Details

sample34.0ms

Algorithm

intervals

Results

14.0ms

331×

body

valid

simplify4.0s

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: 11.4b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* y (- z x)))
0.0b	(* y (- z x))
10.6b	(/ (+ x (* y (- z x))) z)

rewrite85.0ms

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:

11.0ms	(+ x (* y (- z x)))
36.0ms	(* y (- z x))
35.0ms	(/ (+ x (* y (- z x))) z)

series154.0ms

Counts

3 → 9

Calls

3 calls:

37.0ms	(+ x (* y (- z x)))
48.0ms	(* y (- z x))
69.0ms	(/ (+ 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	3099	794
done	5000	788

prune206.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 2.8b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(- y (/ (- (* y x) x) z))
0.0b	(- (* y x) x)
2.7b	(/ (- (* y x) x) z)

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

19×	`*-un-lft-identity`
17×	`add-sqr-sqrt`
13×	`times-frac`
12×	`add-cube-cbrt`
7×	`add-log-exp`
5×	`add-exp-log` `distribute-rgt-out--` `add-cbrt-cube`
4×	`associate-/l*`
3×	`pow1` `flip3--` `associate-/r*` `flip--`
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 → 63

Calls

3 calls:

34.0ms	(- y (/ (- (* y x) x) z))
11.0ms	(- (* y x) x)
28.0ms	(/ (- (* y x) x) z)

series113.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(- y (/ (- (* y x) x) z))
27.0ms	(- (* y x) x)
51.0ms	(/ (- (* y x) x) z)

simplify1.5s

Counts

72 → 72

Iterations

Useful iterations: 3 (573.0ms)

Iter	Nodes	Cost
0	112	867
1	257	822
2	684	772
3	2302	764
done	5000	764

prune195.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(- y (/ 1 (/ z (- (* y x) x))))
0.0b	(- (* y x) x)
0.4b	(/ 1 (/ z (- (* y x) x)))
2.7b	(/ z (- (* y x) x))

rewrite141.0ms

Algorithm

rewrite-expression-head

Rules

120×	`times-frac`
86×	`*-un-lft-identity`
78×	`add-sqr-sqrt`
64×	`add-cube-cbrt`
22×	`associate-/r*`
17×	`add-exp-log` `distribute-rgt-out--`
11×	`associate-/r/` `add-cbrt-cube`
8×	`div-exp` `add-log-exp`
7×	`flip3--` `flip--` `div-inv`
6×	`associate-/l*`
5×	`pow1` `difference-of-squares`
4×	`cbrt-undiv`
2×	`sub-neg` `rec-exp` `frac-2neg` `diff-log` `1-exp` `clear-num` `distribute-lft-out--`
1×	`pow-flip` `inv-pow`

Counts

4 → 161

Calls

4 calls:

62.0ms	(- y (/ 1 (/ z (- (* y x) x))))
11.0ms	(- (* y x) x)
37.0ms	(/ 1 (/ z (- (* y x) x)))
21.0ms	(/ z (- (* y x) x))

series149.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(- y (/ 1 (/ z (- (* y x) x))))
30.0ms	(- (* y x) x)
46.0ms	(/ 1 (/ z (- (* y x) x)))
48.0ms	(/ z (- (* y x) x))

simplify2.2s

Counts

173 → 173

Iterations

Useful iterations: 3 (1.1s)

Iter	Nodes	Cost
0	259	2782
1	557	2467
2	1176	2202
3	3326	2124
done	5000	2124

prune379.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(- y (* (/ 1 z) (- (* x y) x)))
0.0b	(- (* x y) x)
2.8b	(* (/ 1 z) (- (* x y) x))

rewrite97.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 71

Calls

3 calls:

7.0ms	(- y (* (/ 1 z) (- (* x y) x)))
14.0ms	(- (* x y) x)
74.0ms	(* (/ 1 z) (- (* x y) x))

series134.0ms

Counts

3 → 9

Calls

3 calls:

27.0ms	(- y (* (/ 1 z) (- (* x y) x)))
33.0ms	(- (* x y) x)
73.0ms	(* (/ 1 z) (- (* x y) x))

simplify2.6s

Counts

80 → 80

Iterations

Useful iterations: 3 (1.1s)

Iter	Nodes	Cost
0	125	1040
1	310	890
2	931	776
3	3230	766
done	5002	766

prune192.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes95.0ms

Accuracy

83.3% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 3.5b

bsearch83.0ms

Steps

Iters	Range		Point
5	3.0442916451957594e-89	6.450835516297797e-89	5.88623340515747e-89
8	-3.72543416230573e+131	-4.111023355297869e+128	-4.177791845767281e+128

simplify3.0ms

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	19	37
1	25	29
done	25	29

end0.0ms

sample973.0ms

Algorithm

intervals

Results

489.0ms

10109×

body

valid