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)

sample46.0ms (0.6%)

Algorithm

1×

intervals

Results

34.0ms

256×

body

128

valid

Compiler

Compiled 347 to 94 computations (72.9% saved)

simplify239.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	4944	106
1	4944	106

prune18.0ms (0.2%)

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 386 to 217 computations (43.8% saved)

localize41.0ms (0.5%)

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))))

rewrite119.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Rules

29×	`add-sqr-sqrt_binary64_2165`
22×	`add-cube-cbrt_binary64_2178` `*-un-lft-identity_binary64_2143`
21×	`add-exp-log_binary64_2181` `add-cbrt-cube_binary64_2179`
19×	`associate-r_binary64_2083` `times-frac_binary64_2149`
16×	`pow1_binary64_2204`
8×	`cbrt-unprod_binary64_2176` `prod-exp_binary64_2192`
7×	`associate-l_binary64_2084` `pow-prod-down_binary64_2214`
4×	`add-log-exp_binary64_2182` `associate-/r/_binary64_2089` `unswap-sqr_binary64_2111`
3×	`associate-/r_binary64_2087` `associate-/l_binary64_2088` `flip3-+_binary64_2146` `flip-+_binary64_2117` `*-commutative_binary64_2074`
2×	`cbrt-undiv_binary64_2177` `div-inv_binary64_2140` `div-exp_binary64_2194` `associate-/l/_binary64_2090`
1×	`clear-num_binary64_2142` `associate-*r/_binary64_2085` `frac-2neg_binary64_2154`

Counts

4 → 103

Calls

4 calls:

44.0ms	(/.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))))
36.0ms	(.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)
7.0ms	(.f64 3782789308857969/36028797018963968 (.f64 x x))

series483.0ms (6.4%)

Counts

4 → 12

Calls

4 calls:

234.0ms	(.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)))))
178.0ms	(/.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))))
38.0ms	(.f64 3782789308857969/36028797018963968 (.f64 x x))
33.0ms	(.f64 (.f64 x x) 1737369620307813/2251799813685248)

simplify111.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5244	8726

prune933.0ms (12.4%)

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 14574 to 11472 computations (21.3% 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))

rewrite143.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Rules

62×	`times-frac_binary64_2149` `*-un-lft-identity_binary64_2143`
45×	`add-sqr-sqrt_binary64_2165` `add-cube-cbrt_binary64_2178`
24×	`unpow-prod-down_binary64_2222`
19×	`associate-/r*_binary64_2087`
14×	`add-exp-log_binary64_2181`
12×	`cube-prod_binary64_2171`
11×	`add-log-exp_binary64_2182`
8×	`sqr-pow_binary64_2115` `add-cbrt-cube_binary64_2179`
7×	`distribute-lft-out_binary64_2094`
6×	`associate-/l*_binary64_2088` `div-exp_binary64_2194`
5×	`frac-add_binary64_2151`
4×	`pow1_binary64_2204` `cube-mult_binary64_2173` `sum-log_binary64_2234` `unpow3_binary64_2209`
3×	`flip3-+_binary64_2146` `flip-+_binary64_2117`
2×	`cbrt-undiv_binary64_2177` `+-commutative_binary64_2073` `clear-num_binary64_2142` `pow-to-exp_binary64_2212` `div-inv_binary64_2140` `frac-2neg_binary64_2154` `pow-exp_binary64_2211`
1×	`associate-+r+_binary64_2075`

Counts

4 → 143

Calls

4 calls:

63.0ms	(+.f64 (/.f64 1/2 x) (+.f64 (/.f64 370645858300289935006419108089/2422807564493828181570755855648 (pow.f64 x 5)) (/.f64 1660320414109913/6603827387272392 (pow.f64 x 3))))
55.0ms	(+.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))

series327.0ms (4.3%)

Counts

4 → 12

Calls

4 calls:

162.0ms	(+.f64 (/.f64 370645858300289935006419108089/2422807564493828181570755855648 (pow.f64 x 5)) (/.f64 1660320414109913/6603827387272392 (pow.f64 x 3)))
61.0ms	(/.f64 370645858300289935006419108089/2422807564493828181570755855648 (pow.f64 x 5))
56.0ms	(+.f64 (/.f64 1/2 x) (+.f64 (/.f64 370645858300289935006419108089/2422807564493828181570755855648 (pow.f64 x 5)) (/.f64 1660320414109913/6603827387272392 (pow.f64 x 3))))
48.0ms	(/.f64 1660320414109913/6603827387272392 (pow.f64 x 3))

simplify119.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

155 → 155

Iterations

Useful iterations: 0 (79.0ms)

Iter	Nodes	Cost
0	4926	2581
1	4926	2581

prune228.0ms (3%)

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 3623 to 2866 computations (20.9% saved)

localize41.0ms (0.5%)

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)))))

rewrite328.0ms (4.4%)

Algorithm

1×	rewrite-expression-head

Rules

91×	`*-un-lft-identity_binary64_2143`
37×	`times-frac_binary64_2149`
35×	`add-sqr-sqrt_binary64_2165`
32×	`associate-r_binary64_2083`
28×	`distribute-lft-out_binary64_2094` `add-cube-cbrt_binary64_2178`
21×	`add-exp-log_binary64_2181` `add-cbrt-cube_binary64_2179`
16×	`pow1_binary64_2204`
14×	`distribute-lft-out--_binary64_2095`
12×	`associate-/r/_binary64_2089`
8×	`flip--_binary64_2118` `cbrt-unprod_binary64_2176` `flip3--_binary64_2147` `prod-exp_binary64_2192` `frac-add_binary64_2151`
7×	`associate-l_binary64_2084` `pow-prod-down_binary64_2214`
6×	`associate-/r*_binary64_2087`
4×	`add-log-exp_binary64_2182` `unswap-sqr_binary64_2111`
3×	`associate-/l_binary64_2088` `flip3-+_binary64_2146` `flip-+_binary64_2117` `-commutative_binary64_2074`
2×	`cbrt-undiv_binary64_2177` `div-inv_binary64_2140` `div-exp_binary64_2194` `associate-/l/_binary64_2090`
1×	`clear-num_binary64_2142` `associate-+r-_binary64_2077` `associate-*r/_binary64_2085` `frac-2neg_binary64_2154` `div-sub_binary64_2148`

Counts

4 → 133

Calls

4 calls:

223.0ms	(/.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)))))
49.0ms	(.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))))))
7.0ms	(.f64 (.f64 x x) 1737369620307813/2251799813685248)
7.0ms	(.f64 3782789308857969/36028797018963968 (.f64 x x))

series476.0ms (6.3%)

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))))))
171.0ms	(/.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)))))
40.0ms	(.f64 3782789308857969/36028797018963968 (.f64 x x))
34.0ms	(.f64 (.f64 x x) 1737369620307813/2251799813685248)

simplify163.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

145 → 145

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5040	12567

prune1.2s (15.5%)

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)

localize41.0ms (0.5%)

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))))

rewrite79.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`add-exp-log_binary64_2181`
21×	`add-cbrt-cube_binary64_2179`
18×	`add-sqr-sqrt_binary64_2165`
14×	`pow1_binary64_2204`
11×	`associate-r_binary64_2083` `add-cube-cbrt_binary64_2178` `*-un-lft-identity_binary64_2143`
10×	`prod-exp_binary64_2192`
8×	`cbrt-unprod_binary64_2176`
7×	`associate-l_binary64_2084`
6×	`pow-prod-down_binary64_2214`
5×	`unswap-sqr_binary64_2111`
4×	`add-log-exp_binary64_2182` `unpow-prod-down_binary64_2222`
3×	`associate-/r_binary64_2087` `-commutative_binary64_2074` `times-frac_binary64_2149`
2×	`cbrt-undiv_binary64_2177` `associate-/r/_binary64_2089` `associate-*r/_binary64_2085` `flip3-+_binary64_2146` `sqr-pow_binary64_2115` `flip-+_binary64_2117` `div-exp_binary64_2194` `associate-/l/_binary64_2090`
1×	`clear-num_binary64_2142` `associate-/l*_binary64_2088` `pow-to-exp_binary64_2212` `div-inv_binary64_2140` `frac-2neg_binary64_2154` `pow-exp_binary64_2211`

Counts

4 → 88

Calls

4 calls:

41.0ms	(/.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))))
7.0ms	(.f64 (.f64 x x) 1737369620307813/2251799813685248)
7.0ms	(.f64 3782789308857969/36028797018963968 (.f64 x x))
7.0ms	(*.f64 763919671262763/18014398509481984 (pow.f64 x 4))

series351.0ms (4.7%)

Counts

4 → 12

Calls

4 calls:

234.0ms	(/.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))))
51.0ms	(*.f64 763919671262763/18014398509481984 (pow.f64 x 4))
33.0ms	(.f64 3782789308857969/36028797018963968 (.f64 x x))
33.0ms	(.f64 (.f64 x x) 1737369620307813/2251799813685248)

simplify87.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4968	3700
1	4968	3700

prune502.0ms (6.7%)

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)

regimes38.0ms (0.5%)

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

bsearch122.0ms (1.6%)

Steps

Iters	Range		Point
9	76487754.07487892	7136764839410167.0	78220848.59948805
8	-46466.48897700459	-46.42995288718865	-39449.644466407415

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%)

sample1.3s (17.2%)

Algorithm

1×

intervals

Results

959.0ms

8000×

body

128

valid

Compiler

Compiled 426 to 251 computations (41.1% saved)

Details

analyze10.0ms (0.1%)

sample46.0ms (0.6%)

simplify239.0ms (3.2%)

prune18.0ms (0.2%)

localize41.0ms (0.5%)

rewrite119.0ms (1.6%)

series483.0ms (6.4%)

simplify111.0ms (1.5%)

prune933.0ms (12.4%)

localize10.0ms (0.1%)

rewrite143.0ms (1.9%)

series327.0ms (4.3%)

simplify119.0ms (1.6%)

prune228.0ms (3%)

localize41.0ms (0.5%)

rewrite328.0ms (4.4%)

series476.0ms (6.3%)

simplify163.0ms (2.2%)

prune1.2s (15.5%)

localize41.0ms (0.5%)

rewrite79.0ms (1%)

series351.0ms (4.7%)

simplify87.0ms (1.2%)

prune502.0ms (6.7%)

regimes38.0ms (0.5%)

bsearch122.0ms (1.6%)

simplify7.0ms (0.1%)

end0.0ms (0%)

sample1.3s (17.2%)

Profiling