Details

sample20.0ms

Algorithm

intervals

Results

11.0ms

256×

body

valid

simplify138.0ms

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

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

2 alts after pruning (2 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))
14.0b	(/ (* 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

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))

series220.0ms

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)))
25.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
52.0ms	(* 0.70711 (fma 0.27061 x 2.30753))
72.0ms	(/ (* 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

prune197.0ms

Filtered

77 candidates to 59 candidates (76.6%)

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma x (fma 0.04481 x 0.99229) 1.0)
0.2b	(* (sqrt 0.70711) (* (sqrt 0.70711) (fma 0.27061 x 2.30753)))
0.2b	(* (sqrt 0.70711) (fma 0.27061 x 2.30753))
14.0b	(/ (* (sqrt 0.70711) (* (sqrt 0.70711) (fma 0.27061 x 2.30753))) (fma x (fma 0.04481 x 0.99229) 1.0))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 88

Calls

4 calls:

0.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
11.0ms	(* (sqrt 0.70711) (* (sqrt 0.70711) (fma 0.27061 x 2.30753)))
5.0ms	(* (sqrt 0.70711) (fma 0.27061 x 2.30753))
14.0ms	(/ (* (sqrt 0.70711) (* (sqrt 0.70711) (fma 0.27061 x 2.30753))) (fma x (fma 0.04481 x 0.99229) 1.0))

series434.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
125.0ms	(* (sqrt 0.70711) (* (sqrt 0.70711) (fma 0.27061 x 2.30753)))
102.0ms	(* (sqrt 0.70711) (fma 0.27061 x 2.30753))
182.0ms	(/ (* (sqrt 0.70711) (* (sqrt 0.70711) (fma 0.27061 x 2.30753))) (fma x (fma 0.04481 x 0.99229) 1.0))

simplify53.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	339	653
1	1706	515
2	5001	500

prune240.0ms

Filtered

100 candidates to 66 candidates (66.0%)

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (/ (* 0.70711 (fma 0.27061 x 2.30753)) (sqrt (fma x (fma 0.04481 x 0.99229) 1.0))) (sqrt (fma x (fma 0.04481 x 0.99229) 1.0)))
0.3b	(/ (* 0.70711 (fma 0.27061 x 2.30753)) (sqrt (fma x (fma 0.04481 x 0.99229) 1.0)))
14.0b	(sqrt (fma x (fma 0.04481 x 0.99229) 1.0))
14.0b	(sqrt (fma x (fma 0.04481 x 0.99229) 1.0))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

108×	`times-frac`
66×	`sqrt-prod`
55×	`add-sqr-sqrt`
53×	`add-cube-cbrt` `*-un-lft-identity`
18×	`add-exp-log` `add-cbrt-cube`
12×	`associate-/r*`
11×	`associate-/l*`
9×	`div-inv`
7×	`cbrt-undiv` `div-exp`
6×	`pow1`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`rem-sqrt-square` `frac-2neg` `sqrt-pow1` `pow1/2` `prod-exp` `clear-num` `cbrt-unprod`
1×	`associate-/l/`

Counts

4 → 154

Calls

4 calls:

8.0ms	(/ (/ (* 0.70711 (fma 0.27061 x 2.30753)) (sqrt (fma x (fma 0.04481 x 0.99229) 1.0))) (sqrt (fma x (fma 0.04481 x 0.99229) 1.0)))
4.0ms	(/ (* 0.70711 (fma 0.27061 x 2.30753)) (sqrt (fma x (fma 0.04481 x 0.99229) 1.0)))
1.0ms	(sqrt (fma x (fma 0.04481 x 0.99229) 1.0))
1.0ms	(sqrt (fma x (fma 0.04481 x 0.99229) 1.0))

series470.0ms

Counts

4 → 12

Calls

4 calls:

77.0ms	(/ (/ (* 0.70711 (fma 0.27061 x 2.30753)) (sqrt (fma x (fma 0.04481 x 0.99229) 1.0))) (sqrt (fma x (fma 0.04481 x 0.99229) 1.0)))
216.0ms	(/ (* 0.70711 (fma 0.27061 x 2.30753)) (sqrt (fma x (fma 0.04481 x 0.99229) 1.0)))
88.0ms	(sqrt (fma x (fma 0.04481 x 0.99229) 1.0))
89.0ms	(sqrt (fma x (fma 0.04481 x 0.99229) 1.0))

simplify74.0ms

Algorithm

egg-herbie

Counts

166 → 166

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	651	2155
1	2624	1898
2	5001	1887

prune448.0ms

Filtered

166 candidates to 104 candidates (62.7%)

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	18	10
1	18	10

end0.0ms

sample360.0ms

Algorithm

intervals

Results

269.0ms

8000×

body

valid