Details

sample75.0ms

Algorithm

intervals

Results

43.0ms

263×

body

valid

simplify2.5s

Counts

1 → 1

Iterations

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

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.2b

localize78.0ms

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

rewrite367.0ms

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:

92.0ms	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
36.0ms	(* (+ (* x y) z) y)
79.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
154.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series773.0ms

Counts

4 → 12

Calls

4 calls:

87.0ms	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
68.0ms	(* (+ (* x y) z) y)
83.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
535.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify2.6s

Counts

103 → 103

Iterations

Iter	Nodes
done	5000
2	2795
1	522
0	195

prune1.3s

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 26.9b

localize127.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* x y) z) y)
0.1b	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
0.3b	(/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
27.6b	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))

rewrite539.0ms

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:

42.0ms	(* (+ (* x y) z) y)
79.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
70.0ms	(/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
342.0ms	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))

series725.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(* (+ (* x y) z) y)
64.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
104.0ms	(/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
497.0ms	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))

simplify4.8s

Counts

127 → 127

Iterations

Iter	Nodes
done	5000
2	4426
1	578
0	206

prune1.6s

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 26.9b

localize128.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)
27.5b	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (* (+ (* (+ (* (+ y a) y) b) y) c) (* (cbrt y) (cbrt y))) (cbrt y)) i))

rewrite360.0ms

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` `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 → 64

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)
353.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (* (+ (* (+ (* (+ y a) y) b) y) c) (* (cbrt y) (cbrt y))) (cbrt y)) i))

series1.6s

Counts

4 → 12

Calls

4 calls:

259.0ms	(cbrt y)
260.0ms	(cbrt y)
300.0ms	(cbrt y)
786.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (* (+ (* (+ (* (+ y a) y) b) y) c) (* (cbrt y) (cbrt y))) (cbrt y)) i))

simplify1.9s

Counts

76 → 76

Iterations

Iter	Nodes
done	5001
2	1099
1	268
0	113

prune1.1s

Pruning

14 alts after pruning (12 fresh and 2 done)

Merged error: 26.9b

localize222.0ms

Local error

Found 4 expressions with local error:

17.0b	(cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
17.0b	(cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
17.0b	(cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
24.9b	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (* (cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)) (cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))))

rewrite346.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 70

Calls

4 calls:

42.0ms	(cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
45.0ms	(cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
44.0ms	(cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
211.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (* (cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)) (cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))))

series1.5s

Counts

4 → 12

Calls

4 calls:

204.0ms	(cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
215.0ms	(cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
204.0ms	(cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
902.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (* (cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)) (cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))))

simplify2.3s

Counts

82 → 82

Iterations

Iter	Nodes
done	5000
2	1190
1	338
0	138

prune1.2s

Pruning

15 alts after pruning (12 fresh and 3 done)

Merged error: 26.6b

regimes2.6s

Accuracy

51.5% (0.8b remaining)

Error of 28.1b against oracle of 27.3b and baseline of 29.0b

bsearch4.0ms

simplify6.0ms

Iterations

Iter	Nodes
done	45
1	45
0	30

end0.0ms

sample2.4s

Algorithm

intervals

Results

1.9s

8234×

body

valid