Details

sample23.0ms

Algorithm

intervals

Results

12.0ms

256×

body

valid

simplify9.0ms

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

localize21.0ms

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))

rewrite131.0ms

Algorithm

rewrite-expression-head

Rules

75×	`*-un-lft-identity`
50×	`times-frac`
45×	`add-sqr-sqrt`
31×	`add-cube-cbrt`
21×	`fma-def`
11×	`distribute-lft-out`
9×	`associate-/r*` `distribute-lft-out--`
7×	`add-exp-log` `add-cbrt-cube` `difference-of-squares`
6×	`associate-/r/` `associate-/l*`
5×	`add-log-exp`
3×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `div-inv`
2×	`cbrt-undiv` `flip3--` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip--` `flip-+`
1×	`+-commutative` `frac-add` `sum-log`

Counts

3 → 114

Calls

3 calls:

86.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
19.0ms	(/ x (+ x 1.0))
18.0ms	(/ 1.0 (- x 1.0))

series265.0ms

Counts

3 → 9

Calls

3 calls:

171.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
47.0ms	(/ x (+ x 1.0))
47.0ms	(/ 1.0 (- x 1.0))

simplify1.3s

Counts

123 → 123

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	175	1183
1	431	1098
2	1752	1043
done	5001	1039

prune282.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize23.0ms

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)

rewrite266.0ms

Algorithm

rewrite-expression-head

Rules

123×	`*-un-lft-identity`
66×	`times-frac`
49×	`add-sqr-sqrt`
35×	`add-cube-cbrt`
25×	`distribute-lft-out`
21×	`fma-def`
13×	`distribute-lft-out--`
9×	`add-exp-log` `associate-/r*` `add-cbrt-cube`
8×	`unpow-prod-down` `cube-prod`
7×	`difference-of-squares`
6×	`associate-/r/` `associate-/l*` `add-log-exp`
5×	`pow1`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`cube-div` `pow-unpow` `flip3-+` `flip-+` `div-inv`
2×	`cbrt-undiv` `flip3--` `frac-2neg` `div-exp` `frac-add` `clear-num` `flip--`
1×	`+-commutative` `cube-mult` `pow-to-exp` `pow-pow` `unpow3` `pow-exp` `sum-log` `rem-cube-cbrt` `sqr-pow`

Counts

4 → 152

Calls

4 calls:

91.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
13.0ms	(/ 1.0 (- x 1.0))
11.0ms	(/ x (+ x 1.0))
144.0ms	(pow (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))) 3)

series463.0ms

Counts

4 → 12

Calls

4 calls:

158.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
31.0ms	(/ 1.0 (- x 1.0))
41.0ms	(/ x (+ x 1.0))
232.0ms	(pow (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))) 3)

simplify1.9s

Counts

164 → 164

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	217	2010
1	635	1804
2	2890	1705
done	5000	1701

prune461.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize36.0ms

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))))

rewrite793.0ms

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×	`expm1-log1p-u` `frac-times` `associate-*r/` `log1p-expm1-u` `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 → 294

Calls

4 calls:

13.0ms	(/ x (+ x 1.0))
476.0ms	(pow (+ (* (/ 1.0 (- (pow x 3) (pow 1.0 3))) (+ (* x x) (+ (* 1.0 1.0) (* x 1.0)))) (/ x (+ x 1.0))) 3)
67.0ms	(/ 1.0 (- (pow x 3) (pow 1.0 3)))
216.0ms	(* (/ 1.0 (- (pow x 3) (pow 1.0 3))) (+ (* x x) (+ (* 1.0 1.0) (* x 1.0))))

series570.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(/ x (+ x 1.0))
329.0ms	(pow (+ (* (/ 1.0 (- (pow x 3) (pow 1.0 3))) (+ (* x x) (+ (* 1.0 1.0) (* x 1.0)))) (/ x (+ x 1.0))) 3)
102.0ms	(/ 1.0 (- (pow x 3) (pow 1.0 3)))
96.0ms	(* (/ 1.0 (- (pow x 3) (pow 1.0 3))) (+ (* x x) (+ (* 1.0 1.0) (* x 1.0))))

simplify879.0ms

Counts

306 → 306

Iterations

Useful iterations: done (861.0ms)

Iter	Nodes	Cost
0	429	7168
1	1644	6120
done	5001	5790

prune1.3s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes34.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample591.0ms

Algorithm

intervals

Results

415.0ms

8000×

body

valid