Details

sample49.0ms

Algorithm

intervals

Results

14.0ms	71×	body	640	valid
12.0ms	41×	body	320	valid
8.0ms	125×	body	80	valid
2.0ms	19×	body	160	valid

simplify8.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	12
2	12
1	9
0	6

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.1b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 1.0 (+ x 1.0))
2.7b	(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

40×	`*-un-lft-identity`
28×	`times-frac`
27×	`add-sqr-sqrt`
15×	`add-cube-cbrt`
8×	`distribute-lft-out--`
7×	`distribute-lft-out`
4×	`associate-/r*` `add-cbrt-cube` `add-exp-log` `add-log-exp` `difference-of-squares`
3×	`div-inv` `associate-/l*`
2×	`pow1` `associate-/r/`
1×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `flip3-+` `flip3--` `diff-log` `div-exp` `frac-sub` `flip-+` `flip--`

Counts

2 → 58

Calls

2 calls:

9.0ms	(/ 1.0 (+ x 1.0))
64.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

series136.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(/ 1.0 (+ x 1.0))
103.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

simplify882.0ms

Counts

64 → 64

Iterations

Iter	Nodes
done	5000
2	1127
1	286
0	120

prune299.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (+ x 1.0) x)
0.0b	(/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))
2.2b	(- x (+ x 1.0))

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-cbrt-cube` `add-exp-log`
12×	`*-un-lft-identity`
9×	`add-sqr-sqrt`
8×	`add-log-exp`
5×	`pow1` `prod-exp` `add-cube-cbrt` `cbrt-unprod`
4×	`cbrt-undiv` `div-exp` `associate-l` `associate-*l/`
3×	`associate-r`
2×	`flip3-+` `flip3--` `diff-log` `associate-*r/` `associate-/r/` `flip-+` `flip--` `distribute-lft-out` `distribute-lft-out--` `associate-/l/`
1×	`clear-num` `associate-/r` `sum-log` `sub-neg` `frac-2neg` `times-frac` `pow-prod-down` `-commutative` `div-inv` `associate-/l*` `associate--r+` `difference-of-squares` `unswap-sqr`

Counts

3 → 63

Calls

3 calls:

29.0ms	(* (+ x 1.0) x)
38.0ms	(/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))
12.0ms	(- x (+ x 1.0))

series135.0ms

Counts

3 → 9

Calls

3 calls:

58.0ms	(* (+ x 1.0) x)
64.0ms	(/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))
12.0ms	(- x (+ x 1.0))

simplify1.8s

Counts

72 → 72

Iterations

Iter	Nodes
done	5000
2	2848
1	361
0	119

prune289.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (+ x 1.0) x)
0.3b	(/ (* 1.0 1.0) (- (* (+ x 1.0) x)))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-cbrt-cube` `add-exp-log`
8×	`add-sqr-sqrt` `*-un-lft-identity`
6×	`associate-/r*` `times-frac` `add-cube-cbrt`
4×	`pow1` `associate-l` `associate-*l/`
3×	`associate-r`
2×	`distribute-lft-neg-in` `cbrt-undiv` `neg-mul-1` `distribute-rgt-neg-in` `flip3-+` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `flip-+` `distribute-neg-frac` `add-log-exp`
1×	`clear-num` `frac-2neg` `pow-prod-down` `-commutative` `div-inv` `distribute-lft-out` `associate-/l` `unswap-sqr`

Counts

2 → 50

Calls

2 calls:

31.0ms	(* (+ x 1.0) x)
19.0ms	(/ (* 1.0 1.0) (- (* (+ x 1.0) x)))

series133.0ms

Counts

2 → 6

Calls

2 calls:

60.0ms	(* (+ x 1.0) x)
73.0ms	(/ (* 1.0 1.0) (- (* (+ x 1.0) x)))

simplify1.7s

Counts

56 → 56

Iterations

Iter	Nodes
done	5000
2	2736
1	322
0	112

prune241.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (* 1.0 1.0) (+ x 1.0))
0.1b	(/ (/ (* 1.0 1.0) (+ x 1.0)) (- x))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

148×	`times-frac`
85×	`*-un-lft-identity`
59×	`add-sqr-sqrt` `add-cube-cbrt`
33×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
24×	`associate-/r/`
16×	`add-cbrt-cube` `add-exp-log`
14×	`associate-/r*`
13×	`div-inv` `distribute-lft-out`
12×	`flip3-+` `flip-+`
11×	`neg-mul-1` `associate-/l*`
7×	`cbrt-undiv` `div-exp`
2×	`pow1` `clear-num` `frac-2neg` `prod-exp` `cbrt-unprod` `add-log-exp`
1×	`associate-/l/`

Counts

2 → 162

Calls

2 calls:

16.0ms	(/ (* 1.0 1.0) (+ x 1.0))
21.0ms	(/ (/ (* 1.0 1.0) (+ x 1.0)) (- x))

series103.0ms

Counts

2 → 6

Calls

2 calls:

47.0ms	(/ (* 1.0 1.0) (+ x 1.0))
56.0ms	(/ (/ (* 1.0 1.0) (+ x 1.0)) (- x))

simplify2.7s

Counts

168 → 168

Iterations

Iter	Nodes
done	5002
2	4718
1	782
0	270

prune690.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

regimes66.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	8
1	8
0	7

end0.0ms

sample838.0ms

Algorithm

intervals

Results

276.0ms	1855×	body	640	valid
220.0ms	4287×	body	80	valid
125.0ms	1253×	body	320	valid
88.0ms	605×	body	160	valid