Details

sample65.0ms

Algorithm

intervals

Results

31.0ms	115×	body	1280	valid
12.0ms	74×	body	640	valid
6.0ms	259×	body	80	valid
4.0ms	45×	body	320	valid
1.0ms	17×	body	160	valid

simplify218.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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: 58.9b

localize8.0ms

Local error

Found 1 expressions with local error:

4.9b	(- (exp x) (exp (- x)))

rewrite7.0ms

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:

6.0ms

(- (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 (107.0ms)

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

prune65.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

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

prune7.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(pow (exp x) -2)
0.0b	(/ (fma (- 1) (pow (exp x) -2) (exp (+ x x))) (+ (exp x) (exp (- x))))
4.9b	(fma (- 1) (pow (exp x) -2) (exp (+ x x)))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 67

Calls

3 calls:

3.0ms	(pow (exp x) -2)
7.0ms	(/ (fma (- 1) (pow (exp x) -2) (exp (+ x x))) (+ (exp x) (exp (- x))))
1.0ms	(fma (- 1) (pow (exp x) -2) (exp (+ x x)))

series199.0ms

Counts

3 → 9

Calls

3 calls:

18.0ms	(pow (exp x) -2)
110.0ms	(/ (fma (- 1) (pow (exp x) -2) (exp (+ x x))) (+ (exp x) (exp (- x))))
71.0ms	(fma (- 1) (pow (exp x) -2) (exp (+ x x)))

simplify43.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	291	824
1	1097	754
2	5002	733

prune206.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (fma (- 1) (pow (exp 1) (* x -2)) (exp (+ x x))) (+ (exp x) (exp (- x))))
0.0b	(pow (exp 1) (* x -2))
5.1b	(fma (- 1) (pow (exp 1) (* x -2)) (exp (+ x x)))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 65

Calls

3 calls:

6.0ms	(/ (fma (- 1) (pow (exp 1) (* x -2)) (exp (+ x x))) (+ (exp x) (exp (- x))))
3.0ms	(pow (exp 1) (* x -2))
1.0ms	(fma (- 1) (pow (exp 1) (* x -2)) (exp (+ x x)))

series217.0ms

Counts

3 → 9

Calls

3 calls:

122.0ms	(/ (fma (- 1) (pow (exp 1) (* x -2)) (exp (+ x x))) (+ (exp x) (exp (- x))))
13.0ms	(pow (exp 1) (* x -2))
82.0ms	(fma (- 1) (pow (exp 1) (* x -2)) (exp (+ x x)))

simplify37.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	289	897
1	995	812
2	5002	779

prune226.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes22.0ms

Accuracy

0% (0.6b remaining)

Error of 0.7b against oracle of 0.1b 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

sample1.9s

Algorithm

intervals

Results

957.0ms	3424×	body	1280	valid
410.0ms	2507×	body	640	valid
193.0ms	7995×	body	80	valid
123.0ms	1223×	body	320	valid
36.0ms	575×	body	160	valid