Details

sample20.0ms

Algorithm

intervals

Results

11.0ms

256×

body

valid

simplify5.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	8
1	8
0	5

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.3b

localize16.0ms

Local error

Found 1 expressions with local error:

14.3b

(/ x (+ (* x x) 1))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt` `*-un-lft-identity` `times-frac` `add-cube-cbrt`
3×	`associate-/r` `add-cbrt-cube` `add-exp-log` `associate-/l`
2×	`associate-/r/`
1×	`pow1` `cbrt-undiv` `clear-num` `frac-2neg` `flip3-+` `div-exp` `flip-+` `insert-posit16` `div-inv` `add-log-exp`

Counts

1 → 30

Calls

1 calls:

20.0ms

(/ x (+ (* x x) 1))

series79.0ms

Counts

1 → 3

Calls

1 calls:

79.0ms

(/ x (+ (* x x) 1))

simplify1.8s

Counts

33 → 33

Iterations

Iter	Nodes
done	5003
3	2410
2	562
1	163
0	69

prune171.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize60.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* x x) (* x x))
0.8b	(/ x (+ 1 (* (* x x) (* (* x x) (* x x)))))
12.2b	(+ (* (* x x) (* x x)) (- (* 1 1) (* (* x x) 1)))
22.9b	(* (/ x (+ 1 (* (* x x) (* (* x x) (* x x))))) (+ (* (* x x) (* x x)) (- (* 1 1) (* (* x x) 1))))

rewrite433.0ms

Algorithm

rewrite-expression-head

Rules

117×	`pow1`
36×	`pow-prod-up`
25×	`add-sqr-sqrt`
24×	`pow-prod-down`
23×	`add-cbrt-cube` `add-exp-log`
22×	`pow-sqr`
20×	`*-un-lft-identity` `add-cube-cbrt`
19×	`times-frac`
18×	`pow-plus`
16×	`associate-l`
13×	`pow2`
10×	`prod-exp` `cbrt-unprod`
9×	`add-log-exp`
5×	`flip3-+` `flip-+`
4×	`associate-r` `associate-/r/` `insert-posit16`
3×	`associate-/r` `associate-/l` `unswap-sqr`
2×	`frac-times` `cbrt-undiv` `associate-+r+` `sum-log` `div-exp` `associate-r/` `-commutative` `div-inv`
1×	`distribute-rgt-in` `+-commutative` `clear-num` `associate-+r-` `sub-neg` `frac-2neg` `distribute-lft-in` `diff-log` `swap-sqr` `associate-*l/`

Counts

4 → 151

Calls

4 calls:

41.0ms	(* (* x x) (* x x))
8.0ms	(/ x (+ 1 (* (* x x) (* (* x x) (* x x)))))
48.0ms	(+ (* (* x x) (* x x)) (- (* 1 1) (* (* x x) 1)))
331.0ms	(* (/ x (+ 1 (* (* x x) (* (* x x) (* x x))))) (+ (* (* x x) (* x x)) (- (* 1 1) (* (* x x) 1))))

series515.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(* (* x x) (* x x))
279.0ms	(/ x (+ 1 (* (* x x) (* (* x x) (* x x)))))
70.0ms	(+ (* (* x x) (* x x)) (- (* 1 1) (* (* x x) 1)))
127.0ms	(* (/ x (+ 1 (* (* x x) (* (* x x) (* x x))))) (+ (* (* x x) (* x x)) (- (* 1 1) (* (* x x) 1))))

simplify2.0s

Counts

163 → 163

Iterations

Iter	Nodes
done	5061
2	3015
1	715
0	199

prune595.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.1b	(* x (* x x))
0.1b	(/ 1 (pow x 5))
0.5b	(/ 1 (* x (* x x)))
21.5b	(+ (- (/ 1 x) (/ 1 (* x (* x x)))) (/ 1 (pow x 5)))

rewrite303.0ms

Algorithm

rewrite-expression-head

Rules

39×	`add-exp-log`
38×	`*-un-lft-identity`
33×	`pow1`
24×	`add-sqr-sqrt` `times-frac`
23×	`add-cube-cbrt`
20×	`add-cbrt-cube`
15×	`div-inv`
12×	`unpow-prod-down` `div-exp` `prod-exp`
10×	`pow-prod-up` `distribute-lft-out`
9×	`pow-flip` `add-log-exp`
8×	`associate-/r*` `distribute-lft-out--`
6×	`rec-exp` `1-exp` `pow-prod-down` `cbrt-unprod` `associate-/l*`
4×	`cbrt-undiv` `insert-posit16` `sqr-pow`
3×	`pow-to-exp` `associate-l` `frac-add` `pow-exp`
2×	`pow2` `associate-+l+` `clear-num` `sum-log` `frac-2neg` `pow-plus` `cube-unmult` `pow-sqr` `inv-pow`
1×	`+-commutative` `sub-neg` `flip3-+` `flip3--` `diff-log` `associate-r` `*-commutative` `frac-sub` `associate-+l-` `flip-+` `flip--` `unswap-sqr`

Counts

4 → 147

Calls

4 calls:

28.0ms	(* x (* x x))
12.0ms	(/ 1 (pow x 5))
41.0ms	(/ 1 (* x (* x x)))
219.0ms	(+ (- (/ 1 x) (/ 1 (* x (* x x)))) (/ 1 (pow x 5)))

series216.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(* x (* x x))
72.0ms	(/ 1 (pow x 5))
40.0ms	(/ 1 (* x (* x x)))
50.0ms	(+ (- (/ 1 x) (/ 1 (* x (* x x)))) (/ 1 (pow x 5)))

simplify1.4s

Counts

159 → 159

Iterations

Iter	Nodes
done	5051
2	1928
1	520
0	203

prune440.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes52.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 26.6b

bsearch92.0ms

Steps

Iters	Range		Point
7	57.56933376468871	1127.9279929291722	471.29821069866506
8	-29345360.474346694	-7508.589471958369	-597812.2530236238

simplify6.0ms

Iterations

Iter	Nodes
done	39
1	39
0	26

end0.0ms

sample482.0ms

Algorithm

intervals

Results

370.0ms

8000×

body

valid