Details

sample176.0ms

Algorithm

intervals

Results

127.0ms

520×

body

valid

simplify1.3s

Counts

1 → 1

Iterations

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

prune349.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 3.9b

localize50.0ms

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))
3.5b	(* (* y z) (* x 18.0))
3.8b	(fma (- (* (* y z) (* x 18.0)) (* a 4.0)) t (- (* c b) (fma 27.0 (* k j) (* (* x 4.0) i))))

rewrite40.0ms

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` `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 → 63

Calls

4 calls:

7.0ms	(- (* c b) (fma 27.0 (* k j) (* (* x 4.0) i)))
0.0ms	(fma 27.0 (* k j) (* (* x 4.0) i))
31.0ms	(* (* y 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))))

series4.1s

Counts

4 → 12

Calls

4 calls:

147.0ms	(- (* c b) (fma 27.0 (* k j) (* (* x 4.0) i)))
76.0ms	(fma 27.0 (* k j) (* (* x 4.0) i))
48.0ms	(* (* y z) (* x 18.0))
3.8s	(fma (- (* (* y z) (* x 18.0)) (* a 4.0)) t (- (* c b) (fma 27.0 (* k j) (* (* x 4.0) i))))

simplify1.6s

Counts

75 → 75

Iterations

Iter	Nodes
3	4219
2	1068
1	321
0	137

prune1.7s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 1.6b

localize49.0ms

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))
2.7b	(* y (* z (* x 18.0)))
3.8b	(fma (- (* y (* z (* x 18.0))) (* a 4.0)) t (- (* c b) (fma 27.0 (* k j) (* (* x 4.0) i))))

rewrite82.0ms

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` `log1p-expm1-u` `add-log-exp`
2×	`associate-r` `*-commutative` `fma-udef`

Counts

4 → 63

Calls

4 calls:

0.0ms	(fma 27.0 (* k j) (* (* x 4.0) i))
24.0ms	(* z (* x 18.0))
55.0ms	(* y (* 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))))

series3.9s

Counts

4 → 12

Calls

4 calls:

76.0ms	(fma 27.0 (* k j) (* (* x 4.0) i))
22.0ms	(* z (* x 18.0))
36.0ms	(* y (* 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))))

simplify1.4s

Counts

75 → 75

Iterations

Iter	Nodes
3	3632
2	803
1	240
0	113

prune1.5s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 1.6b

localize63.0ms

Local error

Found 4 expressions with local error:

0.2b	(fma 27.0 (* k j) (* (* x 4.0) i))
0.3b	(* (* z x) 18.0)
2.7b	(* y (* (* z x) 18.0))
3.8b	(fma (- (* y (* (* z x) 18.0)) (* a 4.0)) t (- (* c b) (fma 27.0 (* k j) (* (* x 4.0) i))))

rewrite74.0ms

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` `add-cube-cbrt`
4×	`expm1-log1p-u` `associate-r` `associate-l` `log1p-expm1-u` `add-log-exp`
2×	`*-commutative` `fma-udef`

Counts

4 → 63

Calls

4 calls:

0.0ms	(fma 27.0 (* k j) (* (* x 4.0) i))
16.0ms	(* (* z x) 18.0)
55.0ms	(* y (* (* z x) 18.0))
1.0ms	(fma (- (* y (* (* z x) 18.0)) (* a 4.0)) t (- (* c b) (fma 27.0 (* k j) (* (* x 4.0) i))))

series3.9s

Counts

4 → 12

Calls

4 calls:

65.0ms	(fma 27.0 (* k j) (* (* x 4.0) i))
33.0ms	(* (* z x) 18.0)
53.0ms	(* y (* (* 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))))

simplify1.6s

Counts

75 → 75

Iterations

Iter	Nodes
3	4042
2	848
1	257
0	116

prune1.3s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 1.6b

localize50.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* z x) 18.0)
0.3b	(* 27.0 (* k j))
2.7b	(* y (* (* z x) 18.0))
3.8b	(fma (- (* y (* (* z x) 18.0)) (* a 4.0)) t (- (* c b) (+ (* 27.0 (* k j)) (* (* x 4.0) i))))

rewrite68.0ms

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` `log1p-expm1-u` `add-log-exp`
3×	`*-commutative`
1×	`fma-udef`

Counts

4 → 73

Calls

4 calls:

16.0ms	(* (* z x) 18.0)
17.0ms	(* 27.0 (* k j))
32.0ms	(* y (* (* z x) 18.0))
0.0ms	(fma (- (* y (* (* z x) 18.0)) (* a 4.0)) t (- (* c b) (+ (* 27.0 (* k j)) (* (* x 4.0) i))))

series3.6s

Counts

4 → 12

Calls

4 calls:

21.0ms	(* (* z x) 18.0)
21.0ms	(* 27.0 (* k j))
30.0ms	(* y (* (* z x) 18.0))
3.5s	(fma (- (* y (* (* z x) 18.0)) (* a 4.0)) t (- (* c b) (+ (* 27.0 (* k j)) (* (* x 4.0) i))))

simplify1.9s

Counts

85 → 85

Iterations

Iter	Nodes
3	4807
2	1145
1	328
0	136

prune1.2s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 1.6b

regimes1.5s

Accuracy

7.9% (3.0b remaining)

Error of 5.2b against oracle of 2.3b and baseline of 5.5b

bsearch403.0ms

Steps

Iters	Range		Point
10	9.567420893965084e-101	2.8088593333065733e-88	3.939674472181009e-99
10	-8.404003850832203e-286	-4.5843098450401264e-297	-7.711355120201642e-286

simplify18.0ms

Iterations

Iter	Nodes
3	81
2	81
1	71
0	51

end0.0ms

sample4.4s

Algorithm

intervals

Results

3.2s

16164×

body

valid