Details

sample55.0ms

Algorithm

intervals

Results

18.0ms	49×	body	640	valid
11.0ms	143×	body	80	valid
10.0ms	39×	body	320	valid
4.0ms	25×	body	160	valid

simplify32.0ms

Calls

1 calls:

Slowest

32.0ms

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.9b

localize11.0ms

Local error

Found 2 expressions with local error:

2.5b	(- (/ 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

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

series47.0ms

Calls

2 calls:

Slowest

25.0ms	(/ 1 (+ x 1))
21.0ms	(- (/ 1 (+ x 1)) (/ 1 x))

simplify921.0ms

Calls

21 calls:

Slowest

134.0ms	(- (/ 1 (pow x 3)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 2))))
129.0ms	(- (/ 1 (pow x 3)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 2))))
112.0ms	(- (+ (/ 1 (pow x 3)) (/ 1 x)) (/ 1 (pow x 2)))
84.0ms	(- 1 (+ x (/ 1 x)))
74.0ms	(- (+ (/ 1 (pow x 3)) (/ 1 x)) (/ 1 (pow x 2)))

prune317.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.3b	(/ -1 (+ (* x x) x))
0.0b	(+ (* x x) x)

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

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

Calls

2 calls:

Slowest

2.0ms	(+ (* x x) x)
2.0ms	(/ -1 (+ (* x x) x))

series31.0ms

Calls

2 calls:

Slowest

21.0ms	(+ (* x x) x)
10.0ms	(/ -1 (+ (* x x) x))

simplify703.0ms

Calls

12 calls:

Slowest

264.0ms	(+ (* (* x x) (* x x)) (- (* x x) (* (* x x) x)))
147.0ms	(- (/ 1 (pow x 3)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 2))))
118.0ms	(- (/ 1 (pow x 3)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 2))))
61.0ms	(- 1 (+ x (/ 1 x)))
28.0ms	(sqrt (+ (* x x) x))

prune226.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite5.0ms

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

4.0ms	(/ (/ -1 (+ x 1)) x)
1.0ms	(/ -1 (+ x 1))

series25.0ms

Calls

2 calls:

Slowest

14.0ms	(/ (/ -1 (+ x 1)) x)
10.0ms	(/ -1 (+ x 1))

simplify688.0ms

Calls

15 calls:

Slowest

108.0ms	(- (/ 1 (pow x 3)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 2))))
102.0ms	(- (/ 1 (pow x 3)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 2))))
96.0ms	(- (/ 1 (pow x 2)) (+ (/ 1 (pow x 3)) (/ 1 x)))
68.0ms	(- (/ 1 (pow x 2)) (+ (/ 1 (pow x 3)) (/ 1 x)))
67.0ms	(/ -1 (- (* x x) (* 1 1)))

prune286.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 3 expressions with local error:

0.3b	(/ -1 (+ -1 (* x x)))
0.0b	(/ (/ -1 (+ -1 (* x x))) (/ x (- x 1)))
0.0b	(/ x (- x 1))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Calls

3 calls:

Slowest

9.0ms	(/ (/ -1 (+ -1 (* x x))) (/ x (- x 1)))
1.0ms	(/ -1 (+ -1 (* x x)))
1.0ms	(/ x (- x 1))

series44.0ms

Calls

3 calls:

Slowest

17.0ms	(/ (/ -1 (+ -1 (* x x))) (/ x (- x 1)))
17.0ms	(/ -1 (+ -1 (* x x)))
10.0ms	(/ x (- x 1))

simplify15.0s

Calls

104 calls:

Slowest

502.0ms	(/ (/ -1 (- (* -1 -1) (* (* x x) (* x x)))) 1)
477.0ms	(/ (/ 1 (+ -1 (* x x))) (/ 1 (- x 1)))
474.0ms	(/ (+ (* -1 -1) (- (* (* x x) (* x x)) (* -1 (* x x)))) (+ (* x x) (+ (* 1 1) (* x 1))))
431.0ms	(- (log (/ -1 (+ -1 (* x x)))) (log (/ x (- x 1))))
364.0ms	(/ -1 (- (* -1 -1) (* (* x x) (* x x))))

prune902.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes27.0ms

Accuracy

0% (0.1b remaining)

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

bsearch1.0ms

end0.0ms

sample1.8s

Algorithm

intervals

Results

998.0ms	1858×	body	640	valid
284.0ms	4199×	body	80	valid
260.0ms	1304×	body	320	valid
140.0ms	641×	body	160	valid