Details

sample149.0ms

Algorithm

intervals

Results

72.0ms

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

prune96.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 7.3b

localize146.0ms

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)

rewrite552.0ms

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:

22.0ms	(* (* x 18.0) y)
30.0ms	(* (* j 27.0) k)
105.0ms	(* (* (* x 18.0) y) z)
388.0ms	(* (* (* (* x 18.0) y) z) t)

series184.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(* (* x 18.0) y)
26.0ms	(* (* j 27.0) k)
40.0ms	(* (* (* x 18.0) y) z)
80.0ms	(* (* (* (* x 18.0) y) z) t)

simplify3.3s

Counts

97 → 97

Iterations

Iter	Nodes
done	5001
2	1469
1	370
0	141

prune2.3s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.7b

localize95.0ms

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))

rewrite14.6s

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:

14.3s	(- (- (+ (- (* (* (* x 18.0) y) (* z t)) (* (* a 4.0) t)) (* b c)) (* (* x 4.0) i)) (* (* j 27.0) k))
30.0ms	(* (* x 18.0) y)
31.0ms	(* (* j 27.0) k)
140.0ms	(* (* (* x 18.0) y) (* z t))

series3.9s

Counts

4 → 12

Calls

4 calls:

3.8s	(- (- (+ (- (* (* (* x 18.0) y) (* z t)) (* (* a 4.0) t)) (* b c)) (* (* x 4.0) i)) (* (* j 27.0) k))
31.0ms	(* (* x 18.0) y)
31.0ms	(* (* j 27.0) k)
84.0ms	(* (* (* x 18.0) y) (* z t))

simplify4.3s

Counts

99 → 99

Iterations

Iter	Nodes
done	5002
2	1691
1	453
0	177

prune2.1s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize126.0ms

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))

rewrite10.3s

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:

10.2s	(- (- (+ (- (* (* x 18.0) (* y (* z t))) (* (* a 4.0) t)) (* b c)) (* (* x 4.0) i)) (* (* j 27.0) k))
23.0ms	(* (* j 27.0) k)
67.0ms	(* (* x 18.0) (* y (* z t)))
27.0ms	(* 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))
47.0ms	(* (* j 27.0) k)
100.0ms	(* (* x 18.0) (* y (* z t)))
34.0ms	(* y (* z t))

simplify3.0s

Counts

99 → 99

Iterations

Iter	Nodes
done	5026
2	1668
1	440
0	174

prune1.8s

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))

rewrite274.0ms

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:

58.0ms	(* 18.0 (* y (* z t)))
29.0ms	(* (* j 27.0) k)
152.0ms	(* x (* 18.0 (* y (* z t))))
23.0ms	(* y (* z t))

series216.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(* 18.0 (* y (* z t)))
35.0ms	(* (* j 27.0) k)
75.0ms	(* x (* 18.0 (* y (* z t))))
51.0ms	(* y (* z t))

simplify2.6s

Counts

97 → 97

Iterations

Iter	Nodes
done	5001
2	1326
1	342
0	134

prune1.3s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

regimes6.0s

Accuracy

86% (0.8b remaining)

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

bsearch5.0ms

simplify24.0ms

Iterations

Iter	Nodes
done	74
1	74
0	51

end0.0ms

sample3.8s

Algorithm

intervals

Results

2.6s

15885×

body

valid