Details

sample36.0ms

Algorithm

intervals

Results

12.0ms

256×

body

valid

simplify9.1s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
14	4459
13	1983
12	774
11	490
10	362
9	301
8	255
7	182
6	143
5	133
4	119
3	91
2	60
1	31
0	16

prune20.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize46.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ (fma 0.27061 x 2.30753) (fma x (fma x 0.04481 0.99229) 1.0)) x)
0.0b	(* (- (/ (fma 0.27061 x 2.30753) (fma x (fma x 0.04481 0.99229) 1.0)) x) 0.70711)
0.0b	(fma x (fma x 0.04481 0.99229) 1.0)
12.9b	(/ (fma 0.27061 x 2.30753) (fma x (fma x 0.04481 0.99229) 1.0))

rewrite175.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 137

Calls

4 calls:

56.0ms	(- (/ (fma 0.27061 x 2.30753) (fma x (fma x 0.04481 0.99229) 1.0)) x)
100.0ms	(* (- (/ (fma 0.27061 x 2.30753) (fma x (fma x 0.04481 0.99229) 1.0)) x) 0.70711)
1.0ms	(fma x (fma x 0.04481 0.99229) 1.0)
7.0ms	(/ (fma 0.27061 x 2.30753) (fma x (fma x 0.04481 0.99229) 1.0))

series373.0ms

Counts

4 → 12

Calls

4 calls:

94.0ms	(- (/ (fma 0.27061 x 2.30753) (fma x (fma x 0.04481 0.99229) 1.0)) x)
122.0ms	(* (- (/ (fma 0.27061 x 2.30753) (fma x (fma x 0.04481 0.99229) 1.0)) x) 0.70711)
43.0ms	(fma x (fma x 0.04481 0.99229) 1.0)
115.0ms	(/ (fma 0.27061 x 2.30753) (fma x (fma x 0.04481 0.99229) 1.0))

simplify5.7s

Counts

149 → 149

Iterations

Iter	Nodes
done	5014
3	3318
2	1070
1	466
0	217

prune1.4s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize45.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma (fma 0.27061 x 2.30753) (/ 1 (fma x (fma x 0.04481 0.99229) 1.0)) (- x))
0.0b	(* (fma (fma 0.27061 x 2.30753) (/ 1 (fma x (fma x 0.04481 0.99229) 1.0)) (- x)) 0.70711)
0.0b	(fma x (fma x 0.04481 0.99229) 1.0)
0.5b	(/ 1 (fma x (fma x 0.04481 0.99229) 1.0))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
14×	`*-un-lft-identity` `add-cube-cbrt`
10×	`add-exp-log`
9×	`times-frac`
8×	`add-cbrt-cube`
7×	`pow1`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`associate-/r` `associate-r` `associate-l` `associate-/l`
2×	`div-exp` `fma-udef`
1×	`cbrt-undiv` `rec-exp` `clear-num` `frac-2neg` `1-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `div-inv` `pow-flip` `inv-pow` `unswap-sqr`

Counts

4 → 77

Calls

4 calls:

1.0ms	(fma (fma 0.27061 x 2.30753) (/ 1 (fma x (fma x 0.04481 0.99229) 1.0)) (- x))
14.0ms	(* (fma (fma 0.27061 x 2.30753) (/ 1 (fma x (fma x 0.04481 0.99229) 1.0)) (- x)) 0.70711)
1.0ms	(fma x (fma x 0.04481 0.99229) 1.0)
8.0ms	(/ 1 (fma x (fma x 0.04481 0.99229) 1.0))

series746.0ms

Counts

4 → 12

Calls

4 calls:

106.0ms	(fma (fma 0.27061 x 2.30753) (/ 1 (fma x (fma x 0.04481 0.99229) 1.0)) (- x))
116.0ms	(* (fma (fma 0.27061 x 2.30753) (/ 1 (fma x (fma x 0.04481 0.99229) 1.0)) (- x)) 0.70711)
424.0ms	(fma x (fma x 0.04481 0.99229) 1.0)
100.0ms	(/ 1 (fma x (fma x 0.04481 0.99229) 1.0))

simplify5.0s

Counts

89 → 89

Iterations

Iter	Nodes
done	5003
3	2539
2	754
1	303
0	154

prune963.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize76.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (fma 0.27061 x 2.30753) (sqrt (fma x (fma x 0.04481 0.99229) 1.0)))
0.1b	(/ (/ (fma 0.27061 x 2.30753) (sqrt (fma x (fma x 0.04481 0.99229) 1.0))) (sqrt (fma x (fma x 0.04481 0.99229) 1.0)))
12.9b	(sqrt (fma x (fma x 0.04481 0.99229) 1.0))
12.9b	(sqrt (fma x (fma x 0.04481 0.99229) 1.0))

rewrite92.0ms

Algorithm

rewrite-expression-head

Rules

276×	`times-frac`
160×	`add-sqr-sqrt`
158×	`*-un-lft-identity` `add-cube-cbrt`
150×	`sqrt-prod`
25×	`associate-/l*`
12×	`associate-/r*`
11×	`add-cbrt-cube` `add-exp-log`
9×	`div-inv`
6×	`pow1`
4×	`expm1-log1p-u` `cbrt-undiv` `div-exp` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`rem-sqrt-square` `clear-num` `frac-2neg` `sqrt-pow1` `pow1/2`
1×	`associate-/l/`

Counts

4 → 252

Calls

4 calls:

9.0ms	(/ (fma 0.27061 x 2.30753) (sqrt (fma x (fma x 0.04481 0.99229) 1.0)))
38.0ms	(/ (/ (fma 0.27061 x 2.30753) (sqrt (fma x (fma x 0.04481 0.99229) 1.0))) (sqrt (fma x (fma x 0.04481 0.99229) 1.0)))
5.0ms	(sqrt (fma x (fma x 0.04481 0.99229) 1.0))
5.0ms	(sqrt (fma x (fma x 0.04481 0.99229) 1.0))

series662.0ms

Counts

4 → 12

Calls

4 calls:

268.0ms	(/ (fma 0.27061 x 2.30753) (sqrt (fma x (fma x 0.04481 0.99229) 1.0)))
98.0ms	(/ (/ (fma 0.27061 x 2.30753) (sqrt (fma x (fma x 0.04481 0.99229) 1.0))) (sqrt (fma x (fma x 0.04481 0.99229) 1.0)))
124.0ms	(sqrt (fma x (fma x 0.04481 0.99229) 1.0))
172.0ms	(sqrt (fma x (fma x 0.04481 0.99229) 1.0))

simplify3.4s

Counts

264 → 264

Iterations

Iter	Nodes
done	5001
2	2056
1	809
0	346

prune2.1s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize149.0ms

Local error

Found 4 expressions with local error:

0.5b	(/ 1 (fma x (fma x 0.04481 0.99229) 1.0))
0.6b	(* (sqrt (fma (fma 0.27061 x 2.30753) (/ 1 (fma x (fma x 0.04481 0.99229) 1.0)) (- x))) (sqrt 0.70711))
0.6b	(* (sqrt (fma (fma 0.27061 x 2.30753) (/ 1 (fma x (fma x 0.04481 0.99229) 1.0)) (- x))) (sqrt 0.70711))
0.6b	(* (* (sqrt (fma (fma 0.27061 x 2.30753) (/ 1 (fma x (fma x 0.04481 0.99229) 1.0)) (- x))) (sqrt 0.70711)) (* (sqrt (fma (fma 0.27061 x 2.30753) (/ 1 (fma x (fma x 0.04481 0.99229) 1.0)) (- x))) (sqrt 0.70711)))

rewrite169.0ms

Algorithm

rewrite-expression-head

Rules

68×	`pow1`
41×	`pow-prod-down`
36×	`add-sqr-sqrt`
24×	`add-exp-log`
22×	`add-cbrt-cube`
20×	`*-un-lft-identity` `sqrt-pow1` `pow1/2` `add-cube-cbrt` `sqrt-prod`
13×	`associate-r` `associate-l`
10×	`prod-exp` `cbrt-unprod`
9×	`times-frac`
8×	`pow-prod-up` `unswap-sqr`
7×	`sqrt-unprod`
6×	`pow-sqr`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`associate-/r` `-commutative` `associate-/l*`
2×	`pow-plus` `div-exp`
1×	`pow2` `cbrt-undiv` `rec-exp` `clear-num` `rem-square-sqrt` `frac-2neg` `1-exp` `swap-sqr` `div-inv` `pow-flip` `inv-pow`

Counts

4 → 147

Calls

4 calls:

7.0ms	(/ 1 (fma x (fma x 0.04481 0.99229) 1.0))
25.0ms	(* (sqrt (fma (fma 0.27061 x 2.30753) (/ 1 (fma x (fma x 0.04481 0.99229) 1.0)) (- x))) (sqrt 0.70711))
36.0ms	(* (sqrt (fma (fma 0.27061 x 2.30753) (/ 1 (fma x (fma x 0.04481 0.99229) 1.0)) (- x))) (sqrt 0.70711))
92.0ms	(* (* (sqrt (fma (fma 0.27061 x 2.30753) (/ 1 (fma x (fma x 0.04481 0.99229) 1.0)) (- x))) (sqrt 0.70711)) (* (sqrt (fma (fma 0.27061 x 2.30753) (/ 1 (fma x (fma x 0.04481 0.99229) 1.0)) (- x))) (sqrt 0.70711)))

series664.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(/ 1 (fma x (fma x 0.04481 0.99229) 1.0))
183.0ms	(* (sqrt (fma (fma 0.27061 x 2.30753) (/ 1 (fma x (fma x 0.04481 0.99229) 1.0)) (- x))) (sqrt 0.70711))
193.0ms	(* (sqrt (fma (fma 0.27061 x 2.30753) (/ 1 (fma x (fma x 0.04481 0.99229) 1.0)) (- x))) (sqrt 0.70711))
220.0ms	(* (* (sqrt (fma (fma 0.27061 x 2.30753) (/ 1 (fma x (fma x 0.04481 0.99229) 1.0)) (- x))) (sqrt 0.70711)) (* (sqrt (fma (fma 0.27061 x 2.30753) (/ 1 (fma x (fma x 0.04481 0.99229) 1.0)) (- x))) (sqrt 0.70711)))

simplify6.2s

Counts

159 → 159

Iterations

Iter	Nodes
done	5000
3	4073
2	1161
1	439
0	201

prune1.4s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes107.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	18
1	18
0	15

end0.0ms

sample778.0ms

Algorithm

intervals

Results

601.0ms

8000×

body

valid