Details

sample84.0ms

Algorithm

intervals

Results

51.0ms

262×

body

valid

simplify1.2s

Counts

1 → 1

Iterations

Iter	Nodes
6	3197
5	1788
4	733
3	264
2	88
1	41
0	26

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 27.8b

localize64.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
0.1b	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
0.1b	(* (+ (* x y) z) y)
27.8b	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite268.0ms

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×	`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 → 91

Calls

4 calls:

62.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
46.0ms	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
26.0ms	(* (+ (* x y) z) y)
131.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series731.0ms

Counts

4 → 12

Calls

4 calls:

78.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
99.0ms	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
59.0ms	(* (+ (* x y) z) y)
494.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify7.5s

Counts

103 → 103

Iterations

Iter	Nodes
3	7854
2	1897
1	520
0	195

prune2.2s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 27.1b

localize66.0ms

Local error

Found 4 expressions with local error:

7.9b	(cbrt (+ (* x y) z))
7.9b	(cbrt (+ (* x y) z))
7.9b	(cbrt (+ (* x y) z))
27.8b	(/ (+ (* (+ (* (+ (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (* (cbrt (+ (* x y) z)) y)) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite402.0ms

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` `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 → 70

Calls

4 calls:

4.0ms	(cbrt (+ (* x y) z))
4.0ms	(cbrt (+ (* x y) z))
4.0ms	(cbrt (+ (* x y) z))
390.0ms	(/ (+ (* (+ (* (+ (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (* (cbrt (+ (* x y) z)) y)) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series973.0ms

Counts

4 → 12

Calls

4 calls:

124.0ms	(cbrt (+ (* x y) z))
151.0ms	(cbrt (+ (* x y) z))
189.0ms	(cbrt (+ (* x y) z))
509.0ms	(/ (+ (* (+ (* (+ (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (* (cbrt (+ (* x y) z)) y)) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify2.1s

Counts

82 → 82

Iterations

Iter	Nodes
3	3959
2	1035
1	356
0	142

prune2.0s

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 27.1b

localize91.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
0.1b	(* (+ (* x y) z) y)
0.2b	(/ 1 (/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)))
27.7b	(/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))

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/` `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 → 155

Calls

4 calls:

54.0ms	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
18.0ms	(* (+ (* x y) z) y)
103.0ms	(/ 1 (/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)))
103.0ms	(/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))

series1.8s

Counts

4 → 12

Calls

4 calls:

88.0ms	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
54.0ms	(* (+ (* x y) z) y)
1.0s	(/ 1 (/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)))
663.0ms	(/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))

simplify1.6s

Counts

167 → 167

Iterations

Iter	Nodes
2	2396
1	731
0	276

prune3.6s

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 27.1b

localize113.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
0.1b	(* (+ (* x y) z) y)
0.3b	(/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
27.5b	(* (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)) (+ t (* y (+ (* y (+ (* (+ (* x y) z) y) 27464.7644705)) 230661.510616))))

rewrite330.0ms

Algorithm

rewrite-expression-head

Rules

35×	`add-sqr-sqrt`
25×	`*-un-lft-identity`
24×	`add-cube-cbrt`
21×	`associate-l` `add-exp-log`
20×	`times-frac`
15×	`add-cbrt-cube`
11×	`pow1`
9×	`associate-r`
6×	`flip3-+` `prod-exp` `flip-+`
5×	`associate-*l/` `unswap-sqr`
4×	`div-exp` `associate-/r/` `cbrt-unprod` `add-log-exp`
3×	`associate-/r` `pow-prod-down` `-commutative` `associate-/l*`
2×	`frac-times` `cbrt-undiv` `rec-exp` `1-exp` `associate-*r/` `div-inv`
1×	`distribute-rgt-in` `clear-num` `frac-2neg` `distribute-lft-in` `pow-flip` `inv-pow`

Counts

4 → 116

Calls

4 calls:

46.0ms	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
20.0ms	(* (+ (* x y) z) y)
81.0ms	(/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
182.0ms	(* (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)) (+ t (* y (+ (* y (+ (* (+ (* x y) z) y) 27464.7644705)) 230661.510616))))

series876.0ms

Counts

4 → 12

Calls

4 calls:

105.0ms	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
62.0ms	(* (+ (* x y) z) y)
82.0ms	(/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
627.0ms	(* (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)) (+ t (* y (+ (* y (+ (* (+ (* x y) z) y) 27464.7644705)) 230661.510616))))

simplify1.4s

Counts

128 → 128

Iterations

Iter	Nodes
2	2748
1	707
0	217

prune2.3s

Pruning

15 alts after pruning (13 fresh and 2 done)

Merged error: 27.1b

regimes2.0s

Accuracy

0% (0.8b remaining)

Error of 28.1b against oracle of 27.3b and baseline of 28.1b

bsearch0.0ms

simplify6.0ms

Iterations

Iter	Nodes
2	45
1	45
0	29

end0.0ms

sample2.9s

Algorithm

intervals

Results

2.1s

8271×

body

valid