Details

sample67.0ms

Algorithm

intervals

Results

33.0ms

359×

body

valid

simplify4.9s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	17
1	34	17
2	80	17
3	214	17
4	415	17
5	898	17
6	4135	17
done	5001	17

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.9b

localize18.0ms

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)
0.4b	(* (* a 27.0) b)
5.4b	(* (* (* y 9.0) z) t)

rewrite162.0ms

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:

50.0ms	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* (* a 27.0) b))
23.0ms	(* (* y 9.0) z)
17.0ms	(* (* a 27.0) b)
69.0ms	(* (* (* y 9.0) z) t)

series245.0ms

Counts

4 → 12

Calls

4 calls:

158.0ms	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* (* a 27.0) b))
21.0ms	(* (* y 9.0) z)
30.0ms	(* (* a 27.0) b)
36.0ms	(* (* (* y 9.0) z) t)

simplify1.9s

Counts

84 → 84

Iterations

Useful iterations: 2 (376.0ms)

Iter	Nodes	Cost
0	140	981
1	379	944
2	2482	814
done	5000	814

prune217.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x 2.0) (* (* (* y 9.0) z) t))
0.2b	(* a (* 27.0 b))
0.2b	(* (* y 9.0) z)
5.4b	(* (* (* y 9.0) z) t)

rewrite110.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 69

Calls

4 calls:

8.0ms	(- (* x 2.0) (* (* (* y 9.0) z) t))
20.0ms	(* a (* 27.0 b))
17.0ms	(* (* y 9.0) z)
63.0ms	(* (* (* y 9.0) z) t)

series152.0ms

Counts

4 → 12

Calls

4 calls:

77.0ms	(- (* x 2.0) (* (* (* y 9.0) z) t))
26.0ms	(* a (* 27.0 b))
19.0ms	(* (* y 9.0) z)
29.0ms	(* (* (* y 9.0) z) t)

simplify1.3s

Counts

81 → 81

Iterations

Useful iterations: 2 (289.0ms)

Iter	Nodes	Cost
0	131	813
1	346	774
2	1947	650
done	5001	650

prune272.0ms

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	(+ (* 2.0 x) (* 27.0 (* a b)))
0.2b	(* 27.0 (* a b))
0.3b	(* 9.0 (* t (* z y)))
5.4b	(* t (* z y))

rewrite110.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 68

Calls

4 calls:

15.0ms	(+ (* 2.0 x) (* 27.0 (* a b)))
16.0ms	(* 27.0 (* a b))
60.0ms	(* 9.0 (* t (* z y)))
16.0ms	(* t (* z y))

series156.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(+ (* 2.0 x) (* 27.0 (* a b)))
29.0ms	(* 27.0 (* a b))
38.0ms	(* 9.0 (* t (* z y)))
35.0ms	(* t (* z y))

simplify1.1s

Counts

80 → 80

Iterations

Useful iterations: 2 (163.0ms)

Iter	Nodes	Cost
0	117	747
1	315	718
2	1242	594
done	5000	594

prune227.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt a)
0.5b	(cbrt a)
0.5b	(cbrt a)
5.4b	(* (* (* y 9.0) z) t)

rewrite91.0ms

Algorithm

rewrite-expression-head

Rules

13×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`add-log-exp`
3×	`pow1/3` `associate-r`
1×	`associate-l` `*-commutative`

Counts

4 → 54

Calls

4 calls:

1.0ms	(cbrt a)
1.0ms	(cbrt a)
1.0ms	(cbrt a)
85.0ms	(* (* (* y 9.0) z) t)

series678.0ms

Counts

4 → 12

Calls

4 calls:

239.0ms	(cbrt a)
203.0ms	(cbrt a)
206.0ms	(cbrt a)
31.0ms	(* (* (* y 9.0) z) t)

simplify884.0ms

Counts

66 → 66

Iterations

Useful iterations: done (881.0ms)

Iter	Nodes	Cost
0	79	439
1	194	419
2	1048	355
done	5001	336

prune296.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes856.0ms

Accuracy

73.5% (0.9b remaining)

Error of 1.0b against oracle of 0.1b and baseline of 3.6b

bsearch1.0ms

simplify10.0ms

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	32	75
1	48	55
2	50	55
3	52	55
done	52	55

end0.0ms

sample2.1s

Algorithm

intervals

Results

1.3s

10845×

body

valid