Details

sample29.0ms

Algorithm

intervals

Results

14.0ms

256×

body

valid

simplify143.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 3 (9.0ms)

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

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma x (fma 0.04481 x 0.99229) 1.0)
0.1b	(* 0.70711 (fma 0.27061 x 2.30753))
16.0b	(/ (* 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

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)
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))

series156.0ms

Counts

3 → 9

Calls

3 calls:

28.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
52.0ms	(* 0.70711 (fma 0.27061 x 2.30753))
76.0ms	(/ (* 0.70711 (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0))

simplify36.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 1 (7.0ms)

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

prune162.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma x (fma 0.04481 x 0.99229) 1.0)
0.1b	(* 0.70711 (/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0)))
16.0b	(/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
19×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
13×	`associate-r`
10×	`add-exp-log` `add-cbrt-cube`
5×	`pow1`
3×	`expm1-log1p-u` `associate-l` `associate-/r` `log1p-expm1-u` `associate-/l` `add-log-exp`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr`
1×	`frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `-commutative` `fma-udef`

Counts

3 → 73

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

series158.0ms

Counts

3 → 9

Calls

3 calls:

25.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
70.0ms	(* 0.70711 (/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0)))
63.0ms	(/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))

simplify43.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	303	577
1	1208	512
2	5001	512

prune222.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b	(* 0.70711 (/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0)))
0.1b	(pow (* 0.70711 (/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))) 3)
16.0b	(/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))
20.4b	(cbrt (pow (* 0.70711 (/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))) 3))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt`
22×	`add-cube-cbrt` `*-un-lft-identity`
19×	`times-frac`
17×	`add-exp-log` `add-cbrt-cube`
13×	`associate-r`
9×	`pow1`
8×	`cbrt-prod`
4×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `pow-unpow` `associate-r/` `div-exp` `associate-l` `pow-exp` `associate-/r` `associate-/l*` `rem-cube-cbrt`
2×	`cube-div` `cube-mult` `unpow-prod-down` `pow-pow` `unpow3` `cube-prod` `pow-prod-down` `div-inv` `unswap-sqr` `sqr-pow`
1×	`pow-to-exp` `cbrt-div` `frac-2neg` `pow1/3` `clear-num` `*-commutative` `rem-cbrt-cube`

Counts

4 → 110

Calls

4 calls:

7.0ms	(* 0.70711 (/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0)))
6.0ms	(pow (* 0.70711 (/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))) 3)
2.0ms	(/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))
1.0ms	(cbrt (pow (* 0.70711 (/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))) 3))

series297.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(* 0.70711 (/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0)))
99.0ms	(pow (* 0.70711 (/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))) 3)
60.0ms	(/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))
70.0ms	(cbrt (pow (* 0.70711 (/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))) 3))

simplify64.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	439	875
1	1884	833
2	5001	832

prune381.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes14.0ms

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

sample369.0ms

Algorithm

intervals

Results

272.0ms

8000×

body

valid