Details

sample257.0ms

Algorithm

intervals

Results

5.0ms	69×	body	1280	valid
3.0ms	185×	body	80	valid
3.0ms	49×	body	640	valid
1.0ms	24×	body	320	valid
0.0ms	14×	body	160	valid

simplify81.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	4
1	40	4
2	123	4
3	279	4
4	490	4
5	713	4
6	1046	4
7	2001	4
8	3844	4
9	5001	4

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 36.5b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (+ x 1.0) (+ x 1.0))
3.8b	(- (* (+ x 1.0) (+ x 1.0)) 1.0)

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

21×	`*-un-lft-identity`
10×	`add-sqr-sqrt`
9×	`pow1`
7×	`add-cube-cbrt`
6×	`flip3-+` `swap-sqr` `flip-+` `distribute-lft-out`
4×	`add-exp-log` `frac-times` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
3×	`prod-diff`
2×	`distribute-rgt-in` `expm1-log1p-u` `distribute-lft-in` `associate-r/` `associate-l/` `associate--l+` `log1p-expm1-u`
1×	`pow2` `sub-neg` `flip3--` `pow-plus` `fma-neg` `diff-log` `pow-prod-down` `prod-exp` `pow-sqr` `*-commutative` `pow-prod-up` `flip--` `cbrt-unprod` `difference-of-squares` `unswap-sqr`

Counts

2 → 63

Calls

2 calls:

17.0ms	(* (+ x 1.0) (+ x 1.0))
11.0ms	(- (* (+ x 1.0) (+ x 1.0)) 1.0)

series91.0ms

Counts

2 → 6

Calls

2 calls:

16.0ms	(* (+ x 1.0) (+ x 1.0))
75.0ms	(- (* (+ x 1.0) (+ x 1.0)) 1.0)

simplify49.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	281	350
1	1394	305
2	5001	297

prune90.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b	(fma x 2.0 (pow x 2))

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 x 2.0 (pow x 2))

series57.0ms

Counts

1 → 3

Calls

1 calls:

57.0ms

(fma x 2.0 (pow x 2))

simplify46.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	24	43
1	67	38
2	263	38
3	1043	38
4	5001	38

prune24.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (+ x 1.0) (sqrt 1.0))
0.0b	(* (+ (+ x 1.0) (sqrt 1.0)) (- (+ x 1.0) (sqrt 1.0)))
3.9b	(- (+ x 1.0) (sqrt 1.0))

rewrite149.0ms

Algorithm

rewrite-expression-head

Rules

109×	`*-un-lft-identity`
72×	`prod-diff`
59×	`add-sqr-sqrt`
49×	`add-cube-cbrt`
38×	`sqrt-prod`
28×	`distribute-lft-out`
27×	`distribute-rgt-in` `distribute-lft-in`
13×	`add-log-exp`
7×	`associate-r`
5×	`pow1` `add-exp-log` `associate-l` `add-cbrt-cube`
4×	`frac-times` `flip3--` `fma-def` `flip3-+` `fma-neg` `sum-log` `flip--` `flip-+` `distribute-lft-out--` `difference-of-squares`
3×	`expm1-log1p-u` `sub-neg` `associate--l+` `log1p-expm1-u`
2×	`diff-log` `associate-r/` `associate-l/`
1×	`+-commutative` `associate-+l+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

3 → 157

Calls

3 calls:

17.0ms	(+ (+ x 1.0) (sqrt 1.0))
97.0ms	(* (+ (+ x 1.0) (sqrt 1.0)) (- (+ x 1.0) (sqrt 1.0)))
27.0ms	(- (+ x 1.0) (sqrt 1.0))

series157.0ms

Counts

3 → 9

Calls

3 calls:

43.0ms	(+ (+ x 1.0) (sqrt 1.0))
63.0ms	(* (+ (+ x 1.0) (sqrt 1.0)) (- (+ x 1.0) (sqrt 1.0)))
51.0ms	(- (+ x 1.0) (sqrt 1.0))

simplify89.0ms

Algorithm

egg-herbie

Counts

166 → 166

Iterations

Useful iterations: 2 (68.0ms)

Iter	Nodes	Cost
0	522	2375
1	3152	1713
2	5002	1631

prune162.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes20.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	2

end0.0ms

sample483.0ms

Algorithm

intervals

Results

149.0ms	2210×	body	1280	valid
86.0ms	5563×	body	80	valid
84.0ms	1618×	body	640	valid
34.0ms	853×	body	320	valid
12.0ms	434×	body	160	valid