Details

sample297.0ms

Algorithm

intervals

Results

128.0ms	226×	body	10240	exit
96.0ms	83×	body	1280	valid
39.0ms	89×	body	640	valid
13.0ms	43×	body	320	valid
5.0ms	27×	body	160	valid
1.0ms	14×	body	80	valid

simplify67.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

67.0ms

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 57.4b

localize36.0ms

Local error

Found 3 expressions with local error:

6.8b	(- (exp x) (exp (- x)))
1.0b	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
0.0b	(+ (exp x) (exp (- x)))

rewrite98.0ms

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`

Counts

3 → 97

Calls

3 calls:

Slowest

64.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
20.0ms	(+ (exp x) (exp (- x)))
12.0ms	(- (exp x) (exp (- x)))

series226.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

137.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
47.0ms	(- (exp x) (exp (- x)))
42.0ms	(+ (exp x) (exp (- x)))

simplify5.6s

Counts

91 → 106

Calls

91 calls:

Slowest

398.0ms	(- (pow (exp x) 3) (pow (exp (- x)) 3))
358.0ms	(+ (* 2 x) (+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5))))
263.0ms	(/ (- (exp x) (exp (* -1 x))) (+ (exp (* -1 x)) (exp x)))
247.0ms	(+ (* (exp x) (exp x)) (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x)))))
245.0ms	(fma (* (cbrt (exp x)) (cbrt (exp x))) (cbrt (exp x)) (- (* (cbrt (exp (- x))) (* (cbrt (exp (- x))) (cbrt (exp (- x)))))))

prune834.0ms

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)

series102.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

102.0ms

(tanh x)

simplify535.0ms

Counts

3 → 16

Calls

3 calls:

Slowest

277.0ms	(/ (- (exp x) (exp (* -1 x))) (+ (exp (* -1 x)) (exp x)))
177.0ms	(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
81.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))

prune126.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize35.0ms

Local error

Found 3 expressions with local error:

0.4b	(* 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`

Counts

3 → 43

Calls

3 calls:

Slowest

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

series313.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

201.0ms	(fma 2/15 (pow x 5) x)
79.0ms	(fma (* x -1/3) (* x x) (fma 2/15 (pow x 5) x))
33.0ms	(* x -1/3)

simplify1.5s

Counts

18 → 52

Calls

18 calls:

Slowest

581.0ms	(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
179.0ms	(* (* (* x x) x) (* (* -1/3 -1/3) -1/3))
158.0ms	(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
157.0ms	(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
135.0ms	(+ x (* 2/15 (pow x 5)))

prune408.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes28.0ms

Accuracy

0% (0.0b remaining)

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

bsearch1.0ms

end0.0ms

sample10.5s

Algorithm

intervals

Results

5.4s	7609×	body	10240	exit
2.3s	3259×	body	1280	valid
1.6s	2427×	body	640	valid
736.0ms	1272×	body	320	valid
115.0ms	646×	body	160	valid
37.0ms	396×	body	80	valid