Details

sample53.0ms

Algorithm

intervals

Results

21.0ms

360×

body

valid

simplify3.4s

Counts

1 → 1

Iterations

Useful iterations: 2 (12.0ms)

Iter	Nodes	Cost
0	17	17
1	35	17
2	92	16
3	253	16
4	506	16
5	629	16
6	704	16
7	741	16
8	894	16
9	1084	16
10	1088	16
done	1088	16

prune17.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 2.4b

localize28.0ms

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)
4.2b	(* (* (* y 9.0) z) t)

rewrite197.0ms

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:

19.0ms	(- (* x 2.0) (* (* (* y 9.0) z) t))
30.0ms	(* (* a 27.0) b)
31.0ms	(* (* y 9.0) z)
112.0ms	(* (* (* y 9.0) z) t)

series286.0ms

Counts

4 → 12

Calls

4 calls:

154.0ms	(- (* x 2.0) (* (* (* y 9.0) z) t))
33.0ms	(* (* a 27.0) b)
52.0ms	(* (* y 9.0) z)
46.0ms	(* (* (* y 9.0) z) t)

simplify1.8s

Counts

91 → 91

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	146	914
1	367	869
2	1519	762
done	5000	740

prune432.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (* x 2.0) (* (* y 9.0) (* t z))) (* (* a 27.0) b))
0.0b	(- (* x 2.0) (* (* y 9.0) (* t z)))
0.2b	(* (* a 27.0) b)
4.6b	(* (* y 9.0) (* t z))

rewrite160.0ms

Algorithm

rewrite-expression-head

Rules

21×	`pow1` `add-exp-log` `add-cbrt-cube`
11×	`pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`expm1-log1p-u` `associate-r` `log1p-expm1-u`
3×	`associate-+l+` `fma-def`
2×	`sub-neg` `diff-log` `associate-l` `prod-diff` `sum-log` `*-commutative`
1×	`+-commutative` `associate-+l-` `flip3--` `flip3-+` `fma-neg` `flip--` `flip-+`

Counts

4 → 81

Calls

4 calls:

49.0ms	(+ (- (* x 2.0) (* (* y 9.0) (* t z))) (* (* a 27.0) b))
19.0ms	(- (* x 2.0) (* (* y 9.0) (* t z)))
35.0ms	(* (* a 27.0) b)
55.0ms	(* (* y 9.0) (* t z))

series501.0ms

Counts

4 → 12

Calls

4 calls:

269.0ms	(+ (- (* x 2.0) (* (* y 9.0) (* t z))) (* (* a 27.0) b))
130.0ms	(- (* x 2.0) (* (* y 9.0) (* t z)))
42.0ms	(* (* a 27.0) b)
59.0ms	(* (* y 9.0) (* t z))

simplify1.7s

Counts

93 → 93

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	152	1246
1	410	1162
2	1746	1028
done	5000	1017

prune364.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize30.0ms

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))
4.2b	(* (* 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-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 (* z 9.0)) t))
33.0ms	(* (* a 27.0) b)
20.0ms	(* y (* z 9.0))
77.0ms	(* (* y (* z 9.0)) t)

series273.0ms

Counts

4 → 12

Calls

4 calls:

142.0ms	(- (* x 2.0) (* (* y (* z 9.0)) t))
39.0ms	(* (* a 27.0) b)
48.0ms	(* y (* z 9.0))
44.0ms	(* (* y (* z 9.0)) t)

simplify1.9s

Counts

91 → 91

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	144	913
1	359	870
2	1510	767
done	5000	741

prune449.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x 2.0) (* y (* (* z 9.0) t)))
0.2b	(* (* z 9.0) t)
0.2b	(* (* a 27.0) b)
4.5b	(* y (* (* z 9.0) t))

rewrite123.0ms

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 (* (* z 9.0) t)))
19.0ms	(* (* z 9.0) t)
21.0ms	(* (* a 27.0) b)
71.0ms	(* y (* (* z 9.0) t))

series211.0ms

Counts

4 → 12

Calls

4 calls:

120.0ms	(- (* x 2.0) (* y (* (* z 9.0) t)))
25.0ms	(* (* z 9.0) t)
30.0ms	(* (* a 27.0) b)
36.0ms	(* y (* (* z 9.0) t))

simplify1.5s

Counts

91 → 91

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	145	913
1	368	870
2	1484	763
done	5000	741

prune438.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

regimes709.0ms

Accuracy

43.4% (2.0b remaining)

Error of 2.0b against oracle of 0.0b and baseline of 3.5b

bsearch133.0ms

Steps

Iters	Range		Point
8	1.1594387370897154e-27	2.2693293181536202e-23	1.551449981725597e-26

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	38
1	35	38
done	35	38

end0.0ms

sample2.1s

Algorithm

intervals

Results

1.1s

10985×

body

valid