Details

sample30.0ms

Algorithm

intervals

Results

19.0ms

329×

body

valid

simplify14.0ms

Counts

1 → 1

Iterations

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

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.9b

localize10.0ms

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:

8.0ms

(* (fma y y 1.0) x)

series64.0ms

Counts

1 → 3

Calls

1 calls:

64.0ms

(* (fma y y 1.0) x)

simplify2.4s

Counts

24 → 24

Iterations

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

prune76.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 5.9b

localize18.0ms

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))

rewrite45.0ms

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:

9.0ms	(* (sqrt (fma y y 1.0)) x)
32.0ms	(* (sqrt (fma y y 1.0)) (* (sqrt (fma y y 1.0)) x))
2.0ms	(sqrt (fma y y 1.0))
2.0ms	(sqrt (fma y y 1.0))

series322.0ms

Counts

4 → 12

Calls

4 calls:

118.0ms	(* (sqrt (fma y y 1.0)) x)
63.0ms	(* (sqrt (fma y y 1.0)) (* (sqrt (fma y y 1.0)) x))
73.0ms	(sqrt (fma y y 1.0))
68.0ms	(sqrt (fma y y 1.0))

simplify1.6s

Counts

93 → 93

Iterations

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

prune349.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 5.9b

localize25.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (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))

rewrite33.0ms

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:

27.0ms	(* (sqrt (sqrt (fma y y 1.0))) (* (sqrt (fma y y 1.0)) x))
2.0ms	(sqrt (fma y y 1.0))
2.0ms	(sqrt (fma y y 1.0))
2.0ms	(sqrt (fma y y 1.0))

series535.0ms

Counts

4 → 12

Calls

4 calls:

352.0ms	(* (sqrt (sqrt (fma y y 1.0))) (* (sqrt (fma y y 1.0)) x))
53.0ms	(sqrt (fma y y 1.0))
61.0ms	(sqrt (fma y y 1.0))
67.0ms	(sqrt (fma y y 1.0))

simplify1.6s

Counts

87 → 87

Iterations

Iter	Nodes
done	5141
3	2703
2	835
1	277
0	115

prune418.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 5.9b

localize16.0ms

Local error

Found 2 expressions with local error:

1.1b	(* (* (fma y y 1.0) (sqrt x)) (sqrt x))
2.2b	(* (fma y y 1.0) (sqrt x))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 49

Calls

2 calls:

30.0ms	(* (* (fma y y 1.0) (sqrt x)) (sqrt x))
11.0ms	(* (fma y y 1.0) (sqrt x))

series138.0ms

Counts

2 → 6

Calls

2 calls:

55.0ms	(* (* (fma y y 1.0) (sqrt x)) (sqrt x))
82.0ms	(* (fma y y 1.0) (sqrt x))

simplify1.9s

Counts

55 → 55

Iterations

Iter	Nodes
done	5000
3	2606
2	716
1	213
0	85

prune132.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 5.9b

regimes74.0ms

Accuracy

0% (0.1b remaining)

Error of 5.2b against oracle of 5.1b and baseline of 5.2b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	6
1	6
0	5

end0.0ms

sample739.0ms

Algorithm

intervals

Results

570.0ms

10580×

body

valid