Details

sample17.0ms

Algorithm

intervals

Results

8.0ms

256×

body

valid

simplify77.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	22	8
1	33	8
2	56	8
3	72	8
4	78	8
5	100	8
6	128	8
7	161	8
8	190	8
9	350	8
10	644	8
11	1012	8
12	2258	8
13	5001	8
done	5001	8

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 0.99229 (* x 0.04481))
0.0b	(+ 2.30753 (* x 0.27061))
0.0b	(* (+ 0.99229 (* x 0.04481)) x)
16.1b	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
14×	`add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
8×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
6×	`pow1`
5×	`flip3-+` `flip-+`
3×	`associate-r` `associate-l` `associate-/r` `associate-/l`
2×	`+-commutative` `associate-*l/` `sum-log` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `div-inv` `unswap-sqr`

Counts

4 → 73

Calls

4 calls:

5.0ms	(+ 0.99229 (* x 0.04481))
5.0ms	(+ 2.30753 (* x 0.27061))
16.0ms	(* (+ 0.99229 (* x 0.04481)) x)
26.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

series196.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(+ 0.99229 (* x 0.04481))
39.0ms	(+ 2.30753 (* x 0.27061))
63.0ms	(* (+ 0.99229 (* x 0.04481)) x)
61.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

simplify45.0ms

Counts

85 → 85

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	380	619
1	1452	570
2	5001	568
done	5001	568

prune195.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 2.30753 (* x 0.27061))
0.0b	(* (+ 0.99229 (* x 0.04481)) x)
0.6b	(/ 1 (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
15.3b	(* (+ 2.30753 (* x 0.27061)) (/ 1 (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-sqr-sqrt`
23×	`*-un-lft-identity`
22×	`add-cube-cbrt`
20×	`times-frac`
19×	`add-exp-log`
18×	`associate-r`
13×	`add-cbrt-cube`
9×	`pow1`
6×	`flip3-+` `associate-l` `flip-+` `add-log-exp`
5×	`prod-exp`
4×	`div-exp` `associate-*l/` `associate-/r/` `unswap-sqr`
3×	`associate-/r` `cbrt-unprod` `associate-/l`
2×	`cbrt-undiv` `frac-times` `rec-exp` `1-exp` `pow-prod-down` `*-commutative` `div-inv`
1×	`+-commutative` `pow-flip` `frac-2neg` `associate-*r/` `clear-num` `sum-log` `un-div-inv` `inv-pow`

Counts

4 → 106

Calls

4 calls:

5.0ms	(+ 2.30753 (* x 0.27061))
16.0ms	(* (+ 0.99229 (* x 0.04481)) x)
9.0ms	(/ 1 (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
36.0ms	(* (+ 2.30753 (* x 0.27061)) (/ 1 (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))

series201.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(+ 2.30753 (* x 0.27061))
62.0ms	(* (+ 0.99229 (* x 0.04481)) x)
43.0ms	(/ 1 (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
57.0ms	(* (+ 2.30753 (* x 0.27061)) (/ 1 (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))

simplify63.0ms

Counts

118 → 118

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	517	955
1	2455	849
2	5002	823
done	5002	823

prune233.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

6.7b	(* (+ 2.30753 (* x 0.27061)) (* (cbrt (/ 1 (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))) (cbrt (/ 1 (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))))
15.6b	(cbrt (/ 1 (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))
15.6b	(cbrt (/ 1 (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))
15.6b	(cbrt (/ 1 (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

45×	`cbrt-prod`
27×	`add-sqr-sqrt` `times-frac`
26×	`add-cube-cbrt` `*-un-lft-identity`
15×	`cbrt-div`
9×	`pow1` `add-exp-log` `frac-times`
7×	`flip3-+` `add-cbrt-cube` `flip-+`
6×	`associate-*r/` `associate-/r/`
5×	`associate-*l/`
4×	`add-log-exp`
3×	`pow1/3` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `div-inv`
1×	`associate-r` `*-commutative` `unswap-sqr`

Counts

4 → 102

Calls

4 calls:

57.0ms	(* (+ 2.30753 (* x 0.27061)) (* (cbrt (/ 1 (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))) (cbrt (/ 1 (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))))
4.0ms	(cbrt (/ 1 (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))
4.0ms	(cbrt (/ 1 (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))
5.0ms	(cbrt (/ 1 (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))

series677.0ms

Counts

4 → 12

Calls

4 calls:

196.0ms	(* (+ 2.30753 (* x 0.27061)) (* (cbrt (/ 1 (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))) (cbrt (/ 1 (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))))
159.0ms	(cbrt (/ 1 (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))
162.0ms	(cbrt (/ 1 (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))
159.0ms	(cbrt (/ 1 (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))

simplify58.0ms

Counts

114 → 114

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	592	1894
1	1939	1778
2	5002	1650
done	5002	1650

prune417.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ 0.99229 (* x 0.04481)) x)
0.2b	(/ (/ (- (* 2.30753 2.30753) (* (* x 0.27061) (* x 0.27061))) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))) (- 2.30753 (* x 0.27061)))
0.3b	(* (* x 0.27061) (* x 0.27061))
17.1b	(/ (- (* 2.30753 2.30753) (* (* x 0.27061) (* x 0.27061))) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

rewrite105.0ms

Algorithm

rewrite-expression-head

Rules

114×	`times-frac`
68×	`add-sqr-sqrt`
66×	`add-cube-cbrt` `*-un-lft-identity`
45×	`pow1`
25×	`add-exp-log` `add-cbrt-cube`
22×	`associate-/l*`
18×	`pow-prod-down`
16×	`difference-of-squares`
12×	`associate-/r/`
9×	`prod-exp` `cbrt-unprod`
6×	`flip3-+` `associate-/r*` `flip-+` `div-inv`
4×	`cbrt-undiv` `div-exp` `associate-r` `associate-l` `pow-sqr` `pow-prod-up` `add-log-exp`
3×	`div-sub` `associate-/l/`
2×	`flip3--` `frac-2neg` `pow-plus` `associate-l/` `clear-num` `-commutative` `flip--`
1×	`pow2` `swap-sqr` `unswap-sqr`

Counts

4 → 183

Calls

4 calls:

16.0ms	(* (+ 0.99229 (* x 0.04481)) x)
33.0ms	(/ (/ (- (* 2.30753 2.30753) (* (* x 0.27061) (* x 0.27061))) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))) (- 2.30753 (* x 0.27061)))
25.0ms	(* (* x 0.27061) (* x 0.27061))
24.0ms	(/ (- (* 2.30753 2.30753) (* (* x 0.27061) (* x 0.27061))) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

series247.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(* (+ 0.99229 (* x 0.04481)) x)
92.0ms	(/ (/ (- (* 2.30753 2.30753) (* (* x 0.27061) (* x 0.27061))) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))) (- 2.30753 (* x 0.27061)))
25.0ms	(* (* x 0.27061) (* x 0.27061))
62.0ms	(/ (- (* 2.30753 2.30753) (* (* x 0.27061) (* x 0.27061))) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

simplify113.0ms

Counts

195 → 195

Iterations

Useful iterations: 2 (90.0ms)

Iter	Nodes	Cost
0	930	2997
1	4323	2781
2	5001	2748
done	5001	2748

prune499.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes18.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	9
1	25	9
done	25	9

end0.0ms

sample369.0ms

Algorithm

intervals

Results

245.0ms

8000×

body

valid