Details

sample41.0ms

Algorithm

intervals

Results

20.0ms

264×

body

valid

simplify2.7s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	33
1	41	33
2	88	33
3	178	33
4	397	33
5	800	33
6	1196	33
7	1300	33
8	1630	33
9	2737	33
done	5000	33

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 27.4b

localize25.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* (+ y a) y) b) y)
0.1b	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
0.1b	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
26.7b	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite126.0ms

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:

19.0ms	(* (+ (* (+ y a) y) b) y)
21.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
33.0ms	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
50.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series484.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(* (+ (* (+ y a) y) b) y)
56.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
67.0ms	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
327.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify829.0ms

Counts

103 → 103

Iterations

Useful iterations: 2 (219.0ms)

Iter	Nodes	Cost
0	195	2617
1	508	2547
2	1776	2333
done	5000	2333

prune515.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 26.4b

localize29.0ms

Local error

Found 4 expressions with local error:

4.3b	(+ (* y b) (+ (pow y 3) (* a (pow y 2))))
6.3b	(+ (pow y 3) (* a (pow y 2)))
7.3b	(* a (pow y 2))
26.7b	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (+ (* y b) (+ (pow y 3) (* a (pow y 2)))) c) y) i))

rewrite250.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`add-exp-log` `add-log-exp`
9×	`times-frac`
8×	`associate-r` `add-cbrt-cube`
4×	`pow1` `unpow-prod-down` `flip3-+` `sum-log` `flip-+` `unswap-sqr`
3×	`associate-l` `prod-exp` `associate-/r` `associate-/l`
2×	`+-commutative` `associate-/r/` `associate-/l/` `unpow2` `sqr-pow`
1×	`cbrt-undiv` `pow-to-exp` `associate-+r+` `frac-2neg` `div-exp` `pow-exp` `clear-num` `*-commutative` `cbrt-unprod` `div-inv`

Counts

4 → 82

Calls

4 calls:

26.0ms	(+ (* y b) (+ (pow y 3) (* a (pow y 2))))
9.0ms	(+ (pow y 3) (* a (pow y 2)))
6.0ms	(* a (pow y 2))
206.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (+ (* y b) (+ (pow y 3) (* a (pow y 2)))) c) y) i))

series450.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(+ (* y b) (+ (pow y 3) (* a (pow y 2))))
38.0ms	(+ (pow y 3) (* a (pow y 2)))
34.0ms	(* a (pow y 2))
339.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (+ (* y b) (+ (pow y 3) (* a (pow y 2)))) c) y) i))

simplify773.0ms

Counts

94 → 94

Iterations

Useful iterations: done (770.0ms)

Iter	Nodes	Cost
0	176	2531
1	461	2441
2	1491	2240
done	5000	2070

prune509.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 26.4b

localize28.0ms

Local error

Found 4 expressions with local error:

25.9b	(cbrt (+ (* (pow y 2) (+ y a)) (* y b)))
25.9b	(cbrt (+ (* (pow y 2) (+ y a)) (* y b)))
25.9b	(cbrt (+ (* (pow y 2) (+ y a)) (* y b)))
26.7b	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (* (cbrt (+ (* (pow y 2) (+ y a)) (* y b))) (cbrt (+ (* (pow y 2) (+ y a)) (* y b)))) (cbrt (+ (* (pow y 2) (+ y a)) (* y b)))) c) y) i))

rewrite178.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 70

Calls

4 calls:

5.0ms	(cbrt (+ (* (pow y 2) (+ y a)) (* y b)))
5.0ms	(cbrt (+ (* (pow y 2) (+ y a)) (* y b)))
5.0ms	(cbrt (+ (* (pow y 2) (+ y a)) (* y b)))
162.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (* (cbrt (+ (* (pow y 2) (+ y a)) (* y b))) (cbrt (+ (* (pow y 2) (+ y a)) (* y b)))) (cbrt (+ (* (pow y 2) (+ y a)) (* y b)))) c) y) i))

series772.0ms

Counts

4 → 12

Calls

4 calls:

142.0ms	(cbrt (+ (* (pow y 2) (+ y a)) (* y b)))
147.0ms	(cbrt (+ (* (pow y 2) (+ y a)) (* y b)))
139.0ms	(cbrt (+ (* (pow y 2) (+ y a)) (* y b)))
344.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (* (cbrt (+ (* (pow y 2) (+ y a)) (* y b))) (cbrt (+ (* (pow y 2) (+ y a)) (* y b)))) (cbrt (+ (* (pow y 2) (+ y a)) (* y b)))) c) y) i))

simplify1.9s

Counts

82 → 82

Iterations

Useful iterations: 3 (694.0ms)

Iter	Nodes	Cost
0	132	3880
1	328	3854
2	1033	2502
3	4149	2167
done	5000	2167

prune594.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 26.4b

localize29.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ 1 (+ (* (+ (+ (pow y 3) c) (* y (+ b (* a y)))) y) i))
0.1b	(* y (+ b (* a y)))
7.5b	(+ (+ (pow y 3) c) (* y (+ b (* a y))))
26.7b	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* (+ (+ (pow y 3) c) (* y (+ b (* a y)))) y) i)))

rewrite313.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 116

Calls

4 calls:

67.0ms	(/ 1 (+ (* (+ (+ (pow y 3) c) (* y (+ b (* a y)))) y) i))
7.0ms	(* y (+ b (* a y)))
49.0ms	(+ (+ (pow y 3) c) (* y (+ b (* a y))))
185.0ms	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* (+ (+ (pow y 3) c) (* y (+ b (* a y)))) y) i)))

series485.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(/ 1 (+ (* (+ (+ (pow y 3) c) (* y (+ b (* a y)))) y) i))
35.0ms	(* y (+ b (* a y)))
57.0ms	(+ (+ (pow y 3) c) (* y (+ b (* a y))))
336.0ms	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* (+ (+ (pow y 3) c) (* y (+ b (* a y)))) y) i)))

simplify924.0ms

Counts

128 → 128

Iterations

Useful iterations: 2 (243.0ms)

Iter	Nodes	Cost
0	235	3827
1	681	3595
2	2387	3251
done	5001	3251

prune538.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 26.4b

regimes629.0ms

Accuracy

0% (1.2b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	31	62
1	47	62
done	47	62

end0.0ms

sample940.0ms

Algorithm

intervals

Results

563.0ms

8248×

body

valid