Details

sample30.0ms

Algorithm

intervals

Results

14.0ms

344×

body

valid

simplify1.4s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	17
1	34	17
2	80	17
3	207	17
4	380	17
5	467	17
6	476	17
7	499	17
8	582	17
9	922	17
done	922	17

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.0b

localize15.0ms

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)
5.5b	(* (* (* y 9.0) z) t)

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 72

Calls

4 calls:

11.0ms	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* (* a 27.0) b))
6.0ms	(* (* a 27.0) b)
6.0ms	(* (* y 9.0) z)
20.0ms	(* (* (* y 9.0) z) t)

series203.0ms

Counts

4 → 12

Calls

4 calls:

140.0ms	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* (* a 27.0) b))
19.0ms	(* (* a 27.0) b)
19.0ms	(* (* y 9.0) z)
24.0ms	(* (* (* y 9.0) z) t)

simplify682.0ms

Counts

84 → 84

Iterations

Useful iterations: 2 (156.0ms)

Iter	Nodes	Cost
0	140	981
1	370	944
2	1589	802
done	5001	802

prune196.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (* x 2.0) (* (* y (* z 9.0)) t)) (* (* a 27.0) b))
0.2b	(* (* a 27.0) b)
0.2b	(* y (* z 9.0))
5.5b	(* (* y (* z 9.0)) t)

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 72

Calls

4 calls:

11.0ms	(+ (- (* x 2.0) (* (* y (* z 9.0)) t)) (* (* a 27.0) b))
6.0ms	(* (* a 27.0) b)
6.0ms	(* y (* z 9.0))
19.0ms	(* (* y (* z 9.0)) t)

series203.0ms

Counts

4 → 12

Calls

4 calls:

139.0ms	(+ (- (* x 2.0) (* (* y (* z 9.0)) t)) (* (* a 27.0) b))
22.0ms	(* (* a 27.0) b)
17.0ms	(* y (* z 9.0))
25.0ms	(* (* y (* z 9.0)) t)

simplify568.0ms

Counts

84 → 84

Iterations

Useful iterations: 2 (132.0ms)

Iter	Nodes	Cost
0	138	980
1	363	945
2	1504	803
done	5001	803

prune245.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (* x 2.0) (* y (* (* z 9.0) t))) (* (* a 27.0) b))
0.2b	(* (* z 9.0) t)
0.2b	(* (* a 27.0) b)
6.2b	(* y (* (* z 9.0) t))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 72

Calls

4 calls:

11.0ms	(+ (- (* x 2.0) (* y (* (* z 9.0) t))) (* (* a 27.0) b))
6.0ms	(* (* z 9.0) t)
6.0ms	(* (* a 27.0) b)
17.0ms	(* y (* (* z 9.0) t))

series203.0ms

Counts

4 → 12

Calls

4 calls:

141.0ms	(+ (- (* x 2.0) (* y (* (* z 9.0) t))) (* (* a 27.0) b))
16.0ms	(* (* z 9.0) t)
19.0ms	(* (* a 27.0) b)
26.0ms	(* y (* (* z 9.0) t))

simplify580.0ms

Counts

84 → 84

Iterations

Useful iterations: 2 (131.0ms)

Iter	Nodes	Cost
0	139	980
1	368	945
2	1472	803
done	5000	803

prune184.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x 2.0) (- (* (* a 27.0) b) (* 9.0 (* t (* z y)))))
0.2b	(* 9.0 (* t (* z y)))
0.2b	(* (* a 27.0) b)
5.5b	(* t (* z y))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 72

Calls

4 calls:

16.0ms	(+ (* x 2.0) (- (* (* a 27.0) b) (* 9.0 (* t (* z y)))))
14.0ms	(* 9.0 (* t (* z y)))
9.0ms	(* (* a 27.0) b)
6.0ms	(* t (* z y))

series217.0ms

Counts

4 → 12

Calls

4 calls:

140.0ms	(+ (* x 2.0) (- (* (* a 27.0) b) (* 9.0 (* t (* z y)))))
31.0ms	(* 9.0 (* t (* z y)))
20.0ms	(* (* a 27.0) b)
25.0ms	(* t (* z y))

simplify567.0ms

Counts

84 → 84

Iterations

Useful iterations: 2 (112.0ms)

Iter	Nodes	Cost
0	131	957
1	345	926
2	1299	776
done	5001	776

prune185.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

regimes440.0ms

Accuracy

74.2% (0.9b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 3.6b

bsearch122.0ms

Steps

Iters	Range		Point
9	1.215590018775021e-86	1.812392380368443e-80	1.6648920929508446e-80
6	-3.368657565953974e-114	-4.4052547814196615e-115	-3.293734515984362e-114

simplify3.0ms

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	30	59
1	46	43
done	46	43

end0.0ms

sample844.0ms

Algorithm

intervals

Results

464.0ms

10972×

body

valid