Details

analyze71.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
50%	50%	0.1%	6
56.2%	40.6%	3.2%	7
68.7%	25%	6.3%	8
71.8%	19.5%	8.7%	9
78%	12.5%	9.5%	10
79.6%	9.6%	10.8%	11
82.7%	6.2%	11%	12
83.5%	4.7%	11.8%	13
85.1%	3.1%	11.8%	14

sample14.0ms

Algorithm

intervals

Results

7.0ms	251×	body	80	valid
0.0ms	4×	body	640	valid
0.0ms	1×	body	320	valid
0.0ms	2×	body	80	invalid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	42	7
1	42	7

prune9.0ms

Filtered

1 candidates to 1 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 → 2

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 24

Calls

1 calls:

7.0ms

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

series5.0ms

Counts

1 → 3

Calls

1 calls:

5.0ms

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

simplify22.0ms

Algorithm

egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 0 (18.0ms)

Iter	Nodes	Cost
0	5028	212

prune32.0ms

Filtered

17 candidates to 27 candidates (-58.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	25	2	27
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	26	3	29

Merged error: 0.0b

Counts

29 → 3

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 57

Calls

2 calls:

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

series14.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify34.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5296	782

prune78.0ms

Filtered

36 candidates to 63 candidates (-75.0%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	62	1	63
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	62	4	66

Merged error: 0b

Counts

66 → 4

localize23.0ms

Local error

Found 4 expressions with local error:

2.5b	(* d1 (* (sqrt (+ 10.0 (+ d2 20.0))) (sqrt (+ (pow 10.0 3) (pow (+ d2 20.0) 3)))))
3.8b	(/ (* d1 (* (sqrt (+ 10.0 (+ d2 20.0))) (sqrt (+ (pow 10.0 3) (pow (+ d2 20.0) 3))))) (sqrt (+ (* 10.0 10.0) (- (* (+ d2 20.0) (+ d2 20.0)) (* 10.0 (+ d2 20.0))))))
4.3b	(sqrt (+ (pow 10.0 3) (pow (+ d2 20.0) 3)))
12.9b	(sqrt (+ (* 10.0 10.0) (- (* (+ d2 20.0) (+ d2 20.0)) (* 10.0 (+ d2 20.0)))))

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

33×	`*-un-lft-identity`
30×	`sqrt-div`
22×	`sqrt-prod`
20×	`associate-*r/`
18×	`add-exp-log` `add-cbrt-cube`
15×	`flip3-+` `flip-+`
13×	`add-sqr-sqrt` `distribute-lft-out`
11×	`pow1` `add-cube-cbrt`
8×	`frac-times` `unpow-prod-down` `cube-prod` `associate-/l/`
6×	`times-frac` `prod-exp` `associate-/r*` `cbrt-unprod`
4×	`associate-*l/` `add-log-exp`
3×	`cbrt-undiv` `div-exp` `associate-l` `pow-prod-down`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-/r/`
1×	`frac-2neg` `associate-r` `clear-num` `sum-cubes` `-commutative` `div-inv` `associate-/l`

Counts

4 → 105

Calls

4 calls:

21.0ms	(* d1 (* (sqrt (+ 10.0 (+ d2 20.0))) (sqrt (+ (pow 10.0 3) (pow (+ d2 20.0) 3)))))
36.0ms	(/ (* d1 (* (sqrt (+ 10.0 (+ d2 20.0))) (sqrt (+ (pow 10.0 3) (pow (+ d2 20.0) 3))))) (sqrt (+ (* 10.0 10.0) (- (* (+ d2 20.0) (+ d2 20.0)) (* 10.0 (+ d2 20.0))))))
12.0ms	(sqrt (+ (pow 10.0 3) (pow (+ d2 20.0) 3)))
8.0ms	(sqrt (+ (* 10.0 10.0) (- (* (+ d2 20.0) (+ d2 20.0)) (* 10.0 (+ d2 20.0)))))

series106.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(* d1 (* (sqrt (+ 10.0 (+ d2 20.0))) (sqrt (+ (pow 10.0 3) (pow (+ d2 20.0) 3)))))
66.0ms	(/ (* d1 (* (sqrt (+ 10.0 (+ d2 20.0))) (sqrt (+ (pow 10.0 3) (pow (+ d2 20.0) 3))))) (sqrt (+ (* 10.0 10.0) (- (* (+ d2 20.0) (+ d2 20.0)) (* 10.0 (+ d2 20.0))))))
6.0ms	(sqrt (+ (pow 10.0 3) (pow (+ d2 20.0) 3)))
4.0ms	(sqrt (+ (* 10.0 10.0) (- (* (+ d2 20.0) (+ d2 20.0)) (* 10.0 (+ d2 20.0)))))

simplify37.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 0 (21.0ms)

Iter	Nodes	Cost
0	5328	2738

prune331.0ms

Filtered

87 candidates to 117 candidates (-34.5%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	117	0	117
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	117	4	121

Merged error: 0b

Counts

121 → 4

localize7.0ms

Local error

Found 4 expressions with local error:

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

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 107

Calls

4 calls:

9.0ms	(* d1 (+ 10.0 (+ d2 20.0)))
6.0ms	(sqrt (* d1 (+ 10.0 (+ d2 20.0))))
5.0ms	(sqrt (* d1 (+ 10.0 (+ d2 20.0))))
15.0ms	(* (sqrt (* d1 (+ 10.0 (+ d2 20.0)))) (sqrt (* d1 (+ 10.0 (+ d2 20.0)))))

series39.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(* d1 (+ 10.0 (+ d2 20.0)))
8.0ms	(sqrt (* d1 (+ 10.0 (+ d2 20.0))))
8.0ms	(sqrt (* d1 (+ 10.0 (+ d2 20.0))))
18.0ms	(* (sqrt (* d1 (+ 10.0 (+ d2 20.0)))) (sqrt (* d1 (+ 10.0 (+ d2 20.0)))))

simplify54.0ms

Algorithm

egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4968	1153
1	4968	1153

prune131.0ms

Filtered

69 candidates to 119 candidates (-72.5%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	119	0	119
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	119	4	123

Merged error: 0b

Counts

123 → 4

regimes78.0ms

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	7
1	10	7

end0.0ms

analyze68.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
50%	50%	0.1%	6
56.2%	40.6%	3.2%	7
68.7%	25%	6.3%	8
71.8%	19.5%	8.7%	9
78%	12.5%	9.5%	10
79.6%	9.6%	10.8%	11
82.7%	6.2%	11%	12
83.5%	4.7%	11.8%	13
85.1%	3.1%	11.8%	14

sample364.0ms

Algorithm

intervals

Results

226.0ms	7864×	body	80	valid
7.0ms	57×	body	1280	valid
6.0ms	55×	body	640	valid
2.0ms	86×	body	80	invalid
1.0ms	17×	body	320	valid
0.0ms	7×	body	160	valid

Details

analyze71.0ms

sample14.0ms

simplify3.0ms

prune9.0ms

localize5.0ms

rewrite7.0ms

series5.0ms

simplify22.0ms

prune32.0ms

localize9.0ms

rewrite24.0ms

series14.0ms

simplify34.0ms

prune78.0ms

localize23.0ms

rewrite82.0ms

series106.0ms

simplify37.0ms

prune331.0ms

localize7.0ms

rewrite38.0ms

series39.0ms

simplify54.0ms

prune131.0ms

regimes78.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze68.0ms

sample364.0ms

Profiling