Details

sample15.0ms

Algorithm

intervals

Results

4.0ms	63×	body	640	valid
3.0ms	146×	body	80	valid
2.0ms	30×	body	320	valid
1.0ms	17×	body	160	valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	4
1	12	4
2	12	4

prune5.0ms

Filtered

1 candidates to 0 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: 12.4b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 1.0 (+ x 1.0))
2.4b	(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

96×	`*-un-lft-identity`
90×	`frac-sub`
70×	`associate-/r*`
65×	`add-sqr-sqrt`
60×	`associate-/l*`
53×	`add-cube-cbrt`
28×	`times-frac`
20×	`frac-2neg` `clear-num`
16×	`distribute-lft-out`
8×	`distribute-lft-out--`
4×	`add-exp-log` `add-cbrt-cube` `add-log-exp` `difference-of-squares`
3×	`div-inv`
2×	`pow1` `associate-/r/`
1×	`cbrt-undiv` `sub-neg` `flip3--` `flip3-+` `diff-log` `div-exp` `flip--` `flip-+`

Counts

2 → 147

Calls

2 calls:

5.0ms	(/ 1.0 (+ x 1.0))
22.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

series89.0ms

Counts

2 → 6

Calls

2 calls:

26.0ms	(/ 1.0 (+ x 1.0))
63.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

simplify118.0ms

Algorithm

egg-herbie

Counts

153 → 153

Iterations

Useful iterations: 2 (97.0ms)

Iter	Nodes	Cost
0	947	1500
1	4569	1427
2	5001	1424

prune170.0ms

Filtered

153 candidates to 93 candidates (39.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	152	1	153
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	152	2	154

Merged error: 0.4b

Counts

154 → 2

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (+ x 1.0) (/ x 1.0))
0.4b	(/ (- (- (* (/ x 1.0) 1.0) x) 1.0) (* (+ x 1.0) (/ x 1.0)))

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

339×	`*-un-lft-identity`
258×	`times-frac`
214×	`add-sqr-sqrt`
125×	`distribute-lft-out--`
119×	`add-cube-cbrt`
117×	`associate-r`
61×	`associate-l`
42×	`associate-/r*`
36×	`frac-times`
31×	`associate-/r/`
27×	`associate-/l*`
25×	`difference-of-squares`
20×	`flip3-+` `flip-+`
18×	`associate-*r/` `unswap-sqr`
16×	`add-exp-log` `add-cbrt-cube`
10×	`div-inv`
9×	`clear-num` `*-commutative` `distribute-lft-out`
7×	`frac-2neg`
5×	`cbrt-undiv` `div-exp`
4×	`pow1` `associate-*l/` `prod-exp` `un-div-inv` `cbrt-unprod`
2×	`div-sub` `associate-/l/` `add-log-exp`
1×	`associate--l-` `flip3--` `pow-prod-down` `flip--`

Counts

2 → 313

Calls

2 calls:

10.0ms	(* (+ x 1.0) (/ x 1.0))
36.0ms	(/ (- (- (* (/ x 1.0) 1.0) x) 1.0) (* (+ x 1.0) (/ x 1.0)))

series102.0ms

Counts

2 → 6

Calls

2 calls:

64.0ms	(* (+ x 1.0) (/ x 1.0))
38.0ms	(/ (- (- (* (/ x 1.0) 1.0) x) 1.0) (* (+ x 1.0) (/ x 1.0)))

simplify76.0ms

Algorithm

egg-herbie

Counts

319 → 319

Iterations

Useful iterations: 1 (31.0ms)

Iter	Nodes	Cost
0	1216	3945
1	5001	3829

prune625.0ms

Filtered

319 candidates to 187 candidates (41.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	316	3	319
Fresh	0	0	0
Picked	0	1	1
Done	1	0	1
Total	317	4	321

Merged error: 0b

Counts

321 → 4

localize8.0ms

Local error

Found 1 expressions with local error:

0.1b	(/ (/ (- (- (* (/ x 1.0) 1.0) x) 1.0) (/ x 1.0)) (+ x 1.0))

rewrite103.0ms

Algorithm

rewrite-expression-head

Rules

1195×	`times-frac`
1177×	`*-un-lft-identity`
571×	`add-sqr-sqrt`
439×	`add-cube-cbrt`
330×	`distribute-lft-out--`
126×	`associate-/l*`
105×	`distribute-lft-out`
66×	`associate-l` `difference-of-squares`
47×	`associate-/r/`
42×	`div-inv`
32×	`associate-/r*`
27×	`associate-/l/`
10×	`add-exp-log` `add-cbrt-cube`
7×	`frac-2neg` `clear-num`
6×	`cbrt-undiv` `div-exp`
4×	`div-sub`
1×	`pow1` `associate--l-` `flip3--` `flip3-+` `flip--` `flip-+` `add-log-exp`

Counts

1 → 569

Calls

1 calls:

47.0ms

(/ (/ (- (- (* (/ x 1.0) 1.0) x) 1.0) (/ x 1.0)) (+ x 1.0))

series45.0ms

Counts

1 → 3

Calls

1 calls:

44.0ms

(/ (/ (- (- (* (/ x 1.0) 1.0) x) 1.0) (/ x 1.0)) (+ x 1.0))

simplify130.0ms

Algorithm

egg-herbie

Counts

572 → 572

Iterations

Useful iterations: 1 (40.0ms)

Iter	Nodes	Cost
0	1752	9033
1	5001	8907

prune651.0ms

Filtered

572 candidates to 267 candidates (53.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	572	0	572
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	572	4	576

Merged error: 0b

Counts

576 → 4

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x x) (- (* 1.0 1.0) (* x 1.0)))
0.0b	(/ (- (- (* (/ x 1.0) 1.0) x) 1.0) (+ (pow x 3) (pow 1.0 3)))
4.1b	(* (/ (- (- (* (/ x 1.0) 1.0) x) 1.0) (+ (pow x 3) (pow 1.0 3))) (* (+ (* x x) (- (* 1.0 1.0) (* x 1.0))) (/ 1.0 x)))
13.9b	(* (+ (* x x) (- (* 1.0 1.0) (* x 1.0))) (/ 1.0 x))

rewrite325.0ms

Algorithm

rewrite-expression-head

Rules

1149×	`*-un-lft-identity`
1065×	`frac-times`
504×	`associate-/r*`
461×	`associate-/l*`
391×	`add-sqr-sqrt`
279×	`distribute-lft-out--`
258×	`add-cube-cbrt`
238×	`associate-*r/`
233×	`flip3-+` `flip-+`
188×	`pow-unpow` `sum-cubes`
185×	`associate-l`
151×	`times-frac`
125×	`clear-num`
124×	`distribute-lft-out`
102×	`frac-2neg`
94×	`unpow-prod-down`
67×	`associate-*l/`
66×	`associate-/l/`
59×	`associate-r`
51×	`difference-of-squares`
46×	`un-div-inv`
33×	`flip3--` `flip--`
32×	`add-exp-log` `add-cbrt-cube`
14×	`unswap-sqr`
12×	`prod-exp` `cbrt-unprod`
11×	`pow1`
9×	`add-log-exp`
7×	`cbrt-undiv` `div-exp`
4×	`pow-prod-down` `associate-/r/` `div-inv`
3×	`*-commutative`
2×	`associate-+r+` `div-sub` `sum-log`
1×	`+-commutative` `associate--l-` `associate-+r-` `sub-neg` `diff-log`

Counts

4 → 1027

Calls

4 calls:

32.0ms	(+ (* x x) (- (* 1.0 1.0) (* x 1.0)))
32.0ms	(/ (- (- (* (/ x 1.0) 1.0) x) 1.0) (+ (pow x 3) (pow 1.0 3)))
121.0ms	(* (/ (- (- (* (/ x 1.0) 1.0) x) 1.0) (+ (pow x 3) (pow 1.0 3))) (* (+ (* x x) (- (* 1.0 1.0) (* x 1.0))) (/ 1.0 x)))
42.0ms	(* (+ (* x x) (- (* 1.0 1.0) (* x 1.0))) (/ 1.0 x))

series242.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(+ (* x x) (- (* 1.0 1.0) (* x 1.0)))
68.0ms	(/ (- (- (* (/ x 1.0) 1.0) x) 1.0) (+ (pow x 3) (pow 1.0 3)))
94.0ms	(* (/ (- (- (* (/ x 1.0) 1.0) x) 1.0) (+ (pow x 3) (pow 1.0 3))) (* (+ (* x x) (- (* 1.0 1.0) (* x 1.0))) (/ 1.0 x)))
54.0ms	(* (+ (* x x) (- (* 1.0 1.0) (* x 1.0))) (/ 1.0 x))

simplify309.0ms

Algorithm

egg-herbie

Counts

1039 → 1039

Iterations

Useful iterations: 1 (72.0ms)

Iter	Nodes	Cost
0	4238	24427
1	5002	24192

prune2.0s

Filtered

1039 candidates to 480 candidates (53.8%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	1038	1	1039
Fresh	1	0	1
Picked	0	1	1
Done	0	2	2
Total	1039	4	1043

Merged error: 0b

Counts

1043 → 4

regimes20.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	8
1	11	8

end0.0ms

sample409.0ms

Algorithm

intervals

Results

145.0ms	1963×	body	640	valid
82.0ms	4199×	body	80	valid
70.0ms	1245×	body	320	valid
22.0ms	593×	body	160	valid