Details

sample16.0ms

Algorithm

intervals

Results

8.0ms

256×

body

valid

simplify6.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	11	11
2	12	11
done	12	11

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

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))

rewrite122.0ms

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

Counts

3 → 87

Calls

3 calls:

24.0ms	(/ x (+ x 1.0))
81.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
11.0ms	(/ 1.0 (- x 1.0))

series285.0ms

Counts

3 → 9

Calls

3 calls:

63.0ms	(/ x (+ x 1.0))
172.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
49.0ms	(/ 1.0 (- x 1.0))

simplify1.7s

Counts

96 → 96

Iterations

Useful iterations: 3 (664.0ms)

Iter	Nodes	Cost
0	169	1135
1	378	1064
2	927	998
3	1985	996
done	5001	996

prune168.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite252.0ms

Algorithm

rewrite-expression-head

Rules

108×	`*-un-lft-identity`
51×	`times-frac`
34×	`add-sqr-sqrt`
26×	`add-cube-cbrt`
25×	`distribute-lft-out`
10×	`distribute-lft-out--`
9×	`add-exp-log` `associate-/r*` `add-cbrt-cube`
8×	`unpow-prod-down` `cube-prod`
6×	`associate-/l*` `add-log-exp`
5×	`pow1`
4×	`associate-/r/` `difference-of-squares`
3×	`cube-div` `pow-unpow` `flip3-+` `flip-+`
2×	`cbrt-undiv` `frac-2neg` `div-exp` `frac-add` `clear-num` `div-inv`
1×	`+-commutative` `cube-mult` `pow-to-exp` `flip3--` `pow-pow` `unpow3` `pow-exp` `sum-log` `flip--` `rem-cube-cbrt` `sqr-pow`

Counts

4 → 123

Calls

4 calls:

23.0ms	(/ x (+ x 1.0))
92.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
112.0ms	(pow (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))) 3)
15.0ms	(/ 1.0 (- x 1.0))

series470.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(/ x (+ x 1.0))
124.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
259.0ms	(pow (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))) 3)
51.0ms	(/ 1.0 (- x 1.0))

simplify1.0s

Counts

135 → 135

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	209	1934
1	510	1750
2	1503	1636
done	5000	1634

prune429.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

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

rewrite347.0ms

Algorithm

rewrite-expression-head

Rules

108×	`*-un-lft-identity`
51×	`times-frac`
34×	`add-sqr-sqrt`
26×	`add-cube-cbrt`
25×	`distribute-lft-out`
10×	`distribute-lft-out--`
9×	`add-exp-log` `associate-/r*` `add-cbrt-cube`
8×	`unpow-prod-down` `cube-prod`
6×	`associate-/l*` `add-log-exp`
5×	`pow1`
4×	`associate-/r/` `difference-of-squares`
3×	`cube-div` `pow-unpow` `flip3-+` `flip-+`
2×	`cbrt-undiv` `frac-2neg` `div-exp` `frac-add` `clear-num` `div-inv`
1×	`+-commutative` `cube-mult` `pow-to-exp` `flip3--` `pow-pow` `unpow3` `pow-exp` `sum-log` `flip--` `rem-cube-cbrt` `sqr-pow`

Counts

4 → 123

Calls

4 calls:

179.0ms	(pow (+ (/ x (+ x 1.0)) (/ 1.0 (- x 1.0))) 3)
21.0ms	(/ x (+ x 1.0))
120.0ms	(+ (/ x (+ x 1.0)) (/ 1.0 (- x 1.0)))
21.0ms	(/ 1.0 (- x 1.0))

series493.0ms

Counts

4 → 12

Calls

4 calls:

233.0ms	(pow (+ (/ x (+ x 1.0)) (/ 1.0 (- x 1.0))) 3)
53.0ms	(/ x (+ x 1.0))
173.0ms	(+ (/ x (+ x 1.0)) (/ 1.0 (- x 1.0)))
33.0ms	(/ 1.0 (- x 1.0))

simplify1.1s

Counts

135 → 135

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	209	1934
1	505	1750
2	1478	1636
done	5001	1634

prune455.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	17
1	14	17
done	14	17

end0.0ms

sample583.0ms

Algorithm

intervals

Results

398.0ms

8000×

body

valid