Details

sample29.0ms

Algorithm

intervals

Results

8.0ms	230×	body	80	valid
3.0ms	28×	body	640	valid
2.0ms	14×	body	1280	valid
2.0ms	15×	body	320	valid
0.0ms	4×	body	160	valid

simplify1.3s

Counts: 1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- 1.0 x) (- 1.0 y))
2.3b	(+ x (* (- 1.0 x) (- 1.0 y)))

rewrite95.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
8×	`*-un-lft-identity`
6×	`flip3--` `flip--`
5×	`associate-r` `associate-l`
4×	`pow1` `add-exp-log` `distribute-rgt-in` `frac-times` `add-cube-cbrt` `sub-neg` `associate-+r+` `distribute-lft-in` `add-cbrt-cube` `add-log-exp`
2×	`associate-r/` `associate-l/` `distribute-lft-out--` `difference-of-squares`
1×	`+-commutative` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

2 → 49

Calls

2 calls:

75.0ms	(* (- 1.0 x) (- 1.0 y))
18.0ms	(+ x (* (- 1.0 x) (- 1.0 y)))

series63.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(* (- 1.0 x) (- 1.0 y))
27.0ms	(+ x (* (- 1.0 x) (- 1.0 y)))

simplify648.0ms

Counts: 55 → 55

prune146.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize16.0ms

Local error

Found 1 expressions with local error:

0.0b	(- (+ (* x y) 1.0) (* 1.0 y))

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-log-exp`
2×	`diff-log`
1×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `sub-neg` `flip3--` `*-un-lft-identity` `associate--l+` `sum-log` `add-cbrt-cube` `flip--`

Counts

1 → 14

Calls

1 calls:

97.0ms

(- (+ (* x y) 1.0) (* 1.0 y))

series47.0ms

Counts

1 → 3

Calls

1 calls:

47.0ms

(- (+ (* x y) 1.0) (* 1.0 y))

simplify791.0ms

Counts: 17 → 17

prune51.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (sqrt 1.0) (sqrt x))
0.0b	(* (- (sqrt 1.0) (sqrt x)) (- 1.0 y))
0.1b	(* (+ (sqrt 1.0) (sqrt x)) (* (- (sqrt 1.0) (sqrt x)) (- 1.0 y)))
3.3b	(+ x (* (+ (sqrt 1.0) (sqrt x)) (* (- (sqrt 1.0) (sqrt x)) (- 1.0 y))))

rewrite270.0ms

Algorithm

rewrite-expression-head

Rules

32×	`frac-times`
27×	`add-sqr-sqrt`
25×	`flip3--` `flip--`
21×	`*-un-lft-identity`
18×	`distribute-rgt-in` `distribute-lft-in`
16×	`associate-*r/`
14×	`associate-l` `sqrt-prod`
11×	`pow1` `add-exp-log` `sub-neg` `add-cbrt-cube`
10×	`flip3-+` `associate-*l/` `flip-+`
9×	`difference-of-squares`
8×	`associate-+r+` `add-log-exp`
7×	`add-cube-cbrt`
6×	`associate-r`
5×	`distribute-lft-out--`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`*-commutative` `distribute-lft-out`
1×	`+-commutative` `diff-log` `sum-log` `unswap-sqr`

Counts

4 → 129

Calls

4 calls:

12.0ms	(- (sqrt 1.0) (sqrt x))
77.0ms	(* (- (sqrt 1.0) (sqrt x)) (- 1.0 y))
144.0ms	(* (+ (sqrt 1.0) (sqrt x)) (* (- (sqrt 1.0) (sqrt x)) (- 1.0 y)))
30.0ms	(+ x (* (+ (sqrt 1.0) (sqrt x)) (* (- (sqrt 1.0) (sqrt x)) (- 1.0 y))))

series687.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(- (sqrt 1.0) (sqrt x))
116.0ms	(* (- (sqrt 1.0) (sqrt x)) (- 1.0 y))
344.0ms	(* (+ (sqrt 1.0) (sqrt x)) (* (- (sqrt 1.0) (sqrt x)) (- 1.0 y)))
185.0ms	(+ x (* (+ (sqrt 1.0) (sqrt x)) (* (- (sqrt 1.0) (sqrt x)) (- 1.0 y))))

simplify2.1s

Counts: 141 → 141

prune469.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes50.0ms

Accuracy

1.6% (0.0b remaining)

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

bsearch0.0ms

simplify5.1s

end0.0ms

sample1.1s

Algorithm

intervals

Results

428.0ms	6934×	body	80	valid
153.0ms	830×	body	640	valid
89.0ms	464×	body	1280	valid
61.0ms	558×	body	320	valid
27.0ms	341×	body	160	valid