Details

sample297.0ms

Algorithm

intervals

Results

165.0ms	287×	body	10240	exit
67.0ms	102×	body	1280	valid
33.0ms	77×	body	640	valid
13.0ms	47×	body	320	valid
3.0ms	17×	body	160	valid
1.0ms	13×	body	80	valid

simplify133.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

132.0ms

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

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 57.8b

localize18.0ms

Local error

Found 2 expressions with local error:

5.3b	(- (exp x) (exp (- x)))
0.8b	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 79

Calls

2 calls:

Slowest

52.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
17.0ms	(- (exp x) (exp (- x)))

series173.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

124.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
49.0ms	(- (exp x) (exp (- x)))

simplify5.3s

Counts

84 → 85

Calls

84 calls:

Slowest

321.0ms	(- (pow (exp x) 3) (pow (exp (- x)) 3))
287.0ms	(/ (- (exp x) (exp (* -1 x))) (+ (exp (* -1 x)) (exp x)))
285.0ms	(+ (* 2 x) (+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5))))
261.0ms	(- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x))))
218.0ms	(fma (sqrt (exp x)) (sqrt (exp x)) (- (* (cbrt (exp (- x))) (* (cbrt (exp (- x))) (cbrt (exp (- x)))))))

prune620.0ms

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`

Counts

1 → 13

Calls

1 calls:

Slowest

3.0ms

(tanh x)

series101.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

101.0ms

(tanh x)

simplify501.0ms

Counts

3 → 16

Calls

3 calls:

Slowest

288.0ms	(/ (- (exp x) (exp (* -1 x))) (+ (exp (* -1 x)) (exp x)))
133.0ms	(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
80.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))

prune94.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize29.0ms

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)

rewrite6.0ms

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`

Counts

3 → 43

Calls

3 calls:

Slowest

6.0ms	(* 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)

series246.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

154.0ms	(fma 2/15 (pow x 5) x)
75.0ms	(fma (* x -1/3) (* x x) (fma 2/15 (pow x 5) x))
17.0ms	(* x -1/3)

simplify1.2s

Counts

18 → 52

Calls

18 calls:

Slowest

198.0ms	(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
195.0ms	(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
168.0ms	(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
167.0ms	(* (* (* x x) x) (* (* -1/3 -1/3) -1/3))
146.0ms	(+ x (* 2/15 (pow x 5)))

prune444.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes32.0ms

Accuracy

0% (0.0b remaining)

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

bsearch1.0ms

end0.0ms

sample11.4s

Algorithm

intervals

Results

6.4s	7637×	body	10240	exit
2.5s	3397×	body	1280	valid
1.2s	2441×	body	640	valid
836.0ms	1180×	body	320	valid
112.0ms	598×	body	160	valid
37.0ms	384×	body	80	valid