Details

sample57.0ms

Algorithm

intervals

Results

32.0ms

263×

body

valid

simplify93.0ms

Counts: 1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.1b

localize28.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
0.1b	(* (+ (* x y) z) y)
0.1b	(* (+ (* (+ y a) y) b) y)
28.4b	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite274.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
18×	`add-cube-cbrt` `*-un-lft-identity`
12×	`add-exp-log` `add-cbrt-cube`
10×	`pow1`
9×	`times-frac` `associate-r` `associate-l`
6×	`associate-*l/`
5×	`flip3-+` `flip-+`
4×	`add-log-exp`
3×	`pow-prod-down` `prod-exp` `associate-/r` `-commutative` `cbrt-unprod` `associate-/l*` `unswap-sqr`
2×	`associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv`

Counts

4 → 91

Calls

4 calls:

71.0ms	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
26.0ms	(* (+ (* x y) z) y)
42.0ms	(* (+ (* (+ y a) y) b) y)
133.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series544.0ms

Counts

4 → 12

Calls

4 calls:

80.0ms	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
38.0ms	(* (+ (* x y) z) y)
41.0ms	(* (+ (* (+ y a) y) b) y)
384.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify61.0ms

Counts: 103 → 103

prune483.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 28.2b

localize30.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* x y) z) y)
0.1b	(* (+ (* (+ y a) y) b) y)
0.4b	(/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
28.2b	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))

rewrite393.0ms

Algorithm

rewrite-expression-head

Rules

35×	`add-sqr-sqrt`
25×	`*-un-lft-identity`
24×	`add-cube-cbrt`
21×	`add-exp-log` `associate-r`
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` `add-log-exp`
3×	`pow-prod-down` `associate-/r` `-commutative` `associate-/l*`
2×	`cbrt-undiv` `frac-times` `rec-exp` `1-exp` `div-inv`
1×	`pow-flip` `frac-2neg` `associate-*r/` `clear-num` `un-div-inv` `inv-pow`

Counts

4 → 115

Calls

4 calls:

27.0ms	(* (+ (* x y) z) y)
40.0ms	(* (+ (* (+ y a) y) b) y)
59.0ms	(/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
263.0ms	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))

series526.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(* (+ (* x y) z) y)
38.0ms	(* (+ (* (+ y a) y) b) y)
65.0ms	(/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
384.0ms	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))

simplify71.0ms

Counts: 127 → 127

prune484.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 28.2b

localize29.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* x y) z) y)
0.1b	(* (+ (* (+ y a) y) b) y)
0.4b	(/ 1 (/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)))
28.6b	(/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))

rewrite598.0ms

Algorithm

rewrite-expression-head

Rules

90×	`times-frac`
64×	`add-sqr-sqrt`
60×	`add-cube-cbrt` `*-un-lft-identity`
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/` `add-log-exp`
2×	`rec-exp` `frac-2neg` `1-exp` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `associate-/l/` `unswap-sqr`
1×	`pow-flip` `inv-pow`

Counts

4 → 155

Calls

4 calls:

28.0ms	(* (+ (* x y) z) y)
45.0ms	(* (+ (* (+ y a) y) b) y)
113.0ms	(/ 1 (/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)))
406.0ms	(/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))

series1.1s

Counts

4 → 12

Calls

4 calls:

44.0ms	(* (+ (* x y) z) y)
39.0ms	(* (+ (* (+ y a) y) b) y)
482.0ms	(/ 1 (/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)))
559.0ms	(/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))

simplify89.0ms

Counts: 167 → 167

prune610.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 28.2b

localize50.0ms

Local error

Found 4 expressions with local error:

20.0b	(cbrt (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))
20.0b	(cbrt (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))
20.0b	(cbrt (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))
28.2b	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (* (* (cbrt (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))) (cbrt (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))) (cbrt (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))))

rewrite1.1s

Algorithm

rewrite-expression-head

Rules

45×	`cbrt-prod`
39×	`cbrt-div`
29×	`frac-times`
27×	`times-frac`
26×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
17×	`associate-*l/`
16×	`associate-*r/`
13×	`pow1` `add-exp-log`
11×	`flip3-+` `flip-+`
9×	`add-cbrt-cube`
6×	`pow-prod-down` `prod-exp` `associate-/r/` `cbrt-unprod`
4×	`add-log-exp`
3×	`pow1/3` `associate-l` `div-inv`
1×	`associate-r` `*-commutative`

Counts

4 → 116

Calls

4 calls:

30.0ms	(cbrt (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))
29.0ms	(cbrt (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))
30.0ms	(cbrt (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))
1.0s	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (* (* (cbrt (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))) (cbrt (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))) (cbrt (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))))

series874.0ms

Counts

4 → 12

Calls

4 calls:

160.0ms	(cbrt (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))
164.0ms	(cbrt (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))
161.0ms	(cbrt (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))
388.0ms	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (* (* (cbrt (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))) (cbrt (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))) (cbrt (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))))

simplify64.0ms

Counts: 128 → 128

prune620.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 28.2b

regimes539.0ms

Accuracy

0% (1.1b remaining)

Error of 29.4b against oracle of 28.3b and baseline of 29.4b

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.9s

Algorithm

intervals

Results

1.4s

8260×

body

valid