Details

sample18.0ms

Algorithm

intervals

Results

9.0ms

256×

body

valid

simplify9.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	28	8
1	50	8
2	69	8
3	75	8
4	75	8

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 2.30753 (* x 0.27061))
0.0b	(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
0.1b	(* x (+ 0.99229 (* x 0.04481)))
12.0b	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

65×	`add-sqr-sqrt`
60×	`*-un-lft-identity`
58×	`add-cube-cbrt`
46×	`times-frac`
45×	`prod-diff`
15×	`fma-neg`
10×	`associate-/r/`
8×	`add-exp-log` `flip3-+` `add-cbrt-cube` `flip-+` `add-log-exp`
6×	`pow1`
5×	`div-inv`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`fma-def` `associate-r` `associate-l` `associate-/r` `associate-/l`
2×	`associate-*r/` `associate-/l/` `difference-of-squares`
1×	`cbrt-undiv` `+-commutative` `distribute-rgt-in` `sub-neg` `flip3--` `frac-2neg` `distribute-lft-in` `diff-log` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `sum-log` `*-commutative` `flip--` `cbrt-unprod` `distribute-lft-out--` `unswap-sqr`

Counts

4 → 150

Calls

4 calls:

2.0ms	(+ 2.30753 (* x 0.27061))
44.0ms	(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
7.0ms	(* x (+ 0.99229 (* x 0.04481)))
9.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series252.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(+ 2.30753 (* x 0.27061))
88.0ms	(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
63.0ms	(* x (+ 0.99229 (* x 0.04481)))
62.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify85.0ms

Algorithm

egg-herbie

Counts

162 → 162

Iterations

Useful iterations: 2 (67.0ms)

Iter	Nodes	Cost
0	607	2052
1	2430	1584
2	5002	1517

prune359.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ 1 (/ (fma x (fma 0.04481 x 0.99229) 1.0) (fma 0.27061 x 2.30753))) x)
0.1b	(fma x (fma 0.04481 x 0.99229) 1.0)
0.1b	(/ 1 (/ (fma x (fma 0.04481 x 0.99229) 1.0) (fma 0.27061 x 2.30753)))
12.0b	(/ (fma x (fma 0.04481 x 0.99229) 1.0) (fma 0.27061 x 2.30753))

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

354×	`times-frac`
252×	`add-sqr-sqrt`
243×	`*-un-lft-identity`
238×	`add-cube-cbrt`
132×	`prod-diff`
44×	`fma-neg`
23×	`div-inv`
17×	`add-exp-log`
16×	`associate-/r*`
11×	`add-cbrt-cube`
8×	`div-exp`
6×	`associate-/l*` `add-log-exp`
5×	`pow1` `associate-/r/` `difference-of-squares`
4×	`cbrt-undiv` `expm1-log1p-u` `log1p-expm1-u`
2×	`rec-exp` `frac-2neg` `1-exp` `clear-num` `distribute-lft-out--`
1×	`sub-neg` `flip3--` `pow-flip` `diff-log` `flip--` `fma-udef` `inv-pow`

Counts

4 → 314

Calls

4 calls:

49.0ms	(- (/ 1 (/ (fma x (fma 0.04481 x 0.99229) 1.0) (fma 0.27061 x 2.30753))) x)
0.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
5.0ms	(/ 1 (/ (fma x (fma 0.04481 x 0.99229) 1.0) (fma 0.27061 x 2.30753)))
2.0ms	(/ (fma x (fma 0.04481 x 0.99229) 1.0) (fma 0.27061 x 2.30753))

series216.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(- (/ 1 (/ (fma x (fma 0.04481 x 0.99229) 1.0) (fma 0.27061 x 2.30753))) x)
27.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
67.0ms	(/ 1 (/ (fma x (fma 0.04481 x 0.99229) 1.0) (fma 0.27061 x 2.30753)))
61.0ms	(/ (fma x (fma 0.04481 x 0.99229) 1.0) (fma 0.27061 x 2.30753))

simplify104.0ms

Algorithm

egg-herbie

Counts

326 → 326

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	827	4586
1	3031	3152
2	5001	3069

prune532.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma x (fma 0.04481 x 0.99229) 1.0)
0.1b	(/ 1 (fma 0.27061 x 2.30753))
0.1b	(/ (sqrt 1) (/ 1 (fma 0.27061 x 2.30753)))
0.4b	(/ (sqrt 1) (fma x (fma 0.04481 x 0.99229) 1.0))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

168×	`times-frac`
104×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
54×	`sqrt-prod`
19×	`add-exp-log` `associate-/r*`
15×	`associate-/l*`
13×	`add-cbrt-cube`
10×	`div-inv`
9×	`div-exp`
5×	`pow1` `cbrt-undiv`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`frac-2neg` `clear-num`
2×	`rec-exp` `1-exp`
1×	`pow-flip` `associate-/r/` `fma-udef` `inv-pow`

Counts

4 → 200

Calls

4 calls:

0.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
2.0ms	(/ 1 (fma 0.27061 x 2.30753))
7.0ms	(/ (sqrt 1) (/ 1 (fma 0.27061 x 2.30753)))
3.0ms	(/ (sqrt 1) (fma x (fma 0.04481 x 0.99229) 1.0))

series146.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
36.0ms	(/ 1 (fma 0.27061 x 2.30753))
33.0ms	(/ (sqrt 1) (/ 1 (fma 0.27061 x 2.30753)))
51.0ms	(/ (sqrt 1) (fma x (fma 0.04481 x 0.99229) 1.0))

simplify81.0ms

Algorithm

egg-herbie

Counts

212 → 212

Iterations

Useful iterations: 2 (63.0ms)

Iter	Nodes	Cost
0	571	1717
1	2680	1593
2	5001	1281

prune448.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes12.0ms

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	15	6
1	15	6

end0.0ms

sample361.0ms

Algorithm

intervals

Results

269.0ms

8000×

body

valid