Details

sample295.0ms

Algorithm

intervals

Results

138.0ms	282×	body	10240	exit
66.0ms	113×	body	1280	valid
29.0ms	74×	body	640	valid
9.0ms	38×	body	320	valid
4.0ms	24×	body	160	valid
1.0ms	7×	body	80	valid

simplify79.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

79.0ms

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 59.4b

localize15.0ms

Local error

Found 2 expressions with local error:

6.1b	(- (exp x) (exp (- x)))
1.0b	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))

rewrite81.0ms

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))))
22.0ms	(- (exp x) (exp (- x)))

series176.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

117.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
58.0ms	(- (exp x) (exp (- x)))

simplify9.0s

Counts

118 → 85

Calls

118 calls:

Slowest

577.0ms	(* (* (- (exp x) (exp (- x))) (- (exp x) (exp (- x)))) (- (exp x) (exp (- x))))
433.0ms	(* (+ (exp x) (exp (- x))) (+ (* (exp x) (exp x)) (+ (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x))))))
332.0ms	(- (pow (exp x) 3) (pow (exp (- x)) 3))
327.0ms	(+ (* 2 x) (+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5))))
311.0ms	(* (* (/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x)))) (/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))) (/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x)))))

prune696.0ms

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)

series110.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

110.0ms

(tanh x)

simplify1.3s

Counts

19 → 16

Calls

19 calls:

Slowest

439.0ms	(* (* (tanh x) (tanh x)) (tanh x))
204.0ms	(/ (- (exp x) (exp (* -1 x))) (+ (exp (* -1 x)) (exp x)))
137.0ms	(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
80.0ms	(* (cbrt (tanh x)) (cbrt (tanh x)))
78.0ms	(- (exp (* 2 x)) 1)

prune100.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize17.0ms

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)

rewrite11.0ms

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

9.0ms	(* 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)

series236.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

135.0ms	(fma 2/15 (pow x 5) x)
76.0ms	(fma (* x -1/3) (* x x) (fma 2/15 (pow x 5) x))
26.0ms	(* x -1/3)

simplify3.7s

Counts

52 → 52

Calls

52 calls:

Slowest

534.0ms	(* (* (fma (* x -1/3) (* x x) (fma 2/15 (pow x 5) x)) (fma (* x -1/3) (* x x) (fma 2/15 (pow x 5) x))) (fma (* x -1/3) (* x x) (fma 2/15 (pow x 5) x)))
425.0ms	(* (cbrt (fma (* x -1/3) (* x x) (fma 2/15 (pow x 5) x))) (cbrt (fma (* x -1/3) (* x x) (fma 2/15 (pow x 5) x))))
199.0ms	(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
181.0ms	(* (* (* x -1/3) (* x -1/3)) (* x -1/3))
166.0ms	(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))

prune438.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes20.0ms

Accuracy

0% (0.0b remaining)

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

bsearch1.0ms

end1.0ms

sample10.9s

Algorithm

intervals

Results

5.5s	7309×	body	10240	exit
3.4s	3405×	body	1280	valid
1.2s	2352×	body	640	valid
380.0ms	1178×	body	320	valid
116.0ms	644×	body	160	valid
38.0ms	421×	body	80	valid