Details

sample28.0ms

Algorithm

intervals

Results

11.0ms

344×

body

valid

simplify13.0ms

Counts

1 → 1

Iterations

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

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.6b

localize8.0ms

Local error

Found 1 expressions with local error:

4.3b	(* (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` `log1p-expm1-u` `add-log-exp` `unswap-sqr`

Counts

1 → 20

Calls

1 calls:

7.0ms

(* (fma y y 1.0) x)

series65.0ms

Counts

1 → 3

Calls

1 calls:

65.0ms

(* (fma y y 1.0) x)

simplify2.4s

Counts

23 → 23

Iterations

Iter	Nodes
done	5000
3	2565
2	277
1	77
0	39

prune100.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 4.5b

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))
4.3b	(sqrt (fma y y 1.0))
4.3b	(sqrt (fma y y 1.0))

rewrite35.0ms

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` `log1p-expm1-u` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `*-commutative` `unswap-sqr`

Counts

4 → 77

Calls

4 calls:

8.0ms	(* (sqrt (fma y y 1.0)) x)
22.0ms	(* (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))

series264.0ms

Counts

4 → 12

Calls

4 calls:

97.0ms	(* (sqrt (fma y y 1.0)) x)
51.0ms	(* (sqrt (fma y y 1.0)) (* (sqrt (fma y y 1.0)) x))
61.0ms	(sqrt (fma y y 1.0))
55.0ms	(sqrt (fma y y 1.0))

simplify969.0ms

Counts

89 → 89

Iterations

Iter	Nodes
done	5001
2	1036
1	250
0	103

prune412.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 4.5b

localize19.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (sqrt (sqrt (fma y y 1.0))) (* (sqrt (fma y y 1.0)) x))
4.3b	(sqrt (fma y y 1.0))
4.3b	(sqrt (fma y y 1.0))
4.3b	(sqrt (fma y y 1.0))

rewrite27.0ms

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` `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 → 71

Calls

4 calls:

22.0ms	(* (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))

series532.0ms

Counts

4 → 12

Calls

4 calls:

360.0ms	(* (sqrt (sqrt (fma y y 1.0))) (* (sqrt (fma y y 1.0)) x))
56.0ms	(sqrt (fma y y 1.0))
56.0ms	(sqrt (fma y y 1.0))
60.0ms	(sqrt (fma y y 1.0))

simplify1.1s

Counts

83 → 83

Iterations

Iter	Nodes
done	5000
2	1047
1	275
0	113

prune533.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 4.5b

localize26.0ms

Local error

Found 4 expressions with local error:

2.3b	(* (* (sqrt (sqrt (fma y y 1.0))) (sqrt (fma y y 1.0))) x)
4.3b	(sqrt (fma y y 1.0))
4.3b	(sqrt (fma y y 1.0))
4.3b	(sqrt (fma y y 1.0))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 65

Calls

4 calls:

43.0ms	(* (* (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))

series593.0ms

Counts

4 → 12

Calls

4 calls:

383.0ms	(* (* (sqrt (sqrt (fma y y 1.0))) (sqrt (fma y y 1.0))) x)
71.0ms	(sqrt (fma y y 1.0))
68.0ms	(sqrt (fma y y 1.0))
71.0ms	(sqrt (fma y y 1.0))

simplify1.3s

Counts

77 → 77

Iterations

Iter	Nodes
done	5001
2	1244
1	276
0	111

prune432.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 4.5b

regimes92.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	6
1	6
0	5

end0.0ms

sample696.0ms

Algorithm

intervals

Results

339.0ms

10708×

body

valid