Details

sample30.0ms

Algorithm

intervals

Results

12.0ms	69×	body	1280	valid
6.0ms	57×	body	640	valid
3.0ms	180×	body	80	valid
2.0ms	26×	body	320	valid
0.0ms	11×	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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 39.3b

localize7.0ms

Local error

Found 2 expressions with local error:

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

11.0ms	(/ (- (exp x) 1.0) x)
4.0ms	(- (exp x) 1.0)

series53.0ms

Counts

2 → 6

Calls

2 calls:

39.0ms	(/ (- (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

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)
0.1b	(* (pow x 2) (+ (* x 1/6) 1/2))
0.4b	(* x 1/6)
3.3b	(/ (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x) x)

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
17×	`add-cube-cbrt` `*-un-lft-identity`
13×	`add-exp-log`
11×	`associate-l`
10×	`add-cbrt-cube`
9×	`times-frac`
6×	`pow1` `associate-r` `add-log-exp`
5×	`unswap-sqr`
4×	`unpow-prod-down` `prod-exp`
3×	`flip3-+` `associate-/r` `flip-+` `associate-/l`
2×	`distribute-rgt-in` `associate-+l+` `distribute-lft-in` `associate-r/` `-commutative` `cbrt-unprod` `associate-/l/` `unpow2` `sqr-pow`
1×	`cbrt-undiv` `+-commutative` `pow-to-exp` `frac-2neg` `div-exp` `pow-prod-down` `pow-exp` `clear-num` `sum-log` `div-inv`

Counts

4 → 91

Calls

4 calls:

6.0ms	(+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)
13.0ms	(* (pow x 2) (+ (* x 1/6) 1/2))
3.0ms	(* x 1/6)
16.0ms	(/ (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x) x)

series150.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)
64.0ms	(* (pow x 2) (+ (* x 1/6) 1/2))
13.0ms	(* x 1/6)
47.0ms	(/ (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x) x)

simplify65.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	390	685
1	2030	628
2	5002	628

prune198.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (exp x) x)
3.7b	(- (/ (exp x) x) (/ 1.0 x))

rewrite24.0ms

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)
20.0ms	(- (/ (exp x) x) (/ 1.0 x))

series75.0ms

Counts

2 → 6

Calls

2 calls:

29.0ms	(/ (exp x) x)
45.0ms	(- (/ (exp x) x) (/ 1.0 x))

simplify63.0ms

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

prune102.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

332×	`*-un-lft-identity`
327×	`times-frac`
274×	`add-sqr-sqrt`
188×	`sqrt-prod`
120×	`add-cube-cbrt`
76×	`difference-of-squares`
68×	`distribute-lft-out`
38×	`distribute-lft-out--`
33×	`associate-/r*`
13×	`associate-/r/`
9×	`add-exp-log` `add-cbrt-cube`
8×	`sqrt-pow1`
7×	`flip3--` `flip--` `div-inv`
6×	`pow1` `exp-prod` `add-log-exp`
5×	`associate-/l*`
3×	`cbrt-undiv` `div-exp`
2×	`rem-sqrt-square` `pow1/2` `associate-/l/`
1×	`sub-neg` `frac-2neg` `flip3-+` `diff-log` `clear-num` `flip-+`

Counts

4 → 270

Calls

4 calls:

1.0ms	(sqrt (exp x))
1.0ms	(sqrt (exp x))
37.0ms	(/ (+ (sqrt (exp x)) (sqrt 1.0)) (/ x (- (sqrt (exp x)) (sqrt 1.0))))
8.0ms	(- (sqrt (exp x)) (sqrt 1.0))

series212.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(sqrt (exp x))
12.0ms	(sqrt (exp x))
150.0ms	(/ (+ (sqrt (exp x)) (sqrt 1.0)) (/ x (- (sqrt (exp x)) (sqrt 1.0))))
38.0ms	(- (sqrt (exp x)) (sqrt 1.0))

simplify95.0ms

Algorithm

egg-herbie

Counts

282 → 282

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	633	4650
1	3130	4213
2	5001	4164

prune387.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

regimes28.0ms

Accuracy

99% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 21.8b

bsearch39.0ms

Steps

Iters	Range		Point
9	-0.00020282774512128207	-1.0593127772646427e-09	-0.00016731406755706916

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	33
1	38	33

end0.0ms

sample865.0ms

Algorithm

intervals

Results

378.0ms	2206×	body	1280	valid
174.0ms	1660×	body	640	valid
96.0ms	5405×	body	80	valid
63.0ms	838×	body	320	valid
18.0ms	424×	body	160	valid