Details

sample112.0ms

Algorithm

intervals

Results

62.0ms	72×	body	10240	exit
26.0ms	272×	body	80	valid
5.0ms	5×	body	1280	valid
4.0ms	6×	body	640	valid
3.0ms	9×	body	320	valid
1.0ms	4×	body	160	valid

simplify34.0ms

Calls

1 calls:

Slowest

34.0ms

(- (log (+ 1 (exp x))) (* x y))

prune35.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize19.0ms

Local error

Found 2 expressions with local error:

0.2b	(log1p (exp x))
0.0b	(- (log1p (exp x)) (* y x))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

36×	`prod-diff`
35×	`add-sqr-sqrt`
28×	`*-un-lft-identity`
24×	`add-cube-cbrt`
10×	`associate-l`
9×	`associate-r`
5×	`add-log-exp`
4×	`unswap-sqr`
3×	`expm1-log1p-u` `fma-neg` `*-commutative`
2×	`pow1` `log1p-udef` `add-cbrt-cube` `diff-log` `add-exp-log` `insert-posit16` `log1p-expm1-u` `distribute-lft-out--` `difference-of-squares`
1×	`sub-neg` `flip3--` `log1p-expm1` `flip--`

Calls

2 calls:

Slowest

9.0ms	(- (log1p (exp x)) (* y x))
0.0ms	(log1p (exp x))

series115.0ms

Calls

2 calls:

Slowest

58.0ms	(- (log1p (exp x)) (* y x))
57.0ms	(log1p (exp x))

simplify6.6s

Calls

89 calls:

Slowest

186.0ms	(fma 1 (log1p (exp x)) (- (* (cbrt (* y x)) (* (cbrt (* y x)) (cbrt (* y x))))))
184.0ms	(fma (sqrt (log1p (exp x))) (sqrt (log1p (exp x))) (- (* (cbrt (* y x)) (* (cbrt (* y x)) (cbrt (* y x))))))
179.0ms	(fma (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (cbrt (log1p (exp x))) (- (* (cbrt (* y x)) (* (cbrt (* y x)) (cbrt (* y x))))))
178.0ms	(fma (- (* (sqrt y) (sqrt x))) (* (sqrt y) (sqrt x)) (* (* (sqrt y) (sqrt x)) (* (sqrt y) (sqrt x))))
177.0ms	(fma (- (cbrt x)) (* y (* (cbrt x) (cbrt x))) (* (cbrt x) (* y (* (cbrt x) (cbrt x)))))

prune742.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (fma (fma 1/8 x 1/2) x (log 2)) (* y x))
0.0b	(fma (fma 1/8 x 1/2) x (log 2))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

36×	`prod-diff`
35×	`add-sqr-sqrt`
28×	`*-un-lft-identity`
24×	`add-cube-cbrt`
10×	`associate-l`
9×	`associate-r`
4×	`add-log-exp` `unswap-sqr`
3×	`fma-neg` `*-commutative`
2×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `fma-udef` `insert-posit16` `log1p-expm1-u` `distribute-lft-out--` `difference-of-squares`
1×	`sub-neg` `flip3--` `diff-log` `associate--l+` `flip--`

Calls

2 calls:

Slowest

10.0ms	(- (fma (fma 1/8 x 1/2) x (log 2)) (* y x))
0.0ms	(fma (fma 1/8 x 1/2) x (log 2))

series124.0ms

Calls

2 calls:

Slowest

66.0ms	(- (fma (fma 1/8 x 1/2) x (log 2)) (* y x))
58.0ms	(fma (fma 1/8 x 1/2) x (log 2))

simplify13.4s

Calls

88 calls:

Slowest

444.0ms	(fma 1 (fma (fma 1/8 x 1/2) x (log 2)) (- (* (* y x) 1)))
425.0ms	(fma 1 (fma (fma 1/8 x 1/2) x (log 2)) (- (* (* y x) 1)))
391.0ms	(fma 1 (fma (fma 1/8 x 1/2) x (log 2)) (- (* x (* y 1))))
376.0ms	(fma 1 (fma (fma 1/8 x 1/2) x (log 2)) (- (* (* (sqrt y) x) (sqrt y))))
358.0ms	(fma (sqrt (fma (fma 1/8 x 1/2) x (log 2))) (sqrt (fma (fma 1/8 x 1/2) x (log 2))) (- (* (cbrt x) (* y (* (cbrt x) (cbrt x))))))

prune707.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes66.0ms

Accuracy

0% (0.3b remaining)

Error of 0.5b against oracle of 0.2b and baseline of 0.5b

bsearch1.0ms

end0.0ms

sample4.4s

Algorithm

intervals

Results

2.2s	2471×	body	10240	exit
1.5s	8394×	body	80	valid
165.0ms	244×	body	640	valid
133.0ms	138×	body	1280	valid
90.0ms	176×	body	320	valid
61.0ms	126×	body	160	valid