Details

sample92.0ms

Algorithm

intervals

Results

43.0ms

259×

body

valid

simplify2.0s

Counts

1 → 1

Iterations

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

prune32.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 33.3b

localize80.0ms

Local error

Found 4 expressions with local error:

0.1b	(* y (+ (* (+ y a) y) b))
0.1b	(* y (+ z (* x y)))
0.1b	(* (+ (* y (+ z (* x y))) 27464.7644705) y)
32.5b	(/ (+ (* y (+ (* (+ (* y (+ z (* x y))) 27464.7644705) y) 230661.510616)) t) (+ i (* y (+ (* y (+ (* (+ y a) y) b)) c))))

rewrite191.0ms

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`
5×	`flip3-+` `flip-+`
4×	`associate-*r/` `add-log-exp`
3×	`associate-/r` `pow-prod-down` `prod-exp` `-commutative` `cbrt-unprod` `associate-/l*` `unswap-sqr`
2×	`distribute-rgt-in` `distribute-lft-in` `associate-*l/` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `div-inv`

Counts

4 → 95

Calls

4 calls:

30.0ms	(* y (+ (* (+ y a) y) b))
23.0ms	(* y (+ z (* x y)))
52.0ms	(* (+ (* y (+ z (* x y))) 27464.7644705) y)
82.0ms	(/ (+ (* y (+ (* (+ (* y (+ z (* x y))) 27464.7644705) y) 230661.510616)) t) (+ i (* y (+ (* y (+ (* (+ y a) y) b)) c))))

series607.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(* y (+ (* (+ y a) y) b))
65.0ms	(* y (+ z (* x y)))
98.0ms	(* (+ (* y (+ z (* x y))) 27464.7644705) y)
378.0ms	(/ (+ (* y (+ (* (+ (* y (+ z (* x y))) 27464.7644705) y) 230661.510616)) t) (+ i (* y (+ (* y (+ (* (+ y a) y) b)) c))))

simplify2.1s

Counts

107 → 107

Iterations

Iter	Nodes
done	5001
2	3352
1	613
0	201

prune1.4s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 32.2b

localize82.0ms

Local error

Found 4 expressions with local error:

0.1b	(* y (+ z (* x y)))
0.1b	(* (+ (* y (+ z (* x y))) 27464.7644705) y)
0.4b	(/ 1 (+ (* y (+ c (* y (+ b (* (+ a y) y))))) i))
32.6b	(* (+ (* y (+ (* (+ (* y (+ z (* x y))) 27464.7644705) y) 230661.510616)) t) (/ 1 (+ (* y (+ c (* y (+ b (* (+ a y) y))))) i)))

rewrite232.0ms

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-+` `prod-exp` `flip-+`
5×	`unswap-sqr`
4×	`div-exp` `associate-*l/` `associate-/r/` `cbrt-unprod` `add-log-exp`
3×	`associate-/r` `pow-prod-down` `associate-r/` `-commutative` `associate-/l`
2×	`frac-times` `cbrt-undiv` `rec-exp` `1-exp` `div-inv`
1×	`distribute-rgt-in` `clear-num` `frac-2neg` `distribute-lft-in` `un-div-inv` `pow-flip` `inv-pow`

Counts

4 → 117

Calls

4 calls:

13.0ms	(* y (+ z (* x y)))
42.0ms	(* (+ (* y (+ z (* x y))) 27464.7644705) y)
17.0ms	(/ 1 (+ (* y (+ c (* y (+ b (* (+ a y) y))))) i))
157.0ms	(* (+ (* y (+ (* (+ (* y (+ z (* x y))) 27464.7644705) y) 230661.510616)) t) (/ 1 (+ (* y (+ c (* y (+ b (* (+ a y) y))))) i)))

series575.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(* y (+ z (* x y)))
80.0ms	(* (+ (* y (+ z (* x y))) 27464.7644705) y)
94.0ms	(/ 1 (+ (* y (+ c (* y (+ b (* (+ a y) y))))) i))
339.0ms	(* (+ (* y (+ (* (+ (* y (+ z (* x y))) 27464.7644705) y) 230661.510616)) t) (/ 1 (+ (* y (+ c (* y (+ b (* (+ a y) y))))) i)))

simplify3.3s

Counts

129 → 129

Iterations

Iter	Nodes
done	5001
2	4884
1	641
0	210

prune1.4s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 32.2b

localize86.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)
32.5b	(/ (+ (* y (+ (* (+ (* y (+ z (* x y))) 27464.7644705) y) 230661.510616)) t) (+ i (* y (+ (* (* (cbrt y) (cbrt y)) (* (+ b (* (+ a y) y)) (cbrt y))) c))))

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 64

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)
64.0ms	(/ (+ (* y (+ (* (+ (* y (+ z (* x y))) 27464.7644705) y) 230661.510616)) t) (+ i (* y (+ (* (* (cbrt y) (cbrt y)) (* (+ b (* (+ a y) y)) (cbrt y))) c))))

series1.4s

Counts

4 → 12

Calls

4 calls:

287.0ms	(cbrt y)
288.0ms	(cbrt y)
243.0ms	(cbrt y)
561.0ms	(/ (+ (* y (+ (* (+ (* y (+ z (* x y))) 27464.7644705) y) 230661.510616)) t) (+ i (* y (+ (* (* (cbrt y) (cbrt y)) (* (+ b (* (+ a y) y)) (cbrt y))) c))))

simplify681.0ms

Counts

76 → 76

Iterations

Iter	Nodes
done	5001
2	1194
1	285
0	113

prune932.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 32.2b

localize121.0ms

Local error

Found 4 expressions with local error:

24.2b	(cbrt (* (+ (* y (+ z (* y x))) 27464.7644705) y))
24.2b	(cbrt (* (+ (* y (+ z (* y x))) 27464.7644705) y))
24.2b	(cbrt (* (+ (* y (+ z (* y x))) 27464.7644705) y))
32.5b	(/ (+ (* y (+ (* (* (cbrt (* (+ (* y (+ z (* y x))) 27464.7644705) y)) (cbrt (* (+ (* y (+ z (* y x))) 27464.7644705) y))) (cbrt (* (+ (* y (+ z (* y x))) 27464.7644705) y))) 230661.510616)) t) (+ i (* y (+ (* y (+ (* (+ y a) y) b)) c))))

rewrite268.0ms

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` `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 → 64

Calls

4 calls:

17.0ms	(cbrt (* (+ (* y (+ z (* y x))) 27464.7644705) y))
11.0ms	(cbrt (* (+ (* y (+ z (* y x))) 27464.7644705) y))
11.0ms	(cbrt (* (+ (* y (+ z (* y x))) 27464.7644705) y))
227.0ms	(/ (+ (* y (+ (* (* (cbrt (* (+ (* y (+ z (* y x))) 27464.7644705) y)) (cbrt (* (+ (* y (+ z (* y x))) 27464.7644705) y))) (cbrt (* (+ (* y (+ z (* y x))) 27464.7644705) y))) 230661.510616)) t) (+ i (* y (+ (* y (+ (* (+ y a) y) b)) c))))

series1.6s

Counts

4 → 12

Calls

4 calls:

343.0ms	(cbrt (* (+ (* y (+ z (* y x))) 27464.7644705) y))
328.0ms	(cbrt (* (+ (* y (+ z (* y x))) 27464.7644705) y))
346.0ms	(cbrt (* (+ (* y (+ z (* y x))) 27464.7644705) y))
592.0ms	(/ (+ (* y (+ (* (* (cbrt (* (+ (* y (+ z (* y x))) 27464.7644705) y)) (cbrt (* (+ (* y (+ z (* y x))) 27464.7644705) y))) (cbrt (* (+ (* y (+ z (* y x))) 27464.7644705) y))) 230661.510616)) t) (+ i (* y (+ (* y (+ (* (+ y a) y) b)) c))))

simplify677.0ms

Counts

76 → 76

Iterations

Iter	Nodes
done	5001
2	1436
1	384
0	149

prune1.5s

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 32.2b

regimes1.9s

Accuracy

0% (1.1b remaining)

Error of 29.2b against oracle of 28.0b and baseline of 29.2b

bsearch0.0ms

simplify7.0ms

Iterations

Iter	Nodes
done	45
1	45
0	29

end0.0ms

sample2.5s

Algorithm

intervals

Results

1.6s

8248×

body

valid