Details

sample31.0ms

Algorithm

intervals

Results

16.0ms

256×

body

valid

simplify9.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	9
2	9
1	8
0	5

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 1 expressions with local error:

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

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

34×	`*-un-lft-identity`
22×	`add-sqr-sqrt`
20×	`times-frac`
12×	`add-cube-cbrt`
6×	`distribute-lft-out`
5×	`associate-/r*` `distribute-lft-out--` `difference-of-squares`
4×	`associate-/l*`
3×	`add-exp-log` `add-cbrt-cube`
2×	`associate-/r/` `associate-/l/`
1×	`pow1` `cbrt-undiv` `expm1-log1p-u` `flip3--` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip--` `flip-+` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 47

Calls

1 calls:

66.0ms

(/ (+ x 1.0) (- 1.0 x))

series286.0ms

Counts

1 → 3

Calls

1 calls:

285.0ms

(/ (+ x 1.0) (- 1.0 x))

simplify8.3s

Counts

50 → 50

Iterations

Iter	Nodes
done	5006
3	1858
2	589
1	221
0	93

prune377.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize35.0ms

Local error

Found 4 expressions with local error:

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

rewrite541.0ms

Algorithm

rewrite-expression-head

Rules

284×	`*-un-lft-identity`
168×	`times-frac`
146×	`add-sqr-sqrt`
74×	`add-cube-cbrt`
50×	`distribute-lft-out`
48×	`swap-sqr`
42×	`distribute-lft-out--`
30×	`difference-of-squares`
26×	`associate-r` `associate-l`
20×	`add-exp-log` `add-cbrt-cube`
12×	`associate-/r/`
11×	`pow1`
10×	`associate-/r*`
8×	`associate-/l*`
7×	`cbrt-div`
6×	`cbrt-undiv` `frac-times` `flip3--` `div-exp` `associate-*l/` `flip--` `div-inv`
4×	`expm1-log1p-u` `associate-*r/` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `associate-/l/` `add-log-exp` `unswap-sqr`
2×	`frac-2neg` `flip3-+` `clear-num` `flip-+`
1×	`cbrt-prod` `pow2` `pow-plus` `pow1/3` `pow3` `pow-prod-down` `pow-sqr` `*-commutative` `pow-prod-up` `rem-cbrt-cube`

Counts

4 → 243

Calls

4 calls:

48.0ms	(/ (+ x 1.0) (- 1.0 x))
55.0ms	(/ (+ x 1.0) (- 1.0 x))
229.0ms	(cbrt (* (* (/ (+ x 1.0) (- 1.0 x)) (/ (+ x 1.0) (- 1.0 x))) (/ (+ x 1.0) (- 1.0 x))))
180.0ms	(* (/ (+ x 1.0) (- 1.0 x)) (/ (+ x 1.0) (- 1.0 x)))

series1.3s

Counts

4 → 12

Calls

4 calls:

105.0ms	(/ (+ x 1.0) (- 1.0 x))
488.0ms	(/ (+ x 1.0) (- 1.0 x))
75.0ms	(cbrt (* (* (/ (+ x 1.0) (- 1.0 x)) (/ (+ x 1.0) (- 1.0 x))) (/ (+ x 1.0) (- 1.0 x))))
576.0ms	(* (/ (+ x 1.0) (- 1.0 x)) (/ (+ x 1.0) (- 1.0 x)))

simplify7.2s

Counts

255 → 255

Iterations

Iter	Nodes
done	5001
2	2344
1	738
0	218

prune1.6s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize69.0ms

Local error

Found 3 expressions with local error:

0.0b	(* x (- x 1.0))
0.0b	(* (fma 1.0 1.0 (* x (- x 1.0))) (- 1.0 x))
22.7b	(/ (+ (pow x 3) (pow 1.0 3)) (* (fma 1.0 1.0 (* x (- x 1.0))) (- 1.0 x)))

rewrite838.0ms

Algorithm

rewrite-expression-head

Rules

57×	`*-un-lft-identity`
41×	`add-sqr-sqrt`
36×	`prod-diff`
33×	`add-cube-cbrt`
22×	`distribute-rgt-in` `distribute-lft-in`
12×	`add-exp-log` `add-cbrt-cube`
10×	`associate-r` `distribute-lft-out`
9×	`times-frac` `associate-/l*`
8×	`unpow-prod-down` `cube-prod`
7×	`pow1`
6×	`associate-r/` `associate-l*`
4×	`sub-neg`
3×	`expm1-log1p-u` `flip3--` `prod-exp` `flip--` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-/r/` `sum-cubes` `*-commutative` `associate-/l/` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
1×	`frac-2neg` `flip3-+` `clear-num` `associate-/r*` `flip-+` `div-inv`

Counts

3 → 131

Calls

3 calls:

129.0ms	(* x (- x 1.0))
91.0ms	(* (fma 1.0 1.0 (* x (- x 1.0))) (- 1.0 x))
607.0ms	(/ (+ (pow x 3) (pow 1.0 3)) (* (fma 1.0 1.0 (* x (- x 1.0))) (- 1.0 x)))

series353.0ms

Counts

3 → 9

Calls

3 calls:

88.0ms	(* x (- x 1.0))
122.0ms	(* (fma 1.0 1.0 (* x (- x 1.0))) (- 1.0 x))
143.0ms	(/ (+ (pow x 3) (pow 1.0 3)) (* (fma 1.0 1.0 (* x (- x 1.0))) (- 1.0 x)))

simplify5.9s

Counts

140 → 140

Iterations

Iter	Nodes
done	5001
2	1535
1	588
0	251

prune1.7s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes140.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	6
1	6
0	5

end0.0ms

sample1.0s

Algorithm

intervals

Results

746.0ms

8000×

body

valid