Details

sample247.0ms

Algorithm

intervals

Results

136.0ms	243×	body	10240	exit
56.0ms	102×	body	1280	valid
29.0ms	80×	body	640	valid
9.0ms	35×	body	320	valid
4.0ms	23×	body	160	valid
1.0ms	16×	body	80	valid

simplify72.0ms

Calls

1 calls:

Slowest

72.0ms

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

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.0b

localize34.0ms

Local error

Found 3 expressions with local error:

5.9b	(- (exp x) (exp (- x)))
1.5b	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
0.0b	(+ (exp x) (exp (- x)))

rewrite51.0ms

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

32.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
10.0ms	(- (exp x) (exp (- x)))
8.0ms	(+ (exp x) (exp (- x)))

series168.0ms

Calls

3 calls:

Slowest

80.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
60.0ms	(- (exp x) (exp (- x)))
27.0ms	(+ (exp x) (exp (- x)))

simplify3.4s

Calls

91 calls:

Slowest

193.0ms	(+ (* (exp x) (exp x)) (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x)))))
172.0ms	(- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x))))
162.0ms	(/ (* (* (- (exp x) (exp (- x))) (- (exp x) (exp (- x)))) (- (exp x) (exp (- x)))) (* (* (+ (exp x) (exp (- x))) (+ (exp x) (exp (- x)))) (+ (exp x) (exp (- x)))))
155.0ms	(- (pow (exp x) 3) (pow (exp (- x)) 3))
135.0ms	(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))

prune627.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize2.0ms

Local error

Found 1 expressions with local error:

0.0b

(tanh x)

rewrite0.0ms

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

0.0ms

(tanh x)

series101.0ms

Calls

1 calls:

Slowest

101.0ms

(tanh x)

simplify259.0ms

Calls

3 calls:

Slowest

153.0ms	(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
54.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
50.0ms	(/ (- (exp x) (exp (* -1 x))) (+ (exp (* -1 x)) (exp x)))

prune77.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.3b	(* x -1/3)
0.1b	(* (* x -1/3) x)
0.0b	(fma (* (* x -1/3) x) x (fma 2/15 (pow x 5) x))
0.0b	(fma 2/15 (pow x 5) x)

rewrite4.0ms

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

3.0ms	(* (* x -1/3) x)
0.0ms	(* 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)

series84.0ms

Calls

4 calls:

Slowest

44.0ms	(fma 2/15 (pow x 5) x)
23.0ms	(fma (* (* x -1/3) x) x (fma 2/15 (pow x 5) x))
11.0ms	(* (* x -1/3) x)
7.0ms	(* x -1/3)

simplify458.0ms

Calls

12 calls:

Slowest

146.0ms	(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
139.0ms	(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
110.0ms	(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
10.0ms	(+ x (* 2/15 (pow x 5)))
9.0ms	(+ x (* 2/15 (pow x 5)))

prune344.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes16.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

end0.0ms

sample9.2s

Algorithm

intervals

Results

4.9s	7447×	body	10240	exit
2.6s	3364×	body	1280	valid
1.1s	2433×	body	640	valid
316.0ms	1178×	body	320	valid
94.0ms	596×	body	160	valid
34.0ms	429×	body	80	valid