Details

sample319.0ms

Algorithm

intervals

Results

143.0ms	265×	body	10240	exit
75.0ms	109×	body	1280	valid
69.0ms	81×	body	640	valid
10.0ms	33×	body	320	valid
3.0ms	18×	body	160	valid
1.0ms	15×	body	80	valid

simplify96.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

96.0ms

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

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 57.9b

localize30.0ms

Local error

Found 3 expressions with local error:

4.8b	(- (exp x) (exp (- x)))
1.2b	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
0.0b	(+ (exp x) (exp (- x)))

rewrite130.0ms

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

85.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
26.0ms	(- (exp x) (exp (- x)))
18.0ms	(+ (exp x) (exp (- x)))

series218.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

117.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
52.0ms	(- (exp x) (exp (- x)))
49.0ms	(+ (exp x) (exp (- x)))

simplify6.0s

Counts

91 → 106

Calls

91 calls:

Slowest

521.0ms	(fma (- (cbrt (exp (- x)))) (* (cbrt (exp (- x))) (cbrt (exp (- x)))) (* (cbrt (exp (- x))) (* (cbrt (exp (- x))) (cbrt (exp (- x))))))
353.0ms	(- (pow (exp x) 3) (pow (exp (- x)) 3))
331.0ms	(+ (* 2 x) (+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5))))
260.0ms	(- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x))))
248.0ms	(+ (* (exp x) (exp x)) (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x)))))

prune871.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize3.0ms

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

1.0ms

(tanh x)

series133.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

133.0ms

(tanh x)

simplify534.0ms

Counts

3 → 16

Calls

3 calls:

Slowest

283.0ms	(/ (- (exp x) (exp (* -1 x))) (+ (exp (* -1 x)) (exp x)))
185.0ms	(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
66.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))

prune154.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize16.0ms

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

5.0ms	(* 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)

series272.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

188.0ms	(fma 2/15 (pow x 5) x)
68.0ms	(fma (* x -1/3) (* x x) (fma 2/15 (pow x 5) x))
16.0ms	(* x -1/3)

simplify1.2s

Counts

18 → 52

Calls

18 calls:

Slowest

216.0ms	(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
214.0ms	(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
197.0ms	(* (* (* x x) x) (* (* -1/3 -1/3) -1/3))
172.0ms	(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
133.0ms	(+ x (* 2/15 (pow x 5)))

prune435.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes29.0ms

Accuracy

0% (0.0b remaining)

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

bsearch1.0ms

end0.0ms

sample10.9s

Algorithm

intervals

Results

6.1s	7648×	body	10240	exit
2.7s	3287×	body	1280	valid
1.2s	2479×	body	640	valid
370.0ms	1155×	body	320	valid
136.0ms	627×	body	160	valid
42.0ms	452×	body	80	valid