Details

sample257.0ms

Algorithm

intervals

Results

161.0ms

533×

body

valid

simplify5.7s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
5	4998
4	2295
3	723
2	217
1	67
0	28

prune21.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.0b

localize56.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma b c (- (* z (* (* t x) (* y 18.0))) (fma 4.0 (fma t a (* x i)) (* 27.0 (* k j)))))
0.2b	(* 27.0 (* k j))
3.6b	(* (* t x) (* y 18.0))
6.4b	(* z (* (* t x) (* y 18.0)))

rewrite147.0ms

Algorithm

rewrite-expression-head

Rules

39×	`pow1` `add-cbrt-cube` `add-exp-log`
24×	`pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`associate-l`
6×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`associate-r` `*-commutative`
1×	`fma-udef`

Counts

4 → 87

Calls

4 calls:

0.0ms	(fma b c (- (* z (* (* t x) (* y 18.0))) (fma 4.0 (fma t a (* x i)) (* 27.0 (* k j)))))
23.0ms	(* 27.0 (* k j))
25.0ms	(* (* t x) (* y 18.0))
96.0ms	(* z (* (* t x) (* y 18.0)))

series12.7s

Counts

4 → 12

Calls

4 calls:

12.5s	(fma b c (- (* z (* (* t x) (* y 18.0))) (fma 4.0 (fma t a (* x i)) (* 27.0 (* k j)))))
29.0ms	(* 27.0 (* k j))
48.0ms	(* (* t x) (* y 18.0))
68.0ms	(* z (* (* t x) (* y 18.0)))

simplify1.7s

Counts

99 → 99

Iterations

Iter	Nodes
done	5006
2	1423
1	367
0	152

prune924.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize80.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (sqrt 27.0) (* k j))
0.2b	(* (sqrt 27.0) (* (sqrt 27.0) (* k j)))
3.6b	(* (* t x) (* y 18.0))
6.4b	(* z (* (* t x) (* y 18.0)))

rewrite225.0ms

Algorithm

rewrite-expression-head

Rules

48×	`pow1` `add-cbrt-cube` `add-exp-log`
30×	`pow-prod-down` `prod-exp` `cbrt-unprod`
16×	`associate-l`
9×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
6×	`sqrt-prod`
4×	`expm1-log1p-u` `associate-r` `*-commutative` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

4 → 106

Calls

4 calls:

27.0ms	(* (sqrt 27.0) (* k j))
56.0ms	(* (sqrt 27.0) (* (sqrt 27.0) (* k j)))
38.0ms	(* (* t x) (* y 18.0))
100.0ms	(* z (* (* t x) (* y 18.0)))

series340.0ms

Counts

4 → 12

Calls

4 calls:

81.0ms	(* (sqrt 27.0) (* k j))
127.0ms	(* (sqrt 27.0) (* (sqrt 27.0) (* k j)))
54.0ms	(* (* t x) (* y 18.0))
77.0ms	(* z (* (* t x) (* y 18.0)))

simplify1.4s

Counts

118 → 118

Iterations

Iter	Nodes
done	5005
2	1802
1	397
0	154

prune931.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize52.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (sqrt (sqrt 27.0)) (* (sqrt (sqrt 27.0)) (* k j)))
0.3b	(* (sqrt (sqrt 27.0)) (* k j))
3.6b	(* (* t x) (* y 18.0))
6.4b	(* z (* (* t x) (* y 18.0)))

rewrite217.0ms

Algorithm

rewrite-expression-head

Rules

48×	`pow1` `add-cbrt-cube` `add-exp-log`
30×	`pow-prod-down` `prod-exp` `cbrt-unprod`
22×	`associate-l`
18×	`sqrt-prod`
11×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `associate-r` `*-commutative` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

4 → 112

Calls

4 calls:

58.0ms	(* (sqrt (sqrt 27.0)) (* (sqrt (sqrt 27.0)) (* k j)))
37.0ms	(* (sqrt (sqrt 27.0)) (* k j))
26.0ms	(* (* t x) (* y 18.0))
94.0ms	(* z (* (* t x) (* y 18.0)))

series347.0ms

Counts

4 → 12

Calls

4 calls:

76.0ms	(* (sqrt (sqrt 27.0)) (* (sqrt (sqrt 27.0)) (* k j)))
121.0ms	(* (sqrt (sqrt 27.0)) (* k j))
62.0ms	(* (* t x) (* y 18.0))
88.0ms	(* z (* (* t x) (* y 18.0)))

simplify1.4s

Counts

124 → 124

Iterations

Iter	Nodes
done	5001
2	1597
1	400
0	159

prune1.0s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize79.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma b c (- (* z (* (* t x) (* y 18.0))) (fma 4.0 (fma t a (* x i)) (* j (* 27.0 k)))))
0.5b	(* j (* 27.0 k))
3.6b	(* (* t x) (* y 18.0))
6.4b	(* z (* (* t x) (* y 18.0)))

rewrite161.0ms

Algorithm

rewrite-expression-head

Rules

39×	`pow1` `add-cbrt-cube` `add-exp-log`
24×	`pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`associate-l`
6×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`associate-r` `*-commutative`
1×	`fma-udef`

Counts

4 → 87

Calls

4 calls:

0.0ms	(fma b c (- (* z (* (* t x) (* y 18.0))) (fma 4.0 (fma t a (* x i)) (* j (* 27.0 k)))))
13.0ms	(* j (* 27.0 k))
25.0ms	(* (* t x) (* y 18.0))
120.0ms	(* z (* (* t x) (* y 18.0)))

series14.4s

Counts

4 → 12

Calls

4 calls:

14.3s	(fma b c (- (* z (* (* t x) (* y 18.0))) (fma 4.0 (fma t a (* x i)) (* j (* 27.0 k)))))
31.0ms	(* j (* 27.0 k))
51.0ms	(* (* t x) (* y 18.0))
66.0ms	(* z (* (* t x) (* y 18.0)))

simplify1.3s

Counts

99 → 99

Iterations

Iter	Nodes
done	5000
2	1400
1	365
0	152

prune553.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes1.3s

Accuracy

52.9% (2.0b remaining)

Error of 2.1b against oracle of 0.0b and baseline of 4.4b

bsearch383.0ms

Steps

Iters	Range		Point
11	8.28781306557297e+79	1.469544142548561e+103	9.964823125151871e+79
7	-1.9684634391419634e-31	-9.651518956096097e-34	-5.675593987322069e-32

simplify8.0ms

Iterations

Iter	Nodes
done	55
1	55
0	39

end0.0ms

sample4.5s

Algorithm

intervals

Results

3.3s

16191×

body

valid