Details

sample297.0ms

Algorithm

intervals

Results

156.0ms	232×	body	10240	exit
73.0ms	109×	body	1280	valid
36.0ms	83×	body	640	valid
12.0ms	32×	body	320	valid
4.0ms	19×	body	160	valid
1.0ms	13×	body	80	valid

simplify85.0ms

Counts: 1 → 1

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.1b

localize23.0ms

Local error

Found 2 expressions with local error:

5.3b	(- (exp x) (exp (- x)))
0.7b	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))

rewrite62.0ms

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

44.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
17.0ms	(- (exp x) (exp (- x)))

series158.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

104.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
53.0ms	(- (exp x) (exp (- x)))

simplify436.0ms

Counts: 118 → 85

prune723.0ms

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)

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)

series99.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

99.0ms

(tanh x)

simplify991.0ms

Counts: 19 → 16

prune133.0ms

Pruning

3 alts after pruning (2 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)

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

22×	`pow1`
8×	`add-cbrt-cube` `add-exp-log`
6×	`pow-plus` `pow-prod-up`
5×	`add-sqr-sqrt`
4×	`*-un-lft-identity` `add-cube-cbrt`
3×	`expm1-log1p-u` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`pow2` `pow-sqr` `fma-udef`
1×	`associate-l` `pow3` `*-commutative` `unswap-sqr`

Counts

3 → 53

Calls

3 calls:

Slowest

18.0ms	(* (* x x) x)
0.0ms	(fma (* (* x x) x) -1/3 (fma (pow x 5) 2/15 x))
0.0ms	(fma (pow x 5) 2/15 x)

series357.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

208.0ms	(fma (pow x 5) 2/15 x)
99.0ms	(fma (* (* x x) x) -1/3 (fma (pow x 5) 2/15 x))
50.0ms	(* (* x x) x)

simplify493.0ms

Counts: 61 → 62

prune498.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

5.3b	(+ (exp x) (/ -1 (exp x)))
0.7b	(/ (+ (exp x) (/ -1 (exp x))) (+ (exp x) (/ 1 (exp x))))
0.0b	(/ 1 (exp x))
0.0b	(/ -1 (exp x))

rewrite112.0ms

Algorithm

rewrite-expression-head

Rules

62×	`*-un-lft-identity`
38×	`times-frac`
33×	`add-sqr-sqrt` `add-cube-cbrt`
17×	`distribute-lft-out`
11×	`associate-/r*`
10×	`add-cbrt-cube` `associate-/l*`
8×	`add-exp-log` `div-inv`
6×	`add-log-exp`
5×	`pow1`
4×	`expm1-log1p-u` `div-exp` `insert-posit16` `log1p-expm1-u` `pow-flip`
3×	`cbrt-undiv` `exp-prod` `clear-num` `fma-def` `frac-2neg` `flip3-+` `flip-+`
2×	`associate-/r/` `associate-/l/`
1×	`+-commutative` `rec-exp` `sum-log` `1-exp` `inv-pow`

Counts

4 → 133

Calls

4 calls:

Slowest

75.0ms	(/ (+ (exp x) (/ -1 (exp x))) (+ (exp x) (/ 1 (exp x))))
22.0ms	(+ (exp x) (/ -1 (exp x)))
6.0ms	(/ 1 (exp x))
6.0ms	(/ -1 (exp x))

series198.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

114.0ms	(/ (+ (exp x) (/ -1 (exp x))) (+ (exp x) (/ 1 (exp x))))
57.0ms	(+ (exp x) (/ -1 (exp x)))
18.0ms	(/ 1 (exp x))
10.0ms	(/ -1 (exp x))

simplify587.0ms

Counts: 183 → 145

prune1.1s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes37.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

end0.0ms

sample10.0s

Algorithm

intervals

Results

5.2s	7588×	body	10240	exit
2.9s	3345×	body	1280	valid
1.1s	2472×	body	640	valid
306.0ms	1178×	body	320	valid
101.0ms	592×	body	160	valid
72.0ms	413×	body	80	valid