Details

sample33.0ms

Algorithm

intervals

Results

11.0ms	59×	body	1280	valid
9.0ms	57×	body	640	valid
3.0ms	184×	body	80	valid
2.0ms	28×	body	320	valid
1.0ms	19×	body	160	valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	3
1	13	3
2	15	3
3	15	3

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 39.1b

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- (exp x) 1.0) x)
5.1b	(- (exp x) 1.0)

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 52

Calls

2 calls:

10.0ms	(/ (- (exp x) 1.0) x)
4.0ms	(- (exp x) 1.0)

series240.0ms

Counts

2 → 6

Calls

2 calls:

225.0ms	(/ (- (exp x) 1.0) x)
14.0ms	(- (exp x) 1.0)

simplify73.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 2 (17.0ms)

Iter	Nodes	Cost
0	222	329
1	625	311
2	2739	309
3	5001	309

prune113.0ms

Filtered

58 candidates to 43 candidates (74.1%)

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* 1/6 (pow x 2)) (+ (* 1/2 x) 1))
0.2b	(* 1/6 (pow x 2))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
8×	`associate-r`
7×	`add-exp-log` `add-log-exp`
5×	`add-cube-cbrt` `*-un-lft-identity`
4×	`unpow-prod-down` `add-cbrt-cube` `unswap-sqr`
3×	`associate-l` `prod-exp` `sum-log`
2×	`pow1` `unpow2` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `associate-+r+` `flip3-+` `pow-exp` `*-commutative` `cbrt-unprod` `flip-+`

Counts

2 → 40

Calls

2 calls:

8.0ms	(+ (* 1/6 (pow x 2)) (+ (* 1/2 x) 1))
5.0ms	(* 1/6 (pow x 2))

series48.0ms

Counts

2 → 6

Calls

2 calls:

20.0ms	(+ (* 1/6 (pow x 2)) (+ (* 1/2 x) 1))
29.0ms	(* 1/6 (pow x 2))

simplify34.0ms

Algorithm

egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	201	222
1	825	201
2	5001	198

prune83.0ms

Filtered

46 candidates to 29 candidates (63.0%)

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (+ 1/2 (* x 1/6)))
0.3b	(* x 1/6)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 40

Calls

2 calls:

7.0ms	(* x (+ 1/2 (* x 1/6)))
3.0ms	(* x 1/6)

series74.0ms

Counts

2 → 6

Calls

2 calls:

60.0ms	(* x (+ 1/2 (* x 1/6)))
13.0ms	(* x 1/6)

simplify111.0ms

Algorithm

egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	178	158
1	781	143
2	4248	143
3	5001	143

prune70.0ms

Filtered

46 candidates to 29 candidates (63.0%)

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (exp x) x)
3.9b	(- (/ (exp x) x) (/ 1.0 x))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
20×	`*-un-lft-identity`
19×	`times-frac`
12×	`add-cube-cbrt`
4×	`add-cbrt-cube` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
3×	`add-exp-log` `associate-/r` `div-inv` `associate-/l`
2×	`pow1`
1×	`cbrt-undiv` `sub-neg` `flip3--` `distribute-rgt-out--` `frac-2neg` `diff-log` `div-exp` `clear-num` `frac-sub` `flip--` `sub-div`

Counts

2 → 50

Calls

2 calls:

3.0ms	(/ (exp x) x)
21.0ms	(- (/ (exp x) x) (/ 1.0 x))

series71.0ms

Counts

2 → 6

Calls

2 calls:

26.0ms	(/ (exp x) x)
44.0ms	(- (/ (exp x) x) (/ 1.0 x))

simplify68.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 3 (59.0ms)

Iter	Nodes	Cost
0	215	317
1	591	300
2	2325	299
3	5001	297

prune100.0ms

Filtered

56 candidates to 46 candidates (82.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

regimes26.0ms

Accuracy

98.5% (0.3b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 21.3b

bsearch20.0ms

Steps

Iters	Range		Point
7	-0.00123344211380614	-3.4186969038389056e-05	-0.0002285697559519662

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	9
1	24	9

end0.0ms

sample840.0ms

Algorithm

intervals

Results

378.0ms	2270×	body	1280	valid
166.0ms	1652×	body	640	valid
98.0ms	5412×	body	80	valid
53.0ms	826×	body	320	valid
17.0ms	420×	body	160	valid