Details

sample21.0ms

Algorithm

intervals

Results

6.0ms	63×	body	640	valid
3.0ms	127×	body	80	valid
3.0ms	43×	body	320	valid
1.0ms	23×	body	160	valid

simplify5.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	9
1	9	9
2	12	9
done	12	9

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.5b

localize19.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 1.0 (+ x 1.0))
3.6b	(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

rewrite114.0ms

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×	`add-exp-log` `associate-/r*` `add-cbrt-cube` `add-log-exp` `difference-of-squares`
3×	`div-inv` `associate-/l*`
2×	`pow1` `associate-/r/`
1×	`cbrt-undiv` `sub-neg` `flip3--` `frac-2neg` `flip3-+` `diff-log` `div-exp` `clear-num` `frac-sub` `flip--` `flip-+`

Counts

2 → 58

Calls

2 calls:

12.0ms	(/ 1.0 (+ x 1.0))
100.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

series119.0ms

Counts

2 → 6

Calls

2 calls:

46.0ms	(/ 1.0 (+ x 1.0))
73.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

simplify693.0ms

Counts

64 → 64

Iterations

Useful iterations: done (690.0ms)

Iter	Nodes	Cost
0	120	810
1	285	766
2	1122	724
done	5000	718

prune179.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.2b

localize15.0ms

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

rewrite97.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 63

Calls

3 calls:

35.0ms	(* (+ x 1.0) x)
39.0ms	(/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))
19.0ms	(- x (+ x 1.0))

series124.0ms

Counts

3 → 9

Calls

3 calls:

69.0ms	(* (+ x 1.0) x)
47.0ms	(/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))
8.0ms	(- x (+ x 1.0))

simplify1.9s

Counts

72 → 72

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	119	903
1	361	745
2	2884	602
done	5000	600

prune202.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite249.0ms

Algorithm

rewrite-expression-head

Rules

1711×	`times-frac`
1053×	`*-un-lft-identity`
733×	`add-sqr-sqrt` `add-cube-cbrt`
192×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
160×	`distribute-lft-out`
140×	`associate-/l*`
64×	`neg-mul-1`
47×	`associate-/r*`
22×	`div-inv`
16×	`add-exp-log` `add-cbrt-cube`
9×	`cbrt-undiv` `div-exp`
5×	`associate-/r/`
2×	`pow1` `frac-2neg` `clear-num` `add-log-exp`
1×	`associate-/l/`

Counts

2 → 762

Calls

2 calls:

40.0ms	(/ 1.0 (/ (+ x 1.0) (- 1.0)))
117.0ms	(/ (/ 1.0 (/ (+ x 1.0) (- 1.0))) x)

series89.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(/ 1.0 (/ (+ x 1.0) (- 1.0)))
56.0ms	(/ (/ 1.0 (/ (+ x 1.0) (- 1.0))) x)

simplify2.0s

Counts

768 → 768

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	972	16351
1	2688	15296
done	5002	14960

prune2.3s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (/ (+ x 1.0) (- 1.0)) x)
0.2b	(/ 1.0 (* (/ (+ x 1.0) (- 1.0)) x))

rewrite100.0ms

Algorithm

rewrite-expression-head

Rules

48×	`*-un-lft-identity`
44×	`times-frac` `associate-l`
33×	`add-sqr-sqrt`
28×	`add-cube-cbrt`
16×	`add-exp-log` `add-cbrt-cube`
12×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
10×	`distribute-lft-out`
5×	`cbrt-undiv` `div-exp`
4×	`pow1` `neg-mul-1` `prod-exp` `cbrt-unprod`
3×	`associate-r` `associate-/l*`
2×	`associate-*l/` `div-inv` `add-log-exp` `unswap-sqr`
1×	`frac-2neg` `pow-prod-down` `clear-num` `associate-/r` `associate-/r/` `-commutative`

Counts

2 → 87

Calls

2 calls:

61.0ms	(* (/ (+ x 1.0) (- 1.0)) x)
32.0ms	(/ 1.0 (* (/ (+ x 1.0) (- 1.0)) x))

series178.0ms

Counts

2 → 6

Calls

2 calls:

115.0ms	(* (/ (+ x 1.0) (- 1.0)) x)
63.0ms	(/ 1.0 (* (/ (+ x 1.0) (- 1.0)) x))

simplify1.3s

Counts

93 → 93

Iterations

Useful iterations: 2 (354.0ms)

Iter	Nodes	Cost
0	154	1077
1	388	1042
2	2115	928
done	5000	928

prune229.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes16.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	8	10
done	8	10

end0.0ms

sample1.0s

Algorithm

intervals

Results

388.0ms	1925×	body	640	valid
206.0ms	4181×	body	80	valid
182.0ms	1287×	body	320	valid
46.0ms	607×	body	160	valid