Details

sample13.0ms

Algorithm

intervals

Results

6.0ms

256×

body

valid

simplify2.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.2b

localize4.0ms

Local error

Found 1 expressions with local error:

13.2b

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

rewrite17.0ms

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` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip-+` `div-inv` `add-log-exp`

Counts

1 → 29

Calls

1 calls:

15.0ms

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

series76.0ms

Counts

1 → 3

Calls

1 calls:

76.0ms

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

simplify756.0ms

Counts

32 → 32

Iterations

Useful iterations: done (755.0ms)

Iter	Nodes	Cost
0	74	428
1	183	415
2	802	377
done	5001	375

prune108.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x (pow x 3)) (* 1.0 1.0))
0.1b	(* x (pow x 3))
2.9b	(/ x (- (* x (pow x 3)) (* 1.0 1.0)))
18.8b	(* (/ x (- (* x (pow x 3)) (* 1.0 1.0))) (- (* x x) 1.0))

rewrite160.0ms

Algorithm

rewrite-expression-head

Rules

37×	`add-sqr-sqrt`
24×	`add-cube-cbrt` `*-un-lft-identity`
19×	`times-frac`
18×	`associate-l`
16×	`add-exp-log` `associate-r`
13×	`add-cbrt-cube`
7×	`pow1`
6×	`add-log-exp` `unswap-sqr`
5×	`flip3--` `prod-exp` `flip--`
4×	`unpow-prod-down` `cube-prod` `associate-/r/`
3×	`sub-neg` `associate-/r` `cbrt-unprod` `associate-/l`
2×	`cbrt-undiv` `distribute-rgt-in` `frac-times` `distribute-lft-in` `associate-r/` `div-exp` `-commutative` `div-inv` `sqr-pow`
1×	`cube-mult` `pow-to-exp` `frac-2neg` `diff-log` `unpow3` `pow-prod-down` `associate-*l/` `pow-exp` `clear-num` `pow-prod-up` `difference-of-squares`

Counts

4 → 116

Calls

4 calls:

10.0ms	(- (* x (pow x 3)) (* 1.0 1.0))
14.0ms	(* x (pow x 3))
23.0ms	(/ x (- (* x (pow x 3)) (* 1.0 1.0)))
107.0ms	(* (/ x (- (* x (pow x 3)) (* 1.0 1.0))) (- (* x x) 1.0))

series515.0ms

Counts

4 → 12

Calls

4 calls:

100.0ms	(- (* x (pow x 3)) (* 1.0 1.0))
47.0ms	(* x (pow x 3))
204.0ms	(/ x (- (* x (pow x 3)) (* 1.0 1.0)))
164.0ms	(* (/ x (- (* x (pow x 3)) (* 1.0 1.0))) (- (* x x) 1.0))

simplify3.0s

Counts

128 → 128

Iterations

Useful iterations: done (3.0s)

Iter	Nodes	Cost
0	200	2136
1	581	2032
2	3619	1808
done	5001	1574

prune517.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (/ 1 x) (/ 1.0 (pow x 5)))
0.2b	(/ 1.0 (pow x 5))
0.3b	(/ 1.0 (pow x 3))
19.3b	(- (+ (/ 1 x) (/ 1.0 (pow x 5))) (/ 1.0 (pow x 3)))

rewrite588.0ms

Algorithm

rewrite-expression-head

Rules

66×	`times-frac`
65×	`*-un-lft-identity`
58×	`add-sqr-sqrt`
45×	`add-cube-cbrt`
25×	`unpow-prod-down`
19×	`associate-/r*`
14×	`add-exp-log`
13×	`cube-prod`
11×	`add-log-exp`
9×	`sqr-pow`
8×	`add-cbrt-cube`
6×	`div-exp` `distribute-lft-out` `associate-/l*`
5×	`difference-of-squares`
4×	`pow1` `cube-mult` `unpow3` `div-inv` `distribute-lft-out--`
3×	`frac-sub`
2×	`cbrt-undiv` `pow-to-exp` `frac-2neg` `flip3-+` `diff-log` `frac-add` `pow-exp` `clear-num` `sum-log` `flip-+`
1×	`+-commutative` `sub-neg` `flip3--` `associate--l+` `flip--`

Counts

4 → 151

Calls

4 calls:

54.0ms	(+ (/ 1 x) (/ 1.0 (pow x 5)))
8.0ms	(/ 1.0 (pow x 5))
13.0ms	(/ 1.0 (pow x 3))
507.0ms	(- (+ (/ 1 x) (/ 1.0 (pow x 5))) (/ 1.0 (pow x 3)))

series380.0ms

Counts

4 → 12

Calls

4 calls:

152.0ms	(+ (/ 1 x) (/ 1.0 (pow x 5)))
102.0ms	(/ 1.0 (pow x 5))
67.0ms	(/ 1.0 (pow x 3))
58.0ms	(- (+ (/ 1 x) (/ 1.0 (pow x 5))) (/ 1.0 (pow x 3)))

simplify1.5s

Counts

163 → 163

Iterations

Useful iterations: 2 (574.0ms)

Iter	Nodes	Cost
0	229	2276
1	519	2013
2	2733	1939
done	5001	1939

prune468.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes23.0ms

Accuracy

99.9% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 24.1b

bsearch117.0ms

Steps

Iters	Range		Point
10	15.006088268796836	293663098603.6372	409.757310106414
8	-6.414151270997442e+70	-1.8658848150446482e+68	-7.923926095867654e+69

simplify4.0ms

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	25	55
1	33	41
done	33	41

end0.0ms

sample453.0ms

Algorithm

intervals

Results

290.0ms

8000×

body

valid