Details

sample21.0ms

Algorithm

intervals

Results

11.0ms

256×

body

valid

simplify3.1s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
10	1555
9	475
8	221
7	170
6	142
5	120
4	106
3	68
2	39
1	22
0	14

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (/ (fma 0.27061 x 2.30753) (fma (fma x 0.04481 0.99229) x 1.0)))
0.1b	(fma (fma x 0.04481 0.99229) x 1.0)
12.3b	(/ (fma 0.27061 x 2.30753) (fma (fma x 0.04481 0.99229) x 1.0))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

51×	`add-sqr-sqrt`
48×	`*-un-lft-identity`
46×	`add-cube-cbrt`
39×	`prod-diff`
37×	`times-frac`
5×	`add-cbrt-cube` `add-exp-log` `add-log-exp`
4×	`div-inv`
3×	`expm1-log1p-u` `pow1` `associate-/r` `fma-neg` `log1p-expm1-u` `associate-/l`
2×	`difference-of-squares`
1×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `flip3--` `diff-log` `div-exp` `fma-udef` `flip--` `distribute-lft-out--`

Counts

3 → 98

Calls

3 calls:

14.0ms	(- x (/ (fma 0.27061 x 2.30753) (fma (fma x 0.04481 0.99229) x 1.0)))
0.0ms	(fma (fma x 0.04481 0.99229) x 1.0)
4.0ms	(/ (fma 0.27061 x 2.30753) (fma (fma x 0.04481 0.99229) x 1.0))

series267.0ms

Counts

3 → 9

Calls

3 calls:

90.0ms	(- x (/ (fma 0.27061 x 2.30753) (fma (fma x 0.04481 0.99229) x 1.0)))
56.0ms	(fma (fma x 0.04481 0.99229) x 1.0)
120.0ms	(/ (fma 0.27061 x 2.30753) (fma (fma x 0.04481 0.99229) x 1.0))

simplify2.0s

Counts

107 → 107

Iterations

Iter	Nodes
done	5000
2	1977
1	498
0	209

prune438.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (sqrt (fma x (fma 0.04481 x 0.99229) 1.0)) (sqrt (fma x (fma 0.04481 x 0.99229) 1.0)))
12.2b	(sqrt (fma x (fma 0.04481 x 0.99229) 1.0))
12.2b	(sqrt (fma x (fma 0.04481 x 0.99229) 1.0))
12.3b	(/ (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))))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

30×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`pow1`
16×	`*-un-lft-identity` `add-cube-cbrt`
11×	`add-cbrt-cube` `add-exp-log`
10×	`sqrt-pow1` `pow1/2`
8×	`swap-sqr`
6×	`associate-r` `associate-l`
5×	`pow-prod-up`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`times-frac` `pow-prod-down` `pow-sqr` `associate-/l*`
2×	`cbrt-undiv` `rem-sqrt-square` `div-exp` `prod-exp` `cbrt-unprod`
1×	`pow2` `clear-num` `associate-/r` `rem-square-sqrt` `frac-2neg` `pow-plus` `sqrt-unprod` `-commutative` `div-inv`

Counts

4 → 104

Calls

4 calls:

14.0ms	(* (sqrt (fma x (fma 0.04481 x 0.99229) 1.0)) (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))
11.0ms	(/ (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))))

series461.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(* (sqrt (fma x (fma 0.04481 x 0.99229) 1.0)) (sqrt (fma x (fma 0.04481 x 0.99229) 1.0)))
154.0ms	(sqrt (fma x (fma 0.04481 x 0.99229) 1.0))
136.0ms	(sqrt (fma x (fma 0.04481 x 0.99229) 1.0))
118.0ms	(/ (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))))

simplify869.0ms

Counts

116 → 116

Iterations

Iter	Nodes
done	5001
2	1242
1	330
0	146

prune631.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma x 3.0191289436999997 (- (fma x (* x 1.900161040244073) 2.30753)))
0.0b	(fma x (* x 1.900161040244073) 2.30753)

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

2×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

2 → 20

Calls

2 calls:

0.0ms	(fma x 3.0191289436999997 (- (fma x (* x 1.900161040244073) 2.30753)))
1.0ms	(fma x (* x 1.900161040244073) 2.30753)

series142.0ms

Counts

2 → 6

Calls

2 calls:

49.0ms	(fma x 3.0191289436999997 (- (fma x (* x 1.900161040244073) 2.30753)))
93.0ms	(fma x (* x 1.900161040244073) 2.30753)

simplify975.0ms

Counts

26 → 26

Iterations

Iter	Nodes
done	5000
3	1248
2	201
1	53
0	34

prune130.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes42.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	13
0	13

end0.0ms

sample823.0ms

Algorithm

intervals

Results

636.0ms

8000×

body

valid