Details

analyze194.0ms (0.1%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5204	79
0	1	1
1	1	1

Search

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

Compiler

Compiled 65 to 53 computations (18.5% saved)

sample50.0ms (0%)

Algorithm

1×

intervals

Results

38.0ms

256×

body

128

valid

Compiler

Compiled 129 to 106 computations (17.8% saved)

simplify71.0ms (0%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	5204	79

prune7.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

14.0b

Counts

2 → 1

Compiler

Compiled 115 to 93 computations (19.1% saved)

localize26.0ms (0%)

Local error

Found 4 expressions with local error:

0.2b	(/.f64 1 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))
0.2b	(.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)))))))
0.5b	(+.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))))))))
14.0b	(-.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))))))

rewrite808.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

14.0b

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:

20.0ms	(.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)))))))
9.0ms	(/.f64 1 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))
7.0ms	(-.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))))))))

Compiler

Compiled 9188 to 6962 computations (24.2% saved)

series2.4s (1.6%)

Error

14.0b

Counts

4 → 12

Calls

4 calls:

1.2s	(-.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))))))
571.0ms	(+.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))))))))
509.0ms	(.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)))))))
90.0ms	(/.f64 1 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))

Compiler

Compiled 2664 to 2114 computations (20.6% saved)

simplify156.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (75.0ms)

Iter	Nodes	Cost
0	4921	6373
1	4921	6373

prune553.0ms (0.4%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	108	5	113
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	109	5	114

Error

14.0b

Counts

114 → 5

Compiler

Compiled 8880 to 6552 computations (26.2% saved)

localize30.0ms (0%)

Local error

Found 4 expressions with local error:

0.2b	(/.f64 1 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))
0.2b	(/.f64 1 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))
0.2b	(/.f64 1 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))
14.0b	(-.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))))))

rewrite723.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

14.0b

Rules

28×	`add-cube-cbrt_binary64_1818` `add-sqr-sqrt_binary64_1805` `*-un-lft-identity_binary64_1783`
27×	`times-frac_binary64_1789`
16×	`add-exp-log_binary64_1821`
10×	`add-cbrt-cube_binary64_1819`
9×	`associate-/l_binary64_1728` `associate-/r_binary64_1727`
7×	`pow1_binary64_1844`
6×	`add-log-exp_binary64_1822` `div-exp_binary64_1834` `associate-/r/_binary64_1729`
3×	`inv-pow_binary64_1868` `pow-flip_binary64_1857` `1-exp_binary64_1827` `rec-exp_binary64_1833` `cbrt-undiv_binary64_1817` `frac-2neg_binary64_1794` `clear-num_binary64_1782` `div-inv_binary64_1780` `flip3-+_binary64_1786` `flip-+_binary64_1757`
1×	`diff-log_binary64_1875` `flip3--_binary64_1787` `sub-neg_binary64_1776` `flip--_binary64_1758` `cancel-sign-sub-inv_binary64_1749`

Counts

4 → 111

Calls

4 calls:

16.0ms	(-.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))))))
10.0ms	(/.f64 1 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))
8.0ms	(/.f64 1 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))
6.0ms	(/.f64 1 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))

Compiler

Compiled 9506 to 7068 computations (25.6% saved)

series1.4s (0.9%)

Error

14.0b

Counts

4 → 12

Calls

4 calls:

1.1s	(-.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))))))
73.0ms	(/.f64 1 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))
72.0ms	(/.f64 1 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))
67.0ms	(/.f64 1 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))

Compiler

Compiled 2739 to 2147 computations (21.6% saved)

simplify128.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 0 (80.0ms)

Iter	Nodes	Cost
0	4947	3566
1	4947	3566

prune734.0ms (0.5%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	120	3	123
Fresh	1	3	4
Picked	1	0	1
Done	0	0	0
Total	122	6	128

Error

14.0b

Counts

128 → 6

Compiler

Compiled 10201 to 7574 computations (25.8% saved)

localize45.0ms (0%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 x 2176625624901896097756115991881/20282409603651670423947251286016)
0.7b	(/.f64 1 (-.f64 1 (.f64 x (.f64 x 2176625624901896097756115991881/20282409603651670423947251286016))))
13.4b	(.f64 (/.f64 1 (-.f64 1 (.f64 x (.f64 x 2176625624901896097756115991881/20282409603651670423947251286016)))) (-.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))
14.0b	(-.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 (/.f64 1 (-.f64 1 (.f64 x (.f64 x 2176625624901896097756115991881/20282409603651670423947251286016)))) (-.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))))))

rewrite989.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

14.0b

Rules

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

Counts

4 → 108

Calls

4 calls:

22.0ms	(.f64 (/.f64 1 (-.f64 1 (.f64 x (.f64 x 2176625624901896097756115991881/20282409603651670423947251286016)))) (-.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))
15.0ms	(/.f64 1 (-.f64 1 (.f64 x (.f64 x 2176625624901896097756115991881/20282409603651670423947251286016))))
11.0ms	(-.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 (/.f64 1 (-.f64 1 (.f64 x (.f64 x 2176625624901896097756115991881/20282409603651670423947251286016)))) (-.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))))))
8.0ms	(*.f64 x 2176625624901896097756115991881/20282409603651670423947251286016)

Compiler

Compiled 10368 to 7715 computations (25.6% saved)

series4.8s (3.2%)

Error

14.0b

Counts

4 → 21

Calls

4 calls:

4.5s	(-.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 (/.f64 1 (-.f64 1 (.f64 x (.f64 x 2176625624901896097756115991881/20282409603651670423947251286016)))) (-.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))))))
81.0ms	(.f64 (/.f64 1 (-.f64 1 (.f64 x (.f64 x 2176625624901896097756115991881/20282409603651670423947251286016)))) (-.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))
52.0ms	(/.f64 1 (-.f64 1 (.f64 x (.f64 x 2176625624901896097756115991881/20282409603651670423947251286016))))
38.0ms	(*.f64 x 2176625624901896097756115991881/20282409603651670423947251286016)

Compiler

Compiled 8019 to 6121 computations (23.7% saved)

simplify151.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5201	6628

prune1.2s (0.8%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	128	1	129
Fresh	1	4	5
Picked	1	0	1
Done	0	0	0
Total	130	5	135

Error

14.0b

Counts

135 → 5

Compiler

Compiled 13043 to 9306 computations (28.7% saved)

localize50.0ms (0%)

Local error

Found 4 expressions with local error:

13.4b	(-.f64 1 (pow.f64 (/.f64 (/.f64 (+.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 -5125037576950889/18014398509481984 (+.f64 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496) 1))) (/.f64 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (.f64 (/.f64 (-.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)) (-.f64 1 (.f64 (.f64 x x) 2176625624901896097756115991881/20282409603651670423947251286016))) 4780145094533421/4503599627370496)) (+.f64 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496) 1))) (+.f64 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496) 1)) (+.f64 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496) 1))) (+.f64 (*.f64 (fabs.f64 x) 1475339155889891/4503599627370496) 1)) (pow.f64 (exp.f64 x) x)) 3))
14.2b	(/.f64 (-.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)) (-.f64 1 (.f64 (*.f64 x x) 2176625624901896097756115991881/20282409603651670423947251286016)))
14.2b	(/.f64 (-.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)) (-.f64 1 (.f64 (*.f64 x x) 2176625624901896097756115991881/20282409603651670423947251286016)))
14.2b	(/.f64 (-.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)) (-.f64 1 (.f64 (*.f64 x x) 2176625624901896097756115991881/20282409603651670423947251286016)))

rewrite18.1s (12%)

Algorithm

1×	rewrite-expression-head

Error

13.9b

Rules

567×	`times-frac_binary64_1789`
469×	`*-un-lft-identity_binary64_1783`
315×	`add-sqr-sqrt_binary64_1805`
308×	`cancel-sign-sub-inv_binary64_1749`
299×	`unpow-prod-down_binary64_1862`
241×	`add-cube-cbrt_binary64_1818`
165×	`cube-prod_binary64_1811`
126×	`distribute-lft-out_binary64_1734`
53×	`sqr-pow_binary64_1755`
34×	`associate-/r/_binary64_1729`
32×	`difference-of-squares_binary64_1752`
19×	`div-inv_binary64_1780`
14×	`flip3-+_binary64_1786` `flip-+_binary64_1757`
10×	`add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819`
9×	`associate-/l_binary64_1728` `associate-/r_binary64_1727`
7×	`flip3--_binary64_1787` `flip--_binary64_1758`
6×	`add-log-exp_binary64_1822` `associate-/l/_binary64_1730`
4×	`pow1_binary64_1844`
3×	`div-exp_binary64_1834` `cbrt-undiv_binary64_1817` `frac-2neg_binary64_1794` `div-sub_binary64_1788` `clear-num_binary64_1782`
1×	`diff-log_binary64_1875` `sub-neg_binary64_1776` `unpow3_binary64_1849` `cube-mult_binary64_1813` `distribute-lft-out--_binary64_1735`

Counts

4 → 448

Calls

4 calls:

205.0ms	(-.f64 1 (pow.f64 (/.f64 (/.f64 (+.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 -5125037576950889/18014398509481984 (+.f64 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496) 1))) (/.f64 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (.f64 (/.f64 (-.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)) (-.f64 1 (.f64 (.f64 x x) 2176625624901896097756115991881/20282409603651670423947251286016))) 4780145094533421/4503599627370496)) (+.f64 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496) 1))) (+.f64 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496) 1)) (+.f64 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496) 1))) (+.f64 (*.f64 (fabs.f64 x) 1475339155889891/4503599627370496) 1)) (pow.f64 (exp.f64 x) x)) 3))
8.0ms	(/.f64 (-.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)) (-.f64 1 (.f64 (*.f64 x x) 2176625624901896097756115991881/20282409603651670423947251286016)))
8.0ms	(/.f64 (-.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)) (-.f64 1 (.f64 (*.f64 x x) 2176625624901896097756115991881/20282409603651670423947251286016)))
8.0ms	(/.f64 (-.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)) (-.f64 1 (.f64 (*.f64 x x) 2176625624901896097756115991881/20282409603651670423947251286016)))

Compiler

Compiled 111347 to 79994 computations (28.2% saved)

series2.0min (78.3%)

Calls

3 calls:

136.0ms

(/.f64 (-.f64 1 (*.f64 (fabs.f64 x) 1475339155889891/4503599627370496)) (-.f64 1 (*.f64 (*.f64 x x) 2176625624901896097756115991881/20282409603651670423947251286016)))

134.0ms

(/.f64 (-.f64 1 (*.f64 (fabs.f64 x) 1475339155889891/4503599627370496)) (-.f64 1 (*.f64 (*.f64 x x) 2176625624901896097756115991881/20282409603651670423947251286016)))

129.0ms

(/.f64 (-.f64 1 (*.f64 (fabs.f64 x) 1475339155889891/4503599627370496)) (-.f64 1 (*.f64 (*.f64 x x) 2176625624901896097756115991881/20282409603651670423947251286016)))

Compiler

Compiled 9279 to 7012 computations (24.4% saved)

Details

analyze194.0ms (0.1%)

sample50.0ms (0%)

simplify71.0ms (0%)

prune7.0ms (0%)

localize26.0ms (0%)

rewrite808.0ms (0.5%)

series2.4s (1.6%)

simplify156.0ms (0.1%)

prune553.0ms (0.4%)

localize30.0ms (0%)

rewrite723.0ms (0.5%)

series1.4s (0.9%)

simplify128.0ms (0.1%)

prune734.0ms (0.5%)

localize45.0ms (0%)

rewrite989.0ms (0.7%)

series4.8s (3.2%)

simplify151.0ms (0.1%)

prune1.2s (0.8%)

localize50.0ms (0%)

rewrite18.1s (12%)

series2.0min (78.3%)

Profiling