Details

sample42.0ms

Algorithm

intervals

Results

28.0ms

256×

body

valid

simplify3.0s

Counts

1 → 1

Iterations

Iter	Nodes
done	5087
14	3347
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

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (/ (fma 0.27061 x 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0)))
0.0b	(fma (fma 0.04481 x 0.99229) x 1.0)
14.1b	(/ (fma 0.27061 x 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0))

rewrite21.0ms

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:

14.0ms	(- x (/ (fma 0.27061 x 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0)))
0.0ms	(fma (fma 0.04481 x 0.99229) x 1.0)
5.0ms	(/ (fma 0.27061 x 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0))

series215.0ms

Counts

3 → 9

Calls

3 calls:

82.0ms	(- x (/ (fma 0.27061 x 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0)))
30.0ms	(fma (fma 0.04481 x 0.99229) x 1.0)
103.0ms	(/ (fma 0.27061 x 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0))

simplify3.1s

Counts

110 → 110

Iterations

Iter	Nodes
done	5000
3	4627
2	1362
1	500
0	212

prune771.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma (fma 0.04481 x 0.99229) x 1.0)
1.3b	(expm1 (log1p (fma (fma 0.04481 x 0.99229) x 1.0)))
14.1b	(/ (fma 0.27061 x 2.30753) (expm1 (log1p (fma (fma 0.04481 x 0.99229) x 1.0))))
14.6b	(log1p (fma (fma 0.04481 x 0.99229) x 1.0))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac`
6×	`add-cbrt-cube` `add-exp-log`
5×	`expm1-log1p-u`
4×	`pow1` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`associate-/r` `associate-/l`
1×	`cbrt-undiv` `log1p-udef` `expm1-log1p` `clear-num` `frac-2neg` `div-exp` `log1p-expm1` `fma-udef` `div-inv` `expm1-udef`

Counts

4 → 65

Calls

4 calls:

0.0ms	(fma (fma 0.04481 x 0.99229) x 1.0)
0.0ms	(expm1 (log1p (fma (fma 0.04481 x 0.99229) x 1.0)))
4.0ms	(/ (fma 0.27061 x 2.30753) (expm1 (log1p (fma (fma 0.04481 x 0.99229) x 1.0))))
0.0ms	(log1p (fma (fma 0.04481 x 0.99229) x 1.0))

series616.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(fma (fma 0.04481 x 0.99229) x 1.0)
181.0ms	(expm1 (log1p (fma (fma 0.04481 x 0.99229) x 1.0)))
259.0ms	(/ (fma 0.27061 x 2.30753) (expm1 (log1p (fma (fma 0.04481 x 0.99229) x 1.0))))
139.0ms	(log1p (fma (fma 0.04481 x 0.99229) x 1.0))

simplify2.6s

Counts

77 → 77

Iterations

Iter	Nodes
done	5000
2	1694
1	543
0	221

prune467.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize72.0ms

Local error

Found 4 expressions with local error:

0.5b	(expm1 (log1p (log1p (fma (fma 0.04481 x 0.99229) x 1.0))))
1.3b	(expm1 (expm1 (log1p (log1p (fma (fma 0.04481 x 0.99229) x 1.0)))))
14.1b	(/ (fma 0.27061 x 2.30753) (expm1 (expm1 (log1p (log1p (fma (fma 0.04481 x 0.99229) x 1.0))))))
14.6b	(log1p (fma (fma 0.04481 x 0.99229) x 1.0))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac`
6×	`add-cbrt-cube` `add-exp-log`
5×	`expm1-log1p-u` `log1p-expm1-u`
4×	`pow1` `insert-posit16` `add-log-exp`
3×	`associate-/r` `associate-/l`
2×	`expm1-log1p` `expm1-udef`
1×	`cbrt-undiv` `log1p-udef` `clear-num` `frac-2neg` `div-exp` `log1p-expm1` `div-inv`

Counts

4 → 66

Calls

4 calls:

0.0ms	(expm1 (log1p (log1p (fma (fma 0.04481 x 0.99229) x 1.0))))
1.0ms	(expm1 (expm1 (log1p (log1p (fma (fma 0.04481 x 0.99229) x 1.0)))))
9.0ms	(/ (fma 0.27061 x 2.30753) (expm1 (expm1 (log1p (log1p (fma (fma 0.04481 x 0.99229) x 1.0))))))
1.0ms	(log1p (fma (fma 0.04481 x 0.99229) x 1.0))

series1.7s

Counts

4 → 12

Calls

4 calls:

378.0ms	(expm1 (log1p (log1p (fma (fma 0.04481 x 0.99229) x 1.0))))
542.0ms	(expm1 (expm1 (log1p (log1p (fma (fma 0.04481 x 0.99229) x 1.0)))))
653.0ms	(/ (fma 0.27061 x 2.30753) (expm1 (expm1 (log1p (log1p (fma (fma 0.04481 x 0.99229) x 1.0))))))
158.0ms	(log1p (fma (fma 0.04481 x 0.99229) x 1.0))

simplify5.0s

Counts

78 → 78

Iterations

Iter	Nodes
done	5000
2	4915
1	1161
0	376

prune605.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify4.0ms

Iterations

Iter	Nodes
done	15
0	15

end0.0ms

sample1.5s

Algorithm

intervals

Results

1.4s

8000×

body

valid