Details

sample143.0ms

Algorithm

intervals

Results

75.0ms

512×

body

valid

simplify6.6s

Counts

1 → 1

Iterations

Useful iterations: 5 (5.5s)

Iter	Nodes	Cost
0	28	31
1	67	29
2	221	27
3	757	27
4	2623	27
5	4397	26
done	5000	26

prune33.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.6b

localize36.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* j 27.0) k)
0.2b	(* (* x 18.0) y)
4.6b	(* (* (* (* x 18.0) y) z) t)
4.8b	(* (* (* x 18.0) y) z)

rewrite347.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 89

Calls

4 calls:

27.0ms	(* (* j 27.0) k)
21.0ms	(* (* x 18.0) y)
208.0ms	(* (* (* (* x 18.0) y) z) t)
85.0ms	(* (* (* x 18.0) y) z)

series142.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(* (* j 27.0) k)
23.0ms	(* (* x 18.0) y)
54.0ms	(* (* (* (* x 18.0) y) z) t)
42.0ms	(* (* (* x 18.0) y) z)

simplify1.5s

Counts

101 → 101

Iterations

Useful iterations: 2 (352.0ms)

Iter	Nodes	Cost
0	145	974
1	358	944
2	1724	738
done	5001	738

prune481.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.3b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* (* (* x 18.0) y) (* z t)) (* (* a 4.0) t))
0.2b	(* (* j 27.0) k)
0.2b	(* (* x 18.0) y)
7.5b	(* (* (* x 18.0) y) (* z t))

rewrite233.0ms

Algorithm

rewrite-expression-head

Rules

35×	`pow1` `add-exp-log` `add-cbrt-cube`
21×	`pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`associate-r`
6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `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 → 86

Calls

4 calls:

77.0ms	(- (* (* (* x 18.0) y) (* z t)) (* (* a 4.0) t))
18.0ms	(* (* j 27.0) k)
20.0ms	(* (* x 18.0) y)
114.0ms	(* (* (* x 18.0) y) (* z t))

series258.0ms

Counts

4 → 12

Calls

4 calls:

143.0ms	(- (* (* (* x 18.0) y) (* z t)) (* (* a 4.0) t))
23.0ms	(* (* j 27.0) k)
27.0ms	(* (* x 18.0) y)
65.0ms	(* (* (* x 18.0) y) (* z t))

simplify1.5s

Counts

98 → 98

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	161	1188
1	417	1134
2	1822	900
done	5001	893

prune513.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* (* x (* 18.0 y)) (* z t)) (* (* a 4.0) t))
0.2b	(* (* j 27.0) k)
0.2b	(* x (* 18.0 y))
7.5b	(* (* x (* 18.0 y)) (* z t))

rewrite213.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 86

Calls

4 calls:

67.0ms	(- (* (* x (* 18.0 y)) (* z t)) (* (* a 4.0) t))
27.0ms	(* (* j 27.0) k)
24.0ms	(* x (* 18.0 y))
93.0ms	(* (* x (* 18.0 y)) (* z t))

series258.0ms

Counts

4 → 12

Calls

4 calls:

144.0ms	(- (* (* x (* 18.0 y)) (* z t)) (* (* a 4.0) t))
30.0ms	(* (* j 27.0) k)
30.0ms	(* x (* 18.0 y))
54.0ms	(* (* x (* 18.0 y)) (* z t))

simplify1.3s

Counts

98 → 98

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	159	1187
1	415	1135
2	1774	901
done	5000	894

prune529.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* (* (* x 18.0) y) (* z t)) (* (* a 4.0) t))
0.2b	(* j (* 27.0 k))
0.2b	(* (* x 18.0) y)
7.5b	(* (* (* x 18.0) y) (* z t))

rewrite233.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 86

Calls

4 calls:

78.0ms	(- (* (* (* x 18.0) y) (* z t)) (* (* a 4.0) t))
17.0ms	(* j (* 27.0 k))
19.0ms	(* (* x 18.0) y)
115.0ms	(* (* (* x 18.0) y) (* z t))

series285.0ms

Counts

4 → 12

Calls

4 calls:

159.0ms	(- (* (* (* x 18.0) y) (* z t)) (* (* a 4.0) t))
24.0ms	(* j (* 27.0 k))
32.0ms	(* (* x 18.0) y)
70.0ms	(* (* (* x 18.0) y) (* z t))

simplify1.8s

Counts

98 → 98

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	159	1185
1	409	1133
2	1776	899
done	5000	892

prune686.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

regimes1.8s

Accuracy

32.7% (4.3b remaining)

Error of 4.5b against oracle of 0.2b and baseline of 6.6b

bsearch631.0ms

Steps

Iters	Range	Point
8	5.4741783242840504e+104	2.882232215330552e+108	7.835535722256598e+104
7	-5.937076841674776e+27	-3.467054970764688e+26	-3.910832963081965e+26
8	-3.192449164783506e+181	-4.9254183615142034e+176	-7.885911950305318e+178

Iters

Range

Point

5.4741783242840504e+104

2.882232215330552e+108

7.835535722256598e+104

-5.937076841674776e+27

-3.467054970764688e+26

-3.910832963081965e+26

-3.192449164783506e+181

-4.9254183615142034e+176

-7.885911950305318e+178

simplify17.0ms

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	58	138
1	85	136
done	85	136

end0.0ms

sample5.3s

Algorithm

intervals

Results

3.4s

15963×

body

valid