Details

sample189.0ms

Algorithm

intervals

Results

93.0ms

551×

body

valid

simplify2.1s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
4	1710
3	614
2	201
1	66
0	28

prune32.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 4.8b

localize65.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 18.0) y)
0.2b	(* (* j 27.0) k)
5.6b	(* (* (* x 18.0) y) z)
6.4b	(* (* (* (* x 18.0) y) z) t)

rewrite299.0ms

Algorithm

rewrite-expression-head

Rules

37×	`pow1` `add-cbrt-cube` `add-exp-log`
22×	`pow-prod-down` `prod-exp` `cbrt-unprod`
12×	`associate-r`
8×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`associate-l` `*-commutative` `add-log-exp`

Counts

4 → 81

Calls

4 calls:

27.0ms	(* (* x 18.0) y)
28.0ms	(* (* j 27.0) k)
53.0ms	(* (* (* x 18.0) y) z)
185.0ms	(* (* (* (* x 18.0) y) z) t)

series198.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(* (* x 18.0) y)
27.0ms	(* (* j 27.0) k)
48.0ms	(* (* (* x 18.0) y) z)
94.0ms	(* (* (* (* x 18.0) y) z) t)

simplify2.7s

Counts

93 → 93

Iterations

Iter	Nodes
done	5000
2	3116
1	370
0	137

prune1.0s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 1.0b

localize79.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (* (* (* x 18.0) y) (* z t)) (* (* a 4.0) t)) (* b c))
0.2b	(* (* x 18.0) y)
0.2b	(* (* j 27.0) k)
9.0b	(* (* (* x 18.0) y) (* z t))

rewrite511.0ms

Algorithm

rewrite-expression-head

Rules

35×	`pow1` `add-cbrt-cube` `add-exp-log`
21×	`pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`add-log-exp`
7×	`associate-r`
6×	`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 → 79

Calls

4 calls:

382.0ms	(+ (- (* (* (* x 18.0) y) (* z t)) (* (* a 4.0) t)) (* b c))
16.0ms	(* (* x 18.0) y)
28.0ms	(* (* j 27.0) k)
80.0ms	(* (* (* x 18.0) y) (* z t))

series500.0ms

Counts

4 → 12

Calls

4 calls:

330.0ms	(+ (- (* (* (* x 18.0) y) (* z t)) (* (* a 4.0) t)) (* b c))
27.0ms	(* (* x 18.0) y)
45.0ms	(* (* j 27.0) k)
96.0ms	(* (* (* x 18.0) y) (* z t))

simplify1.8s

Counts

91 → 91

Iterations

Iter	Nodes
done	5001
2	2589
1	452
0	160

prune997.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize86.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (* (* x 18.0) (* y (* z t))) (* (* a 4.0) t)) (* b c))
0.2b	(* (* j 27.0) k)
4.7b	(* y (* z t))
6.1b	(* (* x 18.0) (* y (* z t)))

rewrite396.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 79

Calls

4 calls:

294.0ms	(+ (- (* (* x 18.0) (* y (* z t))) (* (* a 4.0) t)) (* b c))
14.0ms	(* (* j 27.0) k)
21.0ms	(* y (* z t))
64.0ms	(* (* x 18.0) (* y (* z t)))

series516.0ms

Counts

4 → 12

Calls

4 calls:

365.0ms	(+ (- (* (* x 18.0) (* y (* z t))) (* (* a 4.0) t)) (* b c))
25.0ms	(* (* j 27.0) k)
45.0ms	(* y (* z t))
81.0ms	(* (* x 18.0) (* y (* z t)))

simplify1.7s

Counts

91 → 91

Iterations

Iter	Nodes
done	5001
2	2237
1	437
0	157

prune820.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize84.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (* (* x 18.0) (* y (* z t))) (* (* a 4.0) t)) (* b c))
0.3b	(* j (* 27.0 k))
4.7b	(* y (* z t))
6.1b	(* (* x 18.0) (* y (* z t)))

rewrite396.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 79

Calls

4 calls:

288.0ms	(+ (- (* (* x 18.0) (* y (* z t))) (* (* a 4.0) t)) (* b c))
16.0ms	(* j (* 27.0 k))
18.0ms	(* y (* z t))
70.0ms	(* (* x 18.0) (* y (* z t)))

series450.0ms

Counts

4 → 12

Calls

4 calls:

302.0ms	(+ (- (* (* x 18.0) (* y (* z t))) (* (* a 4.0) t)) (* b c))
33.0ms	(* j (* 27.0 k))
45.0ms	(* y (* z t))
69.0ms	(* (* x 18.0) (* y (* z t)))

simplify1.8s

Counts

91 → 91

Iterations

Iter	Nodes
done	5000
2	1834
1	424
0	154

prune859.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

regimes2.8s

Accuracy

64% (1.8b remaining)

Error of 2.2b against oracle of 0.4b and baseline of 5.4b

bsearch434.0ms

Steps

Iters	Range		Point
8	5.304115699900275e-87	2.9284448074854996e-82	7.289027731463515e-83
8	-3.4542967643614547e-77	-5.260283226669765e-81	-3.776984382821297e-79

simplify26.0ms

Iterations

Iter	Nodes
done	81
3	81
2	79
1	74
0	54

end0.0ms

sample5.7s

Algorithm

intervals

Results

3.7s

16095×

body

valid