Details

sample16.0ms

Algorithm

intervals

Results

11.0ms

256×

body

valid

simplify2.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	8
1	8
0	5

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.3b

localize8.0ms

Local error

Found 1 expressions with local error:

14.3b

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

rewrite16.0ms

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:

16.0ms

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

series46.0ms

Counts

1 → 3

Calls

1 calls:

46.0ms

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

simplify2.9s

Counts

33 → 33

Iterations

Iter	Nodes
done	5008
4	4108
3	1750
2	525
1	163
0	69

prune128.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize28.0ms

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))))

rewrite393.0ms

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:

36.0ms	(* (* x x) (* x x))
6.0ms	(/ x (+ 1 (* (* x (* x x)) (* x (* x x)))))
64.0ms	(+ (* (* x x) (* x x)) (- (* 1 1) (* (* x x) 1)))
283.0ms	(* (/ x (+ 1 (* (* x (* x x)) (* x (* x x))))) (+ (* (* x x) (* x x)) (- (* 1 1) (* (* x x) 1))))

series517.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(* (* x x) (* x x))
257.0ms	(/ x (+ 1 (* (* x (* x x)) (* x (* x x)))))
60.0ms	(+ (* (* x x) (* x x)) (- (* 1 1) (* (* x x) 1)))
167.0ms	(* (/ x (+ 1 (* (* x (* x x)) (* x (* x x))))) (+ (* (* x x) (* x x)) (- (* 1 1) (* (* x x) 1))))

simplify2.3s

Counts

163 → 163

Iterations

Iter	Nodes
done	5000
2	3186
1	713
0	199

prune486.0ms

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 (* (* x (* x x)) (* x x)))
0.5b	(/ 1 (* x (* x x)))
21.5b	(+ (- (/ 1 x) (/ 1 (* x (* x x)))) (/ 1 (* (* x (* x x)) (* x x))))

rewrite299.0ms

Algorithm

rewrite-expression-head

Rules

116×	`pow1`
103×	`add-exp-log`
57×	`prod-exp`
55×	`pow-prod-up`
47×	`add-cbrt-cube`
35×	`pow-flip`
24×	`*-un-lft-identity`
21×	`pow-prod-down` `cbrt-unprod`
20×	`div-exp`
15×	`div-inv`
11×	`pow2` `pow-plus` `pow-sqr`
10×	`add-sqr-sqrt` `cbrt-undiv` `rec-exp` `1-exp` `distribute-lft-out`
9×	`add-cube-cbrt` `add-log-exp`
8×	`distribute-lft-out--`
6×	`times-frac` `cube-unmult` `associate-/l*`
4×	`insert-posit16`
3×	`associate-l` `frac-add`
2×	`associate-+l+` `clear-num` `associate-/r*` `sum-log` `frac-2neg` `inv-pow`
1×	`+-commutative` `sub-neg` `flip3-+` `flip3--` `diff-log` `associate-r` `*-commutative` `frac-sub` `associate-+l-` `flip-+` `flip--` `unswap-sqr`

Counts

4 → 167

Calls

4 calls:

15.0ms	(* x (* x x))
91.0ms	(/ 1 (* (* x (* x x)) (* x x)))
26.0ms	(/ 1 (* x (* x x)))
164.0ms	(+ (- (/ 1 x) (/ 1 (* x (* x x)))) (/ 1 (* (* x (* x x)) (* x x))))

series196.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(* x (* x x))
59.0ms	(/ 1 (* (* x (* x x)) (* x x)))
44.0ms	(/ 1 (* x (* x x)))
39.0ms	(+ (- (/ 1 x) (/ 1 (* x (* x x)))) (/ 1 (* (* x (* x x)) (* x x))))

simplify1.7s

Counts

179 → 179

Iterations

Iter	Nodes
done	5195
2	2276
1	643
0	220

prune311.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes48.0ms

Accuracy

100% (0.0b remaining)

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

bsearch74.0ms

Steps

Iters	Range		Point
7	57.56933376468871	1127.9279929291722	419.6688046932846
8	-1.5818200204534462e+25	-1.7813456337231705e+22	-7.706609531695333e+23

simplify13.0ms

Iterations

Iter	Nodes
done	41
2	41
1	38
0	25

end0.0ms

sample593.0ms

Algorithm

intervals

Results

496.0ms

8000×

body

valid