Details

sample39.0ms

Algorithm

intervals

Results

15.0ms	103×	body	1280	valid
8.0ms	94×	body	640	valid
4.0ms	395×	pre	80	true
2.0ms	34×	body	320	valid
2.0ms	148×	body	80	valid
1.0ms	16×	body	160	valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	2
1	7	2
2	7	2

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 57.9b

localize3.0ms

Local error

Found 1 expressions with local error:

4.9b	(- (exp x) 1.0)

rewrite6.0ms

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:

5.0ms

(- (exp x) 1.0)

series15.0ms

Counts

1 → 3

Calls

1 calls:

15.0ms

(- (exp x) 1.0)

simplify64.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 3 (60.0ms)

Iter	Nodes	Cost
0	140	205
1	403	130
2	2063	120
3	5003	90

prune61.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma 1/6 (pow x 3) x)
0.0b	(fma 1/2 (pow x 2) (fma 1/6 (pow x 3) 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 1/6 (pow x 3) x)
0.0ms	(fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x))

series106.0ms

Counts

2 → 6

Calls

2 calls:

76.0ms	(fma 1/6 (pow x 3) x)
30.0ms	(fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x))

simplify41.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	55	118
1	186	104
2	1137	104
3	5001	104

prune73.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp x) 1.0)
0.0b	(fma 1.0 (+ (exp x) 1.0) (exp (+ x x)))
0.1b	(pow (exp x) 3)
4.8b	(- (pow (exp x) 3) (pow 1.0 3))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

144×	`prod-diff`
108×	`add-sqr-sqrt`
96×	`*-un-lft-identity`
90×	`unpow-prod-down` `cube-prod`
84×	`add-cube-cbrt`
34×	`sqr-pow`
26×	`cube-mult` `unpow3`
16×	`difference-of-squares`
12×	`fma-neg`
8×	`add-log-exp`
5×	`pow1` `add-cbrt-cube` `distribute-lft-out--`
4×	`add-exp-log` `expm1-log1p-u` `pow-pow` `log1p-expm1-u`
3×	`pow-unpow` `exp-prod` `fma-def`
1×	`difference-cubes` `+-commutative` `pow-to-exp` `sub-neg` `flip3--` `flip3-+` `diff-log` `pow-exp` `sum-log` `flip--` `flip-+` `fma-udef` `distribute-lft-out` `rem-cube-cbrt`

Counts

4 → 247

Calls

4 calls:

4.0ms	(+ (exp x) 1.0)
0.0ms	(fma 1.0 (+ (exp x) 1.0) (exp (+ x x)))
5.0ms	(pow (exp x) 3)
26.0ms	(- (pow (exp x) 3) (pow 1.0 3))

series108.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(+ (exp x) 1.0)
38.0ms	(fma 1.0 (+ (exp x) 1.0) (exp (+ x x)))
24.0ms	(pow (exp x) 3)
38.0ms	(- (pow (exp x) 3) (pow 1.0 3))

simplify100.0ms

Algorithm

egg-herbie

Counts

259 → 259

Iterations

Useful iterations: 2 (74.0ms)

Iter	Nodes	Cost
0	580	2409
1	1989	1685
2	5001	1654

prune283.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma (exp x) (+ (exp x) 1.0) 1.0)
0.0b	(+ (exp x) 1.0)
0.1b	(pow (exp x) 3)
4.8b	(- (pow (exp x) 3) (pow 1.0 3))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

144×	`prod-diff`
108×	`add-sqr-sqrt`
96×	`*-un-lft-identity`
90×	`unpow-prod-down` `cube-prod`
84×	`add-cube-cbrt`
34×	`sqr-pow`
26×	`cube-mult` `unpow3`
16×	`difference-of-squares`
12×	`fma-neg`
8×	`add-log-exp`
5×	`pow1` `add-cbrt-cube` `distribute-lft-out--`
4×	`add-exp-log` `expm1-log1p-u` `pow-pow` `log1p-expm1-u`
3×	`pow-unpow` `exp-prod` `fma-def`
1×	`difference-cubes` `+-commutative` `pow-to-exp` `sub-neg` `flip3--` `flip3-+` `diff-log` `pow-exp` `sum-log` `flip--` `flip-+` `fma-udef` `distribute-lft-out` `rem-cube-cbrt`

Counts

4 → 247

Calls

4 calls:

0.0ms	(fma (exp x) (+ (exp x) 1.0) 1.0)
4.0ms	(+ (exp x) 1.0)
2.0ms	(pow (exp x) 3)
24.0ms	(- (pow (exp x) 3) (pow 1.0 3))

series106.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(fma (exp x) (+ (exp x) 1.0) 1.0)
8.0ms	(+ (exp x) 1.0)
24.0ms	(pow (exp x) 3)
43.0ms	(- (pow (exp x) 3) (pow 1.0 3))

simplify98.0ms

Algorithm

egg-herbie

Counts

259 → 259

Iterations

Useful iterations: 2 (72.0ms)

Iter	Nodes	Cost
0	580	2417
1	1970	1690
2	5002	1662

prune237.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes52.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	4

end0.0ms

sample1.1s

Algorithm

intervals

Results

500.0ms	3482×	body	1280	valid
207.0ms	2463×	body	640	valid
109.0ms	11989×	pre	80	true
66.0ms	1231×	body	320	valid
55.0ms	4190×	body	80	valid
21.0ms	623×	body	160	valid