Details

sample32.0ms

Algorithm

intervals

Results

22.0ms

256×

body

valid

simplify7.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	15
2	15
1	14
0	7

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ x (+ x 1))
0.0b	(+ (/ 1 (- x 1)) (/ x (+ x 1)))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

42×	`*-un-lft-identity`
20×	`times-frac`
12×	`distribute-lft-out`
11×	`add-sqr-sqrt` `add-cube-cbrt`
4×	`associate-/r*` `add-cbrt-cube` `add-exp-log` `add-log-exp`
3×	`associate-/l*`
2×	`pow1` `flip3-+` `associate-/r/` `flip-+` `insert-posit16` `div-inv` `distribute-lft-out--`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `frac-2neg` `div-exp` `frac-add`

Counts

2 → 53

Calls

2 calls:

7.0ms	(/ x (+ x 1))
37.0ms	(+ (/ 1 (- x 1)) (/ x (+ x 1)))

series85.0ms

Counts

2 → 6

Calls

2 calls:

23.0ms	(/ x (+ x 1))
61.0ms	(+ (/ 1 (- x 1)) (/ x (+ x 1)))

simplify949.0ms

Counts

59 → 59

Iterations

Iter	Nodes
done	2013
3	2013
2	1013
1	272
0	104

prune405.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b	(log (exp (+ (/ 1 (- x 1)) (/ x (+ x 1)))))
0.0b	(/ x (+ x 1))
0.0b	(+ (/ 1 (- x 1)) (/ x (+ x 1)))
0.0b	(exp (+ (/ 1 (- x 1)) (/ x (+ x 1))))

rewrite343.0ms

Algorithm

rewrite-expression-head

Rules

93×	`*-un-lft-identity`
36×	`times-frac`
28×	`distribute-lft-out`
18×	`exp-prod`
16×	`add-sqr-sqrt` `add-cube-cbrt`
10×	`log-pow`
9×	`add-log-exp`
6×	`add-cbrt-cube` `add-exp-log` `distribute-lft-out--`
5×	`pow1`
4×	`log-prod` `associate-/r*` `insert-posit16` `div-inv`
3×	`associate-/l*`
2×	`sum-log` `flip3-+` `exp-sum` `associate-/r/` `flip-+` `rem-exp-log`
1×	`cbrt-undiv` `+-commutative` `clear-num` `frac-2neg` `div-exp` `rem-log-exp` `frac-add`

Counts

4 → 96

Calls

4 calls:

159.0ms	(log (exp (+ (/ 1 (- x 1)) (/ x (+ x 1)))))
8.0ms	(/ x (+ x 1))
41.0ms	(+ (/ 1 (- x 1)) (/ x (+ x 1)))
133.0ms	(exp (+ (/ 1 (- x 1)) (/ x (+ x 1))))

series366.0ms

Counts

4 → 12

Calls

4 calls:

76.0ms	(log (exp (+ (/ 1 (- x 1)) (/ x (+ x 1)))))
33.0ms	(/ x (+ x 1))
97.0ms	(+ (/ 1 (- x 1)) (/ x (+ x 1)))
160.0ms	(exp (+ (/ 1 (- x 1)) (/ x (+ x 1))))

simplify1.1s

Counts

108 → 108

Iterations

Iter	Nodes
done	2012
3	2012
2	1203
1	370
0	152

prune858.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize62.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (/ 1 (- x 1)) (- x 1))
0.1b	(* (* (/ 1 (- x 1)) (/ 1 (- x 1))) (/ 1 (- x 1)))
0.1b	(* (* (/ x (+ 1 x)) (/ x (+ 1 x))) (/ x (+ 1 x)))
0.1b	(* (/ 1 (- x 1)) (/ 1 (- x 1)))

rewrite241.0ms

Algorithm

rewrite-expression-head

Rules

513×	`times-frac`
502×	`add-sqr-sqrt`
431×	`*-un-lft-identity`
343×	`add-exp-log`
191×	`add-cube-cbrt`
166×	`prod-exp`
140×	`difference-of-squares`
133×	`div-exp`
103×	`add-cbrt-cube`
81×	`pow1`
73×	`difference-of-sqr-1` `distribute-lft-out--`
72×	`associate-r`
58×	`rec-exp` `1-exp`
41×	`swap-sqr`
40×	`cbrt-unprod`
37×	`pow-prod-up`
33×	`cbrt-undiv`
30×	`associate-/r/` `pow-flip` `inv-pow`
29×	`associate-l`
27×	`associate-/l*`
17×	`div-inv`
14×	`flip3--` `flip--` `unswap-sqr`
13×	`pow-plus` `pow-prod-down`
12×	`frac-times` `associate-*l/`
11×	`pow-sqr`
7×	`associate-/r` `associate-r/`
5×	`pow2`
4×	`un-div-inv` `insert-posit16` `add-log-exp`
3×	`*-commutative` `distribute-lft-out`
2×	`pow3` `pow-div`
1×	`clear-num` `frac-2neg` `flip3-+` `flip-+` `associate-/l/`

Counts

4 → 616

Calls

4 calls:

24.0ms	(/ (/ 1 (- x 1)) (- x 1))
87.0ms	(* (* (/ 1 (- x 1)) (/ 1 (- x 1))) (/ 1 (- x 1)))
61.0ms	(* (* (/ x (+ 1 x)) (/ x (+ 1 x))) (/ x (+ 1 x)))
52.0ms	(* (/ 1 (- x 1)) (/ 1 (- x 1)))

series127.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(/ (/ 1 (- x 1)) (- x 1))
24.0ms	(* (* (/ 1 (- x 1)) (/ 1 (- x 1))) (/ 1 (- x 1)))
38.0ms	(* (* (/ x (+ 1 x)) (/ x (+ 1 x))) (/ x (+ 1 x)))
32.0ms	(* (/ 1 (- x 1)) (/ 1 (- x 1)))

simplify1.5s

Counts

628 → 628

Iterations

Iter	Nodes
done	2002
2	2002
1	1818
0	670

prune9.2s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes73.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	24
1	24
0	18

end0.0ms

sample1.2s

Algorithm

intervals

Results

1.1s

8000×

body

valid