Details

sample28.0ms

Algorithm

intervals

Results

15.0ms

333×

body

valid

simplify13.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	27
3	27
2	23
1	14
0	6

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.9b

localize7.0ms

Local error

Found 1 expressions with local error:

5.9b	(* (fma y y 1.0) x)

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt`
3×	`pow1` `-un-lft-identity` `add-cbrt-cube` `associate-r` `associate-l*` `add-exp-log` `add-cube-cbrt`
1×	`expm1-log1p-u` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`

Counts

1 → 21

Calls

1 calls:

7.0ms

(* (fma y y 1.0) x)

series52.0ms

Counts

1 → 3

Calls

1 calls:

52.0ms

(* (fma y y 1.0) x)

simplify2.1s

Counts

24 → 24

Iterations

Iter	Nodes
done	5007
4	3390
3	663
2	200
1	78
0	40

prune62.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 5.9b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (sqrt (fma y y 1.0)) x)
0.1b	(* (sqrt (fma y y 1.0)) (* (sqrt (fma y y 1.0)) x))
5.9b	(sqrt (fma y y 1.0))
5.9b	(sqrt (fma y y 1.0))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
13×	`pow1` `sqrt-prod`
12×	`associate-l`
11×	`*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
4×	`expm1-log1p-u` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `*-commutative` `unswap-sqr`

Counts

4 → 81

Calls

4 calls:

10.0ms	(* (sqrt (fma y y 1.0)) x)
25.0ms	(* (sqrt (fma y y 1.0)) (* (sqrt (fma y y 1.0)) x))
1.0ms	(sqrt (fma y y 1.0))
2.0ms	(sqrt (fma y y 1.0))

series309.0ms

Counts

4 → 12

Calls

4 calls:

129.0ms	(* (sqrt (fma y y 1.0)) x)
56.0ms	(* (sqrt (fma y y 1.0)) (* (sqrt (fma y y 1.0)) x))
67.0ms	(sqrt (fma y y 1.0))
58.0ms	(sqrt (fma y y 1.0))

simplify1.6s

Counts

93 → 93

Iterations

Iter	Nodes
done	5018
3	2337
2	759
1	253
0	106

prune426.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 5.9b

localize27.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (sqrt (sqrt (fma y y 1.0))) (* (sqrt (sqrt (fma y y 1.0))) (* (sqrt (fma y y 1.0)) x)))
5.9b	(sqrt (fma y y 1.0))
5.9b	(sqrt (fma y y 1.0))
5.9b	(sqrt (fma y y 1.0))

rewrite136.0ms

Algorithm

rewrite-expression-head

Rules

18×	`sqrt-prod`
16×	`pow1`
13×	`add-sqr-sqrt` `add-cbrt-cube` `add-exp-log`
10×	`*-un-lft-identity` `add-cube-cbrt`
9×	`associate-l`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`
1×	`associate-r` `*-commutative`

Counts

4 → 78

Calls

4 calls:

127.0ms	(* (sqrt (sqrt (fma y y 1.0))) (* (sqrt (sqrt (fma y y 1.0))) (* (sqrt (fma y y 1.0)) x)))
1.0ms	(sqrt (fma y y 1.0))
3.0ms	(sqrt (fma y y 1.0))
3.0ms	(sqrt (fma y y 1.0))

series330.0ms

Counts

4 → 12

Calls

4 calls:

79.0ms	(* (sqrt (sqrt (fma y y 1.0))) (* (sqrt (sqrt (fma y y 1.0))) (* (sqrt (fma y y 1.0)) x)))
94.0ms	(sqrt (fma y y 1.0))
85.0ms	(sqrt (fma y y 1.0))
72.0ms	(sqrt (fma y y 1.0))

simplify2.1s

Counts

90 → 90

Iterations

Iter	Nodes
done	5010
3	2371
2	725
1	238
0	95

prune516.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 5.9b

localize42.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (sqrt (sqrt (fma y y 1.0))) (* (sqrt (sqrt (fma y y 1.0))) x))
5.9b	(sqrt (fma y y 1.0))
5.9b	(sqrt (fma y y 1.0))
5.9b	(sqrt (fma y y 1.0))

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

18×	`sqrt-prod`
13×	`add-sqr-sqrt`
12×	`pow1`
10×	`*-un-lft-identity` `add-cube-cbrt`
9×	`add-cbrt-cube` `associate-l` `add-exp-log`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`associate-r` `*-commutative`

Counts

4 → 75

Calls

4 calls:

68.0ms	(* (sqrt (sqrt (fma y y 1.0))) (* (sqrt (sqrt (fma y y 1.0))) x))
3.0ms	(sqrt (fma y y 1.0))
3.0ms	(sqrt (fma y y 1.0))
3.0ms	(sqrt (fma y y 1.0))

series329.0ms

Counts

4 → 12

Calls

4 calls:

131.0ms	(* (sqrt (sqrt (fma y y 1.0))) (* (sqrt (sqrt (fma y y 1.0))) x))
70.0ms	(sqrt (fma y y 1.0))
68.0ms	(sqrt (fma y y 1.0))
60.0ms	(sqrt (fma y y 1.0))

simplify1.8s

Counts

87 → 87

Iterations

Iter	Nodes
done	5000
3	1700
2	651
1	230
0	95

prune466.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 5.9b

regimes78.0ms

Accuracy

0% (0.1b remaining)

Error of 5.2b against oracle of 5.2b and baseline of 5.2b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	6
1	6
0	5

end0.0ms

sample734.0ms

Algorithm

intervals

Results

469.0ms

10642×

body

valid