Details

sample75.0ms

Algorithm

intervals

Results

27.0ms	60×	body	1280	valid
21.0ms	41×	body	640	valid
9.0ms	130×	body	80	valid
4.0ms	17×	body	320	valid
1.0ms	8×	body	160	valid

simplify36.0ms

Calls

1 calls:

Slowest

36.0ms

(- (/ 2 (+ 1 (exp (* -2 x)))) 1)

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.7b

localize14.0ms

Local error

Found 2 expressions with local error:

2.6b	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
0.0b	(/ 2 (+ 1 (exp (* -2 x))))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

6×	`fma-neg`
5×	`add-sqr-sqrt`
4×	`*-un-lft-identity` `associate-/r/` `add-cube-cbrt`
3×	`associate-/r*` `add-exp-log`
2×	`expm1-log1p-u` `pow1` `flip3-+` `add-cbrt-cube` `flip-+` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp`
1×	`expm1-def` `clear-num` `sub-neg` `frac-2neg` `flip3--` `difference-of-sqr-1` `flip--`

Calls

2 calls:

Slowest

6.0ms	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
1.0ms	(/ 2 (+ 1 (exp (* -2 x))))

series80.0ms

Calls

2 calls:

Slowest

65.0ms	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
15.0ms	(/ 2 (+ 1 (exp (* -2 x))))

simplify1.1s

Calls

17 calls:

Slowest

201.0ms	(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
168.0ms	(+ (* 1 1) (- (* (exp (* -2 x)) (exp (* -2 x))) (* 1 (exp (* -2 x)))))
104.0ms	(- (+ x 1) (* 1/3 (pow x 3)))
82.0ms	(/ 2 (+ (pow 1 3) (pow (exp (* -2 x)) 3)))
64.0ms	(/ 2 (- (* 1 1) (* (exp (* -2 x)) (exp (* -2 x)))))

prune466.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize1.0ms

Local error

Found 2 expressions with local error:

2.6b	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
0.0b	(/ 2 (+ 1 (exp (* -2 x))))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

6×	`fma-neg`
5×	`add-sqr-sqrt`
4×	`*-un-lft-identity` `associate-/r/` `add-cube-cbrt`
3×	`associate-/r*` `add-exp-log`
2×	`expm1-log1p-u` `pow1` `flip3-+` `add-cbrt-cube` `flip-+` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp`
1×	`expm1-def` `clear-num` `sub-neg` `frac-2neg` `flip3--` `difference-of-sqr-1` `flip--`

Calls

2 calls:

Slowest

6.0ms	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
1.0ms	(/ 2 (+ 1 (exp (* -2 x))))

series87.0ms

Calls

2 calls:

Slowest

62.0ms	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
24.0ms	(/ 2 (+ 1 (exp (* -2 x))))

simplify947.0ms

Calls

17 calls:

Slowest

174.0ms	(+ (* 1 1) (- (* (exp (* -2 x)) (exp (* -2 x))) (* 1 (exp (* -2 x)))))
134.0ms	(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
121.0ms	(- (+ x 1) (* 1/3 (pow x 3)))
86.0ms	(/ 2 (+ (pow 1 3) (pow (exp (* -2 x)) 3)))
45.0ms	(+ (sqrt (/ 2 (+ 1 (exp (* -2 x))))) 1)

prune351.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

16.5b	(fma (* (* x -1/3) x) x (fma 2/15 (pow x 5) x))
0.4b	(* x -1/3)
0.1b	(* (* x -1/3) x)
0.0b	(fma 2/15 (pow x 5) x)

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`*-commutative` `fma-udef`
1×	`associate-l`

Calls

4 calls:

Slowest

5.0ms	(* (* x -1/3) x)
0.0ms	(fma (* (* x -1/3) x) x (fma 2/15 (pow x 5) x))
0.0ms	(* x -1/3)
0.0ms	(fma 2/15 (pow x 5) x)

series149.0ms

Calls

4 calls:

Slowest

79.0ms	(fma 2/15 (pow x 5) x)
39.0ms	(fma (* (* x -1/3) x) x (fma 2/15 (pow x 5) x))
18.0ms	(* (* x -1/3) x)
12.0ms	(* x -1/3)

simplify522.0ms

Calls

12 calls:

Slowest

158.0ms	(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
155.0ms	(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
124.0ms	(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
17.0ms	(+ x (* 2/15 (pow x 5)))
13.0ms	(+ x (* 2/15 (pow x 5)))

prune552.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes205.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 29.2b

bsearch161.0ms

end0.0ms

sample2.4s

Algorithm

intervals

Results

1.0s	1720×	body	1280	valid
597.0ms	1246×	body	640	valid
420.0ms	4105×	body	80	valid
197.0ms	609×	body	320	valid
59.0ms	320×	body	160	valid