Details

sample299.0ms

Algorithm

intervals

Results

167.0ms	224×	body	10240	exit
63.0ms	89×	body	1280	valid
37.0ms	82×	body	640	valid
14.0ms	48×	body	320	valid
6.0ms	29×	body	160	valid
1.0ms	8×	body	80	valid

simplify46.0ms

Calls

1 calls:

Slowest

46.0ms

(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 57.7b

localize31.0ms

Local error

Found 3 expressions with local error:

7.2b	(- (exp x) (exp (- x)))
1.0b	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
0.0b	(+ (exp x) (exp (- x)))

rewrite107.0ms

Algorithm

rewrite-expression-head

Rules

48×	`*-un-lft-identity`
34×	`add-sqr-sqrt`
22×	`add-cube-cbrt`
20×	`times-frac`
9×	`prod-diff`
7×	`distribute-lft-out` `add-log-exp`
6×	`distribute-lft-out--` `difference-of-squares`
5×	`add-cbrt-cube` `add-exp-log` `associate-/l*`
4×	`associate-/r*`
3×	`expm1-log1p-u` `pow1` `fma-def` `fma-neg` `insert-posit16` `log1p-expm1-u`
2×	`flip3-+` `flip3--` `associate-/r/` `flip-+` `flip--` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `sub-neg` `frac-2neg` `diff-log` `div-sub` `div-exp` `tanh-undef` `div-inv`

Calls

3 calls:

Slowest

74.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
18.0ms	(+ (exp x) (exp (- x)))
12.0ms	(- (exp x) (exp (- x)))

series189.0ms

Calls

3 calls:

Slowest

84.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
66.0ms	(- (exp x) (exp (- x)))
38.0ms	(+ (exp x) (exp (- x)))

simplify5.7s

Calls

91 calls:

Slowest

328.0ms	(- (pow (exp x) 3) (pow (exp (- x)) 3))
269.0ms	(+ (* 2 x) (+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5))))
235.0ms	(+ (* (exp x) (exp x)) (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x)))))
231.0ms	(/ (- (exp x) (exp (* -1 x))) (+ (exp (* -1 x)) (exp x)))
226.0ms	(- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x))))

prune628.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b

(tanh x)

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

1×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `insert-posit16` `log1p-expm1-u` `tanh-def` `add-log-exp`

Calls

1 calls:

Slowest

2.0ms

(tanh x)

series117.0ms

Calls

1 calls:

Slowest

116.0ms

(tanh x)

simplify495.0ms

Calls

3 calls:

Slowest

218.0ms	(/ (- (exp x) (exp (* -1 x))) (+ (exp (* -1 x)) (exp x)))
208.0ms	(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
68.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))

prune106.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize31.0ms

Local error

Found 3 expressions with local error:

0.3b	(* x -1/3)
0.0b	(fma (* x -1/3) (* x x) (fma 2/15 (pow x 5) x))
0.0b	(fma 2/15 (pow x 5) x)

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt`
5×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
3×	`expm1-log1p-u` `associate-r` `associate-l` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`fma-udef`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Calls

3 calls:

Slowest

11.0ms	(* x -1/3)
0.0ms	(fma (* x -1/3) (* x x) (fma 2/15 (pow x 5) x))
0.0ms	(fma 2/15 (pow x 5) x)

series322.0ms

Calls

3 calls:

Slowest

205.0ms	(fma 2/15 (pow x 5) x)
90.0ms	(fma (* x -1/3) (* x x) (fma 2/15 (pow x 5) x))
27.0ms	(* x -1/3)

simplify1.1s

Calls

18 calls:

Slowest

178.0ms	(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
177.0ms	(* (* (* x x) x) (* (* -1/3 -1/3) -1/3))
168.0ms	(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
164.0ms	(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
143.0ms	(+ x (* 2/15 (pow x 5)))

prune372.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes17.0ms

Accuracy

0% (0.0b remaining)

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

bsearch1.0ms

end0.0ms

sample10.9s

Algorithm

intervals

Results

6.2s	7802×	body	10240	exit
2.7s	3313×	body	1280	valid
1.1s	2423×	body	640	valid
407.0ms	1177×	body	320	valid
158.0ms	654×	body	160	valid
64.0ms	433×	body	80	valid