Details

sample16.0ms

Algorithm

intervals

Results

8.0ms

256×

body

valid

simplify5.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

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))

rewrite94.0ms

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:

18.0ms	(/ x (+ x 1.0))
62.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
9.0ms	(/ 1.0 (- x 1.0))

series290.0ms

Counts

3 → 9

Calls

3 calls:

42.0ms	(/ x (+ x 1.0))
195.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
53.0ms	(/ 1.0 (- x 1.0))

simplify867.0ms

Counts

96 → 96

Iterations

Useful iterations: 2 (337.0ms)

Iter	Nodes	Cost
0	169	1135
1	411	1064
2	1643	998
done	5001	998

prune318.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (/ 1.0 (- x 1.0)) (cbrt (pow (/ x (+ x 1.0)) 3)))
0.0b	(/ 1.0 (- x 1.0))
0.0b	(pow (/ x (+ x 1.0)) 3)
20.1b	(cbrt (pow (/ x (+ x 1.0)) 3))

rewrite219.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 158

Calls

4 calls:

158.0ms	(+ (/ 1.0 (- x 1.0)) (cbrt (pow (/ x (+ x 1.0)) 3)))
17.0ms	(/ 1.0 (- x 1.0))
22.0ms	(pow (/ x (+ x 1.0)) 3)
11.0ms	(cbrt (pow (/ x (+ x 1.0)) 3))

series399.0ms

Counts

4 → 12

Calls

4 calls:

192.0ms	(+ (/ 1.0 (- x 1.0)) (cbrt (pow (/ x (+ x 1.0)) 3)))
47.0ms	(/ 1.0 (- x 1.0))
93.0ms	(pow (/ x (+ x 1.0)) 3)
67.0ms	(cbrt (pow (/ x (+ x 1.0)) 3))

simplify2.1s

Counts

170 → 170

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	264	2606
1	811	2098
2	4127	1914
done	5000	1898

prune576.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (/ x (+ x 1.0)) 3)
0.1b	(pow (/ 1.0 (- x 1.0)) 3)
20.1b	(cbrt (pow (/ x (+ x 1.0)) 3))
20.3b	(cbrt (pow (/ 1.0 (- x 1.0)) 3))

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

124×	`*-un-lft-identity`
108×	`times-frac`
100×	`add-sqr-sqrt`
90×	`cbrt-prod`
78×	`unpow-prod-down` `cube-prod`
76×	`add-cube-cbrt`
16×	`associate-/r/`
12×	`distribute-lft-out` `distribute-lft-out--` `difference-of-squares`
10×	`add-cbrt-cube` `add-exp-log`
8×	`div-inv`
6×	`pow1` `pow-unpow`
4×	`cube-div` `cube-mult` `flip3-+` `flip3--` `unpow3` `pow-exp` `flip-+` `flip--` `add-log-exp` `rem-cube-cbrt` `sqr-pow`
2×	`pow-to-exp` `cbrt-undiv` `cbrt-div` `pow-pow` `pow1/3` `div-exp` `rem-cbrt-cube`

Counts

4 → 228

Calls

4 calls:

26.0ms	(pow (/ x (+ x 1.0)) 3)
23.0ms	(pow (/ 1.0 (- x 1.0)) 3)
17.0ms	(cbrt (pow (/ x (+ x 1.0)) 3))
13.0ms	(cbrt (pow (/ 1.0 (- x 1.0)) 3))

series248.0ms

Counts

4 → 12

Calls

4 calls:

73.0ms	(pow (/ x (+ x 1.0)) 3)
65.0ms	(pow (/ 1.0 (- x 1.0)) 3)
74.0ms	(cbrt (pow (/ x (+ x 1.0)) 3))
35.0ms	(cbrt (pow (/ 1.0 (- x 1.0)) 3))

simplify533.0ms

Counts

240 → 240

Iterations

Useful iterations: done (520.0ms)

Iter	Nodes	Cost
0	310	3873
1	1077	3071
done	5001	2775

prune804.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes41.0ms

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	10	14
1	12	14
done	12	14

end0.0ms

sample985.0ms

Algorithm

intervals

Results

820.0ms

8000×

body

valid