Details

sample107.0ms

Algorithm

intervals

Results

74.0ms

260×

body

valid

simplify1.6s

Counts: 1 → 1

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.2b

localize58.0ms

Local error

Found 4 expressions with local error:

29.1b	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
0.1b	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
0.1b	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
0.1b	(* (+ (* (+ y a) y) b) y)

rewrite285.0ms

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

138.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
62.0ms	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
42.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
41.0ms	(* (+ (* (+ y a) y) b) y)

series677.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

443.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
103.0ms	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
66.0ms	(* (+ (* (+ y a) y) b) y)
65.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)

simplify944.0ms

Counts: 107 → 107

prune2.5s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 28.5b

localize60.0ms

Local error

Found 4 expressions with local error:

29.1b	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))
0.2b	(/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
0.1b	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
0.1b	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)

rewrite529.0ms

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` `insert-posit16` `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 → 119

Calls

4 calls:

Slowest

297.0ms	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))
89.0ms	(/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
89.0ms	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
52.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)

series699.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

454.0ms	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))
115.0ms	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
72.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
57.0ms	(/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify1.4s

Counts: 131 → 131

prune2.8s

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 28.5b

localize85.0ms

Local error

Found 4 expressions with local error:

29.1b	(/ (+ (* (+ (+ (* (* x y) (* y y)) (* (* y y) z)) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
6.2b	(+ (* (* x y) (* y y)) (* (* y y) z))
6.0b	(* (* y y) z)
0.7b	(* (* x y) (* y y))

rewrite441.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-cbrt-cube` `add-exp-log`
21×	`pow1`
14×	`add-sqr-sqrt`
13×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`times-frac`
6×	`add-log-exp`
4×	`associate-r` `insert-posit16`
3×	`associate-/r` `flip3-+` `flip-+` `associate-/l`
2×	`associate-l` `associate-/r/` `*-commutative` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `frac-2neg` `div-exp` `div-inv` `unswap-sqr`

Counts

4 → 87

Calls

4 calls:

Slowest

379.0ms	(/ (+ (* (+ (+ (* (* x y) (* y y)) (* (* y y) z)) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
21.0ms	(* (* x y) (* y y))
21.0ms	(+ (* (* x y) (* y y)) (* (* y y) z))
18.0ms	(* (* y y) z)

series558.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

374.0ms	(/ (+ (* (+ (+ (* (* x y) (* y y)) (* (* y y) z)) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
94.0ms	(+ (* (* x y) (* y y)) (* (* y y) z))
67.0ms	(* (* x y) (* y y))
22.0ms	(* (* y y) z)

simplify813.0ms

Counts: 99 → 99

prune2.1s

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 28.5b

localize122.0ms

Local error

Found 4 expressions with local error:

29.1b	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
29.1b	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
29.1b	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
2.1b	(cbrt (/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))

rewrite516.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 121

Calls

4 calls:

Slowest

164.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
148.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
139.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
63.0ms	(cbrt (/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))

series2.2s

Counts

4 → 12

Calls

4 calls:

Slowest

807.0ms	(cbrt (/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))
475.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
461.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
429.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify2.2s

Counts: 133 → 133

prune3.3s

Pruning

13 alts after pruning (10 fresh and 3 done)

Merged error: 28.5b

regimes1.9s

Accuracy

0% (0.8b remaining)

Error of 28.6b against oracle of 27.8b and baseline of 28.6b

bsearch13.0ms

end0.0ms

sample2.9s

Algorithm

intervals

Results

2.4s

8239×

body

valid