Details

sample23.0ms

Algorithm

intervals

Results

10.0ms

256×

body

valid

simplify4.0ms

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

localize19.0ms

Local error

Found 1 expressions with local error:

15.3b

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

rewrite24.0ms

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:

22.0ms

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

series85.0ms

Counts

1 → 3

Calls

1 calls:

85.0ms

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

simplify1.2s

Counts

32 → 32

Iterations

Iter	Nodes
done	5000
2	783
1	183
0	74

prune151.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize26.0ms

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))))

rewrite1.3s

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`
13×	`pow2`
10×	`prod-exp` `cbrt-unprod`
9×	`add-log-exp`
7×	`cube-unmult` `pow3` `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:

44.0ms	(* (* x x) (* x x))
343.0ms	(/ x (+ (* (* (* x x) (* x x)) (* x x)) (* 1.0 (* 1.0 1.0))))
41.0ms	(+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0)))
817.0ms	(* (/ 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))))

series549.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(* (* x x) (* x x))
294.0ms	(/ x (+ (* (* (* x x) (* x x)) (* x x)) (* 1.0 (* 1.0 1.0))))
54.0ms	(+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0)))
156.0ms	(* (/ 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))))

simplify1.2s

Counts

166 → 166

Iterations

Iter	Nodes
done	5000
1	798
0	217

prune689.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* x x) x)
0.2b	(/ 1.0 (* (* x x) x))
0.3b	(/ 1.0 (pow x 5))
17.2b	(+ (/ 1.0 (pow x 5)) (- (/ 1 x) (/ 1.0 (* (* x x) x))))

rewrite196.0ms

Algorithm

rewrite-expression-head

Rules

30×	`*-un-lft-identity`
24×	`add-sqr-sqrt` `times-frac`
23×	`pow1` `add-exp-log` `add-cube-cbrt`
20×	`add-cbrt-cube`
12×	`unpow-prod-down`
9×	`add-log-exp`
8×	`associate-/r*`
6×	`pow-plus` `div-exp` `prod-exp` `pow-prod-up` `cbrt-unprod` `associate-/l*`
4×	`cbrt-undiv` `sqr-pow`
3×	`associate-r` `pow-prod-down` `frac-add` `div-inv` `distribute-lft-out`
2×	`pow2` `associate-+r+` `clear-num` `sum-log` `frac-2neg` `pow-sqr` `distribute-lft-out--`
1×	`pow-to-exp` `+-commutative` `associate-+r-` `sub-neg` `flip3-+` `flip3--` `diff-log` `associate-l` `pow3` `pow-exp` `*-commutative` `frac-sub` `flip-+` `flip--` `unswap-sqr`

Counts

4 → 117

Calls

4 calls:

15.0ms	(* (* x x) x)
28.0ms	(/ 1.0 (* (* x x) x))
6.0ms	(/ 1.0 (pow x 5))
144.0ms	(+ (/ 1.0 (pow x 5)) (- (/ 1 x) (/ 1.0 (* (* x x) x))))

series261.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(* (* x x) x)
50.0ms	(/ 1.0 (* (* x x) x))
90.0ms	(/ 1.0 (pow x 5))
74.0ms	(+ (/ 1.0 (pow x 5)) (- (/ 1 x) (/ 1.0 (* (* x x) x))))

simplify2.3s

Counts

129 → 129

Iterations

Iter	Nodes
done	5000
2	3733
1	528
0	193

prune474.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes51.0ms

Accuracy

100% (0.0b remaining)

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

bsearch91.0ms

Steps

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

simplify15.0ms

Iterations

Iter	Nodes
done	41
1	41
0	28

end0.0ms

sample823.0ms

Algorithm

intervals

Results

679.0ms

8000×

body

valid