Details

sample70.0ms

Algorithm

intervals

Results

30.0ms	104×	body	1280	valid
14.0ms	81×	body	640	valid
6.0ms	41×	body	320	valid
6.0ms	250×	body	80	valid
2.0ms	24×	body	160	valid

simplify223.0ms

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: 58.5b

localize6.0ms

Local error

Found 1 expressions with local error:

6.3b	(- (exp x) (exp (- x)))

rewrite17.0ms

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:

16.0ms

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

series38.0ms

Counts

1 → 3

Calls

1 calls:

38.0ms

(- (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

prune62.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify2.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0

prune4.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(pow (- (exp x) (exp (* -1 x))) 3)
0.1b	(cbrt (pow (- (exp x) (exp (* -1 x))) 3))
6.3b	(- (exp x) (exp (* -1 x)))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt` `*-un-lft-identity`
16×	`cbrt-prod` `add-cube-cbrt`
10×	`unpow-prod-down` `cube-prod`
9×	`prod-diff`
5×	`distribute-lft-out--` `add-log-exp` `difference-of-squares`
4×	`pow1` `add-exp-log` `cube-div` `add-cbrt-cube`
3×	`expm1-log1p-u` `pow-unpow` `flip3--` `fma-neg` `flip--` `log1p-expm1-u`
2×	`cube-mult` `cbrt-div` `unpow3` `sqr-pow`
1×	`pow-to-exp` `sub-neg` `pow-pow` `pow1/3` `diff-log` `pow-exp` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

3 → 88

Calls

3 calls:

18.0ms	(pow (- (exp x) (exp (* -1 x))) 3)
19.0ms	(cbrt (pow (- (exp x) (exp (* -1 x))) 3))
15.0ms	(- (exp x) (exp (* -1 x)))

series128.0ms

Counts

3 → 9

Calls

3 calls:

61.0ms	(pow (- (exp x) (exp (* -1 x))) 3)
35.0ms	(cbrt (pow (- (exp x) (exp (* -1 x))) 3))
32.0ms	(- (exp x) (exp (* -1 x)))

simplify39.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	297	870
1	1039	724
2	5001	709

prune155.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (fma (- (exp (* -1 x))) (exp (* -1 x)) (exp (+ x x))) (+ (exp x) (exp (* -1 x))))
6.3b	(fma (- (exp (* -1 x))) (exp (* -1 x)) (exp (+ x x)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

19×	`*-un-lft-identity`
12×	`times-frac`
11×	`add-sqr-sqrt` `add-cube-cbrt`
4×	`add-exp-log` `associate-/r*` `add-cbrt-cube` `distribute-lft-out`
3×	`associate-/l*`
2×	`pow1` `expm1-log1p-u` `associate-/r/` `log1p-expm1-u` `add-log-exp`
1×	`cbrt-undiv` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip-+` `fma-udef` `div-inv`

Counts

2 → 45

Calls

2 calls:

21.0ms	(/ (fma (- (exp (* -1 x))) (exp (* -1 x)) (exp (+ x x))) (+ (exp x) (exp (* -1 x))))
0.0ms	(fma (- (exp (* -1 x))) (exp (* -1 x)) (exp (+ x x)))

series192.0ms

Counts

2 → 6

Calls

2 calls:

114.0ms	(/ (fma (- (exp (* -1 x))) (exp (* -1 x)) (exp (+ x x))) (+ (exp x) (exp (* -1 x))))
78.0ms	(fma (- (exp (* -1 x))) (exp (* -1 x)) (exp (+ x x)))

simplify104.0ms

Algorithm

egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 3 (97.0ms)

Iter	Nodes	Cost
0	201	871
1	582	788
2	2738	753
3	5001	747

prune129.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes15.0ms

Accuracy

0% (0.6b remaining)

Error of 0.6b against oracle of 0.1b 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

sample2.0s

Algorithm

intervals

Results

930.0ms	3312×	body	1280	valid
432.0ms	2578×	body	640	valid
193.0ms	8137×	body	80	valid
129.0ms	1242×	body	320	valid
39.0ms	619×	body	160	valid