Details

sample92.0ms

Algorithm

intervals

Results

38.0ms	96×	body	1280	valid
22.0ms	84×	body	640	valid
11.0ms	246×	body	80	valid
8.0ms	48×	body	320	valid
2.0ms	17×	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: 57.7b

localize9.0ms

Local error

Found 1 expressions with local error:

5.8b	(- (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)))

series34.0ms

Counts

1 → 3

Calls

1 calls:

34.0ms

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

simplify113.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 3 (109.0ms)

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

prune63.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

2×	`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

2 → 20

Calls

2 calls:

0.0ms	(fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x)))
3.0ms	(fma 1/60 (pow x 5) (* 2 x))

series168.0ms

Counts

2 → 6

Calls

2 calls:

54.0ms	(fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x)))
114.0ms	(fma 1/60 (pow x 5) (* 2 x))

simplify35.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	60	148
1	187	130
2	1009	130
3	5002	130

prune77.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x)))
0.0b	(fma 1/60 (pow x 5) (* 2 x))
0.0b	(fma 1/60 (pow x 5) (* 2 x))
0.3b	(* (sqrt (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x)))) (sqrt (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x)))))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
19×	`pow1`
18×	`sqrt-prod`
12×	`add-cube-cbrt` `*-un-lft-identity`
8×	`sqrt-pow1` `pow1/2` `swap-sqr`
6×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube`
5×	`pow-prod-up`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr` `fma-udef`
1×	`pow2` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 81

Calls

4 calls:

0.0ms	(fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x)))
0.0ms	(fma 1/60 (pow x 5) (* 2 x))
3.0ms	(fma 1/60 (pow x 5) (* 2 x))
7.0ms	(* (sqrt (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x)))) (sqrt (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x)))))

series339.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x)))
114.0ms	(fma 1/60 (pow x 5) (* 2 x))
117.0ms	(fma 1/60 (pow x 5) (* 2 x))
53.0ms	(* (sqrt (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x)))) (sqrt (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x)))))

simplify225.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (25.0ms)

Iter	Nodes	Cost
0	143	670
1	599	582
2	4772	550
3	5001	550

prune221.0ms

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	(sqrt (exp x))
0.0b	(sqrt (exp x))
5.8b	(fma (sqrt (exp x)) (sqrt (exp x)) (- (exp (- x))))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt`
8×	`sqrt-pow1`
7×	`add-cube-cbrt` `*-un-lft-identity`
6×	`exp-prod` `sqrt-prod`
5×	`pow1`
3×	`add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`rem-sqrt-square` `pow1/2`
1×	`fma-udef`

Counts

3 → 46

Calls

3 calls:

1.0ms	(sqrt (exp x))
1.0ms	(sqrt (exp x))
0.0ms	(fma (sqrt (exp x)) (sqrt (exp x)) (- (exp (- x))))

series101.0ms

Counts

3 → 9

Calls

3 calls:

11.0ms	(sqrt (exp x))
11.0ms	(sqrt (exp x))
79.0ms	(fma (sqrt (exp x)) (sqrt (exp x)) (- (exp (- x))))

simplify86.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 4 (82.0ms)

Iter	Nodes	Cost
0	103	240
1	220	214
2	658	213
3	2560	211
4	5002	209

prune125.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes17.0ms

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

sample2.9s

Algorithm

intervals

Results

1.4s	3439×	body	1280	valid
648.0ms	2453×	body	640	valid
355.0ms	8113×	body	80	valid
217.0ms	1244×	body	320	valid
67.0ms	608×	body	160	valid