Details

sample21.0ms

Algorithm

intervals

Results

9.0ms

256×

body

valid

simplify133.0ms

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

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)))
0.1b	(fma x (fma 0.04481 x 0.99229) 1.0)
0.1b	(* 0.70711 (fma 0.27061 x 2.30753))
17.6b	(/ (* 0.70711 (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0))

rewrite9.0ms

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)
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))

series231.0ms

Counts

4 → 12

Calls

4 calls:

75.0ms	(fma (- x) 0.70711 (/ (* 0.70711 (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0)))
25.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
55.0ms	(* 0.70711 (fma 0.27061 x 2.30753))
75.0ms	(/ (* 0.70711 (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0))

simplify38.0ms

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:

0.1b	(pow (* 0.70711 (fma 0.27061 x 2.30753)) 3)
0.1b	(* 0.70711 (fma 0.27061 x 2.30753))
17.6b	(/ (cbrt (pow (* 0.70711 (fma 0.27061 x 2.30753)) 3)) (fma x (fma 0.04481 x 0.99229) 1.0))
21.0b	(cbrt (pow (* 0.70711 (fma 0.27061 x 2.30753)) 3))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

40×	`cbrt-prod`
33×	`times-frac`
30×	`add-sqr-sqrt`
28×	`add-cube-cbrt` `*-un-lft-identity`
11×	`add-exp-log` `associate-/l*`
10×	`add-cbrt-cube`
9×	`pow1`
6×	`cube-mult` `unpow-prod-down` `unpow3` `cube-prod` `sqr-pow`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow` `associate-r` `associate-l` `associate-/r*`
2×	`pow-pow` `pow-prod-down` `pow-exp` `prod-exp` `cbrt-unprod` `fma-udef` `rem-cube-cbrt`
1×	`cbrt-undiv` `distribute-rgt-in` `pow-to-exp` `frac-2neg` `distribute-lft-in` `pow1/3` `div-exp` `clear-num` `*-commutative` `rem-cbrt-cube` `div-inv` `unswap-sqr`

Counts

4 → 126

Calls

4 calls:

2.0ms	(pow (* 0.70711 (fma 0.27061 x 2.30753)) 3)
3.0ms	(* 0.70711 (fma 0.27061 x 2.30753))
8.0ms	(/ (cbrt (pow (* 0.70711 (fma 0.27061 x 2.30753)) 3)) (fma x (fma 0.04481 x 0.99229) 1.0))
1.0ms	(cbrt (pow (* 0.70711 (fma 0.27061 x 2.30753)) 3))

series219.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(pow (* 0.70711 (fma 0.27061 x 2.30753)) 3)
54.0ms	(* 0.70711 (fma 0.27061 x 2.30753))
76.0ms	(/ (cbrt (pow (* 0.70711 (fma 0.27061 x 2.30753)) 3)) (fma x (fma 0.04481 x 0.99229) 1.0))
49.0ms	(cbrt (pow (* 0.70711 (fma 0.27061 x 2.30753)) 3))

simplify60.0ms

Algorithm

egg-herbie

Counts

138 → 138

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	345	1010
1	1432	926
2	5001	913

prune404.0ms

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

sample408.0ms

Algorithm

intervals

Results

314.0ms

8000×

body

valid