Details

sample16.0ms

Algorithm

intervals

Results

8.0ms

256×

body

valid

simplify28.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (6.0ms)

Iter	Nodes	Cost
0	14	17
1	28	17
2	45	14
3	59	14
4	65	14
done	65	14

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

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)
14.8b	(/ (fma x 0.27061 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))

rewrite21.0ms

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:

14.0ms	(- (/ (fma x 0.27061 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0)) x)
0.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
2.0ms	(/ (fma x 0.27061 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))

series155.0ms

Counts

3 → 9

Calls

3 calls:

60.0ms	(- (/ (fma x 0.27061 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0)) x)
27.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
68.0ms	(/ (fma x 0.27061 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))

simplify1.4s

Counts

117 → 117

Iterations

Useful iterations: 3 (685.0ms)

Iter	Nodes	Cost
0	170	3010
1	338	2592
2	807	2330
3	2525	2035
done	5000	2035

prune245.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma x (fma 0.04481 x 0.99229) 1.0)
1.4b	(expm1 (log1p (fma x (fma 0.04481 x 0.99229) 1.0)))
14.8b	(/ (fma x 0.27061 2.30753) (expm1 (log1p (fma x (fma 0.04481 x 0.99229) 1.0))))
15.3b	(log1p (fma x (fma 0.04481 x 0.99229) 1.0))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 61

Calls

4 calls:

0.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
0.0ms	(expm1 (log1p (fma x (fma 0.04481 x 0.99229) 1.0)))
2.0ms	(/ (fma x 0.27061 2.30753) (expm1 (log1p (fma x (fma 0.04481 x 0.99229) 1.0))))
0.0ms	(log1p (fma x (fma 0.04481 x 0.99229) 1.0))

series463.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
144.0ms	(expm1 (log1p (fma x (fma 0.04481 x 0.99229) 1.0)))
196.0ms	(/ (fma x 0.27061 2.30753) (expm1 (log1p (fma x (fma 0.04481 x 0.99229) 1.0))))
96.0ms	(log1p (fma x (fma 0.04481 x 0.99229) 1.0))

simplify526.0ms

Counts

73 → 73

Iterations

Useful iterations: 2 (199.0ms)

Iter	Nodes	Cost
0	217	1624
1	529	1437
2	1746	1279
done	5000	1279

prune254.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

1.4b	(expm1 (log1p (fma x (fma 0.04481 x 0.99229) 1.0)))
14.8b	(sqrt (expm1 (log1p (fma x (fma 0.04481 x 0.99229) 1.0))))
14.8b	(sqrt (fma x (fma 0.04481 x 0.99229) 1.0))
15.3b	(log1p (fma x (fma 0.04481 x 0.99229) 1.0))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`pow1` `add-cube-cbrt` `*-un-lft-identity` `sqrt-prod`
5×	`expm1-log1p-u`
4×	`add-exp-log` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`
1×	`log1p-udef` `expm1-log1p` `log1p-expm1` `expm1-udef`

Counts

4 → 52

Calls

4 calls:

0.0ms	(expm1 (log1p (fma x (fma 0.04481 x 0.99229) 1.0)))
1.0ms	(sqrt (expm1 (log1p (fma x (fma 0.04481 x 0.99229) 1.0))))
1.0ms	(sqrt (fma x (fma 0.04481 x 0.99229) 1.0))
0.0ms	(log1p (fma x (fma 0.04481 x 0.99229) 1.0))

series569.0ms

Counts

4 → 12

Calls

4 calls:

150.0ms	(expm1 (log1p (fma x (fma 0.04481 x 0.99229) 1.0)))
229.0ms	(sqrt (expm1 (log1p (fma x (fma 0.04481 x 0.99229) 1.0))))
92.0ms	(sqrt (fma x (fma 0.04481 x 0.99229) 1.0))
97.0ms	(log1p (fma x (fma 0.04481 x 0.99229) 1.0))

simplify491.0ms

Counts

64 → 64

Iterations

Useful iterations: 2 (171.0ms)

Iter	Nodes	Cost
0	208	1292
1	525	1130
2	1699	1010
done	5001	1010

prune291.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (sqrt (fma x 0.27061 2.30753)) (sqrt (fma x (fma 0.04481 x 0.99229) 1.0)))
0.5b	(fma (/ (sqrt (fma x 0.27061 2.30753)) (sqrt (fma x (fma 0.04481 x 0.99229) 1.0))) (/ (sqrt (fma x 0.27061 2.30753)) (sqrt (fma x (fma 0.04481 x 0.99229) 1.0))) (- x))
14.8b	(sqrt (fma x (fma 0.04481 x 0.99229) 1.0))
14.8b	(sqrt (fma x (fma 0.04481 x 0.99229) 1.0))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

48×	`sqrt-prod`
36×	`add-sqr-sqrt` `times-frac`
34×	`add-cube-cbrt` `*-un-lft-identity`
6×	`pow1` `add-exp-log` `associate-/r` `add-cbrt-cube` `associate-/l`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`
1×	`cbrt-undiv` `sqrt-undiv` `frac-2neg` `div-exp` `clear-num` `fma-udef` `div-inv`

Counts

4 → 103

Calls

4 calls:

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

series526.0ms

Counts

4 → 12

Calls

4 calls:

104.0ms	(/ (sqrt (fma x 0.27061 2.30753)) (sqrt (fma x (fma 0.04481 x 0.99229) 1.0)))
237.0ms	(fma (/ (sqrt (fma x 0.27061 2.30753)) (sqrt (fma x (fma 0.04481 x 0.99229) 1.0))) (/ (sqrt (fma x 0.27061 2.30753)) (sqrt (fma x (fma 0.04481 x 0.99229) 1.0))) (- x))
93.0ms	(sqrt (fma x (fma 0.04481 x 0.99229) 1.0))
92.0ms	(sqrt (fma x (fma 0.04481 x 0.99229) 1.0))

simplify1.0s

Counts

115 → 115

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	180	2703
1	361	2483
2	926	2141
3	2783	2120
done	5000	2118

prune324.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes20.0ms

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

sample327.0ms

Algorithm

intervals

Results

243.0ms

8000×

body

valid