Details

sample78.0ms

Algorithm

intervals

Results

26.0ms

360×

body

valid

simplify4.7s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.9b

localize27.0ms

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)
6.0b	(* (* (* y 9.0) z) t)

rewrite177.0ms

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:

43.0ms	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* (* a 27.0) b))
25.0ms	(* (* y 9.0) z)
27.0ms	(* (* a 27.0) b)
79.0ms	(* (* (* y 9.0) z) t)

series311.0ms

Counts

4 → 12

Calls

4 calls:

218.0ms	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* (* a 27.0) b))
27.0ms	(* (* y 9.0) z)
29.0ms	(* (* a 27.0) b)
37.0ms	(* (* (* y 9.0) z) t)

simplify2.1s

Counts

84 → 84

Iterations

Useful iterations: 2 (356.0ms)

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

prune265.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (* x 2.0) (* (pow (* 9.0 (* y z)) 1) t)) (* (* a 27.0) b))
0.2b	(* (* a 27.0) b)
0.2b	(* 9.0 (* y z))
6.0b	(* (pow (* 9.0 (* y z)) 1) t)

rewrite115.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-exp-log`
16×	`add-cbrt-cube`
15×	`pow1`
14×	`prod-exp`
11×	`add-sqr-sqrt`
9×	`associate-l` `add-log-exp`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`associate-r` `pow-prod-down` `cbrt-unprod`
3×	`pow-exp` `*-commutative`
2×	`associate-+l+` `sum-log` `unswap-sqr` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `associate-+l-` `sub-neg` `unpow-prod-down` `flip3-+` `diff-log` `flip-+`

Counts

4 → 76

Calls

4 calls:

32.0ms	(+ (- (* x 2.0) (* (pow (* 9.0 (* y z)) 1) t)) (* (* a 27.0) b))
18.0ms	(* (* a 27.0) b)
31.0ms	(* 9.0 (* y z))
30.0ms	(* (pow (* 9.0 (* y z)) 1) t)

series241.0ms

Counts

4 → 12

Calls

4 calls:

165.0ms	(+ (- (* x 2.0) (* (pow (* 9.0 (* y z)) 1) t)) (* (* a 27.0) b))
22.0ms	(* (* a 27.0) b)
20.0ms	(* 9.0 (* y z))
34.0ms	(* (pow (* 9.0 (* y z)) 1) t)

simplify1.6s

Counts

88 → 88

Iterations

Useful iterations: 2 (321.0ms)

Iter	Nodes	Cost
0	156	1112
1	397	959
2	2410	854
done	5000	854

prune336.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* 2.0 x) (* 27.0 (* a b)))
0.2b	(* 9.0 (* t (* z y)))
0.3b	(* 27.0 (* a b))
6.0b	(* t (* z y))

rewrite129.0ms

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:

13.0ms	(+ (* 2.0 x) (* 27.0 (* a b)))
61.0ms	(* 9.0 (* t (* z y)))
23.0ms	(* 27.0 (* a b))
29.0ms	(* t (* z y))

series171.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(+ (* 2.0 x) (* 27.0 (* a b)))
43.0ms	(* 9.0 (* t (* z y)))
28.0ms	(* 27.0 (* a b))
35.0ms	(* t (* z y))

simplify1.0s

Counts

80 → 80

Iterations

Useful iterations: 2 (176.0ms)

Iter	Nodes	Cost
0	117	747
1	315	718
2	1245	594
done	5000	594

prune223.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (* x 2.0) (* (pow (* 9.0 (* y z)) 1) t)) (* a (* 27.0 b)))
0.2b	(* 9.0 (* y z))
0.5b	(* a (* 27.0 b))
6.0b	(* (pow (* 9.0 (* y z)) 1) t)

rewrite118.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-exp-log`
16×	`add-cbrt-cube`
15×	`pow1`
14×	`prod-exp`
11×	`add-sqr-sqrt` `associate-l`
9×	`add-log-exp`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`pow-prod-down` `cbrt-unprod`
5×	`associate-r`
3×	`pow-exp` `*-commutative`
2×	`associate-+l+` `sum-log` `unswap-sqr` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `associate-+l-` `sub-neg` `unpow-prod-down` `flip3-+` `diff-log` `flip-+`

Counts

4 → 76

Calls

4 calls:

52.0ms	(+ (- (* x 2.0) (* (pow (* 9.0 (* y z)) 1) t)) (* a (* 27.0 b)))
17.0ms	(* 9.0 (* y z))
16.0ms	(* a (* 27.0 b))
29.0ms	(* (pow (* 9.0 (* y z)) 1) t)

series297.0ms

Counts

4 → 12

Calls

4 calls:

192.0ms	(+ (- (* x 2.0) (* (pow (* 9.0 (* y z)) 1) t)) (* a (* 27.0 b)))
30.0ms	(* 9.0 (* y z))
33.0ms	(* a (* 27.0 b))
43.0ms	(* (pow (* 9.0 (* y z)) 1) t)

simplify1.3s

Counts

88 → 88

Iterations

Useful iterations: 2 (219.0ms)

Iter	Nodes	Cost
0	154	1109
1	387	958
2	2042	853
done	5000	853

prune326.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes446.0ms

Accuracy

76.7% (0.8b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 3.4b

bsearch228.0ms

Steps

Iters	Range		Point
9	1.0553990283636674e-106	1.748252264772765e-101	1.7241323396363288e-101
10	-178402938116589.1	-533.1690161192413	-14647692784802.438

simplify10.0ms

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	37	61
1	52	59
2	55	59
3	57	59
done	57	59

end0.0ms

sample1.7s

Algorithm

intervals

Results

836.0ms

11023×

body

valid