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)

sample43.0ms (0%)

Algorithm

1×

intervals

Results

34.0ms

256×

body

128

valid

Compiler

Compiled 129 to 106 computations (17.8% saved)

simplify221.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5204	79

prune6.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 14.6b

Counts

2 → 1

Compiler

Compiled 102 to 82 computations (19.6% saved)

localize21.0ms (0%)

Local error

Found 4 expressions with local error:

0.1b	(/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))
0.2b	(/.f64 (+.f64 -5125037576950889/18014398509481984 (/.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 1475339155889891/4503599627370496 (fabs.f64 x))))
0.5b	(+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.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 1475339155889891/4503599627370496 (fabs.f64 x)))))
14.5b	(-.f64 1 (/.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.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 1475339155889891/4503599627370496 (fabs.f64 x))))) (.f64 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))) (exp.f64 (*.f64 x x)))))

rewrite156.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

47×	`*-un-lft-identity_binary64_2124`
28×	`times-frac_binary64_2130`
27×	`add-sqr-sqrt_binary64_2146`
24×	`add-cube-cbrt_binary64_2159`
10×	`cancel-sign-sub-inv_binary64_2090` `distribute-lft-out_binary64_2075`
8×	`associate-/l*_binary64_2069` `add-log-exp_binary64_2163` `add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`
6×	`associate-/r/_binary64_2070` `associate-/r*_binary64_2068` `flip3-+_binary64_2127` `flip-+_binary64_2098`
4×	`pow1_binary64_2185` `associate-/l/_binary64_2071`
3×	`div-inv_binary64_2121`
2×	`difference-of-squares_binary64_2093` `clear-num_binary64_2123` `cbrt-undiv_binary64_2158` `associate-*l/_binary64_2067` `div-exp_binary64_2175` `frac-2neg_binary64_2135`
1×	`flip--_binary64_2099` `flip3--_binary64_2128` `sum-log_binary64_2215` `distribute-lft-out--_binary64_2076` `diff-log_binary64_2216` `+-commutative_binary64_2054` `sub-neg_binary64_2117`

Counts

4 → 106

Calls

4 calls:

44.0ms	(-.f64 1 (/.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.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 1475339155889891/4503599627370496 (fabs.f64 x))))) (.f64 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))) (exp.f64 (*.f64 x x)))))
40.0ms	(+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.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 1475339155889891/4503599627370496 (fabs.f64 x)))))
33.0ms	(/.f64 (+.f64 -5125037576950889/18014398509481984 (/.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 1475339155889891/4503599627370496 (fabs.f64 x))))
14.0ms	(/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))

series10.1s (6.7%)

Counts

4 → 12

Calls

4 calls:

7.9s	(-.f64 1 (/.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.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 1475339155889891/4503599627370496 (fabs.f64 x))))) (.f64 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))) (exp.f64 (*.f64 x x)))))
998.0ms	(+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.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 1475339155889891/4503599627370496 (fabs.f64 x)))))
980.0ms	(/.f64 (+.f64 -5125037576950889/18014398509481984 (/.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 1475339155889891/4503599627370496 (fabs.f64 x))))
221.0ms	(/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))

simplify138.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5147	10373

prune670.0ms (0.4%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	113	5	118
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	114	5	119

Merged error: 14.5b

Counts

119 → 5

Compiler

Compiled 10272 to 7662 computations (25.4% saved)

localize25.0ms (0%)

Local error

Found 4 expressions with local error:

0.1b	(/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))
0.2b	(/.f64 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.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))))) (sqrt.f64 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (sqrt.f64 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x)))))
0.5b	(+.f64 2295300911148351/9007199254740992 (/.f64 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.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))))) (sqrt.f64 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (sqrt.f64 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))))
14.5b	(-.f64 1 (/.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.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))))) (sqrt.f64 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (sqrt.f64 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))))) (.f64 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))) (exp.f64 (.f64 x x)))))

rewrite333.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

364×	`times-frac_binary64_2130`
281×	`*-un-lft-identity_binary64_2124`
185×	`add-sqr-sqrt_binary64_2146`
182×	`add-cube-cbrt_binary64_2159`
177×	`sqrt-prod_binary64_2140`
48×	`distribute-lft-out_binary64_2075`
34×	`associate-/l*_binary64_2069`
20×	`associate-/r/_binary64_2070`
16×	`sqrt-div_binary64_2141`
12×	`flip3-+_binary64_2127` `flip-+_binary64_2098`
11×	`add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`
10×	`cancel-sign-sub-inv_binary64_2090` `div-inv_binary64_2121`
9×	`associate-/r*_binary64_2068`
8×	`add-log-exp_binary64_2163`
4×	`cbrt-undiv_binary64_2158` `pow1_binary64_2185` `div-exp_binary64_2175`
3×	`associate-/l/_binary64_2071`
2×	`difference-of-squares_binary64_2093` `clear-num_binary64_2123` `associate-*l/_binary64_2067` `frac-2neg_binary64_2135`
1×	`flip--_binary64_2099` `flip3--_binary64_2128` `sum-log_binary64_2215` `distribute-lft-out--_binary64_2076` `diff-log_binary64_2216` `+-commutative_binary64_2054` `sub-neg_binary64_2117`

Counts

4 → 304

Calls

4 calls:

93.0ms	(-.f64 1 (/.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.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))))) (sqrt.f64 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (sqrt.f64 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))))) (.f64 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))) (exp.f64 (.f64 x x)))))
88.0ms	(+.f64 2295300911148351/9007199254740992 (/.f64 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.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))))) (sqrt.f64 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (sqrt.f64 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))))
52.0ms	(/.f64 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.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))))) (sqrt.f64 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (sqrt.f64 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x)))))
15.0ms	(/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))

series10.2s (6.8%)

Counts

4 → 12

Calls

4 calls:

7.9s	(-.f64 1 (/.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.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))))) (sqrt.f64 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (sqrt.f64 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))))) (.f64 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))) (exp.f64 (.f64 x x)))))
1.0s	(+.f64 2295300911148351/9007199254740992 (/.f64 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.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))))) (sqrt.f64 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (sqrt.f64 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))))
990.0ms	(/.f64 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.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))))) (sqrt.f64 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (sqrt.f64 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x)))))
235.0ms	(/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))

simplify332.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

316 → 316

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5153	33603

prune2.8s (1.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	316	0	316
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	316	5	321

Merged error: 14.5b

Counts

321 → 5

Compiler

Compiled 29523 to 22280 computations (24.5% saved)

localize38.0ms (0%)

Local error

Found 4 expressions with local error:

0.5b	(+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.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 1475339155889891/4503599627370496 (fabs.f64 x)))))
0.5b	(.f64 (/.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.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 1475339155889891/4503599627370496 (fabs.f64 x))))) (.f64 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))) (exp.f64 (.f64 x x)))) (+.f64 1 (/.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.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 1475339155889891/4503599627370496 (fabs.f64 x))))) (.f64 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))) (exp.f64 (*.f64 x x))))))
0.8b	(pow.f64 (/.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.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 1475339155889891/4503599627370496 (fabs.f64 x))))) (.f64 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))) (exp.f64 (*.f64 x x)))) 3)
14.0b	(-.f64 1 (pow.f64 (/.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.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 1475339155889891/4503599627370496 (fabs.f64 x))))) (.f64 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))) (exp.f64 (*.f64 x x)))) 3))

rewrite298.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

37×	`*-un-lft-identity_binary64_2124`
29×	`add-sqr-sqrt_binary64_2146`
26×	`cancel-sign-sub-inv_binary64_2090`
22×	`unpow-prod-down_binary64_2203` `cube-prod_binary64_2152`
20×	`times-frac_binary64_2130`
19×	`add-cbrt-cube_binary64_2160`
17×	`add-cube-cbrt_binary64_2159` `add-exp-log_binary64_2162`
11×	`associate-*l/_binary64_2067`
10×	`associate-/r/_binary64_2070` `associate-l_binary64_2065`
8×	`difference-of-squares_binary64_2093` `add-log-exp_binary64_2163` `flip3-+_binary64_2127` `flip-+_binary64_2098`
7×	`distribute-lft-out_binary64_2075` `pow1_binary64_2185`
5×	`prod-exp_binary64_2173` `div-inv_binary64_2121` `cbrt-unprod_binary64_2157`
4×	`cbrt-undiv_binary64_2158` `sqr-pow_binary64_2096` `associate-r_binary64_2064` `div-exp_binary64_2175`
3×	`pow-unpow_binary64_2201` `pow-exp_binary64_2192` `rem-cube-cbrt_binary64_2147`
2×	`unpow3_binary64_2190` `cube-mult_binary64_2154` `associate-*r/_binary64_2066` `frac-times_binary64_2134`
1×	`flip--_binary64_2099` `pow-prod-down_binary64_2195` `flip3--_binary64_2128` `unswap-sqr_binary64_2092` `pow-pow_binary64_2196` `sum-log_binary64_2215` `distribute-lft-out--_binary64_2076` `*-commutative_binary64_2055` `diff-log_binary64_2216` `+-commutative_binary64_2054` `distribute-rgt-in_binary64_2074` `sub-neg_binary64_2117` `pow-to-exp_binary64_2193` `cube-div_binary64_2153` `distribute-lft-in_binary64_2073`

Counts

4 → 137

Calls

4 calls:

96.0ms	(.f64 (/.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.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 1475339155889891/4503599627370496 (fabs.f64 x))))) (.f64 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))) (exp.f64 (.f64 x x)))) (+.f64 1 (/.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.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 1475339155889891/4503599627370496 (fabs.f64 x))))) (.f64 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))) (exp.f64 (*.f64 x x))))))
51.0ms	(-.f64 1 (pow.f64 (/.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.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 1475339155889891/4503599627370496 (fabs.f64 x))))) (.f64 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))) (exp.f64 (*.f64 x x)))) 3))
48.0ms	(pow.f64 (/.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.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 1475339155889891/4503599627370496 (fabs.f64 x))))) (.f64 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))) (exp.f64 (*.f64 x x)))) 3)
39.0ms	(+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.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 1475339155889891/4503599627370496 (fabs.f64 x)))))

Details

analyze3.0ms (0%)

sample43.0ms (0%)

simplify221.0ms (0.1%)

prune6.0ms (0%)

localize21.0ms (0%)

rewrite156.0ms (0.1%)

series10.1s (6.7%)

simplify138.0ms (0.1%)

prune670.0ms (0.4%)

localize25.0ms (0%)

rewrite333.0ms (0.2%)

series10.2s (6.8%)

simplify332.0ms (0.2%)

prune2.8s (1.9%)

localize38.0ms (0%)

rewrite298.0ms (0.2%)

series2.1min (83%)

Profiling