Details

sample51.0ms

Algorithm

intervals

Results

19.0ms	66×	body	640	valid
11.0ms	130×	body	80	valid
9.0ms	41×	body	320	valid
2.0ms	19×	body	160	valid

simplify31.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

31.0ms

(- (/ 1 (+ x 1)) (/ 1 x))

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.5b

localize20.0ms

Local error

Found 2 expressions with local error:

3.3b	(- (/ 1 (+ x 1)) (/ 1 x))
0.0b	(/ 1 (+ x 1))

rewrite93.0ms

Algorithm

rewrite-expression-head

Rules

48×	`*-un-lft-identity`
39×	`add-sqr-sqrt`
36×	`times-frac`
15×	`add-cube-cbrt`
10×	`distribute-lft-out--`
9×	`difference-of-squares`
7×	`distribute-lft-out`
6×	`add-exp-log`
5×	`div-inv`
4×	`associate-/r*` `add-cbrt-cube` `add-log-exp`
3×	`pow1` `associate-/l*`
2×	`div-exp` `associate-/r/` `insert-posit16`
1×	`cbrt-undiv` `rec-exp` `clear-num` `sub-neg` `frac-2neg` `flip3-+` `flip3--` `diff-log` `1-exp` `frac-sub` `flip-+` `pow-flip` `flip--` `inv-pow`

Counts

2 → 71

Calls

2 calls:

Slowest

75.0ms	(- (/ 1 (+ x 1)) (/ 1 x))
16.0ms	(/ 1 (+ x 1))

series52.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

39.0ms	(- (/ 1 (+ x 1)) (/ 1 x))
13.0ms	(/ 1 (+ x 1))

simplify5.6s

Counts

101 → 77

Calls

101 calls:

Slowest

651.0ms	(* (* (- (/ 1 (+ x 1)) (/ 1 x)) (- (/ 1 (+ x 1)) (/ 1 x))) (- (/ 1 (+ x 1)) (/ 1 x)))
505.0ms	(/ (* (* 1 1) 1) (* (* (+ x 1) (+ x 1)) (+ x 1)))
441.0ms	(- (/ 1 (pow x 3)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 2))))
431.0ms	(/ (exp (/ 1 (+ x 1))) (exp (/ 1 x)))
401.0ms	(- (/ 1 (pow x 3)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 2))))

prune481.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize8.0ms

Local error

Found 2 expressions with local error:

0.2b	(/ -1 (+ (* x x) x))
0.0b	(+ (* x x) x)

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

17×	`*-un-lft-identity`
15×	`times-frac`
12×	`add-sqr-sqrt` `add-cube-cbrt`
5×	`associate-/r*` `distribute-lft1-in` `distribute-rgt-out`
4×	`add-cbrt-cube` `add-exp-log` `add-log-exp`
3×	`associate-/l*`
2×	`pow1` `flip3-+` `associate-/r/` `flip-+` `insert-posit16`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `frac-2neg` `div-exp` `div-inv`

Counts

2 → 52

Calls

2 calls:

Slowest

17.0ms	(+ (* x x) x)
14.0ms	(/ -1 (+ (* x x) x))

series77.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

53.0ms	(+ (* x x) x)
24.0ms	(/ -1 (+ (* x x) x))

simplify4.9s

Counts

75 → 58

Calls

75 calls:

Slowest

534.0ms	(* (* (+ (* x x) x) (+ (* x x) x)) (+ (* x x) x))
410.0ms	(- (/ 1 (pow x 3)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 2))))
407.0ms	(+ (pow (* x x) 3) (pow x 3))
373.0ms	(+ (* (* x x) (* x x)) (- (* x x) (* (* x x) x)))
371.0ms	(- (/ 1 (pow x 3)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 2))))

prune376.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

0.0b	(/ (/ -1 x) (+ x 1))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

97×	`times-frac`
78×	`*-un-lft-identity`
50×	`add-sqr-sqrt` `add-cube-cbrt`
14×	`distribute-lft-out`
13×	`associate-/l*`
6×	`add-cbrt-cube` `add-exp-log` `div-inv`
4×	`associate-/r*`
3×	`cbrt-undiv` `div-exp`
2×	`associate-/r/`
1×	`pow1` `clear-num` `frac-2neg` `flip3-+` `flip-+` `insert-posit16` `add-log-exp` `associate-/l/`

Counts

1 → 87

Calls

1 calls:

Slowest

12.0ms

(/ (/ -1 x) (+ x 1))

series27.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

27.0ms

(/ (/ -1 x) (+ x 1))

simplify7.0s

Counts

143 → 90

Calls

143 calls:

Slowest

447.0ms	(- (/ 1 (pow x 3)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 2))))
406.0ms	(- (/ 1 (pow x 3)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 2))))
380.0ms	(/ (/ (* (cbrt -1) (cbrt -1)) (* (cbrt x) (cbrt x))) (* (cbrt (+ x 1)) (cbrt (+ x 1))))
263.0ms	(* (* (/ (/ -1 x) (+ x 1)) (/ (/ -1 x) (+ x 1))) (/ (/ -1 x) (+ x 1)))
179.0ms	(/ (/ (* (cbrt -1) (cbrt -1)) (* (cbrt x) (cbrt x))) (sqrt (+ x 1)))

prune605.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 1 expressions with local error:

0.2b	(/ -1 (* (+ x 1) x))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-cbrt-cube` `add-exp-log`
3×	`add-sqr-sqrt` `-un-lft-identity` `times-frac` `add-cube-cbrt` `associate-/l`
2×	`cbrt-undiv` `div-exp` `associate-*l/` `associate-/r/`
1×	`pow1` `clear-num` `associate-/r*` `frac-2neg` `flip3-+` `prod-exp` `cbrt-unprod` `flip-+` `insert-posit16` `div-inv` `add-log-exp`

Counts

1 → 24

Calls

1 calls:

Slowest

13.0ms

(/ -1 (* (+ x 1) x))

series27.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

27.0ms

(/ -1 (* (+ x 1) x))

simplify2.9s

Counts

31 → 27

Calls

31 calls:

Slowest

454.0ms	(* (* (/ -1 (* (+ x 1) x)) (/ -1 (* (+ x 1) x))) (/ -1 (* (+ x 1) x)))
418.0ms	(- (/ 1 (pow x 3)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 2))))
403.0ms	(- (/ 1 (pow x 3)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 2))))
304.0ms	(/ -1 (* (+ (pow x 3) (pow 1 3)) x))
213.0ms	(/ (* (* -1 -1) -1) (* (* (* (+ x 1) (+ x 1)) (+ x 1)) (* (* x x) x)))

prune144.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes31.0ms

Accuracy

0% (0.1b remaining)

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

bsearch2.0ms

end0.0ms

sample1.8s

Algorithm

intervals

Results

740.0ms	4244×	body	80	valid
514.0ms	1854×	body	640	valid
342.0ms	1310×	body	320	valid
81.0ms	593×	body	160	valid