Details

sample65.0ms

Algorithm

intervals

Results

30.0ms	111×	body	1280	valid
13.0ms	82×	body	640	valid
7.0ms	278×	body	80	valid
4.0ms	36×	body	320	valid
1.0ms	22×	body	160	valid

simplify225.0ms

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

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 58.4b

Counts

2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

5.5b	(- (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)))

series41.0ms

Counts

1 → 3

Calls

1 calls:

41.0ms

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

simplify115.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 3 (111.0ms)

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

prune64.0ms

Filtered

31 candidates to 18 candidates (58.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	29	2	31
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	30	2	32

Merged error: 0.0b

Counts

32 → 2

localize11.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify3.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune3.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	1	1
Done	0	0
Total	2	2

Merged error: 0.0b

Counts

2 → 2

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (fma (- 1) (pow (exp x) -2) (exp (+ x x))) (+ (exp x) (exp (- x))))
0.0b	(pow (exp x) -2)
5.5b	(fma (- 1) (pow (exp x) -2) (exp (+ x x)))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

23×	`*-un-lft-identity`
15×	`add-sqr-sqrt` `add-cube-cbrt`
12×	`times-frac`
6×	`add-exp-log`
5×	`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×	`pow-exp` `associate-/r/`
1×	`cbrt-undiv` `pow-to-exp` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip-+` `fma-udef` `div-inv` `sqr-pow`

Counts

3 → 68

Calls

3 calls:

6.0ms	(/ (fma (- 1) (pow (exp x) -2) (exp (+ x x))) (+ (exp x) (exp (- x))))
4.0ms	(pow (exp x) -2)
1.0ms	(fma (- 1) (pow (exp x) -2) (exp (+ x x)))

series203.0ms

Counts

3 → 9

Calls

3 calls:

112.0ms	(/ (fma (- 1) (pow (exp x) -2) (exp (+ x x))) (+ (exp x) (exp (- x))))
23.0ms	(pow (exp x) -2)
68.0ms	(fma (- 1) (pow (exp x) -2) (exp (+ x x)))

simplify43.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	291	825
1	1097	755
2	5002	734

prune200.0ms

Filtered

77 candidates to 56 candidates (72.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	76	1	77
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	77	2	79

Merged error: 0b

Counts

79 → 2

localize18.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (fma (- 1) (pow (exp (sqrt x)) (* (sqrt x) -2)) (exp (+ x x))) (+ (exp x) (exp (- x))))
2.3b	(fma (- 1) (pow (exp (sqrt x)) (* (sqrt x) -2)) (exp (+ x x)))

rewrite9.0ms

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:

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

series771.0ms

Counts

2 → 6

Calls

2 calls:

400.0ms	(/ (fma (- 1) (pow (exp (sqrt x)) (* (sqrt x) -2)) (exp (+ x x))) (+ (exp x) (exp (- x))))
370.0ms	(fma (- 1) (pow (exp (sqrt x)) (* (sqrt x) -2)) (exp (+ x x)))

simplify126.0ms

Algorithm

egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 3 (117.0ms)

Iter	Nodes	Cost
0	301	1011
1	913	927
2	3833	900
3	5001	899

prune180.0ms

Filtered

51 candidates to 41 candidates (80.4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	51	0	51
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	51	2	53

Merged error: 0b

Counts

53 → 2

regimes17.0ms

Accuracy

0% (0.2b remaining)

Error of 0.6b against oracle of 0.3b 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

sample1.9s

Algorithm

intervals

Results

951.0ms	3408×	body	1280	valid
400.0ms	2421×	body	640	valid
189.0ms	7852×	body	80	valid
121.0ms	1226×	body	320	valid
41.0ms	685×	body	160	valid