Details

sample64.0ms

Algorithm

intervals

Results

25.0ms

263×

body

valid

simplify6.3s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
7	4646
6	3199
5	1788
4	733
3	264
2	88
1	41
0	26

prune20.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.7b

localize200.0ms

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	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
28.0b	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite645.0ms

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:

140.0ms	(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
120.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
131.0ms	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
245.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series1.4s

Counts

4 → 12

Calls

4 calls:

203.0ms	(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
129.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
118.0ms	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
998.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify4.1s

Counts

107 → 107

Iterations

Iter	Nodes
done	5002
2	1940
1	524
0	200

prune2.7s

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 27.7b

localize294.0ms

Local error

Found 4 expressions with local error:

23.2b	(cbrt (+ (* (+ (* (+ y a) y) b) y) c))
23.2b	(cbrt (+ (* (+ (* (+ y a) y) b) y) c))
23.2b	(cbrt (+ (* (+ (* (+ y a) y) b) y) c))
28.0b	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (* (cbrt (+ (* (+ (* (+ y a) y) b) y) c)) (cbrt (+ (* (+ (* (+ y a) y) b) y) c))) (* (cbrt (+ (* (+ (* (+ y a) y) b) y) c)) y)) i))

rewrite1.1s

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 74

Calls

4 calls:

47.0ms	(cbrt (+ (* (+ (* (+ y a) y) b) y) c))
46.0ms	(cbrt (+ (* (+ (* (+ y a) y) b) y) c))
37.0ms	(cbrt (+ (* (+ (* (+ y a) y) b) y) c))
954.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (* (cbrt (+ (* (+ (* (+ y a) y) b) y) c)) (cbrt (+ (* (+ (* (+ y a) y) b) y) c))) (* (cbrt (+ (* (+ (* (+ y a) y) b) y) c)) y)) i))

series2.1s

Counts

4 → 12

Calls

4 calls:

330.0ms	(cbrt (+ (* (+ (* (+ y a) y) b) y) c))
360.0ms	(cbrt (+ (* (+ (* (+ y a) y) b) y) c))
326.0ms	(cbrt (+ (* (+ (* (+ y a) y) b) y) c))
1.0s	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (* (cbrt (+ (* (+ (* (+ y a) y) b) y) c)) (cbrt (+ (* (+ (* (+ y a) y) b) y) c))) (* (cbrt (+ (* (+ (* (+ y a) y) b) y) c)) y)) i))

simplify7.0s

Counts

86 → 86

Iterations

Iter	Nodes
done	5000
3	4172
2	989
1	313
0	129

prune2.6s

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 27.7b

localize192.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
0.1b	(* y (+ c (* y (+ b (* (+ y a) y)))))
0.3b	(/ 1 (+ (* y (+ c (* y (+ b (* (+ y a) y))))) i))
27.7b	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* y (+ c (* y (+ b (* (+ y a) y))))) i)))

rewrite559.0ms

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-+` `prod-exp` `flip-+`
5×	`unswap-sqr`
4×	`div-exp` `associate-*l/` `associate-/r/` `cbrt-unprod` `insert-posit16` `add-log-exp`
3×	`associate-/r` `pow-prod-down` `associate-r/` `-commutative` `associate-/l`
2×	`frac-times` `cbrt-undiv` `rec-exp` `1-exp` `div-inv`
1×	`distribute-rgt-in` `clear-num` `frac-2neg` `distribute-lft-in` `un-div-inv` `pow-flip` `inv-pow`

Counts

4 → 121

Calls

4 calls:

113.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
33.0ms	(* y (+ c (* y (+ b (* (+ y a) y)))))
40.0ms	(/ 1 (+ (* y (+ c (* y (+ b (* (+ y a) y))))) i))
357.0ms	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* y (+ c (* y (+ b (* (+ y a) y))))) i)))

series1.4s

Counts

4 → 12

Calls

4 calls:

120.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
133.0ms	(* y (+ c (* y (+ b (* (+ y a) y)))))
165.0ms	(/ 1 (+ (* y (+ c (* y (+ b (* (+ y a) y))))) i))
992.0ms	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* y (+ c (* y (+ b (* (+ y a) y))))) i)))

simplify4.7s

Counts

133 → 133

Iterations

Iter	Nodes
done	5003
2	2372
1	633
0	217

prune3.1s

Pruning

13 alts after pruning (10 fresh and 3 done)

Merged error: 27.7b

localize451.0ms

Local error

Found 4 expressions with local error:

16.1b	(cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))
16.1b	(cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))
16.1b	(cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))
23.8b	(* (* (cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)) (cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))) (* (cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)) (/ 1 (+ (* y (+ c (* y (+ b (* (+ y a) y))))) i))))

rewrite1.7s

Algorithm

rewrite-expression-head

Rules

126×	`cbrt-div`
94×	`frac-times`
63×	`flip3-+` `flip-+`
40×	`associate-*l/`
39×	`add-exp-log`
29×	`associate-*r/`
23×	`prod-exp`
16×	`pow1`
15×	`add-cbrt-cube`
13×	`cbrt-unprod`
9×	`cbrt-prod` `un-div-inv`
8×	`pow-prod-down`
7×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`div-exp` `insert-posit16` `add-log-exp`
3×	`pow1/3`
2×	`cbrt-undiv` `rec-exp` `1-exp`
1×	`associate-r` `associate-l` `*-commutative`

Counts

4 → 135

Calls

4 calls:

66.0ms	(cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))
78.0ms	(cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))
78.0ms	(cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))
1.5s	(* (* (cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)) (cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))) (* (cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)) (/ 1 (+ (* y (+ c (* y (+ b (* (+ y a) y))))) i))))

series3.0s

Counts

4 → 12

Calls

4 calls:

562.0ms	(cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))
754.0ms	(cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))
665.0ms	(cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))
1.1s	(* (* (cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)) (cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))) (* (cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)) (/ 1 (+ (* y (+ c (* y (+ b (* (+ y a) y))))) i))))

simplify6.8s

Counts

147 → 147

Iterations

Iter	Nodes
done	5002
2	3047
1	866
0	245

prune3.0s

Pruning

13 alts after pruning (9 fresh and 4 done)

Merged error: 27.7b

regimes5.6s

Accuracy

0% (1.1b remaining)

Error of 29.6b against oracle of 28.5b and baseline of 29.6b

bsearch0.0ms

simplify13.0ms

Iterations

Iter	Nodes
done	41
1	41
0	26

end0.0ms

sample2.7s

Algorithm

intervals

Results

1.9s

8266×

body

valid