Details

sample22.0ms

Algorithm

intervals

Results

9.0ms

256×

body

valid

simplify35.0ms

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:

54.0ms	(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
18.0ms	(- (* (* z 2.0) z) (* y t))
46.0ms	(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

series307.0ms

Counts

3 → 9

Calls

3 calls:

87.0ms	(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
41.0ms	(- (* (* z 2.0) z) (* y t))
178.0ms	(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

simplify44.0ms

Counts

60 → 60

Iterations

Useful iterations: 1 (9.0ms)

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

prune149.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 4.5b

localize11.0ms

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)

rewrite137.0ms

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:

41.0ms	(- x (/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z)))
18.0ms	(- (* (* z 2.0) z) (* y t))
31.0ms	(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
44.0ms	(/ (- (* (* z 2.0) z) (* y t)) z)

series372.0ms

Counts

4 → 12

Calls

4 calls:

93.0ms	(- x (/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z)))
40.0ms	(- (* (* z 2.0) z) (* y t))
182.0ms	(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
57.0ms	(/ (- (* (* z 2.0) z) (* y t)) z)

simplify63.0ms

Counts

114 → 114

Iterations

Useful iterations: 2 (53.0ms)

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

prune297.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 2.5b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (/ (* y 2.0) (* 1 (- (* 2.0 z) (/ (* t y) z)))))
4.4b	(/ (* y 2.0) (* 1 (- (* 2.0 z) (/ (* t y) z))))
5.4b	(/ (* t y) z)

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 60

Calls

3 calls:

24.0ms	(- x (/ (* y 2.0) (* 1 (- (* 2.0 z) (/ (* t y) z)))))
24.0ms	(/ (* y 2.0) (* 1 (- (* 2.0 z) (/ (* t y) z))))
9.0ms	(/ (* t y) z)

series274.0ms

Counts

3 → 9

Calls

3 calls:

78.0ms	(- x (/ (* y 2.0) (* 1 (- (* 2.0 z) (/ (* t y) z)))))
175.0ms	(/ (* y 2.0) (* 1 (- (* 2.0 z) (/ (* t y) z))))
21.0ms	(/ (* t y) z)

simplify50.0ms

Counts

69 → 69

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	376	515
1	1869	433
2	5001	433
done	5001	433

prune155.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.7b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (/ (* y 2.0) (* 1 (- (* 2.0 z) (/ t (/ z y))))))
4.4b	(/ (* y 2.0) (* 1 (- (* 2.0 z) (/ t (/ z y)))))
5.7b	(/ t (/ z y))

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 109

Calls

3 calls:

23.0ms	(- x (/ (* y 2.0) (* 1 (- (* 2.0 z) (/ t (/ z y))))))
32.0ms	(/ (* y 2.0) (* 1 (- (* 2.0 z) (/ t (/ z y)))))
8.0ms	(/ t (/ z y))

series270.0ms

Counts

3 → 9

Calls

3 calls:

78.0ms	(- x (/ (* y 2.0) (* 1 (- (* 2.0 z) (/ t (/ z y))))))
169.0ms	(/ (* y 2.0) (* 1 (- (* 2.0 z) (/ t (/ z y)))))
23.0ms	(/ t (/ z y))

simplify65.0ms

Counts

118 → 118

Iterations

Useful iterations: 1 (15.0ms)

Iter	Nodes	Cost
0	590	882
1	2703	795
2	5001	795
done	5001	795

prune307.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.7b

regimes140.0ms

Accuracy

0% (0.5b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	9
1	22	9
2	22	9
done	22	9

end0.0ms

sample566.0ms

Algorithm

intervals

Results

297.0ms

8000×

body

valid