Details

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

sample19.0ms

Algorithm

intervals

Results

8.0ms	252×	body	80	valid
0.0ms	2×	body	640	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	160	valid
0.0ms	1×	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

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 1 expressions with local error:

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

rewrite8.0ms

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)))

series6.0ms

Counts

1 → 3

Calls

1 calls:

6.0ms

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

simplify48.0ms

Algorithm

egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5342	212

prune36.0ms

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	0	0	0
Picked	0	1	1
Done	0	0	0
Total	25	3	28

Merged error: 0.0b

Counts

28 → 3

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (+ d2 20.0) (+ d2 20.0))
4.3b	(* d1 (- (* 10.0 10.0) (* (+ d2 20.0) (+ d2 20.0))))
6.3b	(/ (* d1 (- (* 10.0 10.0) (* (+ d2 20.0) (+ d2 20.0)))) (- 10.0 (+ d2 20.0)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 94

Calls

3 calls:

8.0ms	(* (+ d2 20.0) (+ d2 20.0))
6.0ms	(* d1 (- (* 10.0 10.0) (* (+ d2 20.0) (+ d2 20.0))))
11.0ms	(/ (* d1 (- (* 10.0 10.0) (* (+ d2 20.0) (+ d2 20.0)))) (- 10.0 (+ d2 20.0)))

series33.0ms

Counts

3 → 9

Calls

3 calls:

4.0ms	(* (+ d2 20.0) (+ d2 20.0))
10.0ms	(* d1 (- (* 10.0 10.0) (* (+ d2 20.0) (+ d2 20.0))))
18.0ms	(/ (* d1 (- (* 10.0 10.0) (* (+ d2 20.0) (+ d2 20.0)))) (- 10.0 (+ d2 20.0)))

simplify48.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	4976	1182
1	4976	1182

prune136.0ms

Filtered

66 candidates to 103 candidates (-56.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	102	1	103
Fresh	1	0	1
Picked	0	1	1
Done	0	1	1
Total	103	3	106

Merged error: 0b

Counts

106 → 3

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b	(+ (sqrt 10.0) (sqrt (+ d2 20.0)))
0.7b	(pow (sqrt (+ d2 20.0)) 4)
2.1b	(/ (- (* 10.0 10.0) (pow (sqrt (+ d2 20.0)) 4)) (- (sqrt 10.0) (sqrt (+ d2 20.0))))
2.2b	(* (/ d1 (+ (sqrt 10.0) (sqrt (+ d2 20.0)))) (/ (- (* 10.0 10.0) (pow (sqrt (+ d2 20.0)) 4)) (- (sqrt 10.0) (sqrt (+ d2 20.0)))))

rewrite101.0ms

Algorithm

rewrite-expression-head

Rules

249×	`add-sqr-sqrt`
189×	`*-un-lft-identity`
162×	`times-frac`
161×	`sqrt-prod`
144×	`difference-of-squares`
76×	`associate-r`
54×	`add-cube-cbrt`
49×	`unpow-prod-down`
45×	`distribute-lft-out--`
32×	`distribute-lft-out`
24×	`associate-l`
22×	`sqr-pow`
19×	`add-exp-log`
18×	`add-cbrt-cube`
10×	`associate-/r*`
8×	`pow1`
7×	`associate-/l*`
6×	`associate-/r/` `add-log-exp`
5×	`cbrt-undiv` `div-exp`
4×	`prod-exp` `cbrt-unprod` `unswap-sqr`
3×	`pow-unpow` `flip3--` `pow-pow` `flip--` `div-inv`
2×	`flip3-+` `flip-+` `associate-/l/`
1×	`+-commutative` `frac-times` `pow-to-exp` `frac-2neg` `sqrt-pow1` `pow1/2` `div-sub` `associate-r/` `pow-prod-down` `associate-l/` `pow-exp` `clear-num` `sum-log` `*-commutative` `sqrt-pow2`

Counts

4 → 266

Calls

4 calls:

9.0ms	(+ (sqrt 10.0) (sqrt (+ d2 20.0)))
5.0ms	(pow (sqrt (+ d2 20.0)) 4)
17.0ms	(/ (- (* 10.0 10.0) (pow (sqrt (+ d2 20.0)) 4)) (- (sqrt 10.0) (sqrt (+ d2 20.0))))
54.0ms	(* (/ d1 (+ (sqrt 10.0) (sqrt (+ d2 20.0)))) (/ (- (* 10.0 10.0) (pow (sqrt (+ d2 20.0)) 4)) (- (sqrt 10.0) (sqrt (+ d2 20.0)))))

series73.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(+ (sqrt 10.0) (sqrt (+ d2 20.0)))
9.0ms	(pow (sqrt (+ d2 20.0)) 4)
21.0ms	(/ (- (* 10.0 10.0) (pow (sqrt (+ d2 20.0)) 4)) (- (sqrt 10.0) (sqrt (+ d2 20.0))))
37.0ms	(* (/ d1 (+ (sqrt 10.0) (sqrt (+ d2 20.0)))) (/ (- (* 10.0 10.0) (pow (sqrt (+ d2 20.0)) 4)) (- (sqrt 10.0) (sqrt (+ d2 20.0)))))

simplify86.0ms

Algorithm

egg-herbie

Counts

278 → 278

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4978	6937
1	4978	6937

prune632.0ms

Filtered

139 candidates to 278 candidates (-100.0%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	278	0	278
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	278	3	281

Merged error: 0b

Counts

281 → 3

regimes77.0ms

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

sample371.0ms

Algorithm

intervals

Results

229.0ms	7843×	body	80	valid
9.0ms	67×	body	1280	valid
5.0ms	51×	body	640	valid
5.0ms	76×	body	80	invalid
2.0ms	24×	body	320	valid
1.0ms	15×	body	160	valid

Details

analyze68.0ms

sample19.0ms

simplify3.0ms

prune6.0ms

localize5.0ms

rewrite8.0ms

series6.0ms

simplify48.0ms

prune36.0ms

localize10.0ms

rewrite28.0ms

series33.0ms

simplify48.0ms

prune136.0ms

localize16.0ms

rewrite101.0ms

series73.0ms

simplify86.0ms

prune632.0ms

regimes77.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample371.0ms

Profiling