Details

analyze305.0ms

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
0%	99.9%	0.1%	5
6.2%	93.6%	0.1%	6
15.6%	84.3%	0.1%	7
29.6%	70.2%	0.1%	8
33.5%	63.2%	3.3%	9
43.3%	49.5%	7.2%	10
52.1%	39.2%	8.7%	11
54.5%	34.2%	11.3%	12
60.6%	25.6%	13.8%	13
65.2%	20.4%	14.4%	14

sample18.0ms

Algorithm

intervals

Results

7.0ms	256×	body	80	valid
1.0ms	23×	body	80	invalid

simplify14.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (13.0ms)

Iter	Nodes	Cost
0	345	9
1	345	9

prune4.0ms

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 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- x 1.0) z)
0.0b	(+ (* x y) (* (- x 1.0) z))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 33

Calls

2 calls:

6.0ms	(* (- x 1.0) z)
5.0ms	(+ (* x y) (* (- x 1.0) z))

series12.0ms

Counts

2 → 6

Calls

2 calls:

4.0ms	(* (- x 1.0) z)
8.0ms	(+ (* x y) (* (- x 1.0) z))

simplify48.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5186	345

prune48.0ms

Filtered

26 candidates to 39 candidates (-50.0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	37	2	39
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	37	3	40

Merged error: 0.0b

Counts

40 → 3

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x x) (+ (* 1.0 1.0) (* x 1.0)))
0.0b	(+ (* x y) (/ (* z (- (pow x 3) (pow 1.0 3))) (+ (* x x) (+ (* 1.0 1.0) (* x 1.0)))))
2.4b	(* z (- (pow x 3) (pow 1.0 3)))
12.8b	(/ (* z (- (pow x 3) (pow 1.0 3))) (+ (* x x) (+ (* 1.0 1.0) (* x 1.0))))

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-sqr-sqrt`
25×	`associate-r`
18×	`*-un-lft-identity`
16×	`difference-of-squares`
12×	`unpow-prod-down` `cube-prod`
11×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
8×	`add-cube-cbrt` `sqr-pow`
6×	`pow1`
5×	`distribute-lft-out--`
4×	`associate-*r/` `sum-log`
3×	`flip3-+` `times-frac` `associate-l` `associate-/r*` `flip-+`
2×	`cbrt-undiv` `+-commutative` `sub-neg` `flip3--` `div-exp` `prod-exp` `associate-/r/` `flip--` `cbrt-unprod` `associate-/l/`
1×	`difference-cubes` `distribute-rgt-in` `associate-+r+` `frac-2neg` `distribute-lft-in` `pow-prod-down` `clear-num` `-commutative` `div-inv` `associate-/l` `unswap-sqr`

Counts

4 → 93

Calls

4 calls:

7.0ms	(+ (* x x) (+ (* 1.0 1.0) (* x 1.0)))
13.0ms	(+ (* x y) (/ (* z (- (pow x 3) (pow 1.0 3))) (+ (* x x) (+ (* 1.0 1.0) (* x 1.0)))))
18.0ms	(* z (- (pow x 3) (pow 1.0 3)))
23.0ms	(/ (* z (- (pow x 3) (pow 1.0 3))) (+ (* x x) (+ (* 1.0 1.0) (* x 1.0))))

series71.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(+ (* x x) (+ (* 1.0 1.0) (* x 1.0)))
24.0ms	(+ (* x y) (/ (* z (- (pow x 3) (pow 1.0 3))) (+ (* x x) (+ (* 1.0 1.0) (* x 1.0)))))
16.0ms	(* z (- (pow x 3) (pow 1.0 3)))
28.0ms	(/ (* z (- (pow x 3) (pow 1.0 3))) (+ (* x x) (+ (* 1.0 1.0) (* x 1.0))))

simplify52.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4970	1574
1	4970	1574

prune187.0ms

Filtered

72 candidates to 105 candidates (-45.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	104	1	105
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	104	4	108

Merged error: 0.0b

Counts

108 → 4

localize27.0ms

Local error

Found 4 expressions with local error:

12.7b	(/ (- (pow x 3) (pow 1.0 3)) (+ (* x x) (* 1.0 (+ x 1.0))))
12.7b	(/ (- (pow x 3) (pow 1.0 3)) (+ (* x x) (* 1.0 (+ x 1.0))))
12.7b	(/ (- (pow x 3) (pow 1.0 3)) (+ (* x x) (* 1.0 (+ x 1.0))))
28.4b	(/ (- (* x (* y (* x y))) (* (* (/ (- (pow x 3) (pow 1.0 3)) (+ (* x x) (* 1.0 (+ x 1.0)))) z) (* (/ (- (pow x 3) (pow 1.0 3)) (+ (* x x) (* 1.0 (+ x 1.0)))) z))) (- (* x y) (* (/ (- (pow x 3) (pow 1.0 3)) (+ (* x x) (* 1.0 (+ x 1.0)))) z)))

rewrite101.0ms

Algorithm

rewrite-expression-head

Rules

390×	`add-sqr-sqrt`
234×	`times-frac`
222×	`*-un-lft-identity`
192×	`difference-of-squares`
144×	`unpow-prod-down` `cube-prod`
102×	`add-cube-cbrt`
96×	`sqr-pow`
78×	`associate-/l*`
60×	`distribute-lft-out--`
12×	`difference-cubes` `add-exp-log` `associate-/r*` `add-cbrt-cube`
8×	`associate-/r/` `associate-/l/`
5×	`flip3--` `flip--`
4×	`pow1` `cbrt-undiv` `frac-2neg` `div-sub` `div-exp` `clear-num` `div-inv` `add-log-exp`
3×	`flip3-+` `flip-+`

Counts

4 → 392

Calls

4 calls:

24.0ms	(/ (- (pow x 3) (pow 1.0 3)) (+ (* x x) (* 1.0 (+ x 1.0))))
21.0ms	(/ (- (pow x 3) (pow 1.0 3)) (+ (* x x) (* 1.0 (+ x 1.0))))
21.0ms	(/ (- (pow x 3) (pow 1.0 3)) (+ (* x x) (* 1.0 (+ x 1.0))))
13.0ms	(/ (- (* x (* y (* x y))) (* (* (/ (- (pow x 3) (pow 1.0 3)) (+ (* x x) (* 1.0 (+ x 1.0)))) z) (* (/ (- (pow x 3) (pow 1.0 3)) (+ (* x x) (* 1.0 (+ x 1.0)))) z))) (- (* x y) (* (/ (- (pow x 3) (pow 1.0 3)) (+ (* x x) (* 1.0 (+ x 1.0)))) z)))

series136.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(/ (- (pow x 3) (pow 1.0 3)) (+ (* x x) (* 1.0 (+ x 1.0))))
11.0ms	(/ (- (pow x 3) (pow 1.0 3)) (+ (* x x) (* 1.0 (+ x 1.0))))
11.0ms	(/ (- (pow x 3) (pow 1.0 3)) (+ (* x x) (* 1.0 (+ x 1.0))))
101.0ms	(/ (- (* x (* y (* x y))) (* (* (/ (- (pow x 3) (pow 1.0 3)) (+ (* x x) (* 1.0 (+ x 1.0)))) z) (* (/ (- (pow x 3) (pow 1.0 3)) (+ (* x x) (* 1.0 (+ x 1.0)))) z))) (- (* x y) (* (/ (- (pow x 3) (pow 1.0 3)) (+ (* x x) (* 1.0 (+ x 1.0)))) z)))

simplify108.0ms

Algorithm

egg-herbie

Counts

404 → 404

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5383	13264

prune1.9s

Filtered

241 candidates to 404 candidates (-67.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	403	1	404
Fresh	1	0	1
Picked	0	1	1
Done	1	1	2
Total	405	3	408

Merged error: 0b

Counts

408 → 3

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (+ y z))
0.0b	(- (* x (+ y z)) z)

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 36

Calls

2 calls:

6.0ms	(* x (+ y z))
7.0ms	(- (* x (+ y z)) z)

series16.0ms

Counts

2 → 6

Calls

2 calls:

9.0ms	(* x (+ y z))
7.0ms	(- (* x (+ y z)) z)

simplify57.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4828	320
1	4828	320

prune36.0ms

Filtered

28 candidates to 42 candidates (-50.0%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	42	0	42
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	42	3	45

Merged error: 0b

Counts

45 → 3

regimes192.0ms

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	21	9
1	21	9

end0.0ms

sample431.0ms

Algorithm

intervals

Results

224.0ms	8000×	body	80	valid
24.0ms	662×	body	80	invalid

Details

analyze305.0ms

sample18.0ms

simplify14.0ms

prune4.0ms

localize7.0ms

rewrite12.0ms

series12.0ms

simplify48.0ms

prune48.0ms

localize17.0ms

rewrite65.0ms

series71.0ms

simplify52.0ms

prune187.0ms

localize27.0ms

rewrite101.0ms

series136.0ms

simplify108.0ms

prune1.9s

localize7.0ms

rewrite14.0ms

series16.0ms

simplify57.0ms

prune36.0ms

regimes192.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample431.0ms

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