Details

sample71.0ms

Algorithm

intervals

Results

32.0ms

258×

body

valid

simplify4.1s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	33
1	41	33
2	88	33
3	254	33
4	623	33
5	1355	33
6	1672	33
7	1766	33
8	2056	33
9	2982	33
done	5001	33

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.8b

localize30.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
0.1b	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
0.1b	(* (+ (* x y) z) y)
28.1b	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite372.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
18×	`add-cube-cbrt` `*-un-lft-identity`
12×	`add-exp-log` `add-cbrt-cube`
10×	`pow1`
9×	`times-frac` `associate-r` `associate-l`
6×	`associate-*l/`
5×	`flip3-+` `flip-+`
4×	`add-log-exp`
3×	`pow-prod-down` `prod-exp` `associate-/r` `-commutative` `cbrt-unprod` `associate-/l*` `unswap-sqr`
2×	`associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv`

Counts

4 → 91

Calls

4 calls:

117.0ms	(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
73.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
35.0ms	(* (+ (* x y) z) y)
143.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series725.0ms

Counts

4 → 12

Calls

4 calls:

131.0ms	(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
71.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
44.0ms	(* (+ (* x y) z) y)
479.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify1.7s

Counts

103 → 103

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	195	2617
1	499	2555
2	1782	2327
done	5001	2307

prune622.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 27.8b

localize61.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
0.1b	(/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
0.1b	(* (+ (* x y) z) y)
28.2b	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))

rewrite518.0ms

Algorithm

rewrite-expression-head

Rules

35×	`add-sqr-sqrt`
25×	`*-un-lft-identity`
24×	`add-cube-cbrt`
21×	`add-exp-log` `associate-r`
20×	`times-frac`
15×	`add-cbrt-cube`
11×	`pow1`
9×	`associate-l`
6×	`flip3-+` `associate-*l/` `prod-exp` `flip-+`
5×	`unswap-sqr`
4×	`div-exp` `associate-/r/` `cbrt-unprod` `add-log-exp`
3×	`pow-prod-down` `associate-/r` `-commutative` `associate-/l*`
2×	`cbrt-undiv` `frac-times` `rec-exp` `1-exp` `div-inv`
1×	`pow-flip` `frac-2neg` `associate-*r/` `clear-num` `un-div-inv` `inv-pow`

Counts

4 → 115

Calls

4 calls:

83.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
90.0ms	(/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
30.0ms	(* (+ (* x y) z) y)
311.0ms	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))

series618.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
74.0ms	(/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
51.0ms	(* (+ (* x y) z) y)
432.0ms	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))

simplify1.2s

Counts

127 → 127

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	205	3359
1	542	3185
2	1912	2843
done	5001	2839

prune765.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 27.8b

localize79.0ms

Local error

Found 4 expressions with local error:

23.5b	(cbrt (* (+ (* x y) z) y))
23.5b	(cbrt (* (+ (* x y) z) y))
23.5b	(cbrt (* (+ (* x y) z) y))
28.1b	(/ (+ (* (+ (* (+ (* (* (cbrt (* (+ (* x y) z) y)) (cbrt (* (+ (* x y) z) y))) (cbrt (* (+ (* x y) z) y))) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite522.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 64

Calls

4 calls:

10.0ms	(cbrt (* (+ (* x y) z) y))
12.0ms	(cbrt (* (+ (* x y) z) y))
15.0ms	(cbrt (* (+ (* x y) z) y))
483.0ms	(/ (+ (* (+ (* (+ (* (* (cbrt (* (+ (* x y) z) y)) (cbrt (* (+ (* x y) z) y))) (cbrt (* (+ (* x y) z) y))) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series1.1s

Counts

4 → 12

Calls

4 calls:

191.0ms	(cbrt (* (+ (* x y) z) y))
175.0ms	(cbrt (* (+ (* x y) z) y))
154.0ms	(cbrt (* (+ (* x y) z) y))
600.0ms	(/ (+ (* (+ (* (+ (* (* (cbrt (* (+ (* x y) z) y)) (cbrt (* (+ (* x y) z) y))) (cbrt (* (+ (* x y) z) y))) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify2.5s

Counts

76 → 76

Iterations

Useful iterations: done (2.5s)

Iter	Nodes	Cost
0	164	3135
1	394	3112
2	1116	2181
3	3983	1993
done	5000	1957

prune784.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 27.8b

localize85.0ms

Local error

Found 4 expressions with local error:

23.5b	(cbrt (* (+ (* x y) z) y))
23.5b	(cbrt (* (+ (* x y) z) y))
23.5b	(cbrt (* (+ (* x y) z) y))
28.1b	(/ (+ (* (+ (* (+ (* (* (cbrt (* (+ (* x y) z) y)) (* (* (cbrt (cbrt (* (+ (* x y) z) y))) (cbrt (cbrt (* (+ (* x y) z) y)))) (cbrt (cbrt (* (+ (* x y) z) y))))) (cbrt (* (+ (* x y) z) y))) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite3.7s

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 64

Calls

4 calls:

12.0ms	(cbrt (* (+ (* x y) z) y))
10.0ms	(cbrt (* (+ (* x y) z) y))
10.0ms	(cbrt (* (+ (* x y) z) y))
3.7s	(/ (+ (* (+ (* (+ (* (* (cbrt (* (+ (* x y) z) y)) (* (* (cbrt (cbrt (* (+ (* x y) z) y))) (cbrt (cbrt (* (+ (* x y) z) y)))) (cbrt (cbrt (* (+ (* x y) z) y))))) (cbrt (* (+ (* x y) z) y))) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series1.3s

Counts

4 → 12

Calls

4 calls:

227.0ms	(cbrt (* (+ (* x y) z) y))
196.0ms	(cbrt (* (+ (* x y) z) y))
201.0ms	(cbrt (* (+ (* x y) z) y))
692.0ms	(/ (+ (* (+ (* (+ (* (* (cbrt (* (+ (* x y) z) y)) (* (* (cbrt (cbrt (* (+ (* x y) z) y))) (cbrt (cbrt (* (+ (* x y) z) y)))) (cbrt (cbrt (* (+ (* x y) z) y))))) (cbrt (* (+ (* x y) z) y))) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify2.6s

Counts

76 → 76

Iterations

Useful iterations: done (2.6s)

Iter	Nodes	Cost
0	167	4101
1	402	4078
2	1142	2979
3	4032	1993
done	5000	1957

prune821.0ms

Pruning

13 alts after pruning (10 fresh and 3 done)

Merged error: 27.8b

regimes1.2s

Accuracy

0% (1.1b remaining)

Error of 28.8b against oracle of 27.6b and baseline of 28.8b

bsearch0.0ms

simplify10.0ms

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	28	35
1	46	35
done	46	35

end0.0ms

sample2.8s

Algorithm

intervals

Results

2.0s

8248×

body

valid