Details

sample192.0ms

Algorithm

intervals

Results

78.0ms

503×

body

valid

simplify6.9s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
5	2272
4	1125
3	543
2	196
1	66
0	28

prune90.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 7.3b

localize169.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 18.0) y)
0.4b	(* (* j 27.0) k)
4.7b	(* (* (* x 18.0) y) z)
5.8b	(* (* (* (* x 18.0) y) z) t)

rewrite583.0ms

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` `insert-posit16` `add-log-exp`

Counts

4 → 85

Calls

4 calls:

45.0ms	(* (* x 18.0) y)
37.0ms	(* (* j 27.0) k)
114.0ms	(* (* (* x 18.0) y) z)
375.0ms	(* (* (* (* x 18.0) y) z) t)

series244.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(* (* x 18.0) y)
38.0ms	(* (* j 27.0) k)
72.0ms	(* (* (* x 18.0) y) z)
103.0ms	(* (* (* (* x 18.0) y) z) t)

simplify3.6s

Counts

97 → 97

Iterations

Iter	Nodes
done	5001
2	1469
1	370
0	141

prune2.4s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.7b

localize142.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (- (+ (- (* (* (* x 18.0) y) (* z t)) (* (* a 4.0) t)) (* b c)) (* (* x 4.0) i)) (* (* j 27.0) k))
0.2b	(* (* x 18.0) y)
0.4b	(* (* j 27.0) k)
11.1b	(* (* (* x 18.0) y) (* z t))

rewrite13.8s

Algorithm

rewrite-expression-head

Rules

35×	`pow1` `add-cbrt-cube` `add-exp-log`
21×	`pow-prod-down` `prod-exp` `cbrt-unprod`
18×	`add-log-exp`
8×	`diff-log`
7×	`associate-r`
6×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`associate--l+` `insert-posit16`
3×	`associate-l` `*-commutative`
2×	`sum-log` `sub-neg`
1×	`associate--l-` `flip3--` `flip--`

Counts

4 → 87

Calls

4 calls:

13.5s	(- (- (+ (- (* (* (* x 18.0) y) (* z t)) (* (* a 4.0) t)) (* b c)) (* (* x 4.0) i)) (* (* j 27.0) k))
35.0ms	(* (* x 18.0) y)
24.0ms	(* (* j 27.0) k)
160.0ms	(* (* (* x 18.0) y) (* z t))

series3.8s

Counts

4 → 12

Calls

4 calls:

3.6s	(- (- (+ (- (* (* (* x 18.0) y) (* z t)) (* (* a 4.0) t)) (* b c)) (* (* x 4.0) i)) (* (* j 27.0) k))
39.0ms	(* (* x 18.0) y)
31.0ms	(* (* j 27.0) k)
83.0ms	(* (* (* x 18.0) y) (* z t))

simplify3.7s

Counts

99 → 99

Iterations

Iter	Nodes
done	5002
2	1691
1	453
0	177

prune1.7s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize91.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (- (+ (- (* (* x 18.0) (* y (* z t))) (* (* a 4.0) t)) (* b c)) (* (* x 4.0) i)) (* (* j 27.0) k))
0.4b	(* (* j 27.0) k)
5.7b	(* (* x 18.0) (* y (* z t)))
6.3b	(* y (* z t))

rewrite9.2s

Algorithm

rewrite-expression-head

Rules

35×	`pow1` `add-cbrt-cube` `add-exp-log`
21×	`pow-prod-down` `prod-exp` `cbrt-unprod`
18×	`add-log-exp`
8×	`diff-log`
6×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
5×	`associate-r` `associate-l`
4×	`associate--l+` `insert-posit16`
3×	`*-commutative`
2×	`sum-log` `sub-neg`
1×	`associate--l-` `flip3--` `flip--`

Counts

4 → 87

Calls

4 calls:

9.1s	(- (- (+ (- (* (* x 18.0) (* y (* z t))) (* (* a 4.0) t)) (* b c)) (* (* x 4.0) i)) (* (* j 27.0) k))
22.0ms	(* (* j 27.0) k)
70.0ms	(* (* x 18.0) (* y (* z t)))
23.0ms	(* y (* z t))

series3.7s

Counts

4 → 12

Calls

4 calls:

3.6s	(- (- (+ (- (* (* x 18.0) (* y (* z t))) (* (* a 4.0) t)) (* b c)) (* (* x 4.0) i)) (* (* j 27.0) k))
27.0ms	(* (* j 27.0) k)
79.0ms	(* (* x 18.0) (* y (* z t)))
55.0ms	(* y (* z t))

simplify3.0s

Counts

99 → 99

Iterations

Iter	Nodes
done	5026
2	1668
1	440
0	174

prune2.0s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize107.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 18.0 (* y (* z t)))
0.4b	(* (* j 27.0) k)
5.6b	(* x (* 18.0 (* y (* z t))))
6.3b	(* y (* z t))

rewrite306.0ms

Algorithm

rewrite-expression-head

Rules

37×	`pow1` `add-cbrt-cube` `add-exp-log`
22×	`pow-prod-down` `prod-exp` `cbrt-unprod`
10×	`associate-l`
8×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
6×	`associate-r`
4×	`*-commutative` `insert-posit16` `add-log-exp`

Counts

4 → 85

Calls

4 calls:

84.0ms	(* 18.0 (* y (* z t)))
26.0ms	(* (* j 27.0) k)
152.0ms	(* x (* 18.0 (* y (* z t))))
37.0ms	(* y (* z t))

series178.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(* 18.0 (* y (* z t)))
27.0ms	(* (* j 27.0) k)
70.0ms	(* x (* 18.0 (* y (* z t))))
42.0ms	(* y (* z t))

simplify2.9s

Counts

97 → 97

Iterations

Iter	Nodes
done	5001
2	1326
1	342
0	134

prune1.8s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

regimes7.8s

Accuracy

86% (0.8b remaining)

Error of 0.9b against oracle of 0.1b and baseline of 5.7b

bsearch8.0ms

simplify37.0ms

Iterations

Iter	Nodes
done	74
1	74
0	51

end0.0ms

sample5.2s

Algorithm

intervals

Results

3.5s

15885×

body

valid