Details

sample17.0ms

Algorithm

intervals

Results

8.0ms

256×

body

valid

simplify5.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	12
2	12
1	11
0	7

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 3 expressions with local error:

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

rewrite81.0ms

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-cbrt-cube` `add-exp-log` `difference-of-squares`
6×	`associate-/r/` `associate-/l*`
5×	`add-log-exp`
3×	`expm1-log1p-u` `pow1` `log1p-expm1-u` `div-inv`
2×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3-+` `flip3--` `div-exp` `flip-+` `flip--`
1×	`+-commutative` `sum-log` `frac-add`

Counts

3 → 114

Calls

3 calls:

9.0ms	(/ x (+ x 1.0))
9.0ms	(/ 1.0 (- x 1.0))
59.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))

series234.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(/ x (+ x 1.0))
44.0ms	(/ 1.0 (- x 1.0))
154.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))

simplify1.2s

Counts

123 → 123

Iterations

Iter	Nodes
done	5001
2	1747
1	431
0	175

prune470.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite334.0ms

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-cbrt-cube` `add-exp-log` `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` `div-inv` `flip--` `sqr-pow`
1×	`pow-to-exp` `cbrt-undiv` `+-commutative` `clear-num` `sum-log` `pow-pow` `frac-2neg` `pow1/3` `div-exp` `pow-exp` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

4 → 153

Calls

4 calls:

9.0ms	(/ 1.0 (- x 1.0))
141.0ms	(cbrt (pow (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))) 3))
75.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
104.0ms	(pow (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))) 3)

series679.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(/ 1.0 (- x 1.0))
219.0ms	(cbrt (pow (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))) 3))
167.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
241.0ms	(pow (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))) 3)

simplify1.6s

Counts

165 → 165

Iterations

Iter	Nodes
done	5000
2	2792
1	573
0	200

prune528.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify1.0ms

Iterations

Iter	Nodes
done	12
1	12
0	10

end0.0ms

sample551.0ms

Algorithm

intervals

Results

383.0ms

8000×

body

valid