Details

sample178.0ms

Algorithm

intervals

Results

73.0ms	229×	body	10240	exit
49.0ms	113×	body	1280	valid
23.0ms	34×	body	320	valid
21.0ms	79×	body	640	valid
2.0ms	18×	body	160	valid
1.0ms	12×	body	80	valid

simplify102.0ms

Counts: 1 → 1

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 57.8b

localize29.0ms

Local error

Found 3 expressions with local error:

5.0b	(- (exp x) (exp (- x)))
0.7b	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
0.0b	(+ (exp x) (exp (- x)))

rewrite110.0ms

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

69.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
25.0ms	(- (exp x) (exp (- x)))
14.0ms	(+ (exp x) (exp (- x)))

series272.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

138.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
91.0ms	(- (exp x) (exp (- x)))
43.0ms	(+ (exp x) (exp (- x)))

simplify1.2s

Counts: 106 → 106

prune1.1s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize5.0ms

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

2.0ms

(tanh x)

series92.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

92.0ms

(tanh x)

simplify783.0ms

Counts: 16 → 16

prune111.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.1b	(* x (* x x))
0.0b	(fma (* x (* x x)) -1/3 (fma (pow x 5) 2/15 x))
0.0b	(fma (pow x 5) 2/15 x)

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

17×	`pow1`
8×	`add-cbrt-cube` `add-exp-log`
5×	`add-sqr-sqrt` `pow-prod-up`
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×	`pow2` `pow-plus` `cube-unmult` `associate-r` `pow-sqr` `*-commutative` `unswap-sqr`

Counts

3 → 49

Calls

3 calls:

Slowest

19.0ms	(* x (* x x))
0.0ms	(fma (pow x 5) 2/15 x)
0.0ms	(fma (* x (* x x)) -1/3 (fma (pow x 5) 2/15 x))

series326.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

182.0ms	(fma (pow x 5) 2/15 x)
87.0ms	(fma (* x (* x x)) -1/3 (fma (pow x 5) 2/15 x))
58.0ms	(* x (* x x))

simplify1.8s

Counts: 58 → 58

prune419.0ms

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

sample10.8s

Algorithm

intervals

Results

6.5s	7715×	body	10240	exit
2.5s	3337×	body	1280	valid
1.0s	2422×	body	640	valid
369.0ms	1214×	body	320	valid
107.0ms	594×	body	160	valid
77.0ms	433×	body	80	valid