Details

sample38.0ms

Algorithm

intervals

Results

12.0ms	70×	body	1280	valid
9.0ms	87×	body	10240	exit
6.0ms	55×	body	640	valid
2.0ms	26×	body	320	valid
2.0ms	93×	body	80	valid
1.0ms	12×	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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 40.5b

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (exp x) (- (exp x) 1.0))
3.8b	(- (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)

series45.0ms

Counts

2 → 6

Calls

2 calls:

30.0ms	(/ (exp x) (- (exp x) 1.0))
15.0ms	(- (exp x) 1.0)

simplify68.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 2 (15.0ms)

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

prune116.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* 1/12 x) (/ 1 x))
0.4b	(* 1/12 x)

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 29

Calls

2 calls:

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

series58.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(+ (* 1/12 x) (/ 1 x))
17.0ms	(* 1/12 x)

simplify71.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 2 (18.0ms)

Iter	Nodes	Cost
0	130	119
1	448	110
2	2305	109
3	5001	109

prune56.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (exp x) (* (+ (sqrt (exp x)) (sqrt 1.0)) (- (sqrt (exp x)) (sqrt 1.0))))
0.0b	(sqrt (exp x))
0.0b	(sqrt (exp x))
3.8b	(- (sqrt (exp x)) (sqrt 1.0))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
14×	`*-un-lft-identity`
12×	`sqrt-prod`
10×	`add-cube-cbrt`
9×	`add-cbrt-cube`
8×	`sqrt-pow1` `associate-/r/`
7×	`add-exp-log`
6×	`pow1` `exp-prod` `add-log-exp`
4×	`frac-times` `flip3--` `flip--` `difference-of-squares`
3×	`flip3-+` `times-frac` `flip-+` `associate-/l*`
2×	`cbrt-undiv` `rem-sqrt-square` `pow1/2` `associate-r/` `div-exp` `associate-l/` `distribute-lft-out--`
1×	`sub-neg` `frac-2neg` `diff-log` `prod-exp` `clear-num` `associate-/r*` `cbrt-unprod` `div-inv`

Counts

4 → 79

Calls

4 calls:

16.0ms	(/ (exp x) (* (+ (sqrt (exp x)) (sqrt 1.0)) (- (sqrt (exp x)) (sqrt 1.0))))
1.0ms	(sqrt (exp x))
1.0ms	(sqrt (exp x))
10.0ms	(- (sqrt (exp x)) (sqrt 1.0))

series294.0ms

Counts

4 → 12

Calls

4 calls:

228.0ms	(/ (exp x) (* (+ (sqrt (exp x)) (sqrt 1.0)) (- (sqrt (exp x)) (sqrt 1.0))))
15.0ms	(sqrt (exp x))
12.0ms	(sqrt (exp x))
38.0ms	(- (sqrt (exp x)) (sqrt 1.0))

simplify39.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	312	788
1	1384	608
2	5001	598

prune217.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (- (/ 1 x)) x)
0.2b	(* 1/144 (* x x))
0.4b	(* 1/12 x)
30.6b	(/ (+ (/ (- (/ 1 x)) x) (* 1/144 (* x x))) (- (* 1/12 x) (/ 1 x)))

rewrite188.0ms

Algorithm

rewrite-expression-head

Rules

171×	`times-frac`
109×	`add-sqr-sqrt`
106×	`add-cube-cbrt` `*-un-lft-identity`
52×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
33×	`associate-/l*`
15×	`add-exp-log` `add-cbrt-cube`
11×	`pow1`
10×	`div-inv`
6×	`associate-l` `associate-/r*`
4×	`neg-mul-1` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`div-sub` `associate-/l/`
2×	`cbrt-undiv` `neg-sub0` `frac-2neg` `div-exp` `clear-num` `associate-/r/` `*-commutative` `unswap-sqr`
1×	`associate-+l-` `flip3--` `flip3-+` `distribute-frac-neg` `flip--` `flip-+` `distribute-neg-frac`

Counts

4 → 207

Calls

4 calls:

12.0ms	(/ (- (/ 1 x)) x)
6.0ms	(* 1/144 (* x x))
3.0ms	(* 1/12 x)
157.0ms	(/ (+ (/ (- (/ 1 x)) x) (* 1/144 (* x x))) (- (* 1/12 x) (/ 1 x)))

series212.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(/ (- (/ 1 x)) x)
26.0ms	(* 1/144 (* x x))
14.0ms	(* 1/12 x)
143.0ms	(/ (+ (/ (- (/ 1 x)) x) (* 1/144 (* x x))) (- (* 1/12 x) (/ 1 x)))

simplify76.0ms

Algorithm

egg-herbie

Counts

219 → 219

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	793	1686
1	3062	1440
2	5001	1417

prune369.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes53.0ms

Accuracy

98.2% (0.4b remaining)

Error of 0.8b against oracle of 0.4b and baseline of 21.8b

bsearch1.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	16
1	26	16

end0.0ms

sample1.1s

Algorithm

intervals

Results

369.0ms	2201×	body	1280	valid
262.0ms	2461×	body	10240	exit
170.0ms	1644×	body	640	valid
55.0ms	839×	body	320	valid
53.0ms	2910×	body	80	valid
17.0ms	407×	body	160	valid