Details

analyze10.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
50%	50%	0%	4
50%	50%	0%	5
81.2%	18.7%	0%	6
100%	0%	0%	7

Compiler

Compiled 174 to 47 computations (73% saved)

sample44.0ms (0.6%)

Algorithm

1×

intervals

Results

32.0ms

256×

body

128

valid

Compiler

Compiled 347 to 94 computations (72.9% saved)

simplify231.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4944	106
1	4944	106

prune8.0ms (0.1%)

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: 32.1b

Counts

2 → 1

Compiler

Compiled 142 to 114 computations (19.7% saved)

localize46.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 (.f64 x x) 1737369620307813/2251799813685248)
0.1b	(.f64 3782789308857969/36028797018963968 (.f64 x x))
17.2b	(.f64 x (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (.f64 3782789308857969/36028797018963968 (.f64 x x))) (.f64 763919671262763/18014398509481984 (pow.f64 x 4))) (.f64 8375303961237363/1152921504606846976 (pow.f64 x 6))) (.f64 583843369866023/1152921504606846976 (pow.f64 x 8))) (.f64 825478423409049/4611686018427387904 (pow.f64 x 10))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (.f64 (.f64 x x) 1737369620307813/2251799813685248)) (.f64 (pow.f64 x 4) 2620859570069187/9007199254740992)) (.f64 (pow.f64 x 6) 2502400853142105/36028797018963968)) (.f64 (pow.f64 x 8) 2017691060547333/144115188075855872)) (.f64 (pow.f64 x 10) 7681173503746455/9223372036854775808)) (.f64 825478423409049/2305843009213693952 (pow.f64 x 12)))))
31.6b	(/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (.f64 3782789308857969/36028797018963968 (.f64 x x))) (.f64 763919671262763/18014398509481984 (pow.f64 x 4))) (.f64 8375303961237363/1152921504606846976 (pow.f64 x 6))) (.f64 583843369866023/1152921504606846976 (pow.f64 x 8))) (.f64 825478423409049/4611686018427387904 (pow.f64 x 10))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (.f64 (.f64 x x) 1737369620307813/2251799813685248)) (.f64 (pow.f64 x 4) 2620859570069187/9007199254740992)) (.f64 (pow.f64 x 6) 2502400853142105/36028797018963968)) (.f64 (pow.f64 x 8) 2017691060547333/144115188075855872)) (.f64 (pow.f64 x 10) 7681173503746455/9223372036854775808)) (*.f64 825478423409049/2305843009213693952 (pow.f64 x 12))))

rewrite118.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Rules

29×	`add-sqr-sqrt_binary64_2120`
22×	`add-cube-cbrt_binary64_2131` `*-un-lft-identity_binary64_2099`
21×	`add-cbrt-cube_binary64_2132` `add-exp-log_binary64_2134`
19×	`times-frac_binary64_2105` `associate-r_binary64_2041`
16×	`pow1_binary64_2157`
8×	`prod-exp_binary64_2145` `cbrt-unprod_binary64_2129`
7×	`associate-l_binary64_2042` `pow-prod-down_binary64_2167`
4×	`associate-/r/_binary64_2047` `add-log-exp_binary64_2135` `unswap-sqr_binary64_2067`
3×	`flip3-+_binary64_2102` `-commutative_binary64_2032` `associate-/r_binary64_2045` `associate-/l*_binary64_2046` `flip-+_binary64_2073`
2×	`cbrt-undiv_binary64_2130` `div-exp_binary64_2147` `associate-/l/_binary64_2048` `div-inv_binary64_2096`
1×	`associate-*r/_binary64_2043` `frac-2neg_binary64_2110` `clear-num_binary64_2098`

Counts

4 → 103

Calls

4 calls:

39.0ms	(/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (.f64 3782789308857969/36028797018963968 (.f64 x x))) (.f64 763919671262763/18014398509481984 (pow.f64 x 4))) (.f64 8375303961237363/1152921504606846976 (pow.f64 x 6))) (.f64 583843369866023/1152921504606846976 (pow.f64 x 8))) (.f64 825478423409049/4611686018427387904 (pow.f64 x 10))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (.f64 (.f64 x x) 1737369620307813/2251799813685248)) (.f64 (pow.f64 x 4) 2620859570069187/9007199254740992)) (.f64 (pow.f64 x 6) 2502400853142105/36028797018963968)) (.f64 (pow.f64 x 8) 2017691060547333/144115188075855872)) (.f64 (pow.f64 x 10) 7681173503746455/9223372036854775808)) (*.f64 825478423409049/2305843009213693952 (pow.f64 x 12))))
34.0ms	(.f64 x (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (.f64 3782789308857969/36028797018963968 (.f64 x x))) (.f64 763919671262763/18014398509481984 (pow.f64 x 4))) (.f64 8375303961237363/1152921504606846976 (pow.f64 x 6))) (.f64 583843369866023/1152921504606846976 (pow.f64 x 8))) (.f64 825478423409049/4611686018427387904 (pow.f64 x 10))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (.f64 (.f64 x x) 1737369620307813/2251799813685248)) (.f64 (pow.f64 x 4) 2620859570069187/9007199254740992)) (.f64 (pow.f64 x 6) 2502400853142105/36028797018963968)) (.f64 (pow.f64 x 8) 2017691060547333/144115188075855872)) (.f64 (pow.f64 x 10) 7681173503746455/9223372036854775808)) (.f64 825478423409049/2305843009213693952 (pow.f64 x 12)))))
7.0ms	(.f64 (.f64 x x) 1737369620307813/2251799813685248)
6.0ms	(.f64 3782789308857969/36028797018963968 (.f64 x x))

series469.0ms (6.3%)

Counts

4 → 12

Calls

4 calls:

221.0ms	(.f64 x (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (.f64 3782789308857969/36028797018963968 (.f64 x x))) (.f64 763919671262763/18014398509481984 (pow.f64 x 4))) (.f64 8375303961237363/1152921504606846976 (pow.f64 x 6))) (.f64 583843369866023/1152921504606846976 (pow.f64 x 8))) (.f64 825478423409049/4611686018427387904 (pow.f64 x 10))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (.f64 (.f64 x x) 1737369620307813/2251799813685248)) (.f64 (pow.f64 x 4) 2620859570069187/9007199254740992)) (.f64 (pow.f64 x 6) 2502400853142105/36028797018963968)) (.f64 (pow.f64 x 8) 2017691060547333/144115188075855872)) (.f64 (pow.f64 x 10) 7681173503746455/9223372036854775808)) (.f64 825478423409049/2305843009213693952 (pow.f64 x 12)))))
175.0ms	(/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (.f64 3782789308857969/36028797018963968 (.f64 x x))) (.f64 763919671262763/18014398509481984 (pow.f64 x 4))) (.f64 8375303961237363/1152921504606846976 (pow.f64 x 6))) (.f64 583843369866023/1152921504606846976 (pow.f64 x 8))) (.f64 825478423409049/4611686018427387904 (pow.f64 x 10))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (.f64 (.f64 x x) 1737369620307813/2251799813685248)) (.f64 (pow.f64 x 4) 2620859570069187/9007199254740992)) (.f64 (pow.f64 x 6) 2502400853142105/36028797018963968)) (.f64 (pow.f64 x 8) 2017691060547333/144115188075855872)) (.f64 (pow.f64 x 10) 7681173503746455/9223372036854775808)) (*.f64 825478423409049/2305843009213693952 (pow.f64 x 12))))
37.0ms	(.f64 3782789308857969/36028797018963968 (.f64 x x))
36.0ms	(.f64 (.f64 x x) 1737369620307813/2251799813685248)

simplify151.0ms (2%)

Algorithm

1×	egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5226	8726

prune853.0ms (11.4%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	112	3	115
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	113	3	116

Merged error: 0b

Counts

116 → 3

Compiler

Compiled 11027 to 8628 computations (21.8% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (/.f64 370645858300289935006419108089/2422807564493828181570755855648 (pow.f64 x 5)) (/.f64 1660320414109913/6603827387272392 (pow.f64 x 3)))
0.0b	(+.f64 (/.f64 1/2 x) (+.f64 (/.f64 370645858300289935006419108089/2422807564493828181570755855648 (pow.f64 x 5)) (/.f64 1660320414109913/6603827387272392 (pow.f64 x 3))))
0.6b	(/.f64 370645858300289935006419108089/2422807564493828181570755855648 (pow.f64 x 5))
0.7b	(/.f64 1660320414109913/6603827387272392 (pow.f64 x 3))

rewrite137.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Rules

62×	`times-frac_binary64_2105` `*-un-lft-identity_binary64_2099`
45×	`add-sqr-sqrt_binary64_2120` `add-cube-cbrt_binary64_2131`
24×	`unpow-prod-down_binary64_2175`
19×	`associate-/r*_binary64_2045`
14×	`add-exp-log_binary64_2134`
12×	`cube-prod_binary64_2124`
11×	`add-log-exp_binary64_2135`
8×	`sqr-pow_binary64_2071` `add-cbrt-cube_binary64_2132`
7×	`distribute-lft-out_binary64_2052`
6×	`div-exp_binary64_2147` `associate-/l*_binary64_2046`
5×	`frac-add_binary64_2107`
4×	`pow1_binary64_2157` `sum-log_binary64_2187` `unpow3_binary64_2162` `cube-mult_binary64_2126`
3×	`flip3-+_binary64_2102` `flip-+_binary64_2073`
2×	`cbrt-undiv_binary64_2130` `pow-exp_binary64_2164` `pow-to-exp_binary64_2165` `frac-2neg_binary64_2110` `+-commutative_binary64_2031` `clear-num_binary64_2098` `div-inv_binary64_2096`
1×	`associate-+r+_binary64_2033`

Counts

4 → 143

Calls

4 calls:

60.0ms	(+.f64 (/.f64 1/2 x) (+.f64 (/.f64 370645858300289935006419108089/2422807564493828181570755855648 (pow.f64 x 5)) (/.f64 1660320414109913/6603827387272392 (pow.f64 x 3))))
53.0ms	(+.f64 (/.f64 370645858300289935006419108089/2422807564493828181570755855648 (pow.f64 x 5)) (/.f64 1660320414109913/6603827387272392 (pow.f64 x 3)))
6.0ms	(/.f64 1660320414109913/6603827387272392 (pow.f64 x 3))
5.0ms	(/.f64 370645858300289935006419108089/2422807564493828181570755855648 (pow.f64 x 5))

series349.0ms (4.7%)

Counts

4 → 12

Calls

4 calls:

186.0ms	(+.f64 (/.f64 370645858300289935006419108089/2422807564493828181570755855648 (pow.f64 x 5)) (/.f64 1660320414109913/6603827387272392 (pow.f64 x 3)))
63.0ms	(/.f64 370645858300289935006419108089/2422807564493828181570755855648 (pow.f64 x 5))
50.0ms	(+.f64 (/.f64 1/2 x) (+.f64 (/.f64 370645858300289935006419108089/2422807564493828181570755855648 (pow.f64 x 5)) (/.f64 1660320414109913/6603827387272392 (pow.f64 x 3))))
49.0ms	(/.f64 1660320414109913/6603827387272392 (pow.f64 x 3))

simplify61.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

155 → 155

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5812	2593

prune217.0ms (2.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	155	0	155
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	155	3	158

Merged error: 0b

Counts

158 → 3

Compiler

Compiled 3457 to 2736 computations (20.9% saved)

localize45.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 (.f64 x x) 1737369620307813/2251799813685248)
0.1b	(.f64 3782789308857969/36028797018963968 (.f64 x x))
17.2b	(.f64 x (/.f64 (+.f64 (.f64 (pow.f64 x 10) -825478423409049/4611686018427387904) (-.f64 -1 (+.f64 (+.f64 (.f64 3782789308857969/36028797018963968 (.f64 x x)) (.f64 763919671262763/18014398509481984 (pow.f64 x 4))) (+.f64 (.f64 8375303961237363/1152921504606846976 (pow.f64 x 6)) (.f64 583843369866023/1152921504606846976 (pow.f64 x 8)))))) (+.f64 (-.f64 -1 (+.f64 (+.f64 (.f64 (.f64 x x) 1737369620307813/2251799813685248) (.f64 (pow.f64 x 4) 2620859570069187/9007199254740992)) (+.f64 (.f64 (pow.f64 x 6) 2502400853142105/36028797018963968) (.f64 (pow.f64 x 8) 2017691060547333/144115188075855872)))) (-.f64 (.f64 (pow.f64 x 10) -7681173503746455/9223372036854775808) (.f64 825478423409049/2305843009213693952 (pow.f64 x 12))))))
31.6b	(/.f64 (+.f64 (.f64 (pow.f64 x 10) -825478423409049/4611686018427387904) (-.f64 -1 (+.f64 (+.f64 (.f64 3782789308857969/36028797018963968 (.f64 x x)) (.f64 763919671262763/18014398509481984 (pow.f64 x 4))) (+.f64 (.f64 8375303961237363/1152921504606846976 (pow.f64 x 6)) (.f64 583843369866023/1152921504606846976 (pow.f64 x 8)))))) (+.f64 (-.f64 -1 (+.f64 (+.f64 (.f64 (.f64 x x) 1737369620307813/2251799813685248) (.f64 (pow.f64 x 4) 2620859570069187/9007199254740992)) (+.f64 (.f64 (pow.f64 x 6) 2502400853142105/36028797018963968) (.f64 (pow.f64 x 8) 2017691060547333/144115188075855872)))) (-.f64 (.f64 (pow.f64 x 10) -7681173503746455/9223372036854775808) (*.f64 825478423409049/2305843009213693952 (pow.f64 x 12)))))

rewrite144.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Rules

91×	`*-un-lft-identity_binary64_2099`
37×	`times-frac_binary64_2105`
35×	`add-sqr-sqrt_binary64_2120`
32×	`associate-r_binary64_2041`
28×	`distribute-lft-out_binary64_2052` `add-cube-cbrt_binary64_2131`
21×	`add-cbrt-cube_binary64_2132` `add-exp-log_binary64_2134`
16×	`pow1_binary64_2157`
14×	`distribute-lft-out--_binary64_2053`
12×	`associate-/r/_binary64_2047`
8×	`prod-exp_binary64_2145` `flip3--_binary64_2103` `flip--_binary64_2074` `cbrt-unprod_binary64_2129` `frac-add_binary64_2107`
7×	`associate-l_binary64_2042` `pow-prod-down_binary64_2167`
6×	`associate-/r*_binary64_2045`
4×	`add-log-exp_binary64_2135` `unswap-sqr_binary64_2067`
3×	`flip3-+_binary64_2102` `-commutative_binary64_2032` `associate-/l_binary64_2046` `flip-+_binary64_2073`
2×	`cbrt-undiv_binary64_2130` `div-exp_binary64_2147` `associate-/l/_binary64_2048` `div-inv_binary64_2096`
1×	`associate-*r/_binary64_2043` `frac-2neg_binary64_2110` `div-sub_binary64_2104` `clear-num_binary64_2098` `associate-+r-_binary64_2035`

Counts

4 → 133

Calls

4 calls:

53.0ms	(.f64 x (/.f64 (+.f64 (.f64 (pow.f64 x 10) -825478423409049/4611686018427387904) (-.f64 -1 (+.f64 (+.f64 (.f64 3782789308857969/36028797018963968 (.f64 x x)) (.f64 763919671262763/18014398509481984 (pow.f64 x 4))) (+.f64 (.f64 8375303961237363/1152921504606846976 (pow.f64 x 6)) (.f64 583843369866023/1152921504606846976 (pow.f64 x 8)))))) (+.f64 (-.f64 -1 (+.f64 (+.f64 (.f64 (.f64 x x) 1737369620307813/2251799813685248) (.f64 (pow.f64 x 4) 2620859570069187/9007199254740992)) (+.f64 (.f64 (pow.f64 x 6) 2502400853142105/36028797018963968) (.f64 (pow.f64 x 8) 2017691060547333/144115188075855872)))) (-.f64 (.f64 (pow.f64 x 10) -7681173503746455/9223372036854775808) (.f64 825478423409049/2305843009213693952 (pow.f64 x 12))))))
42.0ms	(/.f64 (+.f64 (.f64 (pow.f64 x 10) -825478423409049/4611686018427387904) (-.f64 -1 (+.f64 (+.f64 (.f64 3782789308857969/36028797018963968 (.f64 x x)) (.f64 763919671262763/18014398509481984 (pow.f64 x 4))) (+.f64 (.f64 8375303961237363/1152921504606846976 (pow.f64 x 6)) (.f64 583843369866023/1152921504606846976 (pow.f64 x 8)))))) (+.f64 (-.f64 -1 (+.f64 (+.f64 (.f64 (.f64 x x) 1737369620307813/2251799813685248) (.f64 (pow.f64 x 4) 2620859570069187/9007199254740992)) (+.f64 (.f64 (pow.f64 x 6) 2502400853142105/36028797018963968) (.f64 (pow.f64 x 8) 2017691060547333/144115188075855872)))) (-.f64 (.f64 (pow.f64 x 10) -7681173503746455/9223372036854775808) (*.f64 825478423409049/2305843009213693952 (pow.f64 x 12)))))
7.0ms	(.f64 (.f64 x x) 1737369620307813/2251799813685248)
6.0ms	(.f64 3782789308857969/36028797018963968 (.f64 x x))

series482.0ms (6.4%)

Counts

4 → 12

Calls

4 calls:

231.0ms	(.f64 x (/.f64 (+.f64 (.f64 (pow.f64 x 10) -825478423409049/4611686018427387904) (-.f64 -1 (+.f64 (+.f64 (.f64 3782789308857969/36028797018963968 (.f64 x x)) (.f64 763919671262763/18014398509481984 (pow.f64 x 4))) (+.f64 (.f64 8375303961237363/1152921504606846976 (pow.f64 x 6)) (.f64 583843369866023/1152921504606846976 (pow.f64 x 8)))))) (+.f64 (-.f64 -1 (+.f64 (+.f64 (.f64 (.f64 x x) 1737369620307813/2251799813685248) (.f64 (pow.f64 x 4) 2620859570069187/9007199254740992)) (+.f64 (.f64 (pow.f64 x 6) 2502400853142105/36028797018963968) (.f64 (pow.f64 x 8) 2017691060547333/144115188075855872)))) (-.f64 (.f64 (pow.f64 x 10) -7681173503746455/9223372036854775808) (.f64 825478423409049/2305843009213693952 (pow.f64 x 12))))))
181.0ms	(/.f64 (+.f64 (.f64 (pow.f64 x 10) -825478423409049/4611686018427387904) (-.f64 -1 (+.f64 (+.f64 (.f64 3782789308857969/36028797018963968 (.f64 x x)) (.f64 763919671262763/18014398509481984 (pow.f64 x 4))) (+.f64 (.f64 8375303961237363/1152921504606846976 (pow.f64 x 6)) (.f64 583843369866023/1152921504606846976 (pow.f64 x 8)))))) (+.f64 (-.f64 -1 (+.f64 (+.f64 (.f64 (.f64 x x) 1737369620307813/2251799813685248) (.f64 (pow.f64 x 4) 2620859570069187/9007199254740992)) (+.f64 (.f64 (pow.f64 x 6) 2502400853142105/36028797018963968) (.f64 (pow.f64 x 8) 2017691060547333/144115188075855872)))) (-.f64 (.f64 (pow.f64 x 10) -7681173503746455/9223372036854775808) (*.f64 825478423409049/2305843009213693952 (pow.f64 x 12)))))
35.0ms	(.f64 3782789308857969/36028797018963968 (.f64 x x))
34.0ms	(.f64 (.f64 x x) 1737369620307813/2251799813685248)

simplify156.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

145 → 145

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5248	12567

prune1.3s (17.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	145	0	145
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	145	3	148

Merged error: 0b

Counts

148 → 3

Compiler

Compiled 14909 to 11662 computations (21.8% saved)

localize45.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 763919671262763/18014398509481984 (pow.f64 x 4))
0.1b	(.f64 (.f64 x x) 1737369620307813/2251799813685248)
0.1b	(.f64 3782789308857969/36028797018963968 (.f64 x x))
31.6b	(/.f64 (.f64 x (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (.f64 3782789308857969/36028797018963968 (.f64 x x))) (.f64 763919671262763/18014398509481984 (pow.f64 x 4))) (.f64 8375303961237363/1152921504606846976 (pow.f64 x 6))) (.f64 583843369866023/1152921504606846976 (pow.f64 x 8))) (.f64 825478423409049/4611686018427387904 (pow.f64 x 10)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (.f64 (.f64 x x) 1737369620307813/2251799813685248)) (.f64 (pow.f64 x 4) 2620859570069187/9007199254740992)) (.f64 (pow.f64 x 6) 2502400853142105/36028797018963968)) (.f64 (pow.f64 x 8) 2017691060547333/144115188075855872)) (.f64 (pow.f64 x 10) 7681173503746455/9223372036854775808)) (.f64 825478423409049/2305843009213693952 (pow.f64 x 12))))

rewrite78.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`add-exp-log_binary64_2134`
21×	`add-cbrt-cube_binary64_2132`
18×	`add-sqr-sqrt_binary64_2120`
14×	`pow1_binary64_2157`
11×	`add-cube-cbrt_binary64_2131` `-un-lft-identity_binary64_2099` `associate-r*_binary64_2041`
10×	`prod-exp_binary64_2145`
8×	`cbrt-unprod_binary64_2129`
7×	`associate-l_binary64_2042`
6×	`pow-prod-down_binary64_2167`
5×	`unswap-sqr_binary64_2067`
4×	`unpow-prod-down_binary64_2175` `add-log-exp_binary64_2135`
3×	`-commutative_binary64_2032` `times-frac_binary64_2105` `associate-/r_binary64_2045`
2×	`sqr-pow_binary64_2071` `cbrt-undiv_binary64_2130` `associate-*r/_binary64_2043` `flip3-+_binary64_2102` `div-exp_binary64_2147` `associate-/l/_binary64_2048` `associate-/r/_binary64_2047` `flip-+_binary64_2073`
1×	`pow-exp_binary64_2164` `pow-to-exp_binary64_2165` `frac-2neg_binary64_2110` `clear-num_binary64_2098` `associate-/l*_binary64_2046` `div-inv_binary64_2096`

Counts

4 → 88

Calls

4 calls:

36.0ms	(/.f64 (.f64 x (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (.f64 3782789308857969/36028797018963968 (.f64 x x))) (.f64 763919671262763/18014398509481984 (pow.f64 x 4))) (.f64 8375303961237363/1152921504606846976 (pow.f64 x 6))) (.f64 583843369866023/1152921504606846976 (pow.f64 x 8))) (.f64 825478423409049/4611686018427387904 (pow.f64 x 10)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (.f64 (.f64 x x) 1737369620307813/2251799813685248)) (.f64 (pow.f64 x 4) 2620859570069187/9007199254740992)) (.f64 (pow.f64 x 6) 2502400853142105/36028797018963968)) (.f64 (pow.f64 x 8) 2017691060547333/144115188075855872)) (.f64 (pow.f64 x 10) 7681173503746455/9223372036854775808)) (.f64 825478423409049/2305843009213693952 (pow.f64 x 12))))
6.0ms	(.f64 (.f64 x x) 1737369620307813/2251799813685248)
6.0ms	(.f64 3782789308857969/36028797018963968 (.f64 x x))
6.0ms	(*.f64 763919671262763/18014398509481984 (pow.f64 x 4))

series369.0ms (4.9%)

Counts

4 → 12

Calls

4 calls:

247.0ms	(/.f64 (.f64 x (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (.f64 3782789308857969/36028797018963968 (.f64 x x))) (.f64 763919671262763/18014398509481984 (pow.f64 x 4))) (.f64 8375303961237363/1152921504606846976 (pow.f64 x 6))) (.f64 583843369866023/1152921504606846976 (pow.f64 x 8))) (.f64 825478423409049/4611686018427387904 (pow.f64 x 10)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (.f64 (.f64 x x) 1737369620307813/2251799813685248)) (.f64 (pow.f64 x 4) 2620859570069187/9007199254740992)) (.f64 (pow.f64 x 6) 2502400853142105/36028797018963968)) (.f64 (pow.f64 x 8) 2017691060547333/144115188075855872)) (.f64 (pow.f64 x 10) 7681173503746455/9223372036854775808)) (.f64 825478423409049/2305843009213693952 (pow.f64 x 12))))
50.0ms	(*.f64 763919671262763/18014398509481984 (pow.f64 x 4))
36.0ms	(.f64 3782789308857969/36028797018963968 (.f64 x x))
35.0ms	(.f64 (.f64 x x) 1737369620307813/2251799813685248)

simplify83.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4960	3700
1	4960	3700

prune534.0ms (7.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	100	0	100
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	100	3	103

Merged error: 0b

Counts

103 → 3

Compiler

Compiled 7965 to 6216 computations (22% saved)

regimes39.0ms (0.5%)

Compiler: Compiled 159 to 129 computations (18.9% saved)

bsearch125.0ms (1.7%)

Steps

Iters	Range		Point
9	76487754.07487892	7136764839410167.0	78220848.59948805
8	-168485164142.47318	-590858974.1829716	-3214564519.72824

Compiler

Compiled 1 to 1 computations (0% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	342	142
1	342	142

end0.0ms (0%)

sample1.4s (18.3%)

Algorithm

1×

intervals

Results

1.0s

8000×

body

128

valid

Compiler

Compiled 426 to 251 computations (41.1% saved)

Details

analyze10.0ms (0.1%)

sample44.0ms (0.6%)

simplify231.0ms (3.1%)

prune8.0ms (0.1%)

localize46.0ms (0.6%)

rewrite118.0ms (1.6%)

series469.0ms (6.3%)

simplify151.0ms (2%)

prune853.0ms (11.4%)

localize10.0ms (0.1%)

rewrite137.0ms (1.8%)

series349.0ms (4.7%)

simplify61.0ms (0.8%)

prune217.0ms (2.9%)

localize45.0ms (0.6%)

rewrite144.0ms (1.9%)

series482.0ms (6.4%)

simplify156.0ms (2.1%)

prune1.3s (17.4%)

localize45.0ms (0.6%)

rewrite78.0ms (1%)

series369.0ms (4.9%)

simplify83.0ms (1.1%)

prune534.0ms (7.1%)

regimes39.0ms (0.5%)

bsearch125.0ms (1.7%)

simplify7.0ms (0.1%)

end0.0ms (0%)

sample1.4s (18.3%)

Profiling