 10.0 d2) (+ 10.0 d2))
16.0ms	(* d1 (+ (pow (+ 10.0 d2) 3) (pow 20.0 3)))
36.0ms	(/ (* 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))))

simplify42.0ms

Algorithm

egg-herbie

Counts

152 → 152

Iterations

Useful iterations: 1 (25.0ms)

Iter	Nodes	Cost
0	905	1575
1	5001	1433

prune288.0ms

Filtered

91 candidates to 152 candidates (-67.0%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	152	0	152
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	152	4	156

Merged error: 0b

Counts

156 → 4

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (+ 10.0 d2) 20.0)
0.1b	(* (sqrt d1) (+ (+ 10.0 d2) 20.0))
0.2b	(* (sqrt d1) (* (sqrt d1) (+ (+ 10.0 d2) 20.0)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 70

Calls

3 calls:

5.0ms	(+ (+ 10.0 d2) 20.0)
8.0ms	(* (sqrt d1) (+ (+ 10.0 d2) 20.0))
11.0ms	(* (sqrt d1) (* (sqrt d1) (+ (+ 10.0 d2) 20.0)))

series16.0ms

Counts

3 → 9

Calls

3 calls:

2.0ms	(+ (+ 10.0 d2) 20.0)
6.0ms	(* (sqrt d1) (+ (+ 10.0 d2) 20.0))
8.0ms	(* (sqrt d1) (* (sqrt d1) (+ (+ 10.0 d2) 20.0)))

simplify46.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	344	424
1	1630	368
2	5003	368

prune66.0ms

Filtered

51 candidates to 79 candidates (-54.9%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	79	0	79
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	79	4	83

Merged error: 0b

Counts

83 → 4

regimes76.0ms

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

analyze107.0ms

Algorithm

sampling

Space saved by range analysis: 0.097632%

Space saved by search: 12.195185%

Guaranteed chance to sample good point: 98.222222%

sample351.0ms

Algorithm

intervals

Results

219.0ms	7848×	body	80	valid
7.0ms	59×	body	1280	valid
5.0ms	53×	body	640	valid
2.0ms	28×	body	320	valid
1.0ms	49×	body	80	invalid
1.0ms	12×	body	160	valid

Details

analyze108.0ms

sample17.0ms

simplify7.0ms

prune6.0ms

localize5.0ms

rewrite13.0ms

series7.0ms

simplify88.0ms

prune52.0ms

localize7.0ms

rewrite38.0ms

series17.0ms

simplify46.0ms

prune126.0ms

localize17.0ms

rewrite61.0ms

series56.0ms

simplify42.0ms

prune288.0ms

localize7.0ms

rewrite26.0ms

series16.0ms

simplify46.0ms

prune66.0ms

regimes76.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze107.0ms

sample351.0ms

Profiling