Details

sample59.0ms

Algorithm

intervals

Results

21.0ms	61×	body	640	valid
12.0ms	131×	body	80	valid
12.0ms	45×	body	320	valid
3.0ms	19×	body	160	valid

simplify43.0ms

Calls

1 calls:

Slowest

42.0ms

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.7b

localize11.0ms

Local error

Found 2 expressions with local error:

2.4b	(- (/ 1 (+ x 1)) (/ 1 x))
0.0b	(/ 1 (+ x 1))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

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

Calls

2 calls:

Slowest

6.0ms	(- (/ 1 (+ x 1)) (/ 1 x))
1.0ms	(/ 1 (+ x 1))

series53.0ms

Calls

2 calls:

Slowest

31.0ms	(- (/ 1 (+ x 1)) (/ 1 x))
22.0ms	(/ 1 (+ x 1))

simplify832.0ms

Calls

21 calls:

Slowest

126.0ms	(- (/ 1 (pow x 3)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 2))))
114.0ms	(- (/ 1 (pow x 3)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 2))))
97.0ms	(- (+ (/ 1 (pow x 3)) (/ 1 x)) (/ 1 (pow x 2)))
81.0ms	(- 1 (+ x (/ 1 x)))
67.0ms	(/ (exp (/ 1 (+ x 1))) (exp (/ 1 x)))

prune246.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 1 expressions with local error:

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

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

4×	`associate-/r*`
2×	`add-sqr-sqrt` `*-un-lft-identity` `associate-/r/` `add-cube-cbrt`
1×	`pow1` `clear-num` `frac-2neg` `distribute-lft1-in` `flip3-+` `add-cbrt-cube` `add-exp-log` `flip-+` `insert-posit16` `div-inv` `add-log-exp`

Calls

1 calls:

Slowest

3.0ms

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

series21.0ms

Calls

1 calls:

Slowest

21.0ms

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

simplify582.0ms

Calls

8 calls:

Slowest

225.0ms	(+ (* (* x x) (* x x)) (- (* x x) (* (* x x) x)))
121.0ms	(- (/ 1 (pow x 3)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 2))))
98.0ms	(- (/ 1 (pow x 3)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 2))))
90.0ms	(- 1 (+ x (/ 1 x)))
15.0ms	(cbrt (+ (* x x) x))

prune148.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

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

Calls

2 calls:

Slowest

7.0ms	(/ (/ -1 (+ x 1)) x)
1.0ms	(/ -1 (+ x 1))

series60.0ms

Calls

2 calls:

Slowest

37.0ms	(/ (/ -1 (+ x 1)) x)
23.0ms	(/ -1 (+ x 1))

simplify722.0ms

Calls

15 calls:

Slowest

119.0ms	(- (/ 1 (pow x 3)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 2))))
114.0ms	(- (/ 1 (pow x 3)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 2))))
97.0ms	(- (/ 1 (pow x 2)) (+ (/ 1 (pow x 3)) (/ 1 x)))
96.0ms	(- (/ 1 (pow x 2)) (+ (/ 1 (pow x 3)) (/ 1 x)))
72.0ms	(- x (+ (pow x 2) 1))

prune210.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (+ x 1))
0.3b	(cbrt (+ x 1))
0.3b	(cbrt (+ x 1))
0.3b	(* (cbrt (+ x 1)) (cbrt (+ x 1)))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Calls

4 calls:

Slowest

7.0ms	(* (cbrt (+ x 1)) (cbrt (+ x 1)))
1.0ms	(cbrt (+ x 1))
1.0ms	(cbrt (+ x 1))
1.0ms	(cbrt (+ x 1))

series174.0ms

Calls

4 calls:

Slowest

48.0ms	(cbrt (+ x 1))
45.0ms	(cbrt (+ x 1))
42.0ms	(cbrt (+ x 1))
40.0ms	(* (cbrt (+ x 1)) (cbrt (+ x 1)))

simplify3.1s

Calls

59 calls:

Slowest

272.0ms	(- (+ (exp (* 1/3 (- (log -1) (log (/ -1 x))))) (* 1/3 (/ (exp (* 1/3 (- (log -1) (log (/ -1 x))))) x))) (* 1/9 (/ (exp (* 1/3 (- (log -1) (log (/ -1 x))))) (pow x 2))))
267.0ms	(- (+ (exp (* 1/3 (- (log -1) (log (/ -1 x))))) (* 1/3 (/ (exp (* 1/3 (- (log -1) (log (/ -1 x))))) x))) (* 1/9 (/ (exp (* 1/3 (- (log -1) (log (/ -1 x))))) (pow x 2))))
237.0ms	(- (+ (exp (* 1/3 (- (log -1) (log (/ -1 x))))) (* 1/3 (/ (exp (* 1/3 (- (log -1) (log (/ -1 x))))) x))) (* 1/9 (/ (exp (* 1/3 (- (log -1) (log (/ -1 x))))) (pow x 2))))
136.0ms	(- (+ (* 1/3 x) 1) (* 1/9 (pow x 2)))
131.0ms	(- (+ (* 1/3 x) 1) (* 1/9 (pow x 2)))

prune1.2s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes37.0ms

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

567.0ms	1910×	body	640	valid
309.0ms	4243×	body	80	valid
279.0ms	1210×	body	320	valid
131.0ms	637×	body	160	valid