Details

sample144.0ms

Algorithm

intervals

Results

69.0ms

512×

body

valid

simplify7.3s

Counts

1 → 1

Iterations

Useful iterations: 5 (6.3s)

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

prune15.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.6b

localize27.0ms

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)

rewrite328.0ms

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:

19.0ms	(* (* j 27.0) k)
21.0ms	(* (* x 18.0) y)
219.0ms	(* (* (* (* x 18.0) y) z) t)
65.0ms	(* (* (* x 18.0) y) z)

series198.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(* (* j 27.0) k)
37.0ms	(* (* x 18.0) y)
94.0ms	(* (* (* (* x 18.0) y) z) t)
34.0ms	(* (* (* x 18.0) y) z)

simplify1.7s

Counts

101 → 101

Iterations

Useful iterations: 2 (436.0ms)

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

prune532.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.3b

localize53.0ms

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))

rewrite633.0ms

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:

495.0ms	(- (* (* (* x 18.0) y) (* z t)) (* (* a 4.0) t))
28.0ms	(* (* j 27.0) k)
24.0ms	(* (* x 18.0) y)
80.0ms	(* (* (* x 18.0) y) (* z t))

series279.0ms

Counts

4 → 12

Calls

4 calls:

141.0ms	(- (* (* (* x 18.0) y) (* z t)) (* (* a 4.0) t))
31.0ms	(* (* j 27.0) k)
28.0ms	(* (* x 18.0) y)
79.0ms	(* (* (* x 18.0) y) (* z t))

simplify1.4s

Counts

98 → 98

Iterations

Useful iterations: done (1.4s)

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

prune590.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize33.0ms

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))

rewrite254.0ms

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:

93.0ms	(- (* (* x (* 18.0 y)) (* z t)) (* (* a 4.0) t))
34.0ms	(* (* j 27.0) k)
19.0ms	(* x (* 18.0 y))
102.0ms	(* (* x (* 18.0 y)) (* z t))

series326.0ms

Counts

4 → 12

Calls

4 calls:

169.0ms	(- (* (* x (* 18.0 y)) (* z t)) (* (* a 4.0) t))
30.0ms	(* (* j 27.0) k)
37.0ms	(* x (* 18.0 y))
90.0ms	(* (* x (* 18.0 y)) (* z t))

simplify1.4s

Counts

98 → 98

Iterations

Useful iterations: done (1.4s)

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

prune598.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize30.0ms

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)

rewrite425.0ms

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:

29.0ms	(* j (* 27.0 k))
28.0ms	(* (* x 18.0) y)
279.0ms	(* (* (* (* x 18.0) y) z) t)
84.0ms	(* (* (* x 18.0) y) z)

series210.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(* j (* 27.0 k))
37.0ms	(* (* x 18.0) y)
83.0ms	(* (* (* (* x 18.0) y) z) t)
56.0ms	(* (* (* x 18.0) y) z)

simplify1.9s

Counts

101 → 101

Iterations

Useful iterations: 2 (391.0ms)

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

prune517.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

regimes1.8s

Accuracy

74.7% (1.4b remaining)

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

bsearch5.0ms

simplify11.0ms

Iterations

Useful iterations: 1 (6.0ms)

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

end0.0ms

sample5.2s

Algorithm

intervals

Results

3.4s

15963×

body

valid