Details

sample31.0ms

Algorithm

intervals

Results

13.0ms

322×

body

valid

simplify4.3s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	11	9
2	18	9
3	32	9
4	44	9
5	54	9
6	72	9
7	106	9
8	156	9
9	211	9
10	289	9
11	492	9
12	1390	9
done	5000	9

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.2b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(* y (- z x))
0.0b	(+ x (* y (- z x)))
10.5b	(/ (+ x (* y (- z x))) z)

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
15×	`*-un-lft-identity`
13×	`add-cube-cbrt`
9×	`times-frac`
7×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `associate-r` `add-log-exp`
4×	`distribute-rgt-in` `sub-neg` `associate-+r+` `distribute-lft-in`
3×	`associate-l` `associate-/r` `associate-/l`
2×	`flip3-+` `associate-*r/` `flip-+` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `flip3--` `frac-2neg` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `sum-log` `*-commutative` `flip--` `cbrt-unprod` `div-inv` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

3 → 70

Calls

3 calls:

34.0ms	(* y (- z x))
7.0ms	(+ x (* y (- z x)))
31.0ms	(/ (+ x (* y (- z x))) z)

series149.0ms

Counts

3 → 9

Calls

3 calls:

44.0ms	(* y (- z x))
45.0ms	(+ x (* y (- z x)))
60.0ms	(/ (+ x (* y (- z x))) z)

simplify2.1s

Counts

79 → 79

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	117	903
1	260	858
2	740	794
3	3075	794
done	5000	788

prune210.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 4.5b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x y) x)
0.0b	(- y (/ (- (* x y) x) z))
4.4b	(/ (- (* x y) x) z)

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 58

Calls

3 calls:

12.0ms	(- (* x y) x)
35.0ms	(- y (/ (- (* x y) x) z))
31.0ms	(/ (- (* x y) x) z)

series156.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(- (* x y) x)
44.0ms	(- y (/ (- (* x y) x) z))
65.0ms	(/ (- (* x y) x) z)

simplify1.5s

Counts

67 → 67

Iterations

Useful iterations: 3 (609.0ms)

Iter	Nodes	Cost
0	101	828
1	232	785
2	651	731
3	2208	727
done	5000	727

prune168.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 4.5b

localize20.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (- (* x y) x)) (cbrt (- (* x y) x)))
4.8b	(cbrt (- (* x y) x))
4.8b	(cbrt (- (* x y) x))
4.8b	(cbrt (- (* x y) x))

rewrite86.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3--` `pow1/3` `flip--`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 87

Calls

4 calls:

62.0ms	(* (cbrt (- (* x y) x)) (cbrt (- (* x y) x)))
7.0ms	(cbrt (- (* x y) x))
7.0ms	(cbrt (- (* x y) x))
7.0ms	(cbrt (- (* x y) x))

series352.0ms

Counts

4 → 12

Calls

4 calls:

99.0ms	(* (cbrt (- (* x y) x)) (cbrt (- (* x y) x)))
88.0ms	(cbrt (- (* x y) x))
78.0ms	(cbrt (- (* x y) x))
87.0ms	(cbrt (- (* x y) x))

simplify1.5s

Counts

99 → 99

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	147	1961
1	347	1824
2	855	1682
3	2348	1397
done	5000	1339

prune366.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 4.5b

localize21.0ms

Local error

Found 4 expressions with local error:

4.4b	(/ (- (* x y) x) z)
7.9b	(cbrt (/ (- (* x y) x) z))
7.9b	(cbrt (/ (- (* x y) x) z))
7.9b	(cbrt (/ (- (* x y) x) z))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

39×	`cbrt-prod`
36×	`times-frac`
33×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`add-exp-log` `add-cbrt-cube`
4×	`pow1` `div-inv` `add-log-exp`
3×	`cbrt-div` `pow1/3` `associate-/r` `associate-/l`
2×	`associate-/l/`
1×	`cbrt-undiv` `flip3--` `frac-2neg` `div-sub` `div-exp` `clear-num` `flip--`

Counts

4 → 96

Calls

4 calls:

35.0ms	(/ (- (* x y) x) z)
9.0ms	(cbrt (/ (- (* x y) x) z))
9.0ms	(cbrt (/ (- (* x y) x) z))
9.0ms	(cbrt (/ (- (* x y) x) z))

series530.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(/ (- (* x y) x) z)
142.0ms	(cbrt (/ (- (* x y) x) z))
160.0ms	(cbrt (/ (- (* x y) x) z))
166.0ms	(cbrt (/ (- (* x y) x) z))

simplify1.4s

Counts

108 → 108

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	139	1995
1	291	1927
2	762	1798
3	2331	1640
done	5000	1568

prune357.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 4.5b

regimes84.0ms

Accuracy

0% (0.0b remaining)

Error of 3.7b against oracle of 3.7b and baseline of 3.7b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	8	9
done	8	9

end0.0ms

sample903.0ms

Algorithm

intervals

Results

438.0ms

10007×

body

valid