Details

sample21.0ms

Algorithm

intervals

Results

11.0ms

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	5002	7

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize12.0ms

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))
13.7b	(/ (* 0.70711 (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0))

rewrite18.0ms

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:

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))

series140.0ms

Counts

3 → 9

Calls

3 calls:

23.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
50.0ms	(* 0.70711 (fma 0.27061 x 2.30753))
67.0ms	(/ (* 0.70711 (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0))

simplify35.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 1 (7.0ms)

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

prune172.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (/ 0.70711 (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))))
0.1b	(/ 0.70711 (sqrt (fma x (fma 0.04481 x 0.99229) 1.0)))
13.6b	(sqrt (fma x (fma 0.04481 x 0.99229) 1.0))
13.6b	(sqrt (fma x (fma 0.04481 x 0.99229) 1.0))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

79×	`add-sqr-sqrt`
66×	`times-frac`
47×	`add-cube-cbrt` `*-un-lft-identity`
42×	`sqrt-prod`
22×	`associate-r` `associate-l`
18×	`add-exp-log` `add-cbrt-cube`
9×	`unswap-sqr`
8×	`pow1`
6×	`associate-/r*`
5×	`cbrt-undiv` `div-exp`
4×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
3×	`div-inv` `associate-/l*`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`
1×	`frac-times` `frac-2neg` `associate-r/` `pow-prod-down` `associate-l/` `clear-num` `*-commutative`

Counts

4 → 146

Calls

4 calls:

34.0ms	(* (/ 0.70711 (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))))
6.0ms	(/ 0.70711 (sqrt (fma x (fma 0.04481 x 0.99229) 1.0)))
1.0ms	(sqrt (fma x (fma 0.04481 x 0.99229) 1.0))
2.0ms	(sqrt (fma x (fma 0.04481 x 0.99229) 1.0))

series361.0ms

Counts

4 → 12

Calls

4 calls:

69.0ms	(* (/ 0.70711 (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))))
134.0ms	(/ 0.70711 (sqrt (fma x (fma 0.04481 x 0.99229) 1.0)))
81.0ms	(sqrt (fma x (fma 0.04481 x 0.99229) 1.0))
77.0ms	(sqrt (fma x (fma 0.04481 x 0.99229) 1.0))

simplify75.0ms

Algorithm

egg-herbie

Counts

158 → 158

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	657	1684
1	2901	1545
2	5002	1476

prune513.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes16.0ms

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

sample384.0ms

Algorithm

intervals

Results

262.0ms

8000×

body

valid