Details

sample33.0ms

Algorithm

intervals

Results

23.0ms

345×

body

valid

simplify14.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	28
3	28
2	23
1	14
0	6

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.8b

localize10.0ms

Local error

Found 1 expressions with local error:

4.8b	(* (fma y y 1.0) x)

rewrite9.0ms

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)

series56.0ms

Counts

1 → 3

Calls

1 calls:

56.0ms

(* (fma y y 1.0) x)

simplify3.2s

Counts

24 → 24

Iterations

Iter	Nodes
done	5000
4	4892
3	823
2	216
1	78
0	40

prune82.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 4.7b

localize17.0ms

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))
4.7b	(sqrt (fma y y 1.0))
4.7b	(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:

10.0ms	(* (sqrt (fma y y 1.0)) x)
30.0ms	(* (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))

series321.0ms

Counts

4 → 12

Calls

4 calls:

122.0ms	(* (sqrt (fma y y 1.0)) x)
60.0ms	(* (sqrt (fma y y 1.0)) (* (sqrt (fma y y 1.0)) x))
70.0ms	(sqrt (fma y y 1.0))
68.0ms	(sqrt (fma y y 1.0))

simplify1.6s

Counts

93 → 93

Iterations

Iter	Nodes
done	5001
3	2640
2	800
1	253
0	106

prune357.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 4.7b

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (sqrt (sqrt (fma y y 1.0))) (sqrt (sqrt (fma y y 1.0))))
4.7b	(sqrt (fma y y 1.0))
4.7b	(sqrt (fma y y 1.0))
4.7b	(sqrt (fma y y 1.0))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

75×	`sqrt-prod`
52×	`add-sqr-sqrt`
35×	`sqrt-pow1`
30×	`pow1`
19×	`*-un-lft-identity` `pow1/2` `add-cube-cbrt`
15×	`swap-sqr`
9×	`associate-r` `associate-l` `pow-prod-up` `unswap-sqr`
6×	`add-cbrt-cube` `add-exp-log`
5×	`pow-prod-down` `pow-sqr`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`rem-sqrt-square`
1×	`pow2` `rem-square-sqrt` `pow-plus` `sqrt-unprod` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 126

Calls

4 calls:

12.0ms	(* (sqrt (sqrt (fma y y 1.0))) (sqrt (sqrt (fma y y 1.0))))
1.0ms	(sqrt (fma y y 1.0))
1.0ms	(sqrt (fma y y 1.0))
1.0ms	(sqrt (fma y y 1.0))

series278.0ms

Counts

4 → 12

Calls

4 calls:

71.0ms	(* (sqrt (sqrt (fma y y 1.0))) (sqrt (sqrt (fma y y 1.0))))
71.0ms	(sqrt (fma y y 1.0))
72.0ms	(sqrt (fma y y 1.0))
63.0ms	(sqrt (fma y y 1.0))

simplify2.1s

Counts

138 → 138

Iterations

Iter	Nodes
done	5000
4	4561
3	1366
2	488
1	218
0	106

prune403.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 4.7b

localize20.0ms

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)))
4.7b	(sqrt (fma y y 1.0))
4.7b	(sqrt (fma y y 1.0))
4.7b	(sqrt (fma y y 1.0))

rewrite82.0ms

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:

76.0ms	(* (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))
1.0ms	(sqrt (fma y y 1.0))
1.0ms	(sqrt (fma y y 1.0))

series255.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(* (sqrt (sqrt (fma y y 1.0))) (* (sqrt (sqrt (fma y y 1.0))) (* (sqrt (fma y y 1.0)) x)))
69.0ms	(sqrt (fma y y 1.0))
69.0ms	(sqrt (fma y y 1.0))
67.0ms	(sqrt (fma y y 1.0))

simplify1.8s

Counts

90 → 90

Iterations

Iter	Nodes
done	5002
3	2593
2	769
1	238
0	95

prune407.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 4.7b

regimes88.0ms

Accuracy

0% (0.1b remaining)

Error of 5.4b against oracle of 5.3b and baseline of 5.4b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	6
1	6
0	5

end0.0ms

sample786.0ms

Algorithm

intervals

Results

528.0ms

10736×

body

valid