Details

sample52.0ms

Algorithm

intervals

Results

22.0ms

264×

body

valid

simplify3.3s

Counts

1 → 1

Iterations

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

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.2b

localize59.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ (* (+ y a) y) b) y)
0.1b	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
0.1b	(* (+ (* x y) z) y)
27.5b	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite314.0ms

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×	`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 → 91

Calls

4 calls:

66.0ms	(* (+ (* (+ y a) y) b) y)
81.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
35.0ms	(* (+ (* x y) z) y)
127.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series709.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(* (+ (* (+ y a) y) b) y)
98.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
45.0ms	(* (+ (* x y) z) y)
499.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify2.6s

Counts

103 → 103

Iterations

Iter	Nodes
done	5000
2	1958
1	525
0	194

prune1.4s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 27.0b

localize52.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* x y) z) y)
6.6b	(* a (* y y))
6.7b	(+ (* y (+ (* y y) b)) (* a (* y y)))
27.5b	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (+ (* y (+ (* y y) b)) (* a (* y y))) c) y) i))

rewrite264.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 83

Calls

4 calls:

39.0ms	(* (+ (* x y) z) y)
14.0ms	(* a (* y y))
22.0ms	(+ (* y (+ (* y y) b)) (* a (* y y)))
184.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (+ (* y (+ (* y y) b)) (* a (* y y))) c) y) i))

series646.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(* (+ (* x y) z) y)
41.0ms	(* a (* y y))
47.0ms	(+ (* y (+ (* y y) b)) (* a (* y y)))
506.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (+ (* y (+ (* y y) b)) (* a (* y y))) c) y) i))

simplify2.4s

Counts

95 → 95

Iterations

Iter	Nodes
done	5003
2	1807
1	508
0	181

prune1.1s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 27.0b

localize63.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ 1 (/ (+ (* (+ (+ (* y (+ (* y y) b)) (* a (* y y))) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)))
6.6b	(* a (* y y))
6.7b	(+ (* y (+ (* y y) b)) (* a (* y y)))
27.5b	(/ (+ (* (+ (+ (* y (+ (* y y) b)) (* a (* y y))) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))

rewrite501.0ms

Algorithm

rewrite-expression-head

Rules

90×	`times-frac`
58×	`add-sqr-sqrt`
57×	`*-un-lft-identity` `add-cube-cbrt`
22×	`add-exp-log`
18×	`associate-/r*`
16×	`add-cbrt-cube`
11×	`associate-/r/`
10×	`pow1`
8×	`div-exp`
7×	`flip3-+` `flip-+`
6×	`div-inv` `associate-/l*` `add-log-exp`
4×	`cbrt-undiv`
3×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`rec-exp` `associate-+l+` `clear-num` `frac-2neg` `1-exp` `associate-/l/`
1×	`distribute-rgt-in` `+-commutative` `sum-log` `distribute-lft-in` `associate-r` `*-commutative` `pow-flip` `inv-pow` `unswap-sqr`

Counts

4 → 147

Calls

4 calls:

189.0ms	(/ 1 (/ (+ (* (+ (+ (* y (+ (* y y) b)) (* a (* y y))) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)))
27.0ms	(* a (* y y))
26.0ms	(+ (* y (+ (* y y) b)) (* a (* y y)))
253.0ms	(/ (+ (* (+ (+ (* y (+ (* y y) b)) (* a (* y y))) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))

series1.3s

Counts

4 → 12

Calls

4 calls:

501.0ms	(/ 1 (/ (+ (* (+ (+ (* y (+ (* y y) b)) (* a (* y y))) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)))
39.0ms	(* a (* y y))
55.0ms	(+ (* y (+ (* y y) b)) (* a (* y y)))
743.0ms	(/ (+ (* (+ (+ (* y (+ (* y y) b)) (* a (* y y))) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))

simplify2.8s

Counts

159 → 159

Iterations

Iter	Nodes
done	5003
2	2361
1	710
0	258

prune1.9s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 27.0b

localize70.0ms

Local error

Found 4 expressions with local error:

0.5b	(/ 1 (+ (* (+ (+ (* y (+ (* y y) b)) (* a (* y y))) c) y) i))
6.6b	(* a (* y y))
6.7b	(+ (* y (+ (* y y) b)) (* a (* y y)))
27.2b	(/ (/ 1 (+ (* (+ (+ (* y (+ (* y y) b)) (* a (* y y))) c) y) i)) (/ 1 (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)))

rewrite480.0ms

Algorithm

rewrite-expression-head

Rules

522×	`times-frac`
238×	`add-sqr-sqrt`
237×	`*-un-lft-identity` `add-cube-cbrt`
67×	`associate-/r/`
53×	`add-exp-log`
34×	`flip3-+` `div-exp` `flip-+` `div-inv`
23×	`add-cbrt-cube`
18×	`associate-/r` `associate-/l`
10×	`pow1`
9×	`cbrt-undiv` `rec-exp` `1-exp`
6×	`add-log-exp`
3×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`associate-+l+` `clear-num` `frac-2neg`
1×	`distribute-rgt-in` `+-commutative` `sum-log` `distribute-lft-in` `associate-r` `*-commutative` `pow-flip` `inv-pow` `unswap-sqr` `associate-/l/`

Counts

4 → 352

Calls

4 calls:

131.0ms	(/ 1 (+ (* (+ (+ (* y (+ (* y y) b)) (* a (* y y))) c) y) i))
14.0ms	(* a (* y y))
26.0ms	(+ (* y (+ (* y y) b)) (* a (* y y)))
277.0ms	(/ (/ 1 (+ (* (+ (+ (* y (+ (* y y) b)) (* a (* y y))) c) y) i)) (/ 1 (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)))

series739.0ms

Counts

4 → 12

Calls

4 calls:

90.0ms	(/ 1 (+ (* (+ (+ (* y (+ (* y y) b)) (* a (* y y))) c) y) i))
49.0ms	(* a (* y y))
51.0ms	(+ (* y (+ (* y y) b)) (* a (* y y)))
549.0ms	(/ (/ 1 (+ (* (+ (+ (* y (+ (* y y) b)) (* a (* y y))) c) y) i)) (/ 1 (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)))

simplify3.4s

Counts

364 → 364

Iterations

Iter	Nodes
done	5001
1	1873
0	591

prune4.2s

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 26.9b

regimes2.0s

Accuracy

74.3% (0.3b remaining)

Error of 28.2b against oracle of 27.9b and baseline of 29.2b

bsearch9.0ms

simplify23.0ms

Iterations

Iter	Nodes
done	64
1	64
0	41

end0.0ms

sample2.5s

Algorithm

intervals

Results

1.9s

8247×

body

valid