Details

sample79.0ms

Algorithm

intervals

Results

34.0ms	109×	body	1280	valid
16.0ms	80×	body	640	valid
12.0ms	280×	body	80	valid
5.0ms	43×	body	320	valid
1.0ms	17×	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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.5b

localize6.0ms

Local error

Found 1 expressions with local error:

4.7b	(- (exp x) (exp (- x)))

rewrite8.0ms

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:

7.0ms

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

series40.0ms

Counts

1 → 3

Calls

1 calls:

40.0ms

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

simplify118.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 3 (114.0ms)

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

prune67.0ms

Pruning

4 alts after pruning (4 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)))

series55.0ms

Counts

1 → 3

Calls

1 calls:

55.0ms

(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

prune43.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp x) (exp (- x)))
0.0b	(/ (fma (- 1) (pow (exp x) -2) (exp (+ x x))) (+ (exp x) (exp (- x))))
0.0b	(pow (exp x) -2)
4.7b	(fma (- 1) (pow (exp x) -2) (exp (+ x x)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 84

Calls

4 calls:

6.0ms	(+ (exp x) (exp (- x)))
10.0ms	(/ (fma (- 1) (pow (exp x) -2) (exp (+ x x))) (+ (exp x) (exp (- x))))
2.0ms	(pow (exp x) -2)
0.0ms	(fma (- 1) (pow (exp x) -2) (exp (+ x x)))

series226.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(+ (exp x) (exp (- x)))
116.0ms	(/ (fma (- 1) (pow (exp x) -2) (exp (+ x x))) (+ (exp x) (exp (- x))))
18.0ms	(pow (exp x) -2)
70.0ms	(fma (- 1) (pow (exp x) -2) (exp (+ x x)))

simplify48.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	328	934
1	1277	846
2	5002	813

prune263.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (exp x) (exp (- x)))
0.0b	(fma 8/3 (pow x 3) (fma 8/15 (pow x 5) (* 4 x)))
0.0b	(/ (fma 8/3 (pow x 3) (fma 8/15 (pow x 5) (* 4 x))) (+ (exp x) (exp (- x))))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 62

Calls

3 calls:

5.0ms	(+ (exp x) (exp (- x)))
0.0ms	(fma 8/3 (pow x 3) (fma 8/15 (pow x 5) (* 4 x)))
14.0ms	(/ (fma 8/3 (pow x 3) (fma 8/15 (pow x 5) (* 4 x))) (+ (exp x) (exp (- x))))

series174.0ms

Counts

3 → 9

Calls

3 calls:

27.0ms	(+ (exp x) (exp (- x)))
54.0ms	(fma 8/3 (pow x 3) (fma 8/15 (pow x 5) (* 4 x)))
93.0ms	(/ (fma 8/3 (pow x 3) (fma 8/15 (pow x 5) (* 4 x))) (+ (exp x) (exp (- x))))

simplify179.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	276	806
1	936	740
2	4863	737
3	5001	737

prune256.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes26.0ms

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

sample2.3s

Algorithm

intervals

Results

1.0s	3371×	body	1280	valid
491.0ms	2516×	body	640	valid
369.0ms	8305×	body	80	valid
156.0ms	1244×	body	320	valid
55.0ms	627×	body	160	valid