Details

sample22.0ms

Algorithm

intervals

Results

9.0ms

256×

body

valid

simplify33.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	8
1	61	8
2	141	8
3	347	8
4	792	8
5	5002	8
done	5002	8

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.8b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
0.7b	(- (* (* z 2.0) z) (* y t))
19.3b	(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

rewrite120.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-exp-log` `add-cbrt-cube`
7×	`add-sqr-sqrt` `*-un-lft-identity` `add-log-exp`
5×	`add-cube-cbrt`
3×	`pow1` `cbrt-undiv` `flip3--` `times-frac` `div-exp` `prod-exp` `associate-/r*` `flip--` `cbrt-unprod`
2×	`sub-neg` `diff-log` `associate-/r/`
1×	`frac-2neg` `clear-num` `div-inv` `associate-/l*` `distribute-lft-out--` `difference-of-squares`

Counts

3 → 51

Calls

3 calls:

55.0ms	(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
17.0ms	(- (* (* z 2.0) z) (* y t))
46.0ms	(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

series318.0ms

Counts

3 → 9

Calls

3 calls:

91.0ms	(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
43.0ms	(- (* (* z 2.0) z) (* y t))
183.0ms	(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

simplify43.0ms

Counts

60 → 60

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	318	564
1	1519	493
2	5002	493
done	5002	493

prune146.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 4.5b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z)))
0.7b	(- (* (* z 2.0) z) (* y t))
4.4b	(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
17.7b	(/ (- (* (* z 2.0) z) (* y t)) z)

rewrite139.0ms

Algorithm

rewrite-expression-head

Rules

40×	`times-frac`
28×	`add-sqr-sqrt` `*-un-lft-identity`
26×	`add-cube-cbrt`
18×	`add-exp-log` `add-cbrt-cube`
16×	`associate-/r*`
8×	`add-log-exp`
7×	`cbrt-undiv` `div-exp`
4×	`pow1` `div-inv` `associate-/l*`
3×	`flip3--` `flip--`
2×	`sub-neg` `frac-2neg` `diff-log` `prod-exp` `clear-num` `cbrt-unprod` `associate-/l/`
1×	`div-sub` `associate-/r/` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 102

Calls

4 calls:

42.0ms	(- x (/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z)))
18.0ms	(- (* (* z 2.0) z) (* y t))
34.0ms	(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
42.0ms	(/ (- (* (* z 2.0) z) (* y t)) z)

series374.0ms

Counts

4 → 12

Calls

4 calls:

92.0ms	(- x (/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z)))
39.0ms	(- (* (* z 2.0) z) (* y t))
186.0ms	(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
57.0ms	(/ (- (* (* z 2.0) z) (* y t)) z)

simplify64.0ms

Counts

114 → 114

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	472	1105
1	2263	993
2	5002	988
done	5002	988

prune292.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 2.5b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (/ (* y 2.0) (- (* 2.0 z) (/ (* t y) z))))
4.4b	(/ (* y 2.0) (- (* 2.0 z) (/ (* t y) z)))
5.4b	(/ (* t y) z)

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-exp-log` `add-cbrt-cube`
9×	`add-sqr-sqrt` `*-un-lft-identity`
7×	`add-cube-cbrt`
6×	`times-frac` `associate-/r*`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`pow1`
2×	`flip3--` `frac-2neg` `prod-exp` `clear-num` `associate-/r/` `flip--` `cbrt-unprod` `div-inv` `associate-/l*`
1×	`sub-neg` `diff-log` `distribute-lft-out--` `difference-of-squares`

Counts

3 → 58

Calls

3 calls:

30.0ms	(- x (/ (* y 2.0) (- (* 2.0 z) (/ (* t y) z))))
20.0ms	(/ (* y 2.0) (- (* 2.0 z) (/ (* t y) z)))
10.0ms	(/ (* t y) z)

series267.0ms

Counts

3 → 9

Calls

3 calls:

76.0ms	(- x (/ (* y 2.0) (- (* 2.0 z) (/ (* t y) z))))
170.0ms	(/ (* y 2.0) (- (* 2.0 z) (/ (* t y) z)))
20.0ms	(/ (* t y) z)

simplify39.0ms

Counts

67 → 67

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	312	463
1	1403	412
2	5001	412
done	5001	412

prune152.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.7b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (/ (* y 2.0) (- (* 2.0 z) (/ t (/ z y)))))
4.4b	(/ (* y 2.0) (- (* 2.0 z) (/ t (/ z y))))
5.7b	(/ t (/ z y))

rewrite103.0ms

Algorithm

rewrite-expression-head

Rules

78×	`times-frac`
49×	`add-sqr-sqrt` `*-un-lft-identity`
47×	`add-cube-cbrt`
16×	`associate-/r*`
13×	`add-exp-log` `add-cbrt-cube`
6×	`div-inv`
5×	`cbrt-undiv` `div-exp` `add-log-exp`
4×	`associate-/l*`
3×	`pow1` `associate-/r/`
2×	`flip3--` `frac-2neg` `clear-num` `flip--`
1×	`sub-neg` `diff-log` `prod-exp` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares`

Counts

3 → 107

Calls

3 calls:

52.0ms	(- x (/ (* y 2.0) (- (* 2.0 z) (/ t (/ z y)))))
38.0ms	(/ (* y 2.0) (- (* 2.0 z) (/ t (/ z y))))
9.0ms	(/ t (/ z y))

series269.0ms

Counts

3 → 9

Calls

3 calls:

76.0ms	(- x (/ (* y 2.0) (- (* 2.0 z) (/ t (/ z y)))))
171.0ms	(/ (* y 2.0) (- (* 2.0 z) (/ t (/ z y))))
23.0ms	(/ t (/ z y))

simplify54.0ms

Counts

116 → 116

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	528	830
1	2279	774
2	5001	773
done	5001	773

prune286.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.7b

regimes357.0ms

Accuracy

0% (0.5b remaining)

Error of 1.0b against oracle of 0.5b and baseline of 1.0b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	8
1	18	8
done	18	8

end0.0ms

sample589.0ms

Algorithm

intervals

Results

301.0ms

8000×

body

valid