Details

sample15.0ms

Algorithm

intervals

Results

8.0ms

256×

body

valid

simplify17.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 3 expressions with local error:

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

12.0ms	(/ x (+ x 1.0))
89.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
22.0ms	(/ 1.0 (- x 1.0))

series301.0ms

Counts

3 → 9

Calls

3 calls:

54.0ms	(/ x (+ x 1.0))
202.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
45.0ms	(/ 1.0 (- x 1.0))

simplify2.4s

Counts

96 → 96

Iterations

Useful iterations: 3 (1.2s)

Iter	Nodes	Cost
0	169	1135
1	378	1064
2	927	998
3	1985	996
done	5001	996

prune274.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

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

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

Counts

4 → 121

Calls

4 calls:

11.0ms	(/ x (+ x 1.0))
161.0ms	(cbrt (pow (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))) 3))
91.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
23.0ms	(/ 1.0 (- x 1.0))

series393.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(/ x (+ x 1.0))
170.0ms	(cbrt (pow (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))) 3))
144.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
35.0ms	(/ 1.0 (- x 1.0))

simplify3.3s

Counts

133 → 133

Iterations

Useful iterations: 3 (1.5s)

Iter	Nodes	Cost
0	217	2030
1	496	1728
2	1363	1615
3	4971	1610
done	5000	1610

prune396.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* 1.0 (+ x 1.0)) (* (- x 1.0) x))
0.0b	(* (- x 1.0) x)
12.6b	(/ (+ (* 1.0 (+ x 1.0)) (* (- x 1.0) x)) (- (* x x) (* 1.0 1.0)))

rewrite143.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
16×	`*-un-lft-identity`
14×	`add-cube-cbrt`
12×	`times-frac`
10×	`associate-*l/`
8×	`associate-*r/` `frac-add`
7×	`add-exp-log` `add-cbrt-cube`
6×	`flip3--` `flip3-+` `flip--` `flip-+` `associate-/l/`
5×	`pow1` `associate-l` `add-log-exp` `difference-of-squares`
4×	`associate-/r*`
3×	`associate-r` `associate-/l*`
2×	`associate-+l+` `associate-/r/`
1×	`cbrt-undiv` `+-commutative` `distribute-rgt-in` `frac-2neg` `distribute-lft-in` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `sum-log` `*-commutative` `cbrt-unprod` `div-inv` `distribute-lft-out--` `unswap-sqr`

Counts

3 → 78

Calls

3 calls:

28.0ms	(+ (* 1.0 (+ x 1.0)) (* (- x 1.0) x))
43.0ms	(* (- x 1.0) x)
69.0ms	(/ (+ (* 1.0 (+ x 1.0)) (* (- x 1.0) x)) (- (* x x) (* 1.0 1.0)))

series230.0ms

Counts

3 → 9

Calls

3 calls:

60.0ms	(+ (* 1.0 (+ x 1.0)) (* (- x 1.0) x))
70.0ms	(* (- x 1.0) x)
99.0ms	(/ (+ (* 1.0 (+ x 1.0)) (* (- x 1.0) x)) (- (* x x) (* 1.0 1.0)))

simplify1.5s

Counts

87 → 87

Iterations

Useful iterations: 2 (421.0ms)

Iter	Nodes	Cost
0	168	1838
1	473	1771
2	2122	1643
done	5001	1643

prune286.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes22.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample718.0ms

Algorithm

intervals

Results

512.0ms

8000×

body

valid