Details

sample83.0ms

Algorithm

intervals

Results

42.0ms	135×	body	10240	exit
10.0ms	201×	body	80	valid
6.0ms	133×	body	80	overflowed
4.0ms	24×	body	320	valid
3.0ms	15×	body	640	valid
2.0ms	18×	body	160	valid

simplify45.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 3 (6.0ms)

Iter	Nodes	Cost
0	20	9
1	48	9
2	107	9
3	224	8
4	1514	8
5	5001	8

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 13.4b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ wj (+ wj 1))
0.0b	(/ (/ x (+ wj 1)) (exp wj))
0.0b	(/ x (+ wj 1))
5.4b	(- (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (/ wj (+ wj 1)))

rewrite387.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 176

Calls

4 calls:

5.0ms	(/ wj (+ wj 1))
14.0ms	(/ (/ x (+ wj 1)) (exp wj))
5.0ms	(/ x (+ wj 1))
355.0ms	(- (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (/ wj (+ wj 1)))

series137.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(/ wj (+ wj 1))
39.0ms	(/ (/ x (+ wj 1)) (exp wj))
25.0ms	(/ x (+ wj 1))
53.0ms	(- (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (/ wj (+ wj 1)))

simplify78.0ms

Algorithm

egg-herbie

Counts

188 → 188

Iterations

Useful iterations: 2 (60.0ms)

Iter	Nodes	Cost
0	721	1524
1	3303	1471
2	5001	1469

prune420.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (pow wj 2))
0.0b	(- (+ x (pow wj 2)) (* 2 (* wj x)))
0.0b	(* 2 (* wj x))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 44

Calls

3 calls:

5.0ms	(+ x (pow wj 2))
41.0ms	(- (+ x (pow wj 2)) (* 2 (* wj x)))
6.0ms	(* 2 (* wj x))

series78.0ms

Counts

3 → 9

Calls

3 calls:

28.0ms	(+ x (pow wj 2))
29.0ms	(- (+ x (pow wj 2)) (* 2 (* wj x)))
21.0ms	(* 2 (* wj x))

simplify125.0ms

Algorithm

egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 2 (25.0ms)

Iter	Nodes	Cost
0	202	247
1	793	231
2	4232	228
3	5001	228

prune94.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ wj (+ wj 1))
0.0b	(/ (/ x (+ wj 1)) (exp wj))
0.0b	(/ x (+ wj 1))
4.8b	(- wj (/ wj (+ wj 1)))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 171

Calls

4 calls:

5.0ms	(/ wj (+ wj 1))
12.0ms	(/ (/ x (+ wj 1)) (exp wj))
5.0ms	(/ x (+ wj 1))
14.0ms	(- wj (/ wj (+ wj 1)))

series109.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(/ wj (+ wj 1))
38.0ms	(/ (/ x (+ wj 1)) (exp wj))
25.0ms	(/ x (+ wj 1))
25.0ms	(- wj (/ wj (+ wj 1)))

simplify66.0ms

Algorithm

egg-herbie

Counts

183 → 183

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	634	1321
1	2844	1269
2	5001	1267

prune414.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (pow wj 4) (pow wj 2))
0.0b	(- (+ (pow wj 4) (pow wj 2)) (pow wj 3))
0.0b	(/ (/ x (+ wj 1)) (exp wj))
0.0b	(/ x (+ wj 1))

rewrite110.0ms

Algorithm

rewrite-expression-head

Rules

114×	`times-frac`
103×	`*-un-lft-identity`
71×	`add-sqr-sqrt`
64×	`add-cube-cbrt`
21×	`associate-/l*`
18×	`distribute-lft-out`
11×	`add-cbrt-cube` `add-log-exp`
10×	`associate-/r/`
9×	`add-exp-log`
7×	`associate-/r*`
6×	`flip3-+` `flip-+` `div-inv`
4×	`pow1` `cbrt-undiv` `div-exp` `difference-of-squares`
2×	`frac-2neg` `diff-log` `clear-num` `sum-log` `distribute-lft-out--`
1×	`+-commutative` `sub-neg` `unpow-prod-down` `flip3--` `cube-prod` `associate--l+` `flip--` `associate-/l/` `sqr-pow`

Counts

4 → 155

Calls

4 calls:

9.0ms	(+ (pow wj 4) (pow wj 2))
76.0ms	(- (+ (pow wj 4) (pow wj 2)) (pow wj 3))
12.0ms	(/ (/ x (+ wj 1)) (exp wj))
5.0ms	(/ x (+ wj 1))

series159.0ms

Counts

4 → 12

Calls

4 calls:

69.0ms	(+ (pow wj 4) (pow wj 2))
26.0ms	(- (+ (pow wj 4) (pow wj 2)) (pow wj 3))
39.0ms	(/ (/ x (+ wj 1)) (exp wj))
25.0ms	(/ x (+ wj 1))

simplify73.0ms

Algorithm

egg-herbie

Counts

167 → 167

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	637	1315
1	2874	1259
2	5001	1257

prune505.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

regimes54.0ms

Accuracy

76.8% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 1.0b

bsearch53.0ms

Steps

Iters	Range		Point
10	2.8000448109264612e-18	4.860543997610572e-08	4.811043021165421e-08

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	18
1	31	18

end0.0ms

sample2.3s

Algorithm

intervals

Results

1.2s	3830×	body	10240	exit
330.0ms	6296×	body	80	valid
180.0ms	3809×	body	80	overflowed
132.0ms	791×	body	320	valid
101.0ms	431×	body	640	valid
59.0ms	543×	body	160	valid