Details

sample284.0ms

Algorithm

intervals

Results

135.0ms	264×	body	10240	exit
88.0ms	100×	body	1280	valid
33.0ms	84×	body	640	valid
9.0ms	33×	body	320	valid
5.0ms	26×	body	160	valid
1.0ms	13×	body	80	valid

simplify112.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

112.0ms

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

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.9b

localize28.0ms

Local error

Found 2 expressions with local error:

7.9b	(- (exp x) (exp (- x)))
1.5b	(/ (- (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

57.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
13.0ms	(- (exp x) (exp (- x)))

series149.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

101.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
48.0ms	(- (exp x) (exp (- x)))

simplify6.0s

Counts

84 → 85

Calls

84 calls:

Slowest

637.0ms	(/ (- (exp x) (exp (* -1 x))) (+ (exp (* -1 x)) (exp x)))
393.0ms	(- (pow (exp x) 3) (pow (exp (- x)) 3))
317.0ms	(+ (* 2 x) (+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5))))
230.0ms	(- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x))))
209.0ms	(fma (* (cbrt (exp x)) (cbrt (exp x))) (cbrt (exp x)) (- (* (cbrt (exp (- x))) (* (cbrt (exp (- x))) (cbrt (exp (- x)))))))

prune649.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize3.0ms

Local error

Found 1 expressions with local error:

0.0b

(tanh x)

rewrite1.0ms

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

1.0ms

(tanh x)

series126.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

126.0ms

(tanh x)

simplify458.0ms

Counts

3 → 16

Calls

3 calls:

Slowest

238.0ms	(/ (- (exp x) (exp (* -1 x))) (+ (exp (* -1 x)) (exp x)))
137.0ms	(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
82.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))

prune105.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize27.0ms

Local error

Found 3 expressions with local error:

7.9b	(- (exp (* 2 x)) 1)
0.5b	(/ (- (exp (* 2 x)) 1) (+ (exp (* 2 x)) 1))
0.0b	(+ (exp (* 2 x)) 1)

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

60×	`*-un-lft-identity`
48×	`add-sqr-sqrt`
28×	`times-frac`
24×	`add-cube-cbrt`
12×	`difference-of-squares`
9×	`prod-diff` `distribute-lft-out`
7×	`associate-/l*` `add-log-exp`
6×	`difference-of-sqr-1` `distribute-lft-out--`
5×	`add-cbrt-cube` `add-exp-log`
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` `expm1-def` `clear-num` `sum-log` `sub-neg` `frac-2neg` `diff-log` `div-sub` `div-exp` `div-inv`

Counts

3 → 109

Calls

3 calls:

Slowest

56.0ms	(/ (- (exp (* 2 x)) 1) (+ (exp (* 2 x)) 1))
13.0ms	(+ (exp (* 2 x)) 1)
13.0ms	(- (exp (* 2 x)) 1)

series129.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

91.0ms	(/ (- (exp (* 2 x)) 1) (+ (exp (* 2 x)) 1))
19.0ms	(+ (exp (* 2 x)) 1)
19.0ms	(- (exp (* 2 x)) 1)

simplify17.4s

Counts

113 → 118

Calls

113 calls:

Slowest

798.0ms	(/ (* (* (- (exp (* 2 x)) 1) (- (exp (* 2 x)) 1)) (- (exp (* 2 x)) 1)) (* (* (+ (exp (* 2 x)) 1) (+ (exp (* 2 x)) 1)) (+ (exp (* 2 x)) 1)))
317.0ms	(/ (- (exp (* 2 x)) 1) (cbrt (+ (exp (* 2 x)) 1)))
308.0ms	(/ (- (exp (* 2 x)) 1) (+ (exp (* 2 x)) 1))
304.0ms	(- (pow (exp (* 2 x)) 3) (pow 1 3))
303.0ms	(+ (* 2 x) (+ (* 4/3 (pow x 3)) (* 2 (pow x 2))))

prune975.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes27.0ms

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

5.7s	7730×	body	10240	exit
2.5s	3326×	body	1280	valid
1.8s	2432×	body	640	valid
841.0ms	1202×	body	320	valid
186.0ms	651×	body	160	valid
37.0ms	389×	body	80	valid