Details

sample37.0ms

Algorithm

intervals

Results

17.0ms

264×

body

valid

simplify3.5s

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	1192	33
7	1316	33
8	1737	33
9	3239	33
done	5000	33

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 27.4b

localize27.0ms

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))

rewrite118.0ms

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)
20.0ms	(* (+ (* (+ (* 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))

series483.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(* (+ (* (+ y a) y) b) y)
52.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
70.0ms	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
325.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify631.0ms

Counts

103 → 103

Iterations

Useful iterations: 2 (155.0ms)

Iter	Nodes	Cost
0	195	2617
1	508	2547
2	1819	2333
done	5001	2333

prune495.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 26.4b

localize27.0ms

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))

rewrite224.0ms

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:

22.0ms	(+ (* y b) (+ (pow y 3) (* a (pow y 2))))
8.0ms	(+ (pow y 3) (* a (pow y 2)))
5.0ms	(* a (pow y 2))
186.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (+ (* y b) (+ (pow y 3) (* a (pow y 2)))) c) y) i))

series439.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(+ (* y b) (+ (pow y 3) (* a (pow y 2))))
40.0ms	(+ (pow y 3) (* a (pow y 2)))
30.0ms	(* a (pow y 2))
328.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (+ (* y b) (+ (pow y 3) (* a (pow y 2)))) c) y) i))

simplify697.0ms

Counts

94 → 94

Iterations

Useful iterations: 2 (230.0ms)

Iter	Nodes	Cost
0	176	2531
1	461	2441
2	1624	2240
done	5000	2240

prune478.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 26.4b

localize32.0ms

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) (/ 1 (+ (* (+ (+ (* y b) (+ (pow y 3) (* a (pow y 2)))) c) y) i)))

rewrite407.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
23×	`associate-r`
18×	`add-exp-log`
16×	`*-un-lft-identity`
15×	`add-cube-cbrt`
11×	`times-frac` `add-cbrt-cube` `add-log-exp`
7×	`prod-exp` `unswap-sqr`
6×	`pow1` `associate-l`
5×	`flip3-+` `flip-+`
4×	`unpow-prod-down` `sum-log`
3×	`cbrt-unprod`
2×	`+-commutative` `frac-times` `div-exp` `associate-l/` `associate-/r/` `-commutative` `unpow2` `sqr-pow`
1×	`cbrt-undiv` `pow-to-exp` `rec-exp` `associate-+r+` `1-exp` `associate-*r/` `pow-prod-down` `pow-exp` `un-div-inv` `div-inv`

Counts

4 → 93

Calls

4 calls:

23.0ms	(+ (* y b) (+ (pow y 3) (* a (pow y 2))))
8.0ms	(+ (pow y 3) (* a (pow y 2)))
6.0ms	(* a (pow y 2))
367.0ms	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* (+ (+ (* y b) (+ (pow y 3) (* a (pow y 2)))) c) y) i)))

series446.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(+ (* y b) (+ (pow y 3) (* a (pow y 2))))
46.0ms	(+ (pow y 3) (* a (pow y 2)))
30.0ms	(* a (pow y 2))
331.0ms	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* (+ (+ (* y b) (+ (pow y 3) (* a (pow y 2)))) c) y) i)))

simplify950.0ms

Counts

105 → 105

Iterations

Useful iterations: 2 (290.0ms)

Iter	Nodes	Cost
0	208	2879
1	585	2699
2	2205	2410
done	5000	2410

prune516.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 26.4b

localize33.0ms

Local error

Found 4 expressions with local error:

25.9b	(cbrt (+ (* y b) (+ (pow y 3) (* a (pow y 2)))))
25.9b	(cbrt (+ (* y b) (+ (pow y 3) (* a (pow y 2)))))
25.9b	(cbrt (+ (* y b) (+ (pow y 3) (* a (pow y 2)))))
26.7b	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (* (cbrt (+ (* y b) (+ (pow y 3) (* a (pow y 2))))) (cbrt (+ (* y b) (+ (pow y 3) (* a (pow y 2)))))) (cbrt (+ (* y b) (+ (pow y 3) (* a (pow y 2)))))) c) y) i))

rewrite459.0ms

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:

20.0ms	(cbrt (+ (* y b) (+ (pow y 3) (* a (pow y 2)))))
19.0ms	(cbrt (+ (* y b) (+ (pow y 3) (* a (pow y 2)))))
19.0ms	(cbrt (+ (* y b) (+ (pow y 3) (* a (pow y 2)))))
399.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (* (cbrt (+ (* y b) (+ (pow y 3) (* a (pow y 2))))) (cbrt (+ (* y b) (+ (pow y 3) (* a (pow y 2)))))) (cbrt (+ (* y b) (+ (pow y 3) (* a (pow y 2)))))) c) y) i))

series779.0ms

Counts

4 → 12

Calls

4 calls:

152.0ms	(cbrt (+ (* y b) (+ (pow y 3) (* a (pow y 2)))))
148.0ms	(cbrt (+ (* y b) (+ (pow y 3) (* a (pow y 2)))))
153.0ms	(cbrt (+ (* y b) (+ (pow y 3) (* a (pow y 2)))))
325.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (* (cbrt (+ (* y b) (+ (pow y 3) (* a (pow y 2))))) (cbrt (+ (* y b) (+ (pow y 3) (* a (pow y 2)))))) (cbrt (+ (* y b) (+ (pow y 3) (* a (pow y 2)))))) c) y) i))

simplify1.7s

Counts

82 → 82

Iterations

Useful iterations: 3 (491.0ms)

Iter	Nodes	Cost
0	133	4294
1	330	4250
2	1048	2718
3	4441	2371
done	5000	2371

prune583.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 26.4b

regimes619.0ms

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	32	39
1	50	39
done	50	39

end0.0ms

sample896.0ms

Algorithm

intervals

Results

542.0ms

8248×

body

valid