Details

sample66.0ms

Algorithm

intervals

Results

32.0ms

266×

body

valid

simplify2.5s

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

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 31.2b

localize45.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
0.1b	(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
0.1b	(* (+ (* (+ y a) y) b) y)
30.4b	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite433.0ms

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:

80.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
134.0ms	(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
53.0ms	(* (+ (* (+ y a) y) b) y)
160.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series769.0ms

Counts

4 → 12

Calls

4 calls:

81.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
101.0ms	(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
49.0ms	(* (+ (* (+ y a) y) b) y)
538.0ms	(/ (+ (* (+ (* (+ (* (+ (* 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: done (1.7s)

Iter	Nodes	Cost
0	197	2669
1	530	2621
2	2887	2377
done	5002	2375

prune824.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 30.2b

localize50.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
0.1b	(* (+ (* (+ y a) y) b) y)
0.4b	(/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
30.2b	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))

rewrite699.0ms

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:

132.0ms	(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
60.0ms	(* (+ (* (+ y a) y) b) y)
90.0ms	(/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
411.0ms	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))

series809.0ms

Counts

4 → 12

Calls

4 calls:

132.0ms	(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
43.0ms	(* (+ (* (+ y a) y) b) y)
109.0ms	(/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
525.0ms	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))

simplify5.0s

Counts

127 → 127

Iterations

Useful iterations: 2 (1.0s)

Iter	Nodes	Cost
0	210	3521
1	591	3372
2	4510	2991
done	5000	2991

prune823.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 30.2b

localize50.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) 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)))
30.5b	(/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))

rewrite593.0ms

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:

133.0ms	(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
62.0ms	(* (+ (* (+ y a) y) b) y)
189.0ms	(/ 1 (/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)))
196.0ms	(/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))

series1.6s

Counts

4 → 12

Calls

4 calls:

142.0ms	(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
43.0ms	(* (+ (* (+ y a) y) b) y)
690.0ms	(/ 1 (/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)))
733.0ms	(/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))

simplify3.2s

Counts

167 → 167

Iterations

Useful iterations: 2 (1.4s)

Iter	Nodes	Cost
0	278	7306
1	748	7030
2	4818	6579
done	5000	6579

prune903.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 30.2b

localize77.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)
30.5b	(/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) (* (cbrt y) (cbrt y))) (cbrt y)) t))

rewrite535.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 64

Calls

4 calls:

2.0ms	(cbrt y)
2.0ms	(cbrt y)
2.0ms	(cbrt y)
527.0ms	(/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) (* (cbrt y) (cbrt y))) (cbrt y)) t))

series2.0s

Counts

4 → 12

Calls

4 calls:

275.0ms	(cbrt y)
324.0ms	(cbrt y)
287.0ms	(cbrt y)
1.1s	(/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) (* (cbrt y) (cbrt y))) (cbrt y)) t))

simplify726.0ms

Counts

76 → 76

Iterations

Useful iterations: done (721.0ms)

Iter	Nodes	Cost
0	113	2109
1	269	2086
2	1121	1605
done	5001	1593

prune638.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 30.2b

regimes809.0ms

Accuracy

0% (1.2b remaining)

Error of 29.5b against oracle of 28.4b and baseline of 29.5b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	28	35
1	46	35
done	46	35

end0.0ms

sample2.7s

Algorithm

intervals

Results

1.8s

8255×

body

valid