Details

sample85.0ms

Algorithm

intervals

Results

36.0ms

363×

body

valid

simplify1.9s

Counts

1 → 1

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	17	17
1	35	17
2	92	16
3	257	16
4	601	16
5	1284	16
done	5001	16

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.8b

localize37.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x 2.0) (* (* (* y 9.0) z) t))
0.2b	(* (* y 9.0) z)
0.3b	(* (* a 27.0) b)
5.3b	(* (* (* y 9.0) z) t)

rewrite143.0ms

Algorithm

rewrite-expression-head

Rules

23×	`pow1` `add-exp-log` `add-cbrt-cube`
12×	`pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`associate-r`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`add-log-exp`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`associate-l` `*-commutative`
1×	`sub-neg` `flip3--` `fma-neg` `diff-log` `prod-diff` `flip--`

Counts

4 → 79

Calls

4 calls:

10.0ms	(- (* x 2.0) (* (* (* y 9.0) z) t))
20.0ms	(* (* y 9.0) z)
27.0ms	(* (* a 27.0) b)
83.0ms	(* (* (* y 9.0) z) t)

series207.0ms

Counts

4 → 12

Calls

4 calls:

110.0ms	(- (* x 2.0) (* (* (* y 9.0) z) t))
24.0ms	(* (* y 9.0) z)
38.0ms	(* (* a 27.0) b)
35.0ms	(* (* (* y 9.0) z) t)

simplify2.1s

Counts

91 → 91

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	146	914
1	384	869
2	2446	760
done	5001	750

prune459.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x 2.0) (* (* (* y 9.0) z) t))
0.2b	(* a (* 27.0 b))
0.2b	(* (* y 9.0) z)
5.3b	(* (* (* y 9.0) z) t)

rewrite188.0ms

Algorithm

rewrite-expression-head

Rules

23×	`pow1` `add-exp-log` `add-cbrt-cube`
12×	`pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-r*`
6×	`add-log-exp`
5×	`associate-l`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`*-commutative`
1×	`sub-neg` `flip3--` `fma-neg` `diff-log` `prod-diff` `flip--`

Counts

4 → 79

Calls

4 calls:

19.0ms	(- (* x 2.0) (* (* (* y 9.0) z) t))
37.0ms	(* a (* 27.0 b))
34.0ms	(* (* y 9.0) z)
95.0ms	(* (* (* y 9.0) z) t)

series234.0ms

Counts

4 → 12

Calls

4 calls:

133.0ms	(- (* x 2.0) (* (* (* y 9.0) z) t))
30.0ms	(* a (* 27.0 b))
31.0ms	(* (* y 9.0) z)
40.0ms	(* (* (* y 9.0) z) t)

simplify2.2s

Counts

91 → 91

Iterations

Useful iterations: 2 (474.0ms)

Iter	Nodes	Cost
0	144	911
1	374	868
2	2201	739
done	5000	739

prune367.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x 2.0) (* (* y (* z 9.0)) t))
0.2b	(* a (* 27.0 b))
0.2b	(* y (* z 9.0))
5.3b	(* (* y (* z 9.0)) t)

rewrite154.0ms

Algorithm

rewrite-expression-head

Rules

23×	`pow1` `add-exp-log` `add-cbrt-cube`
12×	`pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-l*`
6×	`add-log-exp`
5×	`associate-r`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`*-commutative`
1×	`sub-neg` `flip3--` `fma-neg` `diff-log` `prod-diff` `flip--`

Counts

4 → 79

Calls

4 calls:

19.0ms	(- (* x 2.0) (* (* y (* z 9.0)) t))
33.0ms	(* a (* 27.0 b))
28.0ms	(* y (* z 9.0))
71.0ms	(* (* y (* z 9.0)) t)

series230.0ms

Counts

4 → 12

Calls

4 calls:

131.0ms	(- (* x 2.0) (* (* y (* z 9.0)) t))
30.0ms	(* a (* 27.0 b))
30.0ms	(* y (* z 9.0))
40.0ms	(* (* y (* z 9.0)) t)

simplify1.6s

Counts

91 → 91

Iterations

Useful iterations: 2 (343.0ms)

Iter	Nodes	Cost
0	142	910
1	362	869
2	1724	740
done	5000	740

prune339.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x 2.0) (* (* (* y 9.0) z) t))
0.2b	(* (* y 9.0) z)
0.3b	(* 27.0 (* a b))
5.3b	(* (* (* y 9.0) z) t)

rewrite131.0ms

Algorithm

rewrite-expression-head

Rules

23×	`pow1` `add-exp-log` `add-cbrt-cube`
12×	`pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-r*`
6×	`add-log-exp`
5×	`associate-l`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`*-commutative`
1×	`sub-neg` `flip3--` `fma-neg` `diff-log` `prod-diff` `flip--`

Counts

4 → 79

Calls

4 calls:

10.0ms	(- (* x 2.0) (* (* (* y 9.0) z) t))
24.0ms	(* (* y 9.0) z)
18.0ms	(* 27.0 (* a b))
75.0ms	(* (* (* y 9.0) z) t)

series250.0ms

Counts

4 → 12

Calls

4 calls:

137.0ms	(- (* x 2.0) (* (* (* y 9.0) z) t))
37.0ms	(* (* y 9.0) z)
38.0ms	(* 27.0 (* a b))
37.0ms	(* (* (* y 9.0) z) t)

simplify2.5s

Counts

91 → 91

Iterations

Useful iterations: 2 (410.0ms)

Iter	Nodes	Cost
0	142	911
1	369	868
2	2179	739
done	5002	739

prune443.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes792.0ms

Accuracy

72.9% (0.9b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 3.5b

bsearch165.0ms

Steps

Iters	Range		Point
4	7.698131473562576e+45	1.1002106537292756e+46	7.801380694304143e+45
9	-1.7193630242919104e+134	-2.1384690765553416e+128	-2.1717370533666905e+128

simplify6.0ms

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	32	63
1	50	43
done	50	43

end0.0ms

sample1.9s

Algorithm

intervals

Results

994.0ms

11012×

body

valid