Details

sample22.0ms

Algorithm

intervals

Results

10.0ms

256×

body

valid

simplify2.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	6
1	6
0	5

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.3b

localize6.0ms

Local error

Found 1 expressions with local error:

15.3b

(/ x (+ (* x x) 1.0))

rewrite11.0ms

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-+` `div-inv` `add-log-exp`

Counts

1 → 29

Calls

1 calls:

10.0ms

(/ x (+ (* x x) 1.0))

series82.0ms

Counts

1 → 3

Calls

1 calls:

82.0ms

(/ x (+ (* x x) 1.0))

simplify1.9s

Counts

32 → 32

Iterations

Iter	Nodes
done	5103
3	3419
2	697
1	183
0	74

prune113.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x x) (* x x))
1.7b	(/ x (+ (* (* x x) (* (* x x) (* x x))) (* 1.0 (* 1.0 1.0))))
13.0b	(+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0)))
26.0b	(* (/ x (+ (* (* x x) (* (* x x) (* x x))) (* 1.0 (* 1.0 1.0)))) (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0))))

rewrite1.0s

Algorithm

rewrite-expression-head

Rules

117×	`pow1`
36×	`pow-prod-up`
27×	`add-sqr-sqrt`
25×	`times-frac`
24×	`pow-prod-down`
23×	`add-cbrt-cube` `add-exp-log`
22×	`*-un-lft-identity` `pow-sqr` `add-cube-cbrt`
19×	`associate-l`
18×	`pow-plus`
14×	`cube-unmult`
13×	`pow2`
10×	`prod-exp` `cbrt-unprod`
9×	`add-log-exp`
7×	`sum-cubes`
5×	`flip3-+` `flip-+`
4×	`associate-/r` `associate-r*` `associate-/r/`
3×	`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 → 154

Calls

4 calls:

24.0ms	(* (* x x) (* x x))
233.0ms	(/ x (+ (* (* x x) (* (* x x) (* x x))) (* 1.0 (* 1.0 1.0))))
46.0ms	(+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0)))
694.0ms	(* (/ x (+ (* (* x x) (* (* x x) (* x x))) (* 1.0 (* 1.0 1.0)))) (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0))))

series533.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(* (* x x) (* x x))
253.0ms	(/ x (+ (* (* x x) (* (* x x) (* x x))) (* 1.0 (* 1.0 1.0))))
62.0ms	(+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0)))
167.0ms	(* (/ x (+ (* (* x x) (* (* x x) (* x x))) (* 1.0 (* 1.0 1.0)))) (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0))))

simplify3.5s

Counts

166 → 166

Iterations

Iter	Nodes
done	5009
2	4278
1	790
0	219

prune723.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (/ 1.0 (* x x)) x)
0.3b	(/ 1.0 (pow x 5))
0.7b	(/ 1.0 (* x x))
17.2b	(+ (- (/ 1 x) (/ (/ 1.0 (* x x)) x)) (/ 1.0 (pow x 5)))

rewrite327.0ms

Algorithm

rewrite-expression-head

Rules

60×	`times-frac`
51×	`*-un-lft-identity`
38×	`add-sqr-sqrt` `add-cube-cbrt`
23×	`add-exp-log`
20×	`add-cbrt-cube`
13×	`associate-/l*`
12×	`unpow-prod-down`
11×	`associate-/r*`
10×	`div-exp`
9×	`add-log-exp`
8×	`cbrt-undiv` `div-inv`
4×	`pow1` `frac-add` `distribute-lft-out` `sqr-pow`
3×	`clear-num` `frac-2neg` `distribute-lft-out--`
2×	`associate-+l+` `sum-log` `prod-exp` `cbrt-unprod`
1×	`pow-to-exp` `+-commutative` `sub-neg` `flip3-+` `flip3--` `diff-log` `pow-exp` `frac-sub` `associate-+l-` `flip-+` `flip--` `sub-div` `associate-/l/`

Counts

4 → 137

Calls

4 calls:

21.0ms	(/ (/ 1.0 (* x x)) x)
6.0ms	(/ 1.0 (pow x 5))
6.0ms	(/ 1.0 (* x x))
286.0ms	(+ (- (/ 1 x) (/ (/ 1.0 (* x x)) x)) (/ 1.0 (pow x 5)))

series254.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(/ (/ 1.0 (* x x)) x)
83.0ms	(/ 1.0 (pow x 5))
50.0ms	(/ 1.0 (* x x))
68.0ms	(+ (- (/ 1 x) (/ (/ 1.0 (* x x)) x)) (/ 1.0 (pow x 5)))

simplify1.5s

Counts

149 → 149

Iterations

Iter	Nodes
done	5012
2	2357
1	616
0	242

prune656.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes35.0ms

Accuracy

100% (0.0b remaining)

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

bsearch79.0ms

Steps

Iters	Range		Point
8	53640.016154094046	3378812226.2511864	1075528.262632116
8	-1.972074682316576e+16	-17239113253358.373	-256116492245931.84

simplify10.0ms

Iterations

Iter	Nodes
done	40
1	40
0	28

end0.0ms

sample409.0ms

Algorithm

intervals

Results

283.0ms

8000×

body

valid