Details

sample24.0ms

Algorithm

intervals

Results

12.0ms

256×

body

valid

simplify10.0ms

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

localize13.0ms

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))

rewrite177.0ms

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:

13.0ms	(/ x (+ x 1.0))
136.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
21.0ms	(/ 1.0 (- x 1.0))

series276.0ms

Counts

3 → 9

Calls

3 calls:

54.0ms	(/ x (+ x 1.0))
177.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
44.0ms	(/ 1.0 (- x 1.0))

simplify2.8s

Counts

123 → 123

Iterations

Useful iterations: done (2.8s)

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

prune321.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ x (+ x 1.0))
0.0b	(fma (/ 1.0 (- (* x x) (* 1.0 1.0))) (+ x 1.0) (/ x (+ x 1.0)))
0.5b	(/ 1.0 (- (* x x) (* 1.0 1.0)))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

29×	`*-un-lft-identity`
24×	`times-frac`
21×	`add-sqr-sqrt` `add-cube-cbrt`
8×	`associate-/r*`
7×	`add-exp-log` `add-cbrt-cube`
6×	`associate-/l*`
4×	`associate-/r/` `distribute-lft-out` `difference-of-squares`
3×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv`
1×	`flip3--` `flip3-+` `flip--` `flip-+` `fma-udef`

Counts

3 → 80

Calls

3 calls:

21.0ms	(/ x (+ x 1.0))
1.0ms	(fma (/ 1.0 (- (* x x) (* 1.0 1.0))) (+ x 1.0) (/ x (+ x 1.0)))
36.0ms	(/ 1.0 (- (* x x) (* 1.0 1.0)))

series269.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(/ x (+ x 1.0))
148.0ms	(fma (/ 1.0 (- (* x x) (* 1.0 1.0))) (+ x 1.0) (/ x (+ x 1.0)))
82.0ms	(/ 1.0 (- (* x x) (* 1.0 1.0)))

simplify2.5s

Counts

89 → 89

Iterations

Useful iterations: done (2.5s)

Iter	Nodes	Cost
0	169	1252
1	371	1196
2	1035	1087
3	3221	1066
done	5001	1063

prune300.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ x (+ x 1.0))
0.0b	(cbrt (pow (+ (/ (+ x 1.0) (- (/ (* x x) 1.0) 1.0)) (/ x (+ x 1.0))) 3))
0.0b	(+ (/ (+ x 1.0) (- (/ (* x x) 1.0) 1.0)) (/ x (+ x 1.0)))
12.2b	(/ (+ x 1.0) (- (/ (* x x) 1.0) 1.0))

rewrite703.0ms

Algorithm

rewrite-expression-head

Rules

229×	`*-un-lft-identity`
117×	`times-frac`
75×	`add-sqr-sqrt`
68×	`distribute-lft-out`
39×	`add-cube-cbrt`
30×	`cbrt-prod` `fma-def`
21×	`distribute-lft-out--`
18×	`difference-of-squares`
12×	`unpow-prod-down` `cube-prod`
10×	`associate-/r*`
8×	`add-exp-log` `add-cbrt-cube`
7×	`associate-/l*`
6×	`associate-/r/` `add-log-exp`
4×	`pow1` `expm1-log1p-u` `flip3-+` `flip-+` `log1p-expm1-u`
3×	`cube-div` `cbrt-div` `div-inv`
2×	`cbrt-undiv` `flip3--` `frac-2neg` `div-exp` `frac-add` `clear-num` `flip--` `associate-/l/`
1×	`+-commutative` `cube-mult` `pow1/3` `unpow3` `sum-log` `rem-cbrt-cube` `sqr-pow`

Counts

4 → 184

Calls

4 calls:

24.0ms	(/ x (+ x 1.0))
334.0ms	(cbrt (pow (+ (/ (+ x 1.0) (- (/ (* x x) 1.0) 1.0)) (/ x (+ x 1.0))) 3))
252.0ms	(+ (/ (+ x 1.0) (- (/ (* x x) 1.0) 1.0)) (/ x (+ x 1.0)))
71.0ms	(/ (+ x 1.0) (- (/ (* x x) 1.0) 1.0))

series629.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(/ x (+ x 1.0))
212.0ms	(cbrt (pow (+ (/ (+ x 1.0) (- (/ (* x x) 1.0) 1.0)) (/ x (+ x 1.0))) 3))
306.0ms	(+ (/ (+ x 1.0) (- (/ (* x x) 1.0) 1.0)) (/ x (+ x 1.0)))
68.0ms	(/ (+ x 1.0) (- (/ (* x x) 1.0) 1.0))

simplify1.6s

Counts

196 → 196

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	231	3470
1	551	3035
2	1638	2874
done	5001	2855

prune689.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes14.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	20
1	14	20
done	14	20

end0.0ms

sample630.0ms

Algorithm

intervals

Results

440.0ms

8000×

body

valid