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)

sample37.0ms (0%)

Algorithm

1×

intervals

Results

29.0ms

256×

body

128

valid

Compiler

Compiled 129 to 106 computations (17.8% saved)

simplify155.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (56.0ms)

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

13.5b

Counts

2 → 2

Compiler

Compiled 166 to 134 computations (19.3% saved)

localize23.0ms (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))))))

rewrite47.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

27×	`add-sqr-sqrt_binary64_2146`
21×	`*-un-lft-identity_binary64_2124`
20×	`add-cube-cbrt_binary64_2159` `times-frac_binary64_2130`
17×	`add-exp-log_binary64_2162`
15×	`associate-l_binary64_2065`
11×	`add-cbrt-cube_binary64_2160`
8×	`add-log-exp_binary64_2163`
7×	`pow1_binary64_2185`
5×	`flip3-+_binary64_2127` `flip-+_binary64_2098`
4×	`associate-/r/_binary64_2070` `prod-exp_binary64_2173` `div-exp_binary64_2175`
3×	`unswap-sqr_binary64_2092` `associate-/l_binary64_2069` `associate-/r_binary64_2068` `associate-r_binary64_2064`
2×	`cbrt-undiv_binary64_2158` `associate-+r+_binary64_2056` `distribute-rgt-in_binary64_2074` `associate-*r/_binary64_2066` `frac-times_binary64_2134` `1-exp_binary64_2168` `div-inv_binary64_2121` `distribute-lft-in_binary64_2073` `cbrt-unprod_binary64_2157` `rec-exp_binary64_2174`
1×	`flip--_binary64_2099` `pow-prod-down_binary64_2195` `clear-num_binary64_2123` `flip3--_binary64_2128` `cancel-sign-sub-inv_binary64_2090` `sum-log_binary64_2215` `-commutative_binary64_2055` `diff-log_binary64_2216` `associate-l/_binary64_2067` `+-commutative_binary64_2054` `sub-neg_binary64_2117` `pow-flip_binary64_2198` `inv-pow_binary64_2209` `frac-2neg_binary64_2135`

Counts

4 → 101

Calls

4 calls:

14.0ms	(.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)))))
6.0ms	(/.f64 1 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))
5.0ms	(-.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))))))))

series2.1s (1.4%)

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))))))
519.0ms	(+.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))))))))
302.0ms	(.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)))))
44.0ms	(/.f64 1 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))

simplify117.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4942	5653
1	4942	5653

prune560.0ms (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)

localize30.0ms (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)))))

rewrite88.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

30×	`add-exp-log_binary64_2162`
24×	`times-frac_binary64_2130`
21×	`add-cube-cbrt_binary64_2159` `add-sqr-sqrt_binary64_2146` `*-un-lft-identity_binary64_2124`
18×	`associate-l_binary64_2065` `add-cbrt-cube_binary64_2160`
16×	`frac-times_binary64_2134`
12×	`prod-exp_binary64_2173` `associate-*r/_binary64_2066`
10×	`pow1_binary64_2185`
9×	`flip--_binary64_2099` `flip3--_binary64_2128` `distribute-rgt-in_binary64_2074` `distribute-lft-in_binary64_2073`
8×	`add-log-exp_binary64_2163`
7×	`difference-of-squares_binary64_2093` `flip3-+_binary64_2127` `flip-+_binary64_2098`
6×	`div-exp_binary64_2175` `cbrt-unprod_binary64_2157`
5×	`cancel-sign-sub-inv_binary64_2090` `associate-*l/_binary64_2067` `sub-neg_binary64_2117`
4×	`associate-/r/_binary64_2070` `associate-/r*_binary64_2068`
3×	`pow-prod-down_binary64_2195` `cbrt-undiv_binary64_2158` `associate-/l*_binary64_2069` `1-exp_binary64_2168` `rec-exp_binary64_2174`
2×	`associate-+r+_binary64_2056` `div-inv_binary64_2121`
1×	`clear-num_binary64_2123` `sum-log_binary64_2215` `-commutative_binary64_2055` `diff-log_binary64_2216` `+-commutative_binary64_2054` `pow-flip_binary64_2198` `associate-r*_binary64_2064` `inv-pow_binary64_2209` `frac-2neg_binary64_2135`

Counts

4 → 128

Calls

4 calls:

39.0ms	(.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)))))
12.0ms	(/.f64 1 (-.f64 (.f64 1 1) (.f64 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)) (.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))))))
4.0ms	(+.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))))))))

series5.5s (3.7%)

Counts

4 → 12

Calls

4 calls:

3.1s	(-.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))))))
1.9s	(+.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))))))))
444.0ms	(.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)))))
94.0ms	(/.f64 1 (-.f64 (.f64 1 1) (.f64 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)) (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))))

simplify161.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4955	9263
1	4955	9263

prune811.0ms (0.5%)

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)

localize48.0ms (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))))

rewrite288.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

201×	`times-frac_binary64_2130`
143×	`*-un-lft-identity_binary64_2124`
131×	`add-sqr-sqrt_binary64_2146`
122×	`cancel-sign-sub-inv_binary64_2090`
97×	`add-cube-cbrt_binary64_2159`
64×	`unpow-prod-down_binary64_2203` `cube-prod_binary64_2152`
24×	`associate-/l/_binary64_2071`
19×	`add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`
18×	`associate-/r/_binary64_2070` `distribute-lft-out_binary64_2075`
16×	`difference-of-squares_binary64_2093`
15×	`flip3-+_binary64_2127` `flip-+_binary64_2098`
13×	`flip--_binary64_2099` `flip3--_binary64_2128`
12×	`frac-times_binary64_2134`
11×	`div-inv_binary64_2121`
9×	`associate-/r*_binary64_2068`
6×	`cbrt-undiv_binary64_2158` `add-log-exp_binary64_2163` `associate-l/_binary64_2067` `associate-r/_binary64_2066` `div-exp_binary64_2175`
4×	`pow1_binary64_2185`
3×	`clear-num_binary64_2123` `associate-/l*_binary64_2069` `prod-exp_binary64_2173` `sqr-pow_binary64_2096` `cbrt-unprod_binary64_2157` `frac-2neg_binary64_2135`
1×	`unpow3_binary64_2190` `cube-mult_binary64_2154` `distribute-lft-out--_binary64_2076` `diff-log_binary64_2216` `sub-neg_binary64_2117`

Counts

4 → 243

Calls

4 calls:

89.0ms	(-.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))
29.0ms	(/.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))))
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))))

series2.3min (93.4%)

Calls

3 calls:

386.0ms

(/.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))))

374.0ms

(/.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))))

370.0ms

(/.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

analyze3.0ms (0%)

sample37.0ms (0%)

simplify155.0ms (0.1%)

prune8.0ms (0%)

localize23.0ms (0%)

rewrite47.0ms (0%)

series2.1s (1.4%)

simplify117.0ms (0.1%)

prune560.0ms (0.4%)

localize30.0ms (0%)

rewrite88.0ms (0.1%)

series5.5s (3.7%)

simplify161.0ms (0.1%)

prune811.0ms (0.5%)

localize48.0ms (0%)

rewrite288.0ms (0.2%)

series2.3min (93.4%)

Profiling