Details

analyze4.0ms (0%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
100%	0%	0%	1

Compiler

Compiled 65 to 53 computations (18.5% saved)

sample73.0ms (0%)

Algorithm

1×

intervals

Results

60.0ms

256×

body

128

valid

Compiler

Compiled 129 to 106 computations (17.8% saved)

simplify252.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (98.0ms)

Iter	Nodes	Cost
0	5204	79

prune15.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Error

13.5b

Counts

2 → 2

Compiler

Compiled 166 to 134 computations (19.3% saved)

localize49.0ms (0%)

Local error

Found 4 expressions with local error:

0.1b	(/.f64 1 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))
0.2b	(.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 6401478394306903/4503599627370496 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 -6544414927309881/4503599627370496 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) 4780145094533421/4503599627370496)))))
0.4b	(+.f64 2295300911148351/9007199254740992 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 -5125037576950889/18014398509481984 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 6401478394306903/4503599627370496 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 -6544414927309881/4503599627370496 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) 4780145094533421/4503599627370496))))))))
13.4b	(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 2295300911148351/9007199254740992 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 -5125037576950889/18014398509481984 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 6401478394306903/4503599627370496 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 -6544414927309881/4503599627370496 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) 4780145094533421/4503599627370496))))))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))))

rewrite71.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

27×	`add-sqr-sqrt_binary64_1805`
21×	`*-un-lft-identity_binary64_1783`
20×	`add-cube-cbrt_binary64_1818` `times-frac_binary64_1789`
17×	`add-exp-log_binary64_1821`
15×	`associate-l_binary64_1724`
11×	`add-cbrt-cube_binary64_1819`
8×	`add-log-exp_binary64_1822`
7×	`pow1_binary64_1844`
5×	`flip-+_binary64_1757` `flip3-+_binary64_1786`
4×	`associate-/r/_binary64_1729` `prod-exp_binary64_1832` `div-exp_binary64_1834`
3×	`associate-/l_binary64_1728` `associate-/r_binary64_1727` `unswap-sqr_binary64_1751` `associate-r_binary64_1723`
2×	`associate-+r+_binary64_1715` `associate-*r/_binary64_1725` `distribute-lft-in_binary64_1732` `cbrt-unprod_binary64_1816` `1-exp_binary64_1827` `div-inv_binary64_1780` `cbrt-undiv_binary64_1817` `distribute-rgt-in_binary64_1733` `frac-times_binary64_1793` `rec-exp_binary64_1833`
1×	`flip3--_binary64_1787` `+-commutative_binary64_1713` `inv-pow_binary64_1868` `pow-flip_binary64_1857` `cancel-sign-sub-inv_binary64_1749` `associate-l/_binary64_1726` `diff-log_binary64_1875` `-commutative_binary64_1714` `frac-2neg_binary64_1794` `sum-log_binary64_1874` `clear-num_binary64_1782` `pow-prod-down_binary64_1854` `flip--_binary64_1758` `sub-neg_binary64_1776`

Counts

4 → 101

Calls

4 calls:

20.0ms	(.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 6401478394306903/4503599627370496 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 -6544414927309881/4503599627370496 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) 4780145094533421/4503599627370496)))))
10.0ms	(/.f64 1 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))
8.0ms	(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 2295300911148351/9007199254740992 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 -5125037576950889/18014398509481984 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 6401478394306903/4503599627370496 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 -6544414927309881/4503599627370496 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) 4780145094533421/4503599627370496))))))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))))
7.0ms	(+.f64 2295300911148351/9007199254740992 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 -5125037576950889/18014398509481984 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 6401478394306903/4503599627370496 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 -6544414927309881/4503599627370496 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) 4780145094533421/4503599627370496))))))))

series2.9s (1.9%)

Counts

4 → 12

Calls

4 calls:

1.7s	(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 2295300911148351/9007199254740992 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 -5125037576950889/18014398509481984 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 6401478394306903/4503599627370496 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 -6544414927309881/4503599627370496 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) 4780145094533421/4503599627370496))))))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))))
743.0ms	(+.f64 2295300911148351/9007199254740992 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 -5125037576950889/18014398509481984 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 6401478394306903/4503599627370496 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 -6544414927309881/4503599627370496 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) 4780145094533421/4503599627370496))))))))
408.0ms	(.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 6401478394306903/4503599627370496 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 -6544414927309881/4503599627370496 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) 4780145094533421/4503599627370496)))))
55.0ms	(/.f64 1 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))

simplify145.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (85.0ms)

Iter	Nodes	Cost
0	4942	5653
1	4942	5653

prune652.0ms (0.4%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	110	3	113
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	112	3	115

Error

13.4b

Counts

115 → 3

Compiler

Compiled 8689 to 6402 computations (26.3% saved)

localize37.0ms (0%)

Local error

Found 4 expressions with local error:

0.4b	(/.f64 1 (-.f64 (.f64 1 1) (.f64 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)) (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))))
0.4b	(+.f64 2295300911148351/9007199254740992 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 -5125037576950889/18014398509481984 (.f64 (/.f64 1 (-.f64 (.f64 1 1) (.f64 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)) (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (-.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))))))
13.4b	(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 2295300911148351/9007199254740992 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 -5125037576950889/18014398509481984 (.f64 (/.f64 1 (-.f64 (.f64 1 1) (.f64 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)) (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (-.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))))))) (exp.f64 (neg.f64 (*.f64 (fabs.f64 x) (fabs.f64 x))))))
13.6b	(.f64 (/.f64 1 (-.f64 (.f64 1 1) (.f64 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)) (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (-.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x)))))

rewrite114.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

30×	`add-exp-log_binary64_1821`
24×	`times-frac_binary64_1789`
21×	`add-sqr-sqrt_binary64_1805` `add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783`
18×	`add-cbrt-cube_binary64_1819` `associate-l_binary64_1724`
16×	`frac-times_binary64_1793`
12×	`associate-*r/_binary64_1725` `prod-exp_binary64_1832`
10×	`pow1_binary64_1844`
9×	`flip3--_binary64_1787` `distribute-lft-in_binary64_1732` `distribute-rgt-in_binary64_1733` `flip--_binary64_1758`
8×	`add-log-exp_binary64_1822`
7×	`difference-of-squares_binary64_1752` `flip-+_binary64_1757` `flip3-+_binary64_1786`
6×	`cbrt-unprod_binary64_1816` `div-exp_binary64_1834`
5×	`cancel-sign-sub-inv_binary64_1749` `associate-*l/_binary64_1726` `sub-neg_binary64_1776`
4×	`associate-/r/_binary64_1729` `associate-/r*_binary64_1727`
3×	`associate-/l*_binary64_1728` `1-exp_binary64_1827` `cbrt-undiv_binary64_1817` `pow-prod-down_binary64_1854` `rec-exp_binary64_1833`
2×	`associate-+r+_binary64_1715` `div-inv_binary64_1780`
1×	`+-commutative_binary64_1713` `inv-pow_binary64_1868` `pow-flip_binary64_1857` `diff-log_binary64_1875` `-commutative_binary64_1714` `frac-2neg_binary64_1794` `sum-log_binary64_1874` `clear-num_binary64_1782` `associate-r*_binary64_1723`

Counts

4 → 128

Calls

4 calls:

45.0ms	(.f64 (/.f64 1 (-.f64 (.f64 1 1) (.f64 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)) (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (-.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x)))))
22.0ms	(/.f64 1 (-.f64 (.f64 1 1) (.f64 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)) (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))))
6.0ms	(+.f64 2295300911148351/9007199254740992 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 -5125037576950889/18014398509481984 (.f64 (/.f64 1 (-.f64 (.f64 1 1) (.f64 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)) (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (-.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))))))
4.0ms	(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 2295300911148351/9007199254740992 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 -5125037576950889/18014398509481984 (.f64 (/.f64 1 (-.f64 (.f64 1 1) (.f64 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)) (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (-.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))))))) (exp.f64 (neg.f64 (*.f64 (fabs.f64 x) (fabs.f64 x))))))

series7.9s (5.2%)

Counts

4 → 12

Calls

4 calls:

4.5s	(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 2295300911148351/9007199254740992 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 -5125037576950889/18014398509481984 (.f64 (/.f64 1 (-.f64 (.f64 1 1) (.f64 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)) (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (-.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))))))) (exp.f64 (neg.f64 (*.f64 (fabs.f64 x) (fabs.f64 x))))))
2.5s	(+.f64 2295300911148351/9007199254740992 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 -5125037576950889/18014398509481984 (.f64 (/.f64 1 (-.f64 (.f64 1 1) (.f64 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)) (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (-.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))))))
679.0ms	(.f64 (/.f64 1 (-.f64 (.f64 1 1) (.f64 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)) (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (-.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x)))))
178.0ms	(/.f64 1 (-.f64 (.f64 1 1) (.f64 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)) (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))))

simplify211.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4955	9263
1	4955	9263

prune1.4s (0.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	139	1	140
Fresh	1	1	2
Picked	0	1	1
Done	0	0	0
Total	140	3	143

Error

13.4b

Counts

143 → 3

Compiler

Compiled 12613 to 9184 computations (27.2% saved)

localize63.0ms (0%)

Local error

Found 4 expressions with local error:

12.9b	(-.f64 1 (pow.f64 (/.f64 (/.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 (/.f64 (.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (-.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (-.f64 1 (.f64 x (.f64 x 2176625624901896097756115991881/20282409603651670423947251286016)))) -5125037576950889/18014398509481984) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (exp.f64 (*.f64 x x))) 3))
14.1b	(/.f64 (.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (-.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (-.f64 1 (.f64 x (.f64 x 2176625624901896097756115991881/20282409603651670423947251286016))))
14.1b	(/.f64 (.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (-.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (-.f64 1 (.f64 x (.f64 x 2176625624901896097756115991881/20282409603651670423947251286016))))
14.1b	(/.f64 (.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (-.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (-.f64 1 (.f64 x (.f64 x 2176625624901896097756115991881/20282409603651670423947251286016))))

rewrite451.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

201×	`times-frac_binary64_1789`
143×	`*-un-lft-identity_binary64_1783`
131×	`add-sqr-sqrt_binary64_1805`
122×	`cancel-sign-sub-inv_binary64_1749`
97×	`add-cube-cbrt_binary64_1818`
64×	`unpow-prod-down_binary64_1862` `cube-prod_binary64_1811`
24×	`associate-/l/_binary64_1730`
19×	`add-cbrt-cube_binary64_1819` `add-exp-log_binary64_1821`
18×	`associate-/r/_binary64_1729` `distribute-lft-out_binary64_1734`
16×	`difference-of-squares_binary64_1752`
15×	`flip-+_binary64_1757` `flip3-+_binary64_1786`
13×	`flip3--_binary64_1787` `flip--_binary64_1758`
12×	`frac-times_binary64_1793`
11×	`div-inv_binary64_1780`
9×	`associate-/r*_binary64_1727`
6×	`associate-r/_binary64_1725` `associate-l/_binary64_1726` `cbrt-undiv_binary64_1817` `div-exp_binary64_1834` `add-log-exp_binary64_1822`
4×	`pow1_binary64_1844`
3×	`sqr-pow_binary64_1755` `associate-/l*_binary64_1728` `cbrt-unprod_binary64_1816` `prod-exp_binary64_1832` `frac-2neg_binary64_1794` `clear-num_binary64_1782`
1×	`cube-mult_binary64_1813` `unpow3_binary64_1849` `distribute-lft-out--_binary64_1735` `diff-log_binary64_1875` `sub-neg_binary64_1776`

Counts

4 → 243

Calls

4 calls:

155.0ms	(-.f64 1 (pow.f64 (/.f64 (/.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 (/.f64 (.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (-.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (-.f64 1 (.f64 x (.f64 x 2176625624901896097756115991881/20282409603651670423947251286016)))) -5125037576950889/18014398509481984) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (exp.f64 (*.f64 x x))) 3))
25.0ms	(/.f64 (.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (-.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (-.f64 1 (.f64 x (.f64 x 2176625624901896097756115991881/20282409603651670423947251286016))))
25.0ms	(/.f64 (.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (-.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (-.f64 1 (.f64 x (.f64 x 2176625624901896097756115991881/20282409603651670423947251286016))))
24.0ms	(/.f64 (.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (-.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (-.f64 1 (.f64 x (.f64 x 2176625624901896097756115991881/20282409603651670423947251286016))))

series2.3min (90.4%)

Calls

3 calls:

560.0ms

(/.f64 (*.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (-.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (-.f64 1 (*.f64 x (*.f64 x 2176625624901896097756115991881/20282409603651670423947251286016))))

515.0ms

(/.f64 (*.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (-.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (-.f64 1 (*.f64 x (*.f64 x 2176625624901896097756115991881/20282409603651670423947251286016))))

447.0ms

(/.f64 (*.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (-.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (-.f64 1 (*.f64 x (*.f64 x 2176625624901896097756115991881/20282409603651670423947251286016))))

Details

analyze4.0ms (0%)

sample73.0ms (0%)

simplify252.0ms (0.2%)

prune15.0ms (0%)

localize49.0ms (0%)

rewrite71.0ms (0%)

series2.9s (1.9%)

simplify145.0ms (0.1%)

prune652.0ms (0.4%)

localize37.0ms (0%)

rewrite114.0ms (0.1%)

series7.9s (5.2%)

simplify211.0ms (0.1%)

prune1.4s (0.9%)

localize63.0ms (0%)

rewrite451.0ms (0.3%)

series2.3min (90.4%)

Profiling