Details

sample252.0ms

Algorithm

intervals

Results

106.0ms	233×	body	10240	exit
86.0ms	102×	body	1280	valid
31.0ms	77×	body	640	valid
11.0ms	41×	body	320	valid
2.0ms	17×	body	160	valid
2.0ms	19×	body	80	valid

simplify70.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

70.0ms

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

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 57.1b

localize46.0ms

Local error

Found 2 expressions with local error:

5.7b	(- (exp x) (exp (- x)))
1.2b	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))

rewrite88.0ms

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

63.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
24.0ms	(- (exp x) (exp (- x)))

series152.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

104.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
48.0ms	(- (exp x) (exp (- x)))

simplify5.8s

Counts

84 → 85

Calls

84 calls:

Slowest

398.0ms	(- (pow (exp x) 3) (pow (exp (- x)) 3))
287.0ms	(/ (- (exp x) (exp (* -1 x))) (+ (exp (* -1 x)) (exp x)))
277.0ms	(+ (* 2 x) (+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5))))
245.0ms	(/ (* (* (- (exp x) (exp (- x))) (- (exp x) (exp (- x)))) (- (exp x) (exp (- x)))) (* (* (+ (exp x) (exp (- x))) (+ (exp x) (exp (- x)))) (+ (exp x) (exp (- x)))))
240.0ms	(+ (* (exp x) (exp x)) (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x)))))

prune775.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b

(tanh x)

rewrite2.0ms

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

2.0ms

(tanh x)

series96.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

96.0ms

(tanh x)

simplify511.0ms

Counts

3 → 16

Calls

3 calls:

Slowest

254.0ms	(/ (- (exp x) (exp (* -1 x))) (+ (exp (* -1 x)) (exp x)))
181.0ms	(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
75.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))

prune115.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

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)

rewrite7.0ms

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

series288.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

175.0ms	(fma 2/15 (pow x 5) x)
87.0ms	(fma (* x -1/3) (* x x) (fma 2/15 (pow x 5) x))
26.0ms	(* x -1/3)

simplify1.0s

Counts

18 → 52

Calls

18 calls:

Slowest

199.0ms	(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
183.0ms	(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
146.0ms	(* (* (* x x) x) (* (* -1/3 -1/3) -1/3))
133.0ms	(+ x (* 2/15 (pow x 5)))
125.0ms	(+ x (* 2/15 (pow x 5)))

prune511.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

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

sample10.6s

Algorithm

intervals

Results

5.4s	7545×	body	10240	exit
2.9s	3335×	body	1280	valid
1.5s	2514×	body	640	valid
443.0ms	1205×	body	320	valid
100.0ms	556×	body	160	valid
59.0ms	390×	body	80	valid