Details

sample13.0ms

Algorithm

intervals

Results

6.0ms

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

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

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))

rewrite100.0ms

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:

11.0ms	(/ x (+ x 1.0))
72.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
11.0ms	(/ 1.0 (- x 1.0))

series188.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(/ x (+ x 1.0))
122.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
28.0ms	(/ 1.0 (- x 1.0))

simplify1.7s

Counts

123 → 123

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	175	1183
1	399	1098
2	1020	1043
3	2298	1038
done	5000	1033

prune216.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite295.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 153

Calls

4 calls:

68.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
108.0ms	(pow (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))) 3)
101.0ms	(cbrt (pow (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))) 3))
11.0ms	(/ 1.0 (- x 1.0))

series454.0ms

Counts

4 → 12

Calls

4 calls:

117.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
175.0ms	(pow (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))) 3)
136.0ms	(cbrt (pow (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))) 3))
26.0ms	(/ 1.0 (- x 1.0))

simplify970.0ms

Counts

165 → 165

Iterations

Useful iterations: done (965.0ms)

Iter	Nodes	Cost
0	200	2557
1	486	2162
2	1436	2005
done	5001	1998

prune299.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite587.0ms

Algorithm

rewrite-expression-head

Rules

1829×	`*-un-lft-identity`
1669×	`times-frac`
1412×	`add-sqr-sqrt`
1134×	`prod-diff`
1047×	`add-cube-cbrt`
380×	`distribute-rgt-in` `distribute-lft-in`
246×	`associate-/r/`
205×	`distribute-lft-out`
182×	`distribute-lft-out--`
176×	`difference-of-squares`
123×	`div-inv`
67×	`flip3-+` `flip-+`
59×	`flip3--` `flip--`
39×	`unpow-prod-down` `cube-prod`
18×	`fma-neg` `associate-l`
15×	`add-exp-log` `add-cbrt-cube`
12×	`associate-r`
8×	`pow1`
6×	`pow-unpow` `add-log-exp`
4×	`expm1-log1p-u` `pow-exp` `log1p-expm1-u` `rem-cube-cbrt`
3×	`cbrt-undiv` `frac-times` `sub-neg` `associate-*r/` `div-exp` `frac-sub`
2×	`cube-div` `cube-mult` `pow-to-exp` `pow-pow` `unpow3` `prod-exp` `cbrt-unprod` `unswap-sqr` `sqr-pow`
1×	`diff-log` `pow-prod-down` `associate-l/` `-commutative`

Counts

4 → 1356

Calls

4 calls:

310.0ms	(* (/ x (+ x 1.0)) (- (/ x (+ x 1.0)) (/ 1.0 (- x 1.0))))
99.0ms	(- (/ x (+ x 1.0)) (/ 1.0 (- x 1.0)))
13.0ms	(pow (/ x (+ x 1.0)) 3)
14.0ms	(pow (/ 1.0 (- x 1.0)) 3)

series306.0ms

Counts

4 → 12

Calls

4 calls:

115.0ms	(* (/ x (+ x 1.0)) (- (/ x (+ x 1.0)) (/ 1.0 (- x 1.0))))
89.0ms	(- (/ x (+ x 1.0)) (/ 1.0 (- x 1.0)))
57.0ms	(pow (/ x (+ x 1.0)) 3)
46.0ms	(pow (/ 1.0 (- x 1.0)) 3)

simplify3.2s

Counts

1368 → 1368

Iterations

Useful iterations: done (3.1s)

Iter	Nodes	Cost
0	1234	81112
1	3257	68793
done	5000	62646

prune1.9s

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

sample290.0ms

Algorithm

intervals

Results

181.0ms

8000×

body

valid