Details

sample57.0ms

Algorithm

intervals

Results

23.0ms	66×	body	640	valid
12.0ms	140×	body	80	valid
9.0ms	33×	body	320	valid
3.0ms	17×	body	160	valid

simplify43.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

42.0ms

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

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.6b

localize20.0ms

Local error

Found 2 expressions with local error:

2.2b	(- (/ 1 (+ x 1)) (/ 1 x))
0.0b	(/ 1 (+ x 1))

rewrite49.0ms

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

31.0ms	(- (/ 1 (+ x 1)) (/ 1 x))
16.0ms	(/ 1 (+ x 1))

series46.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

31.0ms	(- (/ 1 (+ x 1)) (/ 1 x))
14.0ms	(/ 1 (+ x 1))

simplify3.0s

Counts

79 → 77

Calls

79 calls:

Slowest

505.0ms	(/ (* (* 1 1) 1) (* (* (+ x 1) (+ x 1)) (+ x 1)))
324.0ms	(- (/ 1 (pow x 3)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 2))))
264.0ms	(- (+ (/ 1 (pow x 3)) (/ 1 x)) (/ 1 (pow x 2)))
241.0ms	(- (+ (/ 1 (pow x 3)) (/ 1 x)) (/ 1 (pow x 2)))
232.0ms	(- (/ 1 (pow x 3)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 2))))

prune564.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.1b	(/ -1 (+ (* x x) x))
0.0b	(+ (* x x) x)

rewrite17.0ms

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

10.0ms	(/ -1 (+ (* x x) x))
6.0ms	(+ (* x x) x)

series93.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

60.0ms	(+ (* x x) x)
34.0ms	(/ -1 (+ (* x x) x))

simplify2.2s

Counts

49 → 58

Calls

49 calls:

Slowest

347.0ms	(+ (* (* x x) (* x x)) (- (* x x) (* (* x x) x)))
310.0ms	(- (/ 1 (pow x 3)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 2))))
249.0ms	(- (/ 1 (pow x 3)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 2))))
187.0ms	(/ (* (* -1 -1) -1) (* (* (+ (* x x) x) (+ (* x x) x)) (+ (* x x) x)))
86.0ms	(- 1 (+ x (/ 1 x)))

prune381.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

0.1b	(/ (/ -1 x) (+ x 1))

rewrite23.0ms

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

19.0ms

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

series36.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

36.0ms

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

simplify6.3s

Counts

128 → 90

Calls

128 calls:

Slowest

800.0ms	(/ (* (* (/ -1 x) (/ -1 x)) (/ -1 x)) (* (* (+ x 1) (+ x 1)) (+ x 1)))
357.0ms	(/ (/ (* (cbrt -1) (cbrt -1)) (* (cbrt x) (cbrt x))) (* (cbrt (+ x 1)) (cbrt (+ x 1))))
314.0ms	(- (/ 1 (pow x 3)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 2))))
292.0ms	(- (/ 1 (pow x 3)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 2))))
165.0ms	(/ (/ (* (cbrt -1) (cbrt -1)) (* (cbrt x) (cbrt x))) (sqrt (+ x 1)))

prune525.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 1 expressions with local error:

0.1b	(/ (/ -1 x) (+ x 1))

rewrite25.0ms

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

22.0ms

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

series40.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

40.0ms

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

simplify6.1s

Counts

128 → 90

Calls

128 calls:

Slowest

761.0ms	(/ (* (* (/ -1 x) (/ -1 x)) (/ -1 x)) (* (* (+ x 1) (+ x 1)) (+ x 1)))
391.0ms	(/ (/ (* (cbrt -1) (cbrt -1)) (* (cbrt x) (cbrt x))) (* (cbrt (+ x 1)) (cbrt (+ x 1))))
296.0ms	(- (/ 1 (pow x 3)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 2))))
272.0ms	(- (/ 1 (pow x 3)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 2))))
154.0ms	(/ (/ (* (cbrt -1) (cbrt -1)) (* (cbrt x) (cbrt x))) (sqrt (+ x 1)))

prune577.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes24.0ms

Accuracy

0% (0.1b remaining)

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

bsearch1.0ms

end0.0ms

sample2.0s

Algorithm

intervals

Results

841.0ms	4141×	body	80	valid
582.0ms	1952×	body	640	valid
333.0ms	1279×	body	320	valid
125.0ms	629×	body	160	valid