Details

sample22.0ms

Algorithm

intervals

Results

12.0ms

256×

body

valid

simplify28.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	17
1	28	17
2	43	17
3	55	17
4	58	17
done	58	17

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 1.0 (* x (+ 0.99229 (* x 0.04481))))
0.0b	(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
0.1b	(* x (+ 0.99229 (* x 0.04481)))
13.5b	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite126.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 81

Calls

4 calls:

8.0ms	(+ 1.0 (* x (+ 0.99229 (* x 0.04481))))
75.0ms	(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
16.0ms	(* x (+ 0.99229 (* x 0.04481)))
25.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series348.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(+ 1.0 (* x (+ 0.99229 (* x 0.04481))))
139.0ms	(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
107.0ms	(* x (+ 0.99229 (* x 0.04481)))
62.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify1.2s

Counts

93 → 93

Iterations

Useful iterations: 2 (425.0ms)

Iter	Nodes	Cost
0	173	1756
1	469	1682
2	2036	1568
done	5000	1568

prune286.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (+ (* 0.04481 (pow x 2)) (* 0.99229 x)))) x)
0.0b	(+ (* 0.04481 (pow x 2)) (* 0.99229 x))
0.3b	(* 0.04481 (pow x 2))
13.5b	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (+ (* 0.04481 (pow x 2)) (* 0.99229 x))))

rewrite450.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt`
26×	`*-un-lft-identity`
16×	`add-cube-cbrt`
13×	`times-frac`
11×	`add-exp-log`
8×	`associate-r` `add-cbrt-cube` `add-log-exp`
4×	`pow1` `unpow-prod-down` `associate-/r*` `distribute-lft-out` `unswap-sqr`
3×	`flip3-+` `associate-l` `prod-exp` `flip-+` `associate-/l*`
2×	`associate-/r/` `associate-/l/` `unpow2` `difference-of-squares` `sqr-pow`
1×	`cbrt-undiv` `+-commutative` `pow-to-exp` `sub-neg` `flip3--` `frac-2neg` `diff-log` `div-exp` `pow-exp` `clear-num` `sum-log` `*-commutative` `flip--` `cbrt-unprod` `div-inv` `distribute-lft-out--`

Counts

4 → 88

Calls

4 calls:

293.0ms	(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (+ (* 0.04481 (pow x 2)) (* 0.99229 x)))) x)
23.0ms	(+ (* 0.04481 (pow x 2)) (* 0.99229 x))
24.0ms	(* 0.04481 (pow x 2))
103.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (+ (* 0.04481 (pow x 2)) (* 0.99229 x))))

series311.0ms

Counts

4 → 12

Calls

4 calls:

138.0ms	(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (+ (* 0.04481 (pow x 2)) (* 0.99229 x)))) x)
79.0ms	(+ (* 0.04481 (pow x 2)) (* 0.99229 x))
27.0ms	(* 0.04481 (pow x 2))
66.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (+ (* 0.04481 (pow x 2)) (* 0.99229 x))))

simplify1.7s

Counts

100 → 100

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	186	1943
1	471	1825
2	1912	1706
done	5000	1705

prune367.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ 1.0 (+ (* 0.04481 (pow x 2)) (* 0.99229 x))) (- 2.30753 (* x 0.27061)))
0.3b	(* (* x 0.27061) (* x 0.27061))
0.3b	(* 0.04481 (pow x 2))
19.4b	(/ (- (* 2.30753 2.30753) (* (* x 0.27061) (* x 0.27061))) (* (+ 1.0 (+ (* 0.04481 (pow x 2)) (* 0.99229 x))) (- 2.30753 (* x 0.27061))))

rewrite247.0ms

Algorithm

rewrite-expression-head

Rules

45×	`pow1`
28×	`add-exp-log`
25×	`add-cbrt-cube`
19×	`add-sqr-sqrt`
18×	`pow-prod-down`
13×	`*-un-lft-identity` `prod-exp`
12×	`associate-r`
11×	`add-cube-cbrt` `cbrt-unprod`
8×	`frac-times` `associate-l` `associate-/r/`
7×	`flip3--` `flip--`
6×	`flip3-+` `flip-+`
5×	`unswap-sqr`
4×	`unpow-prod-down` `times-frac` `associate-r/` `associate-l/` `pow-sqr` `pow-prod-up` `associate-/l*` `add-log-exp`
3×	`*-commutative`
2×	`cbrt-undiv` `distribute-rgt-in` `sub-neg` `distribute-lft-in` `pow-plus` `div-exp` `associate-/l/` `unpow2` `difference-of-squares` `sqr-pow`
1×	`pow2` `pow-to-exp` `frac-2neg` `div-sub` `swap-sqr` `pow-exp` `clear-num` `associate-/r*` `div-inv` `distribute-lft-out`

Counts

4 → 126

Calls

4 calls:

120.0ms	(* (+ 1.0 (+ (* 0.04481 (pow x 2)) (* 0.99229 x))) (- 2.30753 (* x 0.27061)))
45.0ms	(* (* x 0.27061) (* x 0.27061))
14.0ms	(* 0.04481 (pow x 2))
61.0ms	(/ (- (* 2.30753 2.30753) (* (* x 0.27061) (* x 0.27061))) (* (+ 1.0 (+ (* 0.04481 (pow x 2)) (* 0.99229 x))) (- 2.30753 (* x 0.27061))))

series309.0ms

Counts

4 → 12

Calls

4 calls:

69.0ms	(* (+ 1.0 (+ (* 0.04481 (pow x 2)) (* 0.99229 x))) (- 2.30753 (* x 0.27061)))
49.0ms	(* (* x 0.27061) (* x 0.27061))
54.0ms	(* 0.04481 (pow x 2))
137.0ms	(/ (- (* 2.30753 2.30753) (* (* x 0.27061) (* x 0.27061))) (* (+ 1.0 (+ (* 0.04481 (pow x 2)) (* 0.99229 x))) (- 2.30753 (* x 0.27061))))

simplify2.6s

Counts

138 → 138

Iterations

Useful iterations: done (2.6s)

Iter	Nodes	Cost
0	232	2877
1	701	2702
2	4246	2189
done	5000	2169

prune467.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x) 3)
0.1b	(* x (+ 0.99229 (* x 0.04481)))
13.5b	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
18.7b	(cbrt (pow (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x) 3))

rewrite317.0ms

Algorithm

rewrite-expression-head

Rules

42×	`add-sqr-sqrt`
28×	`*-un-lft-identity`
20×	`add-cube-cbrt`
18×	`cbrt-prod`
13×	`times-frac`
12×	`unpow-prod-down` `cube-prod`
9×	`add-exp-log` `add-cbrt-cube`
8×	`difference-of-squares`
7×	`pow1`
4×	`cube-div` `distribute-lft-out--` `add-log-exp`
3×	`pow-unpow` `flip3-+` `associate-r` `associate-l` `associate-/r` `flip-+` `associate-/l`
2×	`cube-mult` `cbrt-div` `flip3--` `unpow3` `associate-*r/` `associate-/r/` `flip--` `associate-/l/` `sqr-pow`
1×	`cbrt-undiv` `distribute-rgt-in` `pow-to-exp` `pow-pow` `frac-2neg` `distribute-lft-in` `pow1/3` `div-exp` `pow-prod-down` `pow-exp` `prod-exp` `clear-num` `*-commutative` `rem-cbrt-cube` `cbrt-unprod` `div-inv` `rem-cube-cbrt` `unswap-sqr`

Counts

4 → 113

Calls

4 calls:

147.0ms	(pow (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x) 3)
32.0ms	(* x (+ 0.99229 (* x 0.04481)))
31.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
99.0ms	(cbrt (pow (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x) 3))

series503.0ms

Counts

4 → 12

Calls

4 calls:

182.0ms	(pow (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x) 3)
131.0ms	(* x (+ 0.99229 (* x 0.04481)))
80.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
110.0ms	(cbrt (pow (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x) 3))

simplify2.2s

Counts

125 → 125

Iterations

Useful iterations: 2 (728.0ms)

Iter	Nodes	Cost
0	222	3255
1	671	2996
2	3370	2706
done	5001	2706

prune431.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes37.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	19
1	22	19
done	22	19

end0.0ms

sample822.0ms

Algorithm

intervals

Results

630.0ms

8000×

body

valid