Details

sample17.0ms

Algorithm

intervals

Results

10.0ms

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: 15.0b

localize21.0ms

Local error

Found 1 expressions with local error:

15.0b

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

rewrite21.0ms

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))

series70.0ms

Counts

1 → 3

Calls

1 calls:

70.0ms

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

simplify506.0ms

Counts

33 → 33

Iterations

Iter	Nodes
done	2001
2	562
1	163
0	69

prune153.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
2.7b	(/ (+ (* x x) 1) (cbrt x))
12.5b	(/ (* (cbrt x) (cbrt x)) (/ (+ (* x x) 1) (cbrt x)))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

76×	`times-frac`
47×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
36×	`cbrt-prod`
28×	`associate-/r*`
18×	`add-exp-log`
11×	`add-cbrt-cube`
7×	`cbrt-undiv` `div-exp`
4×	`pow1` `insert-posit16` `div-inv` `associate-/l*` `add-log-exp`
2×	`clear-num` `frac-2neg` `pow1/3` `prod-exp` `cbrt-unprod` `associate-/l/`
1×	`flip3-+` `associate-/r/` `flip-+`

Counts

4 → 131

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
27.0ms	(/ (+ (* x x) 1) (cbrt x))
22.0ms	(/ (* (cbrt x) (cbrt x)) (/ (+ (* x x) 1) (cbrt x)))

series1.3s

Counts

4 → 12

Calls

4 calls:

307.0ms	(cbrt x)
257.0ms	(cbrt x)
703.0ms	(/ (+ (* x x) 1) (cbrt x))
79.0ms	(/ (* (cbrt x) (cbrt x)) (/ (+ (* x x) 1) (cbrt x)))

simplify985.0ms

Counts

143 → 143

Iterations

Iter	Nodes
done	2000
2	1895
1	544
0	191

prune537.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize26.0ms

Local error

Found 3 expressions with local error:

0.1b	(* (* x x) (* x x))
2.6b	(/ x (+ (* (* x x) (* x x)) -1))
19.4b	(* (/ x (+ (* (* x x) (* x x)) -1)) (- (* x x) 1))

rewrite249.0ms

Algorithm

rewrite-expression-head

Rules

116×	`pow1`
36×	`pow-prod-up`
27×	`add-sqr-sqrt`
25×	`times-frac`
24×	`pow-prod-down`
22×	`*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `pow-sqr`
21×	`add-cube-cbrt`
19×	`associate-l`
18×	`pow-plus`
13×	`pow2`
10×	`prod-exp` `cbrt-unprod`
7×	`difference-of-sqr--1` `associate-r`
4×	`associate-/r*` `associate-/r/`
3×	`insert-posit16` `associate-/l*` `add-log-exp` `unswap-sqr`
2×	`distribute-rgt-in` `frac-times` `cbrt-undiv` `sub-neg` `distribute-lft-in` `flip3-+` `flip3--` `div-exp` `associate-r/` `-commutative` `flip-+` `div-inv` `flip--` `difference-of-squares`
1×	`clear-num` `frac-2neg` `difference-of-sqr-1` `swap-sqr` `associate-*l/`

Counts

3 → 147

Calls

3 calls:

26.0ms	(* (* x x) (* x x))
36.0ms	(/ x (+ (* (* x x) (* x x)) -1))
182.0ms	(* (/ x (+ (* (* x x) (* x x)) -1)) (- (* x x) 1))

series323.0ms

Counts

3 → 9

Calls

3 calls:

54.0ms	(* (* x x) (* x x))
133.0ms	(/ x (+ (* (* x x) (* x x)) -1))
134.0ms	(* (/ x (+ (* (* x x) (* x x)) -1)) (- (* x x) 1))

simplify692.0ms

Counts

156 → 156

Iterations

Iter	Nodes
done	2000
1	600
0	199

prune425.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (/ 1 x) (- (/ 1 (pow x 5)) (/ (/ 1 x) (* x x))))
0.1b	(/ 1 (pow x 5))
0.1b	(/ (/ 1 x) (* x x))
19.9b	(- (/ 1 (pow x 5)) (/ (/ 1 x) (* x x)))

rewrite165.0ms

Algorithm

rewrite-expression-head

Rules

111×	`times-frac`
101×	`add-sqr-sqrt`
67×	`*-un-lft-identity`
35×	`add-exp-log`
34×	`add-cube-cbrt`
28×	`difference-of-squares`
20×	`unpow-prod-down`
18×	`pow1` `add-cbrt-cube` `div-exp`
16×	`associate-/l*`
12×	`sqr-pow`
11×	`add-log-exp`
10×	`div-inv`
8×	`associate-/r*` `pow-div`
7×	`cbrt-undiv`
6×	`distribute-lft-out` `distribute-lft-out--`
5×	`rec-exp` `1-exp` `pow-flip` `inv-pow`
4×	`prod-exp` `insert-posit16`
3×	`pow-to-exp` `frac-add` `pow-exp`
2×	`pow2` `associate-+r+` `clear-num` `sum-log` `sub-neg` `frac-2neg` `pow-plus` `flip3--` `diff-log` `pow-sqr` `pow-prod-up` `frac-sub` `cbrt-unprod` `flip--`
1×	`+-commutative` `associate-+r-` `flip3-+` `flip-+` `associate-/l/`

Counts

4 → 182

Calls

4 calls:

92.0ms	(+ (/ 1 x) (- (/ 1 (pow x 5)) (/ (/ 1 x) (* x x))))
8.0ms	(/ 1 (pow x 5))
19.0ms	(/ (/ 1 x) (* x x))
41.0ms	(- (/ 1 (pow x 5)) (/ (/ 1 x) (* x x)))

series303.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(+ (/ 1 x) (- (/ 1 (pow x 5)) (/ (/ 1 x) (* x x))))
51.0ms	(/ 1 (pow x 5))
54.0ms	(/ (/ 1 x) (* x x))
136.0ms	(- (/ 1 (pow x 5)) (/ (/ 1 x) (* x x)))

simplify867.0ms

Counts

194 → 194

Iterations

Iter	Nodes
done	2002
2	1699
1	695
0	294

prune620.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes55.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 16.3b

bsearch95.0ms

Steps

Iters	Range		Point
11	0.0038666078177206752	9.350013159855062e+31	226367535.9280359
10	-121993772661.31783	-0.0015977726548224043	-7852.73119197666

simplify4.0ms

Iterations

Iter	Nodes
done	30
1	30
0	22

end0.0ms

sample566.0ms

Algorithm

intervals

Results

470.0ms

8000×

body

valid