Details

sample57.0ms

Algorithm

intervals

Results

37.0ms

268×

body

valid

simplify844.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	2000
5	1788
4	733
3	264
2	88
1	41
0	26

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 27.4b

localize75.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
0.1b	(* (+ (* (+ y a) y) b) y)
0.1b	(* (+ (* x y) z) y)
27.4b	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite248.0ms

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×	`insert-posit16` `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 → 95

Calls

4 calls:

44.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
35.0ms	(* (+ (* (+ y a) y) b) y)
22.0ms	(* (+ (* x y) z) y)
144.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series529.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
52.0ms	(* (+ (* (+ y a) y) b) y)
52.0ms	(* (+ (* x y) z) y)
357.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify953.0ms

Counts

107 → 107

Iterations

Iter	Nodes
done	2001
2	1940
1	529
0	198

prune1.0s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 26.6b

localize66.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* (+ y a) y) b) y)
0.1b	(* (+ (* x y) z) y)
0.2b	(/ 1 (/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)))
27.4b	(/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))

rewrite300.0ms

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/` `insert-posit16` `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 → 159

Calls

4 calls:

42.0ms	(* (+ (* (+ y a) y) b) y)
22.0ms	(* (+ (* x y) z) y)
116.0ms	(/ 1 (/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)))
117.0ms	(/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))

series1.2s

Counts

4 → 12

Calls

4 calls:

43.0ms	(* (+ (* (+ y a) y) b) y)
49.0ms	(* (+ (* x y) z) y)
503.0ms	(/ 1 (/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)))
634.0ms	(/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))

simplify901.0ms

Counts

171 → 171

Iterations

Iter	Nodes
done	2000
1	747
0	279

prune1.4s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 26.6b

localize56.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* (+ y a) y) b) y)
0.1b	(* (+ (* x y) z) y)
1.1b	(/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
26.5b	(* (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))

rewrite470.0ms

Algorithm

rewrite-expression-head

Rules

35×	`add-sqr-sqrt`
25×	`*-un-lft-identity`
24×	`add-cube-cbrt`
21×	`associate-l` `add-exp-log`
20×	`times-frac`
15×	`add-cbrt-cube`
11×	`pow1`
9×	`associate-r`
6×	`flip3-+` `prod-exp` `flip-+`
5×	`associate-*l/` `unswap-sqr`
4×	`div-exp` `associate-/r/` `cbrt-unprod` `insert-posit16` `add-log-exp`
3×	`associate-/r` `pow-prod-down` `-commutative` `associate-/l*`
2×	`frac-times` `cbrt-undiv` `rec-exp` `1-exp` `associate-*r/` `div-inv`
1×	`distribute-rgt-in` `clear-num` `frac-2neg` `distribute-lft-in` `pow-flip` `inv-pow`

Counts

4 → 120

Calls

4 calls:

52.0ms	(* (+ (* (+ y a) y) b) y)
22.0ms	(* (+ (* x y) z) y)
53.0ms	(/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
341.0ms	(* (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))

series722.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(* (+ (* (+ y a) y) b) y)
43.0ms	(* (+ (* x y) z) y)
63.0ms	(/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
575.0ms	(* (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))

simplify811.0ms

Counts

132 → 132

Iterations

Iter	Nodes
done	2001
1	705
0	220

prune1.2s

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 26.6b

localize76.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* x y) z) y)
0.2b	(/ 1 (* (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (/ 1 (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))))
0.2b	(/ 1 (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))
27.5b	(* (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (/ 1 (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)))

rewrite701.0ms

Algorithm

rewrite-expression-head

Rules

54×	`add-exp-log`
33×	`add-sqr-sqrt`
25×	`*-un-lft-identity`
24×	`add-cube-cbrt`
23×	`times-frac`
22×	`add-cbrt-cube`
20×	`div-exp`
18×	`associate-r`
17×	`prod-exp`
12×	`pow1`
10×	`rec-exp` `1-exp` `associate-/r/`
7×	`flip3-+` `flip-+`
6×	`cbrt-undiv` `associate-l` `associate-l/` `associate-/l`
5×	`cbrt-unprod`
4×	`frac-times` `associate-/r*` `insert-posit16` `add-log-exp` `unswap-sqr`
3×	`pow-prod-down` `div-inv` `pow-flip`
2×	`clear-num` `frac-2neg` `associate-r/` `un-div-inv` `-commutative` `inv-pow`

Counts

4 → 143

Calls

4 calls:

36.0ms	(* (+ (* x y) z) y)
223.0ms	(/ 1 (* (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (/ 1 (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))))
90.0ms	(/ 1 (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))
349.0ms	(* (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (/ 1 (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)))

series1.2s

Counts

4 → 12

Calls

4 calls:

41.0ms	(* (+ (* x y) z) y)
457.0ms	(/ 1 (* (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (/ 1 (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))))
131.0ms	(/ 1 (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))
568.0ms	(* (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (/ 1 (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)))

simplify1.3s

Counts

155 → 155

Iterations

Iter	Nodes
done	2000
2	1955
1	596
0	219

prune1.1s

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 26.6b

regimes1.5s

Accuracy

0% (0.7b remaining)

Error of 27.8b against oracle of 27.1b and baseline of 27.8b

bsearch0.0ms

simplify12.0ms

Iterations

Iter	Nodes
done	46
1	46
0	28

end0.0ms

sample2.9s

Algorithm

intervals

Results

2.0s

8236×

body

valid