Details

sample26.0ms

Algorithm

intervals

Results

7.0ms	59×	body	640	valid
4.0ms	134×	body	80	valid
4.0ms	43×	body	320	valid
1.0ms	20×	body	160	valid

simplify16.0ms

Counts: 1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.7b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1.0 (- x 1.0))
0.0b	(/ 1.0 (+ x 1.0))
2.3b	(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

rewrite124.0ms

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:

14.0ms	(/ 1.0 (- x 1.0))
14.0ms	(/ 1.0 (+ x 1.0))
90.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

series288.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(/ 1.0 (- x 1.0))
30.0ms	(/ 1.0 (+ x 1.0))
221.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

simplify2.1s

Counts: 111 → 111

prune319.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.6b

localize31.0ms

Local error

Found 2 expressions with local error:

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

rewrite240.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 59

Calls

2 calls:

139.0ms	(/ (* 1.0 (- (- x 1.0) (+ x 1.0))) (- (* x x) (* 1.0 1.0)))
95.0ms	(- (- x 1.0) (+ x 1.0))

series102.0ms

Counts

2 → 6

Calls

2 calls:

85.0ms	(/ (* 1.0 (- (- x 1.0) (+ x 1.0))) (- (* x x) (* 1.0 1.0)))
17.0ms	(- (- x 1.0) (+ x 1.0))

simplify1.1s

Counts: 65 → 65

prune201.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.5b

localize17.0ms

Local error

Found 1 expressions with local error:

0.6b	(/ (* 1.0 (- 2.0)) (- (* x x) (* 1.0 1.0)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-exp-log` `add-cbrt-cube`
4×	`times-frac` `associate-/r*`
3×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
2×	`cbrt-undiv` `div-exp` `associate-/r/` `difference-of-squares`
1×	`pow1` `flip3--` `frac-2neg` `distribute-frac-neg` `prod-exp` `clear-num` `distribute-rgt-neg-out` `flip--` `cbrt-unprod` `div-inv` `associate-/l*` `add-log-exp`

Counts

1 → 26

Calls

1 calls:

30.0ms

(/ (* 1.0 (- 2.0)) (- (* x x) (* 1.0 1.0)))

series83.0ms

Counts

1 → 3

Calls

1 calls:

83.0ms

(/ (* 1.0 (- 2.0)) (- (* x x) (* 1.0 1.0)))

simplify580.0ms

Counts: 29 → 29

prune99.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 2 expressions with local error:

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

rewrite97.0ms

Algorithm

rewrite-expression-head

Rules

78×	`times-frac`
65×	`*-un-lft-identity`
49×	`add-sqr-sqrt`
27×	`add-cube-cbrt`
16×	`add-exp-log` `associate-/r/` `add-cbrt-cube`
11×	`associate-/l*` `distribute-lft-out--` `difference-of-squares`
9×	`associate-/r*`
8×	`div-inv` `distribute-lft-out`
7×	`cbrt-undiv` `flip3-+` `div-exp` `flip-+`
3×	`distribute-frac-neg`
2×	`pow1` `frac-2neg` `prod-exp` `clear-num` `distribute-rgt-neg-out` `cbrt-unprod` `add-log-exp`
1×	`flip3--` `flip--` `associate-/l/`

Counts

2 → 111

Calls

2 calls:

37.0ms	(/ (* 1.0 (- 2.0)) (+ x 1.0))
49.0ms	(/ (/ (* 1.0 (- 2.0)) (+ x 1.0)) (- x 1.0))

series151.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(/ (* 1.0 (- 2.0)) (+ x 1.0))
117.0ms	(/ (/ (* 1.0 (- 2.0)) (+ x 1.0)) (- x 1.0))

simplify1.2s

Counts: 117 → 117

prune349.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes50.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0s

end0.0ms

sample1.6s

Algorithm

intervals

Results

608.0ms	4153×	body	80	valid
460.0ms	1920×	body	640	valid
188.0ms	1257×	body	320	valid
86.0ms	670×	body	160	valid