Details

sample31.0ms

Algorithm

intervals

Results

11.0ms	61×	body	640	valid
6.0ms	135×	body	80	valid
6.0ms	41×	body	320	valid
2.0ms	19×	body	160	valid

simplify19.0ms

Calls

1 calls:

Slowest

19.0ms

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.9b

localize20.0ms

Local error

Found 2 expressions with local error:

3.6b	(- (/ 1 (+ x 1)) (/ 1 x))
0.0b	(/ 1 (+ x 1))

rewrite40.0ms

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`

Calls

2 calls:

Slowest

29.0ms	(- (/ 1 (+ x 1)) (/ 1 x))
9.0ms	(/ 1 (+ x 1))

series55.0ms

Calls

2 calls:

Slowest

31.0ms	(- (/ 1 (+ x 1)) (/ 1 x))
24.0ms	(/ 1 (+ x 1))

simplify2.8s

Calls

79 calls:

Slowest

448.0ms	(/ (* (* 1 1) 1) (* (* (+ x 1) (+ x 1)) (+ x 1)))
284.0ms	(- (/ 1 (pow x 3)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 2))))
240.0ms	(- (/ 1 (pow x 3)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 2))))
235.0ms	(- (+ (/ 1 (pow x 3)) (/ 1 x)) (/ 1 (pow x 2)))
227.0ms	(- (+ (/ 1 (pow x 3)) (/ 1 x)) (/ 1 (pow x 2)))

prune512.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite28.0ms

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`

Calls

2 calls:

Slowest

20.0ms	(/ -1 (+ (* x x) x))
7.0ms	(+ (* x x) x)

series96.0ms

Calls

2 calls:

Slowest

74.0ms	(+ (* x x) x)
21.0ms	(/ -1 (+ (* x x) x))

simplify1.9s

Calls

49 calls:

Slowest

280.0ms	(+ (* (* x x) (* x x)) (- (* x x) (* (* x x) x)))
279.0ms	(- (/ 1 (pow x 3)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 2))))
241.0ms	(- (/ 1 (pow x 3)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 2))))
136.0ms	(/ (* (* -1 -1) -1) (* (* (+ (* x x) x) (+ (* x x) x)) (+ (* x x) x)))
80.0ms	(- 1 (+ x (/ 1 x)))

prune352.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 1 expressions with local error:

0.0b	(/ (/ -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/`

Calls

1 calls:

Slowest

22.0ms

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

series30.0ms

Calls

1 calls:

Slowest

30.0ms

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

simplify5.8s

Calls

128 calls:

Slowest

703.0ms	(/ (* (* (/ -1 x) (/ -1 x)) (/ -1 x)) (* (* (+ x 1) (+ x 1)) (+ x 1)))
316.0ms	(/ (/ (* (cbrt -1) (cbrt -1)) (* (cbrt x) (cbrt x))) (* (cbrt (+ x 1)) (cbrt (+ x 1))))
277.0ms	(- (/ 1 (pow x 3)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 2))))
264.0ms	(- (/ 1 (pow x 3)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 2))))
168.0ms	(/ (/ (* (cbrt -1) (cbrt -1)) (sqrt x)) (* (cbrt (+ x 1)) (cbrt (+ x 1))))

prune603.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

15.3b	(cbrt (+ (* x x) x))
15.3b	(cbrt (+ (* x x) x))
15.3b	(cbrt (+ (* x x) x))
0.4b	(* (cbrt (+ (* x x) x)) (cbrt (+ (* x x) x)))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

39×	`cbrt-prod`
23×	`add-sqr-sqrt`
22×	`*-un-lft-identity`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
8×	`swap-sqr` `associate-r` `associate-l`
7×	`distribute-lft1-in` `distribute-rgt-out`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `insert-posit16` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Calls

4 calls:

Slowest

47.0ms	(* (cbrt (+ (* x x) x)) (cbrt (+ (* x x) x)))
4.0ms	(cbrt (+ (* x x) x))
4.0ms	(cbrt (+ (* x x) x))
4.0ms	(cbrt (+ (* x x) x))

series243.0ms

Calls

4 calls:

Slowest

73.0ms	(* (cbrt (+ (* x x) x)) (cbrt (+ (* x x) x)))
64.0ms	(cbrt (+ (* x x) x))
63.0ms	(cbrt (+ (* x x) x))
44.0ms	(cbrt (+ (* x x) x))

simplify10.5s

Calls

97 calls:

Slowest

785.0ms	(* (+ (* x x) x) (+ (* x x) x))
502.0ms	(* (cbrt (+ (pow (* x x) 3) (pow x 3))) (cbrt (+ (* x x) x)))
481.0ms	(cbrt (+ (pow (* x x) 3) (pow x 3)))
467.0ms	(cbrt (+ (pow (* x x) 3) (pow x 3)))
455.0ms	(cbrt (+ (pow (* x x) 3) (pow x 3)))

prune1.1s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes23.0ms

Accuracy

0% (0.1b remaining)

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

bsearch1.0ms

end0.0ms

sample1.4s

Algorithm

intervals

Results

639.0ms	1995×	body	640	valid
286.0ms	4188×	body	80	valid
281.0ms	1216×	body	320	valid
81.0ms	601×	body	160	valid