Details

sample27.0ms

Algorithm

intervals

Results

14.0ms

256×

body

valid

simplify12.0ms

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

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite105.0ms

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	(/ 1.0 (- x 1.0))
11.0ms	(/ x (+ x 1.0))
77.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))

series231.0ms

Counts

3 → 9

Calls

3 calls:

41.0ms	(/ 1.0 (- x 1.0))
49.0ms	(/ x (+ x 1.0))
141.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))

simplify2.6s

Counts

123 → 123

Iterations

Useful iterations: done (2.6s)

Iter	Nodes	Cost
0	175	1183
1	399	1098
2	1016	1043
3	2289	1038
done	5001	1033

prune328.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize40.0ms

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)

rewrite797.0ms

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:

407.0ms	(* (/ x (+ x 1.0)) (- (/ x (+ x 1.0)) (/ 1.0 (- x 1.0))))
160.0ms	(- (/ x (+ x 1.0)) (/ 1.0 (- x 1.0)))
16.0ms	(pow (/ x (+ x 1.0)) 3)
35.0ms	(pow (/ 1.0 (- x 1.0)) 3)

series426.0ms

Counts

4 → 12

Calls

4 calls:

181.0ms	(* (/ x (+ x 1.0)) (- (/ x (+ x 1.0)) (/ 1.0 (- x 1.0))))
107.0ms	(- (/ x (+ x 1.0)) (/ 1.0 (- x 1.0)))
76.0ms	(pow (/ x (+ x 1.0)) 3)
63.0ms	(pow (/ 1.0 (- x 1.0)) 3)

simplify4.3s

Counts

1368 → 1368

Iterations

Useful iterations: done (4.1s)

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

prune2.6s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize30.0ms

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 3) (pow (- x 1.0) 3))

rewrite863.0ms

Algorithm

rewrite-expression-head

Rules

1940×	`*-un-lft-identity`
1831×	`times-frac`
1523×	`add-sqr-sqrt`
1134×	`prod-diff`
1118×	`add-cube-cbrt`
380×	`distribute-rgt-in` `distribute-lft-in`
244×	`associate-/r/`
205×	`distribute-lft-out`
202×	`distribute-lft-out--`
196×	`difference-of-squares`
134×	`unpow-prod-down` `cube-prod`
122×	`div-inv`
67×	`flip3-+` `flip-+`
58×	`flip3--` `flip--`
31×	`cube-mult` `unpow3` `sqr-pow`
24×	`add-exp-log`
18×	`fma-neg` `associate-l`
16×	`associate-/r*`
14×	`add-cbrt-cube`
12×	`associate-r` `associate-/l*`
11×	`div-exp`
8×	`pow-exp`
7×	`pow1` `pow-to-exp`
6×	`add-log-exp`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`cbrt-undiv` `cube-div` `frac-times` `sub-neg` `pow-unpow` `associate-*r/` `frac-sub`
2×	`prod-exp` `cbrt-unprod` `rem-cube-cbrt` `unswap-sqr`
1×	`pow-pow` `frac-2neg` `diff-log` `pow-prod-down` `associate-l/` `clear-num` `-commutative`

Counts

4 → 1536

Calls

4 calls:

426.0ms	(* (/ x (+ x 1.0)) (- (/ x (+ x 1.0)) (/ 1.0 (- x 1.0))))
111.0ms	(- (/ x (+ x 1.0)) (/ 1.0 (- x 1.0)))
26.0ms	(pow (/ x (+ x 1.0)) 3)
38.0ms	(/ (pow 1.0 3) (pow (- x 1.0) 3))

series490.0ms

Counts

4 → 12

Calls

4 calls:

192.0ms	(* (/ x (+ x 1.0)) (- (/ x (+ x 1.0)) (/ 1.0 (- x 1.0))))
124.0ms	(- (/ x (+ x 1.0)) (/ 1.0 (- x 1.0)))
78.0ms	(pow (/ x (+ x 1.0)) 3)
96.0ms	(/ (pow 1.0 3) (pow (- x 1.0) 3))

simplify4.4s

Counts

1548 → 1548

Iterations

Useful iterations: done (4.3s)

Iter	Nodes	Cost
0	1382	84887
1	3376	72004
done	5001	61903

prune3.5s

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	7	11
1	9	11
done	9	11

end0.0ms

sample1.1s

Algorithm

intervals

Results

908.0ms

8000×

body

valid