Details

sample20.0ms

Algorithm

intervals

Results

10.0ms

256×

body

valid

simplify42.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	51
3	51
2	43
1	28
0	14

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 0.99229 (* x 0.04481))
0.0b	(+ 2.30753 (* x 0.27061))
0.1b	(* x (+ 0.99229 (* x 0.04481)))
15.3b	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 75

Calls

4 calls:

4.0ms	(+ 0.99229 (* x 0.04481))
4.0ms	(+ 2.30753 (* x 0.27061))
12.0ms	(* x (+ 0.99229 (* x 0.04481)))
27.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series324.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(+ 0.99229 (* x 0.04481))
64.0ms	(+ 2.30753 (* x 0.27061))
124.0ms	(* x (+ 0.99229 (* x 0.04481)))
65.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify1.5s

Counts

87 → 87

Iterations

Iter	Nodes
done	5000
2	1479
1	426
0	155

prune419.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* (* (+ (* 0.04481 x) 0.99229) x) (* (+ (* 0.04481 x) 0.99229) x)) (* (+ (* 0.04481 x) 0.99229) x))
0.2b	(* (* (+ (* 0.04481 x) 0.99229) x) (* (+ (* 0.04481 x) 0.99229) x))
15.3b	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (cbrt (* (* (* (+ (* 0.04481 x) 0.99229) x) (* (+ (* 0.04481 x) 0.99229) x)) (* (+ (* 0.04481 x) 0.99229) x)))))
28.5b	(cbrt (* (* (* (+ (* 0.04481 x) 0.99229) x) (* (+ (* 0.04481 x) 0.99229) x)) (* (+ (* 0.04481 x) 0.99229) x)))

rewrite729.0ms

Algorithm

rewrite-expression-head

Rules

198×	`pow1`
150×	`associate-*l/`
86×	`pow-prod-down`
62×	`flip3-+` `flip-+`
60×	`frac-times`
59×	`add-cbrt-cube` `add-exp-log`
39×	`prod-exp` `cbrt-unprod`
38×	`pow-prod-up`
26×	`cbrt-div`
21×	`*-un-lft-identity`
19×	`pow-plus`
18×	`associate-*r/`
16×	`pow-sqr`
13×	`add-sqr-sqrt` `add-cube-cbrt`
12×	`times-frac`
4×	`pow2` `associate-/r*` `distribute-lft-out` `add-log-exp`
3×	`associate-/l*`
2×	`associate-r` `associate-l` `pow3` `associate-/r/` `*-commutative` `associate-/l/`
1×	`cbrt-prod` `cbrt-undiv` `clear-num` `frac-2neg` `pow1/3` `swap-sqr` `div-exp` `rem-cbrt-cube` `div-inv`

Counts

4 → 213

Calls

4 calls:

349.0ms	(* (* (* (+ (* 0.04481 x) 0.99229) x) (* (+ (* 0.04481 x) 0.99229) x)) (* (+ (* 0.04481 x) 0.99229) x))
56.0ms	(* (* (+ (* 0.04481 x) 0.99229) x) (* (+ (* 0.04481 x) 0.99229) x))
25.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (cbrt (* (* (* (+ (* 0.04481 x) 0.99229) x) (* (+ (* 0.04481 x) 0.99229) x)) (* (+ (* 0.04481 x) 0.99229) x)))))
287.0ms	(cbrt (* (* (* (+ (* 0.04481 x) 0.99229) x) (* (+ (* 0.04481 x) 0.99229) x)) (* (+ (* 0.04481 x) 0.99229) x)))

series397.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(* (* (* (+ (* 0.04481 x) 0.99229) x) (* (+ (* 0.04481 x) 0.99229) x)) (* (+ (* 0.04481 x) 0.99229) x))
83.0ms	(* (* (+ (* 0.04481 x) 0.99229) x) (* (+ (* 0.04481 x) 0.99229) x))
118.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (cbrt (* (* (* (+ (* 0.04481 x) 0.99229) x) (* (+ (* 0.04481 x) 0.99229) x)) (* (+ (* 0.04481 x) 0.99229) x)))))
126.0ms	(cbrt (* (* (* (+ (* 0.04481 x) 0.99229) x) (* (+ (* 0.04481 x) 0.99229) x)) (* (+ (* 0.04481 x) 0.99229) x)))

simplify2.3s

Counts

225 → 225

Iterations

Iter	Nodes
done	5003
2	3003
1	845
0	312

prune879.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize150.0ms

Local error

Found 4 expressions with local error:

19.3b	(cbrt (* (* (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (cbrt (* (* (* (+ (* 0.04481 x) 0.99229) x) (* (+ (* 0.04481 x) 0.99229) x)) (* (+ (* 0.04481 x) 0.99229) x))))) (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (cbrt (* (* (* (+ (* 0.04481 x) 0.99229) x) (* (+ (* 0.04481 x) 0.99229) x)) (* (+ (* 0.04481 x) 0.99229) x)))))) (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (cbrt (* (* (* (+ (* 0.04481 x) 0.99229) x) (* (+ (* 0.04481 x) 0.99229) x)) (* (+ (* 0.04481 x) 0.99229) x)))))))
28.5b	(cbrt (* (* (* (+ (* 0.04481 x) 0.99229) x) (* (+ (* 0.04481 x) 0.99229) x)) (* (+ (* 0.04481 x) 0.99229) x)))
28.5b	(cbrt (* (* (* (+ (* 0.04481 x) 0.99229) x) (* (+ (* 0.04481 x) 0.99229) x)) (* (+ (* 0.04481 x) 0.99229) x)))
28.5b	(cbrt (* (* (* (+ (* 0.04481 x) 0.99229) x) (* (+ (* 0.04481 x) 0.99229) x)) (* (+ (* 0.04481 x) 0.99229) x)))

rewrite869.0ms

Algorithm

rewrite-expression-head

Rules

209×	`associate-*l/`
89×	`frac-times`
85×	`cbrt-div`
81×	`flip3-+` `flip-+`
27×	`associate-*r/`
4×	`cbrt-prod` `add-sqr-sqrt` `pow1` `*-un-lft-identity` `add-cbrt-cube` `pow1/3` `pow3` `add-exp-log` `add-cube-cbrt` `rem-cbrt-cube` `add-log-exp`

Counts

4 → 125

Calls

4 calls:

134.0ms	(cbrt (* (* (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (cbrt (* (* (* (+ (* 0.04481 x) 0.99229) x) (* (+ (* 0.04481 x) 0.99229) x)) (* (+ (* 0.04481 x) 0.99229) x))))) (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (cbrt (* (* (* (+ (* 0.04481 x) 0.99229) x) (* (+ (* 0.04481 x) 0.99229) x)) (* (+ (* 0.04481 x) 0.99229) x)))))) (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (cbrt (* (* (* (+ (* 0.04481 x) 0.99229) x) (* (+ (* 0.04481 x) 0.99229) x)) (* (+ (* 0.04481 x) 0.99229) x)))))))
215.0ms	(cbrt (* (* (* (+ (* 0.04481 x) 0.99229) x) (* (+ (* 0.04481 x) 0.99229) x)) (* (+ (* 0.04481 x) 0.99229) x)))
264.0ms	(cbrt (* (* (* (+ (* 0.04481 x) 0.99229) x) (* (+ (* 0.04481 x) 0.99229) x)) (* (+ (* 0.04481 x) 0.99229) x)))
239.0ms	(cbrt (* (* (* (+ (* 0.04481 x) 0.99229) x) (* (+ (* 0.04481 x) 0.99229) x)) (* (+ (* 0.04481 x) 0.99229) x)))

series538.0ms

Counts

4 → 12

Calls

4 calls:

154.0ms	(cbrt (* (* (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (cbrt (* (* (* (+ (* 0.04481 x) 0.99229) x) (* (+ (* 0.04481 x) 0.99229) x)) (* (+ (* 0.04481 x) 0.99229) x))))) (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (cbrt (* (* (* (+ (* 0.04481 x) 0.99229) x) (* (+ (* 0.04481 x) 0.99229) x)) (* (+ (* 0.04481 x) 0.99229) x)))))) (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (cbrt (* (* (* (+ (* 0.04481 x) 0.99229) x) (* (+ (* 0.04481 x) 0.99229) x)) (* (+ (* 0.04481 x) 0.99229) x)))))))
118.0ms	(cbrt (* (* (* (+ (* 0.04481 x) 0.99229) x) (* (+ (* 0.04481 x) 0.99229) x)) (* (+ (* 0.04481 x) 0.99229) x)))
122.0ms	(cbrt (* (* (* (+ (* 0.04481 x) 0.99229) x) (* (+ (* 0.04481 x) 0.99229) x)) (* (+ (* 0.04481 x) 0.99229) x)))
144.0ms	(cbrt (* (* (* (+ (* 0.04481 x) 0.99229) x) (* (+ (* 0.04481 x) 0.99229) x)) (* (+ (* 0.04481 x) 0.99229) x)))

simplify2.5s

Counts

137 → 137

Iterations

Iter	Nodes
done	5003
2	1997
1	545
0	206

prune1.1s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize66.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* (* (+ (* 0.04481 x) 0.99229) x) (* (+ (* 0.04481 x) 0.99229) x)) (* (+ (* 0.04481 x) 0.99229) x))
0.2b	(* (* (+ (* 0.04481 x) 0.99229) x) (* (+ (* 0.04481 x) 0.99229) x))
3.1b	(log (exp (cbrt (* (* (* (+ (* 0.04481 x) 0.99229) x) (* (+ (* 0.04481 x) 0.99229) x)) (* (+ (* 0.04481 x) 0.99229) x)))))
28.5b	(cbrt (* (* (* (+ (* 0.04481 x) 0.99229) x) (* (+ (* 0.04481 x) 0.99229) x)) (* (+ (* 0.04481 x) 0.99229) x)))

rewrite661.0ms

Algorithm

rewrite-expression-head

Rules

199×	`pow1`
150×	`associate-*l/`
86×	`pow-prod-down`
60×	`frac-times` `flip3-+` `flip-+`
57×	`add-cbrt-cube` `add-exp-log`
39×	`prod-exp` `cbrt-unprod`
38×	`pow-prod-up`
26×	`cbrt-div`
19×	`pow-plus`
18×	`associate-*r/`
16×	`pow-sqr`
6×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
5×	`log-pow`
4×	`pow2` `exp-prod` `add-log-exp`
3×	`log-prod`
2×	`cbrt-prod` `associate-r` `associate-l` `pow3` `*-commutative`
1×	`pow1/3` `swap-sqr` `rem-log-exp` `rem-cbrt-cube`

Counts

4 → 194

Calls

4 calls:

281.0ms	(* (* (* (+ (* 0.04481 x) 0.99229) x) (* (+ (* 0.04481 x) 0.99229) x)) (* (+ (* 0.04481 x) 0.99229) x))
82.0ms	(* (* (+ (* 0.04481 x) 0.99229) x) (* (+ (* 0.04481 x) 0.99229) x))
5.0ms	(log (exp (cbrt (* (* (* (+ (* 0.04481 x) 0.99229) x) (* (+ (* 0.04481 x) 0.99229) x)) (* (+ (* 0.04481 x) 0.99229) x)))))
274.0ms	(cbrt (* (* (* (+ (* 0.04481 x) 0.99229) x) (* (+ (* 0.04481 x) 0.99229) x)) (* (+ (* 0.04481 x) 0.99229) x)))

series412.0ms

Counts

4 → 12

Calls

4 calls:

75.0ms	(* (* (* (+ (* 0.04481 x) 0.99229) x) (* (+ (* 0.04481 x) 0.99229) x)) (* (+ (* 0.04481 x) 0.99229) x))
74.0ms	(* (* (+ (* 0.04481 x) 0.99229) x) (* (+ (* 0.04481 x) 0.99229) x))
141.0ms	(log (exp (cbrt (* (* (* (+ (* 0.04481 x) 0.99229) x) (* (+ (* 0.04481 x) 0.99229) x)) (* (+ (* 0.04481 x) 0.99229) x)))))
121.0ms	(cbrt (* (* (* (+ (* 0.04481 x) 0.99229) x) (* (+ (* 0.04481 x) 0.99229) x)) (* (+ (* 0.04481 x) 0.99229) x)))

simplify2.4s

Counts

206 → 206

Iterations

Iter	Nodes
done	5002
2	2134
1	612
0	235

prune779.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes54.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify13.0ms

Iterations

Iter	Nodes
done	28
1	28
0	20

end0.0ms

sample856.0ms

Algorithm

intervals

Results

691.0ms

8000×

body

valid