Details

sample54.0ms

Algorithm

intervals

Results

35.0ms

256×

body

valid

simplify1.2s

Counts

1 → 1

Iterations

Iter	Nodes
done	2000
13	1973
12	1280
11	840
10	503
9	302
8	207
7	158
6	130
5	108
4	98
3	68
2	39
1	22
0	14

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (/ (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)
15.0b	(/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))

rewrite16.0ms

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` `insert-posit16` `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 → 101

Calls

3 calls:

10.0ms	(- x (/ (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)
4.0ms	(/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))

series190.0ms

Counts

3 → 9

Calls

3 calls:

73.0ms	(- x (/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0)))
34.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
84.0ms	(/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))

simplify920.0ms

Counts

110 → 110

Iterations

Iter	Nodes
done	2001
2	1362
1	500
0	212

prune603.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (/ 1 (/ (fma x (fma 0.04481 x 0.99229) 1.0) (fma 0.27061 x 2.30753))))
0.1b	(fma x (fma 0.04481 x 0.99229) 1.0)
0.2b	(/ 1 (/ (fma x (fma 0.04481 x 0.99229) 1.0) (fma 0.27061 x 2.30753)))
15.0b	(/ (fma x (fma 0.04481 x 0.99229) 1.0) (fma 0.27061 x 2.30753))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

288×	`times-frac`
218×	`add-sqr-sqrt`
209×	`*-un-lft-identity`
204×	`add-cube-cbrt`
132×	`prod-diff`
19×	`div-inv`
17×	`add-exp-log`
16×	`associate-/r*`
11×	`add-cbrt-cube`
8×	`div-exp`
6×	`associate-/l*` `add-log-exp`
5×	`pow1` `difference-of-squares`
4×	`expm1-log1p-u` `cbrt-undiv` `associate-/r/` `insert-posit16` `log1p-expm1-u`
3×	`fma-neg`
2×	`rec-exp` `clear-num` `frac-2neg` `1-exp` `distribute-lft-out--`
1×	`sub-neg` `flip3--` `diff-log` `fma-udef` `pow-flip` `flip--` `inv-pow`

Counts

4 → 277

Calls

4 calls:

18.0ms	(- x (/ 1 (/ (fma x (fma 0.04481 x 0.99229) 1.0) (fma 0.27061 x 2.30753))))
0.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
18.0ms	(/ 1 (/ (fma x (fma 0.04481 x 0.99229) 1.0) (fma 0.27061 x 2.30753)))
9.0ms	(/ (fma x (fma 0.04481 x 0.99229) 1.0) (fma 0.27061 x 2.30753))

series247.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(- x (/ 1 (/ (fma x (fma 0.04481 x 0.99229) 1.0) (fma 0.27061 x 2.30753))))
38.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
76.0ms	(/ 1 (/ (fma x (fma 0.04481 x 0.99229) 1.0) (fma 0.27061 x 2.30753)))
67.0ms	(/ (fma x (fma 0.04481 x 0.99229) 1.0) (fma 0.27061 x 2.30753))

simplify945.0ms

Counts

289 → 289

Iterations

Iter	Nodes
done	2004
1	1390
0	538

prune2.0s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (/ 1 (- (fma x 0.37920088514346545 0.4333638132548656) (* 0.02505083423776644 (* x x)))))
0.0b	(- (fma x 0.37920088514346545 0.4333638132548656) (* 0.02505083423776644 (* x x)))
0.1b	(* 0.02505083423776644 (* x x))
0.6b	(/ 1 (- (fma x 0.37920088514346545 0.4333638132548656) (* 0.02505083423776644 (* x x))))

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

60×	`add-sqr-sqrt`
56×	`*-un-lft-identity`
52×	`add-cube-cbrt`
48×	`prod-diff`
38×	`times-frac`
13×	`add-exp-log`
11×	`add-cbrt-cube`
10×	`pow1`
8×	`associate-/r/` `add-log-exp`
6×	`flip3--` `fma-neg` `flip--`
5×	`div-inv`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
3×	`associate-/r` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `associate-/l` `difference-of-squares`
2×	`sub-neg` `diff-log` `div-exp` `distribute-lft-out--`
1×	`cbrt-undiv` `rec-exp` `clear-num` `frac-2neg` `1-exp` `associate-r` `associate--l+` `*-commutative` `fma-udef` `pow-flip` `inv-pow` `unswap-sqr`

Counts

4 → 148

Calls

4 calls:

15.0ms	(- x (/ 1 (- (fma x 0.37920088514346545 0.4333638132548656) (* 0.02505083423776644 (* x x)))))
12.0ms	(- (fma x 0.37920088514346545 0.4333638132548656) (* 0.02505083423776644 (* x x)))
33.0ms	(* 0.02505083423776644 (* x x))
16.0ms	(/ 1 (- (fma x 0.37920088514346545 0.4333638132548656) (* 0.02505083423776644 (* x x))))

series230.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(- x (/ 1 (- (fma x 0.37920088514346545 0.4333638132548656) (* 0.02505083423776644 (* x x)))))
29.0ms	(- (fma x 0.37920088514346545 0.4333638132548656) (* 0.02505083423776644 (* x x)))
43.0ms	(* 0.02505083423776644 (* x x))
91.0ms	(/ 1 (- (fma x 0.37920088514346545 0.4333638132548656) (* 0.02505083423776644 (* x x))))

simplify1.0s

Counts

160 → 160

Iterations

Iter	Nodes
done	2000
2	1712
1	688
0	276

prune837.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes22.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	15
1	15
0	13

end0.0ms

sample1.4s

Algorithm

intervals

Results

1.3s

8000×

body

valid