Details

sample33.0ms

Algorithm

intervals

Results

12.0ms

333×

body

valid

simplify48.0ms

Counts

1 → 1

Iterations

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

prune18.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.3b

localize10.0ms

Local error

Found 1 expressions with local error:

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

rewrite23.0ms

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:

17.0ms

(* (fma y y 1.0) x)

series66.0ms

Counts

1 → 3

Calls

1 calls:

66.0ms

(* (fma y y 1.0) x)

simplify7.3s

Counts

24 → 24

Iterations

Iter	Nodes
done	5000
4	3966
3	732
2	203
1	78
0	40

prune196.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 6.3b

localize25.0ms

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))

rewrite68.0ms

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:

17.0ms	(* (sqrt (fma y y 1.0)) x)
42.0ms	(* (sqrt (fma y y 1.0)) (* (sqrt (fma y y 1.0)) x))
3.0ms	(sqrt (fma y y 1.0))
3.0ms	(sqrt (fma y y 1.0))

series392.0ms

Counts

4 → 12

Calls

4 calls:

148.0ms	(* (sqrt (fma y y 1.0)) x)
92.0ms	(* (sqrt (fma y y 1.0)) (* (sqrt (fma y y 1.0)) x))
75.0ms	(sqrt (fma y y 1.0))
77.0ms	(sqrt (fma y y 1.0))

simplify3.8s

Counts

93 → 93

Iterations

Iter	Nodes
done	5001
3	2394
2	755
1	253
0	106

prune925.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 6.3b

localize64.0ms

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))

rewrite142.0ms

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:

129.0ms	(* (sqrt (sqrt (fma y y 1.0))) (* (sqrt (sqrt (fma y y 1.0))) (* (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))

series350.0ms

Counts

4 → 12

Calls

4 calls:

86.0ms	(* (sqrt (sqrt (fma y y 1.0))) (* (sqrt (sqrt (fma y y 1.0))) (* (sqrt (fma y y 1.0)) x)))
87.0ms	(sqrt (fma y y 1.0))
94.0ms	(sqrt (fma y y 1.0))
83.0ms	(sqrt (fma y y 1.0))

simplify4.3s

Counts

90 → 90

Iterations

Iter	Nodes
done	5000
3	2285
2	737
1	236
0	95

prune1.1s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 6.3b

localize102.0ms

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))

rewrite116.0ms

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:

90.0ms	(* (sqrt (sqrt (fma y y 1.0))) (* (sqrt (sqrt (fma y y 1.0))) x))
5.0ms	(sqrt (fma y y 1.0))
6.0ms	(sqrt (fma y y 1.0))
9.0ms	(sqrt (fma y y 1.0))

series435.0ms

Counts

4 → 12

Calls

4 calls:

132.0ms	(* (sqrt (sqrt (fma y y 1.0))) (* (sqrt (sqrt (fma y y 1.0))) x))
91.0ms	(sqrt (fma y y 1.0))
103.0ms	(sqrt (fma y y 1.0))
108.0ms	(sqrt (fma y y 1.0))

simplify3.5s

Counts

87 → 87

Iterations

Iter	Nodes
done	5003
3	1740
2	646
1	230
0	95

prune1.0s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 6.3b

regimes324.0ms

Accuracy

0% (0.1b remaining)

Error of 5.6b against oracle of 5.5b and baseline of 5.6b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	6
1	6
0	5

end0.0ms

sample820.0ms

Algorithm

intervals

Results

386.0ms

10642×

body

valid