Details

sample39.0ms

Algorithm

intervals

Results

23.0ms

256×

body

valid

simplify56.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (8.0ms)

Iter	Nodes	Cost
0	14	17
1	28	17
2	51	14
3	73	14
4	86	14
done	86	14

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (/ (fma x 0.27061 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0)) x)
0.1b	(fma x (fma 0.04481 x 0.99229) 1.0)
14.3b	(/ (fma x 0.27061 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 108

Calls

3 calls:

46.0ms	(- (/ (fma x 0.27061 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0)) x)
1.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
20.0ms	(/ (fma x 0.27061 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))

series200.0ms

Counts

3 → 9

Calls

3 calls:

69.0ms	(- (/ (fma x 0.27061 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0)) x)
47.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
84.0ms	(/ (fma x 0.27061 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))

simplify1.0s

Counts

117 → 117

Iterations

Useful iterations: done (999.0ms)

Iter	Nodes	Cost
0	170	3010
1	366	2605
2	1093	2336
done	5000	2059

prune375.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (expm1 (log1p (/ (fma x 0.27061 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0)))) x)
0.0b	(expm1 (log1p (/ (fma x 0.27061 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))))
0.1b	(fma x (fma 0.04481 x 0.99229) 1.0)
14.3b	(/ (fma x 0.27061 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 79

Calls

4 calls:

7.0ms	(- (expm1 (log1p (/ (fma x 0.27061 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0)))) x)
0.0ms	(expm1 (log1p (/ (fma x 0.27061 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))))
0.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
5.0ms	(/ (fma x 0.27061 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))

series636.0ms

Counts

4 → 12

Calls

4 calls:

204.0ms	(- (expm1 (log1p (/ (fma x 0.27061 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0)))) x)
297.0ms	(expm1 (log1p (/ (fma x 0.27061 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))))
36.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
98.0ms	(/ (fma x 0.27061 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))

simplify839.0ms

Counts

91 → 91

Iterations

Useful iterations: done (834.0ms)

Iter	Nodes	Cost
0	165	1925
1	349	1663
2	1103	1490
done	5000	1388

prune449.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize46.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (fma x 0.27061 2.30753) (sqrt (fma x (fma 0.04481 x 0.99229) 1.0)))
0.1b	(/ (/ (fma x 0.27061 2.30753) (sqrt (fma x (fma 0.04481 x 0.99229) 1.0))) (sqrt (fma x (fma 0.04481 x 0.99229) 1.0)))
14.3b	(sqrt (fma x (fma 0.04481 x 0.99229) 1.0))
14.3b	(sqrt (fma x (fma 0.04481 x 0.99229) 1.0))

rewrite93.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 248

Calls

4 calls:

20.0ms	(/ (fma x 0.27061 2.30753) (sqrt (fma x (fma 0.04481 x 0.99229) 1.0)))
36.0ms	(/ (/ (fma x 0.27061 2.30753) (sqrt (fma x (fma 0.04481 x 0.99229) 1.0))) (sqrt (fma x (fma 0.04481 x 0.99229) 1.0)))
3.0ms	(sqrt (fma x (fma 0.04481 x 0.99229) 1.0))
3.0ms	(sqrt (fma x (fma 0.04481 x 0.99229) 1.0))

series649.0ms

Counts

4 → 12

Calls

4 calls:

243.0ms	(/ (fma x 0.27061 2.30753) (sqrt (fma x (fma 0.04481 x 0.99229) 1.0)))
119.0ms	(/ (/ (fma x 0.27061 2.30753) (sqrt (fma x (fma 0.04481 x 0.99229) 1.0))) (sqrt (fma x (fma 0.04481 x 0.99229) 1.0)))
132.0ms	(sqrt (fma x (fma 0.04481 x 0.99229) 1.0))
156.0ms	(sqrt (fma x (fma 0.04481 x 0.99229) 1.0))

simplify1.6s

Counts

260 → 260

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	341	9407
1	809	8347
2	3252	7863
done	5001	7513

prune1.7s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes14.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	16
done	13	16

end0.0ms

sample933.0ms

Algorithm

intervals

Results

715.0ms

8000×

body

valid