Details

sample98.0ms

Algorithm

intervals

Results

45.0ms	107×	body	1280	valid
19.0ms	77×	body	640	valid
14.0ms	240×	body	80	valid
5.0ms	30×	body	320	valid
4.0ms	33×	body	160	valid

simplify220.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	5
1	23	5
2	31	5
3	36	5
4	41	5
5	65	5
6	108	5
7	267	5
8	1342	5
9	5001	5

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 57.5b

localize6.0ms

Local error

Found 1 expressions with local error:

7.6b	(- (exp x) (exp (- x)))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt` `*-un-lft-identity`
9×	`prod-diff`
8×	`add-cube-cbrt`
3×	`fma-neg` `add-log-exp`
1×	`pow1` `add-exp-log` `expm1-log1p-u` `sub-neg` `flip3--` `diff-log` `add-cbrt-cube` `flip--` `log1p-expm1-u` `distribute-lft-out--` `difference-of-squares`

Counts

1 → 28

Calls

1 calls:

7.0ms

(- (exp x) (exp (- x)))

series35.0ms

Counts

1 → 3

Calls

1 calls:

35.0ms

(- (exp x) (exp (- x)))

simplify115.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 3 (107.0ms)

Iter	Nodes	Cost
0	158	354
1	416	228
2	2421	226
3	5002	203

prune61.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma 1/60 (pow x 5) (* 2 x))
0.0b	(fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x)))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

2×	`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

2 → 20

Calls

2 calls:

0.0ms	(fma 1/60 (pow x 5) (* 2 x))
0.0ms	(fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x)))

series174.0ms

Counts

2 → 6

Calls

2 calls:

117.0ms	(fma 1/60 (pow x 5) (* 2 x))
56.0ms	(fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x)))

simplify34.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	60	148
1	184	130
2	1006	130
3	5001	130

prune73.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(sqrt (exp x))
0.0b	(sqrt (exp x))
7.7b	(fma (sqrt (exp x)) (sqrt (exp x)) (- (exp (- x))))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt`
8×	`sqrt-pow1`
7×	`add-cube-cbrt` `*-un-lft-identity`
6×	`exp-prod` `sqrt-prod`
5×	`pow1`
3×	`add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`rem-sqrt-square` `pow1/2`
1×	`fma-udef`

Counts

3 → 46

Calls

3 calls:

1.0ms	(sqrt (exp x))
1.0ms	(sqrt (exp x))
0.0ms	(fma (sqrt (exp x)) (sqrt (exp x)) (- (exp (- x))))

series104.0ms

Counts

3 → 9

Calls

3 calls:

11.0ms	(sqrt (exp x))
11.0ms	(sqrt (exp x))
81.0ms	(fma (sqrt (exp x)) (sqrt (exp x)) (- (exp (- x))))

simplify86.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 4 (83.0ms)

Iter	Nodes	Cost
0	103	240
1	220	214
2	658	213
3	2560	211
4	5002	209

prune125.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 1 expressions with local error:

7.6b	(+ (exp x) (- (exp (- x))))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

6×	`*-un-lft-identity`
5×	`add-log-exp`
3×	`fma-def`
2×	`add-sqr-sqrt` `add-cube-cbrt` `sum-log` `distribute-lft-out`
1×	`pow1` `add-exp-log` `+-commutative` `neg-sub0` `expm1-log1p-u` `associate-+r-` `distribute-rgt-neg-in` `flip3-+` `unsub-neg` `neg-log` `add-cbrt-cube` `flip-+` `log1p-expm1-u`

Counts

1 → 22

Calls

1 calls:

9.0ms

(+ (exp x) (- (exp (- x))))

series38.0ms

Counts

1 → 3

Calls

1 calls:

38.0ms

(+ (exp x) (- (exp (- x))))

simplify58.0ms

Algorithm

egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 2 (13.0ms)

Iter	Nodes	Cost
0	131	141
1	476	120
2	2055	113
3	5001	113

prune43.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes14.0ms

Accuracy

45.5% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.7b

bsearch33.0ms

Steps

Iters	Range		Point
8	0.00035723662727133143	3.9715340067303715	0.015493582076572357

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	12
1	24	12

end0.0ms

sample3.0s

Algorithm

intervals

Results

1.3s	3388×	body	1280	valid
641.0ms	2466×	body	640	valid
456.0ms	7855×	body	80	valid
217.0ms	1246×	body	320	valid
78.0ms	633×	body	160	valid