Details

sample62.0ms

Algorithm

intervals

Results

35.0ms

263×

body

valid

simplify3.4s

Counts

1 → 1

Iterations

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

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.0b

localize59.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
0.1b	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
0.1b	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
28.0b	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite525.0ms

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:

163.0ms	(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
98.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
80.0ms	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
179.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series847.0ms

Counts

4 → 12

Calls

4 calls:

119.0ms	(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
82.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
111.0ms	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
534.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify2.1s

Counts

107 → 107

Iterations

Iter	Nodes
done	5003
2	1940
1	524
0	200

prune1.2s

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 27.4b

localize133.0ms

Local error

Found 4 expressions with local error:

23.2b	(cbrt (+ (* (+ (* (+ y a) y) b) y) c))
23.2b	(cbrt (+ (* (+ (* (+ y a) y) b) y) c))
23.2b	(cbrt (+ (* (+ (* (+ y a) y) b) y) c))
28.0b	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (* (cbrt (+ (* (+ (* (+ y a) y) b) y) c)) (cbrt (+ (* (+ (* (+ y a) y) b) y) c))) (* (cbrt (+ (* (+ (* (+ y a) y) b) y) c)) y)) i))

rewrite736.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 74

Calls

4 calls:

20.0ms	(cbrt (+ (* (+ (* (+ y a) y) b) y) c))
22.0ms	(cbrt (+ (* (+ (* (+ y a) y) b) y) c))
19.0ms	(cbrt (+ (* (+ (* (+ y a) y) b) y) c))
673.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (* (cbrt (+ (* (+ (* (+ y a) y) b) y) c)) (cbrt (+ (* (+ (* (+ y a) y) b) y) c))) (* (cbrt (+ (* (+ (* (+ y a) y) b) y) c)) y)) i))

series1.0s

Counts

4 → 12

Calls

4 calls:

177.0ms	(cbrt (+ (* (+ (* (+ y a) y) b) y) c))
198.0ms	(cbrt (+ (* (+ (* (+ y a) y) b) y) c))
189.0ms	(cbrt (+ (* (+ (* (+ y a) y) b) y) c))
479.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (* (cbrt (+ (* (+ (* (+ y a) y) b) y) c)) (cbrt (+ (* (+ (* (+ y a) y) b) y) c))) (* (cbrt (+ (* (+ (* (+ y a) y) b) y) c)) y)) i))

simplify2.7s

Counts

86 → 86

Iterations

Iter	Nodes
done	5002
3	4129
2	999
1	313
0	129

prune1.1s

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 27.3b

localize79.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
0.1b	(* y (+ (* (+ (* (+ a y) y) b) y) c))
0.3b	(/ 1 (+ i (* y (+ (* (+ (* (+ a y) y) b) y) c))))
27.7b	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ i (* y (+ (* (+ (* (+ a y) y) b) y) c)))))

rewrite424.0ms

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

Counts

4 → 121

Calls

4 calls:

74.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
91.0ms	(* y (+ (* (+ (* (+ a y) y) b) y) c))
9.0ms	(/ 1 (+ i (* y (+ (* (+ (* (+ a y) y) b) y) c))))
245.0ms	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ i (* y (+ (* (+ (* (+ a y) y) b) y) c)))))

series936.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
94.0ms	(* y (+ (* (+ (* (+ a y) y) b) y) c))
334.0ms	(/ 1 (+ i (* y (+ (* (+ (* (+ a y) y) b) y) c))))
447.0ms	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ i (* y (+ (* (+ (* (+ a y) y) b) y) c)))))

simplify2.6s

Counts

133 → 133

Iterations

Iter	Nodes
done	5000
2	2359
1	626
0	217

prune1.6s

Pruning

14 alts after pruning (12 fresh and 2 done)

Merged error: 27.3b

localize99.0ms

Local error

Found 4 expressions with local error:

16.1b	(cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))
16.1b	(cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))
16.1b	(cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))
23.8b	(* (/ (* (cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)) (cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))) 1) (/ (cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))

rewrite574.0ms

Algorithm

rewrite-expression-head

Rules

43×	`add-sqr-sqrt`
37×	`add-exp-log`
33×	`times-frac`
25×	`*-un-lft-identity`
24×	`associate-r`
22×	`add-cube-cbrt`
21×	`cbrt-prod`
18×	`add-cbrt-cube`
14×	`prod-exp`
13×	`div-exp`
9×	`unswap-sqr`
8×	`cbrt-unprod`
7×	`cbrt-undiv` `associate-l`
6×	`pow1` `cbrt-div`
4×	`flip3-+` `1-exp` `flip-+` `insert-posit16` `add-log-exp`
3×	`pow1/3`
2×	`associate-/r/` `div-inv`
1×	`frac-times` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative`

Counts

4 → 111

Calls

4 calls:

40.0ms	(cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))
50.0ms	(cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))
51.0ms	(cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))
430.0ms	(* (/ (* (cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)) (cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))) 1) (/ (cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))

series1.5s

Counts

4 → 12

Calls

4 calls:

355.0ms	(cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))
309.0ms	(cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))
379.0ms	(cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))
466.0ms	(* (/ (* (cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)) (cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))) 1) (/ (cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))

simplify2.6s

Counts

123 → 123

Iterations

Iter	Nodes
done	5001
2	1819
1	676
0	217

prune1.3s

Pruning

15 alts after pruning (12 fresh and 3 done)

Merged error: 27.3b

regimes2.1s

Accuracy

0% (0.8b remaining)

Error of 29.0b against oracle of 28.2b and baseline of 29.0b

bsearch0.0ms

simplify7.0ms

Iterations

Iter	Nodes
done	46
1	46
0	28

end0.0ms

sample2.4s

Algorithm

intervals

Results

1.9s

8266×

body

valid