Details

sample159.0ms

Algorithm

intervals

Results

113.0ms

509×

body

valid

simplify1.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	2001
4	2001
3	723
2	217
1	67
0	28

prune29.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 3.2b

localize51.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* (* y z) (* x 18.0)) (* a 4.0))
0.1b	(fma 27.0 (* k j) (* (* x 4.0) i))
2.9b	(fma (- (* (* y z) (* x 18.0)) (* a 4.0)) t (- (* c b) (fma 27.0 (* k j) (* (* x 4.0) i))))
3.3b	(* (* y z) (* x 18.0))

rewrite120.0ms

Algorithm

rewrite-expression-head

Rules

16×	`pow1` `add-cbrt-cube` `add-exp-log`
8×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`add-log-exp`
4×	`add-sqr-sqrt` `expm1-log1p-u` `*-un-lft-identity` `add-cube-cbrt` `insert-posit16` `log1p-expm1-u`
2×	`fma-udef`
1×	`sub-neg` `flip3--` `fma-neg` `diff-log` `associate-r` `associate-l` `prod-diff` `*-commutative` `flip--`

Counts

4 → 64

Calls

4 calls:

68.0ms	(- (* (* y z) (* x 18.0)) (* a 4.0))
0.0ms	(fma 27.0 (* k j) (* (* x 4.0) i))
1.0ms	(fma (- (* (* y z) (* x 18.0)) (* a 4.0)) t (- (* c b) (fma 27.0 (* k j) (* (* x 4.0) i))))
49.0ms	(* (* y z) (* x 18.0))

series4.5s

Counts

4 → 12

Calls

4 calls:

144.0ms	(- (* (* y z) (* x 18.0)) (* a 4.0))
120.0ms	(fma 27.0 (* k j) (* (* x 4.0) i))
4.2s	(fma (- (* (* y z) (* x 18.0)) (* a 4.0)) t (- (* c b) (fma 27.0 (* k j) (* (* x 4.0) i))))
57.0ms	(* (* y z) (* x 18.0))

simplify1.2s

Counts

76 → 76

Iterations

Iter	Nodes
done	2002
3	2002
2	1007
1	305
0	131

prune1.6s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 2.4b

localize49.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma 27.0 (* k j) (* (* x 4.0) i))
0.2b	(* z (* x 18.0))
2.9b	(fma (- (* y (* z (* x 18.0))) (* a 4.0)) t (- (* c b) (fma 27.0 (* k j) (* (* x 4.0) i))))
5.0b	(* y (* z (* x 18.0)))

rewrite93.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 67

Calls

4 calls:

0.0ms	(fma 27.0 (* k j) (* (* x 4.0) i))
16.0ms	(* z (* x 18.0))
0.0ms	(fma (- (* y (* z (* x 18.0))) (* a 4.0)) t (- (* c b) (fma 27.0 (* k j) (* (* x 4.0) i))))
75.0ms	(* y (* z (* x 18.0)))

series4.3s

Counts

4 → 12

Calls

4 calls:

115.0ms	(fma 27.0 (* k j) (* (* x 4.0) i))
47.0ms	(* z (* x 18.0))
4.1s	(fma (- (* y (* z (* x 18.0))) (* a 4.0)) t (- (* c b) (fma 27.0 (* k j) (* (* x 4.0) i))))
32.0ms	(* y (* z (* x 18.0)))

simplify1.8s

Counts

79 → 79

Iterations

Iter	Nodes
done	2029
3	2029
2	744
1	241
0	117

prune2.0s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 2.4b

localize97.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* a 4.0) t)
0.4b	(* (* x 18.0) y)
6.4b	(* (* (* x 18.0) y) z)
6.6b	(* (* (* (* x 18.0) y) z) t)

rewrite343.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 93

Calls

4 calls:

24.0ms	(* (* a 4.0) t)
15.0ms	(* (* x 18.0) y)
56.0ms	(* (* (* x 18.0) y) z)
246.0ms	(* (* (* (* x 18.0) y) z) t)

series261.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(* (* a 4.0) t)
55.0ms	(* (* x 18.0) y)
69.0ms	(* (* (* x 18.0) y) z)
89.0ms	(* (* (* (* x 18.0) y) z) t)

simplify1.5s

Counts

105 → 105

Iterations

Iter	Nodes
done	2010
3	2010
2	1340
1	371
0	142

prune2.8s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.5b

localize54.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* j 27.0) k)
0.2b	(* (* a 4.0) t)
3.0b	(* x (* z y))
6.7b	(* t (* x (* z y)))

rewrite141.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 87

Calls

4 calls:

20.0ms	(* (* j 27.0) k)
30.0ms	(* (* a 4.0) t)
38.0ms	(* x (* z y))
52.0ms	(* t (* x (* z y)))

series188.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(* (* j 27.0) k)
31.0ms	(* (* a 4.0) t)
44.0ms	(* x (* z y))
77.0ms	(* t (* x (* z y)))

simplify1.3s

Counts

99 → 99

Iterations

Iter	Nodes
done	2002
3	2002
2	1240
1	356
0	144

prune2.3s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

regimes2.5s

Accuracy

31.1% (3.9b remaining)

Error of 4.1b against oracle of 0.2b and baseline of 5.8b

bsearch638.0ms

Steps

Iters	Range		Point
9	2.220004711353606e-08	0.12319745439470399	7.540536889545399e-05
9	-3.142704272615928e-259	-6.880355445572115e-268	-5.442676120004847e-262

simplify10.0ms

Iterations

Iter	Nodes
done	66
1	66
0	44

end0.0ms

sample5.9s

Algorithm

intervals

Results

4.8s

16007×

body

valid