Details

sample68.0ms

Algorithm

intervals

Results

34.0ms	123×	body	1280	valid
11.0ms	70×	body	640	valid
7.0ms	279×	body	80	valid
4.0ms	37×	body	320	valid
3.0ms	13×	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

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 57.3b

localize6.0ms

Local error

Found 1 expressions with local error:

4.2b	(- (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)))

series36.0ms

Counts

1 → 3

Calls

1 calls:

36.0ms

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

simplify114.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 3 (110.0ms)

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

prune71.0ms

Filtered

31 candidates to 18 candidates (58.1%)

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)))

series54.0ms

Counts

1 → 3

Calls

1 calls:

53.0ms

(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

prune45.0ms

Filtered

13 candidates to 10 candidates (76.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x)))
0.0b	(pow (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) 3)
41.0b	(cbrt (pow (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) 3))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`unpow-prod-down` `cube-prod`
4×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`expm1-log1p-u` `pow-unpow` `log1p-expm1-u` `add-log-exp`
2×	`cube-mult` `unpow3` `sqr-pow`
1×	`pow-to-exp` `pow-pow` `pow1/3` `pow-exp` `rem-cbrt-cube` `fma-udef` `rem-cube-cbrt`

Counts

3 → 58

Calls

3 calls:

0.0ms	(fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x)))
1.0ms	(pow (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) 3)
2.0ms	(cbrt (pow (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) 3))

series188.0ms

Counts

3 → 9

Calls

3 calls:

55.0ms	(fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x)))
77.0ms	(pow (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) 3)
55.0ms	(cbrt (pow (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) 3))

simplify34.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 2 (26.0ms)

Iter	Nodes	Cost
0	185	541
1	630	510
2	5001	504

prune150.0ms

Filtered

67 candidates to 38 candidates (56.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (exp (- x)))
0.0b	(sqrt (exp (- x)))
0.0b	(* (+ (sqrt (exp x)) (sqrt (exp (- x)))) (- (sqrt (exp x)) (sqrt (exp (- x)))))
4.2b	(- (sqrt (exp x)) (sqrt (exp (- x))))

rewrite109.0ms

Algorithm

rewrite-expression-head

Rules

131×	`sqrt-prod`
108×	`add-sqr-sqrt` `prod-diff`
100×	`*-un-lft-identity`
88×	`add-cube-cbrt`
38×	`distribute-rgt-in` `distribute-lft-in`
22×	`sqrt-pow1`
20×	`exp-prod`
9×	`associate-r`
8×	`pow1` `difference-of-squares`
6×	`add-exp-log` `distribute-lft-neg-in` `distribute-rgt-neg-in` `fma-neg` `add-cbrt-cube` `add-log-exp`
5×	`associate-l`
4×	`expm1-log1p-u` `frac-times` `flip3--` `sqrt-div` `flip--` `log1p-expm1-u` `distribute-lft-out--`
3×	`sub-neg` `flip3-+` `flip-+`
2×	`neg-sub0` `exp-neg` `neg-mul-1` `rem-sqrt-square` `pow1/2` `exp-diff` `associate-r/` `associate-l/` `distribute-lft-out`
1×	`diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 228

Calls

4 calls:

4.0ms	(sqrt (exp (- x)))
4.0ms	(sqrt (exp (- x)))
74.0ms	(* (+ (sqrt (exp x)) (sqrt (exp (- x)))) (- (sqrt (exp x)) (sqrt (exp (- x)))))
15.0ms	(- (sqrt (exp x)) (sqrt (exp (- x))))

series215.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(sqrt (exp (- x)))
14.0ms	(sqrt (exp (- x)))
123.0ms	(* (+ (sqrt (exp x)) (sqrt (exp (- x)))) (- (sqrt (exp x)) (sqrt (exp (- x)))))
60.0ms	(- (sqrt (exp x)) (sqrt (exp (- x))))

simplify88.0ms

Algorithm

egg-herbie

Counts

240 → 240

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	656	5559
1	2825	3854
2	5001	3534

prune358.0ms

Filtered

240 candidates to 106 candidates (44.2%)

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes59.0ms

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

sample1.9s

Algorithm

intervals

Results

925.0ms	3367×	body	1280	valid
406.0ms	2454×	body	640	valid
188.0ms	8173×	body	80	valid
124.0ms	1282×	body	320	valid
37.0ms	619×	body	160	valid