Details

analyze719.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
6.2%	93.6%	0.2%	9
28.1%	68.6%	3.3%	10
29.6%	65.5%	4.9%	11
32%	61.7%	6.3%	12
35.5%	56.9%	7.6%	13
48%	38.7%	13.4%	14

sample27.0ms

Algorithm

intervals

Results

11.0ms	256×	body	80	valid
3.0ms	82×	body	80	invalid

simplify53.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	1063	9
1	1063	9

prune11.0ms

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

localize11.0ms

Local error

Found 1 expressions with local error:

0.0b	(* d1 (+ d2 (- d4 (+ d1 d3))))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 25

Calls

1 calls:

10.0ms

(* d1 (+ d2 (- d4 (+ d1 d3))))

series11.0ms

Counts

1 → 3

Calls

1 calls:

11.0ms

(* d1 (+ d2 (- d4 (+ d1 d3))))

simplify27.0ms

Algorithm

egg-herbie

Counts

28 → 28

Iterations

Useful iterations: 0 (23.0ms)

Iter	Nodes	Cost
0	5291	267

prune34.0ms

Filtered

18 candidates to 28 candidates (-55.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	26	2	28
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	26	4	30

Merged error: 0b

Counts

30 → 4

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (- (* d1 d2) (* d1 d3)) (* d4 d1))
0.0b	(- (* d1 d2) (* d1 d3))
0.0b	(- (+ (- (* d1 d2) (* d1 d3)) (* d4 d1)) (* d1 d1))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-log-exp`
6×	`diff-log`
4×	`add-sqr-sqrt` `sum-log`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `sub-neg` `*-un-lft-identity` `add-cbrt-cube`
2×	`associate-+l-` `flip3--` `flip--`
1×	`+-commutative` `associate--l-` `associate-+l+` `flip3-+` `associate--l+` `flip-+` `distribute-lft-out--` `difference-of-squares`

Counts

3 → 42

Calls

3 calls:

6.0ms	(+ (- (* d1 d2) (* d1 d3)) (* d4 d1))
4.0ms	(- (* d1 d2) (* d1 d3))
9.0ms	(- (+ (- (* d1 d2) (* d1 d3)) (* d4 d1)) (* d1 d1))

series30.0ms

Counts

3 → 9

Calls

3 calls:

10.0ms	(+ (- (* d1 d2) (* d1 d3)) (* d4 d1))
7.0ms	(- (* d1 d2) (* d1 d3))
13.0ms	(- (+ (- (* d1 d2) (* d1 d3)) (* d4 d1)) (* d1 d1))

simplify40.0ms

Algorithm

egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5175	514

prune60.0ms

Filtered

40 candidates to 51 candidates (-27.5%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	51	0	51
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	51	4	55

Merged error: 0b

Counts

55 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ d2 (- d4 (+ d1 d3))))
0.0b	(sqrt (+ d2 (- d4 (+ d1 d3))))
0.2b	(* d1 (sqrt (+ d2 (- d4 (+ d1 d3)))))
0.2b	(* (* d1 (sqrt (+ d2 (- d4 (+ d1 d3))))) (sqrt (+ d2 (- d4 (+ d1 d3)))))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

47×	`*-un-lft-identity`
25×	`sqrt-prod`
18×	`sqrt-div` `associate-r`
17×	`add-sqr-sqrt`
16×	`distribute-lft-out`
13×	`pow1`
11×	`add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
10×	`associate-*r/`
9×	`flip3-+` `flip-+`
8×	`distribute-lft-out--`
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 → 95

Calls

4 calls:

8.0ms	(sqrt (+ d2 (- d4 (+ d1 d3))))
7.0ms	(sqrt (+ d2 (- d4 (+ d1 d3))))
11.0ms	(* d1 (sqrt (+ d2 (- d4 (+ d1 d3)))))
22.0ms	(* (* d1 (sqrt (+ d2 (- d4 (+ d1 d3))))) (sqrt (+ d2 (- d4 (+ d1 d3)))))

series139.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(sqrt (+ d2 (- d4 (+ d1 d3))))
37.0ms	(sqrt (+ d2 (- d4 (+ d1 d3))))
53.0ms	(* d1 (sqrt (+ d2 (- d4 (+ d1 d3)))))
12.0ms	(* (* d1 (sqrt (+ d2 (- d4 (+ d1 d3))))) (sqrt (+ d2 (- d4 (+ d1 d3)))))

simplify42.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5136	1371

prune81.0ms

Filtered

68 candidates to 107 candidates (-57.4%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	107	0	107
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	107	4	111

Merged error: 0b

Counts

111 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- d4 (+ d1 d3)) (- (+ d1 d3) d4))
3.5b	(+ (* d2 d2) (* (- d4 (+ d1 d3)) (- (+ d1 d3) d4)))
10.9b	(* d1 (+ (* d2 d2) (* (- d4 (+ d1 d3)) (- (+ d1 d3) d4))))
25.7b	(/ (* d1 (+ (* d2 d2) (* (- d4 (+ d1 d3)) (- (+ d1 d3) d4)))) (- d2 (- d4 (+ d1 d3))))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

38×	`*-un-lft-identity`
22×	`add-sqr-sqrt`
14×	`distribute-lft-out--`
13×	`add-exp-log` `add-cbrt-cube`
10×	`add-cube-cbrt`
9×	`associate-r` `associate-l`
8×	`pow1`
7×	`flip3--` `times-frac` `associate-/r*` `flip--`
6×	`associate-*r/` `add-log-exp`
5×	`distribute-rgt-in` `distribute-lft-in`
4×	`frac-times` `sub-neg` `associate-+r+` `associate--l+` `distribute-lft-out` `difference-of-squares`
3×	`flip3-+` `prod-exp` `cbrt-unprod` `flip-+`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-l/` `associate-/r/` `-commutative` `associate-/l/` `unswap-sqr`
1×	`+-commutative` `frac-2neg` `clear-num` `sum-log` `div-inv` `associate-/l*`

Counts

4 → 106

Calls

4 calls:

16.0ms	(* (- d4 (+ d1 d3)) (- (+ d1 d3) d4))
7.0ms	(+ (* d2 d2) (* (- d4 (+ d1 d3)) (- (+ d1 d3) d4)))
6.0ms	(* d1 (+ (* d2 d2) (* (- d4 (+ d1 d3)) (- (+ d1 d3) d4))))
13.0ms	(/ (* d1 (+ (* d2 d2) (* (- d4 (+ d1 d3)) (- (+ d1 d3) d4)))) (- d2 (- d4 (+ d1 d3))))

series172.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(* (- d4 (+ d1 d3)) (- (+ d1 d3) d4))
48.0ms	(+ (* d2 d2) (* (- d4 (+ d1 d3)) (- (+ d1 d3) d4)))
55.0ms	(* d1 (+ (* d2 d2) (* (- d4 (+ d1 d3)) (- (+ d1 d3) d4))))
53.0ms	(/ (* d1 (+ (* d2 d2) (* (- d4 (+ d1 d3)) (- (+ d1 d3) d4)))) (- d2 (- d4 (+ d1 d3))))

simplify54.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5010	2259

prune108.0ms

Filtered

90 candidates to 118 candidates (-31.1%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	118	0	118
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	118	4	122

Merged error: 0b

Counts

122 → 4

regimes272.0ms

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 (1.0ms)

Iter	Nodes	Cost
0	37	9
1	37	9

end0.0ms

sample727.0ms

Algorithm

intervals

Results

362.0ms	8000×	body	80	valid
101.0ms	2298×	body	80	invalid

Details

analyze719.0ms

sample27.0ms

simplify53.0ms

prune11.0ms

localize11.0ms

rewrite11.0ms

series11.0ms

simplify27.0ms

prune34.0ms

localize12.0ms

rewrite20.0ms

series30.0ms

simplify40.0ms

prune60.0ms

localize10.0ms

rewrite51.0ms

series139.0ms

simplify42.0ms

prune81.0ms

localize12.0ms

rewrite45.0ms

series172.0ms

simplify54.0ms

prune108.0ms

regimes272.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample727.0ms

Profiling