Details

sample16.0ms

Algorithm

intervals

Results

8.0ms

256×

body

valid

simplify6.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	11	11
2	12	11
done	12	11

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
0.0b	(/ x (+ x 1.0))
0.0b	(/ 1.0 (- x 1.0))

rewrite127.0ms

Algorithm

rewrite-expression-head

Rules

60×	`*-un-lft-identity`
35×	`times-frac`
30×	`add-sqr-sqrt`
22×	`add-cube-cbrt`
11×	`distribute-lft-out`
9×	`associate-/r*`
7×	`add-exp-log` `add-cbrt-cube`
6×	`associate-/l*` `distribute-lft-out--`
5×	`add-log-exp`
4×	`associate-/r/` `difference-of-squares`
3×	`pow1`
2×	`cbrt-undiv` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip-+` `div-inv`
1×	`+-commutative` `flip3--` `frac-add` `sum-log` `flip--`

Counts

3 → 87

Calls

3 calls:

82.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
13.0ms	(/ x (+ x 1.0))
28.0ms	(/ 1.0 (- x 1.0))

series212.0ms

Counts

3 → 9

Calls

3 calls:

141.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
42.0ms	(/ x (+ x 1.0))
29.0ms	(/ 1.0 (- x 1.0))

simplify856.0ms

Counts

96 → 96

Iterations

Useful iterations: 2 (325.0ms)

Iter	Nodes	Cost
0	169	1135
1	410	1064
2	1637	998
done	5002	998

prune270.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
0.0b	(/ 1.0 (- x 1.0))
0.0b	(/ x (+ x 1.0))
0.0b	(pow (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))) 3)

rewrite292.0ms

Algorithm

rewrite-expression-head

Rules

108×	`*-un-lft-identity`
51×	`times-frac`
34×	`add-sqr-sqrt`
26×	`add-cube-cbrt`
25×	`distribute-lft-out`
10×	`distribute-lft-out--`
9×	`add-exp-log` `associate-/r*` `add-cbrt-cube`
8×	`unpow-prod-down` `cube-prod`
6×	`associate-/l*` `add-log-exp`
5×	`pow1`
4×	`associate-/r/` `difference-of-squares`
3×	`cube-div` `pow-unpow` `flip3-+` `flip-+`
2×	`cbrt-undiv` `frac-2neg` `div-exp` `frac-add` `clear-num` `div-inv`
1×	`+-commutative` `cube-mult` `pow-to-exp` `flip3--` `pow-pow` `unpow3` `pow-exp` `sum-log` `flip--` `rem-cube-cbrt` `sqr-pow`

Counts

4 → 123

Calls

4 calls:

94.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
20.0ms	(/ 1.0 (- x 1.0))
21.0ms	(/ x (+ x 1.0))
151.0ms	(pow (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))) 3)

series462.0ms

Counts

4 → 12

Calls

4 calls:

153.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
39.0ms	(/ 1.0 (- x 1.0))
41.0ms	(/ x (+ x 1.0))
228.0ms	(pow (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))) 3)

simplify1.8s

Counts

135 → 135

Iterations

Useful iterations: 2 (565.0ms)

Iter	Nodes	Cost
0	209	1934
1	609	1750
2	2799	1636
done	5001	1636

prune477.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ x (+ x 1.0))
0.0b	(pow (+ (* (/ 1.0 (- (pow x 3) (pow 1.0 3))) (+ (* x x) (+ (* 1.0 1.0) (* x 1.0)))) (/ x (+ x 1.0))) 3)
0.3b	(/ 1.0 (- (pow x 3) (pow 1.0 3)))
18.8b	(* (/ 1.0 (- (pow x 3) (pow 1.0 3))) (+ (* x x) (+ (* 1.0 1.0) (* x 1.0))))

rewrite476.0ms

Algorithm

rewrite-expression-head

Rules

249×	`add-sqr-sqrt`
163×	`times-frac`
154×	`*-un-lft-identity`
112×	`difference-of-squares`
87×	`unpow-prod-down` `cube-prod`
81×	`associate-l`
76×	`add-cube-cbrt`
57×	`sqr-pow`
35×	`distribute-lft-out--`
29×	`associate-/r*`
14×	`add-exp-log` `add-cbrt-cube`
7×	`pow1` `difference-cubes` `cube-div`
6×	`flip3-+` `associate-/r/` `flip-+` `associate-/l*`
5×	`frac-add`
4×	`frac-times` `associate-*r/` `distribute-lft-out` `add-log-exp`
3×	`cbrt-undiv` `pow-unpow` `div-exp` `associate-r` `div-inv`
2×	`flip3--` `frac-2neg` `associate-*l/` `prod-exp` `clear-num` `flip--` `cbrt-unprod` `unswap-sqr`
1×	`distribute-rgt-in` `cube-mult` `pow-to-exp` `pow-pow` `distribute-lft-in` `unpow3` `pow-prod-down` `pow-exp` `*-commutative` `rem-cube-cbrt`

Counts

4 → 286

Calls

4 calls:

14.0ms	(/ x (+ x 1.0))
166.0ms	(pow (+ (* (/ 1.0 (- (pow x 3) (pow 1.0 3))) (+ (* x x) (+ (* 1.0 1.0) (* x 1.0)))) (/ x (+ x 1.0))) 3)
55.0ms	(/ 1.0 (- (pow x 3) (pow 1.0 3)))
212.0ms	(* (/ 1.0 (- (pow x 3) (pow 1.0 3))) (+ (* x x) (+ (* 1.0 1.0) (* x 1.0))))

series600.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(/ x (+ x 1.0))
373.0ms	(pow (+ (* (/ 1.0 (- (pow x 3) (pow 1.0 3))) (+ (* x x) (+ (* 1.0 1.0) (* x 1.0)))) (/ x (+ x 1.0))) 3)
120.0ms	(/ 1.0 (- (pow x 3) (pow 1.0 3)))
69.0ms	(* (/ 1.0 (- (pow x 3) (pow 1.0 3))) (+ (* x x) (+ (* 1.0 1.0) (* x 1.0))))

simplify957.0ms

Counts

298 → 298

Iterations

Useful iterations: done (932.0ms)

Iter	Nodes	Cost
0	421	7032
1	1604	6208
done	5000	5905

prune1.4s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes37.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	14
1	12	14
done	12	14

end0.0ms

sample579.0ms

Algorithm

intervals

Results

405.0ms

8000×

body

valid