Details

sample65.0ms

Algorithm

intervals

Results

30.0ms	104×	body	1280	valid
14.0ms	88×	body	640	valid
6.0ms	250×	body	80	valid
4.0ms	39×	body	320	valid
1.0ms	18×	body	160	valid

simplify227.0ms

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

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.5b

localize6.0ms

Local error

Found 1 expressions with local error:

5.9b	(- (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)))

series40.0ms

Counts

1 → 3

Calls

1 calls:

40.0ms

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

simplify114.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 3 (110.0ms)

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

prune68.0ms

Filtered

31 candidates to 18 candidates (58.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 1 expressions with local error:

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

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

series61.0ms

Counts

1 → 3

Calls

1 calls:

60.0ms

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

simplify31.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	49	89
1	150	78
2	862	78
3	5001	78

prune41.0ms

Filtered

13 candidates to 10 candidates (76.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x)))
0.0b	(pow (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) 3)
38.0b	(cbrt (pow (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) 3))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 58

Calls

3 calls:

0.0ms	(fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x)))
1.0ms	(pow (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) 3)
2.0ms	(cbrt (pow (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) 3))

series200.0ms

Counts

3 → 9

Calls

3 calls:

55.0ms	(fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x)))
83.0ms	(pow (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) 3)
62.0ms	(cbrt (pow (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) 3))

simplify35.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 2 (26.0ms)

Iter	Nodes	Cost
0	185	541
1	630	510
2	5001	504

prune146.0ms

Filtered

67 candidates to 38 candidates (56.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(log1p (- (exp x) (exp (- x))))
0.0b	(expm1 (log1p (- (exp x) (exp (- x)))))
5.9b	(- (exp x) (exp (- x)))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 50

Calls

3 calls:

0.0ms	(log1p (- (exp x) (exp (- x))))
0.0ms	(expm1 (log1p (- (exp x) (exp (- x)))))
7.0ms	(- (exp x) (exp (- x)))

series270.0ms

Counts

3 → 9

Calls

3 calls:

79.0ms	(log1p (- (exp x) (exp (- x))))
155.0ms	(expm1 (log1p (- (exp x) (exp (- x)))))
36.0ms	(- (exp x) (exp (- x)))

simplify163.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 3 (158.0ms)

Iter	Nodes	Cost
0	209	527
1	543	378
2	3508	373
3	5001	362

prune110.0ms

Filtered

59 candidates to 38 candidates (64.4%)

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes35.0ms

Accuracy

0% (0.4b remaining)

Error of 0.7b against oracle of 0.3b and baseline of 0.7b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	6
1	14	6

end0.0ms

sample2.0s

Algorithm

intervals

Results

997.0ms	3452×	body	1280	valid
417.0ms	2423×	body	640	valid
205.0ms	8359×	body	80	valid
128.0ms	1234×	body	320	valid
39.0ms	610×	body	160	valid