Details

sample62.0ms

Algorithm

intervals

Results

26.0ms

260×

body

valid

simplify2.2s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	33
1	41	33
2	88	33
3	264	33
4	824	33
5	2858	33
done	5001	33

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 26.6b

localize37.0ms

Local error

Found 4 expressions with local error:

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

rewrite334.0ms

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:

25.0ms	(* (+ (* x y) z) y)
50.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
107.0ms	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
150.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series793.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(* (+ (* x y) z) y)
80.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
134.0ms	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
542.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify1.4s

Counts

103 → 103

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	195	2565
1	522	2499
2	2802	2293
done	5001	2291

prune1.0s

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 25.5b

localize87.0ms

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)
0.4b	(/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
25.9b	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))

rewrite473.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 115

Calls

4 calls:

39.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
55.0ms	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
62.0ms	(/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
311.0ms	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))

series851.0ms

Counts

4 → 12

Calls

4 calls:

79.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
119.0ms	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
91.0ms	(/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
562.0ms	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))

simplify3.8s

Counts

127 → 127

Iterations

Useful iterations: 2 (925.0ms)

Iter	Nodes	Cost
0	208	3519
1	587	3374
2	4468	2993
done	5002	2993

prune1.2s

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 25.5b

localize72.0ms

Local error

Found 4 expressions with local error:

3.7b	(* x (pow y 3))
6.3b	(+ (* z (pow y 2)) (* x (pow y 3)))
7.6b	(* z (pow y 2))
25.7b	(/ (+ (* (+ (+ (* z (pow y 2)) (* x (pow y 3))) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite202.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-sqr-sqrt`
20×	`associate-r`
19×	`*-un-lft-identity` `add-cube-cbrt`
16×	`add-exp-log`
10×	`add-cbrt-cube`
9×	`times-frac`
8×	`unpow-prod-down` `unswap-sqr`
6×	`associate-l` `prod-exp` `add-log-exp`
4×	`pow1` `cube-prod` `sqr-pow`
3×	`associate-/r` `flip3-+` `flip-+` `associate-/l`
2×	`pow-to-exp` `pow-exp` `associate-/r/` `*-commutative` `cbrt-unprod` `unpow2` `associate-/l/`
1×	`cube-mult` `cbrt-undiv` `+-commutative` `clear-num` `sum-log` `frac-2neg` `unpow3` `div-exp` `div-inv`

Counts

4 → 100

Calls

4 calls:

11.0ms	(* x (pow y 3))
8.0ms	(+ (* z (pow y 2)) (* x (pow y 3)))
10.0ms	(* z (pow y 2))
166.0ms	(/ (+ (* (+ (+ (* z (pow y 2)) (* x (pow y 3))) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series696.0ms

Counts

4 → 12

Calls

4 calls:

90.0ms	(* x (pow y 3))
117.0ms	(+ (* z (pow y 2)) (* x (pow y 3)))
39.0ms	(* z (pow y 2))
450.0ms	(/ (+ (* (+ (+ (* z (pow y 2)) (* x (pow y 3))) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify1.2s

Counts

112 → 112

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	193	2337
1	498	2239
2	2227	2046
done	5002	2041

prune967.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 25.5b

localize71.0ms

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)
0.5b	(/ 1 (/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)))
26.0b	(/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))

rewrite413.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 155

Calls

4 calls:

46.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
64.0ms	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
148.0ms	(/ 1 (/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)))
143.0ms	(/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))

series1.7s

Counts

4 → 12

Calls

4 calls:

65.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
107.0ms	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
684.0ms	(/ 1 (/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)))
864.0ms	(/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))

simplify2.2s

Counts

167 → 167

Iterations

Useful iterations: 2 (947.0ms)

Iter	Nodes	Cost
0	276	7304
1	746	7058
2	4966	6575
done	5001	6575

prune1.8s

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 25.5b

regimes1.5s

Accuracy

0% (1.1b remaining)

Error of 28.6b against oracle of 27.5b and baseline of 28.6b

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	33
1	41	33
done	41	33

end0.0ms

sample2.3s

Algorithm

intervals

Results

1.5s

8255×

body

valid