Details

sample55.0ms

Algorithm

intervals

Results

32.0ms

352×

body

valid

simplify5.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
12	4854
11	3636
10	2752
9	2110
8	1794
7	1579
6	1259
5	785
4	479
3	234
2	90
1	35
0	17

prune25.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize36.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (fma (* 27.0 a) b (* x 2.0)) (* z (* (* t y) 9.0)))
0.1b	(fma (* 27.0 a) b (* x 2.0))
0.2b	(* (* t y) 9.0)
4.9b	(* z (* (* t y) 9.0))

rewrite94.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 74

Calls

4 calls:

8.0ms	(- (fma (* 27.0 a) b (* x 2.0)) (* z (* (* t y) 9.0)))
0.0ms	(fma (* 27.0 a) b (* x 2.0))
28.0ms	(* (* t y) 9.0)
55.0ms	(* z (* (* t y) 9.0))

series370.0ms

Counts

4 → 12

Calls

4 calls:

226.0ms	(- (fma (* 27.0 a) b (* x 2.0)) (* z (* (* t y) 9.0)))
73.0ms	(fma (* 27.0 a) b (* x 2.0))
25.0ms	(* (* t y) 9.0)
46.0ms	(* z (* (* t y) 9.0))

simplify1.3s

Counts

86 → 86

Iterations

Iter	Nodes
done	5002
2	1026
1	295
0	122

prune522.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* (* a 27.0) b))
0.2b	(* (* y 9.0) z)
0.2b	(* (* a 27.0) b)
6.7b	(* (* (* y 9.0) z) t)

rewrite146.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 84

Calls

4 calls:

42.0ms	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* (* a 27.0) b))
20.0ms	(* (* y 9.0) z)
19.0ms	(* (* a 27.0) b)
62.0ms	(* (* (* y 9.0) z) t)

series322.0ms

Counts

4 → 12

Calls

4 calls:

225.0ms	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* (* a 27.0) b))
33.0ms	(* (* y 9.0) z)
25.0ms	(* (* a 27.0) b)
39.0ms	(* (* (* y 9.0) z) t)

simplify1.4s

Counts

96 → 96

Iterations

Iter	Nodes
done	5002
2	1490
1	400
0	152

prune641.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (* x 2.0) (* (* y (* 9.0 z)) t)) (* (* a 27.0) b))
0.2b	(* (* a 27.0) b)
0.2b	(* y (* 9.0 z))
6.7b	(* (* y (* 9.0 z)) t)

rewrite114.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 84

Calls

4 calls:

27.0ms	(+ (- (* x 2.0) (* (* y (* 9.0 z)) t)) (* (* a 27.0) b))
13.0ms	(* (* a 27.0) b)
12.0ms	(* y (* 9.0 z))
60.0ms	(* (* y (* 9.0 z)) t)

series297.0ms

Counts

4 → 12

Calls

4 calls:

217.0ms	(+ (- (* x 2.0) (* (* y (* 9.0 z)) t)) (* (* a 27.0) b))
26.0ms	(* (* a 27.0) b)
21.0ms	(* y (* 9.0 z))
32.0ms	(* (* y (* 9.0 z)) t)

simplify1.4s

Counts

96 → 96

Iterations

Iter	Nodes
done	5000
2	1480
1	393
0	150

prune687.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (fma (* 27.0 a) b (* x 2.0)) (* (* z (* t y)) 9.0))
0.1b	(fma (* 27.0 a) b (* x 2.0))
0.2b	(* (* z (* t y)) 9.0)
4.9b	(* z (* t y))

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 74

Calls

4 calls:

4.0ms	(- (fma (* 27.0 a) b (* x 2.0)) (* (* z (* t y)) 9.0))
0.0ms	(fma (* 27.0 a) b (* x 2.0))
56.0ms	(* (* z (* t y)) 9.0)
21.0ms	(* z (* t y))

series341.0ms

Counts

4 → 12

Calls

4 calls:

212.0ms	(- (fma (* 27.0 a) b (* x 2.0)) (* (* z (* t y)) 9.0))
54.0ms	(fma (* 27.0 a) b (* x 2.0))
33.0ms	(* (* z (* t y)) 9.0)
40.0ms	(* z (* t y))

simplify1.3s

Counts

86 → 86

Iterations

Iter	Nodes
done	5000
2	1084
1	288
0	121

prune550.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

regimes1.2s

Accuracy

74% (0.9b remaining)

Error of 0.9b against oracle of 0.1b and baseline of 3.4b

bsearch1.0ms

simplify12.0ms

Iterations

Iter	Nodes
done	53
1	53
0	36

end0.0ms

sample2.0s

Algorithm

intervals

Results

1.5s

11064×

body

valid