Details

sample40.0ms

Algorithm

intervals

Results

17.0ms

320×

body

valid

simplify4.1s

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.9b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(* y (- z x))
0.0b	(+ x (* y (- z x)))
8.3b	(/ (+ x (* y (- z x))) z)

rewrite55.0ms

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:

21.0ms	(* y (- z x))
7.0ms	(+ x (* y (- z x)))
25.0ms	(/ (+ x (* y (- z x))) z)

series142.0ms

Counts

3 → 9

Calls

3 calls:

56.0ms	(* y (- z x))
33.0ms	(+ x (* y (- z x)))
53.0ms	(/ (+ x (* y (- z x))) z)

simplify1.9s

Counts

79 → 79

Iterations

Useful iterations: done (1.9s)

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

prune190.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 3.5b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x y) x)
0.0b	(- y (/ (- (* x y) x) z))
3.4b	(/ (- (* x y) x) z)

rewrite49.0ms

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:

8.0ms	(- (* x y) x)
20.0ms	(- y (/ (- (* x y) x) z))
20.0ms	(/ (- (* x y) x) z)

series120.0ms

Counts

3 → 9

Calls

3 calls:

37.0ms	(- (* x y) x)
30.0ms	(- y (/ (- (* x y) x) z))
53.0ms	(/ (- (* x y) x) z)

simplify1.4s

Counts

67 → 67

Iterations

Useful iterations: 3 (540.0ms)

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

prune136.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 3.5b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x y) x)
0.0b	(- y (* (- (* x y) x) (/ 1 z)))
3.6b	(* (- (* x y) x) (/ 1 z))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
13×	`associate-r`
12×	`add-exp-log` `*-un-lft-identity`
11×	`add-cube-cbrt` `times-frac`
8×	`add-cbrt-cube`
7×	`add-log-exp`
5×	`pow1`
4×	`flip3--` `prod-exp` `flip--`
3×	`associate-l` `unswap-sqr`
2×	`frac-times` `sub-neg` `diff-log` `div-exp` `associate-*l/` `cbrt-unprod`
1×	`cbrt-undiv` `rec-exp` `1-exp` `associate-r/` `pow-prod-down` `un-div-inv` `-commutative` `div-inv`

Counts

3 → 64

Calls

3 calls:

8.0ms	(- (* x y) x)
5.0ms	(- y (* (- (* x y) x) (/ 1 z)))
40.0ms	(* (- (* x y) x) (/ 1 z))

series115.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(- (* x y) x)
33.0ms	(- y (* (- (* x y) x) (/ 1 z)))
48.0ms	(* (- (* x y) x) (/ 1 z))

simplify3.1s

Counts

73 → 73

Iterations

Useful iterations: 3 (1.2s)

Iter	Nodes	Cost
0	123	968
1	293	805
2	874	713
3	3444	703
done	5000	703

prune152.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 3.5b

localize12.0ms

Local error

Found 4 expressions with local error:

3.4b	(/ (- (* x y) x) z)
4.3b	(cbrt (/ (- (* x y) x) z))
4.3b	(cbrt (/ (- (* x y) x) z))
4.3b	(cbrt (/ (- (* x y) x) z))

rewrite58.0ms

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:

28.0ms	(/ (- (* x y) x) z)
13.0ms	(cbrt (/ (- (* x y) x) z))
6.0ms	(cbrt (/ (- (* x y) x) z))
6.0ms	(cbrt (/ (- (* x y) x) z))

series537.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(/ (- (* x y) x) z)
142.0ms	(cbrt (/ (- (* x y) x) z))
163.0ms	(cbrt (/ (- (* x y) x) z))
169.0ms	(cbrt (/ (- (* x y) x) z))

simplify1.5s

Counts

108 → 108

Iterations

Useful iterations: done (1.5s)

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

prune423.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 3.5b

regimes85.0ms

Accuracy

0% (0.1b remaining)

Error of 3.4b against oracle of 3.2b and baseline of 3.4b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	11
1	13	11
done	13	11

end0.0ms

sample909.0ms

Algorithm

intervals

Results

463.0ms

10146×

body

valid