Details

sample125.0ms

Algorithm

intervals

Results

64.0ms

512×

body

valid

simplify7.1s

Counts

1 → 1

Iterations

Useful iterations: 5 (5.9s)

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

prune20.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.6b

localize31.0ms

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)

rewrite362.0ms

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:

18.0ms	(* (* j 27.0) k)
18.0ms	(* (* x 18.0) y)
259.0ms	(* (* (* (* x 18.0) y) z) t)
63.0ms	(* (* (* x 18.0) y) z)

series129.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(* (* j 27.0) k)
22.0ms	(* (* x 18.0) y)
50.0ms	(* (* (* (* x 18.0) y) z) t)
34.0ms	(* (* (* x 18.0) y) z)

simplify1.6s

Counts

101 → 101

Iterations

Useful iterations: 2 (297.0ms)

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

prune439.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.3b

localize26.0ms

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))

rewrite195.0ms

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:

78.0ms	(- (* (* (* x 18.0) y) (* z t)) (* (* a 4.0) t))
18.0ms	(* (* j 27.0) k)
20.0ms	(* (* x 18.0) y)
75.0ms	(* (* (* x 18.0) y) (* z t))

series259.0ms

Counts

4 → 12

Calls

4 calls:

164.0ms	(- (* (* (* x 18.0) y) (* z t)) (* (* a 4.0) t))
20.0ms	(* (* j 27.0) k)
22.0ms	(* (* x 18.0) y)
53.0ms	(* (* (* x 18.0) y) (* z t))

simplify1.4s

Counts

98 → 98

Iterations

Useful iterations: done (1.3s)

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

prune497.0ms

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))

rewrite231.0ms

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:

86.0ms	(- (* (* x (* 18.0 y)) (* z t)) (* (* a 4.0) t))
24.0ms	(* (* j 27.0) k)
26.0ms	(* x (* 18.0 y))
92.0ms	(* (* x (* 18.0 y)) (* z t))

series274.0ms

Counts

4 → 12

Calls

4 calls:

159.0ms	(- (* (* x (* 18.0 y)) (* z t)) (* (* a 4.0) t))
30.0ms	(* (* j 27.0) k)
24.0ms	(* x (* 18.0 y))
61.0ms	(* (* 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

prune494.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize37.0ms

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))

rewrite197.0ms

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:

83.0ms	(- (* (* (* x 18.0) y) (* z t)) (* (* a 4.0) t))
20.0ms	(* j (* 27.0 k))
22.0ms	(* (* x 18.0) y)
68.0ms	(* (* (* x 18.0) y) (* z t))

series263.0ms

Counts

4 → 12

Calls

4 calls:

153.0ms	(- (* (* (* x 18.0) y) (* z t)) (* (* a 4.0) t))
19.0ms	(* j (* 27.0 k))
27.0ms	(* (* x 18.0) y)
63.0ms	(* (* (* x 18.0) y) (* z t))

simplify1.4s

Counts

98 → 98

Iterations

Useful iterations: done (1.4s)

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

prune491.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

regimes1.5s

Accuracy

32.7% (4.3b remaining)

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

bsearch649.0ms

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

simplify9.0ms

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	58	138
1	84	136
done	84	136

end0.0ms

sample4.9s

Algorithm

intervals

Results

3.1s

15963×

body

valid