Details

sample42.0ms

Algorithm

intervals

Results

23.0ms

259×

body

valid

simplify2.8s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
7	4646
6	3199
5	1788
4	733
3	264
2	88
1	41
0	26

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.8b

localize79.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
0.1b	(* (+ (* x y) z) y)
0.1b	(* (+ (* (+ y a) y) b) y)
30.8b	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite321.0ms

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:

71.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
26.0ms	(* (+ (* x y) z) y)
45.0ms	(* (+ (* (+ y a) y) b) y)
175.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series610.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
38.0ms	(* (+ (* x y) z) y)
38.0ms	(* (+ (* (+ y a) y) b) y)
466.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify1.7s

Counts

107 → 107

Iterations

Iter	Nodes
done	5005
2	1955
1	529
0	198

prune1.1s

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 30.1b

localize106.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* x y) z) y)
0.1b	(* (+ (* (+ y a) y) b) y)
0.3b	(/ 1 (/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)))
30.9b	(/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))

rewrite455.0ms

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:

34.0ms	(* (+ (* x y) z) y)
53.0ms	(* (+ (* (+ y a) y) b) y)
161.0ms	(/ 1 (/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)))
198.0ms	(/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))

series1.5s

Counts

4 → 12

Calls

4 calls:

43.0ms	(* (+ (* x y) z) y)
41.0ms	(* (+ (* (+ y a) y) b) y)
638.0ms	(/ 1 (/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)))
730.0ms	(/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))

simplify2.7s

Counts

171 → 171

Iterations

Iter	Nodes
done	5005
2	2616
1	747
0	279

prune1.7s

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 30.1b

localize116.0ms

Local error

Found 4 expressions with local error:

20.2b	(cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))
20.2b	(cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))
20.2b	(cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))
26.5b	(/ (* (cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)) (cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))) (/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))))

rewrite518.0ms

Algorithm

rewrite-expression-head

Rules

60×	`times-frac`
33×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
27×	`cbrt-prod`
24×	`associate-/r*`
22×	`cbrt-div`
16×	`add-exp-log`
11×	`flip3-+` `flip-+`
10×	`add-cbrt-cube`
8×	`associate-/l/`
6×	`cbrt-undiv` `div-exp`
5×	`associate-/r/`
4×	`frac-times` `pow1` `insert-posit16` `add-log-exp`
3×	`pow1/3` `div-inv`
2×	`associate-l/` `prod-exp` `associate-r/` `cbrt-unprod`
1×	`clear-num` `frac-2neg` `associate-/l*`

Counts

4 → 119

Calls

4 calls:

62.0ms	(cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))
52.0ms	(cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))
39.0ms	(cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))
357.0ms	(/ (* (cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)) (cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))) (/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))))

series1.4s

Counts

4 → 12

Calls

4 calls:

312.0ms	(cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))
350.0ms	(cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))
286.0ms	(cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))
432.0ms	(/ (* (cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)) (cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))) (/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))))

simplify3.4s

Counts

131 → 131

Iterations

Iter	Nodes
done	5001
2	1889
1	628
0	230

prune2.1s

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 30.1b

localize102.0ms

Local error

Found 4 expressions with local error:

20.6b	(cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
20.6b	(cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
20.6b	(cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
25.9b	(/ (* (cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)) (cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))) (/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))))

rewrite377.0ms

Algorithm

rewrite-expression-head

Rules

60×	`times-frac`
33×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
27×	`cbrt-prod`
24×	`associate-/r*`
22×	`cbrt-div`
16×	`add-exp-log`
11×	`flip3-+` `flip-+`
10×	`add-cbrt-cube`
8×	`associate-/l/`
6×	`cbrt-undiv` `div-exp`
5×	`associate-/r/`
4×	`frac-times` `pow1` `insert-posit16` `add-log-exp`
3×	`pow1/3` `div-inv`
2×	`associate-l/` `prod-exp` `associate-r/` `cbrt-unprod`
1×	`clear-num` `frac-2neg` `associate-/l*`

Counts

4 → 119

Calls

4 calls:

41.0ms	(cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
28.0ms	(cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
28.0ms	(cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
278.0ms	(/ (* (cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)) (cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))) (/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))))

series1.2s

Counts

4 → 12

Calls

4 calls:

191.0ms	(cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
174.0ms	(cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
163.0ms	(cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
720.0ms	(/ (* (cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)) (cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))) (/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))))

simplify3.1s

Counts

131 → 131

Iterations

Iter	Nodes
done	5000
2	1719
1	572
0	207

prune1.6s

Pruning

12 alts after pruning (9 fresh and 3 done)

Merged error: 30.1b

regimes1.8s

Accuracy

0% (0.7b remaining)

Error of 28.0b against oracle of 27.3b and baseline of 28.0b

bsearch0.0ms

simplify11.0ms

Iterations

Iter	Nodes
done	41
1	41
0	26

end0.0ms

sample2.5s

Algorithm

intervals

Results

2.0s

8235×

body

valid