Details

sample113.0ms

Algorithm

intervals

Results

78.0ms

259×

body

valid

simplify1.2s

Counts

1 → 1

Iterations

Iter	Nodes
6	3197
5	1788
4	733
3	264
2	88
1	41
0	26

prune18.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 27.2b

localize58.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
0.1b	(* (+ (* x y) z) y)
0.1b	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
27.1b	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite374.0ms

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:

66.0ms	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
43.0ms	(* (+ (* x y) z) y)
80.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
182.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series683.0ms

Counts

4 → 12

Calls

4 calls:

112.0ms	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
43.0ms	(* (+ (* x y) z) y)
72.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
456.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify8.0s

Counts

107 → 107

Iterations

Iter	Nodes
3	7927
2	1913
1	524
0	199

prune2.3s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 26.6b

localize106.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)
27.1b	(/ (+ (* (+ (* (* (+ (* (+ (* x y) z) y) 27464.7644705) (* (cbrt y) (cbrt y))) (cbrt y)) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite375.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`cbrt-prod` `times-frac`
6×	`add-cbrt-cube` `add-exp-log`
4×	`pow1` `insert-posit16` `add-log-exp`
3×	`associate-/r` `pow1/3` `associate-/l`
2×	`flip3-+` `associate-/r/` `flip-+` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `div-inv`

Counts

4 → 68

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)
370.0ms	(/ (+ (* (+ (* (* (+ (* (+ (* x y) z) y) 27464.7644705) (* (cbrt y) (cbrt y))) (cbrt y)) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series1.4s

Counts

4 → 12

Calls

4 calls:

308.0ms	(cbrt y)
296.0ms	(cbrt y)
274.0ms	(cbrt y)
568.0ms	(/ (+ (* (+ (* (* (+ (* (+ (* x y) z) y) 27464.7644705) (* (cbrt y) (cbrt y))) (cbrt y)) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify1.5s

Counts

80 → 80

Iterations

Iter	Nodes
3	3617
2	827
1	268
0	115

prune1.7s

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 26.6b

localize69.0ms

Local error

Found 4 expressions with local error:

0.1b	(* y (+ z (* x y)))
0.1b	(* y (+ (* y (+ z (* x y))) 27464.7644705))
0.3b	(/ 1 (/ (+ i (* y (+ c (* y (+ (* (+ a y) y) b))))) (+ (* y (+ 230661.510616 (* y (+ (* y (+ z (* x y))) 27464.7644705)))) t)))
27.2b	(/ (+ i (* y (+ c (* y (+ (* (+ a y) y) b))))) (+ (* y (+ 230661.510616 (* y (+ (* y (+ z (* x y))) 27464.7644705)))) t))

rewrite158.0ms

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-*r/` `insert-posit16` `add-log-exp`
2×	`distribute-rgt-in` `rec-exp` `clear-num` `frac-2neg` `distribute-lft-in` `1-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr` `associate-/l/`
1×	`pow-flip` `inv-pow`

Counts

4 → 163

Calls

4 calls:

24.0ms	(* y (+ z (* x y)))
56.0ms	(* y (+ (* y (+ z (* x y))) 27464.7644705))
35.0ms	(/ 1 (/ (+ i (* y (+ c (* y (+ (* (+ a y) y) b))))) (+ (* y (+ 230661.510616 (* y (+ (* y (+ z (* x y))) 27464.7644705)))) t)))
39.0ms	(/ (+ i (* y (+ c (* y (+ (* (+ a y) y) b))))) (+ (* y (+ 230661.510616 (* y (+ (* y (+ z (* x y))) 27464.7644705)))) t))

series1.7m

Counts

4 → 12

Calls

4 calls:

44.0ms	(* y (+ z (* x y)))
54.0ms	(* y (+ (* y (+ z (* x y))) 27464.7644705))
1.7m	(/ 1 (/ (+ i (* y (+ c (* y (+ (* (+ a y) y) b))))) (+ (* y (+ 230661.510616 (* y (+ (* y (+ z (* x y))) 27464.7644705)))) t)))
741.0ms	(/ (+ i (* y (+ c (* y (+ (* (+ a y) y) b))))) (+ (* y (+ 230661.510616 (* y (+ (* y (+ z (* x y))) 27464.7644705)))) t))

simplify1.8s

Counts

175 → 175

Iterations

Iter	Nodes
2	2735
1	782
0	284

prune3.2s

Pruning

14 alts after pruning (12 fresh and 2 done)

Merged error: 26.6b

localize57.0ms

Local error

Found 4 expressions with local error:

0.1b	(* y (+ (* y (+ z (* x y))) 27464.7644705))
0.3b	(/ 1 (* (+ i (* y (+ c (* y (+ (* (+ a y) y) b))))) (/ 1 (+ (* y (+ 230661.510616 (* y (+ (* y (+ z (* x y))) 27464.7644705)))) t))))
0.5b	(/ 1 (+ (* y (+ 230661.510616 (* y (+ (* y (+ z (* x y))) 27464.7644705)))) t))
26.7b	(* (+ i (* y (+ c (* y (+ (* (+ a y) y) b))))) (/ 1 (+ (* y (+ 230661.510616 (* y (+ (* y (+ z (* x y))) 27464.7644705)))) t)))

rewrite115.0ms

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*`
5×	`cbrt-unprod`
4×	`frac-times` `associate-/r` `associate-l/` `associate-*r/` `insert-posit16` `add-log-exp` `unswap-sqr`
3×	`pow-prod-down` `div-inv` `pow-flip`
2×	`clear-num` `frac-2neg` `un-div-inv` `*-commutative` `inv-pow`
1×	`distribute-rgt-in` `distribute-lft-in`

Counts

4 → 145

Calls

4 calls:

27.0ms	(* y (+ (* y (+ z (* x y))) 27464.7644705))
29.0ms	(/ 1 (* (+ i (* y (+ c (* y (+ (* (+ a y) y) b))))) (/ 1 (+ (* y (+ 230661.510616 (* y (+ (* y (+ z (* x y))) 27464.7644705)))) t))))
18.0ms	(/ 1 (+ (* y (+ 230661.510616 (* y (+ (* y (+ z (* x y))) 27464.7644705)))) t))
39.0ms	(* (+ i (* y (+ c (* y (+ (* (+ a y) y) b))))) (/ 1 (+ (* y (+ 230661.510616 (* y (+ (* y (+ z (* x y))) 27464.7644705)))) t)))

series1.7m

Counts

4 → 12

Calls

4 calls:

53.0ms	(* y (+ (* y (+ z (* x y))) 27464.7644705))
1.7m	(/ 1 (* (+ i (* y (+ c (* y (+ (* (+ a y) y) b))))) (/ 1 (+ (* y (+ 230661.510616 (* y (+ (* y (+ z (* x y))) 27464.7644705)))) t))))
124.0ms	(/ 1 (+ (* y (+ 230661.510616 (* y (+ (* y (+ z (* x y))) 27464.7644705)))) t))
713.0ms	(* (+ i (* y (+ c (* y (+ (* (+ a y) y) b))))) (/ 1 (+ (* y (+ 230661.510616 (* y (+ (* y (+ z (* x y))) 27464.7644705)))) t)))

simplify2.9s

Counts

157 → 157

Iterations

Iter	Nodes
2	2781
1	641
0	224

prune2.7s

Pruning

14 alts after pruning (11 fresh and 3 done)

Merged error: 26.6b

regimes1.7s

Accuracy

0% (0.8b remaining)

Error of 28.3b against oracle of 27.4b and baseline of 28.3b

bsearch0.0ms

simplify9.0ms

Iterations

Iter	Nodes
2	45
1	45
0	29

end0.0ms

sample2.8s

Algorithm

intervals

Results

2.2s

8244×

body

valid