Details

sample80.0ms

Algorithm

intervals

Results

55.0ms

263×

body

valid

simplify1.9s

Counts: 1 → 1

prune24.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 27.5b

localize78.0ms

Local error

Found 4 expressions with local error:

27.5b	(/ (+ (* (+ (* (+ (* (+ (* 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	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
0.1b	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)

rewrite387.0ms

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

201.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
102.0ms	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
42.0ms	(* (+ (* x y) z) y)
40.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)

series722.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

460.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
113.0ms	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
99.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
49.0ms	(* (+ (* x y) z) y)

simplify1.2s

Counts: 107 → 107

prune2.4s

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 26.8b

localize123.0ms

Local error

Found 4 expressions with local error:

27.5b	(/ (+ (* (+ (* (* (cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y)) (cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))) (cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
20.7b	(cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))
20.7b	(cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))
20.7b	(cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))

rewrite536.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 68

Calls

4 calls:

Slowest

476.0ms	(/ (+ (* (+ (* (* (cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y)) (cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))) (cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
25.0ms	(cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))
17.0ms	(cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))
16.0ms	(cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))

series1.4s

Counts

4 → 12

Calls

4 calls:

Slowest

591.0ms	(/ (+ (* (+ (* (* (cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y)) (cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))) (cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
299.0ms	(cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))
247.0ms	(cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))
241.0ms	(cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))

simplify2.7s

Counts: 80 → 80

prune2.1s

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 26.8b

localize90.0ms

Local error

Found 4 expressions with local error:

27.5b	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))
0.1b	(/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
0.1b	(* (+ (* x y) z) y)
0.1b	(* (+ (* (+ (* (+ y a) y) b) y) c) y)

rewrite552.0ms

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

327.0ms	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))
94.0ms	(/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
88.0ms	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
42.0ms	(* (+ (* x y) z) y)

series721.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

459.0ms	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))
127.0ms	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
70.0ms	(/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
64.0ms	(* (+ (* x y) z) y)

simplify1.2s

Counts: 131 → 131

prune2.8s

Pruning

14 alts after pruning (12 fresh and 2 done)

Merged error: 26.8b

localize223.0ms

Local error

Found 4 expressions with local error:

27.5b	(/ (+ (* (+ (* (* (cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y)) (cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))) (cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
27.5b	(/ (+ (* (+ (* (* (cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y)) (cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))) (cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
27.5b	(/ (+ (* (+ (* (* (cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y)) (cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))) (cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
20.7b	(cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))

rewrite1.3s

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 108

Calls

4 calls:

Slowest

453.0ms	(/ (+ (* (+ (* (* (cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y)) (cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))) (cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
444.0ms	(/ (+ (* (+ (* (* (cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y)) (cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))) (cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
436.0ms	(/ (+ (* (+ (* (* (cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y)) (cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))) (cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
15.0ms	(cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))

series2.2s

Counts

4 → 12

Calls

4 calls:

Slowest

686.0ms	(/ (+ (* (+ (* (* (cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y)) (cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))) (cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
630.0ms	(/ (+ (* (+ (* (* (cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y)) (cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))) (cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
601.0ms	(/ (+ (* (+ (* (* (cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y)) (cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))) (cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
309.0ms	(cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))

simplify2.7s

Counts: 120 → 120

prune3.3s

Pruning

14 alts after pruning (11 fresh and 3 done)

Merged error: 26.8b

regimes2.3s

Accuracy

0% (0.9b remaining)

Error of 29.1b against oracle of 28.2b and baseline of 29.1b

bsearch6.0ms

end0.0ms

sample2.6s

Algorithm

intervals

Results

2.0s

8237×

body

valid