Details

analyze14.0ms (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
75%	25%	0%	5
87.5%	12.5%	0%	6
93.7%	6.2%	0%	7
96.8%	3.1%	0%	8
98.4%	1.6%	0%	9
99.2%	0.8%	0%	10
99.6%	0.4%	0%	11
99.8%	0.2%	0%	12
99.9%	0.1%	0%	13
99.9%	0.1%	0.1%	14

Compiler

Compiled 16 to 14 computations (12.5% saved)

sample31.0ms (0.2%)

Algorithm

1×

intervals

Results

8.0ms	43×	body	1024	valid
8.0ms	57×	body	512	valid
6.0ms	132×	body	128	valid
2.0ms	24×	body	256	valid

Compiler

Compiled 31 to 28 computations (9.7% saved)

simplify1.1s (9.1%)

Algorithm

1×	egg-herbie

Rules

618×	`distribute-rgt-out_binary64_2077`
597×	`distribute-rgt-out--_binary64_2078`
543×	`sub-neg_binary64_2117`
396×	`associate-/l/_binary64_2071`
161×	`div-sub_binary64_2129`
148×	`associate-/r*_binary64_2068`
133×	`distribute-rgt-in_binary64_2074`
132×	`unsub-neg_binary64_2118`
98×	`neg-sub0_binary64_2119`
87×	`neg-mul-1_binary64_2120`
75×	`exp-prod_binary64_2176`
72×	`associate-/r/_binary64_2070`
62×	`exp-sum_binary64_2170`
61×	`distribute-lft-in_binary64_2073`
57×	`sqr-neg_binary64_2138`
52×	`swap-sqr_binary64_2091`
45×	`associate-/l*_binary64_2069`
44×	`exp-diff_binary64_2172`
41×	`times-frac_binary64_2130`
40×	`associate--r+_binary64_2060`
39×	`cancel-sign-sub-inv_binary64_2090` `distribute-rgt-neg-out_binary64_2084`
38×	`remove-double-neg_binary64_2112`
37×	`distribute-lft-neg-out_binary64_2083`
36×	`exp-neg_binary64_2171`
30×	`distribute-rgt1-in_binary64_2080`
29×	`pow-plus_binary64_2187`
28×	`distribute-rgt-neg-in_binary64_2082`
26×	`distribute-frac-neg_binary64_2087` `associate-+l-_binary64_2059`
23×	`associate-l_binary64_2065` `associate--r-_binary64_2063` `*-commutative_binary64_2055`
22×	`distribute-lft-neg-in_binary64_2081` `associate-r_binary64_2064`
18×	`distribute-neg-in_binary64_2085` `associate--l+_binary64_2061`
17×	`sub0-neg_binary64_2111` `mul0-lft_binary64_2106` `+-commutative_binary64_2054`
16×	`associate--l-_binary64_2062`
15×	`mul-1-neg_binary64_2116` `associate-+r-_binary64_2058` `associate-+r+_binary64_2056`
13×	`*-lft-identity_binary64_2113` `mul0-rgt_binary64_2107` `div0_binary64_2105` `distribute-neg-out_binary64_2086`
12×	`distribute-neg-frac_binary64_2088`
11×	`*-rgt-identity_binary64_2114`
10×	`cube-unmult_binary64_2161` `/-rgt-identity_binary64_2115` `sqr-pow_binary64_2096` `associate-+l+_binary64_2057`
9×	`exp-lft-sqr_binary64_2179`
8×	`--rgt-identity_binary64_2110` `+-rgt-identity_binary64_2109`
6×	`cube-prod_binary64_2152` `pow-sqr_binary64_2097`
5×	`remove-double-div_binary64_2100`
4×	`associate-*l/_binary64_2067`
3×	`pow-base-1_binary64_2184` `+-inverses_binary64_2103` `distribute-lft1-in_binary64_2079` `count-2_binary64_2072`
2×	`prod-exp_binary64_2173` `+-lft-identity_binary64_2108` `*-inverses_binary64_2104`
1×	`div-exp_binary64_2175` `rec-exp_binary64_2174` `1-exp_binary64_2168` `exp-1-e_binary64_2167` `cube-neg_binary64_2151` `difference-of-sqr-1_binary64_2094` `difference-of-squares_binary64_2093` `cancel-sign-sub_binary64_2089` `distribute-lft-out--_binary64_2076` `distribute-lft-out_binary64_2075` `associate-*r/_binary64_2066`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_2387` `erf-erfc_binary64_2386` `erf-odd_binary64_2385` `if-if-and-not_binary64_2384` `if-if-and_binary64_2383` `if-if-or-not_binary64_2382` `if-if-or_binary64_2381` `if-not_binary64_2380` `if-same_binary64_2379` `if-false_binary64_2378` `if-true_binary64_2377` `not-gte_binary64_2376` `not-lte_binary64_2375` `not-gt_binary64_2374` `not-lt_binary64_2373` `gte-same_binary64_2372` `lte-same_binary64_2371` `gt-same_binary64_2370` `lt-same_binary64_2369` `sinh---cosh_binary64_2316` `sinh-+-cosh_binary64_2315` `sinh-cosh_binary64_2314` `tanh-def-c_binary64_2313` `tanh-def-b_binary64_2312` `tanh-def-a_binary64_2311` `cosh-def_binary64_2310` `sinh-def_binary64_2309` `tan-neg_binary64_2256` `cos-neg_binary64_2255` `sin-neg_binary64_2254` `tan-0_binary64_2253` `cos-0_binary64_2252` `sin-0_binary64_2251` `hang-m-tan_binary64_2250` `hang-p-tan_binary64_2249` `hang-m0-tan_binary64_2248` `hang-p0-tan_binary64_2247` `hang-0m-tan_binary64_2246` `hang-0p-tan_binary64_2245` `tan-+PI/2_binary64_2244` `tan-+PI_binary64_2243` `tan-PI_binary64_2242` `tan-PI/3_binary64_2241` `tan-PI/4_binary64_2240` `tan-PI/6_binary64_2239` `cos-+PI/2_binary64_2238` `cos-+PI_binary64_2237` `cos-PI_binary64_2236` `cos-PI/2_binary64_2235` `cos-PI/3_binary64_2234` `cos-PI/4_binary64_2233` `cos-PI/6_binary64_2232` `sin-+PI/2_binary64_2231` `sin-+PI_binary64_2230` `sin-PI_binary64_2229` `sin-PI/2_binary64_2228` `sin-PI/3_binary64_2227` `sin-PI/4_binary64_2226` `sin-PI/6_binary64_2225` `sub-1-sin_binary64_2224` `sub-1-cos_binary64_2223` `-1-add-sin_binary64_2222` `-1-add-cos_binary64_2221` `1-sub-sin_binary64_2220` `1-sub-cos_binary64_2219` `cos-sin-sum_binary64_2218` `log-E_binary64_2214` `log-pow_binary64_2213` `log-rec_binary64_2212` `log-div_binary64_2211` `log-prod_binary64_2210` `pow-base-0_binary64_2208` `unpow1/3_binary64_2191` `unpow3_binary64_2190` `unpow2_binary64_2189` `unpow1/2_binary64_2188` `exp-to-pow_binary64_2186` `unpow0_binary64_2183` `unpow1_binary64_2182` `unpow-1_binary64_2181` `exp-lft-cube_binary64_2180` `exp-cbrt_binary64_2178` `exp-sqrt_binary64_2177` `e-exp-1_binary64_2169` `exp-0_binary64_2166` `rem-log-exp_binary64_2165` `rem-exp-log_binary64_2164` `cube-mult_binary64_2154` `cube-div_binary64_2153` `rem-3cbrt-rft_binary64_2150` `rem-3cbrt-lft_binary64_2149` `rem-cbrt-cube_binary64_2148` `rem-cube-cbrt_binary64_2147` `sqr-abs_binary64_2139` `rem-sqrt-square_binary64_2137` `rem-square-sqrt_binary64_2136` `lft-mult-inverse_binary64_2102` `rgt-mult-inverse_binary64_2101` `difference-of-sqr--1_binary64_2095` `unswap-sqr_binary64_2092`

Counts

1 → 5

Iterations

Useful iterations: 7 (1.0ms)

Iter	Nodes	Cost
0	11	22
1	21	22
2	39	22
3	67	22
4	162	22
5	287	22
6	544	22
7	3434	1
8	42	1

prune4.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	4	1	5
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	4	2	6

Error

10.5b

Counts

6 → 2

Compiler

Compiled 77 to 65 computations (15.6% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 1 (-.f64 x 1))
0.0b	(/.f64 1 (+.f64 x 1))
0.0b	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x))
2.4b	(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))

rewrite248.0ms (2%)

Algorithm

1×	rewrite-expression-head

Error

9.6b

Rules

112×	`*-un-lft-identity_binary64_2124`
74×	`times-frac_binary64_2130`
72×	`add-sqr-sqrt_binary64_2146`
39×	`add-cube-cbrt_binary64_2159`
26×	`cancel-sign-sub-inv_binary64_2090`
18×	`distribute-lft-out--_binary64_2076`
17×	`distribute-lft-out_binary64_2075`
14×	`associate-+l+_binary64_2057` `difference-of-squares_binary64_2093`
12×	`add-exp-log_binary64_2162`
11×	`add-log-exp_binary64_2163` `associate-/r*_binary64_2068`
10×	`div-inv_binary64_2121`
8×	`add-cbrt-cube_binary64_2160`
6×	`pow1_binary64_2185` `associate-/l*_binary64_2069`
4×	`div-exp_binary64_2175` `associate-/r/_binary64_2070` `difference-of-sqr-1_binary64_2094`
3×	`frac-add_binary64_2132` `flip3--_binary64_2128` `flip--_binary64_2099`
2×	`diff-log_binary64_2216` `sum-log_binary64_2215` `frac-sub_binary64_2133` `flip3-+_binary64_2127` `flip-+_binary64_2098` `sub-neg_binary64_2117` `inv-pow_binary64_2209` `pow-flip_binary64_2198` `1-exp_binary64_2168` `rec-exp_binary64_2174` `cbrt-undiv_binary64_2158` `frac-2neg_binary64_2135` `clear-num_binary64_2123`
1×	`associate-+l-_binary64_2059` `+-commutative_binary64_2054`

Counts

4 → 161

Calls

4 calls:

35.0ms	(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
16.0ms	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x))
5.0ms	(/.f64 1 (-.f64 x 1))
4.0ms	(/.f64 1 (+.f64 x 1))

Compiler

Compiled 3810 to 3089 computations (18.9% saved)

series119.0ms (1%)

Error

0.1b

Counts

4 → 48

Calls

4 calls:

40.0ms	(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
17.0ms	(/.f64 1 (+.f64 x 1))
16.0ms	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x))
14.0ms	(/.f64 1 (-.f64 x 1))

Compiler

Compiled 1760 to 1471 computations (16.4% saved)

simplify789.0ms (6.3%)

Algorithm

1×	egg-herbie

Rules

439×	`times-frac_binary64_2130`
398×	`distribute-rgt-in_binary64_2074`
396×	`associate-/l*_binary64_2069`
338×	`distribute-lft-in_binary64_2073`
163×	`sub-neg_binary64_2117`
162×	`associate-/l/_binary64_2071`
157×	`associate-/r/_binary64_2070`
139×	`cancel-sign-sub-inv_binary64_2090`
120×	`div-sub_binary64_2129`
109×	`+-commutative_binary64_2054`
103×	`distribute-rgt-neg-in_binary64_2082`
94×	`distribute-lft-neg-out_binary64_2083` `*-commutative_binary64_2055`
91×	`neg-sub0_binary64_2119`
86×	`neg-mul-1_binary64_2120`
81×	`distribute-neg-in_binary64_2085` `associate-*l/_binary64_2067`
78×	`distribute-neg-frac_binary64_2088`
68×	`distribute-lft-neg-in_binary64_2081`
63×	`unsub-neg_binary64_2118`
61×	`distribute-rgt-neg-out_binary64_2084` `distribute-rgt-out_binary64_2077` `associate-*r/_binary64_2066`
55×	`associate-/r*_binary64_2068`
53×	`sqr-pow_binary64_2096`
44×	`distribute-lft-out_binary64_2075`
42×	`associate-+r+_binary64_2056`
41×	`associate-+l+_binary64_2057`
40×	`*-rgt-identity_binary64_2114`
37×	`associate-l_binary64_2065`
34×	`associate--r+_binary64_2060`
33×	`distribute-rgt-out--_binary64_2078`
30×	`exp-prod_binary64_2176` `associate-r_binary64_2064`
27×	`pow-sqr_binary64_2097`
26×	`/-rgt-identity_binary64_2115`
24×	`distribute-neg-out_binary64_2086`
18×	`distribute-frac-neg_binary64_2087` `associate--l+_binary64_2061`
17×	`cube-prod_binary64_2152` `associate-+r-_binary64_2058`
16×	`*-lft-identity_binary64_2113`
15×	`unswap-sqr_binary64_2092`
13×	`cube-div_binary64_2153` `swap-sqr_binary64_2091`
12×	`+-rgt-identity_binary64_2109`
11×	`distribute-rgt1-in_binary64_2080`
10×	`difference-of-squares_binary64_2093`
9×	`log-div_binary64_2211` `log-prod_binary64_2210` `unpow3_binary64_2190`
8×	`exp-sum_binary64_2170` `distribute-lft-out--_binary64_2076`
7×	`pow-plus_binary64_2187` `cube-mult_binary64_2154` `associate-+l-_binary64_2059`
6×	`mul-1-neg_binary64_2116`
5×	`log-pow_binary64_2213` `exp-diff_binary64_2172`
4×	`div-exp_binary64_2175` `prod-exp_binary64_2173` `cube-unmult_binary64_2161` `difference-of-sqr-1_binary64_2094`
3×	`log-rec_binary64_2212` `pow-base-1_binary64_2184` `exp-lft-sqr_binary64_2179` `sub0-neg_binary64_2111` `div0_binary64_2105`
2×	`rem-3cbrt-lft_binary64_2149` `rem-sqrt-square_binary64_2137` `rem-square-sqrt_binary64_2136` `distribute-lft1-in_binary64_2079` `associate--r-_binary64_2063`
1×	`unpow2_binary64_2189` `unpow1_binary64_2182` `rec-exp_binary64_2174` `1-exp_binary64_2168` `rem-log-exp_binary64_2165` `rem-cbrt-cube_binary64_2148` `sqr-neg_binary64_2138` `remove-double-neg_binary64_2112` `*-inverses_binary64_2104` `count-2_binary64_2072` `associate--l-_binary64_2062`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_2387` `erf-erfc_binary64_2386` `erf-odd_binary64_2385` `if-if-and-not_binary64_2384` `if-if-and_binary64_2383` `if-if-or-not_binary64_2382` `if-if-or_binary64_2381` `if-not_binary64_2380` `if-same_binary64_2379` `if-false_binary64_2378` `if-true_binary64_2377` `not-gte_binary64_2376` `not-lte_binary64_2375` `not-gt_binary64_2374` `not-lt_binary64_2373` `gte-same_binary64_2372` `lte-same_binary64_2371` `gt-same_binary64_2370` `lt-same_binary64_2369` `sinh---cosh_binary64_2316` `sinh-+-cosh_binary64_2315` `sinh-cosh_binary64_2314` `tanh-def-c_binary64_2313` `tanh-def-b_binary64_2312` `tanh-def-a_binary64_2311` `cosh-def_binary64_2310` `sinh-def_binary64_2309` `tan-neg_binary64_2256` `cos-neg_binary64_2255` `sin-neg_binary64_2254` `tan-0_binary64_2253` `cos-0_binary64_2252` `sin-0_binary64_2251` `hang-m-tan_binary64_2250` `hang-p-tan_binary64_2249` `hang-m0-tan_binary64_2248` `hang-p0-tan_binary64_2247` `hang-0m-tan_binary64_2246` `hang-0p-tan_binary64_2245` `tan-+PI/2_binary64_2244` `tan-+PI_binary64_2243` `tan-PI_binary64_2242` `tan-PI/3_binary64_2241` `tan-PI/4_binary64_2240` `tan-PI/6_binary64_2239` `cos-+PI/2_binary64_2238` `cos-+PI_binary64_2237` `cos-PI_binary64_2236` `cos-PI/2_binary64_2235` `cos-PI/3_binary64_2234` `cos-PI/4_binary64_2233` `cos-PI/6_binary64_2232` `sin-+PI/2_binary64_2231` `sin-+PI_binary64_2230` `sin-PI_binary64_2229` `sin-PI/2_binary64_2228` `sin-PI/3_binary64_2227` `sin-PI/4_binary64_2226` `sin-PI/6_binary64_2225` `sub-1-sin_binary64_2224` `sub-1-cos_binary64_2223` `-1-add-sin_binary64_2222` `-1-add-cos_binary64_2221` `1-sub-sin_binary64_2220` `1-sub-cos_binary64_2219` `cos-sin-sum_binary64_2218` `log-E_binary64_2214` `pow-base-0_binary64_2208` `unpow1/3_binary64_2191` `unpow1/2_binary64_2188` `exp-to-pow_binary64_2186` `unpow0_binary64_2183` `unpow-1_binary64_2181` `exp-lft-cube_binary64_2180` `exp-cbrt_binary64_2178` `exp-sqrt_binary64_2177` `exp-neg_binary64_2171` `e-exp-1_binary64_2169` `exp-1-e_binary64_2167` `exp-0_binary64_2166` `rem-exp-log_binary64_2164` `cube-neg_binary64_2151` `rem-3cbrt-rft_binary64_2150` `rem-cube-cbrt_binary64_2147` `sqr-abs_binary64_2139` `--rgt-identity_binary64_2110` `+-lft-identity_binary64_2108` `mul0-rgt_binary64_2107` `mul0-lft_binary64_2106` `+-inverses_binary64_2103` `lft-mult-inverse_binary64_2102` `rgt-mult-inverse_binary64_2101` `remove-double-div_binary64_2100` `difference-of-sqr--1_binary64_2095` `cancel-sign-sub_binary64_2089`

Counts

209 → 463

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	314	3980
1	778	3608
2	2083	3407

prune532.0ms (4.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	460	3	463
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	461	4	465

Error

0.0b

Counts

465 → 4

Compiler

Compiled 12511 to 9897 computations (20.9% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 7)))
0.0b	(/.f64 2 (pow.f64 x 7))
0.1b	(/.f64 2 (pow.f64 x 5))
0.1b	(/.f64 2 (pow.f64 x 3))

rewrite234.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

84×	`times-frac_binary64_2130`
71×	`*-un-lft-identity_binary64_2124`
63×	`add-cube-cbrt_binary64_2159` `add-sqr-sqrt_binary64_2146`
36×	`unpow-prod-down_binary64_2203`
26×	`associate-/r*_binary64_2068`
19×	`add-exp-log_binary64_2162`
12×	`cube-prod_binary64_2152` `sqr-pow_binary64_2096`
10×	`add-cbrt-cube_binary64_2160`
9×	`div-exp_binary64_2175` `associate-/l*_binary64_2069`
6×	`add-log-exp_binary64_2163`
5×	`div-inv_binary64_2121` `distribute-lft-out_binary64_2075`
4×	`pow1_binary64_2185` `unpow3_binary64_2190` `cube-mult_binary64_2154`
3×	`pow-to-exp_binary64_2193` `pow-exp_binary64_2192` `cbrt-undiv_binary64_2158` `frac-2neg_binary64_2135` `clear-num_binary64_2123`
1×	`sum-log_binary64_2215` `frac-add_binary64_2132` `flip3-+_binary64_2127` `flip-+_binary64_2098` `+-commutative_binary64_2054`

Counts

4 → 172

Calls

4 calls:

29.0ms	(+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 7)))
4.0ms	(/.f64 2 (pow.f64 x 3))
4.0ms	(/.f64 2 (pow.f64 x 7))
4.0ms	(/.f64 2 (pow.f64 x 5))

Compiler

Compiled 4335 to 3560 computations (17.9% saved)

series112.0ms (0.9%)

Error

0.0b

Counts

4 → 15

Calls

4 calls:

44.0ms	(+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 7)))
21.0ms	(/.f64 2 (pow.f64 x 7))
16.0ms	(/.f64 2 (pow.f64 x 5))
15.0ms	(/.f64 2 (pow.f64 x 3))

Compiler

Compiled 714 to 622 computations (12.9% saved)

simplify234.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

657×	`associate-l_binary64_2065`
502×	`associate-r_binary64_2064`
303×	`associate-*l/_binary64_2067`
236×	`associate-*r/_binary64_2066`
212×	`associate-/r/_binary64_2070`
178×	`unswap-sqr_binary64_2092`
166×	`associate-/r*_binary64_2068`
144×	`*-commutative_binary64_2055`
110×	`associate-/l*_binary64_2069`
104×	`associate-/l/_binary64_2071`
99×	`sqr-pow_binary64_2096`
84×	`log-pow_binary64_2213`
81×	`times-frac_binary64_2130`
72×	`pow-sqr_binary64_2097`
69×	`distribute-rgt-neg-in_binary64_2082` `distribute-rgt-in_binary64_2074`
65×	`cancel-sign-sub-inv_binary64_2090`
62×	`distribute-lft-neg-in_binary64_2081`
61×	`log-prod_binary64_2210`
57×	`distribute-lft-in_binary64_2073`
39×	`cube-prod_binary64_2152`
30×	`swap-sqr_binary64_2091`
25×	`sub-neg_binary64_2117` `/-rgt-identity_binary64_2115` `+-commutative_binary64_2054`
24×	`*-rgt-identity_binary64_2114` `distribute-neg-frac_binary64_2088`
23×	`pow-plus_binary64_2187` `neg-mul-1_binary64_2120`
22×	`neg-sub0_binary64_2119`
18×	`log-div_binary64_2211`
17×	`prod-exp_binary64_2173`
16×	`div-exp_binary64_2175` `cube-div_binary64_2153`
14×	`associate-+l+_binary64_2057`
13×	`unpow3_binary64_2190` `associate--r+_binary64_2060`
12×	`cube-unmult_binary64_2161`
11×	`associate-+l-_binary64_2059`
10×	`associate-+r+_binary64_2056`
9×	`pow-base-1_binary64_2184`
8×	`exp-prod_binary64_2176` `rem-sqrt-square_binary64_2137` `distribute-neg-in_binary64_2085` `distribute-lft-neg-out_binary64_2083` `distribute-rgt-out_binary64_2077`
7×	`cube-mult_binary64_2154` `associate-+r-_binary64_2058`
5×	`distribute-rgt-out--_binary64_2078` `count-2_binary64_2072`
4×	`rec-exp_binary64_2174`
3×	`exp-lft-sqr_binary64_2179` `div-sub_binary64_2129` `distribute-lft-out_binary64_2075` `associate--l-_binary64_2062`
1×	`log-rec_binary64_2212` `1-exp_binary64_2168` `rem-log-exp_binary64_2165` `rem-cbrt-cube_binary64_2148` `rem-cube-cbrt_binary64_2147` `rem-square-sqrt_binary64_2136` `*-lft-identity_binary64_2113` `difference-of-squares_binary64_2093` `distribute-rgt-neg-out_binary64_2084` `distribute-lft-out--_binary64_2076` `associate--l+_binary64_2061`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_2387` `erf-erfc_binary64_2386` `erf-odd_binary64_2385` `if-if-and-not_binary64_2384` `if-if-and_binary64_2383` `if-if-or-not_binary64_2382` `if-if-or_binary64_2381` `if-not_binary64_2380` `if-same_binary64_2379` `if-false_binary64_2378` `if-true_binary64_2377` `not-gte_binary64_2376` `not-lte_binary64_2375` `not-gt_binary64_2374` `not-lt_binary64_2373` `gte-same_binary64_2372` `lte-same_binary64_2371` `gt-same_binary64_2370` `lt-same_binary64_2369` `sinh---cosh_binary64_2316` `sinh-+-cosh_binary64_2315` `sinh-cosh_binary64_2314` `tanh-def-c_binary64_2313` `tanh-def-b_binary64_2312` `tanh-def-a_binary64_2311` `cosh-def_binary64_2310` `sinh-def_binary64_2309` `tan-neg_binary64_2256` `cos-neg_binary64_2255` `sin-neg_binary64_2254` `tan-0_binary64_2253` `cos-0_binary64_2252` `sin-0_binary64_2251` `hang-m-tan_binary64_2250` `hang-p-tan_binary64_2249` `hang-m0-tan_binary64_2248` `hang-p0-tan_binary64_2247` `hang-0m-tan_binary64_2246` `hang-0p-tan_binary64_2245` `tan-+PI/2_binary64_2244` `tan-+PI_binary64_2243` `tan-PI_binary64_2242` `tan-PI/3_binary64_2241` `tan-PI/4_binary64_2240` `tan-PI/6_binary64_2239` `cos-+PI/2_binary64_2238` `cos-+PI_binary64_2237` `cos-PI_binary64_2236` `cos-PI/2_binary64_2235` `cos-PI/3_binary64_2234` `cos-PI/4_binary64_2233` `cos-PI/6_binary64_2232` `sin-+PI/2_binary64_2231` `sin-+PI_binary64_2230` `sin-PI_binary64_2229` `sin-PI/2_binary64_2228` `sin-PI/3_binary64_2227` `sin-PI/4_binary64_2226` `sin-PI/6_binary64_2225` `sub-1-sin_binary64_2224` `sub-1-cos_binary64_2223` `-1-add-sin_binary64_2222` `-1-add-cos_binary64_2221` `1-sub-sin_binary64_2220` `1-sub-cos_binary64_2219` `cos-sin-sum_binary64_2218` `log-E_binary64_2214` `pow-base-0_binary64_2208` `unpow1/3_binary64_2191` `unpow2_binary64_2189` `unpow1/2_binary64_2188` `exp-to-pow_binary64_2186` `unpow0_binary64_2183` `unpow1_binary64_2182` `unpow-1_binary64_2181` `exp-lft-cube_binary64_2180` `exp-cbrt_binary64_2178` `exp-sqrt_binary64_2177` `exp-diff_binary64_2172` `exp-neg_binary64_2171` `exp-sum_binary64_2170` `e-exp-1_binary64_2169` `exp-1-e_binary64_2167` `exp-0_binary64_2166` `rem-exp-log_binary64_2164` `cube-neg_binary64_2151` `rem-3cbrt-rft_binary64_2150` `rem-3cbrt-lft_binary64_2149` `sqr-abs_binary64_2139` `sqr-neg_binary64_2138` `unsub-neg_binary64_2118` `mul-1-neg_binary64_2116` `remove-double-neg_binary64_2112` `sub0-neg_binary64_2111` `--rgt-identity_binary64_2110` `+-rgt-identity_binary64_2109` `+-lft-identity_binary64_2108` `mul0-rgt_binary64_2107` `mul0-lft_binary64_2106` `div0_binary64_2105` `*-inverses_binary64_2104` `+-inverses_binary64_2103` `lft-mult-inverse_binary64_2102` `rgt-mult-inverse_binary64_2101` `remove-double-div_binary64_2100` `difference-of-sqr--1_binary64_2095` `difference-of-sqr-1_binary64_2094` `cancel-sign-sub_binary64_2089` `distribute-frac-neg_binary64_2087` `distribute-neg-out_binary64_2086` `distribute-rgt1-in_binary64_2080` `distribute-lft1-in_binary64_2079` `associate--r-_binary64_2063`

Counts

187 → 175

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	255	2801
1	461	2711
2	1524	2711
3	4966	2711

prune186.0ms (1.5%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	172	3	175
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	172	7	179

Error

0.0b

Counts

179 → 7

Compiler

Compiled 4681 to 3712 computations (20.7% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 2 (pow.f64 x 7))
0.1b	(/.f64 2 (pow.f64 x 5))
0.1b	(.f64 (/.f64 1 (.f64 x x)) (/.f64 2 x))
0.6b	(/.f64 1 (*.f64 x x))

rewrite932.0ms (7.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

70×	`add-exp-log_binary64_2162`
64×	`times-frac_binary64_2130`
60×	`add-sqr-sqrt_binary64_2146`
49×	`*-un-lft-identity_binary64_2124`
47×	`add-cube-cbrt_binary64_2159`
34×	`add-cbrt-cube_binary64_2160`
25×	`div-exp_binary64_2175`
24×	`unpow-prod-down_binary64_2203`
23×	`prod-exp_binary64_2173`
15×	`associate-/r*_binary64_2068`
14×	`pow1_binary64_2185`
13×	`associate-r_binary64_2064`
11×	`cbrt-undiv_binary64_2158`
9×	`cbrt-unprod_binary64_2157` `associate-/l*_binary64_2069`
8×	`sqr-pow_binary64_2096`
7×	`associate-l_binary64_2065`
6×	`pow-flip_binary64_2198` `1-exp_binary64_2168` `rec-exp_binary64_2174` `unswap-sqr_binary64_2092`
5×	`div-inv_binary64_2121`
4×	`add-log-exp_binary64_2163`
3×	`frac-2neg_binary64_2135` `clear-num_binary64_2123`
2×	`pow-prod-down_binary64_2195` `pow-to-exp_binary64_2193` `pow-exp_binary64_2192`
1×	`inv-pow_binary64_2209` `pow2_binary64_2205` `pow-prod-up_binary64_2194` `pow-plus_binary64_2187` `pow-sqr_binary64_2097` `frac-times_binary64_2134` `associate-l/_binary64_2067` `associate-r/_binary64_2066` `*-commutative_binary64_2055`

Counts

4 → 180

Calls

4 calls:

11.0ms	(.f64 (/.f64 1 (.f64 x x)) (/.f64 2 x))
5.0ms	(/.f64 2 (pow.f64 x 7))
4.0ms	(/.f64 1 (*.f64 x x))
4.0ms	(/.f64 2 (pow.f64 x 5))

Compiler

Compiled 5077 to 3697 computations (27.2% saved)

series84.0ms (0.7%)

Error

0.0b

Counts

4 → 12

Calls

4 calls:

28.0ms	(/.f64 2 (pow.f64 x 5))
22.0ms	(/.f64 2 (pow.f64 x 7))
17.0ms	(.f64 (/.f64 1 (.f64 x x)) (/.f64 2 x))
10.0ms	(/.f64 1 (*.f64 x x))

Compiler

Compiled 720 to 587 computations (18.5% saved)

simplify2.1s (16.6%)

Algorithm

1×	egg-herbie

Rules

486×	`associate-/r/_binary64_2070`
391×	`distribute-rgt-out_binary64_2077`
334×	`cancel-sign-sub-inv_binary64_2090`
245×	`*-commutative_binary64_2055`
188×	`distribute-rgt-out--_binary64_2078`
185×	`associate-/l*_binary64_2069`
174×	`sqr-pow_binary64_2096`
169×	`times-frac_binary64_2130`
163×	`div-sub_binary64_2129`
146×	`associate-/r*_binary64_2068`
144×	`log-prod_binary64_2210` `associate-*l/_binary64_2067`
122×	`associate-*r/_binary64_2066`
119×	`associate-/l/_binary64_2071`
103×	`cube-prod_binary64_2152`
102×	`associate-l_binary64_2065`
92×	`pow-sqr_binary64_2097`
88×	`associate-r_binary64_2064`
86×	`log-div_binary64_2211`
84×	`exp-prod_binary64_2176`
82×	`distribute-rgt-neg-in_binary64_2082` `distribute-rgt-in_binary64_2074`
79×	`sub-neg_binary64_2117`
78×	`unswap-sqr_binary64_2092`
74×	`distribute-lft-neg-in_binary64_2081`
65×	`cube-div_binary64_2153`
61×	`swap-sqr_binary64_2091`
57×	`distribute-lft-in_binary64_2073`
56×	`unsub-neg_binary64_2118`
50×	`*-rgt-identity_binary64_2114`
47×	`log-pow_binary64_2213`
46×	`pow-plus_binary64_2187` `neg-mul-1_binary64_2120`
41×	`*-lft-identity_binary64_2113`
39×	`/-rgt-identity_binary64_2115`
33×	`associate-+l-_binary64_2059`
30×	`neg-sub0_binary64_2119`
22×	`distribute-rgt1-in_binary64_2080`
21×	`log-rec_binary64_2212` `associate--l-_binary64_2062` `associate--r+_binary64_2060` `associate-+r+_binary64_2056`
20×	`cube-unmult_binary64_2161` `distribute-neg-in_binary64_2085`
19×	`distribute-neg-out_binary64_2086`
18×	`sub0-neg_binary64_2111`
16×	`unpow3_binary64_2190` `exp-lft-sqr_binary64_2179` `cube-mult_binary64_2154` `distribute-neg-frac_binary64_2088` `associate-+l+_binary64_2057`
14×	`distribute-lft-neg-out_binary64_2083` `+-commutative_binary64_2054`
13×	`pow-base-1_binary64_2184`
11×	`distribute-lft1-in_binary64_2079` `associate-+r-_binary64_2058`
9×	`associate--r-_binary64_2063` `associate--l+_binary64_2061`
8×	`distribute-rgt-neg-out_binary64_2084`
7×	`exp-sum_binary64_2170`
6×	`exp-to-pow_binary64_2186` `mul0-lft_binary64_2106` `count-2_binary64_2072`
5×	`rem-sqrt-square_binary64_2137` `+-lft-identity_binary64_2108` `mul0-rgt_binary64_2107`
3×	`exp-diff_binary64_2172` `sqr-neg_binary64_2138` `remove-double-neg_binary64_2112` `+-rgt-identity_binary64_2109`
2×	`exp-sqrt_binary64_2177` `+-inverses_binary64_2103` `remove-double-div_binary64_2100` `cancel-sign-sub_binary64_2089`
1×	`unpow2_binary64_2189` `unpow1_binary64_2182` `div-exp_binary64_2175` `rec-exp_binary64_2174` `prod-exp_binary64_2173` `1-exp_binary64_2168` `exp-1-e_binary64_2167` `rem-log-exp_binary64_2165` `rem-cbrt-cube_binary64_2148` `div0_binary64_2105` `*-inverses_binary64_2104` `distribute-frac-neg_binary64_2087` `distribute-lft-out_binary64_2075`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_2387` `erf-erfc_binary64_2386` `erf-odd_binary64_2385` `if-if-and-not_binary64_2384` `if-if-and_binary64_2383` `if-if-or-not_binary64_2382` `if-if-or_binary64_2381` `if-not_binary64_2380` `if-same_binary64_2379` `if-false_binary64_2378` `if-true_binary64_2377` `not-gte_binary64_2376` `not-lte_binary64_2375` `not-gt_binary64_2374` `not-lt_binary64_2373` `gte-same_binary64_2372` `lte-same_binary64_2371` `gt-same_binary64_2370` `lt-same_binary64_2369` `sinh---cosh_binary64_2316` `sinh-+-cosh_binary64_2315` `sinh-cosh_binary64_2314` `tanh-def-c_binary64_2313` `tanh-def-b_binary64_2312` `tanh-def-a_binary64_2311` `cosh-def_binary64_2310` `sinh-def_binary64_2309` `tan-neg_binary64_2256` `cos-neg_binary64_2255` `sin-neg_binary64_2254` `tan-0_binary64_2253` `cos-0_binary64_2252` `sin-0_binary64_2251` `hang-m-tan_binary64_2250` `hang-p-tan_binary64_2249` `hang-m0-tan_binary64_2248` `hang-p0-tan_binary64_2247` `hang-0m-tan_binary64_2246` `hang-0p-tan_binary64_2245` `tan-+PI/2_binary64_2244` `tan-+PI_binary64_2243` `tan-PI_binary64_2242` `tan-PI/3_binary64_2241` `tan-PI/4_binary64_2240` `tan-PI/6_binary64_2239` `cos-+PI/2_binary64_2238` `cos-+PI_binary64_2237` `cos-PI_binary64_2236` `cos-PI/2_binary64_2235` `cos-PI/3_binary64_2234` `cos-PI/4_binary64_2233` `cos-PI/6_binary64_2232` `sin-+PI/2_binary64_2231` `sin-+PI_binary64_2230` `sin-PI_binary64_2229` `sin-PI/2_binary64_2228` `sin-PI/3_binary64_2227` `sin-PI/4_binary64_2226` `sin-PI/6_binary64_2225` `sub-1-sin_binary64_2224` `sub-1-cos_binary64_2223` `-1-add-sin_binary64_2222` `-1-add-cos_binary64_2221` `1-sub-sin_binary64_2220` `1-sub-cos_binary64_2219` `cos-sin-sum_binary64_2218` `log-E_binary64_2214` `pow-base-0_binary64_2208` `unpow1/3_binary64_2191` `unpow1/2_binary64_2188` `unpow0_binary64_2183` `unpow-1_binary64_2181` `exp-lft-cube_binary64_2180` `exp-cbrt_binary64_2178` `exp-neg_binary64_2171` `e-exp-1_binary64_2169` `exp-0_binary64_2166` `rem-exp-log_binary64_2164` `cube-neg_binary64_2151` `rem-3cbrt-rft_binary64_2150` `rem-3cbrt-lft_binary64_2149` `rem-cube-cbrt_binary64_2147` `sqr-abs_binary64_2139` `rem-square-sqrt_binary64_2136` `mul-1-neg_binary64_2116` `--rgt-identity_binary64_2110` `lft-mult-inverse_binary64_2102` `rgt-mult-inverse_binary64_2101` `difference-of-sqr--1_binary64_2095` `difference-of-sqr-1_binary64_2094` `difference-of-squares_binary64_2093` `distribute-lft-out--_binary64_2076`

Counts

192 → 231

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	268	2768
1	545	2399
2	2047	2343
3	3146	2343

prune277.0ms (2.2%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	229	2	231
Fresh	1	3	4
Picked	1	0	1
Done	0	2	2
Total	231	7	238

Error

0.0b

Counts

238 → 7

Compiler

Compiled 6250 to 4666 computations (25.3% saved)

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 7)))
0.0b	(/.f64 2 (pow.f64 x 7))
0.1b	(/.f64 2 (pow.f64 x 5))
0.1b	(/.f64 (/.f64 2 x) (*.f64 x x))

rewrite230.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

79×	`times-frac_binary64_2130`
60×	`*-un-lft-identity_binary64_2124`
52×	`add-cube-cbrt_binary64_2159` `add-sqr-sqrt_binary64_2146`
26×	`add-exp-log_binary64_2162`
24×	`unpow-prod-down_binary64_2203`
20×	`add-cbrt-cube_binary64_2160`
19×	`associate-/l*_binary64_2069`
15×	`associate-/r*_binary64_2068`
12×	`div-exp_binary64_2175`
8×	`cbrt-undiv_binary64_2158` `sqr-pow_binary64_2096`
7×	`div-inv_binary64_2121`
6×	`add-log-exp_binary64_2163`
5×	`distribute-lft-out_binary64_2075`
4×	`pow1_binary64_2185`
3×	`frac-2neg_binary64_2135` `clear-num_binary64_2123`
2×	`prod-exp_binary64_2173` `cbrt-unprod_binary64_2157` `pow-to-exp_binary64_2193` `pow-exp_binary64_2192`
1×	`associate-/l/_binary64_2071` `sum-log_binary64_2215` `frac-add_binary64_2132` `flip3-+_binary64_2127` `flip-+_binary64_2098` `+-commutative_binary64_2054`

Counts

4 → 153

Calls

4 calls:

38.0ms	(+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 7)))
6.0ms	(/.f64 (/.f64 2 x) (*.f64 x x))
4.0ms	(/.f64 2 (pow.f64 x 7))
4.0ms	(/.f64 2 (pow.f64 x 5))

Compiler

Compiled 4143 to 2974 computations (28.2% saved)

series151.0ms (1.2%)

Error

0.0b

Counts

4 → 15

Calls

4 calls:

75.0ms	(+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 7)))
36.0ms	(/.f64 2 (pow.f64 x 5))
18.0ms	(/.f64 2 (pow.f64 x 7))
14.0ms	(/.f64 (/.f64 2 x) (*.f64 x x))

Compiler

Compiled 780 to 611 computations (21.7% saved)

simplify236.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

431×	`associate-l_binary64_2065`
411×	`associate-*l/_binary64_2067`
343×	`cancel-sign-sub-inv_binary64_2090`
324×	`associate-/r/_binary64_2070`
298×	`associate-r_binary64_2064`
280×	`associate-*r/_binary64_2066`
185×	`*-commutative_binary64_2055`
162×	`sqr-pow_binary64_2096`
147×	`associate-/l/_binary64_2071`
129×	`associate-/l*_binary64_2069`
120×	`associate-/r*_binary64_2068`
112×	`log-prod_binary64_2210`
108×	`pow-sqr_binary64_2097`
97×	`times-frac_binary64_2130`
94×	`cube-prod_binary64_2152`
83×	`sub-neg_binary64_2117`
68×	`*-rgt-identity_binary64_2114`
61×	`log-div_binary64_2211`
59×	`cube-div_binary64_2153`
52×	`unswap-sqr_binary64_2092`
51×	`swap-sqr_binary64_2091`
49×	`neg-mul-1_binary64_2120`
47×	`neg-sub0_binary64_2119`
46×	`exp-prod_binary64_2176` `distribute-rgt-in_binary64_2074`
43×	`div-sub_binary64_2129`
41×	`log-pow_binary64_2213` `pow-plus_binary64_2187`
38×	`distribute-rgt-neg-in_binary64_2082`
37×	`*-lft-identity_binary64_2113`
35×	`distribute-lft-in_binary64_2073`
32×	`distribute-lft-neg-in_binary64_2081`
29×	`distribute-neg-frac_binary64_2088`
28×	`+-commutative_binary64_2054`
26×	`/-rgt-identity_binary64_2115`
25×	`cube-unmult_binary64_2161`
21×	`unpow3_binary64_2190` `unsub-neg_binary64_2118`
19×	`associate-+l-_binary64_2059`
15×	`cube-mult_binary64_2154`
13×	`prod-exp_binary64_2173` `associate-+r-_binary64_2058`
12×	`associate-+l+_binary64_2057`
11×	`sub0-neg_binary64_2111` `distribute-rgt-out_binary64_2077`
10×	`associate-+r+_binary64_2056`
9×	`pow-base-1_binary64_2184` `div-exp_binary64_2175`
7×	`log-rec_binary64_2212` `distribute-lft-neg-out_binary64_2083` `associate--r+_binary64_2060`
6×	`distribute-rgt-out--_binary64_2078` `associate--l-_binary64_2062` `associate--l+_binary64_2061`
5×	`exp-lft-sqr_binary64_2179` `+-rgt-identity_binary64_2109`
4×	`difference-of-squares_binary64_2093` `distribute-neg-in_binary64_2085`
3×	`rec-exp_binary64_2174` `div0_binary64_2105` `distribute-lft-out_binary64_2075` `count-2_binary64_2072`
2×	`exp-sum_binary64_2170` `rem-sqrt-square_binary64_2137` `remove-double-neg_binary64_2112`
1×	`exp-to-pow_binary64_2186` `1-exp_binary64_2168` `rem-log-exp_binary64_2165` `cancel-sign-sub_binary64_2089` `distribute-neg-out_binary64_2086` `distribute-rgt-neg-out_binary64_2084` `distribute-rgt1-in_binary64_2080` `distribute-lft1-in_binary64_2079` `distribute-lft-out--_binary64_2076`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_2387` `erf-erfc_binary64_2386` `erf-odd_binary64_2385` `if-if-and-not_binary64_2384` `if-if-and_binary64_2383` `if-if-or-not_binary64_2382` `if-if-or_binary64_2381` `if-not_binary64_2380` `if-same_binary64_2379` `if-false_binary64_2378` `if-true_binary64_2377` `not-gte_binary64_2376` `not-lte_binary64_2375` `not-gt_binary64_2374` `not-lt_binary64_2373` `gte-same_binary64_2372` `lte-same_binary64_2371` `gt-same_binary64_2370` `lt-same_binary64_2369` `sinh---cosh_binary64_2316` `sinh-+-cosh_binary64_2315` `sinh-cosh_binary64_2314` `tanh-def-c_binary64_2313` `tanh-def-b_binary64_2312` `tanh-def-a_binary64_2311` `cosh-def_binary64_2310` `sinh-def_binary64_2309` `tan-neg_binary64_2256` `cos-neg_binary64_2255` `sin-neg_binary64_2254` `tan-0_binary64_2253` `cos-0_binary64_2252` `sin-0_binary64_2251` `hang-m-tan_binary64_2250` `hang-p-tan_binary64_2249` `hang-m0-tan_binary64_2248` `hang-p0-tan_binary64_2247` `hang-0m-tan_binary64_2246` `hang-0p-tan_binary64_2245` `tan-+PI/2_binary64_2244` `tan-+PI_binary64_2243` `tan-PI_binary64_2242` `tan-PI/3_binary64_2241` `tan-PI/4_binary64_2240` `tan-PI/6_binary64_2239` `cos-+PI/2_binary64_2238` `cos-+PI_binary64_2237` `cos-PI_binary64_2236` `cos-PI/2_binary64_2235` `cos-PI/3_binary64_2234` `cos-PI/4_binary64_2233` `cos-PI/6_binary64_2232` `sin-+PI/2_binary64_2231` `sin-+PI_binary64_2230` `sin-PI_binary64_2229` `sin-PI/2_binary64_2228` `sin-PI/3_binary64_2227` `sin-PI/4_binary64_2226` `sin-PI/6_binary64_2225` `sub-1-sin_binary64_2224` `sub-1-cos_binary64_2223` `-1-add-sin_binary64_2222` `-1-add-cos_binary64_2221` `1-sub-sin_binary64_2220` `1-sub-cos_binary64_2219` `cos-sin-sum_binary64_2218` `log-E_binary64_2214` `pow-base-0_binary64_2208` `unpow1/3_binary64_2191` `unpow2_binary64_2189` `unpow1/2_binary64_2188` `unpow0_binary64_2183` `unpow1_binary64_2182` `unpow-1_binary64_2181` `exp-lft-cube_binary64_2180` `exp-cbrt_binary64_2178` `exp-sqrt_binary64_2177` `exp-diff_binary64_2172` `exp-neg_binary64_2171` `e-exp-1_binary64_2169` `exp-1-e_binary64_2167` `exp-0_binary64_2166` `rem-exp-log_binary64_2164` `cube-neg_binary64_2151` `rem-3cbrt-rft_binary64_2150` `rem-3cbrt-lft_binary64_2149` `rem-cbrt-cube_binary64_2148` `rem-cube-cbrt_binary64_2147` `sqr-abs_binary64_2139` `sqr-neg_binary64_2138` `rem-square-sqrt_binary64_2136` `mul-1-neg_binary64_2116` `--rgt-identity_binary64_2110` `+-lft-identity_binary64_2108` `mul0-rgt_binary64_2107` `mul0-lft_binary64_2106` `*-inverses_binary64_2104` `+-inverses_binary64_2103` `lft-mult-inverse_binary64_2102` `rgt-mult-inverse_binary64_2101` `remove-double-div_binary64_2100` `difference-of-sqr--1_binary64_2095` `difference-of-sqr-1_binary64_2094` `distribute-frac-neg_binary64_2087` `associate--r-_binary64_2063`

Counts

168 → 169

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	263	2603
1	542	2453
2	1550	2453
3	3948	2453

prune145.0ms (1.2%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	169	0	169
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	169	7	176

Error

0.0b

Counts

176 → 7

Compiler

Compiled 4518 to 3286 computations (27.3% saved)

regimes442.0ms (3.5%)

Accuracy

Total 0.3b remaining (99.1%)

Threshold costs 0.3b (99.1%)

Compiler

Compiled 5564 to 4652 computations (16.4% saved)

bsearch7.0ms (0.1%)

Compiler: Compiled 15 to 13 computations (13.3% saved)

simplify34.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

19×	`+-commutative_binary64_2054`
16×	`neg-mul-1_binary64_2120` `neg-sub0_binary64_2119`
13×	`*-commutative_binary64_2055`
10×	`sub-neg_binary64_2117`
9×	`unsub-neg_binary64_2118`
7×	`distribute-rgt-neg-in_binary64_2082`
6×	`*-rgt-identity_binary64_2114` `distribute-rgt-neg-out_binary64_2084` `distribute-lft-neg-out_binary64_2083` `distribute-lft-neg-in_binary64_2081`
5×	`*-lft-identity_binary64_2113`
3×	`cancel-sign-sub-inv_binary64_2090`
1×	`1-exp_binary64_2168` `distribute-neg-frac_binary64_2088` `distribute-neg-in_binary64_2085`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `if-if-and-not_binary64_2384` `if-if-and_binary64_2383` `if-if-or-not_binary64_2382` `if-if-or_binary64_2381` `if-not_binary64_2380` `if-same_binary64_2379` `if-false_binary64_2378` `if-true_binary64_2377` `tan-0_binary64_2253` `cos-0_binary64_2252` `sin-0_binary64_2251` `unpow1_binary64_2182` `e-exp-1_binary64_2169` `exp-1-e_binary64_2167` `exp-0_binary64_2166` `sqr-abs_binary64_2139` `sqr-neg_binary64_2138` `mul-1-neg_binary64_2116` `/-rgt-identity_binary64_2115` `remove-double-neg_binary64_2112` `sub0-neg_binary64_2111` `--rgt-identity_binary64_2110` `+-rgt-identity_binary64_2109` `+-lft-identity_binary64_2108` `cancel-sign-sub_binary64_2089` `distribute-frac-neg_binary64_2087` `distribute-neg-out_binary64_2086`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	159
1	74	159
2	92	159
3	98	159
4	126	159
5	125	159
6	126	159

Proof

(if real (<= f64 (+ f64 (- f64 (/ f64 1 (+ f64 h0 1)) (/ f64 2 h0)) (/ f64 1 (- f64 h0 1))) -329125385/9223372036854775808) (/ f64 (+ f64 (* f64 (- f64 h0 1) (- f64 h0 (* f64 2 (+ f64 h0 1)))) (* f64 h0 (+ f64 h0 1))) (* f64 (* f64 (+ f64 h0 1) h0) (- f64 h0 1))) (if real (<= f64 (+ f64 (- f64 (/ f64 1 (+ f64 h0 1)) (/ f64 2 h0)) (/ f64 1 (=> (- f64 h0 1)))) 35/37778931862957161709568) (+ f64 (/ f64 2 (pow f64 h0 3)) (+ f64 (/ f64 2 (pow f64 h0 5)) (/ f64 2 (pow f64 h0 7)))) (/ f64 (+ f64 (+ f64 h0 (* f64 h0 h0)) (* f64 (+ f64 h0 -1) (+ f64 h0 (* f64 2 (- f64 -1 h0))))) (* f64 (* f64 (+ f64 h0 1) h0) (- f64 h0 1)))))
sub-neg_binary64_2117 =>
(if real (<= f64 (+ f64 (- f64 (/ f64 1 (+ f64 h0 1)) (/ f64 2 h0)) (/ f64 1 (- f64 h0 1))) -329125385/9223372036854775808) (/ f64 (+ f64 (* f64 (=> (- f64 h0 1)) (- f64 h0 (* f64 2 (+ f64 h0 1)))) (* f64 h0 (+ f64 h0 1))) (* f64 (* f64 (+ f64 h0 1) h0) (- f64 h0 1))) (if real (<= f64 (+ f64 (- f64 (/ f64 1 (+ f64 h0 1)) (/ f64 2 h0)) (/ f64 1 (+ f64 h0 (neg f64 1)))) 35/37778931862957161709568) (+ f64 (/ f64 2 (pow f64 h0 3)) (+ f64 (/ f64 2 (pow f64 h0 5)) (/ f64 2 (pow f64 h0 7)))) (/ f64 (+ f64 (+ f64 h0 (* f64 h0 h0)) (* f64 (+ f64 h0 -1) (+ f64 h0 (* f64 2 (- f64 -1 h0))))) (* f64 (* f64 (+ f64 h0 1) h0) (- f64 h0 1)))))
sub-neg_binary64_2117 =>
(if real (<= f64 (+ f64 (- f64 (/ f64 1 (+ f64 h0 1)) (/ f64 2 h0)) (/ f64 1 (=> (- f64 h0 1)))) -329125385/9223372036854775808) (/ f64 (+ f64 (* f64 (+ f64 h0 (neg f64 1)) (- f64 h0 (* f64 2 (+ f64 h0 1)))) (* f64 h0 (+ f64 h0 1))) (* f64 (* f64 (+ f64 h0 1) h0) (- f64 h0 1))) (if real (<= f64 (+ f64 (- f64 (/ f64 1 (+ f64 h0 1)) (/ f64 2 h0)) (/ f64 1 (+ f64 h0 (neg f64 1)))) 35/37778931862957161709568) (+ f64 (/ f64 2 (pow f64 h0 3)) (+ f64 (/ f64 2 (pow f64 h0 5)) (/ f64 2 (pow f64 h0 7)))) (/ f64 (+ f64 (+ f64 h0 (* f64 h0 h0)) (* f64 (+ f64 h0 -1) (+ f64 h0 (* f64 2 (- f64 -1 h0))))) (* f64 (* f64 (+ f64 h0 1) h0) (- f64 h0 1)))))
sub-neg_binary64_2117 =>
(if real (<= f64 (+ f64 (- f64 (/ f64 1 (+ f64 h0 1)) (/ f64 2 h0)) (/ f64 1 (+ f64 h0 (neg f64 1)))) -329125385/9223372036854775808) (/ f64 (+ f64 (* f64 (+ f64 h0 (neg f64 1)) (- f64 h0 (* f64 2 (+ f64 h0 1)))) (* f64 h0 (+ f64 h0 1))) (* f64 (* f64 (+ f64 h0 1) h0) (- f64 h0 1))) (if real (<= f64 (+ f64 (- f64 (/ f64 1 (+ f64 h0 1)) (/ f64 2 h0)) (/ f64 1 (+ f64 h0 (neg f64 1)))) 35/37778931862957161709568) (+ f64 (/ f64 2 (pow f64 h0 3)) (+ f64 (/ f64 2 (pow f64 h0 5)) (/ f64 2 (pow f64 h0 7)))) (/ f64 (+ f64 (+ f64 h0 (* f64 h0 h0)) (* f64 (+ f64 h0 -1) (+ f64 h0 (* f64 2 (- f64 -1 h0))))) (=> (* f64 (* f64 (+ f64 h0 1) h0) (- f64 h0 1))))))
*-commutative_binary64_2055 =>
(if real (<= f64 (+ f64 (- f64 (/ f64 1 (+ f64 h0 1)) (/ f64 2 h0)) (/ f64 1 (+ f64 h0 (neg f64 1)))) -329125385/9223372036854775808) (/ f64 (+ f64 (* f64 (+ f64 h0 (neg f64 1)) (- f64 h0 (* f64 2 (+ f64 h0 1)))) (* f64 h0 (+ f64 h0 1))) (* f64 (* f64 (+ f64 h0 1) h0) (- f64 h0 1))) (if real (<= f64 (+ f64 (- f64 (/ f64 1 (+ f64 h0 1)) (/ f64 2 h0)) (/ f64 1 (+ f64 h0 (neg f64 1)))) 35/37778931862957161709568) (+ f64 (/ f64 2 (pow f64 h0 3)) (+ f64 (/ f64 2 (pow f64 h0 5)) (/ f64 2 (pow f64 h0 7)))) (/ f64 (+ f64 (+ f64 h0 (* f64 h0 h0)) (* f64 (+ f64 h0 -1) (+ f64 h0 (* f64 2 (- f64 -1 h0))))) (* f64 (- f64 h0 1) (=> (* f64 (+ f64 h0 1) h0))))))
*-commutative_binary64_2055 =>
(if real (<= f64 (+ f64 (- f64 (/ f64 1 (+ f64 h0 1)) (/ f64 2 h0)) (/ f64 1 (+ f64 h0 (neg f64 1)))) -329125385/9223372036854775808) (/ f64 (+ f64 (* f64 (+ f64 h0 (neg f64 1)) (- f64 h0 (* f64 2 (+ f64 h0 1)))) (* f64 h0 (+ f64 h0 1))) (* f64 (* f64 (+ f64 h0 1) h0) (- f64 h0 1))) (if real (<= f64 (+ f64 (- f64 (/ f64 1 (+ f64 h0 1)) (/ f64 2 h0)) (/ f64 1 (+ f64 h0 (neg f64 1)))) 35/37778931862957161709568) (+ f64 (/ f64 2 (pow f64 h0 3)) (+ f64 (/ f64 2 (pow f64 h0 5)) (/ f64 2 (pow f64 h0 7)))) (/ f64 (+ f64 (+ f64 h0 (* f64 h0 h0)) (* f64 (+ f64 h0 -1) (+ f64 h0 (* f64 2 (- f64 -1 h0))))) (* f64 (=> (- f64 h0 1)) (* f64 h0 (+ f64 h0 1))))))
sub-neg_binary64_2117 =>
(if real (<= f64 (+ f64 (- f64 (/ f64 1 (+ f64 h0 1)) (/ f64 2 h0)) (/ f64 1 (+ f64 h0 (neg f64 1)))) -329125385/9223372036854775808) (/ f64 (+ f64 (* f64 (+ f64 h0 (neg f64 1)) (- f64 h0 (* f64 2 (+ f64 h0 1)))) (* f64 h0 (+ f64 h0 1))) (=> (* f64 (* f64 (+ f64 h0 1) h0) (- f64 h0 1)))) (if real (<= f64 (+ f64 (- f64 (/ f64 1 (+ f64 h0 1)) (/ f64 2 h0)) (/ f64 1 (+ f64 h0 (neg f64 1)))) 35/37778931862957161709568) (+ f64 (/ f64 2 (pow f64 h0 3)) (+ f64 (/ f64 2 (pow f64 h0 5)) (/ f64 2 (pow f64 h0 7)))) (/ f64 (+ f64 (+ f64 h0 (* f64 h0 h0)) (* f64 (+ f64 h0 -1) (+ f64 h0 (* f64 2 (- f64 -1 h0))))) (* f64 (+ f64 h0 (neg f64 1)) (* f64 h0 (+ f64 h0 1))))))
*-commutative_binary64_2055 =>
(if real (<= f64 (+ f64 (- f64 (/ f64 1 (+ f64 h0 1)) (/ f64 2 h0)) (/ f64 1 (+ f64 h0 (neg f64 1)))) -329125385/9223372036854775808) (/ f64 (+ f64 (* f64 (+ f64 h0 (neg f64 1)) (- f64 h0 (* f64 2 (+ f64 h0 1)))) (* f64 h0 (+ f64 h0 1))) (* f64 (- f64 h0 1) (=> (* f64 (+ f64 h0 1) h0)))) (if real (<= f64 (+ f64 (- f64 (/ f64 1 (+ f64 h0 1)) (/ f64 2 h0)) (/ f64 1 (+ f64 h0 (neg f64 1)))) 35/37778931862957161709568) (+ f64 (/ f64 2 (pow f64 h0 3)) (+ f64 (/ f64 2 (pow f64 h0 5)) (/ f64 2 (pow f64 h0 7)))) (/ f64 (+ f64 (+ f64 h0 (* f64 h0 h0)) (* f64 (+ f64 h0 -1) (+ f64 h0 (* f64 2 (- f64 -1 h0))))) (* f64 (+ f64 h0 (neg f64 1)) (* f64 h0 (+ f64 h0 1))))))
*-commutative_binary64_2055 =>
(if real (<= f64 (+ f64 (- f64 (/ f64 1 (+ f64 h0 1)) (/ f64 2 h0)) (/ f64 1 (+ f64 h0 (neg f64 1)))) -329125385/9223372036854775808) (/ f64 (+ f64 (* f64 (+ f64 h0 (neg f64 1)) (- f64 h0 (* f64 2 (+ f64 h0 1)))) (* f64 h0 (+ f64 h0 1))) (* f64 (=> (- f64 h0 1)) (* f64 h0 (+ f64 h0 1)))) (if real (<= f64 (+ f64 (- f64 (/ f64 1 (+ f64 h0 1)) (/ f64 2 h0)) (/ f64 1 (+ f64 h0 (neg f64 1)))) 35/37778931862957161709568) (+ f64 (/ f64 2 (pow f64 h0 3)) (+ f64 (/ f64 2 (pow f64 h0 5)) (/ f64 2 (pow f64 h0 7)))) (/ f64 (+ f64 (+ f64 h0 (* f64 h0 h0)) (* f64 (+ f64 h0 -1) (+ f64 h0 (* f64 2 (- f64 -1 h0))))) (* f64 (+ f64 h0 (neg f64 1)) (* f64 h0 (+ f64 h0 1))))))
sub-neg_binary64_2117 =>
(if real (<= f64 (+ f64 (- f64 (/ f64 1 (+ f64 h0 1)) (/ f64 2 h0)) (/ f64 1 (+ f64 h0 (neg f64 1)))) -329125385/9223372036854775808) (/ f64 (+ f64 (* f64 (+ f64 h0 (neg f64 1)) (- f64 h0 (=> (* f64 2 (+ f64 h0 1))))) (* f64 h0 (+ f64 h0 1))) (* f64 (+ f64 h0 (neg f64 1)) (* f64 h0 (+ f64 h0 1)))) (if real (<= f64 (+ f64 (- f64 (/ f64 1 (+ f64 h0 1)) (/ f64 2 h0)) (/ f64 1 (+ f64 h0 (neg f64 1)))) 35/37778931862957161709568) (+ f64 (/ f64 2 (pow f64 h0 3)) (+ f64 (/ f64 2 (pow f64 h0 5)) (/ f64 2 (pow f64 h0 7)))) (/ f64 (+ f64 (+ f64 h0 (* f64 h0 h0)) (* f64 (+ f64 h0 -1) (+ f64 h0 (* f64 2 (- f64 -1 h0))))) (* f64 (+ f64 h0 (neg f64 1)) (* f64 h0 (+ f64 h0 1))))))
*-commutative_binary64_2055 =>
(if real (<= f64 (+ f64 (- f64 (/ f64 1 (+ f64 h0 1)) (/ f64 2 h0)) (/ f64 1 (+ f64 h0 (neg f64 1)))) -329125385/9223372036854775808) (/ f64 (+ f64 (* f64 (+ f64 h0 (neg f64 1)) (- f64 h0 (* f64 (+ f64 h0 1) 2))) (* f64 h0 (+ f64 h0 1))) (* f64 (+ f64 h0 (neg f64 1)) (* f64 h0 (+ f64 h0 1)))) (if real (<= f64 (+ f64 (- f64 (/ f64 1 (+ f64 h0 1)) (/ f64 2 h0)) (/ f64 1 (+ f64 h0 (neg f64 1)))) 35/37778931862957161709568) (+ f64 (/ f64 2 (pow f64 h0 3)) (+ f64 (/ f64 2 (pow f64 h0 5)) (/ f64 2 (pow f64 h0 7)))) (/ f64 (+ f64 (+ f64 h0 (* f64 h0 h0)) (* f64 (+ f64 h0 -1) (+ f64 h0 (* f64 2 (- f64 -1 h0))))) (* f64 (+ f64 h0 (neg f64 1)) (* f64 h0 (=> (+ f64 h0 1)))))))
+-commutative_binary64_2054 =>
(if real (<= f64 (+ f64 (- f64 (/ f64 1 (+ f64 h0 1)) (/ f64 2 h0)) (/ f64 1 (+ f64 h0 (neg f64 1)))) -329125385/9223372036854775808) (/ f64 (+ f64 (* f64 (+ f64 h0 (neg f64 1)) (- f64 h0 (* f64 (+ f64 h0 1) 2))) (* f64 h0 (+ f64 h0 1))) (* f64 (+ f64 h0 (neg f64 1)) (* f64 h0 (+ f64 h0 1)))) (if real (<= f64 (+ f64 (- f64 (/ f64 1 (=> (+ f64 h0 1))) (/ f64 2 h0)) (/ f64 1 (+ f64 h0 (neg f64 1)))) 35/37778931862957161709568) (+ f64 (/ f64 2 (pow f64 h0 3)) (+ f64 (/ f64 2 (pow f64 h0 5)) (/ f64 2 (pow f64 h0 7)))) (/ f64 (+ f64 (+ f64 h0 (* f64 h0 h0)) (* f64 (+ f64 h0 -1) (+ f64 h0 (* f64 2 (- f64 -1 h0))))) (* f64 (+ f64 h0 (neg f64 1)) (* f64 h0 (+ f64 1 h0))))))
+-commutative_binary64_2054 =>
(if real (<= f64 (+ f64 (- f64 (/ f64 1 (+ f64 h0 1)) (/ f64 2 h0)) (/ f64 1 (+ f64 h0 (neg f64 1)))) -329125385/9223372036854775808) (/ f64 (+ f64 (* f64 (+ f64 h0 (neg f64 1)) (- f64 h0 (* f64 (+ f64 h0 1) 2))) (* f64 h0 (+ f64 h0 1))) (* f64 (+ f64 h0 (neg f64 1)) (* f64 h0 (=> (+ f64 h0 1))))) (if real (<= f64 (+ f64 (- f64 (/ f64 1 (+ f64 1 h0)) (/ f64 2 h0)) (/ f64 1 (+ f64 h0 (neg f64 1)))) 35/37778931862957161709568) (+ f64 (/ f64 2 (pow f64 h0 3)) (+ f64 (/ f64 2 (pow f64 h0 5)) (/ f64 2 (pow f64 h0 7)))) (/ f64 (+ f64 (+ f64 h0 (* f64 h0 h0)) (* f64 (+ f64 h0 -1) (+ f64 h0 (* f64 2 (- f64 -1 h0))))) (* f64 (+ f64 h0 (neg f64 1)) (* f64 h0 (+ f64 1 h0))))))
+-commutative_binary64_2054 =>
(if real (<= f64 (+ f64 (- f64 (/ f64 1 (+ f64 h0 1)) (/ f64 2 h0)) (/ f64 1 (+ f64 h0 (neg f64 1)))) -329125385/9223372036854775808) (/ f64 (+ f64 (* f64 (+ f64 h0 (neg f64 1)) (- f64 h0 (* f64 (+ f64 h0 1) 2))) (* f64 h0 (=> (+ f64 h0 1)))) (* f64 (+ f64 h0 (neg f64 1)) (* f64 h0 (+ f64 1 h0)))) (if real (<= f64 (+ f64 (- f64 (/ f64 1 (+ f64 1 h0)) (/ f64 2 h0)) (/ f64 1 (+ f64 h0 (neg f64 1)))) 35/37778931862957161709568) (+ f64 (/ f64 2 (pow f64 h0 3)) (+ f64 (/ f64 2 (pow f64 h0 5)) (/ f64 2 (pow f64 h0 7)))) (/ f64 (+ f64 (+ f64 h0 (* f64 h0 h0)) (* f64 (+ f64 h0 -1) (+ f64 h0 (* f64 2 (- f64 -1 h0))))) (* f64 (+ f64 h0 (neg f64 1)) (* f64 h0 (+ f64 1 h0))))))
+-commutative_binary64_2054 =>
(if real (<= f64 (+ f64 (- f64 (/ f64 1 (+ f64 h0 1)) (/ f64 2 h0)) (/ f64 1 (+ f64 h0 (neg f64 1)))) -329125385/9223372036854775808) (/ f64 (+ f64 (* f64 (+ f64 h0 (neg f64 1)) (- f64 h0 (* f64 (=> (+ f64 h0 1)) 2))) (* f64 h0 (+ f64 1 h0))) (* f64 (+ f64 h0 (neg f64 1)) (* f64 h0 (+ f64 1 h0)))) (if real (<= f64 (+ f64 (- f64 (/ f64 1 (+ f64 1 h0)) (/ f64 2 h0)) (/ f64 1 (+ f64 h0 (neg f64 1)))) 35/37778931862957161709568) (+ f64 (/ f64 2 (pow f64 h0 3)) (+ f64 (/ f64 2 (pow f64 h0 5)) (/ f64 2 (pow f64 h0 7)))) (/ f64 (+ f64 (+ f64 h0 (* f64 h0 h0)) (* f64 (+ f64 h0 -1) (+ f64 h0 (* f64 2 (- f64 -1 h0))))) (* f64 (+ f64 h0 (neg f64 1)) (* f64 h0 (+ f64 1 h0))))))
+-commutative_binary64_2054 =>
(if real (<= f64 (+ f64 (- f64 (/ f64 1 (=> (+ f64 h0 1))) (/ f64 2 h0)) (/ f64 1 (+ f64 h0 (neg f64 1)))) -329125385/9223372036854775808) (/ f64 (+ f64 (* f64 (+ f64 h0 (neg f64 1)) (- f64 h0 (* f64 (+ f64 1 h0) 2))) (* f64 h0 (+ f64 1 h0))) (* f64 (+ f64 h0 (neg f64 1)) (* f64 h0 (+ f64 1 h0)))) (if real (<= f64 (+ f64 (- f64 (/ f64 1 (+ f64 1 h0)) (/ f64 2 h0)) (/ f64 1 (+ f64 h0 (neg f64 1)))) 35/37778931862957161709568) (+ f64 (/ f64 2 (pow f64 h0 3)) (+ f64 (/ f64 2 (pow f64 h0 5)) (/ f64 2 (pow f64 h0 7)))) (/ f64 (+ f64 (+ f64 h0 (* f64 h0 h0)) (* f64 (+ f64 h0 -1) (+ f64 h0 (* f64 2 (- f64 -1 h0))))) (* f64 (+ f64 h0 (neg f64 1)) (* f64 h0 (+ f64 1 h0))))))
+-commutative_binary64_2054 =>
(if real (<= f64 (+ f64 (- f64 (/ f64 1 (+ f64 1 h0)) (/ f64 2 h0)) (/ f64 1 (+ f64 h0 (neg f64 1)))) -329125385/9223372036854775808) (/ f64 (+ f64 (* f64 (+ f64 h0 (neg f64 1)) (- f64 h0 (* f64 (+ f64 1 h0) 2))) (* f64 h0 (+ f64 1 h0))) (* f64 (+ f64 h0 (neg f64 1)) (* f64 h0 (+ f64 1 h0)))) (if real (<= f64 (+ f64 (- f64 (/ f64 1 (+ f64 1 h0)) (/ f64 2 h0)) (/ f64 1 (+ f64 h0 (neg f64 1)))) 35/37778931862957161709568) (+ f64 (/ f64 2 (pow f64 h0 3)) (+ f64 (/ f64 2 (pow f64 h0 5)) (/ f64 2 (pow f64 h0 7)))) (/ f64 (=> (+ f64 (+ f64 h0 (* f64 h0 h0)) (* f64 (+ f64 h0 -1) (+ f64 h0 (* f64 2 (- f64 -1 h0)))))) (* f64 (+ f64 h0 (neg f64 1)) (* f64 h0 (+ f64 1 h0))))))
+-commutative_binary64_2054 =>
(if real (<= f64 (+ f64 (- f64 (/ f64 1 (+ f64 1 h0)) (/ f64 2 h0)) (/ f64 1 (+ f64 h0 (neg f64 1)))) -329125385/9223372036854775808) (/ f64 (+ f64 (* f64 (+ f64 h0 (neg f64 1)) (- f64 h0 (* f64 (+ f64 1 h0) 2))) (* f64 h0 (+ f64 1 h0))) (* f64 (+ f64 h0 (neg f64 1)) (* f64 h0 (+ f64 1 h0)))) (if real (<= f64 (+ f64 (- f64 (/ f64 1 (+ f64 1 h0)) (/ f64 2 h0)) (/ f64 1 (+ f64 h0 (neg f64 1)))) 35/37778931862957161709568) (+ f64 (/ f64 2 (pow f64 h0 3)) (+ f64 (/ f64 2 (pow f64 h0 5)) (/ f64 2 (pow f64 h0 7)))) (/ f64 (+ f64 (* f64 (+ f64 h0 -1) (+ f64 h0 (* f64 2 (=> (- f64 -1 h0))))) (+ f64 h0 (* f64 h0 h0))) (* f64 (+ f64 h0 (neg f64 1)) (* f64 h0 (+ f64 1 h0))))))
sub-neg_binary64_2117 =>
(if real (<= f64 (+ f64 (- f64 (/ f64 1 (+ f64 1 h0)) (/ f64 2 h0)) (/ f64 1 (+ f64 h0 (neg f64 1)))) -329125385/9223372036854775808) (/ f64 (+ f64 (* f64 (+ f64 h0 (neg f64 1)) (- f64 h0 (* f64 (+ f64 1 h0) 2))) (* f64 h0 (+ f64 1 h0))) (* f64 (+ f64 h0 (neg f64 1)) (* f64 h0 (+ f64 1 h0)))) (if real (<= f64 (+ f64 (- f64 (/ f64 1 (+ f64 1 h0)) (/ f64 2 h0)) (/ f64 1 (+ f64 h0 (neg f64 1)))) 35/37778931862957161709568) (+ f64 (/ f64 2 (pow f64 h0 3)) (+ f64 (/ f64 2 (pow f64 h0 5)) (/ f64 2 (pow f64 h0 7)))) (/ f64 (+ f64 (* f64 (+ f64 h0 -1) (+ f64 h0 (* f64 2 (+ f64 -1 (neg f64 h0))))) (+ f64 h0 (* f64 h0 h0))) (* f64 (+ f64 h0 (=> (neg f64 1))) (* f64 h0 (+ f64 1 h0))))))
neg-mul-1_binary64_2120 =>
(if real (<= f64 (+ f64 (- f64 (/ f64 1 (+ f64 1 h0)) (/ f64 2 h0)) (/ f64 1 (+ f64 h0 (neg f64 1)))) -329125385/9223372036854775808) (/ f64 (+ f64 (* f64 (+ f64 h0 (neg f64 1)) (- f64 h0 (* f64 (+ f64 1 h0) 2))) (* f64 h0 (+ f64 1 h0))) (* f64 (+ f64 h0 (neg f64 1)) (* f64 h0 (+ f64 1 h0)))) (if real (<= f64 (+ f64 (- f64 (/ f64 1 (+ f64 1 h0)) (/ f64 2 h0)) (/ f64 1 (+ f64 h0 (=> (neg f64 1))))) 35/37778931862957161709568) (+ f64 (/ f64 2 (pow f64 h0 3)) (+ f64 (/ f64 2 (pow f64 h0 5)) (/ f64 2 (pow f64 h0 7)))) (/ f64 (+ f64 (* f64 (+ f64 h0 -1) (+ f64 h0 (* f64 2 (+ f64 -1 (neg f64 h0))))) (+ f64 h0 (* f64 h0 h0))) (* f64 (+ f64 h0 (* f64 -1 1)) (* f64 h0 (+ f64 1 h0))))))
neg-mul-1_binary64_2120 =>
(if real (<= f64 (+ f64 (- f64 (/ f64 1 (+ f64 1 h0)) (/ f64 2 h0)) (/ f64 1 (+ f64 h0 (neg f64 1)))) -329125385/9223372036854775808) (/ f64 (+ f64 (* f64 (+ f64 h0 (neg f64 1)) (- f64 h0 (* f64 (+ f64 1 h0) 2))) (* f64 h0 (+ f64 1 h0))) (* f64 (+ f64 h0 (=> (neg f64 1))) (* f64 h0 (+ f64 1 h0)))) (if real (<= f64 (+ f64 (- f64 (/ f64 1 (+ f64 1 h0)) (/ f64 2 h0)) (/ f64 1 (+ f64 h0 (* f64 -1 1)))) 35/37778931862957161709568) (+ f64 (/ f64 2 (pow f64 h0 3)) (+ f64 (/ f64 2 (pow f64 h0 5)) (/ f64 2 (pow f64 h0 7)))) (/ f64 (+ f64 (* f64 (+ f64 h0 -1) (+ f64 h0 (* f64 2 (+ f64 -1 (neg f64 h0))))) (+ f64 h0 (* f64 h0 h0))) (* f64 (+ f64 h0 (* f64 -1 1)) (* f64 h0 (+ f64 1 h0))))))
neg-mul-1_binary64_2120 =>
(if real (<= f64 (+ f64 (- f64 (/ f64 1 (+ f64 1 h0)) (/ f64 2 h0)) (/ f64 1 (+ f64 h0 (neg f64 1)))) -329125385/9223372036854775808) (/ f64 (+ f64 (* f64 (+ f64 h0 (=> (neg f64 1))) (- f64 h0 (* f64 (+ f64 1 h0) 2))) (* f64 h0 (+ f64 1 h0))) (* f64 (+ f64 h0 (* f64 -1 1)) (* f64 h0 (+ f64 1 h0)))) (if real (<= f64 (+ f64 (- f64 (/ f64 1 (+ f64 1 h0)) (/ f64 2 h0)) (/ f64 1 (+ f64 h0 (* f64 -1 1)))) 35/37778931862957161709568) (+ f64 (/ f64 2 (pow f64 h0 3)) (+ f64 (/ f64 2 (pow f64 h0 5)) (/ f64 2 (pow f64 h0 7)))) (/ f64 (+ f64 (* f64 (+ f64 h0 -1) (+ f64 h0 (* f64 2 (+ f64 -1 (neg f64 h0))))) (+ f64 h0 (* f64 h0 h0))) (* f64 (+ f64 h0 (* f64 -1 1)) (* f64 h0 (+ f64 1 h0))))))
neg-mul-1_binary64_2120 =>
(if real (<= f64 (+ f64 (- f64 (/ f64 1 (+ f64 1 h0)) (/ f64 2 h0)) (/ f64 1 (+ f64 h0 (=> (neg f64 1))))) -329125385/9223372036854775808) (/ f64 (+ f64 (* f64 (+ f64 h0 (* f64 -1 1)) (- f64 h0 (* f64 (+ f64 1 h0) 2))) (* f64 h0 (+ f64 1 h0))) (* f64 (+ f64 h0 (* f64 -1 1)) (* f64 h0 (+ f64 1 h0)))) (if real (<= f64 (+ f64 (- f64 (/ f64 1 (+ f64 1 h0)) (/ f64 2 h0)) (/ f64 1 (+ f64 h0 (* f64 -1 1)))) 35/37778931862957161709568) (+ f64 (/ f64 2 (pow f64 h0 3)) (+ f64 (/ f64 2 (pow f64 h0 5)) (/ f64 2 (pow f64 h0 7)))) (/ f64 (+ f64 (* f64 (+ f64 h0 -1) (+ f64 h0 (* f64 2 (+ f64 -1 (neg f64 h0))))) (+ f64 h0 (* f64 h0 h0))) (* f64 (+ f64 h0 (* f64 -1 1)) (* f64 h0 (+ f64 1 h0))))))
neg-mul-1_binary64_2120 =>
(if real (<= f64 (+ f64 (- f64 (/ f64 1 (+ f64 1 h0)) (/ f64 2 h0)) (/ f64 1 (+ f64 h0 (* f64 -1 1)))) -329125385/9223372036854775808) (/ f64 (+ f64 (* f64 (+ f64 h0 (* f64 -1 1)) (- f64 h0 (* f64 (+ f64 1 h0) 2))) (* f64 h0 (+ f64 1 h0))) (* f64 (+ f64 h0 (* f64 -1 1)) (* f64 h0 (+ f64 1 h0)))) (if real (<= f64 (+ f64 (- f64 (/ f64 1 (+ f64 1 h0)) (/ f64 2 h0)) (/ f64 1 (+ f64 h0 (* f64 -1 1)))) 35/37778931862957161709568) (+ f64 (/ f64 2 (pow f64 h0 3)) (+ f64 (/ f64 2 (pow f64 h0 5)) (/ f64 2 (pow f64 h0 7)))) (/ f64 (+ f64 (* f64 (+ f64 h0 -1) (+ f64 h0 (* f64 2 (+ f64 -1 (neg f64 h0))))) (+ f64 h0 (* f64 h0 h0))) (* f64 (+ f64 h0 (=> (* f64 -1 1))) (* f64 h0 (+ f64 1 h0))))))
*-rgt-identity_binary64_2114 =>
(if real (<= f64 (+ f64 (- f64 (/ f64 1 (+ f64 1 h0)) (/ f64 2 h0)) (/ f64 1 (+ f64 h0 (* f64 -1 1)))) -329125385/9223372036854775808) (/ f64 (+ f64 (* f64 (+ f64 h0 (* f64 -1 1)) (- f64 h0 (* f64 (+ f64 1 h0) 2))) (* f64 h0 (+ f64 1 h0))) (* f64 (+ f64 h0 (* f64 -1 1)) (* f64 h0 (+ f64 1 h0)))) (if real (<= f64 (+ f64 (- f64 (/ f64 1 (+ f64 1 h0)) (/ f64 2 h0)) (/ f64 1 (+ f64 h0 (* f64 -1 1)))) 35/37778931862957161709568) (+ f64 (/ f64 2 (pow f64 h0 3)) (+ f64 (/ f64 2 (pow f64 h0 5)) (/ f64 2 (pow f64 h0 7)))) (/ f64 (+ f64 (* f64 (+ f64 h0 -1) (+ f64 h0 (* f64 2 (+ f64 -1 (neg f64 h0))))) (+ f64 h0 (* f64 h0 h0))) (* f64 (+ f64 h0 -1) (* f64 h0 (+ f64 1 h0))))))
<= *-rgt-identity_binary64_2114
(if real (<= f64 (+ f64 (- f64 (/ f64 1 (+ f64 1 h0)) (/ f64 2 h0)) (/ f64 1 (+ f64 h0 (* f64 -1 1)))) -329125385/9223372036854775808) (/ f64 (+ f64 (* f64 (+ f64 h0 (* f64 -1 1)) (- f64 h0 (* f64 (+ f64 1 h0) 2))) (* f64 h0 (+ f64 1 h0))) (* f64 (+ f64 h0 (* f64 -1 1)) (* f64 h0 (+ f64 1 h0)))) (if real (<= f64 (+ f64 (- f64 (/ f64 1 (+ f64 1 h0)) (/ f64 2 h0)) (/ f64 1 (+ f64 h0 (* f64 -1 1)))) 35/37778931862957161709568) (+ f64 (/ f64 2 (pow f64 h0 3)) (+ f64 (/ f64 2 (pow f64 h0 5)) (/ f64 2 (pow f64 h0 7)))) (/ f64 (+ f64 (* f64 (+ f64 h0 -1) (+ f64 h0 (* f64 2 (+ f64 (<= (* f64 -1 1)) (neg f64 h0))))) (+ f64 h0 (* f64 h0 h0))) (* f64 (+ f64 h0 -1) (* f64 h0 (+ f64 1 h0))))))
<= neg-mul-1_binary64_2120
(if real (<= f64 (+ f64 (- f64 (/ f64 1 (+ f64 1 h0)) (/ f64 2 h0)) (/ f64 1 (+ f64 h0 (* f64 -1 1)))) -329125385/9223372036854775808) (/ f64 (+ f64 (* f64 (+ f64 h0 (* f64 -1 1)) (- f64 h0 (* f64 (+ f64 1 h0) 2))) (* f64 h0 (+ f64 1 h0))) (* f64 (+ f64 h0 (* f64 -1 1)) (* f64 h0 (+ f64 1 h0)))) (if real (<= f64 (+ f64 (- f64 (/ f64 1 (+ f64 1 h0)) (/ f64 2 h0)) (/ f64 1 (+ f64 h0 (=> (* f64 -1 1))))) 35/37778931862957161709568) (+ f64 (/ f64 2 (pow f64 h0 3)) (+ f64 (/ f64 2 (pow f64 h0 5)) (/ f64 2 (pow f64 h0 7)))) (/ f64 (+ f64 (* f64 (+ f64 h0 -1) (+ f64 h0 (* f64 2 (+ f64 (<= (neg f64 1)) (neg f64 h0))))) (+ f64 h0 (* f64 h0 h0))) (* f64 (+ f64 h0 -1) (* f64 h0 (+ f64 1 h0))))))
*-rgt-identity_binary64_2114 =>
(if real (<= f64 (+ f64 (- f64 (/ f64 1 (+ f64 1 h0)) (/ f64 2 h0)) (/ f64 1 (+ f64 h0 (* f64 -1 1)))) -329125385/9223372036854775808) (/ f64 (+ f64 (* f64 (+ f64 h0 (* f64 -1 1)) (- f64 h0 (* f64 (+ f64 1 h0) 2))) (* f64 h0 (+ f64 1 h0))) (* f64 (+ f64 h0 (=> (* f64 -1 1))) (* f64 h0 (+ f64 1 h0)))) (if real (<= f64 (+ f64 (- f64 (/ f64 1 (+ f64 1 h0)) (/ f64 2 h0)) (/ f64 1 (+ f64 h0 -1))) 35/37778931862957161709568) (+ f64 (/ f64 2 (pow f64 h0 3)) (+ f64 (/ f64 2 (pow f64 h0 5)) (/ f64 2 (pow f64 h0 7)))) (/ f64 (+ f64 (* f64 (+ f64 h0 -1) (+ f64 h0 (* f64 2 (+ f64 (neg f64 1) (neg f64 h0))))) (+ f64 h0 (* f64 h0 h0))) (* f64 (+ f64 h0 -1) (* f64 h0 (+ f64 1 h0))))))
*-rgt-identity_binary64_2114 =>
(if real (<= f64 (+ f64 (- f64 (/ f64 1 (+ f64 1 h0)) (/ f64 2 h0)) (/ f64 1 (+ f64 h0 (* f64 -1 1)))) -329125385/9223372036854775808) (/ f64 (+ f64 (* f64 (+ f64 h0 (=> (* f64 -1 1))) (- f64 h0 (* f64 (+ f64 1 h0) 2))) (* f64 h0 (+ f64 1 h0))) (* f64 (+ f64 h0 -1) (* f64 h0 (+ f64 1 h0)))) (if real (<= f64 (+ f64 (- f64 (/ f64 1 (+ f64 1 h0)) (/ f64 2 h0)) (/ f64 1 (+ f64 h0 -1))) 35/37778931862957161709568) (+ f64 (/ f64 2 (pow f64 h0 3)) (+ f64 (/ f64 2 (pow f64 h0 5)) (/ f64 2 (pow f64 h0 7)))) (/ f64 (+ f64 (* f64 (+ f64 h0 -1) (+ f64 h0 (* f64 2 (+ f64 (neg f64 1) (neg f64 h0))))) (+ f64 h0 (* f64 h0 h0))) (* f64 (+ f64 h0 -1) (* f64 h0 (+ f64 1 h0))))))
*-rgt-identity_binary64_2114 =>
(if real (<= f64 (+ f64 (- f64 (/ f64 1 (+ f64 1 h0)) (/ f64 2 h0)) (/ f64 1 (+ f64 h0 (=> (* f64 -1 1))))) -329125385/9223372036854775808) (/ f64 (+ f64 (* f64 (+ f64 h0 -1) (- f64 h0 (* f64 (+ f64 1 h0) 2))) (* f64 h0 (+ f64 1 h0))) (* f64 (+ f64 h0 -1) (* f64 h0 (+ f64 1 h0)))) (if real (<= f64 (+ f64 (- f64 (/ f64 1 (+ f64 1 h0)) (/ f64 2 h0)) (/ f64 1 (+ f64 h0 -1))) 35/37778931862957161709568) (+ f64 (/ f64 2 (pow f64 h0 3)) (+ f64 (/ f64 2 (pow f64 h0 5)) (/ f64 2 (pow f64 h0 7)))) (/ f64 (+ f64 (* f64 (+ f64 h0 -1) (+ f64 h0 (* f64 2 (+ f64 (neg f64 1) (neg f64 h0))))) (+ f64 h0 (* f64 h0 h0))) (* f64 (+ f64 h0 -1) (* f64 h0 (+ f64 1 h0))))))
*-rgt-identity_binary64_2114 =>
(if real (<= f64 (+ f64 (- f64 (/ f64 1 (+ f64 1 h0)) (/ f64 2 h0)) (/ f64 1 (+ f64 h0 -1))) -329125385/9223372036854775808) (/ f64 (+ f64 (* f64 (+ f64 h0 -1) (- f64 h0 (* f64 (+ f64 1 h0) 2))) (* f64 h0 (+ f64 1 h0))) (* f64 (+ f64 h0 -1) (* f64 h0 (+ f64 1 h0)))) (if real (<= f64 (+ f64 (- f64 (/ f64 1 (+ f64 1 h0)) (/ f64 2 h0)) (/ f64 1 (+ f64 h0 -1))) 35/37778931862957161709568) (+ f64 (/ f64 2 (pow f64 h0 3)) (+ f64 (/ f64 2 (pow f64 h0 5)) (/ f64 2 (pow f64 h0 7)))) (/ f64 (+ f64 (* f64 (+ f64 h0 -1) (+ f64 h0 (* f64 2 (+ f64 (neg f64 1) (neg f64 h0))))) (+ f64 h0 (* f64 h0 h0))) (* f64 (+ f64 h0 -1) (* f64 h0 (+ f64 1 h0))))))
<= distribute-neg-in_binary64_2085
(if real (<= f64 (+ f64 (- f64 (/ f64 1 (+ f64 1 h0)) (/ f64 2 h0)) (/ f64 1 (+ f64 h0 -1))) -329125385/9223372036854775808) (/ f64 (+ f64 (* f64 (+ f64 h0 -1) (- f64 h0 (* f64 (+ f64 1 h0) 2))) (* f64 h0 (+ f64 1 h0))) (* f64 (+ f64 h0 -1) (* f64 h0 (+ f64 1 h0)))) (if real (<= f64 (+ f64 (- f64 (/ f64 1 (+ f64 1 h0)) (/ f64 2 h0)) (/ f64 1 (+ f64 h0 -1))) 35/37778931862957161709568) (+ f64 (/ f64 2 (pow f64 h0 3)) (+ f64 (/ f64 2 (pow f64 h0 5)) (/ f64 2 (pow f64 h0 7)))) (/ f64 (+ f64 (* f64 (+ f64 h0 -1) (+ f64 h0 (* f64 2 (<= (neg f64 (+ f64 1 h0)))))) (+ f64 h0 (* f64 h0 h0))) (* f64 (+ f64 h0 -1) (* f64 h0 (+ f64 1 h0))))))
<= +-commutative_binary64_2054
(if real (<= f64 (+ f64 (- f64 (/ f64 1 (+ f64 1 h0)) (/ f64 2 h0)) (/ f64 1 (+ f64 h0 -1))) -329125385/9223372036854775808) (/ f64 (+ f64 (* f64 (+ f64 h0 -1) (- f64 h0 (* f64 (+ f64 1 h0) 2))) (* f64 h0 (+ f64 1 h0))) (* f64 (+ f64 h0 -1) (* f64 h0 (+ f64 1 h0)))) (if real (<= f64 (+ f64 (- f64 (/ f64 1 (+ f64 1 h0)) (/ f64 2 h0)) (/ f64 1 (+ f64 h0 -1))) 35/37778931862957161709568) (+ f64 (/ f64 2 (pow f64 h0 3)) (+ f64 (/ f64 2 (pow f64 h0 5)) (/ f64 2 (pow f64 h0 7)))) (/ f64 (+ f64 (* f64 (+ f64 h0 -1) (+ f64 h0 (* f64 2 (neg f64 (<= (+ f64 h0 1)))))) (+ f64 h0 (* f64 h0 h0))) (* f64 (+ f64 h0 -1) (* f64 h0 (+ f64 1 h0))))))
<= distribute-rgt-neg-in_binary64_2082
(if real (<= f64 (+ f64 (- f64 (/ f64 1 (+ f64 1 h0)) (/ f64 2 h0)) (/ f64 1 (+ f64 h0 -1))) -329125385/9223372036854775808) (/ f64 (+ f64 (* f64 (+ f64 h0 -1) (- f64 h0 (* f64 (+ f64 1 h0) 2))) (* f64 h0 (+ f64 1 h0))) (* f64 (+ f64 h0 -1) (* f64 h0 (+ f64 1 h0)))) (if real (<= f64 (+ f64 (- f64 (/ f64 1 (+ f64 1 h0)) (/ f64 2 h0)) (/ f64 1 (+ f64 h0 -1))) 35/37778931862957161709568) (+ f64 (/ f64 2 (pow f64 h0 3)) (+ f64 (/ f64 2 (pow f64 h0 5)) (/ f64 2 (pow f64 h0 7)))) (/ f64 (+ f64 (* f64 (+ f64 h0 -1) (+ f64 h0 (<= (neg f64 (* f64 2 (+ f64 h0 1)))))) (+ f64 h0 (* f64 h0 h0))) (* f64 (+ f64 h0 -1) (* f64 h0 (+ f64 1 h0))))))
<= sub-neg_binary64_2117
(if real (<= f64 (+ f64 (- f64 (/ f64 1 (+ f64 1 h0)) (/ f64 2 h0)) (/ f64 1 (+ f64 h0 -1))) -329125385/9223372036854775808) (/ f64 (+ f64 (* f64 (+ f64 h0 -1) (- f64 h0 (* f64 (+ f64 1 h0) 2))) (* f64 h0 (+ f64 1 h0))) (* f64 (+ f64 h0 -1) (* f64 h0 (+ f64 1 h0)))) (if real (<= f64 (+ f64 (- f64 (/ f64 1 (+ f64 1 h0)) (/ f64 2 h0)) (/ f64 1 (+ f64 h0 -1))) 35/37778931862957161709568) (+ f64 (/ f64 2 (pow f64 h0 3)) (+ f64 (/ f64 2 (pow f64 h0 5)) (/ f64 2 (pow f64 h0 7)))) (/ f64 (+ f64 (* f64 (+ f64 h0 -1) (<= (- f64 h0 (=> (* f64 2 (+ f64 h0 1)))))) (+ f64 h0 (* f64 h0 h0))) (* f64 (+ f64 h0 -1) (* f64 h0 (+ f64 1 h0))))))
*-commutative_binary64_2055 =>
(if real (<= f64 (+ f64 (- f64 (/ f64 1 (+ f64 1 h0)) (/ f64 2 h0)) (/ f64 1 (+ f64 h0 -1))) -329125385/9223372036854775808) (/ f64 (+ f64 (* f64 (+ f64 h0 -1) (- f64 h0 (* f64 (+ f64 1 h0) 2))) (* f64 h0 (+ f64 1 h0))) (* f64 (+ f64 h0 -1) (* f64 h0 (+ f64 1 h0)))) (if real (<= f64 (+ f64 (- f64 (/ f64 1 (+ f64 1 h0)) (/ f64 2 h0)) (/ f64 1 (+ f64 h0 -1))) 35/37778931862957161709568) (+ f64 (/ f64 2 (pow f64 h0 3)) (+ f64 (/ f64 2 (pow f64 h0 5)) (/ f64 2 (pow f64 h0 7)))) (/ f64 (+ f64 (* f64 (+ f64 h0 -1) (- f64 h0 (* f64 (=> (+ f64 h0 1)) 2))) (+ f64 h0 (* f64 h0 h0))) (* f64 (+ f64 h0 -1) (* f64 h0 (+ f64 1 h0))))))
+-commutative_binary64_2054 =>
(if real (<= f64 (+ f64 (- f64 (/ f64 1 (+ f64 1 h0)) (/ f64 2 h0)) (/ f64 1 (+ f64 h0 -1))) -329125385/9223372036854775808) (/ f64 (+ f64 (* f64 (+ f64 h0 -1) (- f64 h0 (* f64 (+ f64 1 h0) 2))) (* f64 h0 (+ f64 1 h0))) (* f64 (+ f64 h0 -1) (* f64 h0 (+ f64 1 h0)))) (if real (<= f64 (+ f64 (- f64 (/ f64 1 (+ f64 1 h0)) (/ f64 2 h0)) (/ f64 1 (+ f64 h0 -1))) 35/37778931862957161709568) (+ f64 (/ f64 2 (pow f64 h0 3)) (+ f64 (/ f64 2 (pow f64 h0 5)) (/ f64 2 (pow f64 h0 7)))) (/ f64 (+ f64 (* f64 (+ f64 h0 -1) (- f64 h0 (* f64 (+ f64 1 h0) 2))) (+ f64 h0 (* f64 h0 h0))) (* f64 (+ f64 h0 -1) (* f64 h0 (+ f64 1 h0))))))

end0.0ms (0%)

sample4.2s (33.5%)

Algorithm

1×

intervals

Results

400.0ms	1309×	body	1024	valid
320.0ms	4366×	body	128	valid
224.0ms	1540×	body	512	valid
74.0ms	785×	body	256	valid
0.0ms	2×	body	128	invalid

Compiler

Compiled 2801 to 2333 computations (16.7% saved)

Details

analyze14.0ms (0.1%)

sample31.0ms (0.2%)

simplify1.1s (9.1%)

prune4.0ms (0%)

localize9.0ms (0.1%)

rewrite248.0ms (2%)

series119.0ms (1%)

simplify789.0ms (6.3%)

prune532.0ms (4.3%)

localize10.0ms (0.1%)

rewrite234.0ms (1.9%)

series112.0ms (0.9%)

simplify234.0ms (1.9%)

prune186.0ms (1.5%)

localize12.0ms (0.1%)

rewrite932.0ms (7.5%)

series84.0ms (0.7%)

simplify2.1s (16.6%)

prune277.0ms (2.2%)

localize21.0ms (0.2%)

rewrite230.0ms (1.8%)

series151.0ms (1.2%)

simplify236.0ms (1.9%)

prune145.0ms (1.2%)

regimes442.0ms (3.5%)

bsearch7.0ms (0.1%)

simplify34.0ms (0.3%)

end0.0ms (0%)

sample4.2s (33.5%)

Profiling