Details

sample65.0ms

Algorithm

intervals

Results

45.0ms

264×

body

valid

simplify1.7s

Counts

1 → 1

Iterations

Iter	Nodes
6	3197
5	1788
4	733
3	264
2	88
1	41
0	26

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.8b

localize73.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
0.1b	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
0.1b	(* (+ (* (+ y a) y) b) y)
29.8b	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite353.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
18×	`*-un-lft-identity` `add-cube-cbrt`
12×	`add-cbrt-cube` `add-exp-log`
10×	`pow1`
9×	`times-frac` `associate-r` `associate-l`
6×	`associate-*l/`
5×	`flip3-+` `flip-+`
4×	`insert-posit16` `add-log-exp`
3×	`associate-/r` `pow-prod-down` `prod-exp` `-commutative` `cbrt-unprod` `associate-/l*` `unswap-sqr`
2×	`associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `div-inv`

Counts

4 → 95

Calls

4 calls:

59.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
79.0ms	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
60.0ms	(* (+ (* (+ y a) y) b) y)
154.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series658.0ms

Counts

4 → 12

Calls

4 calls:

97.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
101.0ms	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
56.0ms	(* (+ (* (+ y a) y) b) y)
404.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify8.0s

Counts

107 → 107

Iterations

Iter	Nodes
3	8304
2	1919
1	528
0	199

prune2.0s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 29.0b

localize71.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
0.1b	(* (+ (* (+ y a) y) b) y)
0.3b	(/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
29.8b	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))

rewrite495.0ms

Algorithm

rewrite-expression-head

Rules

35×	`add-sqr-sqrt`
25×	`*-un-lft-identity`
24×	`add-cube-cbrt`
21×	`associate-r` `add-exp-log`
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` `insert-posit16` `add-log-exp`
3×	`associate-/r` `pow-prod-down` `-commutative` `associate-/l*`
2×	`frac-times` `cbrt-undiv` `rec-exp` `1-exp` `div-inv`
1×	`clear-num` `frac-2neg` `associate-*r/` `un-div-inv` `pow-flip` `inv-pow`

Counts

4 → 119

Calls

4 calls:

74.0ms	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
38.0ms	(* (+ (* (+ y a) y) b) y)
81.0ms	(/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
299.0ms	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))

series679.0ms

Counts

4 → 12

Calls

4 calls:

111.0ms	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
53.0ms	(* (+ (* (+ y a) y) b) y)
86.0ms	(/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
429.0ms	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))

simplify1.4s

Counts

131 → 131

Iterations

Iter	Nodes
2	2176
1	576
0	211

prune2.4s

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 29.0b

localize115.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt y)
0.5b	(cbrt y)
0.5b	(cbrt y)
29.8b	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (* (+ (* (+ (* (+ y a) y) b) y) c) (* (cbrt y) (cbrt y))) (cbrt y)) i))

rewrite375.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`cbrt-prod` `times-frac`
6×	`add-cbrt-cube` `add-exp-log`
4×	`pow1` `insert-posit16` `add-log-exp`
3×	`associate-/r` `pow1/3` `associate-/l`
2×	`flip3-+` `associate-/r/` `flip-+` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `div-inv`

Counts

4 → 68

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)
370.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (* (+ (* (+ (* (+ y a) y) b) y) c) (* (cbrt y) (cbrt y))) (cbrt y)) i))

series1.6s

Counts

4 → 12

Calls

4 calls:

356.0ms	(cbrt y)
338.0ms	(cbrt y)
283.0ms	(cbrt y)
669.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (* (+ (* (+ (* (+ y a) y) b) y) c) (* (cbrt y) (cbrt y))) (cbrt y)) i))

simplify1.7s

Counts

80 → 80

Iterations

Iter	Nodes
3	3975
2	878
1	269
0	115

prune1.5s

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 29.0b

localize114.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt y)
0.5b	(cbrt (cbrt y))
0.6b	(cbrt (* (cbrt y) (cbrt y)))
29.8b	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (* (+ (* (+ (* (+ y a) y) b) y) c) (* (cbrt y) (* (cbrt (* (cbrt y) (cbrt y))) (cbrt (cbrt y))))) (cbrt y)) i))

rewrite884.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
13×	`cbrt-prod`
9×	`times-frac`
6×	`add-cbrt-cube` `add-exp-log`
4×	`pow1` `insert-posit16` `add-log-exp`
3×	`associate-/r` `pow1/3` `associate-/l`
2×	`flip3-+` `associate-/r/` `flip-+` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `div-inv`

Counts

4 → 69

Calls

4 calls:

1.0ms	(cbrt y)
2.0ms	(cbrt (cbrt y))
9.0ms	(cbrt (* (cbrt y) (cbrt y)))
870.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (* (+ (* (+ (* (+ y a) y) b) y) c) (* (cbrt y) (* (cbrt (* (cbrt y) (cbrt y))) (cbrt (cbrt y))))) (cbrt y)) i))

series1.5s

Counts

4 → 12

Calls

4 calls:

247.0ms	(cbrt y)
299.0ms	(cbrt (cbrt y))
328.0ms	(cbrt (* (cbrt y) (cbrt y)))
642.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (* (+ (* (+ (* (+ y a) y) b) y) c) (* (cbrt y) (* (cbrt (* (cbrt y) (cbrt y))) (cbrt (cbrt y))))) (cbrt y)) i))

simplify2.4s

Counts

81 → 81

Iterations

Iter	Nodes
3	5058
2	1065
1	344
0	153

prune1.8s

Pruning

14 alts after pruning (12 fresh and 2 done)

Merged error: 29.0b

regimes1.9s

Accuracy

0% (0.9b remaining)

Error of 28.4b against oracle of 27.5b and baseline of 28.4b

bsearch0.0ms

simplify12.0ms

Iterations

Iter	Nodes
2	44
1	44
0	28

end0.0ms

sample3.0s

Algorithm

intervals

Results

2.5s

8217×

body

valid