Details

sample73.0ms

Algorithm

intervals

Results

49.0ms	172×	body	1280	valid
6.0ms	279×	body	80	valid
6.0ms	36×	body	640	valid
2.0ms	23×	body	320	valid
1.0ms	18×	body	160	valid

simplify222.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	5
1	26	5
2	41	5
3	55	5
4	67	5
5	104	5
6	161	5
7	344	5
8	1454	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: 30.4b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (exp x) 2.0)
5.8b	(+ (- (exp x) 2.0) (exp (- x)))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

25×	`*-un-lft-identity`
20×	`add-sqr-sqrt`
18×	`prod-diff`
16×	`add-cube-cbrt`
11×	`associate-+l+`
9×	`add-log-exp`
5×	`fma-def`
4×	`frac-add`
3×	`flip3--` `fma-neg` `flip--` `distribute-lft-out--`
2×	`pow1` `add-exp-log` `neg-sub0` `exp-neg` `expm1-log1p-u` `sub-neg` `exp-diff` `diff-log` `sum-log` `add-cbrt-cube` `log1p-expm1-u` `distribute-lft-out` `difference-of-squares`
1×	`+-commutative` `associate-+l-` `flip3-+` `flip-+`

Counts

2 → 65

Calls

2 calls:

5.0ms	(- (exp x) 2.0)
26.0ms	(+ (- (exp x) 2.0) (exp (- x)))

series70.0ms

Counts

2 → 6

Calls

2 calls:

12.0ms	(- (exp x) 2.0)
58.0ms	(+ (- (exp x) 2.0) (exp (- x)))

simplify34.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	282	506
1	1008	381
2	5001	367

prune164.0ms

Filtered

71 candidates to 51 candidates (71.8%)

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma 1/360 (pow x 6) (* 1/12 (pow x 4)))
0.1b	(* 1/12 (pow x 4))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
7×	`add-exp-log` `associate-r`
5×	`add-cube-cbrt` `*-un-lft-identity`
4×	`unpow-prod-down` `add-cbrt-cube`
3×	`associate-l` `prod-exp` `unswap-sqr`
2×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp` `sqr-pow`
1×	`pow-to-exp` `pow-exp` `*-commutative` `cbrt-unprod` `fma-udef`

Counts

2 → 37

Calls

2 calls:

0.0ms	(fma 1/360 (pow x 6) (* 1/12 (pow x 4)))
6.0ms	(* 1/12 (pow x 4))

series163.0ms

Counts

2 → 6

Calls

2 calls:

127.0ms	(fma 1/360 (pow x 6) (* 1/12 (pow x 4)))
35.0ms	(* 1/12 (pow x 4))

simplify86.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 2 (16.0ms)

Iter	Nodes	Cost
0	123	177
1	469	163
2	2175	160
3	5002	160

prune108.0ms

Filtered

43 candidates to 29 candidates (67.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (exp x) 2.0)
5.8b	(+ (+ (- (exp x) 2.0) (fma (- 2.0) 1 2.0)) (exp (- x)))

rewrite112.0ms

Algorithm

rewrite-expression-head

Rules

26×	`*-un-lft-identity`
13×	`add-log-exp`
12×	`add-sqr-sqrt`
10×	`add-cube-cbrt`
9×	`prod-diff`
7×	`distribute-lft-out`
5×	`fma-def` `sum-log`
4×	`frac-add`
3×	`flip3-+` `fma-neg` `flip-+` `distribute-lft-out--`
2×	`pow1` `add-exp-log` `neg-sub0` `exp-neg` `expm1-log1p-u` `associate-+l-` `exp-diff` `diff-log` `add-cbrt-cube` `log1p-expm1-u`
1×	`+-commutative` `sub-neg` `associate-+l+` `flip3--` `flip--` `difference-of-squares`

Counts

2 → 57

Calls

2 calls:

5.0ms	(- (exp x) 2.0)
105.0ms	(+ (+ (- (exp x) 2.0) (fma (- 2.0) 1 2.0)) (exp (- x)))

series118.0ms

Counts

2 → 6

Calls

2 calls:

12.0ms	(- (exp x) 2.0)
105.0ms	(+ (+ (- (exp x) 2.0) (fma (- 2.0) 1 2.0)) (exp (- x)))

simplify41.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	338	570
1	1279	480
2	5001	466

prune128.0ms

Filtered

63 candidates to 40 candidates (63.5%)

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (exp x) 2.0)
0.1b	(pow (+ (+ (- (exp x) 2.0) (fma (- 2.0) 1 2.0)) (exp (- x))) 3)
0.3b	(cbrt (pow (+ (+ (- (exp x) 2.0) (fma (- 2.0) 1 2.0)) (exp (- x))) 3))
5.8b	(+ (+ (- (exp x) 2.0) (fma (- 2.0) 1 2.0)) (exp (- x)))

rewrite357.0ms

Algorithm

rewrite-expression-head

Rules

70×	`*-un-lft-identity`
27×	`distribute-lft-out`
20×	`add-sqr-sqrt`
18×	`cbrt-prod` `add-cube-cbrt`
15×	`add-log-exp`
12×	`cube-div` `unpow-prod-down` `cube-prod` `frac-add`
9×	`flip3-+` `prod-diff` `flip-+`
7×	`distribute-lft-out--`
6×	`neg-sub0` `exp-neg` `cbrt-div` `exp-diff`
5×	`pow1` `add-exp-log` `fma-def` `sum-log` `add-cbrt-cube`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`pow-unpow` `fma-neg`
2×	`cube-mult` `associate-+l-` `diff-log` `unpow3` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `sub-neg` `associate-+l+` `flip3--` `pow-pow` `pow1/3` `pow-exp` `flip--` `rem-cbrt-cube` `rem-cube-cbrt` `difference-of-squares`

Counts

4 → 129

Calls

4 calls:

5.0ms	(- (exp x) 2.0)
133.0ms	(pow (+ (+ (- (exp x) 2.0) (fma (- 2.0) 1 2.0)) (exp (- x))) 3)
109.0ms	(cbrt (pow (+ (+ (- (exp x) 2.0) (fma (- 2.0) 1 2.0)) (exp (- x))) 3))
106.0ms	(+ (+ (- (exp x) 2.0) (fma (- 2.0) 1 2.0)) (exp (- x)))

series371.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(- (exp x) 2.0)
144.0ms	(pow (+ (+ (- (exp x) 2.0) (fma (- 2.0) 1 2.0)) (exp (- x))) 3)
110.0ms	(cbrt (pow (+ (+ (- (exp x) 2.0) (fma (- 2.0) 1 2.0)) (exp (- x))) 3))
104.0ms	(+ (+ (- (exp x) 2.0) (fma (- 2.0) 1 2.0)) (exp (- x)))

simplify76.0ms

Algorithm

egg-herbie

Counts

141 → 141

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	527	1740
1	2225	1583
2	5001	1578

prune285.0ms

Filtered

141 candidates to 78 candidates (55.3%)

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes34.0ms

Accuracy

0% (0.6b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 0.7b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	5
1	11	5

end0.0ms

sample2.3s

Algorithm

intervals

Results

1.6s	5655×	body	1280	valid
193.0ms	1217×	body	640	valid
176.0ms	7993×	body	80	valid
59.0ms	622×	body	320	valid
19.0ms	322×	body	160	valid