Details

sample12.0ms

Algorithm

intervals

Results

6.0ms

256×

body

valid

simplify2.0ms

Counts

1 → 1

Iterations

Useful iterations: 1 (1.0ms)

Iter	Nodes	Cost
0	5	7
1	7	6
done	7	6

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.2b

localize4.0ms

Local error

Found 1 expressions with local error:

12.2b

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

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `times-frac`
3×	`add-exp-log` `associate-/r` `add-cbrt-cube` `associate-/l`
2×	`associate-/r/`
1×	`pow1` `cbrt-undiv` `expm1-log1p-u` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip-+` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 31

Calls

1 calls:

16.0ms

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

series94.0ms

Counts

1 → 3

Calls

1 calls:

94.0ms

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

simplify2.5s

Counts

34 → 34

Iterations

Useful iterations: 2 (118.0ms)

Iter	Nodes	Cost
0	76	444
1	173	384
2	462	350
3	1120	350
4	3306	350
done	5000	350

prune90.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* x x) (* x x))
0.7b	(/ x (+ (pow x 6) (pow 1.0 3)))
10.4b	(+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0)))
23.0b	(* (/ x (+ (pow x 6) (pow 1.0 3))) (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0))))

rewrite451.0ms

Algorithm

rewrite-expression-head

Rules

117×	`pow1`
36×	`*-un-lft-identity` `pow-prod-up`
27×	`add-sqr-sqrt`
25×	`times-frac`
24×	`pow-prod-down`
23×	`add-exp-log` `add-cbrt-cube`
22×	`add-cube-cbrt` `pow-sqr`
19×	`associate-l`
18×	`pow-plus`
13×	`pow2`
10×	`prod-exp` `cbrt-unprod`
9×	`add-log-exp`
7×	`distribute-lft-out`
5×	`flip3-+` `flip-+`
4×	`expm1-log1p-u` `associate-r` `associate-/r*` `associate-/r/` `log1p-expm1-u`
3×	`associate-+r+` `associate-/l*` `unswap-sqr`
2×	`cbrt-undiv` `frac-times` `associate-r/` `div-exp` `sum-log` `-commutative` `div-inv`
1×	`+-commutative` `distribute-rgt-in` `associate-+r-` `sub-neg` `fma-def` `frac-2neg` `distribute-lft-in` `diff-log` `swap-sqr` `prod-diff` `associate-*l/` `clear-num`

Counts

4 → 164

Calls

4 calls:

61.0ms	(* (* x x) (* x x))
36.0ms	(/ x (+ (pow x 6) (pow 1.0 3)))
60.0ms	(+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0)))
281.0ms	(* (/ x (+ (pow x 6) (pow 1.0 3))) (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0))))

series657.0ms

Counts

4 → 12

Calls

4 calls:

69.0ms	(* (* x x) (* x x))
353.0ms	(/ x (+ (pow x 6) (pow 1.0 3)))
66.0ms	(+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0)))
169.0ms	(* (/ x (+ (pow x 6) (pow 1.0 3))) (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0))))

simplify2.1s

Counts

176 → 176

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	221	3181
1	672	2304
2	2683	2016
done	5002	2014

prune636.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ 1 x) (/ 1.0 (pow x 3)))
0.1b	(/ 1.0 (pow x 5))
0.4b	(/ 1.0 (pow x 3))
19.9b	(+ (/ 1.0 (pow x 5)) (- (/ 1 x) (/ 1.0 (pow x 3))))

rewrite1.1s

Algorithm

rewrite-expression-head

Rules

1770×	`times-frac`
1242×	`add-sqr-sqrt`
1223×	`*-un-lft-identity`
1198×	`add-cube-cbrt`
1040×	`prod-diff`
522×	`associate-+r+`
270×	`unpow-prod-down`
249×	`cube-prod`
112×	`div-inv`
92×	`sqr-pow`
82×	`cube-mult` `unpow3`
25×	`fma-def`
19×	`associate-/r*`
15×	`difference-of-squares`
14×	`add-exp-log`
13×	`fma-neg`
11×	`add-log-exp`
8×	`add-cbrt-cube`
6×	`div-exp` `associate-/l*` `distribute-lft-out--`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `distribute-lft-out`
3×	`frac-add`
2×	`cbrt-undiv` `pow-to-exp` `sub-neg` `flip3--` `frac-2neg` `diff-log` `pow-exp` `clear-num` `sum-log` `frac-sub` `flip--`
1×	`+-commutative` `associate-+r-` `flip3-+` `flip-+`

Counts

4 → 1249

Calls

4 calls:

112.0ms	(- (/ 1 x) (/ 1.0 (pow x 3)))
9.0ms	(/ 1.0 (pow x 5))
9.0ms	(/ 1.0 (pow x 3))
331.0ms	(+ (/ 1.0 (pow x 5)) (- (/ 1 x) (/ 1.0 (pow x 3))))

series287.0ms

Counts

4 → 12

Calls

4 calls:

111.0ms	(- (/ 1 x) (/ 1.0 (pow x 3)))
52.0ms	(/ 1.0 (pow x 5))
58.0ms	(/ 1.0 (pow x 3))
65.0ms	(+ (/ 1.0 (pow x 5)) (- (/ 1 x) (/ 1.0 (pow x 3))))

simplify2.9s

Counts

1261 → 1261

Iterations

Useful iterations: done (2.8s)

Iter	Nodes	Cost
0	1137	49036
1	2236	39328
2	4207	26383
done	5000	26381

prune1.9s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes46.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 26.3b

bsearch54.0ms

Steps

Iters	Range		Point
7	5729.342694487068	155261.42542439743	29660.814741280617
4	-56513505501200.5	-30636816361710.875	-34915225796078.01

simplify11.0ms

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	30	65
1	40	51
done	40	51

end0.0ms

sample511.0ms

Algorithm

intervals

Results

327.0ms

8000×

body

valid