Details

analyze3.0ms (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)

sample39.0ms (0%)

Algorithm

1×

intervals

Results

29.0ms

256×

body

128

valid

Compiler

Compiled 129 to 106 computations (17.8% saved)

simplify161.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	5204	79

prune8.0ms (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

13.2b

Counts

2 → 2

Compiler

Compiled 166 to 134 computations (19.3% saved)

localize22.0ms (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 -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))))))))
13.2b	(-.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))))))

rewrite638.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Error

13.2b

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×	`flip3-+_binary64_1786` `flip-+_binary64_1757`
4×	`div-exp_binary64_1834` `prod-exp_binary64_1832` `associate-/r/_binary64_1729`
3×	`unswap-sqr_binary64_1751` `associate-r_binary64_1723` `associate-/l_binary64_1728` `associate-/r_binary64_1727`
2×	`distribute-rgt-in_binary64_1733` `associate-+r+_binary64_1715` `distribute-lft-in_binary64_1732` `1-exp_binary64_1827` `rec-exp_binary64_1833` `cbrt-unprod_binary64_1816` `cbrt-undiv_binary64_1817` `frac-times_binary64_1793` `associate-*r/_binary64_1725` `div-inv_binary64_1780`
1×	`diff-log_binary64_1875` `flip3--_binary64_1787` `sub-neg_binary64_1776` `flip--_binary64_1758` `cancel-sign-sub-inv_binary64_1749` `sum-log_binary64_1874` `+-commutative_binary64_1713` `pow-prod-down_binary64_1854` `associate-l/_binary64_1726` `-commutative_binary64_1714` `inv-pow_binary64_1868` `pow-flip_binary64_1857` `frac-2neg_binary64_1794` `clear-num_binary64_1782`

Counts

4 → 101

Calls

4 calls:

12.0ms	(.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)))
5.0ms	(/.f64 1 (+.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 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))))))
4.0ms	(+.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))))))))

Compiler

Compiled 8638 to 6512 computations (24.6% saved)

series1.7s (1.2%)

Error

13.2b

Counts

4 → 12

Calls

4 calls:

996.0ms	(-.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))))))
502.0ms	(+.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))))))))
131.0ms	(.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)))
61.0ms	(/.f64 1 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))

Compiler

Compiled 2607 to 2063 computations (20.9% saved)

simplify105.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4914	4837
1	4914	4837

prune509.0ms (0.3%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	109	4	113
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	111	4	115

Error

13.2b

Counts

115 → 4

Compiler

Compiled 8618 to 6376 computations (26% saved)

localize23.0ms (0%)

Local error

Found 4 expressions with local error:

0.2b	(/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (-.f64 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496))) 6544414927309881/4503599627370496) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (+.f64 1 (*.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))
0.4b	(+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (-.f64 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496))) 6544414927309881/4503599627370496) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496))))
13.2b	(-.f64 1 (/.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (-.f64 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496))) 6544414927309881/4503599627370496) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (.f64 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)) (exp.f64 (*.f64 x x)))))
13.2b	(log.f64 (exp.f64 (-.f64 1 (/.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (-.f64 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496))) 6544414927309881/4503599627370496) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (.f64 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)) (exp.f64 (*.f64 x x)))))))

rewrite691.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

13.2b

Rules

39×	`*-un-lft-identity_binary64_1783`
25×	`add-sqr-sqrt_binary64_1805`
20×	`cancel-sign-sub-inv_binary64_1749` `times-frac_binary64_1789`
19×	`add-cube-cbrt_binary64_1818`
15×	`log-prod_binary64_1869`
13×	`div-sub_binary64_1788`
12×	`exp-sum_binary64_1829`
10×	`associate-+r-_binary64_1717`
8×	`add-log-exp_binary64_1822`
7×	`log-pow_binary64_1872` `distribute-lft-out_binary64_1734`
6×	`exp-prod_binary64_1835` `associate-/r/_binary64_1729` `add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819`
5×	`pow1_binary64_1844` `flip3-+_binary64_1786` `flip-+_binary64_1757`
4×	`difference-of-squares_binary64_1752` `associate-l/_binary64_1726` `associate-/l_binary64_1728`
3×	`div-inv_binary64_1780` `associate-/r*_binary64_1727`
2×	`distribute-lft-out--_binary64_1735` `sub-neg_binary64_1776` `associate--r-_binary64_1722` `associate-/l/_binary64_1730`
1×	`exp-diff_binary64_1831` `log-div_binary64_1870` `rem-log-exp_binary64_1824` `diff-log_binary64_1875` `flip3--_binary64_1787` `flip--_binary64_1758` `sum-log_binary64_1874` `+-commutative_binary64_1713` `div-exp_binary64_1834` `cbrt-undiv_binary64_1817` `frac-2neg_binary64_1794` `clear-num_binary64_1782`

Counts

4 → 105

Calls

4 calls:

46.0ms	(log.f64 (exp.f64 (-.f64 1 (/.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (-.f64 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496))) 6544414927309881/4503599627370496) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (.f64 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)) (exp.f64 (*.f64 x x)))))))
42.0ms	(-.f64 1 (/.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (-.f64 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496))) 6544414927309881/4503599627370496) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (.f64 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)) (exp.f64 (*.f64 x x)))))
41.0ms	(+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (-.f64 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496))) 6544414927309881/4503599627370496) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496))))
23.0ms	(/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (-.f64 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496))) 6544414927309881/4503599627370496) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (+.f64 1 (*.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))

Compiler

Compiled 8912 to 6680 computations (25% saved)

series1.6min (63.2%)

Error

13.2b

Counts

4 → 18

Calls

4 calls:

1.3min	(log.f64 (exp.f64 (-.f64 1 (/.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (-.f64 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496))) 6544414927309881/4503599627370496) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (.f64 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)) (exp.f64 (*.f64 x x)))))))
16.6s	(-.f64 1 (/.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (-.f64 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496))) 6544414927309881/4503599627370496) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (.f64 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)) (exp.f64 (*.f64 x x)))))
468.0ms	(+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (-.f64 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496))) 6544414927309881/4503599627370496) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496))))
256.0ms	(/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (-.f64 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496))) 6544414927309881/4503599627370496) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (+.f64 1 (*.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))

Compiler

Compiled 31703 to 24361 computations (23.2% saved)

simplify307.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4856	24901
1	4856	24901

prune1.5s (1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	120	3	123
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	120	7	127

Error

13.1b

Counts

127 → 7

Compiler

Compiled 20470 to 15359 computations (25% saved)

localize27.0ms (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 -6544414927309881/4503599627370496 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) 4780145094533421/4503599627370496)))
0.2b	(/.f64 -5125037576950889/18014398509481984 (+.f64 1 (*.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))
13.2b	(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 -5125037576950889/18014398509481984 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (.f64 (.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))))) (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))))) (exp.f64 (neg.f64 (*.f64 (fabs.f64 x) (fabs.f64 x))))))

rewrite664.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Error

13.1b

Rules

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

Counts

4 → 117

Calls

4 calls:

11.0ms	(.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 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 -5125037576950889/18014398509481984 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (.f64 (.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))))) (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))))) (exp.f64 (neg.f64 (*.f64 (fabs.f64 x) (fabs.f64 x))))))
5.0ms	(/.f64 1 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))
5.0ms	(/.f64 -5125037576950889/18014398509481984 (+.f64 1 (*.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))

Compiler

Compiled 10342 to 7726 computations (25.3% saved)

series1.2s (0.8%)

Error

13.1b

Counts

4 → 12

Calls

4 calls:

914.0ms	(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 -5125037576950889/18014398509481984 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (.f64 (.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))))) (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))))) (exp.f64 (neg.f64 (*.f64 (fabs.f64 x) (fabs.f64 x))))))
120.0ms	(.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)))
61.0ms	(/.f64 -5125037576950889/18014398509481984 (+.f64 1 (*.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))
53.0ms	(/.f64 1 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))

Compiler

Compiled 2721 to 2129 computations (21.8% saved)

simplify97.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5020	4451

prune674.0ms (0.4%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	128	1	129
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	128	8	136

Error

13.1b

Counts

136 → 8

Compiler

Compiled 12201 to 9080 computations (25.6% saved)

localize32.0ms (0%)

Local error

Found 4 expressions with local error:

0.4b	(+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (-.f64 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496))) 6544414927309881/4503599627370496) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496))))
0.5b	(.f64 (/.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (-.f64 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496))) 6544414927309881/4503599627370496) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (.f64 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)) (exp.f64 (.f64 x x)))) (+.f64 1 (/.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (-.f64 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496))) 6544414927309881/4503599627370496) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (.f64 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)) (exp.f64 (*.f64 x x))))))
0.7b	(pow.f64 (/.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (-.f64 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496))) 6544414927309881/4503599627370496) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (.f64 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)) (exp.f64 (*.f64 x x)))) 3)
12.7b	(-.f64 1 (pow.f64 (/.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (-.f64 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496))) 6544414927309881/4503599627370496) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (.f64 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)) (exp.f64 (*.f64 x x)))) 3))

rewrite2.6s (1.7%)

Algorithm

1×	rewrite-expression-head

Error

12.4b

Rules

37×	`*-un-lft-identity_binary64_1783`
29×	`add-sqr-sqrt_binary64_1805`
26×	`cancel-sign-sub-inv_binary64_1749`
22×	`unpow-prod-down_binary64_1862` `cube-prod_binary64_1811`
20×	`times-frac_binary64_1789`
19×	`add-cbrt-cube_binary64_1819`
17×	`add-exp-log_binary64_1821` `add-cube-cbrt_binary64_1818`
11×	`associate-*l/_binary64_1726`
10×	`associate-/r/_binary64_1729` `associate-l_binary64_1724`
8×	`add-log-exp_binary64_1822` `difference-of-squares_binary64_1752` `flip3-+_binary64_1786` `flip-+_binary64_1757`
7×	`pow1_binary64_1844` `distribute-lft-out_binary64_1734`
5×	`div-inv_binary64_1780` `prod-exp_binary64_1832` `cbrt-unprod_binary64_1816`
4×	`sqr-pow_binary64_1755` `div-exp_binary64_1834` `cbrt-undiv_binary64_1817` `associate-r_binary64_1723`
3×	`pow-unpow_binary64_1860` `pow-exp_binary64_1851` `rem-cube-cbrt_binary64_1806` `div-sub_binary64_1788` `associate-+r-_binary64_1717`
2×	`unpow3_binary64_1849` `cube-mult_binary64_1813` `frac-times_binary64_1793` `associate-*r/_binary64_1725`
1×	`diff-log_binary64_1875` `flip3--_binary64_1787` `sub-neg_binary64_1776` `flip--_binary64_1758` `distribute-lft-out--_binary64_1735` `pow-pow_binary64_1855` `pow-to-exp_binary64_1852` `cube-div_binary64_1812` `pow-prod-down_binary64_1854` `unswap-sqr_binary64_1751` `distribute-rgt-in_binary64_1733` `distribute-lft-in_binary64_1732` `*-commutative_binary64_1714` `sum-log_binary64_1874` `+-commutative_binary64_1713`

Counts

4 → 138

Calls

4 calls:

76.0ms	(.f64 (/.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (-.f64 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496))) 6544414927309881/4503599627370496) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (.f64 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)) (exp.f64 (.f64 x x)))) (+.f64 1 (/.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (-.f64 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496))) 6544414927309881/4503599627370496) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (.f64 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)) (exp.f64 (*.f64 x x))))))
42.0ms	(-.f64 1 (pow.f64 (/.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (-.f64 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496))) 6544414927309881/4503599627370496) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (.f64 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)) (exp.f64 (*.f64 x x)))) 3))
41.0ms	(pow.f64 (/.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (-.f64 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496))) 6544414927309881/4503599627370496) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (.f64 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)) (exp.f64 (*.f64 x x)))) 3)
36.0ms	(+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (-.f64 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496))) 6544414927309881/4503599627370496) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496))))

Compiler

Compiled 28136 to 20744 computations (26.3% saved)

series44.3s (29.5%)

Compiler: Compiled 4363 to 3347 computations (23.3% saved)

Details

analyze3.0ms (0%)

sample39.0ms (0%)

simplify161.0ms (0.1%)

prune8.0ms (0%)

localize22.0ms (0%)

rewrite638.0ms (0.4%)

series1.7s (1.2%)

simplify105.0ms (0.1%)

prune509.0ms (0.3%)

localize23.0ms (0%)

rewrite691.0ms (0.5%)

series1.6min (63.2%)

simplify307.0ms (0.2%)

prune1.5s (1%)

localize27.0ms (0%)

rewrite664.0ms (0.4%)

series1.2s (0.8%)

simplify97.0ms (0.1%)

prune674.0ms (0.4%)

localize32.0ms (0%)

rewrite2.6s (1.7%)

series44.3s (29.5%)

Profiling