Details

sample17.0ms

Algorithm

intervals

Results

4.0ms	50×	body	640	valid
3.0ms	133×	body	80	valid
3.0ms	51×	body	320	valid
1.0ms	22×	body	160	valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	5
1	15	5
2	15	5

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.9b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 1.0 (- x 1.0))
4.0b	(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

rewrite89.0ms

Algorithm

rewrite-expression-head

Rules

66×	`*-un-lft-identity`
43×	`times-frac`
40×	`add-sqr-sqrt`
25×	`distribute-lft-out--`
20×	`add-cube-cbrt`
8×	`difference-of-squares`
6×	`distribute-lft-out`
5×	`associate-/r*`
4×	`add-exp-log` `associate-/r/` `add-cbrt-cube` `add-log-exp`
3×	`flip--` `div-inv` `associate-/l*`
2×	`pow1` `flip3--`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `diff-log` `div-exp` `clear-num` `frac-sub` `flip-+`

Counts

2 → 69

Calls

2 calls:

12.0ms	(/ 1.0 (- x 1.0))
74.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

series180.0ms

Counts

2 → 6

Calls

2 calls:

24.0ms	(/ 1.0 (- x 1.0))
156.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

simplify35.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	314	506
1	1068	483
2	5001	480

prune130.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 2 expressions with local error:

0.1b	(/ 1.0 (- (* x x) (* 1.0 1.0)))
3.6b	(- (- x 1.0) (+ x 1.0))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

23×	`*-un-lft-identity`
14×	`add-log-exp`
13×	`add-sqr-sqrt`
12×	`times-frac`
11×	`add-cube-cbrt`
6×	`diff-log` `distribute-lft-out--`
5×	`difference-of-squares`
4×	`add-exp-log` `flip3--` `associate-/r*` `frac-sub` `add-cbrt-cube` `flip--`
3×	`associate-/l*`
2×	`pow1` `sub-neg` `flip3-+` `associate--l+` `sum-log` `associate-/r/` `flip-+` `distribute-lft-out`
1×	`cbrt-undiv` `associate--l-` `frac-2neg` `div-exp` `clear-num` `div-inv` `associate--r+`

Counts

2 → 61

Calls

2 calls:

13.0ms	(/ 1.0 (- (* x x) (* 1.0 1.0)))
47.0ms	(- (- x 1.0) (+ x 1.0))

series48.0ms

Counts

2 → 6

Calls

2 calls:

42.0ms	(/ 1.0 (- (* x x) (* 1.0 1.0)))
6.0ms	(- (- x 1.0) (+ x 1.0))

simplify51.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	388	479
1	1916	448
2	5001	446

prune129.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (- 1.0) (+ x 1.0))
0.1b	(/ 1.0 (- (* x x) (* 1.0 1.0)))
3.7b	(+ x (- (- 1.0) (+ x 1.0)))

rewrite96.0ms

Algorithm

rewrite-expression-head

Rules

38×	`*-un-lft-identity`
29×	`add-log-exp`
14×	`add-sqr-sqrt`
12×	`add-cube-cbrt` `times-frac`
9×	`sum-log` `distribute-lft-out`
8×	`diff-log` `distribute-lft-out--`
5×	`add-exp-log` `add-cbrt-cube` `difference-of-squares`
4×	`distribute-rgt-neg-in` `neg-log` `associate-/r*`
3×	`pow1` `associate-/l*`
2×	`sub-neg` `associate-+r+` `flip3--` `associate-/r/` `flip--`
1×	`cbrt-undiv` `+-commutative` `associate--l-` `neg-sub0` `associate-+r-` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip-+` `div-inv` `associate--r+`

Counts

3 → 78

Calls

3 calls:

23.0ms	(- (- 1.0) (+ x 1.0))
13.0ms	(/ 1.0 (- (* x x) (* 1.0 1.0)))
57.0ms	(+ x (- (- 1.0) (+ x 1.0)))

series74.0ms

Counts

3 → 9

Calls

3 calls:

24.0ms	(- (- 1.0) (+ x 1.0))
43.0ms	(/ 1.0 (- (* x x) (* 1.0 1.0)))
7.0ms	(+ x (- (- 1.0) (+ x 1.0)))

simplify41.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	362	513
1	1445	476
2	5001	470

prune146.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ (- 2.0) (pow x 6)) (* 2.0 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))))
0.1b	(/ 1 (pow x 4))
0.1b	(/ (- 2.0) (pow x 6))
0.2b	(/ 1 (pow x 2))

rewrite103.0ms

Algorithm

rewrite-expression-head

Rules

115×	`times-frac`
83×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
57×	`unpow-prod-down`
27×	`add-exp-log`
24×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
22×	`associate-/r*`
19×	`sqr-pow`
16×	`associate-/l*`
15×	`div-exp`
10×	`add-cbrt-cube`
8×	`neg-mul-1`
7×	`pow-to-exp` `pow-exp`
6×	`rec-exp` `1-exp` `add-log-exp`
4×	`pow1` `unpow2`
3×	`cbrt-undiv` `frac-2neg` `associate-*r/` `clear-num` `frac-sub` `div-inv`
2×	`neg-sub0` `pow-flip` `div-sub` `associate--r+` `inv-pow`
1×	`associate--l-` `distribute-rgt-in` `sub-neg` `flip3--` `distribute-lft-in` `flip3-+` `diff-log` `distribute-frac-neg` `frac-add` `flip--` `flip-+`

Counts

4 → 231

Calls

4 calls:

68.0ms	(- (/ (- 2.0) (pow x 6)) (* 2.0 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))))
8.0ms	(/ 1 (pow x 4))
10.0ms	(/ (- 2.0) (pow x 6))
8.0ms	(/ 1 (pow x 2))

series138.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(- (/ (- 2.0) (pow x 6)) (* 2.0 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))))
30.0ms	(/ 1 (pow x 4))
44.0ms	(/ (- 2.0) (pow x 6))
15.0ms	(/ 1 (pow x 2))

simplify105.0ms

Algorithm

egg-herbie

Counts

243 → 243

Iterations

Useful iterations: 2 (81.0ms)

Iter	Nodes	Cost
0	766	1559
1	3480	1334
2	5001	1283

prune426.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

regimes22.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 13.9b

bsearch72.0ms

Steps

Iters	Range		Point
10	26.826342714152005	1.350953981158519e+19	6197.824943452279
8	-4116.604674393256	-5.56536991933885	-4067.8475853636296

simplify10.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	19
1	44	19

end0.0ms

sample471.0ms

Algorithm

intervals

Results

154.0ms	1909×	body	640	valid
96.0ms	4193×	body	80	valid
75.0ms	1293×	body	320	valid
27.0ms	605×	body	160	valid