Details

sample19.0ms

Algorithm

intervals

Results

8.0ms

256×

body

valid

simplify10.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	12
2	12
1	11
0	7

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

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)))

rewrite135.0ms

Algorithm

rewrite-expression-head

Rules

60×	`*-un-lft-identity`
35×	`times-frac`
30×	`add-sqr-sqrt`
22×	`add-cube-cbrt`
11×	`distribute-lft-out`
9×	`associate-/r*`
7×	`add-cbrt-cube` `add-exp-log`
6×	`associate-/l*` `distribute-lft-out--`
5×	`add-log-exp`
4×	`associate-/r/` `difference-of-squares`
3×	`pow1`
2×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3-+` `div-exp` `flip-+` `div-inv`
1×	`+-commutative` `sum-log` `flip3--` `frac-add` `flip--`

Counts

3 → 87

Calls

3 calls:

19.0ms	(/ x (+ x 1.0))
18.0ms	(/ 1.0 (- x 1.0))
93.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))

series340.0ms

Counts

3 → 9

Calls

3 calls:

65.0ms	(/ x (+ x 1.0))
51.0ms	(/ 1.0 (- x 1.0))
223.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))

simplify740.0ms

Counts

96 → 96

Iterations

Iter	Nodes
done	5002
2	1646
1	411
0	169

prune419.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize43.0ms

Local error

Found 4 expressions with local error:

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

rewrite392.0ms

Algorithm

rewrite-expression-head

Rules

138×	`*-un-lft-identity`
55×	`times-frac`
35×	`distribute-lft-out`
28×	`add-sqr-sqrt`
22×	`cbrt-prod`
20×	`add-cube-cbrt`
16×	`unpow-prod-down` `cube-prod`
14×	`distribute-lft-out--`
7×	`add-cbrt-cube` `add-exp-log`
6×	`cube-div` `add-log-exp`
5×	`pow1` `associate-/r*`
4×	`difference-of-squares`
3×	`pow-unpow` `cbrt-div` `flip3-+` `frac-add` `flip-+` `associate-/l*`
2×	`cube-mult` `unpow3` `associate-/r/` `sqr-pow`
1×	`pow-to-exp` `cbrt-undiv` `+-commutative` `clear-num` `sum-log` `pow-pow` `frac-2neg` `flip3--` `pow1/3` `div-exp` `pow-exp` `rem-cbrt-cube` `div-inv` `flip--` `rem-cube-cbrt`

Counts

4 → 124

Calls

4 calls:

120.0ms	(cbrt (pow (+ (/ 1.0 (- x 1.0)) (/ x (+ 1.0 x))) 3))
11.0ms	(/ 1.0 (- x 1.0))
84.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ 1.0 x)))
168.0ms	(pow (+ (/ 1.0 (- x 1.0)) (/ x (+ 1.0 x))) 3)

series705.0ms

Counts

4 → 12

Calls

4 calls:

182.0ms	(cbrt (pow (+ (/ 1.0 (- x 1.0)) (/ x (+ 1.0 x))) 3))
43.0ms	(/ 1.0 (- x 1.0))
192.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ 1.0 x)))
288.0ms	(pow (+ (/ 1.0 (- x 1.0)) (/ x (+ 1.0 x))) 3)

simplify1.6s

Counts

136 → 136

Iterations

Iter	Nodes
done	5001
2	2765
1	549
0	192

prune498.0ms

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

sample651.0ms

Algorithm

intervals

Results

454.0ms

8000×

body

valid