Details

sample316.0ms

Algorithm

intervals

Results

170.0ms	259×	body	10240	exit
76.0ms	113×	body	1280	valid
38.0ms	75×	body	640	valid
10.0ms	35×	body	320	valid
4.0ms	22×	body	160	valid
1.0ms	11×	body	80	valid

simplify130.0ms

Counts: 1 → 1

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 57.8b

localize35.0ms

Local error

Found 3 expressions with local error:

6.5b	(- (exp x) (exp (- x)))
1.0b	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
0.0b	(+ (exp x) (exp (- x)))

rewrite107.0ms

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))))
24.0ms	(- (exp x) (exp (- x)))
17.0ms	(+ (exp x) (exp (- x)))

series176.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

96.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
52.0ms	(- (exp x) (exp (- x)))
29.0ms	(+ (exp x) (exp (- x)))

simplify1.1s

Counts: 106 → 106

prune611.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize3.0ms

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)

series99.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

98.0ms

(tanh x)

simplify908.0ms

Counts: 16 → 16

prune108.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 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)

series86.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

86.0ms

(tanh x)

simplify827.0ms

Counts: 16 → 16

prune108.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 3 expressions with local error:

0.2b	(* -1/3 (* x x))
0.0b	(fma x (* -1/3 (* x x)) (fma (pow x 5) 2/15 x))
0.0b	(fma (pow x 5) 2/15 x)

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

8×	`pow1` `add-cbrt-cube` `add-exp-log`
5×	`add-sqr-sqrt`
4×	`*-un-lft-identity` `add-cube-cbrt`
3×	`expm1-log1p-u` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`fma-udef`
1×	`associate-r` `*-commutative` `unswap-sqr`

Counts

3 → 44

Calls

3 calls:

Slowest

13.0ms	(* -1/3 (* x x))
0.0ms	(fma x (* -1/3 (* x x)) (fma (pow x 5) 2/15 x))
0.0ms	(fma (pow x 5) 2/15 x)

series300.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

184.0ms	(fma (pow x 5) 2/15 x)
70.0ms	(fma x (* -1/3 (* x x)) (fma (pow x 5) 2/15 x))
46.0ms	(* -1/3 (* x x))

simplify2.9s

Counts: 53 → 53

prune402.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes19.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

end0.0ms

sample11.7s

Algorithm

intervals

Results

6.5s	7665×	body	10240	exit
3.0s	3322×	body	1280	valid
1.3s	2443×	body	640	valid
435.0ms	1198×	body	320	valid
175.0ms	648×	body	160	valid
65.0ms	389×	body	80	valid