Details

sample28.0ms

Algorithm

intervals

Results

7.0ms	58×	body	640	valid
4.0ms	136×	body	80	valid
4.0ms	46×	body	320	valid
1.0ms	16×	body	160	valid

simplify8.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	12
2	12
1	9
0	6

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.1b

localize19.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 1.0 (+ x 1.0))
2.9b	(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

rewrite96.0ms

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:

11.0ms	(/ 1.0 (+ x 1.0))
82.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

series492.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(/ 1.0 (+ x 1.0))
465.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

simplify803.0ms

Counts

64 → 64

Iterations

Iter	Nodes
done	5000
2	1127
1	286
0	120

prune290.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize22.0ms

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))

rewrite79.0ms

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:

25.0ms	(* (+ x 1.0) x)
27.0ms	(/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))
23.0ms	(- x (+ x 1.0))

series125.0ms

Counts

3 → 9

Calls

3 calls:

52.0ms	(* (+ x 1.0) x)
61.0ms	(/ (* 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

prune372.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize21.0ms

Local error

Found 2 expressions with local error:

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

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 45

Calls

2 calls:

17.0ms	(* (+ x 1.0) x)
22.0ms	(/ (* 1.0 (- 1.0)) (* (+ x 1.0) x))

series137.0ms

Counts

2 → 6

Calls

2 calls:

84.0ms	(* (+ x 1.0) x)
53.0ms	(/ (* 1.0 (- 1.0)) (* (+ x 1.0) x))

simplify1.7s

Counts

51 → 51

Iterations

Iter	Nodes
done	5001
2	2406
1	291
0	96

prune268.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize11.0ms

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)

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

50×	`times-frac`
35×	`*-un-lft-identity`
23×	`add-sqr-sqrt` `add-cube-cbrt`
16×	`add-cbrt-cube` `add-exp-log`
11×	`associate-/l*`
10×	`associate-/r/`
7×	`cbrt-undiv` `associate-/r*` `div-exp`
6×	`div-inv` `distribute-lft-out`
5×	`flip3-+` `flip-+`
3×	`distribute-frac-neg`
2×	`pow1` `clear-num` `frac-2neg` `prod-exp` `distribute-rgt-neg-out` `cbrt-unprod` `add-log-exp`
1×	`associate-/l/`

Counts

2 → 87

Calls

2 calls:

26.0ms	(/ (* 1.0 (- 1.0)) (+ x 1.0))
25.0ms	(/ (/ (* 1.0 (- 1.0)) (+ x 1.0)) x)

series92.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(/ (* 1.0 (- 1.0)) (+ x 1.0))
52.0ms	(/ (/ (* 1.0 (- 1.0)) (+ x 1.0)) x)

simplify1.7s

Counts

93 → 93

Iterations

Iter	Nodes
done	5002
2	2955
1	488
0	169

prune500.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

regimes40.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	15
3	15
2	13
1	11
0	7

end0.0ms

sample1.1s

Algorithm

intervals

Results

312.0ms	1965×	body	640	valid
278.0ms	1231×	body	320	valid
209.0ms	4190×	body	80	valid
50.0ms	616×	body	160	valid