Details

sample201.0ms

Algorithm

intervals

Results

122.0ms

488×

body

valid

simplify5.5s

Counts

1 → 1

Iterations

Iter	Nodes
done	5002
4	2723
3	755
2	221
1	67
0	28

prune23.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 2.3b

localize61.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* 27.0 j) k)
0.2b	(* x (* z 18.0))
2.2b	(fma (* y (* x (* z 18.0))) t (- (* b c) (fma 4.0 (fma t a (* i x)) (* (* 27.0 j) k))))
5.6b	(* y (* x (* z 18.0)))

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 77

Calls

4 calls:

16.0ms	(* (* 27.0 j) k)
25.0ms	(* x (* z 18.0))
0.0ms	(fma (* y (* x (* z 18.0))) t (- (* b c) (fma 4.0 (fma t a (* i x)) (* (* 27.0 j) k))))
43.0ms	(* y (* x (* z 18.0)))

series3.8s

Counts

4 → 12

Calls

4 calls:

25.0ms	(* (* 27.0 j) k)
50.0ms	(* x (* z 18.0))
3.7s	(fma (* y (* x (* z 18.0))) t (- (* b c) (fma 4.0 (fma t a (* i x)) (* (* 27.0 j) k))))
59.0ms	(* y (* x (* z 18.0)))

simplify1.9s

Counts

89 → 89

Iterations

Iter	Nodes
done	5001
2	1213
1	315
0	136

prune866.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 1.4b

localize65.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 27.0 (* j k))
0.2b	(* x (* z 18.0))
2.2b	(fma (* y (* x (* z 18.0))) t (- (* b c) (fma 4.0 (fma t a (* i x)) (* 27.0 (* j k)))))
5.6b	(* y (* x (* z 18.0)))

rewrite103.0ms

Algorithm

rewrite-expression-head

Rules

23×	`pow1` `add-cbrt-cube` `add-exp-log`
12×	`pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`associate-l`
7×	`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 → 77

Calls

4 calls:

13.0ms	(* 27.0 (* j k))
25.0ms	(* x (* z 18.0))
0.0ms	(fma (* y (* x (* z 18.0))) t (- (* b c) (fma 4.0 (fma t a (* i x)) (* 27.0 (* j k)))))
64.0ms	(* y (* x (* z 18.0)))

series3.7s

Counts

4 → 12

Calls

4 calls:

39.0ms	(* 27.0 (* j k))
37.0ms	(* x (* z 18.0))
3.6s	(fma (* y (* x (* z 18.0))) t (- (* b c) (fma 4.0 (fma t a (* i x)) (* 27.0 (* j k)))))
38.0ms	(* y (* x (* z 18.0)))

simplify3.8s

Counts

89 → 89

Iterations

Iter	Nodes
done	5000
3	4964
2	1148
1	299
0	132

prune967.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 1.4b

localize44.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 27.0 (* j k))
0.2b	(* x (* z 18.0))
4.6b	(* (* y (* x (* z 18.0))) t)
5.6b	(* y (* x (* z 18.0)))

rewrite250.0ms

Algorithm

rewrite-expression-head

Rules

37×	`pow1` `add-cbrt-cube` `add-exp-log`
22×	`pow-prod-down` `prod-exp` `cbrt-unprod`
10×	`associate-l`
8×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
6×	`associate-r`
4×	`expm1-log1p-u` `*-commutative` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

4 → 93

Calls

4 calls:

27.0ms	(* 27.0 (* j k))
28.0ms	(* x (* z 18.0))
128.0ms	(* (* y (* x (* z 18.0))) t)
64.0ms	(* y (* x (* z 18.0)))

series227.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(* 27.0 (* j k))
41.0ms	(* x (* z 18.0))
94.0ms	(* (* y (* x (* z 18.0))) t)
58.0ms	(* y (* x (* z 18.0)))

simplify1.6s

Counts

105 → 105

Iterations

Iter	Nodes
done	5005
2	1509
1	349
0	140

prune962.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.4b

localize51.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 27.0 (* j k))
0.2b	(* x (* z 18.0))
4.4b	(* y (* (* x (* z 18.0)) t))
6.0b	(* (* x (* z 18.0)) t)

rewrite203.0ms

Algorithm

rewrite-expression-head

Rules

37×	`pow1` `add-cbrt-cube` `add-exp-log`
22×	`pow-prod-down` `prod-exp` `cbrt-unprod`
10×	`associate-l`
8×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
6×	`associate-r`
4×	`expm1-log1p-u` `*-commutative` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

4 → 93

Calls

4 calls:

15.0ms	(* 27.0 (* j k))
14.0ms	(* x (* z 18.0))
135.0ms	(* y (* (* x (* z 18.0)) t))
37.0ms	(* (* x (* z 18.0)) t)

series173.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(* 27.0 (* j k))
35.0ms	(* x (* z 18.0))
57.0ms	(* y (* (* x (* z 18.0)) t))
51.0ms	(* (* x (* z 18.0)) t)

simplify1.6s

Counts

105 → 105

Iterations

Iter	Nodes
done	5000
2	1485
1	353
0	141

prune1.0s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.1b

regimes2.1s

Accuracy

11.9% (3.7b remaining)

Error of 4.0b against oracle of 0.3b and baseline of 4.5b

bsearch388.0ms

Steps

Iters	Range		Point
8	-5.5581546779217e+155	-2.7206542767655235e+151	-7.654247913107458e+153

simplify11.0ms

Iterations

Iter	Nodes
done	50
1	50
0	36

end0.0ms

sample6.2s

Algorithm

intervals

Results

4.6s

16188×

body

valid