Details

sample99.0ms

Algorithm

intervals

Results

51.0ms

267×

body

valid

simplify2.2s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
5	2858
4	824
3	264
2	88
1	41
0	26

prune17.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.4b

localize82.0ms

Local error

Found 4 expressions with local error:

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

rewrite291.0ms

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:

31.0ms	(* (+ (* x y) z) y)
32.0ms	(* (+ (* (+ y a) y) b) y)
66.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
158.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series801.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(* (+ (* x y) z) y)
64.0ms	(* (+ (* (+ y a) y) b) y)
104.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
563.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify1.5s

Counts

103 → 103

Iterations

Iter	Nodes
done	5000
2	2861
1	526
0	194

prune1.3s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 26.9b

localize84.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
3.0b	(* (* y y) (+ a y))
3.4b	(+ (* y b) (* (* y y) (+ a y)))
27.7b	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (+ (* y b) (* (* y y) (+ a y))) c) y) i))

rewrite239.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 88

Calls

4 calls:

68.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
25.0ms	(* (* y y) (+ a y))
12.0ms	(+ (* y b) (* (* y y) (+ a y)))
131.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (+ (* y b) (* (* y y) (+ a y))) c) y) i))

series697.0ms

Counts

4 → 12

Calls

4 calls:

86.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
48.0ms	(* (* y y) (+ a y))
68.0ms	(+ (* y b) (* (* y y) (+ a y)))
494.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (+ (* y b) (* (* y y) (+ a y))) c) y) i))

simplify2.7s

Counts

100 → 100

Iterations

Iter	Nodes
done	5001
2	3830
1	565
0	191

prune1.2s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 26.9b

localize146.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (* (* (* (cbrt (+ a y)) y) y) (cbrt (+ a y))) (cbrt (+ a y)))
1.6b	(* (* (* (cbrt (+ a y)) y) y) (cbrt (+ a y)))
3.4b	(+ (* y b) (* (* (* (* (cbrt (+ a y)) y) y) (cbrt (+ a y))) (cbrt (+ a y))))
27.7b	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (+ (* y b) (* (* (* (* (cbrt (+ a y)) y) y) (cbrt (+ a y))) (cbrt (+ a y)))) c) y) i))

rewrite842.0ms

Algorithm

rewrite-expression-head

Rules

66×	`cbrt-div`
64×	`associate-*l/`
36×	`flip3-+` `flip-+`
32×	`frac-times`
29×	`add-exp-log`
27×	`pow1`
20×	`*-un-lft-identity`
17×	`add-cbrt-cube`
16×	`add-sqr-sqrt` `pow-prod-down` `prod-exp` `add-cube-cbrt` `cbrt-unprod`
14×	`associate-r`
10×	`associate-*r/`
9×	`times-frac`
8×	`cbrt-prod`
6×	`add-log-exp`
3×	`associate-/r` `associate-/l`
2×	`associate-l` `associate-/r/` `*-commutative` `distribute-lft-out` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `frac-2neg` `div-exp` `div-inv`

Counts

4 → 129

Calls

4 calls:

524.0ms	(* (* (* (* (cbrt (+ a y)) y) y) (cbrt (+ a y))) (cbrt (+ a y)))
151.0ms	(* (* (* (cbrt (+ a y)) y) y) (cbrt (+ a y)))
14.0ms	(+ (* y b) (* (* (* (* (cbrt (+ a y)) y) y) (cbrt (+ a y))) (cbrt (+ a y))))
147.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (+ (* y b) (* (* (* (* (cbrt (+ a y)) y) y) (cbrt (+ a y))) (cbrt (+ a y)))) c) y) i))

series1.3s

Counts

4 → 12

Calls

4 calls:

104.0ms	(* (* (* (* (cbrt (+ a y)) y) y) (cbrt (+ a y))) (cbrt (+ a y)))
342.0ms	(* (* (* (cbrt (+ a y)) y) y) (cbrt (+ a y)))
107.0ms	(+ (* y b) (* (* (* (* (cbrt (+ a y)) y) y) (cbrt (+ a y))) (cbrt (+ a y))))
717.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (+ (* y b) (* (* (* (* (cbrt (+ a y)) y) y) (cbrt (+ a y))) (cbrt (+ a y)))) c) y) i))

simplify3.3s

Counts

141 → 141

Iterations

Iter	Nodes
done	5000
2	4763
1	752
0	255

prune1.5s

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 26.9b

localize76.0ms

Local error

Found 4 expressions with local error:

0.1b	(* y (+ b (* (+ a y) y)))
0.1b	(* y (+ (* y (+ (* x y) z)) 27464.7644705))
0.7b	(/ 1 (/ (+ i (* y (+ (* y (+ b (* (+ a y) y))) c))) (+ t (* (+ (* y (+ (* y (+ (* x y) z)) 27464.7644705)) 230661.510616) y))))
27.8b	(/ (+ i (* y (+ (* y (+ b (* (+ a y) y))) c))) (+ t (* (+ (* y (+ (* y (+ (* x y) z)) 27464.7644705)) 230661.510616) y)))

rewrite183.0ms

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-*r/` `add-log-exp`
2×	`distribute-rgt-in` `rec-exp` `clear-num` `frac-2neg` `distribute-lft-in` `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:

24.0ms	(* y (+ b (* (+ a y) y)))
75.0ms	(* y (+ (* y (+ (* x y) z)) 27464.7644705))
20.0ms	(/ 1 (/ (+ i (* y (+ (* y (+ b (* (+ a y) y))) c))) (+ t (* (+ (* y (+ (* y (+ (* x y) z)) 27464.7644705)) 230661.510616) y))))
54.0ms	(/ (+ i (* y (+ (* y (+ b (* (+ a y) y))) c))) (+ t (* (+ (* y (+ (* y (+ (* x y) z)) 27464.7644705)) 230661.510616) y)))

series1.9m

Counts

4 → 12

Calls

4 calls:

53.0ms	(* y (+ b (* (+ a y) y)))
105.0ms	(* y (+ (* y (+ (* x y) z)) 27464.7644705))
1.9m	(/ 1 (/ (+ i (* y (+ (* y (+ b (* (+ a y) y))) c))) (+ t (* (+ (* y (+ (* y (+ (* x y) z)) 27464.7644705)) 230661.510616) y))))
889.0ms	(/ (+ i (* y (+ (* y (+ b (* (+ a y) y))) c))) (+ t (* (+ (* y (+ (* y (+ (* x y) z)) 27464.7644705)) 230661.510616) y)))

simplify554.0ms

Counts

171 → 171

Iterations

Iter	Nodes
done	5000
1	829
0	281

prune1.6s

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 26.9b

regimes1.7s

Accuracy

0% (1.1b remaining)

Error of 29.3b against oracle of 28.2b and baseline of 29.3b

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	42
1	42
0	27

end0.0ms

sample2.6s

Algorithm

intervals

Results

2.0s

8259×

body

valid