Details

sample27.0ms

Algorithm

intervals

Results

12.0ms

256×

body

valid

simplify2.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	5141
14	3335
13	1795
12	1168
11	845
10	504
9	247
8	169
7	139
6	109
5	86
4	77
3	58
2	33
1	22
0	14

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite41.0ms

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-*l/` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `div-inv` `unswap-sqr`

Counts

4 → 73

Calls

4 calls:

4.0ms	(+ 0.99229 (* x 0.04481))
5.0ms	(+ 2.30753 (* x 0.27061))
13.0ms	(* (+ 0.99229 (* x 0.04481)) x)
18.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

series309.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(+ 0.99229 (* x 0.04481))
58.0ms	(+ 2.30753 (* x 0.27061))
99.0ms	(* (+ 0.99229 (* x 0.04481)) x)
88.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

simplify1.8s

Counts

85 → 85

Iterations

Iter	Nodes
done	5002
2	1502
1	388
0	153

prune394.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize36.0ms

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)))

rewrite741.0ms

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:

329.0ms	(* (* (* (+ (* 0.04481 x) 0.99229) x) (* (+ (* 0.04481 x) 0.99229) x)) (* (+ (* 0.04481 x) 0.99229) x))
70.0ms	(* (* (+ (* 0.04481 x) 0.99229) x) (* (+ (* 0.04481 x) 0.99229) x))
41.0ms	(/ (+ 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)))))
282.0ms	(cbrt (* (* (* (+ (* 0.04481 x) 0.99229) x) (* (+ (* 0.04481 x) 0.99229) x)) (* (+ (* 0.04481 x) 0.99229) x)))

series401.0ms

Counts

4 → 12

Calls

4 calls:

100.0ms	(* (* (* (+ (* 0.04481 x) 0.99229) x) (* (+ (* 0.04481 x) 0.99229) x)) (* (+ (* 0.04481 x) 0.99229) x))
58.0ms	(* (* (+ (* 0.04481 x) 0.99229) x) (* (+ (* 0.04481 x) 0.99229) x))
137.0ms	(/ (+ 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)))))
105.0ms	(cbrt (* (* (* (+ (* 0.04481 x) 0.99229) x) (* (+ (* 0.04481 x) 0.99229) x)) (* (+ (* 0.04481 x) 0.99229) x)))

simplify2.8s

Counts

225 → 225

Iterations

Iter	Nodes
done	5003
2	3003
1	845
0	312

prune1.3s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize136.0ms

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)))

rewrite967.0ms

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:

120.0ms	(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)))))))
264.0ms	(cbrt (* (* (* (+ (* 0.04481 x) 0.99229) x) (* (+ (* 0.04481 x) 0.99229) x)) (* (+ (* 0.04481 x) 0.99229) x)))
277.0ms	(cbrt (* (* (* (+ (* 0.04481 x) 0.99229) x) (* (+ (* 0.04481 x) 0.99229) x)) (* (+ (* 0.04481 x) 0.99229) x)))
289.0ms	(cbrt (* (* (* (+ (* 0.04481 x) 0.99229) x) (* (+ (* 0.04481 x) 0.99229) x)) (* (+ (* 0.04481 x) 0.99229) x)))

series502.0ms

Counts

4 → 12

Calls

4 calls:

138.0ms	(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)))))))
102.0ms	(cbrt (* (* (* (+ (* 0.04481 x) 0.99229) x) (* (+ (* 0.04481 x) 0.99229) x)) (* (+ (* 0.04481 x) 0.99229) x)))
125.0ms	(cbrt (* (* (* (+ (* 0.04481 x) 0.99229) x) (* (+ (* 0.04481 x) 0.99229) x)) (* (+ (* 0.04481 x) 0.99229) x)))
136.0ms	(cbrt (* (* (* (+ (* 0.04481 x) 0.99229) x) (* (+ (* 0.04481 x) 0.99229) x)) (* (+ (* 0.04481 x) 0.99229) x)))

simplify2.1s

Counts

137 → 137

Iterations

Iter	Nodes
done	5003
2	1997
1	545
0	206

prune992.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize57.0ms

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)))

rewrite648.0ms

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:

272.0ms	(* (* (* (+ (* 0.04481 x) 0.99229) x) (* (+ (* 0.04481 x) 0.99229) x)) (* (+ (* 0.04481 x) 0.99229) x))
75.0ms	(* (* (+ (* 0.04481 x) 0.99229) x) (* (+ (* 0.04481 x) 0.99229) x))
2.0ms	(log (exp (cbrt (* (* (* (+ (* 0.04481 x) 0.99229) x) (* (+ (* 0.04481 x) 0.99229) x)) (* (+ (* 0.04481 x) 0.99229) x)))))
275.0ms	(cbrt (* (* (* (+ (* 0.04481 x) 0.99229) x) (* (+ (* 0.04481 x) 0.99229) x)) (* (+ (* 0.04481 x) 0.99229) x)))

series381.0ms

Counts

4 → 12

Calls

4 calls:

76.0ms	(* (* (* (+ (* 0.04481 x) 0.99229) x) (* (+ (* 0.04481 x) 0.99229) x)) (* (+ (* 0.04481 x) 0.99229) x))
53.0ms	(* (* (+ (* 0.04481 x) 0.99229) x) (* (+ (* 0.04481 x) 0.99229) x))
118.0ms	(log (exp (cbrt (* (* (* (+ (* 0.04481 x) 0.99229) x) (* (+ (* 0.04481 x) 0.99229) x)) (* (+ (* 0.04481 x) 0.99229) x)))))
134.0ms	(cbrt (* (* (* (+ (* 0.04481 x) 0.99229) x) (* (+ (* 0.04481 x) 0.99229) x)) (* (+ (* 0.04481 x) 0.99229) x)))

simplify2.1s

Counts

206 → 206

Iterations

Iter	Nodes
done	5002
2	2134
1	612
0	235

prune710.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes48.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify10.0ms

Iterations

Iter	Nodes
done	28
1	28
0	20

end0.0ms

sample717.0ms

Algorithm

intervals

Results

592.0ms

8000×

body

valid