Details

sample21.0ms

Algorithm

intervals

Results

10.0ms

256×

body

valid

simplify4.7s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	17
1	22	17
2	33	17
3	58	17
4	83	17
5	93	17
6	115	17
7	143	17
8	175	17
9	392	17
10	1194	17
11	4652	17
done	5001	17

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

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

rewrite106.0ms

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×	`associate-*l/` `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 → 77

Calls

4 calls:

13.0ms	(+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))
40.0ms	(- x (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))
22.0ms	(* (+ 0.99229 (* x 0.04481)) x)
26.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

series395.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))
121.0ms	(- x (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))
122.0ms	(* (+ 0.99229 (* x 0.04481)) x)
107.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

simplify1.3s

Counts

89 → 89

Iterations

Useful iterations: 2 (334.0ms)

Iter	Nodes	Cost
0	168	1758
1	429	1670
2	1891	1556
done	5001	1556

prune690.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (* (+ 2.30753 (* x 0.27061)) (/ 1 (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))))
0.1b	(* (+ 0.99229 (* x 0.04481)) x)
0.5b	(/ 1 (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
12.9b	(* (+ 2.30753 (* x 0.27061)) (/ 1 (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))

rewrite99.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-sqr-sqrt`
23×	`*-un-lft-identity`
22×	`add-cube-cbrt`
20×	`times-frac`
19×	`add-exp-log`
18×	`associate-r`
13×	`add-cbrt-cube`
9×	`pow1`
6×	`associate-l` `add-log-exp`
5×	`flip3-+` `prod-exp` `flip-+`
4×	`div-exp` `associate-*l/` `associate-/r/` `unswap-sqr`
3×	`associate-/r` `cbrt-unprod` `associate-/l`
2×	`cbrt-undiv` `frac-times` `rec-exp` `1-exp` `pow-prod-down` `*-commutative` `div-inv`
1×	`sub-neg` `flip3--` `pow-flip` `frac-2neg` `diff-log` `associate-*r/` `clear-num` `un-div-inv` `flip--` `inv-pow`

Counts

4 → 107

Calls

4 calls:

5.0ms	(- x (* (+ 2.30753 (* x 0.27061)) (/ 1 (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))))
17.0ms	(* (+ 0.99229 (* x 0.04481)) x)
10.0ms	(/ 1 (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
62.0ms	(* (+ 2.30753 (* x 0.27061)) (/ 1 (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))

series337.0ms

Counts

4 → 12

Calls

4 calls:

118.0ms	(- x (* (+ 2.30753 (* x 0.27061)) (/ 1 (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))))
88.0ms	(* (+ 0.99229 (* x 0.04481)) x)
55.0ms	(/ 1 (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
75.0ms	(* (+ 2.30753 (* x 0.27061)) (/ 1 (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))

simplify2.2s

Counts

119 → 119

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	215	2320
1	591	2143
2	3195	1866
done	5000	1864

prune365.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)) (- 2.30753 (* x 0.27061)))
0.1b	(* (+ 0.99229 (* x 0.04481)) x)
0.2b	(* (- 2.30753 (* 0.27061 x)) (+ 2.30753 (* 0.27061 x)))
19.4b	(/ (* (- 2.30753 (* 0.27061 x)) (+ 2.30753 (* 0.27061 x))) (* (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)) (- 2.30753 (* x 0.27061))))

rewrite219.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 115

Calls

4 calls:

58.0ms	(* (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)) (- 2.30753 (* x 0.27061)))
35.0ms	(* (+ 0.99229 (* x 0.04481)) x)
63.0ms	(* (- 2.30753 (* 0.27061 x)) (+ 2.30753 (* 0.27061 x)))
54.0ms	(/ (* (- 2.30753 (* 0.27061 x)) (+ 2.30753 (* 0.27061 x))) (* (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)) (- 2.30753 (* x 0.27061))))

series427.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(* (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)) (- 2.30753 (* x 0.27061)))
103.0ms	(* (+ 0.99229 (* x 0.04481)) x)
148.0ms	(* (- 2.30753 (* 0.27061 x)) (+ 2.30753 (* 0.27061 x)))
108.0ms	(/ (* (- 2.30753 (* 0.27061 x)) (+ 2.30753 (* 0.27061 x))) (* (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)) (- 2.30753 (* x 0.27061))))

simplify598.0ms

Counts

127 → 127

Iterations

Useful iterations: done (592.0ms)

Iter	Nodes	Cost
0	242	3112
1	830	3015
done	5000	2635

prune507.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite216.0ms

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-*l/` `associate-/r/` `flip--` `associate-/l/` `sqr-pow`
1×	`cbrt-undiv` `pow-to-exp` `pow-pow` `frac-2neg` `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 → 111

Calls

4 calls:

64.0ms	(pow (- x (/ (+ (* x 0.27061) 2.30753) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))) 3)
21.0ms	(* (+ 0.99229 (* x 0.04481)) x)
38.0ms	(/ (+ (* x 0.27061) 2.30753) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
87.0ms	(cbrt (pow (- x (/ (+ (* x 0.27061) 2.30753) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))) 3))

series490.0ms

Counts

4 → 12

Calls

4 calls:

166.0ms	(pow (- x (/ (+ (* x 0.27061) 2.30753) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))) 3)
117.0ms	(* (+ 0.99229 (* x 0.04481)) x)
90.0ms	(/ (+ (* x 0.27061) 2.30753) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
117.0ms	(cbrt (pow (- x (/ (+ (* x 0.27061) 2.30753) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))) 3))

simplify2.0s

Counts

123 → 123

Iterations

Useful iterations: 2 (570.0ms)

Iter	Nodes	Cost
0	219	3239
1	632	2954
2	3265	2664
done	5001	2664

prune455.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes23.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	19
1	25	19
done	25	19

end0.0ms

sample830.0ms

Algorithm

intervals

Results

641.0ms

8000×

body

valid