Details

analyze679.0ms

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
4.0ms	94×	body	80	invalid

simplify49.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	1063	9
1	1063	9

prune14.0ms

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

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite10.0ms

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:

9.0ms

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

series11.0ms

Counts

1 → 3

Calls

1 calls:

11.0ms

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

simplify24.0ms

Algorithm

egg-herbie

Counts

28 → 28

Iterations

Useful iterations: 0 (20.0ms)

Iter	Nodes	Cost
0	5291	267

prune38.0ms

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

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite18.0ms

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:

3.0ms	(- (* d1 d2) (* d1 d3))
8.0ms	(- (+ (- (* d1 d2) (* d1 d3)) (* d4 d1)) (* d1 d1))
6.0ms	(+ (- (* d1 d2) (* d1 d3)) (* d4 d1))

series29.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(- (* d1 d2) (* d1 d3))
13.0ms	(- (+ (- (* d1 d2) (* d1 d3)) (* d4 d1)) (* d1 d1))
9.0ms	(+ (- (* d1 d2) (* d1 d3)) (* d4 d1))

simplify36.0ms

Algorithm

egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 0 (31.0ms)

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	50	1	51
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	51	4	55

Merged error: 0b

Counts

55 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (cbrt (pow (* d1 (+ d2 (- d4 d3))) 3)) (* d1 d1))
0.0b	(* d1 (+ d2 (- d4 d3)))
0.3b	(pow (* d1 (+ d2 (- d4 d3))) 3)
33.1b	(cbrt (pow (* d1 (+ d2 (- d4 d3))) 3))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

13×	`*-un-lft-identity`
12×	`add-sqr-sqrt`
10×	`cbrt-prod`
9×	`pow1` `add-exp-log` `add-cbrt-cube`
8×	`add-cube-cbrt`
6×	`associate-*r/` `add-log-exp`
5×	`associate-r`
4×	`cube-div`
3×	`pow-unpow` `flip3-+` `associate-l` `flip-+` `difference-of-squares` `sqr-pow`
2×	`cube-mult` `unpow-prod-down` `cbrt-div` `pow-pow` `unpow3` `cube-prod` `pow-prod-down` `pow-exp` `prod-exp` `cbrt-unprod` `distribute-lft-out` `rem-cube-cbrt`
1×	`distribute-rgt-in` `pow-to-exp` `sub-neg` `flip3--` `distribute-lft-in` `pow1/3` `diff-log` `*-commutative` `flip--` `rem-cbrt-cube` `distribute-lft-out--` `unswap-sqr`

Counts

4 → 81

Calls

4 calls:

6.0ms	(- (cbrt (pow (* d1 (+ d2 (- d4 d3))) 3)) (* d1 d1))
8.0ms	(* d1 (+ d2 (- d4 d3)))
9.0ms	(pow (* d1 (+ d2 (- d4 d3))) 3)
2.0ms	(cbrt (pow (* d1 (+ d2 (- d4 d3))) 3))

series87.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(- (cbrt (pow (* d1 (+ d2 (- d4 d3))) 3)) (* d1 d1))
9.0ms	(* d1 (+ d2 (- d4 d3)))
46.0ms	(pow (* d1 (+ d2 (- d4 d3))) 3)
12.0ms	(cbrt (pow (* d1 (+ d2 (- d4 d3))) 3))

simplify27.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (19.0ms)

Iter	Nodes	Cost
0	5787	985

prune104.0ms

Filtered

68 candidates to 93 candidates (-36.8%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	93	0	93
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	93	4	97

Merged error: 0b

Counts

97 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- d4 (+ d1 d3)) (- (+ d1 d3) d4))
5.2b	(+ (* d2 d2) (* (- d4 (+ d1 d3)) (- (+ d1 d3) d4)))
9.8b	(* d1 (+ (* d2 d2) (* (- d4 (+ d1 d3)) (- (+ d1 d3) d4))))
22.5b	(/ (* d1 (+ (* d2 d2) (* (- d4 (+ d1 d3)) (- (+ d1 d3) d4)))) (- d2 (- d4 (+ d1 d3))))

rewrite41.0ms

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:

13.0ms	(* (- d4 (+ d1 d3)) (- (+ d1 d3) d4))
6.0ms	(+ (* d2 d2) (* (- d4 (+ d1 d3)) (- (+ d1 d3) d4)))
6.0ms	(* d1 (+ (* d2 d2) (* (- d4 (+ d1 d3)) (- (+ d1 d3) d4))))
12.0ms	(/ (* d1 (+ (* d2 d2) (* (- d4 (+ d1 d3)) (- (+ d1 d3) d4)))) (- d2 (- d4 (+ d1 d3))))

series166.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(* (- d4 (+ d1 d3)) (- (+ d1 d3) d4))
46.0ms	(+ (* d2 d2) (* (- d4 (+ d1 d3)) (- (+ d1 d3) d4)))
52.0ms	(* d1 (+ (* d2 d2) (* (- d4 (+ d1 d3)) (- (+ d1 d3) d4))))
54.0ms	(/ (* d1 (+ (* d2 d2) (* (- d4 (+ d1 d3)) (- (+ d1 d3) d4)))) (- d2 (- d4 (+ d1 d3))))

simplify52.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 0 (41.0ms)

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

regimes306.0ms

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

sample714.0ms

Algorithm

intervals

Results

357.0ms	8000×	body	80	valid
99.0ms	2215×	body	80	invalid

Details

analyze679.0ms

sample27.0ms

simplify49.0ms

prune14.0ms

localize6.0ms

rewrite10.0ms

series11.0ms

simplify24.0ms

prune38.0ms

localize10.0ms

rewrite18.0ms

series29.0ms

simplify36.0ms

prune60.0ms

localize11.0ms

rewrite27.0ms

series87.0ms

simplify27.0ms

prune104.0ms

localize12.0ms

rewrite41.0ms

series166.0ms

simplify52.0ms

prune108.0ms

regimes306.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample714.0ms

Profiling