Details

sample37.0ms

Algorithm

intervals

Results

19.0ms

256×

body

valid

simplify51.0ms

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

localize27.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ 2.30753 (* x 0.27061))
0.1b	(* x (+ 0.99229 (* x 0.04481)))
14.1b	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 64

Calls

3 calls:

7.0ms	(+ 2.30753 (* x 0.27061))
13.0ms	(* x (+ 0.99229 (* x 0.04481)))
19.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series215.0ms

Counts

3 → 9

Calls

3 calls:

45.0ms	(+ 2.30753 (* x 0.27061))
91.0ms	(* x (+ 0.99229 (* x 0.04481)))
79.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify1.7s

Counts

73 → 73

Iterations

Iter	Nodes
done	5001
2	1456
1	400
0	145

prune407.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize58.0ms

Local error

Found 4 expressions with local error:

14.1b	(/ (+ (* 0.27061 x) 2.30753) (+ (* (+ (* 0.04481 x) 0.99229) x) 1.0))
14.1b	(/ (+ (* 0.27061 x) 2.30753) (+ (* (+ (* 0.04481 x) 0.99229) x) 1.0))
14.1b	(/ (+ (* 0.27061 x) 2.30753) (+ (* (+ (* 0.04481 x) 0.99229) x) 1.0))
16.8b	(cbrt (* (* (/ (+ (* 0.27061 x) 2.30753) (+ (* (+ (* 0.04481 x) 0.99229) x) 1.0)) (/ (+ (* 0.27061 x) 2.30753) (+ (* (+ (* 0.04481 x) 0.99229) x) 1.0))) (/ (+ (* 0.27061 x) 2.30753) (+ (* (+ (* 0.04481 x) 0.99229) x) 1.0))))

rewrite365.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
27×	`times-frac`
10×	`add-cbrt-cube` `add-exp-log`
9×	`associate-/r` `associate-/l`
7×	`cbrt-div`
6×	`flip3-+` `associate-/r/` `flip-+` `associate-/l/`
5×	`frac-times` `associate-*l/`
4×	`pow1` `add-log-exp`
3×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `associate-*r/` `div-inv`
1×	`cbrt-prod` `pow1/3` `pow3` `rem-cbrt-cube`

Counts

4 → 110

Calls

4 calls:

41.0ms	(/ (+ (* 0.27061 x) 2.30753) (+ (* (+ (* 0.04481 x) 0.99229) x) 1.0))
53.0ms	(/ (+ (* 0.27061 x) 2.30753) (+ (* (+ (* 0.04481 x) 0.99229) x) 1.0))
33.0ms	(/ (+ (* 0.27061 x) 2.30753) (+ (* (+ (* 0.04481 x) 0.99229) x) 1.0))
234.0ms	(cbrt (* (* (/ (+ (* 0.27061 x) 2.30753) (+ (* (+ (* 0.04481 x) 0.99229) x) 1.0)) (/ (+ (* 0.27061 x) 2.30753) (+ (* (+ (* 0.04481 x) 0.99229) x) 1.0))) (/ (+ (* 0.27061 x) 2.30753) (+ (* (+ (* 0.04481 x) 0.99229) x) 1.0))))

series341.0ms

Counts

4 → 12

Calls

4 calls:

72.0ms	(/ (+ (* 0.27061 x) 2.30753) (+ (* (+ (* 0.04481 x) 0.99229) x) 1.0))
79.0ms	(/ (+ (* 0.27061 x) 2.30753) (+ (* (+ (* 0.04481 x) 0.99229) x) 1.0))
84.0ms	(/ (+ (* 0.27061 x) 2.30753) (+ (* (+ (* 0.04481 x) 0.99229) x) 1.0))
106.0ms	(cbrt (* (* (/ (+ (* 0.27061 x) 2.30753) (+ (* (+ (* 0.04481 x) 0.99229) x) 1.0)) (/ (+ (* 0.27061 x) 2.30753) (+ (* (+ (* 0.04481 x) 0.99229) x) 1.0))) (/ (+ (* 0.27061 x) 2.30753) (+ (* (+ (* 0.04481 x) 0.99229) x) 1.0))))

simplify2.5s

Counts

122 → 122

Iterations

Iter	Nodes
done	5004
3	3260
2	1004
1	326
0	122

prune876.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize88.0ms

Local error

Found 4 expressions with local error:

11.8b	(/ (* (cbrt (+ (* 0.27061 x) 2.30753)) (cbrt (+ (* 0.27061 x) 2.30753))) (/ (+ (* (+ (* 0.04481 x) 0.99229) x) 1.0) (cbrt (+ (* 0.27061 x) 2.30753))))
14.1b	(/ (+ (* 0.27061 x) 2.30753) (+ (* (+ (* 0.04481 x) 0.99229) x) 1.0))
14.1b	(/ (+ (* 0.27061 x) 2.30753) (+ (* (+ (* 0.04481 x) 0.99229) x) 1.0))
16.8b	(cbrt (* (* (/ (+ (* 0.27061 x) 2.30753) (+ (* (+ (* 0.04481 x) 0.99229) x) 1.0)) (/ (+ (* 0.27061 x) 2.30753) (+ (* (+ (* 0.04481 x) 0.99229) x) 1.0))) (/ (* (cbrt (+ (* 0.27061 x) 2.30753)) (cbrt (+ (* 0.27061 x) 2.30753))) (/ (+ (* (+ (* 0.04481 x) 0.99229) x) 1.0) (cbrt (+ (* 0.27061 x) 2.30753))))))

rewrite414.0ms

Algorithm

rewrite-expression-head

Rules

78×	`times-frac`
46×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
30×	`associate-/r*`
23×	`cbrt-div`
20×	`add-exp-log`
19×	`cbrt-prod`
14×	`add-cbrt-cube`
12×	`flip3-+` `flip-+` `associate-/l/`
9×	`frac-times` `associate-/r/`
8×	`cbrt-undiv` `div-exp`
7×	`associate-l/` `associate-/l`
5×	`associate-*r/` `div-inv`
4×	`pow1` `add-log-exp`
3×	`clear-num` `frac-2neg`
2×	`prod-exp` `cbrt-unprod`
1×	`pow1/3`

Counts

4 → 154

Calls

4 calls:

53.0ms	(/ (* (cbrt (+ (* 0.27061 x) 2.30753)) (cbrt (+ (* 0.27061 x) 2.30753))) (/ (+ (* (+ (* 0.04481 x) 0.99229) x) 1.0) (cbrt (+ (* 0.27061 x) 2.30753))))
43.0ms	(/ (+ (* 0.27061 x) 2.30753) (+ (* (+ (* 0.04481 x) 0.99229) x) 1.0))
59.0ms	(/ (+ (* 0.27061 x) 2.30753) (+ (* (+ (* 0.04481 x) 0.99229) x) 1.0))
248.0ms	(cbrt (* (* (/ (+ (* 0.27061 x) 2.30753) (+ (* (+ (* 0.04481 x) 0.99229) x) 1.0)) (/ (+ (* 0.27061 x) 2.30753) (+ (* (+ (* 0.04481 x) 0.99229) x) 1.0))) (/ (* (cbrt (+ (* 0.27061 x) 2.30753)) (cbrt (+ (* 0.27061 x) 2.30753))) (/ (+ (* (+ (* 0.04481 x) 0.99229) x) 1.0) (cbrt (+ (* 0.27061 x) 2.30753))))))

series319.0ms

Counts

4 → 12

Calls

4 calls:

74.0ms	(/ (* (cbrt (+ (* 0.27061 x) 2.30753)) (cbrt (+ (* 0.27061 x) 2.30753))) (/ (+ (* (+ (* 0.04481 x) 0.99229) x) 1.0) (cbrt (+ (* 0.27061 x) 2.30753))))
79.0ms	(/ (+ (* 0.27061 x) 2.30753) (+ (* (+ (* 0.04481 x) 0.99229) x) 1.0))
86.0ms	(/ (+ (* 0.27061 x) 2.30753) (+ (* (+ (* 0.04481 x) 0.99229) x) 1.0))
80.0ms	(cbrt (* (* (/ (+ (* 0.27061 x) 2.30753) (+ (* (+ (* 0.04481 x) 0.99229) x) 1.0)) (/ (+ (* 0.27061 x) 2.30753) (+ (* (+ (* 0.04481 x) 0.99229) x) 1.0))) (/ (* (cbrt (+ (* 0.27061 x) 2.30753)) (cbrt (+ (* 0.27061 x) 2.30753))) (/ (+ (* (+ (* 0.04481 x) 0.99229) x) 1.0) (cbrt (+ (* 0.27061 x) 2.30753))))))

simplify2.6s

Counts

166 → 166

Iterations

Iter	Nodes
done	5000
2	2572
1	782
0	274

prune1.4s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes39.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	24
1	24
0	17

end0.0ms

sample840.0ms

Algorithm

intervals

Results

696.0ms

8000×

body

valid