Details

sample42.0ms

Algorithm

intervals

Results

17.0ms	77×	body	1280	valid
9.0ms	78×	body	10240	exit
5.0ms	47×	body	640	valid
2.0ms	99×	body	80	valid
2.0ms	25×	body	320	valid
0.0ms	8×	body	160	valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	4
1	8	4
2	8	4

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 39.6b

localize4.0ms

Local error

Found 2 expressions with local error:

0.5b	(/ (exp x) (- (exp x) 1.0))
2.7b	(- (exp x) 1.0)

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 51

Calls

2 calls:

8.0ms	(/ (exp x) (- (exp x) 1.0))
4.0ms	(- (exp x) 1.0)

series40.0ms

Counts

2 → 6

Calls

2 calls:

26.0ms	(/ (exp x) (- (exp x) 1.0))
14.0ms	(- (exp x) 1.0)

simplify70.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 2 (16.0ms)

Iter	Nodes	Cost
0	180	378
1	542	357
2	2210	354
3	5001	354

prune123.0ms

Filtered

57 candidates to 41 candidates (71.9%)

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ 1/2 (+ (* 1/12 x) (/ 1 x)))
0.0b	(+ (* 1/12 x) (/ 1 x))
0.3b	(* 1/12 x)

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 43

Calls

3 calls:

16.0ms	(+ 1/2 (+ (* 1/12 x) (/ 1 x)))
6.0ms	(+ (* 1/12 x) (/ 1 x))
3.0ms	(* 1/12 x)

series68.0ms

Counts

3 → 9

Calls

3 calls:

13.0ms	(+ 1/2 (+ (* 1/12 x) (/ 1 x)))
41.0ms	(+ (* 1/12 x) (/ 1 x))
13.0ms	(* 1/12 x)

simplify103.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 2 (23.0ms)

Iter	Nodes	Cost
0	200	216
1	705	205
2	3820	204
3	5002	204

prune82.0ms

Filtered

52 candidates to 34 candidates (65.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- 1 (/ 1.0 (exp x))))
0.0b	(/ 1.0 (exp x))
2.6b	(- 1 (/ 1.0 (exp x)))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 97

Calls

3 calls:

17.0ms	(/ 1 (- 1 (/ 1.0 (exp x))))
3.0ms	(/ 1.0 (exp x))
8.0ms	(- 1 (/ 1.0 (exp x)))

series97.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(/ 1 (- 1 (/ 1.0 (exp x))))
13.0ms	(/ 1.0 (exp x))
38.0ms	(- 1 (/ 1.0 (exp x)))

simplify41.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	310	724
1	1324	622
2	5001	621

prune154.0ms

Filtered

106 candidates to 61 candidates (57.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt (/ 1 (- 1 (/ 1.0 (exp x)))))
2.6b	(- 1 (/ 1.0 (exp x)))
2.6b	(- 1 (/ 1.0 (exp x)))
2.6b	(- 1 (/ 1.0 (exp x)))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

64×	`add-sqr-sqrt`
40×	`*-un-lft-identity`
36×	`times-frac`
30×	`cbrt-prod`
24×	`difference-of-squares`
16×	`add-cube-cbrt`
10×	`add-log-exp`
6×	`distribute-lft-out--`
4×	`pow1` `add-exp-log` `flip3--` `add-cbrt-cube` `flip--`
3×	`sub-neg` `diff-log`
2×	`associate-/r/`
1×	`cbrt-div` `pow1/3` `div-inv`

Counts

4 → 90

Calls

4 calls:

10.0ms	(cbrt (/ 1 (- 1 (/ 1.0 (exp x)))))
8.0ms	(- 1 (/ 1.0 (exp x)))
8.0ms	(- 1 (/ 1.0 (exp x)))
11.0ms	(- 1 (/ 1.0 (exp x)))

series267.0ms

Counts

4 → 12

Calls

4 calls:

161.0ms	(cbrt (/ 1 (- 1 (/ 1.0 (exp x)))))
33.0ms	(- 1 (/ 1.0 (exp x)))
38.0ms	(- 1 (/ 1.0 (exp x)))
34.0ms	(- 1 (/ 1.0 (exp x)))

simplify117.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 2 (23.0ms)

Iter	Nodes	Cost
0	295	917
1	998	789
2	3918	778
3	5001	778

prune192.0ms

Filtered

102 candidates to 56 candidates (54.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

regimes62.0ms

Accuracy

97.1% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 21.5b

bsearch1.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	20
1	33	20

end0.0ms

sample1.1s

Algorithm

intervals

Results

377.0ms	2261×	body	1280	valid
266.0ms	2564×	body	10240	exit
168.0ms	1606×	body	640	valid
55.0ms	837×	body	320	valid
53.0ms	2893×	body	80	valid
17.0ms	404×	body	160	valid