Details

sample32.0ms

Algorithm

intervals

Results

10.0ms	68×	body	640	valid
5.0ms	126×	body	80	valid
4.0ms	33×	body	320	valid
2.0ms	29×	body	160	valid

simplify25.0ms

Counts: 1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.2b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1.0 (- x 1.0))
0.0b	(/ 1.0 (+ x 1.0))
3.0b	(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

rewrite174.0ms

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:

23.0ms	(/ 1.0 (- x 1.0))
19.0ms	(/ 1.0 (+ x 1.0))
124.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

series320.0ms

Counts

3 → 9

Calls

3 calls:

44.0ms	(/ 1.0 (- x 1.0))
44.0ms	(/ 1.0 (+ x 1.0))
232.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

simplify2.0s

Counts: 111 → 111

prune297.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.5b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (* 1.0 (- (- x 1.0) (+ x 1.0))) (- (* x x) (* 1.0 1.0)))
1.9b	(- (- x 1.0) (+ x 1.0))

rewrite179.0ms

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:

102.0ms	(/ (* 1.0 (- (- x 1.0) (+ x 1.0))) (- (* x x) (* 1.0 1.0)))
73.0ms	(- (- x 1.0) (+ x 1.0))

series75.0ms

Counts

2 → 6

Calls

2 calls:

67.0ms	(/ (* 1.0 (- (- x 1.0) (+ x 1.0))) (- (* x x) (* 1.0 1.0)))
8.0ms	(- (- x 1.0) (+ x 1.0))

simplify984.0ms

Counts: 65 → 65

prune197.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.4b

localize16.0ms

Local error

Found 1 expressions with local error:

0.5b	(/ (* 1.0 (- 2.0)) (- (* x x) (* 1.0 1.0)))

rewrite42.0ms

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:

40.0ms

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

series101.0ms

Counts

1 → 3

Calls

1 calls:

101.0ms

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

simplify501.0ms

Counts: 29 → 29

prune82.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

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))

rewrite111.0ms

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:

34.0ms	(/ (* 1.0 (- 2.0)) (+ x 1.0))
66.0ms	(/ (/ (* 1.0 (- 2.0)) (+ x 1.0)) (- x 1.0))

series125.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(/ (* 1.0 (- 2.0)) (+ x 1.0))
93.0ms	(/ (/ (* 1.0 (- 2.0)) (+ x 1.0)) (- x 1.0))

simplify1.1s

Counts: 117 → 117

prune369.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes24.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.2s

end0.0ms

sample1.1s

Algorithm

intervals

Results

318.0ms	1869×	body	640	valid
279.0ms	4212×	body	80	valid
237.0ms	1266×	body	320	valid
101.0ms	653×	body	160	valid