Details

sample119.0ms

Algorithm

intervals

Results

66.0ms

512×

body

valid

simplify6.3s

Counts

1 → 1

Iterations

Useful iterations: 5 (5.2s)

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

prune26.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.6b

localize53.0ms

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)

rewrite391.0ms

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)
25.0ms	(* (* x 18.0) y)
249.0ms	(* (* (* (* x 18.0) y) z) t)
85.0ms	(* (* (* x 18.0) y) z)

series158.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(* (* j 27.0) k)
28.0ms	(* (* x 18.0) y)
56.0ms	(* (* (* (* x 18.0) y) z) t)
45.0ms	(* (* (* x 18.0) y) z)

simplify1.5s

Counts

101 → 101

Iterations

Useful iterations: 2 (293.0ms)

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

prune424.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.3b

localize32.0ms

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))

rewrite241.0ms

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:

88.0ms	(- (* (* (* x 18.0) y) (* z t)) (* (* a 4.0) t))
21.0ms	(* (* j 27.0) k)
30.0ms	(* (* x 18.0) y)
96.0ms	(* (* (* x 18.0) y) (* z t))

series305.0ms

Counts

4 → 12

Calls

4 calls:

166.0ms	(- (* (* (* x 18.0) y) (* z t)) (* (* a 4.0) t))
28.0ms	(* (* j 27.0) k)
32.0ms	(* (* x 18.0) y)
78.0ms	(* (* (* 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

prune499.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize28.0ms

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))

rewrite167.0ms

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:

62.0ms	(- (* (* x (* 18.0 y)) (* z t)) (* (* a 4.0) t))
18.0ms	(* (* j 27.0) k)
18.0ms	(* x (* 18.0 y))
66.0ms	(* (* x (* 18.0 y)) (* z t))

series201.0ms

Counts

4 → 12

Calls

4 calls:

111.0ms	(- (* (* x (* 18.0 y)) (* z t)) (* (* a 4.0) t))
19.0ms	(* (* j 27.0) k)
24.0ms	(* x (* 18.0 y))
47.0ms	(* (* x (* 18.0 y)) (* z t))

simplify1.2s

Counts

98 → 98

Iterations

Useful iterations: done (1.2s)

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

prune560.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize29.0ms

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)

rewrite341.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 89

Calls

4 calls:

19.0ms	(* j (* 27.0 k))
20.0ms	(* (* x 18.0) y)
213.0ms	(* (* (* (* x 18.0) y) z) t)
85.0ms	(* (* (* x 18.0) y) z)

series122.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(* j (* 27.0 k))
21.0ms	(* (* x 18.0) y)
52.0ms	(* (* (* (* x 18.0) y) z) t)
30.0ms	(* (* (* x 18.0) y) z)

simplify1.6s

Counts

101 → 101

Iterations

Useful iterations: 2 (300.0ms)

Iter	Nodes	Cost
0	143	971
1	350	943
2	1684	737
done	5000	737

prune489.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

regimes1.5s

Accuracy

74.7% (1.4b remaining)

Error of 1.5b against oracle of 0.1b and baseline of 5.7b

bsearch3.0ms

simplify6.0ms

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	43	149
1	64	119
done	64	119

end0.0ms

sample4.7s

Algorithm

intervals

Results

3.1s

15963×

body

valid