Details

sample57.0ms

Algorithm

intervals

Results

24.0ms

343×

body

valid

simplify4.7s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
6	4208
5	906
4	414
3	214
2	80
1	34
0	17

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 2.9b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* a (* 27.0 b)) (- (* x 2.0) (* (* (* y 9.0) z) t)))
0.2b	(* (* y 9.0) z)
0.2b	(* a (* 27.0 b))
6.5b	(* (* (* y 9.0) z) t)

rewrite134.0ms

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`
7×	`add-sqr-sqrt` `-un-lft-identity` `associate-r*` `add-cube-cbrt`
5×	`associate-l`
3×	`*-commutative`
2×	`associate-+r+` `sum-log`
1×	`+-commutative` `associate-+r-` `sub-neg` `flip3-+` `diff-log` `flip-+`

Counts

4 → 72

Calls

4 calls:

42.0ms	(+ (* a (* 27.0 b)) (- (* x 2.0) (* (* (* y 9.0) z) t)))
13.0ms	(* (* y 9.0) z)
13.0ms	(* a (* 27.0 b))
61.0ms	(* (* (* y 9.0) z) t)

series330.0ms

Counts

4 → 12

Calls

4 calls:

233.0ms	(+ (* a (* 27.0 b)) (- (* x 2.0) (* (* (* y 9.0) z) t)))
32.0ms	(* (* y 9.0) z)
35.0ms	(* a (* 27.0 b))
30.0ms	(* (* (* y 9.0) z) t)

simplify1.3s

Counts

84 → 84

Iterations

Iter	Nodes
done	5000
2	2041
1	362
0	136

prune493.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x 2.0) (* (* y 9.0) (* z t)))
0.0b	(+ (* a (* 27.0 b)) (- (* x 2.0) (* (* y 9.0) (* z t))))
0.2b	(* a (* 27.0 b))
3.7b	(* (* y 9.0) (* z t))

rewrite99.0ms

Algorithm

rewrite-expression-head

Rules

21×	`pow1` `add-cbrt-cube` `add-exp-log`
11×	`pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
5×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`associate-l`
2×	`associate-+r+` `sum-log` `sub-neg` `diff-log` `associate-r` `*-commutative`
1×	`+-commutative` `associate-+r-` `flip3-+` `flip3--` `flip-+` `flip--`

Counts

4 → 67

Calls

4 calls:

13.0ms	(- (* x 2.0) (* (* y 9.0) (* z t)))
25.0ms	(+ (* a (* 27.0 b)) (- (* x 2.0) (* (* y 9.0) (* z t))))
13.0ms	(* a (* 27.0 b))
45.0ms	(* (* y 9.0) (* z t))

series417.0ms

Counts

4 → 12

Calls

4 calls:

111.0ms	(- (* x 2.0) (* (* y 9.0) (* z t)))
231.0ms	(+ (* a (* 27.0 b)) (- (* x 2.0) (* (* y 9.0) (* z t))))
24.0ms	(* a (* 27.0 b))
50.0ms	(* (* y 9.0) (* z t))

simplify948.0ms

Counts

79 → 79

Iterations

Iter	Nodes
done	5000
2	1510
1	369
0	134

prune466.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ (* x 2.0) (* b (* a 27.0))) (- (* (* y 9.0) (* z t))))
0.0b	(+ (* x 2.0) (* b (* a 27.0)))
0.7b	(* b (* a 27.0))
3.7b	(* (* y 9.0) (* z t))

rewrite116.0ms

Algorithm

rewrite-expression-head

Rules

21×	`pow1` `add-cbrt-cube` `add-exp-log`
16×	`add-log-exp`
11×	`pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`sum-log` `*-un-lft-identity`
5×	`add-sqr-sqrt` `add-cube-cbrt`
4×	`associate-l`
2×	`+-commutative` `flip3-+` `associate-r` `neg-log` `*-commutative` `flip-+`
1×	`neg-sub0` `associate-+l+` `associate-+r-` `unsub-neg` `distribute-lft-out`

Counts

4 → 70

Calls

4 calls:

37.0ms	(+ (+ (* x 2.0) (* b (* a 27.0))) (- (* (* y 9.0) (* z t))))
15.0ms	(+ (* x 2.0) (* b (* a 27.0)))
28.0ms	(* b (* a 27.0))
35.0ms	(* (* y 9.0) (* z t))

series354.0ms

Counts

4 → 12

Calls

4 calls:

203.0ms	(+ (+ (* x 2.0) (* b (* a 27.0))) (- (* (* y 9.0) (* z t))))
70.0ms	(+ (* x 2.0) (* b (* a 27.0)))
32.0ms	(* b (* a 27.0))
48.0ms	(* (* y 9.0) (* z t))

simplify1.3s

Counts

82 → 82

Iterations

Iter	Nodes
done	5002
2	2321
1	412
0	140

prune458.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* 27.0 (* b a)) (* (* 9.0 t) (* z y)))
0.0b	(+ (* x 2.0) (- (* 27.0 (* b a)) (* (* 9.0 t) (* z y))))
0.2b	(* 27.0 (* b a))
6.5b	(* (* 9.0 t) (* z y))

rewrite514.0ms

Algorithm

rewrite-expression-head

Rules

21×	`pow1` `add-cbrt-cube` `add-exp-log`
11×	`pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
5×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`associate-l`
2×	`associate-+r+` `sum-log` `sub-neg` `diff-log` `associate-r` `*-commutative`
1×	`+-commutative` `associate-+r-` `flip3-+` `flip3--` `flip-+` `flip--`

Counts

4 → 67

Calls

4 calls:

30.0ms	(- (* 27.0 (* b a)) (* (* 9.0 t) (* z y)))
438.0ms	(+ (* x 2.0) (- (* 27.0 (* b a)) (* (* 9.0 t) (* z y))))
21.0ms	(* 27.0 (* b a))
21.0ms	(* (* 9.0 t) (* z y))

series417.0ms

Counts

4 → 12

Calls

4 calls:

135.0ms	(- (* 27.0 (* b a)) (* (* 9.0 t) (* z y)))
216.0ms	(+ (* x 2.0) (- (* 27.0 (* b a)) (* (* 9.0 t) (* z y))))
20.0ms	(* 27.0 (* b a))
45.0ms	(* (* 9.0 t) (* z y))

simplify1.1s

Counts

79 → 79

Iterations

Iter	Nodes
done	5000
2	1671
1	364
0	132

prune525.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

regimes1.1s

Accuracy

81.8% (0.6b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 3.6b

bsearch2.0ms

simplify21.0ms

Iterations

Iter	Nodes
done	72
3	72
2	62
1	54
0	33

end0.0ms

sample2.2s

Algorithm

intervals

Results

1.2s

11058×

body

valid