Details

sample195.0ms

Algorithm

intervals

Results

126.0ms

521×

body

valid

simplify1.2s

Counts

1 → 1

Iterations

Iter	Nodes
4	2295
3	723
2	217
1	67
0	28

prune25.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 5.0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* c b) (fma 27.0 (* k j) (* (* x 4.0) i)))
0.2b	(fma 27.0 (* k j) (* (* x 4.0) i))
5.0b	(fma (- (* (* y z) (* x 18.0)) (* a 4.0)) t (- (* c b) (fma 27.0 (* k j) (* (* x 4.0) i))))
5.2b	(* (* y z) (* x 18.0))

rewrite31.0ms

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`
5×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
3×	`prod-diff` `fma-udef`
1×	`sub-neg` `flip3--` `fma-neg` `diff-log` `associate-r` `associate-l` `*-commutative` `flip--` `associate--r+`

Counts

4 → 67

Calls

4 calls:

8.0ms	(- (* c b) (fma 27.0 (* k j) (* (* x 4.0) i)))
0.0ms	(fma 27.0 (* k j) (* (* x 4.0) i))
0.0ms	(fma (- (* (* y z) (* x 18.0)) (* a 4.0)) t (- (* c b) (fma 27.0 (* k j) (* (* x 4.0) i))))
22.0ms	(* (* y z) (* x 18.0))

series3.7s

Counts

4 → 12

Calls

4 calls:

93.0ms	(- (* c b) (fma 27.0 (* k j) (* (* x 4.0) i)))
69.0ms	(fma 27.0 (* k j) (* (* x 4.0) i))
3.5s	(fma (- (* (* y z) (* x 18.0)) (* a 4.0)) t (- (* c b) (fma 27.0 (* k j) (* (* x 4.0) i))))
28.0ms	(* (* y z) (* x 18.0))

simplify1.7s

Counts

79 → 79

Iterations

Iter	Nodes
3	3993
2	1002
1	318
0	141

prune1.5s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 4.3b

localize48.0ms

Local error

Found 4 expressions with local error:

0.2b	(fma 27.0 (* k j) (* (* x 4.0) i))
0.2b	(* z (* x 18.0))
5.0b	(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)))

rewrite52.0ms

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))
13.0ms	(* 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))))
38.0ms	(* y (* z (* x 18.0)))

series3.9s

Counts

4 → 12

Calls

4 calls:

81.0ms	(fma 27.0 (* k j) (* (* x 4.0) i))
36.0ms	(* z (* x 18.0))
3.7s	(fma (- (* y (* z (* x 18.0))) (* a 4.0)) t (- (* c b) (fma 27.0 (* k j) (* (* x 4.0) i))))
42.0ms	(* y (* z (* x 18.0)))

simplify1.1s

Counts

79 → 79

Iterations

Iter	Nodes
3	3112
2	744
1	241
0	117

prune1.6s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 4.3b

localize39.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* c b) (fma j (* k 27.0) (* (* 4.0 i) x)))
0.1b	(fma j (* k 27.0) (* (* 4.0 i) x))
5.0b	(fma (- (* (* y z) (* x 18.0)) (* a 4.0)) t (- (* c b) (fma j (* k 27.0) (* (* 4.0 i) x))))
5.2b	(* (* y z) (* x 18.0))

rewrite73.0ms

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`
5×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
3×	`prod-diff` `fma-udef`
1×	`sub-neg` `flip3--` `fma-neg` `diff-log` `associate-r` `associate-l` `*-commutative` `flip--` `associate--r+`

Counts

4 → 67

Calls

4 calls:

23.0ms	(- (* c b) (fma j (* k 27.0) (* (* 4.0 i) x)))
0.0ms	(fma j (* k 27.0) (* (* 4.0 i) x))
0.0ms	(fma (- (* (* y z) (* x 18.0)) (* a 4.0)) t (- (* c b) (fma j (* k 27.0) (* (* 4.0 i) x))))
47.0ms	(* (* y z) (* x 18.0))

series4.0s

Counts

4 → 12

Calls

4 calls:

147.0ms	(- (* c b) (fma j (* k 27.0) (* (* 4.0 i) x)))
107.0ms	(fma j (* k 27.0) (* (* 4.0 i) x))
3.7s	(fma (- (* (* y z) (* x 18.0)) (* a 4.0)) t (- (* c b) (fma j (* k 27.0) (* (* 4.0 i) x))))
44.0ms	(* (* y z) (* x 18.0))

simplify1.7s

Counts

79 → 79

Iterations

Iter	Nodes
3	4744
2	1097
1	319
0	141

prune1.5s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 4.3b

localize63.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 18.0) y)
0.3b	(* (* j 27.0) k)
6.1b	(* (* (* x 18.0) y) z)
7.4b	(* (* (* (* x 18.0) y) z) t)

rewrite324.0ms

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:

21.0ms	(* (* x 18.0) y)
14.0ms	(* (* j 27.0) k)
55.0ms	(* (* (* x 18.0) y) z)
231.0ms	(* (* (* (* x 18.0) y) z) t)

series168.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(* (* x 18.0) y)
38.0ms	(* (* j 27.0) k)
37.0ms	(* (* (* x 18.0) y) z)
54.0ms	(* (* (* (* x 18.0) y) z) t)

simplify6.1s

Counts

105 → 105

Iterations

Iter	Nodes
3	8441
2	1559
1	379
0	149

prune2.9s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.8b

regimes2.1s

Accuracy

30.3% (3.8b remaining)

Error of 4.4b against oracle of 0.6b and baseline of 6.0b

bsearch470.0ms

Steps

Iters	Range		Point
10	3.4281564633346393e+114	1.1095446602793713e+131	4.36042650378674e+116
7	-1.565145524626111e+38	-1.1593995580640188e+36	-1.4624631829341433e+37

simplify9.0ms

Iterations

Iter	Nodes
2	63
1	63
0	44

end0.0ms

sample5.8s

Algorithm

intervals

Results

4.6s

16060×

body

valid