Details

sample115.0ms

Algorithm

intervals

Results

38.0ms	102×	body	1280	valid
18.0ms	76×	body	640	valid
10.0ms	239×	body	80	valid
7.0ms	45×	body	320	valid
4.0ms	21×	body	160	valid

simplify221.0ms

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: 57.1b

localize6.0ms

Local error

Found 1 expressions with local error:

5.4b	(- (exp x) (exp (- x)))

rewrite9.0ms

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:

8.0ms

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

series36.0ms

Counts

1 → 3

Calls

1 calls:

36.0ms

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

simplify111.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 3 (108.0ms)

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

prune69.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

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)))

series181.0ms

Counts

2 → 6

Calls

2 calls:

126.0ms	(fma 1/60 (pow x 5) (* 2 x))
54.0ms	(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 (3.0ms)

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

prune80.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma 1/60 (pow x 5) (* 2 x))
0.0b	(fma 1/3 (pow x 3) (cbrt (pow (fma 1/60 (pow x 5) (* 2 x)) 3)))
0.0b	(pow (fma 1/60 (pow x 5) (* 2 x)) 3)
35.4b	(cbrt (pow (fma 1/60 (pow x 5) (* 2 x)) 3))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`unpow-prod-down` `cube-prod`
5×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow`
2×	`cube-mult` `unpow3` `fma-udef` `sqr-pow`
1×	`pow-to-exp` `pow-pow` `pow1/3` `pow-exp` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

4 → 68

Calls

4 calls:

0.0ms	(fma 1/60 (pow x 5) (* 2 x))
0.0ms	(fma 1/3 (pow x 3) (cbrt (pow (fma 1/60 (pow x 5) (* 2 x)) 3)))
1.0ms	(pow (fma 1/60 (pow x 5) (* 2 x)) 3)
1.0ms	(cbrt (pow (fma 1/60 (pow x 5) (* 2 x)) 3))

series451.0ms

Counts

4 → 12

Calls

4 calls:

123.0ms	(fma 1/60 (pow x 5) (* 2 x))
60.0ms	(fma 1/3 (pow x 3) (cbrt (pow (fma 1/60 (pow x 5) (* 2 x)) 3)))
142.0ms	(pow (fma 1/60 (pow x 5) (* 2 x)) 3)
126.0ms	(cbrt (pow (fma 1/60 (pow x 5) (* 2 x)) 3))

simplify185.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 2 (25.0ms)

Iter	Nodes	Cost
0	185	486
1	644	448
2	4576	438
3	5001	438

prune186.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(sqrt (exp x))
0.0b	(sqrt (exp x))
5.5b	(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))))

series108.0ms

Counts

3 → 9

Calls

3 calls:

12.0ms	(sqrt (exp x))
12.0ms	(sqrt (exp x))
84.0ms	(fma (sqrt (exp x)) (sqrt (exp x)) (- (exp (- x))))

simplify85.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 4 (82.0ms)

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

prune130.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes18.0ms

Accuracy

0% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	6
1	14	6

end0.0ms

sample2.8s

Algorithm

intervals

Results

1.3s	3396×	body	1280	valid
615.0ms	2497×	body	640	valid
344.0ms	8114×	body	80	valid
200.0ms	1237×	body	320	valid
63.0ms	603×	body	160	valid