Details

sample88.0ms

Algorithm

intervals

Results

60.0ms

266×

body

valid

simplify1.4s

Counts: 1 → 1

prune20.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.0b

localize71.0ms

Local error

Found 4 expressions with local error:

30.0b	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
0.1b	(* (+ (* x y) z) y)
0.1b	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
0.1b	(* (+ (* (+ (* (+ y a) y) b) y) c) y)

rewrite280.0ms

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:

Slowest

115.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
84.0ms	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
58.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
22.0ms	(* (+ (* x y) z) y)

series646.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

398.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
126.0ms	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
80.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
42.0ms	(* (+ (* x y) z) y)

simplify867.0ms

Counts: 107 → 107

prune2.2s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 29.2b

localize93.0ms

Local error

Found 4 expressions with local error:

30.0b	(/ (+ (* (+ (* (* (cbrt (+ (* (+ (* x y) z) y) 27464.7644705)) (cbrt (+ (* (+ (* x y) z) y) 27464.7644705))) (* (cbrt (+ (* (+ (* x y) z) y) 27464.7644705)) y)) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
22.7b	(cbrt (+ (* (+ (* x y) z) y) 27464.7644705))
22.7b	(cbrt (+ (* (+ (* x y) z) y) 27464.7644705))
22.7b	(cbrt (+ (* (+ (* x y) z) y) 27464.7644705))

rewrite1.0s

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:

Slowest

1.0s	(/ (+ (* (+ (* (* (cbrt (+ (* (+ (* x y) z) y) 27464.7644705)) (cbrt (+ (* (+ (* x y) z) y) 27464.7644705))) (* (cbrt (+ (* (+ (* x y) z) y) 27464.7644705)) y)) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
17.0ms	(cbrt (+ (* (+ (* x y) z) y) 27464.7644705))
12.0ms	(cbrt (+ (* (+ (* x y) z) y) 27464.7644705))
10.0ms	(cbrt (+ (* (+ (* x y) z) y) 27464.7644705))

series1.2s

Counts

4 → 12

Calls

4 calls:

Slowest

482.0ms	(/ (+ (* (+ (* (* (cbrt (+ (* (+ (* x y) z) y) 27464.7644705)) (cbrt (+ (* (+ (* x y) z) y) 27464.7644705))) (* (cbrt (+ (* (+ (* x y) z) y) 27464.7644705)) y)) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
273.0ms	(cbrt (+ (* (+ (* x y) z) y) 27464.7644705))
260.0ms	(cbrt (+ (* (+ (* x y) z) y) 27464.7644705))
222.0ms	(cbrt (+ (* (+ (* x y) z) y) 27464.7644705))

simplify2.4s

Counts: 86 → 86

prune2.2s

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 29.2b

localize88.0ms

Local error

Found 4 expressions with local error:

30.0b	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))
0.1b	(* (+ (* x y) z) y)
0.1b	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
0.1b	(* (+ (* (+ (* (+ y a) y) b) y) c) y)

rewrite527.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-sqr-sqrt`
24×	`associate-r`
19×	`*-un-lft-identity` `add-exp-log`
18×	`add-cube-cbrt`
15×	`add-cbrt-cube`
12×	`pow1` `associate-l`
11×	`times-frac`
8×	`associate-*l/`
7×	`prod-exp`
6×	`flip3-+` `flip-+` `unswap-sqr`
5×	`cbrt-unprod`
4×	`pow-prod-down` `*-commutative` `insert-posit16` `add-log-exp`
2×	`frac-times` `div-exp` `associate-/r/`
1×	`cbrt-undiv` `rec-exp` `1-exp` `associate-*r/` `un-div-inv` `div-inv`

Counts

4 → 106

Calls

4 calls:

Slowest

333.0ms	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))
80.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
68.0ms	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
43.0ms	(* (+ (* x y) z) y)

series744.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

471.0ms	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))
117.0ms	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
92.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
64.0ms	(* (+ (* x y) z) y)

simplify1.8s

Counts: 118 → 118

prune2.6s

Pruning

15 alts after pruning (13 fresh and 2 done)

Merged error: 29.2b

localize87.0ms

Local error

Found 4 expressions with local error:

30.0b	(/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))
0.3b	(/ 1 (/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)))
0.1b	(* (+ (* x y) z) y)
0.1b	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)

rewrite282.0ms

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:

Slowest

111.0ms	(/ 1 (/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)))
109.0ms	(/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))
40.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
20.0ms	(* (+ (* x y) z) y)

series1.3s

Counts

4 → 12

Calls

4 calls:

Slowest

613.0ms	(/ 1 (/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)))
584.0ms	(/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))
58.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
54.0ms	(* (+ (* x y) z) y)

simplify1.5s

Counts: 171 → 171

prune3.5s

Pruning

15 alts after pruning (12 fresh and 3 done)

Merged error: 29.2b

regimes2.0s

Accuracy

0% (0.9b remaining)

Error of 28.4b against oracle of 27.6b and baseline of 28.4b

bsearch12.0ms

end0.0ms

sample3.1s

Algorithm

intervals

Results

2.1s

8252×

body

valid