Details

sample31.0ms

Algorithm

intervals

Results

15.0ms

256×

body

valid

simplify23.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	63
4	63
3	56
2	43
1	28
0	14

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ (+ (* 0.27061 x) 2.30753) (+ (* x (+ (* x 0.04481) 0.99229)) 1.0)) x)
0.0b	(+ (* 0.27061 x) 2.30753)
0.1b	(* x (+ (* x 0.04481) 0.99229))
16.7b	(/ (+ (* 0.27061 x) 2.30753) (+ (* x (+ (* x 0.04481) 0.99229)) 1.0))

rewrite308.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 79

Calls

4 calls:

204.0ms	(- (/ (+ (* 0.27061 x) 2.30753) (+ (* x (+ (* x 0.04481) 0.99229)) 1.0)) x)
6.0ms	(+ (* 0.27061 x) 2.30753)
32.0ms	(* x (+ (* x 0.04481) 0.99229))
62.0ms	(/ (+ (* 0.27061 x) 2.30753) (+ (* x (+ (* x 0.04481) 0.99229)) 1.0))

series428.0ms

Counts

4 → 12

Calls

4 calls:

153.0ms	(- (/ (+ (* 0.27061 x) 2.30753) (+ (* x (+ (* x 0.04481) 0.99229)) 1.0)) x)
65.0ms	(+ (* 0.27061 x) 2.30753)
104.0ms	(* x (+ (* x 0.04481) 0.99229))
106.0ms	(/ (+ (* 0.27061 x) 2.30753) (+ (* x (+ (* x 0.04481) 0.99229)) 1.0))

simplify1.1s

Counts

91 → 91

Iterations

Iter	Nodes
done	5000
2	2045
1	469
0	170

prune498.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)
16.7b	(/ (+ (* 0.27061 x) 2.30753) (+ (* (* (cbrt x) (cbrt x)) (* (cbrt x) (+ (* 0.04481 x) 0.99229))) 1.0))

rewrite95.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 64

Calls

4 calls:

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

series962.0ms

Counts

4 → 12

Calls

4 calls:

304.0ms	(cbrt x)
250.0ms	(cbrt x)
318.0ms	(cbrt x)
89.0ms	(/ (+ (* 0.27061 x) 2.30753) (+ (* (* (cbrt x) (cbrt x)) (* (cbrt x) (+ (* 0.04481 x) 0.99229))) 1.0))

simplify684.0ms

Counts

76 → 76

Iterations

Iter	Nodes
done	5001
2	1288
1	298
0	118

prune421.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize50.0ms

Local error

Found 4 expressions with local error:

0.1b	(* x (+ (* 0.04481 x) 0.99229))
0.1b	(pow (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ (* 0.04481 x) 0.99229)))) 3)
16.7b	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ (* 0.04481 x) 0.99229))))
22.5b	(cbrt (pow (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ (* 0.04481 x) 0.99229)))) 3))

rewrite89.0ms

Algorithm

rewrite-expression-head

Rules

46×	`add-sqr-sqrt`
45×	`times-frac`
44×	`*-un-lft-identity` `add-cube-cbrt`
36×	`cbrt-prod`
30×	`unpow-prod-down` `cube-prod`
11×	`add-cbrt-cube` `add-exp-log`
10×	`associate-/r/`
7×	`pow1` `flip3-+` `flip-+`
5×	`div-inv`
4×	`add-log-exp`
3×	`pow-unpow` `associate-/r` `associate-r` `associate-l` `associate-/l`
2×	`cube-div` `cube-mult` `cbrt-undiv` `unpow3` `div-exp` `pow-exp` `associate-*r/` `rem-cube-cbrt` `sqr-pow` `associate-/l/`
1×	`distribute-rgt-in` `pow-to-exp` `cbrt-div` `clear-num` `pow-pow` `frac-2neg` `distribute-lft-in` `pow1/3` `pow-prod-down` `prod-exp` `*-commutative` `rem-cbrt-cube` `cbrt-unprod` `unswap-sqr`

Counts

4 → 149

Calls

4 calls:

36.0ms	(* x (+ (* 0.04481 x) 0.99229))
12.0ms	(pow (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ (* 0.04481 x) 0.99229)))) 3)
17.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ (* 0.04481 x) 0.99229))))
13.0ms	(cbrt (pow (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ (* 0.04481 x) 0.99229)))) 3))

series414.0ms

Counts

4 → 12

Calls

4 calls:

109.0ms	(* x (+ (* 0.04481 x) 0.99229))
142.0ms	(pow (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ (* 0.04481 x) 0.99229)))) 3)
78.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ (* 0.04481 x) 0.99229))))
85.0ms	(cbrt (pow (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ (* 0.04481 x) 0.99229)))) 3))

simplify2.1s

Counts

161 → 161

Iterations

Iter	Nodes
done	5001
2	4739
1	832
0	244

prune768.0ms

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

simplify4.0ms

Iterations

Iter	Nodes
done	24
1	24
0	17

end0.0ms

sample865.0ms

Algorithm

intervals

Results

666.0ms

8000×

body

valid