Details

sample19.0ms

Algorithm

intervals

Results

9.0ms

256×

body

valid

simplify136.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 3 (7.0ms)

Iter	Nodes	Cost
0	31	9
1	59	9
2	90	9
3	116	7
4	130	7
5	148	7
6	188	7
7	264	7
8	304	7
9	377	7
10	580	7
11	851	7
12	1402	7
13	2787	7
14	3168	7
15	4321	7
16	5001	7

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma (- x) 0.70711 (/ (* 0.70711 (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0)))
0.0b	(fma x (fma 0.04481 x 0.99229) 1.0)
0.1b	(* 0.70711 (fma 0.27061 x 2.30753))
17.1b	(/ (* 0.70711 (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-exp-log` `add-cbrt-cube`
10×	`add-sqr-sqrt`
8×	`add-cube-cbrt` `*-un-lft-identity`
6×	`pow1`
4×	`expm1-log1p-u` `fma-udef` `log1p-expm1-u` `add-log-exp`
3×	`times-frac` `associate-r` `associate-l` `associate-/r*`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod`
1×	`distribute-rgt-in` `frac-2neg` `distribute-lft-in` `pow-prod-down` `clear-num` `-commutative` `div-inv` `associate-/l` `unswap-sqr`

Counts

4 → 65

Calls

4 calls:

0.0ms	(fma (- x) 0.70711 (/ (* 0.70711 (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0)))
0.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
7.0ms	(* 0.70711 (fma 0.27061 x 2.30753))
10.0ms	(/ (* 0.70711 (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0))

series219.0ms

Counts

4 → 12

Calls

4 calls:

71.0ms	(fma (- x) 0.70711 (/ (* 0.70711 (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0)))
24.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
53.0ms	(* 0.70711 (fma 0.27061 x 2.30753))
71.0ms	(/ (* 0.70711 (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0))

simplify37.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	272	452
1	1121	382
2	5002	382

prune213.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (sqrt 0.70711) (sqrt (fma 0.27061 x 2.30753)))
0.5b	(* (sqrt 0.70711) (sqrt (fma 0.27061 x 2.30753)))
0.6b	(* (* (sqrt 0.70711) (sqrt (fma 0.27061 x 2.30753))) (* (sqrt 0.70711) (sqrt (fma 0.27061 x 2.30753))))
7.8b	(/ (* (* (sqrt 0.70711) (sqrt (fma 0.27061 x 2.30753))) (* (sqrt 0.70711) (sqrt (fma 0.27061 x 2.30753)))) (fma x (fma 0.04481 x 0.99229) 1.0))

rewrite140.0ms

Algorithm

rewrite-expression-head

Rules

67×	`pow1`
41×	`pow-prod-down`
38×	`add-exp-log` `add-cbrt-cube`
30×	`add-sqr-sqrt`
20×	`sqrt-pow1` `pow1/2` `sqrt-prod`
18×	`prod-exp` `cbrt-unprod`
14×	`add-cube-cbrt` `*-un-lft-identity`
13×	`associate-r` `associate-l`
8×	`pow-prod-up` `unswap-sqr`
7×	`sqrt-unprod`
6×	`pow-sqr`
5×	`cbrt-undiv` `div-exp`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`times-frac` `associate-/r` `-commutative`
2×	`pow-plus`
1×	`pow2` `frac-2neg` `swap-sqr` `clear-num` `rem-square-sqrt` `div-inv` `associate-/l*`

Counts

4 → 139

Calls

4 calls:

14.0ms	(* (sqrt 0.70711) (sqrt (fma 0.27061 x 2.30753)))
13.0ms	(* (sqrt 0.70711) (sqrt (fma 0.27061 x 2.30753)))
52.0ms	(* (* (sqrt 0.70711) (sqrt (fma 0.27061 x 2.30753))) (* (sqrt 0.70711) (sqrt (fma 0.27061 x 2.30753))))
56.0ms	(/ (* (* (sqrt 0.70711) (sqrt (fma 0.27061 x 2.30753))) (* (sqrt 0.70711) (sqrt (fma 0.27061 x 2.30753)))) (fma x (fma 0.04481 x 0.99229) 1.0))

series401.0ms

Counts

4 → 12

Calls

4 calls:

80.0ms	(* (sqrt 0.70711) (sqrt (fma 0.27061 x 2.30753)))
75.0ms	(* (sqrt 0.70711) (sqrt (fma 0.27061 x 2.30753)))
111.0ms	(* (* (sqrt 0.70711) (sqrt (fma 0.27061 x 2.30753))) (* (sqrt 0.70711) (sqrt (fma 0.27061 x 2.30753))))
135.0ms	(/ (* (* (sqrt 0.70711) (sqrt (fma 0.27061 x 2.30753))) (* (sqrt 0.70711) (sqrt (fma 0.27061 x 2.30753)))) (fma x (fma 0.04481 x 0.99229) 1.0))

simplify83.0ms

Algorithm

egg-herbie

Counts

151 → 151

Iterations

Useful iterations: 2 (64.0ms)

Iter	Nodes	Cost
0	437	1113
1	2380	888
2	5002	841

prune353.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes13.0ms

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	7
1	15	7

end0.0ms

sample398.0ms

Algorithm

intervals

Results

279.0ms

8000×

body

valid