Details

sample42.0ms

Algorithm

intervals

Results

21.0ms

264×

body

valid

simplify2.6s

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

localize26.0ms

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))

rewrite119.0ms

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:

18.0ms	(* (+ (* (+ y a) y) b) y)
19.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
32.0ms	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
47.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series490.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(* (+ (* (+ y a) y) b) y)
57.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
66.0ms	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
333.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify780.0ms

Counts

103 → 103

Iterations

Useful iterations: 2 (206.0ms)

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

prune512.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 26.4b

localize26.0ms

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))

rewrite233.0ms

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:

24.0ms	(+ (* y b) (+ (pow y 3) (* a (pow y 2))))
9.0ms	(+ (pow y 3) (* a (pow y 2)))
6.0ms	(* a (pow y 2))
192.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (+ (* y b) (+ (pow y 3) (* a (pow y 2)))) c) y) i))

series446.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(+ (* y b) (+ (pow y 3) (* a (pow y 2))))
42.0ms	(+ (pow y 3) (* a (pow y 2)))
30.0ms	(* a (pow y 2))
337.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (+ (* y b) (+ (pow y 3) (* a (pow y 2)))) c) y) i))

simplify720.0ms

Counts

94 → 94

Iterations

Useful iterations: done (717.0ms)

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

prune497.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 26.4b

localize30.0ms

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))

rewrite168.0ms

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)))
152.0ms	(/ (+ (* (+ (* (+ (* (+ (* 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))

series880.0ms

Counts

4 → 12

Calls

4 calls:

133.0ms	(cbrt (+ (* (pow y 2) (+ y a)) (* y b)))
137.0ms	(cbrt (+ (* (pow y 2) (+ y a)) (* y b)))
136.0ms	(cbrt (+ (* (pow y 2) (+ y a)) (* y b)))
474.0ms	(/ (+ (* (+ (* (+ (* (+ (* 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))

simplify1.8s

Counts

82 → 82

Iterations

Useful iterations: 3 (676.0ms)

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

prune573.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 26.4b

localize30.0ms

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

rewrite181.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 115

Calls

4 calls:

22.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
30.0ms	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
25.0ms	(/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
101.0ms	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))

series508.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
69.0ms	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
56.0ms	(/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
331.0ms	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))

simplify995.0ms

Counts

127 → 127

Iterations

Useful iterations: 2 (300.0ms)

Iter	Nodes	Cost
0	208	3519
1	558	3333
2	1888	2985
done	5001	2985

prune473.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 26.4b

regimes606.0ms

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

sample969.0ms

Algorithm

intervals

Results

585.0ms

8248×

body

valid