Details

sample313.0ms

Algorithm

intervals

Results

99.0ms	72×	body	10240	exit
95.0ms	58×	body	1280	valid
55.0ms	315×	body	80	valid
21.0ms	32×	body	640	valid
12.0ms	23×	body	320	valid
3.0ms	9×	body	160	valid

simplify387.0ms

Calls

1 calls:

Slowest

387.0ms

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

prune21.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.2b

localize63.0ms

Local error

Found 4 expressions with local error:

3.2b	(- (+ (/ (exp (* x (+ -1 eps))) eps) (exp (* x (+ -1 eps)))) (- (/ (exp (* x (- -1 eps))) eps) (exp (* x (- -1 eps)))))
0.0b	(exp (* x (- -1 eps)))
0.0b	(exp (* x (- -1 eps)))
0.0b	(exp (* x (+ -1 eps)))

rewrite588.0ms

Algorithm

rewrite-expression-head

Rules

4807×	`prod-diff`
3434×	`exp-sum`
2725×	`*-un-lft-identity`
2713×	`add-sqr-sqrt`
2691×	`add-cube-cbrt`
1977×	`associate--r+`
1879×	`times-frac`
1717×	`distribute-rgt-in` `distribute-lft-in`
314×	`sub-neg`
25×	`div-inv`
22×	`add-log-exp`
10×	`distribute-lft-out--`
9×	`distribute-lft-out` `difference-of-squares`
6×	`diff-log`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `fma-neg` `add-exp-log` `frac-sub` `insert-posit16` `log1p-expm1-u`
3×	`exp-prod` `flip3--` `exp-to-pow` `flip--` `rem-exp-log`
2×	`sum-log` `flip3-+` `flip-+`
1×	`associate--l+` `associate--r-`

Calls

4 calls:

Slowest

313.0ms	(- (+ (/ (exp (* x (+ -1 eps))) eps) (exp (* x (+ -1 eps)))) (- (/ (exp (* x (- -1 eps))) eps) (exp (* x (- -1 eps)))))
14.0ms	(exp (* x (- -1 eps)))
14.0ms	(exp (* x (- -1 eps)))
10.0ms	(exp (* x (+ -1 eps)))

series220.0ms

Calls

4 calls:

Slowest

148.0ms	(- (+ (/ (exp (* x (+ -1 eps))) eps) (exp (* x (+ -1 eps)))) (- (/ (exp (* x (- -1 eps))) eps) (exp (* x (- -1 eps)))))
26.0ms	(exp (* x (- -1 eps)))
24.0ms	(exp (* x (- -1 eps)))
22.0ms	(exp (* x (+ -1 eps)))

simplify6.7m

Calls

2114 calls:

Slowest

923.0ms	(fma (sqrt (+ (/ (exp (* x (+ -1 eps))) eps) (exp (* x (+ -1 eps))))) (sqrt (+ (/ (exp (* x (+ -1 eps))) eps) (exp (* x (+ -1 eps))))) (- (* (- (/ (exp (* x (- -1 eps))) eps) (exp (* x (- -1 eps)))) 1)))
891.0ms	(fma (- (exp (* (- eps) x))) (exp (* -1 x)) (* (exp (* (- eps) x)) (exp (* -1 x))))
854.0ms	(fma (- (exp (* x (- eps)))) (exp (* x -1)) (* (exp (* x (- eps))) (exp (* x -1))))
822.0ms	(fma (- (exp (* x (- eps)))) (exp (* x -1)) (* (exp (* x (- eps))) (exp (* x -1))))
800.0ms	(fma (- (exp (* x (fma (- (cbrt eps)) (* (cbrt eps) (cbrt eps)) (* (cbrt eps) (* (cbrt eps) (cbrt eps))))))) (exp (* x (fma 1 -1 (- (* (cbrt eps) (* (cbrt eps) (cbrt eps))))))) (* (exp (* x (fma (- (cbrt eps)) (* (cbrt eps) (cbrt eps)) (* (cbrt eps) (* (cbrt eps) (cbrt eps)))))) (exp (* x (fma 1 -1 (- (* (cbrt eps) (* (cbrt eps) (cbrt eps)))))))))

prune27.0s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.5b

localize40.0ms

Local error

Found 4 expressions with local error:

2.2b	(- (/ (exp (* x (- -1 eps))) eps) (/ (exp (* (+ -1 eps) x)) eps))
0.2b	(log (exp (- (+ (exp (* (+ -1 eps) x)) (exp (* x (- -1 eps)))) (- (/ (exp (* x (- -1 eps))) eps) (/ (exp (* (+ -1 eps) x)) eps)))))
0.0b	(exp (- (+ (exp (* (+ -1 eps) x)) (exp (* x (- -1 eps)))) (- (/ (exp (* x (- -1 eps))) eps) (/ (exp (* (+ -1 eps) x)) eps))))
0.0b	(exp (* x (- -1 eps)))

rewrite1.0s

Algorithm

rewrite-expression-head

Rules

1897×	`prod-diff`
1851×	`times-frac`
1676×	`*-un-lft-identity`
1644×	`add-sqr-sqrt`
1532×	`add-cube-cbrt`
1050×	`exp-sum`
473×	`distribute-rgt-in` `distribute-lft-in`
111×	`div-inv`
89×	`sub-neg`
79×	`fma-neg`
55×	`log-prod`
48×	`distribute-lft-out--`
38×	`difference-of-squares`
28×	`distribute-lft-out`
21×	`add-log-exp`
17×	`exp-prod`
9×	`distribute-rgt-out--` `log-pow`
7×	`diff-log`
6×	`rem-exp-log`
5×	`pow1`
4×	`expm1-log1p-u` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u`
2×	`sum-log` `exp-diff` `associate--l+` `associate--r-`
1×	`log-div` `flip3--` `exp-to-pow` `rem-log-exp` `frac-sub` `flip--` `sub-div`

Calls

4 calls:

Slowest

465.0ms	(log (exp (- (+ (exp (* (+ -1 eps) x)) (exp (* x (- -1 eps)))) (- (/ (exp (* x (- -1 eps))) eps) (/ (exp (* (+ -1 eps) x)) eps)))))
447.0ms	(exp (- (+ (exp (* (+ -1 eps) x)) (exp (* x (- -1 eps)))) (- (/ (exp (* x (- -1 eps))) eps) (/ (exp (* (+ -1 eps) x)) eps))))
48.0ms	(- (/ (exp (* x (- -1 eps))) eps) (/ (exp (* (+ -1 eps) x)) eps))
7.0ms	(exp (* x (- -1 eps)))

series325.0ms

Calls

4 calls:

Slowest

149.0ms	(exp (- (+ (exp (* (+ -1 eps) x)) (exp (* x (- -1 eps)))) (- (/ (exp (* x (- -1 eps))) eps) (/ (exp (* (+ -1 eps) x)) eps))))
107.0ms	(log (exp (- (+ (exp (* (+ -1 eps) x)) (exp (* x (- -1 eps)))) (- (/ (exp (* x (- -1 eps))) eps) (/ (exp (* (+ -1 eps) x)) eps)))))
55.0ms	(- (/ (exp (* x (- -1 eps))) eps) (/ (exp (* (+ -1 eps) x)) eps))
14.0ms	(exp (* x (- -1 eps)))