Details

sample43.0ms

Algorithm

intervals

Results

21.0ms

256×

body

valid

simplify37.0ms

Counts

1 → 1

Iterations

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

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

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))
14.8b	(/ (+ (* 0.27061 x) 2.30753) (+ (* x (+ (* x 0.04481) 0.99229)) 1.0))

rewrite254.0ms

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:

172.0ms	(- (/ (+ (* 0.27061 x) 2.30753) (+ (* x (+ (* x 0.04481) 0.99229)) 1.0)) x)
6.0ms	(+ (* 0.27061 x) 2.30753)
22.0ms	(* x (+ (* x 0.04481) 0.99229))
52.0ms	(/ (+ (* 0.27061 x) 2.30753) (+ (* x (+ (* x 0.04481) 0.99229)) 1.0))

series371.0ms

Counts

4 → 12

Calls

4 calls:

129.0ms	(- (/ (+ (* 0.27061 x) 2.30753) (+ (* x (+ (* x 0.04481) 0.99229)) 1.0)) x)
62.0ms	(+ (* 0.27061 x) 2.30753)
95.0ms	(* x (+ (* x 0.04481) 0.99229))
84.0ms	(/ (+ (* 0.27061 x) 2.30753) (+ (* x (+ (* x 0.04481) 0.99229)) 1.0))

simplify1.0s

Counts

91 → 91

Iterations

Iter	Nodes
done	5000
2	2045
1	469
0	170

prune546.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.1b	(* x (+ (* 0.04481 x) 0.99229))
0.2b	(pow (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ (* 0.04481 x) 0.99229)))) 3)
14.8b	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ (* 0.04481 x) 0.99229))))
19.4b	(cbrt (pow (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ (* 0.04481 x) 0.99229)))) 3))

rewrite142.0ms

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:

38.0ms	(* x (+ (* 0.04481 x) 0.99229))
26.0ms	(pow (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ (* 0.04481 x) 0.99229)))) 3)
46.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ (* 0.04481 x) 0.99229))))
23.0ms	(cbrt (pow (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ (* 0.04481 x) 0.99229)))) 3))

series437.0ms

Counts

4 → 12

Calls

4 calls:

92.0ms	(* x (+ (* 0.04481 x) 0.99229))
122.0ms	(pow (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ (* 0.04481 x) 0.99229)))) 3)
112.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ (* 0.04481 x) 0.99229))))
111.0ms	(cbrt (pow (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ (* 0.04481 x) 0.99229)))) 3))

simplify2.2s

Counts

161 → 161

Iterations

Iter	Nodes
done	5001
2	4739
1	832
0	244

prune927.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (cbrt (pow (+ 2.30753 (- (* (* x x) 1.900161040244073) (* 2.0191289436999997 x))) 3)) x)
0.1b	(pow (+ 2.30753 (- (* (* x x) 1.900161040244073) (* 2.0191289436999997 x))) 3)
0.1b	(* (* x x) 1.900161040244073)
10.2b	(cbrt (pow (+ 2.30753 (- (* (* x x) 1.900161040244073) (* 2.0191289436999997 x))) 3))

rewrite1.1s

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt` `*-un-lft-identity`
18×	`cbrt-prod`
11×	`add-cube-cbrt`
10×	`pow1` `add-cbrt-cube` `add-exp-log`
9×	`unpow-prod-down` `cube-prod`
6×	`add-log-exp`
5×	`difference-of-squares`
4×	`cube-div` `distribute-lft-out`
3×	`pow-unpow` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `sqr-pow`
2×	`cube-mult` `cbrt-div` `flip3-+` `unpow3` `flip-+`
1×	`pow-to-exp` `sub-neg` `pow-pow` `flip3--` `pow1/3` `diff-log` `associate-l` `pow-exp` `*-commutative` `rem-cbrt-cube` `flip--` `distribute-lft-out--` `rem-cube-cbrt` `unswap-sqr`

Counts

4 → 89

Calls

4 calls:

824.0ms	(- (cbrt (pow (+ 2.30753 (- (* (* x x) 1.900161040244073) (* 2.0191289436999997 x))) 3)) x)
88.0ms	(pow (+ 2.30753 (- (* (* x x) 1.900161040244073) (* 2.0191289436999997 x))) 3)
32.0ms	(* (* x x) 1.900161040244073)
119.0ms	(cbrt (pow (+ 2.30753 (- (* (* x x) 1.900161040244073) (* 2.0191289436999997 x))) 3))

series215.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(- (cbrt (pow (+ 2.30753 (- (* (* x x) 1.900161040244073) (* 2.0191289436999997 x))) 3)) x)
89.0ms	(pow (+ 2.30753 (- (* (* x x) 1.900161040244073) (* 2.0191289436999997 x))) 3)
57.0ms	(* (* x x) 1.900161040244073)
38.0ms	(cbrt (pow (+ 2.30753 (- (* (* x x) 1.900161040244073) (* 2.0191289436999997 x))) 3))

simplify2.1s

Counts

101 → 101

Iterations

Iter	Nodes
done	5002
2	2887
1	448
0	157

prune441.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes45.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	23
1	23
0	17

end0.0ms

sample1.3s

Algorithm

intervals

Results

1.1s

8000×

body

valid