Details

sample13.0ms

Algorithm

intervals

Results

4.0ms	256×	body	80	valid
3.0ms	256×	pre	80	true

simplify110.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	3
1	25	3
2	39	3
3	70	3
4	181	3
5	682	3
6	2463	3
7	5001	3

prune4.0ms

Filtered

1 candidates to 1 candidates (100.0%)

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

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x (* x x)) (* x x))
0.1b	(* x (* x x))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

16×	`pow1`
7×	`add-exp-log` `add-cbrt-cube`
5×	`pow-prod-up`
4×	`add-sqr-sqrt` `add-log-exp`
3×	`add-cube-cbrt` `-un-lft-identity` `associate-l*` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`+-commutative` `pow2` `distribute-lft1-in` `flip3-+` `pow-plus` `cube-unmult` `associate-r` `sum-log` `pow-sqr` `*-commutative` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

2 → 37

Calls

2 calls:

7.0ms	(+ (* x (* x x)) (* x x))
5.0ms	(* x (* x x))

series100.0ms

Counts

2 → 6

Calls

2 calls:

67.0ms	(+ (* x (* x x)) (* x x))
33.0ms	(* x (* x x))

simplify94.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 3 (90.0ms)

Iter	Nodes	Cost
0	158	147
1	646	107
2	2546	106
3	5001	102

prune47.0ms

Filtered

43 candidates to 25 candidates (58.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	41	2	43
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	42	3	45

Merged error: 0b

Counts

45 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (pow x 2) x)
0.0b	(- (pow x 6) (pow x 4))
0.0b	(* x (- (pow x 2) x))
42.5b	(/ (- (pow x 6) (pow x 4)) (* x (- (pow x 2) x)))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

58×	`add-sqr-sqrt`
35×	`difference-of-squares`
20×	`unpow-prod-down` `*-un-lft-identity` `sqr-pow`
13×	`times-frac` `associate-/l*`
11×	`add-exp-log` `add-cbrt-cube`
9×	`associate-r`
8×	`add-cube-cbrt` `add-log-exp`
6×	`pow1`
5×	`flip3--` `flip--` `distribute-lft-out--`
4×	`sub-neg` `associate-*r/` `unpow2`
3×	`associate-l`
2×	`cbrt-undiv` `distribute-rgt-in` `distribute-rgt-out--` `distribute-lft-in` `diff-log` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `associate-/l/`
1×	`frac-2neg` `div-sub` `pow-prod-down` `clear-num` `associate-/r` `-commutative` `div-inv` `unswap-sqr`

Counts

4 → 116

Calls

4 calls:

5.0ms	(- (pow x 2) x)
9.0ms	(- (pow x 6) (pow x 4))
8.0ms	(* x (- (pow x 2) x))
15.0ms	(/ (- (pow x 6) (pow x 4)) (* x (- (pow x 2) x)))

series438.0ms

Counts

4 → 12

Calls

4 calls:

71.0ms	(- (pow x 2) x)
110.0ms	(- (pow x 6) (pow x 4))
66.0ms	(* x (- (pow x 2) x))
190.0ms	(/ (- (pow x 6) (pow x 4)) (* x (- (pow x 2) x)))

simplify61.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	429	860
1	1893	752
2	5002	752

prune246.0ms

Filtered

128 candidates to 83 candidates (64.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	128	0	128
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	128	3	131

Merged error: 0b

Counts

131 → 3

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ (pow x 3) 1) (pow x 6))
0.0b	(* (pow x 4) (- (+ (pow x 2) 1) x))
0.0b	(- (+ (pow x 2) 1) x)
48.3b	(/ (* (+ (pow x 3) 1) (pow x 6)) (* (pow x 4) (- (+ (pow x 2) 1) x)))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 118

Calls

4 calls:

10.0ms	(* (+ (pow x 3) 1) (pow x 6))
12.0ms	(* (pow x 4) (- (+ (pow x 2) 1) x))
7.0ms	(- (+ (pow x 2) 1) x)
23.0ms	(/ (* (+ (pow x 3) 1) (pow x 6)) (* (pow x 4) (- (+ (pow x 2) 1) x)))

series330.0ms

Counts

4 → 12

Calls

4 calls:

144.0ms	(* (+ (pow x 3) 1) (pow x 6))
29.0ms	(* (pow x 4) (- (+ (pow x 2) 1) x))
15.0ms	(- (+ (pow x 2) 1) x)
143.0ms	(/ (* (+ (pow x 3) 1) (pow x 6)) (* (pow x 4) (- (+ (pow x 2) 1) x)))

simplify92.0ms

Algorithm

egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 2 (81.0ms)

Iter	Nodes	Cost
0	499	1059
1	2854	906
2	5001	896

prune241.0ms

Filtered

130 candidates to 74 candidates (56.9%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	130	0	130
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	130	3	133

Merged error: 0b

Counts

133 → 3

regimes26.0ms

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	6	4
1	6	4

end0.0ms

sample309.0ms

Algorithm

intervals

Results

127.0ms	8000×	body	80	valid
93.0ms	8000×	pre	80	true

Details

sample13.0ms

simplify110.0ms

prune4.0ms

localize4.0ms

rewrite13.0ms

series100.0ms

simplify94.0ms

prune47.0ms

localize9.0ms

rewrite42.0ms

series438.0ms

simplify61.0ms

prune246.0ms

localize13.0ms

rewrite57.0ms

series330.0ms

simplify92.0ms

prune241.0ms

regimes26.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample309.0ms

Profiling