Details

sample55.0ms

Algorithm

intervals

Results

25.0ms

260×

body

valid

simplify2.3s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
5	2858
4	824
3	264
2	88
1	41
0	26

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 26.6b

localize65.0ms

Local error

Found 4 expressions with local error:

0.1b	(* y (+ (* (+ (* y (+ z (* x y))) 27464.7644705) y) 230661.510616))
0.1b	(* (+ (* y (+ z (* x y))) 27464.7644705) y)
0.1b	(* y (+ (* y (+ (* (+ y a) y) b)) c))
26.0b	(/ (+ (* y (+ (* (+ (* y (+ z (* x y))) 27464.7644705) y) 230661.510616)) t) (+ i (* y (+ (* y (+ (* (+ y a) y) b)) c))))

rewrite262.0ms

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`
5×	`flip3-+` `flip-+`
4×	`associate-*r/` `add-log-exp`
3×	`associate-/r` `pow-prod-down` `prod-exp` `-commutative` `cbrt-unprod` `associate-/l*` `unswap-sqr`
2×	`distribute-rgt-in` `distribute-lft-in` `associate-*l/` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `div-inv`

Counts

4 → 95

Calls

4 calls:

58.0ms	(* y (+ (* (+ (* y (+ z (* x y))) 27464.7644705) y) 230661.510616))
46.0ms	(* (+ (* y (+ z (* x y))) 27464.7644705) y)
86.0ms	(* y (+ (* y (+ (* (+ y a) y) b)) c))
69.0ms	(/ (+ (* y (+ (* (+ (* y (+ z (* x y))) 27464.7644705) y) 230661.510616)) t) (+ i (* y (+ (* y (+ (* (+ y a) y) b)) c))))

series639.0ms

Counts

4 → 12

Calls

4 calls:

122.0ms	(* y (+ (* (+ (* y (+ z (* x y))) 27464.7644705) y) 230661.510616))
70.0ms	(* (+ (* y (+ z (* x y))) 27464.7644705) y)
109.0ms	(* y (+ (* y (+ (* (+ y a) y) b)) c))
339.0ms	(/ (+ (* y (+ (* (+ (* y (+ z (* x y))) 27464.7644705) y) 230661.510616)) t) (+ i (* y (+ (* y (+ (* (+ y a) y) b)) c))))

simplify1.8s

Counts

107 → 107

Iterations

Iter	Nodes
done	5000
2	3380
1	613
0	206

prune1.4s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 25.5b

localize63.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ z (* y x)) y)
0.1b	(* y (+ (* y (+ (* (+ y a) y) b)) c))
0.9b	(* (+ 27464.7644705 (* (+ z (* y x)) y)) (* y y))
26.0b	(/ (+ (+ (* (+ 27464.7644705 (* (+ z (* y x)) y)) (* y y)) (* 230661.510616 y)) t) (+ i (* y (+ (* y (+ (* (+ y a) y) b)) c))))

rewrite395.0ms

Algorithm

rewrite-expression-head

Rules

26×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
18×	`add-cube-cbrt`
15×	`add-cbrt-cube` `add-exp-log`
13×	`pow1`
12×	`times-frac`
9×	`associate-l`
7×	`associate-r`
5×	`flip3-+` `pow-prod-down` `prod-exp` `cbrt-unprod` `flip-+`
4×	`associate-l/` `distribute-lft-out` `associate-/l` `add-log-exp`
3×	`associate-/r` `-commutative` `unswap-sqr`
2×	`associate-*r/` `associate-/r/` `associate-/l/`
1×	`distribute-rgt-in` `cbrt-undiv` `clear-num` `frac-2neg` `distribute-lft-in` `div-exp` `div-inv`

Counts

4 → 98

Calls

4 calls:

16.0ms	(* (+ z (* y x)) y)
85.0ms	(* y (+ (* y (+ (* (+ y a) y) b)) c))
37.0ms	(* (+ 27464.7644705 (* (+ z (* y x)) y)) (* y y))
253.0ms	(/ (+ (+ (* (+ 27464.7644705 (* (+ z (* y x)) y)) (* y y)) (* 230661.510616 y)) t) (+ i (* y (+ (* y (+ (* (+ y a) y) b)) c))))

series829.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(* (+ z (* y x)) y)
120.0ms	(* y (+ (* y (+ (* (+ y a) y) b)) c))
127.0ms	(* (+ 27464.7644705 (* (+ z (* y x)) y)) (* y y))
525.0ms	(/ (+ (+ (* (+ 27464.7644705 (* (+ z (* y x)) y)) (* y y)) (* 230661.510616 y)) t) (+ i (* y (+ (* y (+ (* (+ y a) y) b)) c))))

simplify2.4s

Counts

110 → 110

Iterations

Iter	Nodes
done	5000
2	3748
1	622
0	206

prune1.1s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 25.5b

localize39.0ms

Local error

Found 4 expressions with local error:

0.9b	(* (+ 27464.7644705 (* (+ z (* y x)) y)) (* y y))
3.3b	(+ (* (+ b (* y (+ y a))) (* y y)) (* c y))
5.2b	(* (+ b (* y (+ y a))) (* y y))
26.0b	(/ (+ (+ (* (+ 27464.7644705 (* (+ z (* y x)) y)) (* y y)) (* 230661.510616 y)) t) (+ i (+ (* (+ b (* y (+ y a))) (* y y)) (* c y))))

rewrite415.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 93

Calls

4 calls:

24.0ms	(* (+ 27464.7644705 (* (+ z (* y x)) y)) (* y y))
35.0ms	(+ (* (+ b (* y (+ y a))) (* y y)) (* c y))
29.0ms	(* (+ b (* y (+ y a))) (* y y))
324.0ms	(/ (+ (+ (* (+ 27464.7644705 (* (+ z (* y x)) y)) (* y y)) (* 230661.510616 y)) t) (+ i (+ (* (+ b (* y (+ y a))) (* y y)) (* c y))))

series888.0ms

Counts

4 → 12

Calls

4 calls:

122.0ms	(* (+ 27464.7644705 (* (+ z (* y x)) y)) (* y y))
156.0ms	(+ (* (+ b (* y (+ y a))) (* y y)) (* c y))
85.0ms	(* (+ b (* y (+ y a))) (* y y))
525.0ms	(/ (+ (+ (* (+ 27464.7644705 (* (+ z (* y x)) y)) (* y y)) (* 230661.510616 y)) t) (+ i (+ (* (+ b (* y (+ y a))) (* y y)) (* c y))))

simplify1.8s

Counts

105 → 105

Iterations

Iter	Nodes
done	5001
2	3018
1	553
0	186

prune1.1s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 25.5b

localize78.0ms

Local error

Found 4 expressions with local error:

3.7b	(* (pow y 3) x)
6.3b	(+ (* (* y y) z) (+ (* (pow y 3) x) (* 27464.7644705 y)))
7.6b	(* (* y y) z)
26.0b	(/ (+ (* y (+ (+ (* (* y y) z) (+ (* (pow y 3) x) (* 27464.7644705 y))) 230661.510616)) t) (+ i (* y (+ (* y (+ (* (+ y a) y) b)) c))))

rewrite447.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
17×	`*-un-lft-identity` `add-cube-cbrt`
16×	`add-exp-log`
13×	`add-cbrt-cube` `associate-l`
9×	`pow1` `times-frac` `add-log-exp`
6×	`associate-r` `prod-exp`
5×	`unswap-sqr`
4×	`unpow-prod-down` `cube-prod` `cbrt-unprod`
3×	`associate-/r` `sum-log` `flip3-+` `pow-prod-down` `flip-+` `associate-/l`
2×	`associate-/r/` `*-commutative` `sqr-pow` `associate-/l/`
1×	`cube-mult` `pow-to-exp` `cbrt-undiv` `+-commutative` `associate-+r+` `clear-num` `frac-2neg` `unpow3` `div-exp` `pow-exp` `div-inv`

Counts

4 → 94

Calls

4 calls:

19.0ms	(* (pow y 3) x)
26.0ms	(+ (* (* y y) z) (+ (* (pow y 3) x) (* 27464.7644705 y)))
14.0ms	(* (* y y) z)
383.0ms	(/ (+ (* y (+ (+ (* (* y y) z) (+ (* (pow y 3) x) (* 27464.7644705 y))) 230661.510616)) t) (+ i (* y (+ (* y (+ (* (+ y a) y) b)) c))))

series577.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(* (pow y 3) x)
82.0ms	(+ (* (* y y) z) (+ (* (pow y 3) x) (* 27464.7644705 y)))
21.0ms	(* (* y y) z)
431.0ms	(/ (+ (* y (+ (+ (* (* y y) z) (+ (* (pow y 3) x) (* 27464.7644705 y))) 230661.510616)) t) (+ i (* y (+ (* y (+ (* (+ y a) y) b)) c))))

simplify2.3s

Counts

106 → 106

Iterations

Iter	Nodes
done	5002
2	3343
1	540
0	190

prune1.1s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 25.5b

regimes1.2s

Accuracy

0% (1.2b remaining)

Error of 28.7b against oracle of 27.5b and baseline of 28.7b

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	44
1	44
0	29

end0.0ms

sample2.7s

Algorithm

intervals

Results

1.9s

8255×

body

valid