Details

analyze4.0ms (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
75%	25%	0%	4
75%	12.5%	12.5%	5
75%	6.2%	18.8%	6
75%	3.1%	21.9%	7
75%	1.6%	23.5%	8
75%	0.8%	24.3%	9
75%	0.4%	24.6%	10
75%	0.2%	24.8%	11
75%	0.1%	24.9%	12
75%	0%	24.9%	13
75%	0%	25%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample13.0ms (0.3%)

Algorithm

1×

intervals

Results

6.0ms

256×

body

128

valid

Compiler

Compiled 19 to 18 computations (5.3% saved)

simplify490.0ms (10.2%)

Algorithm

1×	egg-herbie

Rules

911×	`exp-prod_binary64_2176`
380×	`exp-diff_binary64_2172`
259×	`unsub-neg_binary64_2118`
229×	`associate-/l*_binary64_2069`
201×	`pow-plus_binary64_2187`
183×	`swap-sqr_binary64_2091`
158×	`distribute-lft-neg-in_binary64_2081`
151×	`distribute-rgt-neg-in_binary64_2082`
150×	`associate-+l-_binary64_2059`
147×	`distribute-rgt1-in_binary64_2080`
146×	`distribute-neg-in_binary64_2085`
127×	`neg-mul-1_binary64_2120`
121×	`neg-sub0_binary64_2119`
120×	`distribute-neg-out_binary64_2086`
118×	`cancel-sign-sub-inv_binary64_2090`
113×	`exp-sum_binary64_2170`
111×	`sub-neg_binary64_2117`
110×	`associate-+l+_binary64_2057`
98×	`distribute-rgt-in_binary64_2074`
95×	`distribute-rgt-neg-out_binary64_2084`
91×	`associate-+r-_binary64_2058`
90×	`*-commutative_binary64_2055`
78×	`sqr-pow_binary64_2096`
76×	`distribute-lft-neg-out_binary64_2083`
72×	`cancel-sign-sub_binary64_2089`
70×	`associate--r+_binary64_2060`
67×	`+-commutative_binary64_2054`
64×	`remove-double-neg_binary64_2112`
51×	`pow-base-1_binary64_2184` `pow-sqr_binary64_2097`
45×	`distribute-rgt-out_binary64_2077`
41×	`exp-neg_binary64_2171`
40×	`distribute-lft-in_binary64_2073`
39×	`associate-r_binary64_2064`
38×	`distribute-lft1-in_binary64_2079`
34×	`associate-+r+_binary64_2056`
33×	`associate-l_binary64_2065`
28×	`times-frac_binary64_2130` `associate--r-_binary64_2063`
22×	`associate--l+_binary64_2061`
21×	`div-sub_binary64_2129` `sub0-neg_binary64_2111`
14×	`exp-lft-sqr_binary64_2179`
10×	`mul0-lft_binary64_2106`
9×	`+-rgt-identity_binary64_2109` `mul0-rgt_binary64_2107` `distribute-frac-neg_binary64_2087`
8×	`distribute-rgt-out--_binary64_2078` `count-2_binary64_2072` `associate--l-_binary64_2062`
7×	`*-rgt-identity_binary64_2114`
6×	`cube-prod_binary64_2152` `--rgt-identity_binary64_2110`
5×	`sqr-neg_binary64_2138`
4×	`div-exp_binary64_2175`
2×	`prod-exp_binary64_2173` `cube-unmult_binary64_2161` `-lft-identity_binary64_2113` `unswap-sqr_binary64_2092` `associate-/l/_binary64_2071` `associate-/r_binary64_2068`
1×	`exp-sqrt_binary64_2177` `1-exp_binary64_2168` `exp-1-e_binary64_2167` `+-lft-identity_binary64_2108` `div0_binary64_2105`
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` `rec-exp_binary64_2174` `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` `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` `rem-sqrt-square_binary64_2137` `rem-square-sqrt_binary64_2136` `mul-1-neg_binary64_2116` `/-rgt-identity_binary64_2115` `-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` `difference-of-squares_binary64_2093` `distribute-neg-frac_binary64_2088` `distribute-lft-out--_binary64_2076` `distribute-lft-out_binary64_2075` `associate-/r/_binary64_2070` `associate-l/_binary64_2067` `associate-*r/_binary64_2066`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	25	13
2	53	13
3	107	13
4	174	13
5	257	13
6	537	13
7	1248	13
8	3696	13

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.1b

Counts

1 → 1

Compiler

Compiled 9 to 8 computations (11.1% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 2278821411449471/9007199254740992 (*.f64 x 1080863910568919/9007199254740992))
0.1b	(.f64 x (+.f64 2278821411449471/9007199254740992 (.f64 x 1080863910568919/9007199254740992)))

rewrite55.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

6×	`add-sqr-sqrt_binary64_2146`
4×	`pow1_binary64_2185` `add-exp-log_binary64_2162` `add-log-exp_binary64_2163` `add-cbrt-cube_binary64_2160` `add-cube-cbrt_binary64_2159` `*-un-lft-identity_binary64_2124`
3×	`associate-l_binary64_2065` `associate-r_binary64_2064`
2×	`flip3-+_binary64_2127` `associate-*r/_binary64_2066` `flip-+_binary64_2098`
1×	`pow-prod-down_binary64_2195` `prod-exp_binary64_2173` `cbrt-unprod_binary64_2157` `unswap-sqr_binary64_2092` `distribute-rgt-in_binary64_2074` `distribute-lft-in_binary64_2073` `*-commutative_binary64_2055` `sum-log_binary64_2215` `+-commutative_binary64_2054`

Counts

2 → 33

Calls

2 calls:

11.0ms	(.f64 x (+.f64 2278821411449471/9007199254740992 (.f64 x 1080863910568919/9007199254740992)))
3.0ms	(+.f64 2278821411449471/9007199254740992 (*.f64 x 1080863910568919/9007199254740992))

Compiler

Compiled 542 to 433 computations (20.1% saved)

series128.0ms (2.7%)

Error

0.0b

Counts

2 → 12

Calls

2 calls:

75.0ms	(.f64 x (+.f64 2278821411449471/9007199254740992 (.f64 x 1080863910568919/9007199254740992)))
42.0ms	(+.f64 2278821411449471/9007199254740992 (*.f64 x 1080863910568919/9007199254740992))

Compiler

Compiled 256 to 223 computations (12.9% saved)

simplify174.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

979×	`associate-*l/_binary64_2067`
278×	`*-commutative_binary64_2055`
236×	`cancel-sign-sub-inv_binary64_2090`
230×	`distribute-rgt-in_binary64_2074`
223×	`distribute-lft-in_binary64_2073`
171×	`associate-+l+_binary64_2057`
166×	`associate-+r+_binary64_2056`
144×	`times-frac_binary64_2130`
125×	`sqr-pow_binary64_2096`
122×	`distribute-neg-frac_binary64_2088`
104×	`unswap-sqr_binary64_2092`
100×	`sub-neg_binary64_2117`
95×	`associate-l_binary64_2065`
93×	`exp-prod_binary64_2176`
82×	`associate-/r*_binary64_2068`
78×	`associate-r_binary64_2064`
77×	`*-rgt-identity_binary64_2114`
72×	`exp-sqrt_binary64_2177`
69×	`associate-/r/_binary64_2070` `associate-/l*_binary64_2069`
67×	`cube-div_binary64_2153`
59×	`cube-prod_binary64_2152`
58×	`distribute-rgt-neg-in_binary64_2082`
50×	`pow-sqr_binary64_2097`
49×	`swap-sqr_binary64_2091`
46×	`distribute-lft-neg-in_binary64_2081`
45×	`neg-mul-1_binary64_2120`
43×	`log-div_binary64_2211` `log-prod_binary64_2210` `*-lft-identity_binary64_2113`
42×	`neg-sub0_binary64_2119` `+-commutative_binary64_2054`
39×	`/-rgt-identity_binary64_2115`
36×	`unsub-neg_binary64_2118`
31×	`div-sub_binary64_2129`
29×	`associate-*r/_binary64_2066`
27×	`exp-lft-sqr_binary64_2179` `distribute-rgt-out_binary64_2077`
22×	`associate-+l-_binary64_2059`
19×	`associate-+r-_binary64_2058`
18×	`associate-/l/_binary64_2071`
17×	`pow-plus_binary64_2187`
16×	`associate--l-_binary64_2062`
15×	`unpow3_binary64_2190` `distribute-lft-neg-out_binary64_2083`
13×	`cube-mult_binary64_2154`
12×	`sub0-neg_binary64_2111`
11×	`distribute-rgt-out--_binary64_2078`
10×	`log-pow_binary64_2213` `difference-of-squares_binary64_2093` `cancel-sign-sub_binary64_2089`
9×	`exp-sum_binary64_2170`
7×	`+-rgt-identity_binary64_2109` `distribute-rgt-neg-out_binary64_2084`
6×	`distribute-lft-out_binary64_2075`
5×	`exp-diff_binary64_2172`
4×	`rem-sqrt-square_binary64_2137` `associate--r+_binary64_2060`
3×	`pow-base-1_binary64_2184` `cube-unmult_binary64_2161` `distribute-lft-out--_binary64_2076`
2×	`prod-exp_binary64_2173` `distribute-neg-in_binary64_2085` `distribute-rgt1-in_binary64_2080` `count-2_binary64_2072`
1×	`log-rec_binary64_2212` `unpow2_binary64_2189` `unpow1_binary64_2182` `1-exp_binary64_2168` `exp-1-e_binary64_2167` `rem-log-exp_binary64_2165` `rem-exp-log_binary64_2164` `remove-double-neg_binary64_2112` `*-inverses_binary64_2104` `rgt-mult-inverse_binary64_2101` `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` `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` `div-exp_binary64_2175` `rec-exp_binary64_2174` `exp-neg_binary64_2171` `e-exp-1_binary64_2169` `exp-0_binary64_2166` `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` `div0_binary64_2105` `+-inverses_binary64_2103` `lft-mult-inverse_binary64_2102` `remove-double-div_binary64_2100` `difference-of-sqr--1_binary64_2095` `difference-of-sqr-1_binary64_2094` `distribute-frac-neg_binary64_2087` `distribute-neg-out_binary64_2086` `distribute-lft1-in_binary64_2079` `associate--r-_binary64_2063`

Counts

45 → 36

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	61	563
1	173	506
2	615	506
3	1560	506
4	3850	506

prune39.0ms (0.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	33	3	36
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	33	4	37

Error

Counts

37 → 4

Compiler

Compiled 529 to 407 computations (23.1% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (.f64 2278821411449471/9007199254740992 x) (.f64 1080863910568919/9007199254740992 (*.f64 x x)))
0.1b	(.f64 1080863910568919/9007199254740992 (.f64 x x))

rewrite42.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

7×	`pow1_binary64_2185` `add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`
4×	`add-log-exp_binary64_2163` `add-sqr-sqrt_binary64_2146`
3×	`pow-prod-down_binary64_2195` `prod-exp_binary64_2173` `add-cube-cbrt_binary64_2159` `cbrt-unprod_binary64_2157` `-un-lft-identity_binary64_2124` `associate-l*_binary64_2065`
1×	`unswap-sqr_binary64_2092` `associate-r_binary64_2064` `*-commutative_binary64_2055` `sum-log_binary64_2215` `flip3-+_binary64_2127` `flip-+_binary64_2098` `+-commutative_binary64_2054`

Counts

2 → 30

Calls

2 calls:

6.0ms	(.f64 1080863910568919/9007199254740992 (.f64 x x))
4.0ms	(+.f64 (.f64 2278821411449471/9007199254740992 x) (.f64 1080863910568919/9007199254740992 (*.f64 x x)))

Compiler

Compiled 549 to 366 computations (33.3% saved)

series125.0ms (2.6%)

Error

Counts

2 → 9

Calls

2 calls:

77.0ms	(+.f64 (.f64 2278821411449471/9007199254740992 x) (.f64 1080863910568919/9007199254740992 (*.f64 x x)))
40.0ms	(.f64 1080863910568919/9007199254740992 (.f64 x x))

Compiler

Compiled 236 to 210 computations (11% saved)

simplify118.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

453×	`cancel-sign-sub-inv_binary64_2090`
412×	`associate-l_binary64_2065`
359×	`times-frac_binary64_2130`
327×	`unswap-sqr_binary64_2092`
315×	`distribute-rgt-out_binary64_2077`
295×	`associate-r_binary64_2064`
290×	`distribute-rgt-in_binary64_2074`
259×	`distribute-lft-in_binary64_2073`
166×	`distribute-lft-out_binary64_2075`
148×	`distribute-rgt-neg-in_binary64_2082`
121×	`sqr-pow_binary64_2096`
117×	`distribute-lft-neg-in_binary64_2081`
100×	`unsub-neg_binary64_2118`
97×	`sub-neg_binary64_2117`
94×	`associate-+l+_binary64_2057`
90×	`associate-+r+_binary64_2056`
73×	`*-commutative_binary64_2055`
69×	`distribute-rgt-out--_binary64_2078`
68×	`neg-sub0_binary64_2119`
67×	`neg-mul-1_binary64_2120`
63×	`difference-of-squares_binary64_2093`
61×	`pow-sqr_binary64_2097`
42×	`+-commutative_binary64_2054`
35×	`distribute-lft-neg-out_binary64_2083`
32×	`log-prod_binary64_2210`
31×	`exp-prod_binary64_2176`
29×	`cube-prod_binary64_2152`
26×	`pow-plus_binary64_2187`
23×	`associate-/r*_binary64_2068`
20×	`unpow3_binary64_2190`
19×	`associate-+l-_binary64_2059` `associate-+r-_binary64_2058`
16×	`associate-/r/_binary64_2070`
14×	`sub0-neg_binary64_2111` `mul0-rgt_binary64_2107` `mul0-lft_binary64_2106` `associate-/l*_binary64_2069`
13×	`swap-sqr_binary64_2091` `associate-/l/_binary64_2071`
12×	`distribute-rgt-neg-out_binary64_2084`
11×	`cube-unmult_binary64_2161` `cube-mult_binary64_2154` `+-rgt-identity_binary64_2109` `distribute-lft-out--_binary64_2076` `associate-*l/_binary64_2067`
9×	`log-pow_binary64_2213`
8×	`distribute-neg-in_binary64_2085` `associate-*r/_binary64_2066`
7×	`/-rgt-identity_binary64_2115`
6×	`exp-sum_binary64_2170`
4×	`associate--r+_binary64_2060`
3×	`count-2_binary64_2072` `associate--l+_binary64_2061`
2×	`prod-exp_binary64_2173` `-rgt-identity_binary64_2114` `-lft-identity_binary64_2113`
1×	`unpow2_binary64_2189` `unpow1_binary64_2182` `div-exp_binary64_2175` `rec-exp_binary64_2174` `1-exp_binary64_2168` `remove-double-neg_binary64_2112` `+-lft-identity_binary64_2108` `*-inverses_binary64_2104` `rgt-mult-inverse_binary64_2101` `distribute-rgt1-in_binary64_2080`
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-rec_binary64_2212` `log-div_binary64_2211` `pow-base-0_binary64_2208` `unpow1/3_binary64_2191` `unpow1/2_binary64_2188` `exp-to-pow_binary64_2186` `pow-base-1_binary64_2184` `unpow0_binary64_2183` `unpow-1_binary64_2181` `exp-lft-cube_binary64_2180` `exp-lft-sqr_binary64_2179` `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-log-exp_binary64_2165` `rem-exp-log_binary64_2164` `cube-div_binary64_2153` `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-sqrt-square_binary64_2137` `rem-square-sqrt_binary64_2136` `div-sub_binary64_2129` `mul-1-neg_binary64_2116` `--rgt-identity_binary64_2110` `div0_binary64_2105` `+-inverses_binary64_2103` `lft-mult-inverse_binary64_2102` `remove-double-div_binary64_2100` `difference-of-sqr--1_binary64_2095` `difference-of-sqr-1_binary64_2094` `cancel-sign-sub_binary64_2089` `distribute-neg-frac_binary64_2088` `distribute-frac-neg_binary64_2087` `distribute-neg-out_binary64_2086` `distribute-lft1-in_binary64_2079` `associate--r-_binary64_2063` `associate--l-_binary64_2062`

Counts

39 → 78

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	58	505
1	159	430
2	551	424
3	1537	424
4	4115	424

prune99.0ms (2.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	78	0	78
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	78	4	82

Error

Counts

82 → 4

Compiler

Compiled 1714 to 1200 computations (30% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)

rewrite99.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

25×	`cbrt-prod_binary64_2155`
23×	`add-sqr-sqrt_binary64_2146`
15×	`add-cube-cbrt_binary64_2159` `*-un-lft-identity_binary64_2124`
11×	`pow1_binary64_2185`
9×	`pow1/3_binary64_2206`
6×	`add-exp-log_binary64_2162` `swap-sqr_binary64_2091` `associate-l_binary64_2065` `associate-r_binary64_2064`
4×	`add-log-exp_binary64_2163` `add-cbrt-cube_binary64_2160` `unswap-sqr_binary64_2092`
2×	`pow-prod-down_binary64_2195` `pow-prod-up_binary64_2194` `pow-sqr_binary64_2097`
1×	`pow2_binary64_2205` `pow-plus_binary64_2187` `prod-exp_binary64_2173` `cbrt-unprod_binary64_2157` `*-commutative_binary64_2055`

Counts

4 → 73

Calls

4 calls:

6.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

Compiler

Compiled 1524 to 743 computations (51.2% saved)

series505.0ms (10.5%)

Error

Counts

4 → 12

Calls

4 calls:

150.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
122.0ms	(cbrt.f64 x)
111.0ms	(cbrt.f64 x)
108.0ms	(cbrt.f64 x)

Compiler

Compiled 663 to 513 computations (22.6% saved)

simplify332.0ms (6.9%)

Algorithm

1×	egg-herbie

Rules

545×	`log-prod_binary64_2210`
427×	`log-div_binary64_2211`
416×	`associate-/l*_binary64_2069`
347×	`associate-l_binary64_2065`
293×	`associate-/r*_binary64_2068`
231×	`associate-r_binary64_2064`
203×	`*-commutative_binary64_2055`
184×	`associate-/r/_binary64_2070`
150×	`distribute-rgt-neg-in_binary64_2082`
144×	`distribute-lft-neg-in_binary64_2081`
140×	`exp-prod_binary64_2176`
128×	`distribute-rgt-in_binary64_2074`
123×	`unswap-sqr_binary64_2092`
112×	`cube-prod_binary64_2152`
95×	`distribute-lft-in_binary64_2073`
86×	`swap-sqr_binary64_2091`
80×	`associate-/l/_binary64_2071`
77×	`sqr-pow_binary64_2096`
55×	`log-pow_binary64_2213` `distribute-rgt-out_binary64_2077`
52×	`times-frac_binary64_2130`
47×	`cancel-sign-sub-inv_binary64_2090`
42×	`associate-+l+_binary64_2057`
39×	`associate-+r+_binary64_2056`
38×	`associate-*l/_binary64_2067`
37×	`pow-sqr_binary64_2097`
30×	`distribute-lft-out_binary64_2075`
29×	`cube-div_binary64_2153`
28×	`distribute-neg-frac_binary64_2088`
24×	`log-rec_binary64_2212` `*-rgt-identity_binary64_2114`
23×	`*-lft-identity_binary64_2113`
22×	`pow-plus_binary64_2187`
21×	`associate-*r/_binary64_2066`
19×	`exp-sqrt_binary64_2177`
18×	`rem-sqrt-square_binary64_2137`
15×	`cube-unmult_binary64_2161`
13×	`neg-mul-1_binary64_2120` `neg-sub0_binary64_2119`
12×	`associate-+l-_binary64_2059`
9×	`exp-lft-sqr_binary64_2179` `distribute-rgt-neg-out_binary64_2084` `distribute-lft-neg-out_binary64_2083`
8×	`distribute-rgt1-in_binary64_2080` `count-2_binary64_2072`
6×	`unpow3_binary64_2190` `associate--l-_binary64_2062` `associate--l+_binary64_2061`
5×	`associate-+r-_binary64_2058` `+-commutative_binary64_2054`
4×	`div-exp_binary64_2175` `prod-exp_binary64_2173` `distribute-rgt-out--_binary64_2078`
3×	`unpow1/3_binary64_2191` `unpow2_binary64_2189` `sub-neg_binary64_2117` `distribute-lft-out--_binary64_2076`
2×	`unpow1_binary64_2182` `rec-exp_binary64_2174` `exp-sum_binary64_2170` `cube-mult_binary64_2154` `rem-3cbrt-lft_binary64_2149` `rem-cbrt-cube_binary64_2148` `/-rgt-identity_binary64_2115` `distribute-lft1-in_binary64_2079`
1×	`pow-base-1_binary64_2184` `exp-diff_binary64_2172` `1-exp_binary64_2168` `exp-1-e_binary64_2167` `rem-log-exp_binary64_2165` `rem-3cbrt-rft_binary64_2150` `rem-square-sqrt_binary64_2136` `mul-1-neg_binary64_2116` `mul0-lft_binary64_2106` `*-inverses_binary64_2104` `distribute-neg-out_binary64_2086`
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` `unpow1/2_binary64_2188` `exp-to-pow_binary64_2186` `unpow0_binary64_2183` `unpow-1_binary64_2181` `exp-lft-cube_binary64_2180` `exp-cbrt_binary64_2178` `exp-neg_binary64_2171` `e-exp-1_binary64_2169` `exp-0_binary64_2166` `rem-exp-log_binary64_2164` `cube-neg_binary64_2151` `rem-cube-cbrt_binary64_2147` `sqr-abs_binary64_2139` `sqr-neg_binary64_2138` `div-sub_binary64_2129` `unsub-neg_binary64_2118` `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` `div0_binary64_2105` `+-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` `difference-of-squares_binary64_2093` `cancel-sign-sub_binary64_2089` `distribute-frac-neg_binary64_2087` `distribute-neg-in_binary64_2085` `associate--r-_binary64_2063` `associate--r+_binary64_2060`

Counts

85 → 83

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	55	718
1	97	656
2	345	636
3	1343	633
4	4059	633

prune100.0ms (2.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	83	0	83
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	83	4	87

Error

Counts

87 → 4

Compiler

Compiled 1766 to 924 computations (47.7% saved)

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (.f64 2278821411449471/9007199254740992 2278821411449471/9007199254740992) (.f64 (.f64 x x) (.f64 1080863910568919/9007199254740992 1080863910568919/9007199254740992)))
0.2b	(.f64 (.f64 x x) (*.f64 1080863910568919/9007199254740992 1080863910568919/9007199254740992))
0.5b	(.f64 x (-.f64 (.f64 2278821411449471/9007199254740992 2278821411449471/9007199254740992) (.f64 (.f64 x x) (*.f64 1080863910568919/9007199254740992 1080863910568919/9007199254740992))))
4.6b	(/.f64 (.f64 x (-.f64 (.f64 2278821411449471/9007199254740992 2278821411449471/9007199254740992) (.f64 (.f64 x x) (.f64 1080863910568919/9007199254740992 1080863910568919/9007199254740992)))) (-.f64 2278821411449471/9007199254740992 (.f64 x 1080863910568919/9007199254740992)))

rewrite196.0ms (4.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

34×	`pow1_binary64_2185`
23×	`add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`
15×	`pow-prod-down_binary64_2195`
10×	`prod-exp_binary64_2173` `cbrt-unprod_binary64_2157` `add-sqr-sqrt_binary64_2146`
8×	`add-cube-cbrt_binary64_2159` `*-un-lft-identity_binary64_2124`
6×	`add-log-exp_binary64_2163`
4×	`flip3--_binary64_2128` `associate-r/_binary64_2066` `flip--_binary64_2099` `associate-l_binary64_2065` `associate-r*_binary64_2064` `pow-prod-up_binary64_2194` `pow-plus_binary64_2187`
3×	`times-frac_binary64_2130` `associate-/r*_binary64_2068` `sub-neg_binary64_2117` `cancel-sign-sub-inv_binary64_2090`
2×	`div-exp_binary64_2175` `cbrt-undiv_binary64_2158` `associate-/l/_binary64_2071` `associate-/r/_binary64_2070` `unswap-sqr_binary64_2092` `distribute-rgt-in_binary64_2074` `distribute-lft-in_binary64_2073` `*-commutative_binary64_2055` `pow2_binary64_2205` `pow-sqr_binary64_2097`
1×	`frac-2neg_binary64_2135` `clear-num_binary64_2123` `div-inv_binary64_2121` `associate-/l*_binary64_2069` `diff-log_binary64_2216`

Counts

4 → 90

Calls

4 calls:

10.0ms	(/.f64 (.f64 x (-.f64 (.f64 2278821411449471/9007199254740992 2278821411449471/9007199254740992) (.f64 (.f64 x x) (.f64 1080863910568919/9007199254740992 1080863910568919/9007199254740992)))) (-.f64 2278821411449471/9007199254740992 (.f64 x 1080863910568919/9007199254740992)))
9.0ms	(.f64 (.f64 x x) (*.f64 1080863910568919/9007199254740992 1080863910568919/9007199254740992))
7.0ms	(.f64 x (-.f64 (.f64 2278821411449471/9007199254740992 2278821411449471/9007199254740992) (.f64 (.f64 x x) (*.f64 1080863910568919/9007199254740992 1080863910568919/9007199254740992))))
4.0ms	(-.f64 (.f64 2278821411449471/9007199254740992 2278821411449471/9007199254740992) (.f64 (.f64 x x) (.f64 1080863910568919/9007199254740992 1080863910568919/9007199254740992)))

Compiler

Compiled 2802 to 2145 computations (23.4% saved)

series369.0ms (7.7%)

Error

Counts

4 → 21

Calls

4 calls:

138.0ms	(/.f64 (.f64 x (-.f64 (.f64 2278821411449471/9007199254740992 2278821411449471/9007199254740992) (.f64 (.f64 x x) (.f64 1080863910568919/9007199254740992 1080863910568919/9007199254740992)))) (-.f64 2278821411449471/9007199254740992 (.f64 x 1080863910568919/9007199254740992)))
106.0ms	(.f64 x (-.f64 (.f64 2278821411449471/9007199254740992 2278821411449471/9007199254740992) (.f64 (.f64 x x) (*.f64 1080863910568919/9007199254740992 1080863910568919/9007199254740992))))
65.0ms	(-.f64 (.f64 2278821411449471/9007199254740992 2278821411449471/9007199254740992) (.f64 (.f64 x x) (.f64 1080863910568919/9007199254740992 1080863910568919/9007199254740992)))
42.0ms	(.f64 (.f64 x x) (*.f64 1080863910568919/9007199254740992 1080863910568919/9007199254740992))

Compiler

Compiled 770 to 671 computations (12.9% saved)

simplify352.0ms (7.3%)

Algorithm

1×	egg-herbie

Rules

409×	`associate-/l/_binary64_2071`
385×	`distribute-rgt-in_binary64_2074`
372×	`distribute-lft-in_binary64_2073`
242×	`associate-l_binary64_2065`
218×	`distribute-rgt-neg-in_binary64_2082`
214×	`cancel-sign-sub-inv_binary64_2090`
213×	`associate-r_binary64_2064`
196×	`distribute-lft-neg-in_binary64_2081`
119×	`unswap-sqr_binary64_2092`
102×	`associate-/l*_binary64_2069`
79×	`div-sub_binary64_2129`
70×	`exp-prod_binary64_2176`
57×	`log-prod_binary64_2210` `sqr-pow_binary64_2096`
56×	`*-commutative_binary64_2055`
50×	`times-frac_binary64_2130`
47×	`cube-prod_binary64_2152`
46×	`distribute-neg-frac_binary64_2088`
43×	`sub-neg_binary64_2117`
42×	`neg-sub0_binary64_2119` `distribute-lft-neg-out_binary64_2083`
41×	`neg-mul-1_binary64_2120`
40×	`associate-*l/_binary64_2067`
38×	`log-div_binary64_2211`
32×	`associate-/r*_binary64_2068`
31×	`cube-div_binary64_2153` `distribute-rgt-out_binary64_2077`
28×	`swap-sqr_binary64_2091`
27×	`pow-sqr_binary64_2097`
26×	`*-rgt-identity_binary64_2114`
25×	`distribute-rgt-neg-out_binary64_2084`
22×	`associate-*r/_binary64_2066`
19×	`+-commutative_binary64_2054`
16×	`pow-plus_binary64_2187` `*-lft-identity_binary64_2113` `distribute-lft-out_binary64_2075` `associate-/r/_binary64_2070`
12×	`unpow3_binary64_2190` `/-rgt-identity_binary64_2115` `distribute-neg-in_binary64_2085`
10×	`difference-of-squares_binary64_2093`
9×	`exp-sum_binary64_2170`
8×	`cube-mult_binary64_2154`
6×	`cube-unmult_binary64_2161` `associate-+l+_binary64_2057`
5×	`*-inverses_binary64_2104` `associate-+r+_binary64_2056`
4×	`log-rec_binary64_2212` `unsub-neg_binary64_2118`
3×	`exp-diff_binary64_2172` `distribute-rgt-out--_binary64_2078`
2×	`log-pow_binary64_2213` `div-exp_binary64_2175` `remove-double-neg_binary64_2112` `count-2_binary64_2072` `associate--l+_binary64_2061`
1×	`unpow2_binary64_2189` `pow-base-1_binary64_2184` `unpow1_binary64_2182` `exp-sqrt_binary64_2177` `rec-exp_binary64_2174` `prod-exp_binary64_2173` `1-exp_binary64_2168` `exp-1-e_binary64_2167` `rem-log-exp_binary64_2165` `rem-sqrt-square_binary64_2137` `+-rgt-identity_binary64_2109` `rgt-mult-inverse_binary64_2101` `associate--r-_binary64_2063` `associate--r+_binary64_2060` `associate-+r-_binary64_2058`
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-lft-sqr_binary64_2179` `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-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` `sub0-neg_binary64_2111` `--rgt-identity_binary64_2110` `+-lft-identity_binary64_2108` `mul0-rgt_binary64_2107` `mul0-lft_binary64_2106` `div0_binary64_2105` `+-inverses_binary64_2103` `lft-mult-inverse_binary64_2102` `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` `distribute-lft-out--_binary64_2076` `associate--l-_binary64_2062` `associate-+l-_binary64_2059`

Counts

111 → 273

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	148	2355
1	399	2023
2	1803	1965

prune610.0ms (12.7%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	273	0	273
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	273	4	277

Error

Counts

277 → 4

Compiler

Compiled 8432 to 6722 computations (20.3% saved)

regimes147.0ms (3.1%)

Accuracy

Total 0.1b remaining (96.5%)

Threshold costs 0.1b (96.5%)

Compiler

Compiled 1227 to 1039 computations (15.3% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

9×	`*-commutative_binary64_2055` `+-commutative_binary64_2054`
8×	`sub-neg_binary64_2117`
7×	`neg-mul-1_binary64_2120` `neg-sub0_binary64_2119`
4×	`distribute-rgt-neg-in_binary64_2082` `distribute-lft-neg-in_binary64_2081`
2×	`unsub-neg_binary64_2118` `distribute-neg-in_binary64_2085`
1×	`1-exp_binary64_2168`
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` `-rgt-identity_binary64_2114` `-lft-identity_binary64_2113` `remove-double-neg_binary64_2112` `sub0-neg_binary64_2111` `--rgt-identity_binary64_2110` `+-rgt-identity_binary64_2109` `+-lft-identity_binary64_2108` `cancel-sign-sub-inv_binary64_2090` `cancel-sign-sub_binary64_2089` `distribute-neg-frac_binary64_2088` `distribute-frac-neg_binary64_2087` `distribute-neg-out_binary64_2086` `distribute-rgt-neg-out_binary64_2084` `distribute-lft-neg-out_binary64_2083`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	16
1	18	16
2	26	16
3	46	16
4	59	16
5	69	16
6	73	16

Proof

(- f64 1 (+ f64 (* f64 2278821411449471/9007199254740992 h0) (* f64 1080863910568919/9007199254740992 (pow f64 h0 2))))

end0.0ms (0%)

sample772.0ms (16%)

Algorithm

1×

intervals

Results

190.0ms	8000×	body	128	valid
0.0ms	3×	body	128	invalid

Compiler

Compiled 401 to 341 computations (15% saved)

Details

analyze4.0ms (0.1%)

sample13.0ms (0.3%)

simplify490.0ms (10.2%)

prune2.0ms (0%)

localize6.0ms (0.1%)

rewrite55.0ms (1.1%)

series128.0ms (2.7%)

simplify174.0ms (3.6%)

prune39.0ms (0.8%)

localize7.0ms (0.1%)

rewrite42.0ms (0.9%)

series125.0ms (2.6%)

simplify118.0ms (2.5%)

prune99.0ms (2.1%)

localize11.0ms (0.2%)

rewrite99.0ms (2.1%)

series505.0ms (10.5%)

simplify332.0ms (6.9%)

prune100.0ms (2.1%)

localize12.0ms (0.3%)

rewrite196.0ms (4.1%)

series369.0ms (7.7%)

simplify352.0ms (7.3%)

prune610.0ms (12.7%)

regimes147.0ms (3.1%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample772.0ms (16%)

Profiling