Details

sample59.0ms

Algorithm

intervals

Results

26.0ms

264×

body

valid

simplify2.3s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	33
1	41	33
2	88	33
3	264	33
4	824	33
5	2916	33
done	5001	33

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 26.2b

localize47.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* (+ y a) y) b) y)
0.1b	(* (+ (* x y) z) y)
0.1b	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
25.6b	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite264.0ms

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:

47.0ms	(* (+ (* (+ y a) y) b) y)
30.0ms	(* (+ (* x y) z) y)
52.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
132.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series635.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(* (+ (* (+ y a) y) b) y)
37.0ms	(* (+ (* x y) z) y)
78.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
478.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify1.7s

Counts

103 → 103

Iterations

Useful iterations: 2 (449.0ms)

Iter	Nodes	Cost
0	193	2457
1	526	2417
2	2843	2195
done	5002	2195

prune1.1s

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 25.0b

localize90.0ms

Local error

Found 4 expressions with local error:

18.0b	(cbrt (+ (* (+ (* x y) z) y) 27464.7644705))
18.0b	(cbrt (+ (* (+ (* x y) z) y) 27464.7644705))
18.0b	(cbrt (+ (* (+ (* x y) z) y) 27464.7644705))
25.6b	(/ (+ (* (+ (* (* (cbrt (+ (* (+ (* x y) z) y) 27464.7644705)) (cbrt (+ (* (+ (* x y) z) y) 27464.7644705))) (* (cbrt (+ (* (+ (* x y) z) y) 27464.7644705)) y)) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite804.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 70

Calls

4 calls:

12.0ms	(cbrt (+ (* (+ (* x y) z) y) 27464.7644705))
12.0ms	(cbrt (+ (* (+ (* x y) z) y) 27464.7644705))
12.0ms	(cbrt (+ (* (+ (* x y) z) y) 27464.7644705))
765.0ms	(/ (+ (* (+ (* (* (cbrt (+ (* (+ (* x y) z) y) 27464.7644705)) (cbrt (+ (* (+ (* x y) z) y) 27464.7644705))) (* (cbrt (+ (* (+ (* x y) z) y) 27464.7644705)) y)) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series1.1s

Counts

4 → 12

Calls

4 calls:

229.0ms	(cbrt (+ (* (+ (* x y) z) y) 27464.7644705))
207.0ms	(cbrt (+ (* (+ (* x y) z) y) 27464.7644705))
204.0ms	(cbrt (+ (* (+ (* x y) z) y) 27464.7644705))
493.0ms	(/ (+ (* (+ (* (* (cbrt (+ (* (+ (* x y) z) y) 27464.7644705)) (cbrt (+ (* (+ (* x y) z) y) 27464.7644705))) (* (cbrt (+ (* (+ (* x y) z) y) 27464.7644705)) y)) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify759.0ms

Counts

82 → 82

Iterations

Useful iterations: done (752.0ms)

Iter	Nodes	Cost
0	152	3571
1	378	3536
2	1411	2409
done	5000	2271

prune1.1s

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 25.0b

localize61.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* x y) z) y)
0.1b	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
0.3b	(/ 1 (/ (+ i (* (+ (* (+ (* (+ y a) y) b) y) c) y)) (+ t (* y (+ 230661.510616 (* (+ (* (+ (* x y) z) y) 27464.7644705) y))))))
25.6b	(/ (+ i (* (+ (* (+ (* (+ y a) y) b) y) c) y)) (+ t (* y (+ 230661.510616 (* (+ (* (+ (* x y) z) y) 27464.7644705) y)))))

rewrite193.0ms

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:

27.0ms	(* (+ (* x y) z) y)
73.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
19.0ms	(/ 1 (/ (+ i (* (+ (* (+ (* (+ y a) y) b) y) c) y)) (+ t (* y (+ 230661.510616 (* (+ (* (+ (* x y) z) y) 27464.7644705) y))))))
66.0ms	(/ (+ i (* (+ (* (+ (* (+ y a) y) b) y) c) y)) (+ t (* y (+ 230661.510616 (* (+ (* (+ (* x y) z) y) 27464.7644705) y)))))

series1.7m

Counts

4 → 12

Calls

4 calls:

37.0ms	(* (+ (* x y) z) y)
68.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
1.7m	(/ 1 (/ (+ i (* (+ (* (+ (* (+ y a) y) b) y) c) y)) (+ t (* y (+ 230661.510616 (* (+ (* (+ (* x y) z) y) 27464.7644705) y))))))
899.0ms	(/ (+ i (* (+ (* (+ (* (+ y a) y) b) y) c) y)) (+ t (* y (+ 230661.510616 (* (+ (* (+ (* x y) z) y) 27464.7644705) y)))))

simplify2.0s

Counts

167 → 167

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	273	7144
1	740	6830
2	4259	6379
done	5002	6375

prune1.1s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 25.0b

localize45.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* x y) z) y)
0.1b	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
0.1b	(/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
25.6b	(* (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)) (+ t (* y (+ 230661.510616 (* (+ (* (+ (* x y) z) y) 27464.7644705) y)))))

rewrite383.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 116

Calls

4 calls:

37.0ms	(* (+ (* x y) z) y)
76.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
72.0ms	(/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
192.0ms	(* (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)) (+ t (* y (+ 230661.510616 (* (+ (* (+ (* x y) z) y) 27464.7644705) y)))))

series812.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(* (+ (* x y) z) y)
83.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
75.0ms	(/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
601.0ms	(* (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)) (+ t (* y (+ 230661.510616 (* (+ (* (+ (* x y) z) y) 27464.7644705) y)))))

simplify687.0ms

Counts

128 → 128

Iterations

Useful iterations: done (682.0ms)

Iter	Nodes	Cost
0	214	3469
1	700	3354
done	5001	2962

prune867.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 25.0b

regimes1.3s

Accuracy

0% (1.3b remaining)

Error of 29.3b against oracle of 28.0b and baseline of 29.3b

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	29	37
1	47	37
done	47	37

end0.0ms

sample2.1s

Algorithm

intervals

Results

1.3s

8257×

body

valid