Details

sample76.0ms

Algorithm

intervals

Results

53.0ms	180×	body	1280	valid
6.0ms	38×	body	640	valid
5.0ms	234×	body	80	valid
1.0ms	17×	body	320	valid
1.0ms	9×	body	160	valid

simplify219.0ms

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

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: 28.3b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (exp x) 2.0)
4.8b	(+ (- (exp x) 2.0) (exp (- x)))

rewrite15.0ms

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:

4.0ms	(- (exp x) 2.0)
9.0ms	(+ (- (exp x) 2.0) (exp (- x)))

series71.0ms

Counts

2 → 6

Calls

2 calls:

13.0ms	(- (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

prune187.0ms

Filtered

71 candidates to 51 candidates (71.8%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	67	4	71
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	68	4	72

Merged error: 0.0b

Counts

72 → 4

localize15.0ms

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:

1.0ms	(fma 1/360 (pow x 6) (* 1/12 (pow x 4)))
5.0ms	(* 1/12 (pow x 4))

series167.0ms

Counts

2 → 6

Calls

2 calls:

129.0ms	(fma 1/360 (pow x 6) (* 1/12 (pow x 4)))
38.0ms	(* 1/12 (pow x 4))

simplify85.0ms

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

prune84.0ms

Filtered

43 candidates to 29 candidates (67.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	43	0	43
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	43	4	47

Merged error: 0.0b

Counts

47 → 4

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(- 2.0 (exp (- x)))
4.3b	(- (exp x) (- 2.0 (exp (- x))))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

37×	`*-un-lft-identity`
34×	`add-sqr-sqrt`
33×	`prod-diff`
24×	`add-cube-cbrt`
11×	`associate--r+`
9×	`add-log-exp`
7×	`distribute-lft-out--`
6×	`fma-neg`
5×	`difference-of-squares`
4×	`diff-log`
3×	`sub-neg`
2×	`pow1` `add-exp-log` `expm1-log1p-u` `flip3--` `add-cbrt-cube` `flip--` `log1p-expm1-u`
1×	`associate--r-`

Counts

2 → 76

Calls

2 calls:

4.0ms	(- 2.0 (exp (- x)))
8.0ms	(- (exp x) (- 2.0 (exp (- x))))

series72.0ms

Counts

2 → 6

Calls

2 calls:

13.0ms	(- 2.0 (exp (- x)))
59.0ms	(- (exp x) (- 2.0 (exp (- x))))

simplify38.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	334	1032
1	1000	687
2	5001	583

prune110.0ms

Filtered

82 candidates to 45 candidates (54.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	80	2	82
Fresh	1	1	2
Picked	1	0	1
Done	0	1	1
Total	82	4	86

Merged error: 0.0b

Counts

86 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 2.0 (exp (- x)))
0.0b	(- 2.0 (exp (- x)))
0.0b	(- 2.0 (exp (- x)))
5.1b	(fma (- (- 2.0 (exp (- x)))) (- 2.0 (exp (- x))) (exp (+ x x)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-sqr-sqrt` `*-un-lft-identity`
27×	`prod-diff`
25×	`add-cube-cbrt`
10×	`add-log-exp`
9×	`fma-neg`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u`
3×	`sub-neg` `flip3--` `diff-log` `flip--` `distribute-lft-out--` `difference-of-squares`
1×	`fma-udef`

Counts

4 → 94

Calls

4 calls:

5.0ms	(- 2.0 (exp (- x)))
5.0ms	(- 2.0 (exp (- x)))
5.0ms	(- 2.0 (exp (- x)))
1.0ms	(fma (- (- 2.0 (exp (- x)))) (- 2.0 (exp (- x))) (exp (+ x x)))

series129.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(- 2.0 (exp (- x)))
18.0ms	(- 2.0 (exp (- x)))
13.0ms	(- 2.0 (exp (- x)))
84.0ms	(fma (- (- 2.0 (exp (- x)))) (- 2.0 (exp (- x))) (exp (+ x x)))

simplify126.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 3 (116.0ms)

Iter	Nodes	Cost
0	228	1099
1	687	715
2	3728	712
3	5001	694

prune216.0ms

Filtered

106 candidates to 69 candidates (65.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	105	1	106
Fresh	0	2	2
Picked	1	0	1
Done	0	1	1
Total	106	4	110

Merged error: 0.0b

Counts

110 → 4

regimes20.0ms

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	11	5
1	11	5

end0.0ms

sample2.3s

Algorithm

intervals

Results

1.6s	5661×	body	1280	valid
192.0ms	1239×	body	640	valid
174.0ms	7877×	body	80	valid
59.0ms	624×	body	320	valid
18.0ms	310×	body	160	valid