Details

sample16.0ms

Algorithm

intervals

Results

8.0ms

256×

body

valid

simplify132.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 3 (6.0ms)

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

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.1b	(fma x (fma 0.04481 x 0.99229) 1.0)
0.1b	(* 0.70711 (fma 0.27061 x 2.30753))
11.4b	(/ (* 0.70711 (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-exp-log` `add-cbrt-cube`
9×	`add-sqr-sqrt`
7×	`add-cube-cbrt` `*-un-lft-identity`
5×	`pow1`
3×	`expm1-log1p-u` `times-frac` `associate-r` `associate-l` `associate-/r*` `fma-udef` `log1p-expm1-u` `add-log-exp`
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

3 → 55

Calls

3 calls:

1.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
3.0ms	(* 0.70711 (fma 0.27061 x 2.30753))
4.0ms	(/ (* 0.70711 (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0))

series150.0ms

Counts

3 → 9

Calls

3 calls:

25.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
51.0ms	(* 0.70711 (fma 0.27061 x 2.30753))
73.0ms	(/ (* 0.70711 (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0))

simplify33.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	238	335
1	1024	281
2	5002	281

prune168.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.1b	(fma x (fma 0.04481 x 0.99229) 1.0)
0.1b	(/ 0.70711 (/ (fma x (fma 0.04481 x 0.99229) 1.0) (fma 0.27061 x 2.30753)))
11.3b	(/ (fma x (fma 0.04481 x 0.99229) 1.0) (fma 0.27061 x 2.30753))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
53×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
16×	`associate-/r*`
10×	`add-exp-log` `add-cbrt-cube`
6×	`div-inv` `associate-/l*`
4×	`cbrt-undiv` `div-exp`
3×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`frac-2neg` `clear-num`
1×	`associate-/r/` `fma-udef`

Counts

3 → 111

Calls

3 calls:

1.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
6.0ms	(/ 0.70711 (/ (fma x (fma 0.04481 x 0.99229) 1.0) (fma 0.27061 x 2.30753)))
3.0ms	(/ (fma x (fma 0.04481 x 0.99229) 1.0) (fma 0.27061 x 2.30753))

series161.0ms

Counts

3 → 9

Calls

3 calls:

26.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
73.0ms	(/ 0.70711 (/ (fma x (fma 0.04481 x 0.99229) 1.0) (fma 0.27061 x 2.30753)))
62.0ms	(/ (fma x (fma 0.04481 x 0.99229) 1.0) (fma 0.27061 x 2.30753))

simplify56.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	449	1106
1	1869	1036
2	5002	1035

prune376.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (fma 0.27061 x 2.30753) (sqrt (fma x (fma 0.04481 x 0.99229) 1.0)))
0.2b	(/ (sqrt (fma x (fma 0.04481 x 0.99229) 1.0)) (/ (fma 0.27061 x 2.30753) (sqrt (fma x (fma 0.04481 x 0.99229) 1.0))))
11.3b	(sqrt (fma x (fma 0.04481 x 0.99229) 1.0))
11.3b	(sqrt (fma x (fma 0.04481 x 0.99229) 1.0))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

276×	`times-frac`
160×	`add-sqr-sqrt`
158×	`add-cube-cbrt` `*-un-lft-identity`
150×	`sqrt-prod`
28×	`associate-/r*`
11×	`add-exp-log` `add-cbrt-cube`
9×	`div-inv` `associate-/l*`
6×	`pow1`
4×	`cbrt-undiv` `expm1-log1p-u` `div-exp` `log1p-expm1-u` `add-log-exp`
2×	`rem-sqrt-square` `frac-2neg` `sqrt-pow1` `pow1/2` `clear-num`
1×	`associate-/r/`

Counts

4 → 248

Calls

4 calls:

5.0ms	(/ (fma 0.27061 x 2.30753) (sqrt (fma x (fma 0.04481 x 0.99229) 1.0)))
10.0ms	(/ (sqrt (fma x (fma 0.04481 x 0.99229) 1.0)) (/ (fma 0.27061 x 2.30753) (sqrt (fma x (fma 0.04481 x 0.99229) 1.0))))
2.0ms	(sqrt (fma x (fma 0.04481 x 0.99229) 1.0))
2.0ms	(sqrt (fma x (fma 0.04481 x 0.99229) 1.0))

series409.0ms

Counts

4 → 12

Calls

4 calls:

166.0ms	(/ (fma 0.27061 x 2.30753) (sqrt (fma x (fma 0.04481 x 0.99229) 1.0)))
63.0ms	(/ (sqrt (fma x (fma 0.04481 x 0.99229) 1.0)) (/ (fma 0.27061 x 2.30753) (sqrt (fma x (fma 0.04481 x 0.99229) 1.0))))
87.0ms	(sqrt (fma x (fma 0.04481 x 0.99229) 1.0))
92.0ms	(sqrt (fma x (fma 0.04481 x 0.99229) 1.0))

simplify117.0ms

Algorithm

egg-herbie

Counts

260 → 260

Iterations

Useful iterations: 2 (73.0ms)

Iter	Nodes	Cost
0	781	4027
1	3702	3668
2	5001	3617

prune645.0ms

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	14	7

end0.0ms

sample363.0ms

Algorithm

intervals

Results

273.0ms

8000×

body

valid