Details

sample44.0ms

Algorithm

intervals

Results

17.0ms	69×	body	640	valid
7.0ms	50×	body	320	valid
6.0ms	125×	body	80	valid
1.0ms	12×	body	160	valid

simplify22.0ms

Counts: 1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.6b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1.0 (- x 1.0))
0.0b	(/ 1.0 (+ x 1.0))
1.3b	(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

rewrite179.0ms

Algorithm

rewrite-expression-head

Rules

84×	`*-un-lft-identity`
55×	`times-frac`
50×	`add-sqr-sqrt`
30×	`add-cube-cbrt`
25×	`distribute-lft-out--`
10×	`distribute-lft-out`
9×	`associate-/r*`
8×	`difference-of-squares`
7×	`add-exp-log` `add-cbrt-cube`
6×	`associate-/r/` `associate-/l*`
5×	`add-log-exp`
4×	`div-inv`
3×	`pow1` `flip--`
2×	`cbrt-undiv` `flip3--` `frac-2neg` `div-exp` `clear-num` `flip-+`
1×	`sub-neg` `flip3-+` `diff-log` `frac-sub`

Counts

3 → 102

Calls

3 calls:

18.0ms	(/ 1.0 (- x 1.0))
21.0ms	(/ 1.0 (+ x 1.0))
129.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

series291.0ms

Counts

3 → 9

Calls

3 calls:

29.0ms	(/ 1.0 (- x 1.0))
28.0ms	(/ 1.0 (+ x 1.0))
234.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

simplify1.7s

Counts: 111 → 111

prune305.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.4b

localize13.0ms

Local error

Found 2 expressions with local error:

0.4b	(/ 1.0 (- (* x x) (* 1.0 1.0)))
0.7b	(- (- x 1.0) (+ x 1.0))

rewrite119.0ms

Algorithm

rewrite-expression-head

Rules

23×	`*-un-lft-identity`
14×	`add-log-exp`
13×	`add-sqr-sqrt`
12×	`times-frac`
11×	`add-cube-cbrt`
6×	`diff-log` `distribute-lft-out--`
5×	`difference-of-squares`
4×	`add-exp-log` `flip3--` `associate-/r*` `frac-sub` `add-cbrt-cube` `flip--`
3×	`associate-/l*`
2×	`pow1` `sub-neg` `flip3-+` `associate--l+` `sum-log` `associate-/r/` `flip-+` `distribute-lft-out`
1×	`cbrt-undiv` `associate--l-` `frac-2neg` `div-exp` `clear-num` `div-inv` `associate--r+`

Counts

2 → 61

Calls

2 calls:

26.0ms	(/ 1.0 (- (* x x) (* 1.0 1.0)))
89.0ms	(- (- x 1.0) (+ x 1.0))

series105.0ms

Counts

2 → 6

Calls

2 calls:

92.0ms	(/ 1.0 (- (* x x) (* 1.0 1.0)))
13.0ms	(- (- x 1.0) (+ x 1.0))

simplify901.0ms

Counts: 67 → 67

prune167.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (- 2.0))
0.4b	(/ 1.0 (- (* x x) (* 1.0 1.0)))

rewrite86.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt`
25×	`times-frac`
22×	`add-cube-cbrt` `*-un-lft-identity`
18×	`associate-l`
10×	`associate-r`
9×	`add-exp-log` `add-cbrt-cube`
7×	`difference-of-squares`
4×	`pow1` `associate-/r*` `associate-/r/`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `associate-/l*`
2×	`cbrt-undiv` `flip3--` `div-exp` `prod-exp` `flip--` `cbrt-unprod` `div-inv` `add-log-exp` `unswap-sqr`
1×	`neg-mul-1` `frac-2neg` `pow-prod-down` `associate-l/` `clear-num` `-commutative` `distribute-rgt-neg-out`

Counts

2 → 78

Calls

2 calls:

61.0ms	(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (- 2.0))
20.0ms	(/ 1.0 (- (* x x) (* 1.0 1.0)))

series127.0ms

Counts

2 → 6

Calls

2 calls:

71.0ms	(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (- 2.0))
56.0ms	(/ 1.0 (- (* x x) (* 1.0 1.0)))

simplify793.0ms

Counts: 84 → 84

prune284.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- 2.0) (+ x 1.0))
0.1b	(/ (/ (- 2.0) (+ x 1.0)) (- x 1.0))

rewrite138.0ms

Algorithm

rewrite-expression-head

Rules

510×	`times-frac`
449×	`*-un-lft-identity`
307×	`add-sqr-sqrt`
213×	`add-cube-cbrt`
87×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
71×	`distribute-lft-out`
56×	`associate-/l*`
47×	`distribute-lft-out--` `difference-of-squares`
29×	`neg-mul-1`
16×	`associate-/r/`
9×	`add-exp-log` `associate-/r*` `add-cbrt-cube`
8×	`div-inv`
7×	`flip3-+` `flip-+`
4×	`cbrt-undiv` `div-exp`
3×	`div-sub` `distribute-frac-neg`
2×	`pow1` `neg-sub0` `frac-2neg` `clear-num` `add-log-exp`
1×	`flip3--` `flip--` `associate-/l/`

Counts

2 → 370

Calls

2 calls:

31.0ms	(/ (- 2.0) (+ x 1.0))
65.0ms	(/ (/ (- 2.0) (+ x 1.0)) (- x 1.0))

series127.0ms

Counts

2 → 6

Calls

2 calls:

25.0ms	(/ (- 2.0) (+ x 1.0))
102.0ms	(/ (/ (- 2.0) (+ x 1.0)) (- x 1.0))

simplify1.5s

Counts: 376 → 376

prune1.2s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes20.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.3s

end0.0ms

sample1.2s

Algorithm

intervals

Results

478.0ms	1903×	body	640	valid
278.0ms	4238×	body	80	valid
164.0ms	1229×	body	320	valid
59.0ms	630×	body	160	valid