Details

sample51.0ms

Algorithm

intervals

Results

21.0ms	70×	body	1280	valid
10.0ms	54×	body	640	valid
7.0ms	164×	body	80	valid
3.0ms	23×	body	320	valid
2.0ms	23×	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: 40.6b

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- (exp x) 1.0) x)
5.6b	(- (exp x) 1.0)

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-sqr-sqrt` `*-un-lft-identity`
19×	`add-cube-cbrt`
15×	`times-frac`
9×	`prod-diff`
5×	`associate-/l*` `distribute-lft-out--` `difference-of-squares`
4×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`fma-neg` `associate-/r*`
2×	`pow1` `expm1-log1p-u` `flip3--` `flip--` `log1p-expm1-u` `associate-/l/`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `diff-log` `div-sub` `div-exp` `clear-num` `div-inv`

Counts

2 → 68

Calls

2 calls:

12.0ms	(/ (- (exp x) 1.0) x)
5.0ms	(- (exp x) 1.0)

series63.0ms

Counts

2 → 6

Calls

2 calls:

48.0ms	(/ (- (exp x) 1.0) x)
15.0ms	(- (exp x) 1.0)

simplify33.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	282	468
1	919	380
2	5001	377

prune142.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

0.1b	(fma 1/6 (pow x 2) (fma 1/2 x 1))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

0.0ms

(fma 1/6 (pow x 2) (fma 1/2 x 1))

series22.0ms

Counts

1 → 3

Calls

1 calls:

22.0ms

(fma 1/6 (pow x 2) (fma 1/2 x 1))

simplify25.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	36	59
1	104	52
2	535	52
3	5002	52

prune36.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (exp x) x)
4.5b	(- (/ (exp x) x) (/ 1.0 x))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

262×	`times-frac`
213×	`add-sqr-sqrt`
209×	`*-un-lft-identity`
201×	`add-cube-cbrt`
169×	`prod-diff`
30×	`div-inv`
13×	`fma-neg`
4×	`add-cbrt-cube` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
3×	`add-exp-log` `associate-/r` `associate-/l`
2×	`pow1` `expm1-log1p-u` `log1p-expm1-u`
1×	`cbrt-undiv` `sub-neg` `flip3--` `distribute-rgt-out--` `frac-2neg` `diff-log` `div-exp` `clear-num` `frac-sub` `flip--` `sub-div`

Counts

2 → 236

Calls

2 calls:

3.0ms	(/ (exp x) x)
24.0ms	(- (/ (exp x) x) (/ 1.0 x))

series82.0ms

Counts

2 → 6

Calls

2 calls:

29.0ms	(/ (exp x) x)
53.0ms	(- (/ (exp x) x) (/ 1.0 x))

simplify84.0ms

Algorithm

egg-herbie

Counts

242 → 242

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	759	5012
1	2095	3629
2	5003	2659

prune191.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (/ 1 x) (- (exp x) 1.0))
5.6b	(- (exp x) 1.0)

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

40×	`add-sqr-sqrt`
34×	`*-un-lft-identity`
29×	`add-cube-cbrt`
27×	`prod-diff`
13×	`associate-l`
11×	`add-exp-log` `distribute-rgt-in` `distribute-lft-in` `times-frac`
7×	`add-cbrt-cube`
5×	`associate-r`
4×	`pow1` `prod-exp` `add-log-exp`
3×	`sub-neg` `flip3--` `fma-neg` `flip--` `unswap-sqr`
2×	`expm1-log1p-u` `frac-times` `associate-*r/` `div-exp` `cbrt-unprod` `log1p-expm1-u` `distribute-lft-out--` `difference-of-squares`
1×	`cbrt-undiv` `rec-exp` `diff-log` `1-exp` `pow-prod-down` `associate-l/` `-commutative` `div-inv`

Counts

2 → 93

Calls

2 calls:

21.0ms	(* (/ 1 x) (- (exp x) 1.0))
5.0ms	(- (exp x) 1.0)

series59.0ms

Counts

2 → 6

Calls

2 calls:

43.0ms	(* (/ 1 x) (- (exp x) 1.0))
16.0ms	(- (exp x) 1.0)

simplify47.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	429	823
1	1665	537
2	5002	485

prune138.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes17.0ms

Accuracy

98.6% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 21.1b

bsearch43.0ms

Steps

Iters	Range		Point
10	-29.541817090935037	-6.322351620237733e-11	-0.0001012327742145682

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	7
1	19	7

end0.0ms

sample1.4s

Algorithm

intervals

Results

581.0ms	2264×	body	1280	valid
297.0ms	1647×	body	640	valid
226.0ms	5322×	body	80	valid
108.0ms	855×	body	320	valid
38.0ms	435×	body	160	valid