Details

sample63.0ms

Algorithm

intervals

Results

23.0ms

339×

body

valid

simplify3.7s

Counts

1 → 1

Iterations

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

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.5b

localize39.0ms

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)
7.2b	(* (* (* y 9.0) z) t)

rewrite123.0ms

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

Counts

4 → 72

Calls

4 calls:

31.0ms	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* (* a 27.0) b))
14.0ms	(* (* y 9.0) z)
17.0ms	(* (* a 27.0) b)
58.0ms	(* (* (* y 9.0) z) t)

series324.0ms

Counts

4 → 12

Calls

4 calls:

226.0ms	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* (* a 27.0) b))
26.0ms	(* (* y 9.0) z)
30.0ms	(* (* a 27.0) b)
41.0ms	(* (* (* y 9.0) z) t)

simplify1.6s

Counts

84 → 84

Iterations

Iter	Nodes
done	5000
2	2477
1	379
0	140

prune539.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* (* a b) 27.0) (* y (* (* z 9.0) t)))
0.2b	(* (* z 9.0) t)
0.3b	(* (* a b) 27.0)
6.8b	(* y (* (* z 9.0) t))

rewrite117.0ms

Algorithm

rewrite-expression-head

Rules

23×	`pow1` `add-cbrt-cube` `add-exp-log`
12×	`pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`add-sqr-sqrt` `-un-lft-identity` `associate-r*` `add-cube-cbrt`
6×	`add-log-exp`
5×	`associate-l`
3×	`*-commutative`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

4 → 69

Calls

4 calls:

22.0ms	(- (* (* a b) 27.0) (* y (* (* z 9.0) t)))
19.0ms	(* (* z 9.0) t)
25.0ms	(* (* a b) 27.0)
49.0ms	(* y (* (* z 9.0) t))

series181.0ms

Counts

4 → 12

Calls

4 calls:

99.0ms	(- (* (* a b) 27.0) (* y (* (* z 9.0) t)))
24.0ms	(* (* z 9.0) t)
25.0ms	(* (* a b) 27.0)
33.0ms	(* y (* (* z 9.0) t))

simplify1.4s

Counts

81 → 81

Iterations

Iter	Nodes
done	5000
2	1911
1	334
0	125

prune600.0ms

Pruning

8 alts after pruning (8 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)))
0.0b	(+ (- (* x 2.0) (* (* y 9.0) (* z t))) (* (* a 27.0) b))
0.2b	(* (* a 27.0) b)
6.9b	(* (* y 9.0) (* z t))

rewrite76.0ms

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-r`
2×	`associate-+l+` `sum-log` `sub-neg` `diff-log` `associate-l` `*-commutative`
1×	`+-commutative` `flip3-+` `flip3--` `associate-+l-` `flip-+` `flip--`

Counts

4 → 67

Calls

4 calls:

7.0ms	(- (* x 2.0) (* (* y 9.0) (* z t)))
26.0ms	(+ (- (* x 2.0) (* (* y 9.0) (* z t))) (* (* a 27.0) b))
15.0ms	(* (* a 27.0) b)
27.0ms	(* (* y 9.0) (* z t))

series359.0ms

Counts

4 → 12

Calls

4 calls:

90.0ms	(- (* x 2.0) (* (* y 9.0) (* z t)))
201.0ms	(+ (- (* x 2.0) (* (* y 9.0) (* z t))) (* (* a 27.0) b))
31.0ms	(* (* a 27.0) b)
37.0ms	(* (* y 9.0) (* z t))

simplify1.5s

Counts

79 → 79

Iterations

Iter	Nodes
done	5002
2	2004
1	385
0	138

prune497.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* z 9.0) t)
0.2b	(* (* a b) (sqrt 27.0))
0.3b	(* (* (* a b) (sqrt 27.0)) (sqrt 27.0))
6.8b	(* y (* (* z 9.0) t))

rewrite126.0ms

Algorithm

rewrite-expression-head

Rules

32×	`pow1` `add-cbrt-cube` `add-exp-log`
18×	`pow-prod-down` `prod-exp` `cbrt-unprod`
16×	`associate-r`
10×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
6×	`associate-l` `sqrt-prod`
4×	`*-commutative` `add-log-exp`

Counts

4 → 84

Calls

4 calls:

14.0ms	(* (* z 9.0) t)
16.0ms	(* (* a b) (sqrt 27.0))
53.0ms	(* (* (* a b) (sqrt 27.0)) (sqrt 27.0))
40.0ms	(* y (* (* z 9.0) t))

series179.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* (* z 9.0) t)
53.0ms	(* (* a b) (sqrt 27.0))
77.0ms	(* (* (* a b) (sqrt 27.0)) (sqrt 27.0))
29.0ms	(* y (* (* z 9.0) t))

simplify1.4s

Counts

96 → 96

Iterations

Iter	Nodes
done	5001
2	2337
1	368
0	135

prune576.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

regimes1.7s

Accuracy

80.1% (0.8b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 4.1b

bsearch1.0ms

simplify8.0ms

Iterations

Iter	Nodes
done	57
1	57
0	38

end0.0ms

sample2.0s

Algorithm

intervals

Results

1.0s

11115×

body

valid