Details

sample12.0ms

Algorithm

intervals

Results

5.0ms

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

localize6.0ms

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))

rewrite85.0ms

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:

10.0ms	(/ x (+ x 1.0))
61.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
10.0ms	(/ 1.0 (- x 1.0))

series174.0ms

Counts

3 → 9

Calls

3 calls:

33.0ms	(/ x (+ x 1.0))
112.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
29.0ms	(/ 1.0 (- x 1.0))

simplify1.2s

Counts

96 → 96

Iterations

Useful iterations: 3 (480.0ms)

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

prune162.0ms

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

rewrite418.0ms

Algorithm

rewrite-expression-head

Rules

280×	`*-un-lft-identity`
125×	`times-frac`
74×	`add-sqr-sqrt`
66×	`distribute-lft-out`
64×	`cbrt-prod`
42×	`add-cube-cbrt`
32×	`distribute-lft-out--`
25×	`swap-sqr`
24×	`cbrt-div`
15×	`associate-/r*`
12×	`add-exp-log` `difference-of-squares`
11×	`pow1` `associate-r` `associate-l`
10×	`add-cbrt-cube`
9×	`frac-times` `associate-/l*`
8×	`flip3-+` `frac-add` `flip-+`
6×	`pow1/3` `associate-/r/`
4×	`add-log-exp` `unswap-sqr`
3×	`cbrt-undiv` `flip3--` `frac-2neg` `associate-r/` `div-exp` `associate-l/` `clear-num` `flip--` `div-inv`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 195

Calls

4 calls:

372.0ms	(* (cbrt (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))) (cbrt (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))))
12.0ms	(/ 1.0 (- x 1.0))
10.0ms	(/ 1.0 (- x 1.0))
10.0ms	(/ 1.0 (- x 1.0))

series433.0ms

Counts

4 → 12

Calls

4 calls:

348.0ms	(* (cbrt (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))) (cbrt (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))))
31.0ms	(/ 1.0 (- x 1.0))
27.0ms	(/ 1.0 (- x 1.0))
27.0ms	(/ 1.0 (- x 1.0))

simplify1.4s

Counts

207 → 207

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	205	4294
1	421	3862
2	1081	3673
3	2756	3228
done	5000	3216

prune435.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize20.0ms

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

rewrite299.0ms

Algorithm

rewrite-expression-head

Rules

85×	`*-un-lft-identity`
43×	`times-frac`
33×	`add-sqr-sqrt`
25×	`add-cube-cbrt`
18×	`distribute-lft-out`
9×	`associate-/r*` `log-pow`
8×	`add-exp-log` `exp-prod` `add-cbrt-cube` `distribute-lft-out--`
6×	`associate-/l*` `add-log-exp`
5×	`pow1`
4×	`log-prod` `associate-/r/` `difference-of-squares`
2×	`cbrt-undiv` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip-+` `div-inv`
1×	`+-commutative` `flip3--` `rem-log-exp` `exp-sum` `frac-add` `sum-log` `flip--`

Counts

4 → 108

Calls

4 calls:

11.0ms	(/ x (+ x 1.0))
60.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
206.0ms	(log (exp (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))))
18.0ms	(/ 1.0 (- x 1.0))

series297.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(/ x (+ x 1.0))
120.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
117.0ms	(log (exp (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))))
27.0ms	(/ 1.0 (- x 1.0))

simplify1.2s

Counts

120 → 120

Iterations

Useful iterations: 3 (504.0ms)

Iter	Nodes	Cost
0	194	1502
1	407	1378
2	971	1268
3	2037	1266
done	5000	1266

prune233.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes19.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	38
1	13	38
done	13	38

end0.0ms

sample283.0ms

Algorithm

intervals

Results

173.0ms

8000×

body

valid