Details

analyze1.0s (4.5%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
0%	99.8%	0.2%	9
1.8%	98%	0.2%	10
7.7%	92.1%	0.2%	11
10.4%	89.3%	0.2%	12
12.2%	87.5%	0.2%	13
21.9%	77.7%	0.4%	14

Compiler

Compiled 14 to 12 computations (14.3% saved)

sample31.0ms (0.1%)

Algorithm

1×

intervals

Results

7.0ms	195×	body	128	valid
3.0ms	24×	body	1024	valid
2.0ms	18×	body	512	valid
2.0ms	42×	body	128	invalid
1.0ms	17×	body	256	valid
0.0ms	2×	body	2048	valid

Compiler

Compiled 27 to 28 computations (-3.7% saved)

simplify791.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

1017×	`unsub-neg_binary64_2118`
627×	`swap-sqr_binary64_2091`
430×	`associate-/l*_binary64_2069`
351×	`sub-neg_binary64_2117`
267×	`times-frac_binary64_2130`
237×	`associate-r_binary64_2064`
193×	`associate-l_binary64_2065`
191×	`distribute-rgt-in_binary64_2074`
179×	`distribute-neg-out_binary64_2086`
175×	`div-sub_binary64_2129`
172×	`neg-sub0_binary64_2119`
164×	`associate-+l-_binary64_2059`
154×	`neg-mul-1_binary64_2120`
152×	`distribute-rgt-out_binary64_2077`
139×	`distribute-lft-in_binary64_2073`
93×	`+-commutative_binary64_2054`
78×	`associate-/l/_binary64_2071`
76×	`associate-/r*_binary64_2068`
72×	`associate-+r+_binary64_2056`
71×	`cancel-sign-sub-inv_binary64_2090` `associate-+l+_binary64_2057`
66×	`distribute-lft-neg-out_binary64_2083`
63×	`associate-+r-_binary64_2058`
61×	`distribute-rgt-neg-out_binary64_2084`
59×	`distribute-frac-neg_binary64_2087`
55×	`sub0-neg_binary64_2111` `associate--l+_binary64_2061`
49×	`associate--r+_binary64_2060`
47×	`remove-double-neg_binary64_2112`
46×	`*-commutative_binary64_2055`
37×	`distribute-lft-neg-in_binary64_2081`
34×	`associate-/r/_binary64_2070`
33×	`associate-*l/_binary64_2067`
32×	`distribute-rgt-neg-in_binary64_2082`
28×	`distribute-neg-in_binary64_2085`
26×	`+-rgt-identity_binary64_2109`
25×	`associate-*r/_binary64_2066`
24×	`sqr-neg_binary64_2138`
21×	`distribute-rgt1-in_binary64_2080` `distribute-lft-out_binary64_2075`
19×	`div0_binary64_2105`
16×	`associate--l-_binary64_2062`
13×	`mul-1-neg_binary64_2116` `mul0-rgt_binary64_2107` `mul0-lft_binary64_2106`
11×	`+-lft-identity_binary64_2108`
9×	`distribute-neg-frac_binary64_2088`
8×	`associate--r-_binary64_2063`
7×	`*-inverses_binary64_2104`
5×	`distribute-rgt-out--_binary64_2078`
3×	`--rgt-identity_binary64_2110`
1×	`1-exp_binary64_2168` `cube-unmult_binary64_2161` `difference-of-sqr--1_binary64_2095` `cancel-sign-sub_binary64_2089` `distribute-lft1-in_binary64_2079` `count-2_binary64_2072`
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` `pow-plus_binary64_2187` `exp-to-pow_binary64_2186` `pow-base-1_binary64_2184` `unpow0_binary64_2183` `unpow1_binary64_2182` `unpow-1_binary64_2181` `exp-lft-cube_binary64_2180` `exp-lft-sqr_binary64_2179` `exp-cbrt_binary64_2178` `exp-sqrt_binary64_2177` `exp-prod_binary64_2176` `div-exp_binary64_2175` `rec-exp_binary64_2174` `prod-exp_binary64_2173` `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-log-exp_binary64_2165` `rem-exp-log_binary64_2164` `cube-mult_binary64_2154` `cube-div_binary64_2153` `cube-prod_binary64_2152` `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` `/-rgt-identity_binary64_2115` `-rgt-identity_binary64_2114` `-lft-identity_binary64_2113` `+-inverses_binary64_2103` `lft-mult-inverse_binary64_2102` `rgt-mult-inverse_binary64_2101` `remove-double-div_binary64_2100` `pow-sqr_binary64_2097` `sqr-pow_binary64_2096` `difference-of-sqr-1_binary64_2094` `difference-of-squares_binary64_2093` `unswap-sqr_binary64_2092` `distribute-lft-out--_binary64_2076`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	19
1	24	19
2	50	19
3	150	19
4	455	19
5	1031	19
6	3838	19

prune4.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

15.5b

Counts

2 → 2

Compiler

Compiled 39 to 33 computations (15.4% saved)

localize9.0ms (0%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (-.f64 a z) (-.f64 y z))
2.1b	(/.f64 (-.f64 t x) (/.f64 (-.f64 a z) (-.f64 y z)))
3.2b	(+.f64 x (/.f64 (-.f64 t x) (/.f64 (-.f64 a z) (-.f64 y z))))

rewrite453.0ms (2%)

Algorithm

1×	rewrite-expression-head

Error

15.0b

Rules

330×	`times-frac_binary64_2130`
323×	`*-un-lft-identity_binary64_2124`
321×	`add-sqr-sqrt_binary64_2146`
113×	`add-cube-cbrt_binary64_2159`
104×	`difference-of-squares_binary64_2093` `distribute-lft-out--_binary64_2076`
36×	`associate-/r*_binary64_2068`
15×	`associate-/r/_binary64_2070`
10×	`add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160` `associate-/l*_binary64_2069`
9×	`flip3--_binary64_2128` `flip--_binary64_2099`
8×	`div-inv_binary64_2121`
5×	`add-log-exp_binary64_2163`
4×	`div-exp_binary64_2175` `cbrt-undiv_binary64_2158` `associate-/l/_binary64_2071`
3×	`pow1_binary64_2185` `div-sub_binary64_2129`
2×	`frac-2neg_binary64_2135` `clear-num_binary64_2123`
1×	`sum-log_binary64_2215` `flip3-+_binary64_2127` `flip-+_binary64_2098` `distribute-lft-out_binary64_2075` `associate-+r-_binary64_2058` `+-commutative_binary64_2054`

Counts

3 → 274

Calls

3 calls:

51.0ms	(+.f64 x (/.f64 (-.f64 t x) (/.f64 (-.f64 a z) (-.f64 y z))))
18.0ms	(/.f64 (-.f64 t x) (/.f64 (-.f64 a z) (-.f64 y z)))
9.0ms	(/.f64 (-.f64 a z) (-.f64 y z))

Compiler

Compiled 7392 to 1404 computations (81% saved)

series2.4s (10.7%)

Error

2.3b

Counts

3 → 95

Calls

3 calls:

1.2s	(+.f64 x (/.f64 (-.f64 t x) (/.f64 (-.f64 a z) (-.f64 y z))))
762.0ms	(/.f64 (-.f64 t x) (/.f64 (-.f64 a z) (-.f64 y z)))
252.0ms	(/.f64 (-.f64 a z) (-.f64 y z))

Compiler

Compiled 7718 to 4118 computations (46.6% saved)

simplify891.0ms (4%)

Algorithm

1×	egg-herbie

Rules

451×	`associate-/r/_binary64_2070`
323×	`associate-/l*_binary64_2069`
253×	`associate-/l/_binary64_2071`
225×	`sub-neg_binary64_2117`
208×	`times-frac_binary64_2130`
198×	`associate-*l/_binary64_2067`
175×	`div-sub_binary64_2129`
169×	`distribute-rgt-in_binary64_2074`
164×	`distribute-lft-in_binary64_2073`
121×	`associate-/r*_binary64_2068`
111×	`+-commutative_binary64_2054`
104×	`associate-*r/_binary64_2066`
87×	`associate-l_binary64_2065`
76×	`associate-+r+_binary64_2056`
55×	`distribute-neg-in_binary64_2085`
54×	`*-commutative_binary64_2055`
51×	`neg-sub0_binary64_2119`
43×	`neg-mul-1_binary64_2120`
39×	`associate--l+_binary64_2061`
33×	`associate--r+_binary64_2060`
25×	`distribute-neg-frac_binary64_2088`
22×	`sqr-pow_binary64_2096`
17×	`distribute-rgt-neg-in_binary64_2082`
15×	`/-rgt-identity_binary64_2115`
14×	`cancel-sign-sub-inv_binary64_2090`
13×	`mul-1-neg_binary64_2116`
11×	`distribute-lft-neg-in_binary64_2081` `associate-r_binary64_2064`
10×	`pow-sqr_binary64_2097`
7×	`unpow3_binary64_2190`
6×	`difference-of-squares_binary64_2093`
5×	`cube-mult_binary64_2154`
4×	`log-div_binary64_2211` `cube-unmult_binary64_2161`
3×	`unpow2_binary64_2189` `pow-plus_binary64_2187` `cube-div_binary64_2153` `remove-double-div_binary64_2100` `unswap-sqr_binary64_2092` `distribute-lft-neg-out_binary64_2083` `distribute-rgt-out_binary64_2077`
2×	`log-prod_binary64_2210` `prod-exp_binary64_2173` `exp-diff_binary64_2172` `cube-prod_binary64_2152` `*-inverses_binary64_2104` `swap-sqr_binary64_2091` `distribute-rgt-out--_binary64_2078`
1×	`exp-prod_binary64_2176` `div-exp_binary64_2175` `rec-exp_binary64_2174` `exp-sum_binary64_2170` `1-exp_binary64_2168` `associate--r-_binary64_2063` `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` `log-pow_binary64_2213` `log-rec_binary64_2212` `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` `unpow1_binary64_2182` `unpow-1_binary64_2181` `exp-lft-cube_binary64_2180` `exp-lft-sqr_binary64_2179` `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-log-exp_binary64_2165` `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-sqrt-square_binary64_2137` `rem-square-sqrt_binary64_2136` `unsub-neg_binary64_2118` `-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` `mul0-rgt_binary64_2107` `mul0-lft_binary64_2106` `div0_binary64_2105` `+-inverses_binary64_2103` `lft-mult-inverse_binary64_2102` `rgt-mult-inverse_binary64_2101` `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-rgt-neg-out_binary64_2084` `distribute-rgt1-in_binary64_2080` `distribute-lft1-in_binary64_2079` `distribute-lft-out--_binary64_2076` `distribute-lft-out_binary64_2075` `count-2_binary64_2072` `associate--l-_binary64_2062` `associate-+l-_binary64_2059` `associate-+l+_binary64_2057`

Counts

369 → 767

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	613	12901
1	1763	12760

prune1.1s (4.9%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	757	10	767
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	759	10	769

Error

0.3b

Counts

769 → 10

Compiler

Compiled 23733 to 3363 computations (85.8% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

3.4b	(+.f64 x (*.f64 (/.f64 z (-.f64 a z)) x))
4.8b	(*.f64 (/.f64 t (-.f64 a z)) y)
6.1b	(*.f64 (/.f64 y (-.f64 a z)) x)
9.6b	(*.f64 (/.f64 t (-.f64 a z)) z)

rewrite230.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

0.3b

Rules

67×	`add-sqr-sqrt_binary64_2146`
63×	`associate-l_binary64_2065`
53×	`*-un-lft-identity_binary64_2124`
48×	`times-frac_binary64_2130`
34×	`add-cube-cbrt_binary64_2159`
19×	`add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`
10×	`pow1_binary64_2185`
9×	`difference-of-squares_binary64_2093` `distribute-lft-out--_binary64_2076` `associate-r_binary64_2064`
6×	`prod-exp_binary64_2173` `add-log-exp_binary64_2163` `cbrt-unprod_binary64_2157` `unswap-sqr_binary64_2092` `associate-/r/_binary64_2070`
3×	`pow-prod-down_binary64_2195` `div-exp_binary64_2175` `cbrt-undiv_binary64_2158` `associate-l/_binary64_2067` `div-inv_binary64_2121` `flip3--_binary64_2128` `flip--_binary64_2099` `-commutative_binary64_2055`
1×	`sum-log_binary64_2215` `flip3-+_binary64_2127` `flip-+_binary64_2098` `distribute-rgt1-in_binary64_2080` `distribute-rgt-out_binary64_2077` `+-commutative_binary64_2054`

Counts

4 → 133

Calls

4 calls:

13.0ms	(*.f64 (/.f64 t (-.f64 a z)) y)
11.0ms	(*.f64 (/.f64 t (-.f64 a z)) z)
10.0ms	(*.f64 (/.f64 y (-.f64 a z)) x)
3.0ms	(+.f64 x (*.f64 (/.f64 z (-.f64 a z)) x))

Compiler

Compiled 5527 to 769 computations (86.1% saved)

series946.0ms (4.2%)

Error

0.3b

Counts

4 → 66

Calls

4 calls:

262.0ms	(*.f64 (/.f64 t (-.f64 a z)) y)
245.0ms	(*.f64 (/.f64 y (-.f64 a z)) x)
210.0ms	(+.f64 x (*.f64 (/.f64 z (-.f64 a z)) x))
149.0ms	(*.f64 (/.f64 t (-.f64 a z)) z)

Compiler

Compiled 6183 to 2518 computations (59.3% saved)

simplify266.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

712×	`associate-/l*_binary64_2069`
683×	`associate-*r/_binary64_2066`
486×	`times-frac_binary64_2130`
262×	`associate-/r*_binary64_2068`
173×	`associate-l_binary64_2065`
154×	`associate-r_binary64_2064`
143×	`associate-*l/_binary64_2067`
136×	`*-commutative_binary64_2055`
134×	`associate-/r/_binary64_2070`
127×	`distribute-rgt-in_binary64_2074`
107×	`distribute-lft-in_binary64_2073`
61×	`cancel-sign-sub-inv_binary64_2090`
60×	`distribute-rgt-neg-in_binary64_2082`
54×	`sqr-pow_binary64_2096`
47×	`distribute-lft-neg-in_binary64_2081`
46×	`distribute-rgt-out_binary64_2077`
39×	`sub-neg_binary64_2117`
36×	`log-prod_binary64_2210`
35×	`exp-prod_binary64_2176` `neg-sub0_binary64_2119` `associate-/l/_binary64_2071`
33×	`cube-prod_binary64_2152` `distribute-neg-frac_binary64_2088`
32×	`+-commutative_binary64_2054`
29×	`neg-mul-1_binary64_2120`
27×	`swap-sqr_binary64_2091`
23×	`div-sub_binary64_2129`
21×	`distribute-lft-out_binary64_2075`
19×	`log-div_binary64_2211`
18×	`*-lft-identity_binary64_2113`
17×	`cube-div_binary64_2153` `pow-sqr_binary64_2097` `unswap-sqr_binary64_2092`
16×	`*-rgt-identity_binary64_2114`
14×	`associate-+l+_binary64_2057`
13×	`distribute-rgt-out--_binary64_2078` `associate-+r+_binary64_2056`
10×	`cube-unmult_binary64_2161` `distribute-lft-neg-out_binary64_2083`
9×	`distribute-neg-in_binary64_2085`
8×	`mul-1-neg_binary64_2116`
6×	`unpow3_binary64_2190` `pow-plus_binary64_2187` `cube-mult_binary64_2154` `unsub-neg_binary64_2118` `distribute-rgt1-in_binary64_2080`
4×	`exp-sum_binary64_2170` `associate-+l-_binary64_2059` `associate-+r-_binary64_2058`
3×	`distribute-rgt-neg-out_binary64_2084` `distribute-lft-out--_binary64_2076` `associate--r+_binary64_2060`
2×	`unpow2_binary64_2189` `unpow1_binary64_2182` `prod-exp_binary64_2173` `*-inverses_binary64_2104`
1×	`log-rec_binary64_2212` `exp-sqrt_binary64_2177` `1-exp_binary64_2168` `exp-1-e_binary64_2167` `rem-log-exp_binary64_2165` `/-rgt-identity_binary64_2115` `difference-of-squares_binary64_2093`
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` `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` `div-exp_binary64_2175` `rec-exp_binary64_2174` `exp-diff_binary64_2172` `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-sqrt-square_binary64_2137` `rem-square-sqrt_binary64_2136` `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_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-lft1-in_binary64_2079` `count-2_binary64_2072` `associate--r-_binary64_2063` `associate--l-_binary64_2062` `associate--l+_binary64_2061`

Counts

199 → 417

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	260	2904
1	663	2679
2	1959	2562

prune511.0ms (2.3%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	416	1	417
Fresh	0	9	9
Picked	0	1	1
Done	0	0	0
Total	416	11	427

Error

0.2b

Counts

427 → 11

Compiler

Compiled 17328 to 1842 computations (89.4% saved)

localize9.0ms (0%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (-.f64 y z) (-.f64 a z))
0.0b	(+.f64 x (*.f64 t (/.f64 (-.f64 y z) (-.f64 a z))))
1.5b	(*.f64 t (/.f64 (-.f64 y z) (-.f64 a z)))

rewrite142.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

Rules

76×	`add-sqr-sqrt_binary64_2146`
71×	`*-un-lft-identity_binary64_2124`
51×	`times-frac_binary64_2130`
31×	`associate-r_binary64_2064`
27×	`add-cube-cbrt_binary64_2159`
22×	`difference-of-squares_binary64_2093` `distribute-lft-out--_binary64_2076`
10×	`add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`
5×	`pow1_binary64_2185` `add-log-exp_binary64_2163` `associate-/l_binary64_2069` `associate-/r_binary64_2068`
4×	`associate-/r/_binary64_2070`
3×	`associate-l_binary64_2065` `flip3--_binary64_2128` `flip--_binary64_2099`
2×	`div-exp_binary64_2175` `prod-exp_binary64_2173` `cbrt-unprod_binary64_2157` `cbrt-undiv_binary64_2158` `unswap-sqr_binary64_2092` `div-inv_binary64_2121` `associate-/l/_binary64_2071`
1×	`pow-prod-down_binary64_2195` `associate-r/_binary64_2066` `-commutative_binary64_2055` `sum-log_binary64_2215` `flip3-+_binary64_2127` `flip-+_binary64_2098` `+-commutative_binary64_2054` `frac-2neg_binary64_2135` `div-sub_binary64_2129` `clear-num_binary64_2123`

Counts

3 → 113

Calls

3 calls:

16.0ms	(*.f64 t (/.f64 (-.f64 y z) (-.f64 a z)))
9.0ms	(/.f64 (-.f64 y z) (-.f64 a z))
3.0ms	(+.f64 x (*.f64 t (/.f64 (-.f64 y z) (-.f64 a z))))

Compiler

Compiled 2369 to 535 computations (77.4% saved)

series1.5s (6.7%)

Error

0.2b

Counts

3 → 98

Calls

3 calls:

698.0ms	(+.f64 x (*.f64 t (/.f64 (-.f64 y z) (-.f64 a z))))
418.0ms	(*.f64 t (/.f64 (-.f64 y z) (-.f64 a z)))
291.0ms	(/.f64 (-.f64 y z) (-.f64 a z))

Compiler

Compiled 5225 to 3153 computations (39.7% saved)

simplify638.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

465×	`sub-neg_binary64_2117`
445×	`distribute-rgt-in_binary64_2074`
219×	`associate--l+_binary64_2061`
205×	`associate-/l*_binary64_2069`
172×	`associate--r+_binary64_2060`
168×	`times-frac_binary64_2130` `+-commutative_binary64_2054`
151×	`associate-l_binary64_2065`
139×	`associate-r_binary64_2064`
129×	`associate-+l+_binary64_2057`
125×	`distribute-neg-frac_binary64_2088`
115×	`distribute-rgt-neg-in_binary64_2082`
99×	`distribute-lft-neg-in_binary64_2081`
91×	`associate-+r+_binary64_2056`
85×	`*-commutative_binary64_2055`
84×	`associate-*l/_binary64_2067`
82×	`div-sub_binary64_2129` `associate-/r*_binary64_2068`
77×	`associate-*r/_binary64_2066`
76×	`neg-sub0_binary64_2119`
74×	`associate-/l/_binary64_2071`
70×	`neg-mul-1_binary64_2120`
69×	`distribute-neg-in_binary64_2085`
63×	`unsub-neg_binary64_2118`
56×	`*-rgt-identity_binary64_2114`
53×	`associate-/r/_binary64_2070`
51×	`distribute-lft-in_binary64_2073`
49×	`distribute-rgt-out_binary64_2077`
43×	`sqr-pow_binary64_2096`
41×	`distribute-lft-neg-out_binary64_2083`
38×	`*-lft-identity_binary64_2113`
32×	`distribute-rgt-neg-out_binary64_2084`
30×	`/-rgt-identity_binary64_2115`
28×	`distribute-lft-out_binary64_2075`
21×	`unswap-sqr_binary64_2092`
18×	`distribute-rgt-out--_binary64_2078`
17×	`pow-sqr_binary64_2097` `cancel-sign-sub-inv_binary64_2090`
16×	`log-div_binary64_2211`
15×	`log-prod_binary64_2210` `cube-div_binary64_2153` `cube-prod_binary64_2152` `distribute-lft-out--_binary64_2076`
14×	`distribute-rgt1-in_binary64_2080`
12×	`exp-prod_binary64_2176`
10×	`prod-exp_binary64_2173`
9×	`unpow3_binary64_2190` `div-exp_binary64_2175`
8×	`difference-of-squares_binary64_2093`
7×	`mul-1-neg_binary64_2116` `swap-sqr_binary64_2091`
6×	`pow-plus_binary64_2187` `cube-mult_binary64_2154`
5×	`cube-unmult_binary64_2161`
4×	`exp-sum_binary64_2170`
3×	`log-rec_binary64_2212` `rec-exp_binary64_2174`
2×	`unpow2_binary64_2189` `unpow1_binary64_2182` `exp-diff_binary64_2172` `*-inverses_binary64_2104` `distribute-lft1-in_binary64_2079` `associate--r-_binary64_2063` `associate-+l-_binary64_2059` `associate-+r-_binary64_2058`
1×	`exp-sqrt_binary64_2177` `1-exp_binary64_2168` `exp-1-e_binary64_2167` `rem-log-exp_binary64_2165` `remove-double-neg_binary64_2112` `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` `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-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-sqrt-square_binary64_2137` `rem-square-sqrt_binary64_2136` `sub0-neg_binary64_2111` `--rgt-identity_binary64_2110` `+-rgt-identity_binary64_2109` `+-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` `difference-of-sqr-1_binary64_2094` `cancel-sign-sub_binary64_2089` `distribute-frac-neg_binary64_2087` `distribute-neg-out_binary64_2086` `count-2_binary64_2072` `associate--l-_binary64_2062`

Counts

211 → 342

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	351	5099
1	958	5015
2	3669	4412

prune356.0ms (1.6%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	341	1	342
Fresh	1	8	9
Picked	0	1	1
Done	0	1	1
Total	342	11	353

Error

0.2b

Counts

353 → 11

Compiler

Compiled 8827 to 1747 computations (80.2% saved)

localize11.0ms (0%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (-.f64 y z) (-.f64 t x))
0.0b	(/.f64 1 (-.f64 a z))
4.7b	(+.f64 x (.f64 (/.f64 1 (-.f64 a z)) (.f64 (-.f64 y z) (-.f64 t x))))
16.5b	(.f64 (/.f64 1 (-.f64 a z)) (.f64 (-.f64 y z) (-.f64 t x)))

rewrite263.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

Rules

55×	`add-sqr-sqrt_binary64_2146`
53×	`*-un-lft-identity_binary64_2124`
36×	`distribute-rgt-in_binary64_2074` `distribute-lft-in_binary64_2073`
35×	`add-cube-cbrt_binary64_2159`
32×	`add-exp-log_binary64_2162`
30×	`cancel-sign-sub-inv_binary64_2090` `times-frac_binary64_2130`
26×	`associate-l_binary64_2065`
20×	`add-cbrt-cube_binary64_2160` `flip3--_binary64_2128` `frac-times_binary64_2134` `flip--_binary64_2099`
16×	`associate-+r+_binary64_2056`
14×	`associate-*r/_binary64_2066`
13×	`prod-exp_binary64_2173`
12×	`pow1_binary64_2185`
10×	`sub-neg_binary64_2117`
9×	`difference-of-squares_binary64_2093` `distribute-lft-out--_binary64_2076`
7×	`cbrt-unprod_binary64_2157` `associate-*l/_binary64_2067`
6×	`div-exp_binary64_2175` `add-log-exp_binary64_2163` `associate-r_binary64_2064`
5×	`associate-/r*_binary64_2068`
4×	`pow-prod-down_binary64_2195` `associate-/r/_binary64_2070`
3×	`1-exp_binary64_2168` `rec-exp_binary64_2174` `cbrt-undiv_binary64_2158` `associate-/l*_binary64_2069`
2×	`div-inv_binary64_2121` `*-commutative_binary64_2055`
1×	`sum-log_binary64_2215` `flip3-+_binary64_2127` `flip-+_binary64_2098` `+-commutative_binary64_2054` `inv-pow_binary64_2209` `pow-flip_binary64_2198` `frac-2neg_binary64_2135` `clear-num_binary64_2123` `unswap-sqr_binary64_2092`

Counts

4 → 183

Calls

4 calls:

20.0ms	(.f64 (/.f64 1 (-.f64 a z)) (.f64 (-.f64 y z) (-.f64 t x)))
10.0ms	(*.f64 (-.f64 y z) (-.f64 t x))
10.0ms	(+.f64 x (.f64 (/.f64 1 (-.f64 a z)) (.f64 (-.f64 y z) (-.f64 t x))))
6.0ms	(/.f64 1 (-.f64 a z))

Compiler

Compiled 4749 to 1572 computations (66.9% saved)

series2.5s (11.2%)

Error

0.0b

Counts

4 → 114

Calls

4 calls:

1.2s	(+.f64 x (.f64 (/.f64 1 (-.f64 a z)) (.f64 (-.f64 y z) (-.f64 t x))))
784.0ms	(.f64 (/.f64 1 (-.f64 a z)) (.f64 (-.f64 y z) (-.f64 t x)))
287.0ms	(*.f64 (-.f64 y z) (-.f64 t x))
83.0ms	(/.f64 1 (-.f64 a z))

Compiler

Compiled 8474 to 4564 computations (46.1% saved)

simplify984.0ms (4.4%)

Algorithm

1×	egg-herbie

Rules

364×	`associate-r_binary64_2064`
330×	`associate-l_binary64_2065`
231×	`associate-+l+_binary64_2057`
222×	`distribute-rgt-in_binary64_2074`
208×	`distribute-lft-in_binary64_2073`
192×	`associate--l+_binary64_2061`
173×	`associate-/l*_binary64_2069`
170×	`associate--r+_binary64_2060`
134×	`sub-neg_binary64_2117`
127×	`*-commutative_binary64_2055`
125×	`times-frac_binary64_2130`
107×	`+-commutative_binary64_2054`
105×	`associate-*l/_binary64_2067`
78×	`associate-/r/_binary64_2070`
73×	`associate-+r+_binary64_2056`
63×	`associate-/r*_binary64_2068`
52×	`neg-sub0_binary64_2119`
47×	`associate-*r/_binary64_2066`
45×	`distribute-neg-in_binary64_2085`
44×	`neg-mul-1_binary64_2120`
33×	`associate-/l/_binary64_2071`
32×	`distribute-rgt-neg-in_binary64_2082`
31×	`cancel-sign-sub-inv_binary64_2090`
24×	`sqr-pow_binary64_2096`
22×	`distribute-neg-frac_binary64_2088`
20×	`div-sub_binary64_2129`
19×	`distribute-lft-neg-in_binary64_2081`
15×	`*-lft-identity_binary64_2113` `distribute-lft-neg-out_binary64_2083`
12×	`mul-1-neg_binary64_2116`
11×	`difference-of-squares_binary64_2093`
10×	`pow-sqr_binary64_2097` `distribute-rgt-neg-out_binary64_2084`
9×	`exp-prod_binary64_2176` `*-rgt-identity_binary64_2114` `swap-sqr_binary64_2091`
8×	`log-prod_binary64_2210` `unpow3_binary64_2190`
7×	`/-rgt-identity_binary64_2115`
6×	`cube-mult_binary64_2154`
5×	`cube-unmult_binary64_2161` `cube-prod_binary64_2152`
4×	`log-div_binary64_2211` `associate-+l-_binary64_2059`
3×	`distribute-rgt-out_binary64_2077`
2×	`log-rec_binary64_2212` `unpow2_binary64_2189` `pow-plus_binary64_2187` `prod-exp_binary64_2173` `cube-div_binary64_2153` `distribute-rgt-out--_binary64_2078` `associate-+r-_binary64_2058`
1×	`div-exp_binary64_2175` `rec-exp_binary64_2174` `exp-diff_binary64_2172` `exp-sum_binary64_2170` `1-exp_binary64_2168` `rem-log-exp_binary64_2165` `rem-3cbrt-lft_binary64_2149` `rem-sqrt-square_binary64_2137` `rem-square-sqrt_binary64_2136` `unsub-neg_binary64_2118` `sub0-neg_binary64_2111` `*-inverses_binary64_2104` `associate--r-_binary64_2063`
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` `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` `unpow1_binary64_2182` `unpow-1_binary64_2181` `exp-lft-cube_binary64_2180` `exp-lft-sqr_binary64_2179` `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-cbrt-cube_binary64_2148` `rem-cube-cbrt_binary64_2147` `sqr-abs_binary64_2139` `sqr-neg_binary64_2138` `remove-double-neg_binary64_2112` `--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_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` `unswap-sqr_binary64_2092` `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` `distribute-lft-out_binary64_2075` `count-2_binary64_2072` `associate--l-_binary64_2062`

Counts

297 → 571

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	501	8212
1	1397	7917

prune633.0ms (2.8%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	569	2	571
Fresh	2	6	8
Picked	1	0	1
Done	0	2	2
Total	572	10	582

Error

0.2b

Counts

582 → 10

Compiler

Compiled 16515 to 3337 computations (79.8% saved)

regimes3.4s (15.3%)

Accuracy

Total 4.0b remaining (99.2%)

Threshold costs 0b (0%)

Compiler

Compiled 21624 to 14250 computations (34.1% saved)

bsearch9.0ms (0%)

Compiler: Compiled 13 to 11 computations (15.4% saved)

simplify15.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

25×	`+-commutative_binary64_2054`
18×	`sub-neg_binary64_2117` `*-commutative_binary64_2055`
13×	`neg-mul-1_binary64_2120` `neg-sub0_binary64_2119`
6×	`distribute-rgt-neg-in_binary64_2082` `distribute-lft-neg-in_binary64_2081`
4×	`unsub-neg_binary64_2118` `distribute-neg-in_binary64_2085`
3×	`distribute-neg-frac_binary64_2088`
1×	`if-if-or-not_binary64_2382`
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_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` `1-exp_binary64_2168` `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-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	40	142
1	64	142
2	83	142
3	106	142
4	134	142
5	150	142
6	161	142
7	166	142
8	167	142

Proof

(=> (if real (<= f64 (+ f64 h0 (* f64 (- f64 h1 h2) (/ f64 (- f64 h3 h0) (- f64 h4 h2)))) -455627373199379/719077253944926363091722076315609893447190791576922629093720324630930703222003852530833909289630144084480455519485573430635159075257666489971389722557896497511071573699461941105208878404984376477812331808340023075352602729369851525895652442163308948653402042738345192959788983753918865219341425318496896548864) (+ f64 h0 (/ f64 (- f64 h3 h0) (- f64 (/ f64 h4 (- f64 h1 h2)) (/ f64 h2 (- f64 h1 h2))))) (if real (<= f64 (+ f64 h0 (* f64 (- f64 h1 h2) (/ f64 (- f64 h3 h0) (- f64 h4 h2)))) 0) (- f64 (+ f64 (* f64 (/ f64 h1 (/ f64 h2 h0)) (/ f64 h4 h2)) (+ f64 h3 (+ f64 (/ f64 h1 (/ f64 h2 h0)) (/ f64 h3 (/ f64 h2 h4))))) (+ f64 (* f64 (/ f64 h4 h2) h0) (+ f64 (* f64 (/ f64 h3 h2) h1) (* f64 (* f64 (/ f64 h3 h2) h1) (/ f64 h4 h2))))) (+ f64 h0 (/ f64 (- f64 h3 h0) (- f64 (/ f64 h4 (- f64 h1 h2)) (/ f64 h2 (- f64 h1 h2))))))))
if-if-or-not_binary64_2382 =>
(if real (or real (<= f64 (+ f64 h0 (* f64 (- f64 h1 h2) (/ f64 (- f64 h3 h0) (- f64 h4 h2)))) -455627373199379/719077253944926363091722076315609893447190791576922629093720324630930703222003852530833909289630144084480455519485573430635159075257666489971389722557896497511071573699461941105208878404984376477812331808340023075352602729369851525895652442163308948653402042738345192959788983753918865219341425318496896548864) (not real (<= f64 (+ f64 h0 (* f64 (- f64 h1 h2) (/ f64 (- f64 h3 h0) (- f64 h4 h2)))) 0))) (+ f64 h0 (/ f64 (- f64 h3 h0) (- f64 (/ f64 h4 (- f64 h1 h2)) (/ f64 h2 (- f64 h1 h2))))) (- f64 (+ f64 (* f64 (/ f64 h1 (/ f64 h2 h0)) (/ f64 h4 h2)) (+ f64 h3 (+ f64 (/ f64 h1 (/ f64 h2 h0)) (/ f64 h3 (/ f64 h2 h4))))) (+ f64 (* f64 (/ f64 h4 h2) h0) (+ f64 (* f64 (/ f64 h3 h2) h1) (=> (* f64 (* f64 (/ f64 h3 h2) h1) (/ f64 h4 h2)))))))
*-commutative_binary64_2055 =>
(if real (or real (<= f64 (+ f64 h0 (* f64 (- f64 h1 h2) (/ f64 (- f64 h3 h0) (- f64 h4 h2)))) -455627373199379/719077253944926363091722076315609893447190791576922629093720324630930703222003852530833909289630144084480455519485573430635159075257666489971389722557896497511071573699461941105208878404984376477812331808340023075352602729369851525895652442163308948653402042738345192959788983753918865219341425318496896548864) (not real (<= f64 (+ f64 h0 (* f64 (- f64 h1 h2) (/ f64 (- f64 h3 h0) (- f64 h4 h2)))) 0))) (+ f64 h0 (/ f64 (- f64 h3 h0) (- f64 (/ f64 h4 (- f64 h1 h2)) (/ f64 h2 (- f64 h1 h2))))) (- f64 (+ f64 (* f64 (/ f64 h1 (/ f64 h2 h0)) (/ f64 h4 h2)) (+ f64 h3 (+ f64 (/ f64 h1 (/ f64 h2 h0)) (/ f64 h3 (/ f64 h2 h4))))) (+ f64 (=> (* f64 (/ f64 h4 h2) h0)) (+ f64 (* f64 (/ f64 h3 h2) h1) (* f64 (/ f64 h4 h2) (* f64 (/ f64 h3 h2) h1))))))
*-commutative_binary64_2055 =>
(if real (or real (<= f64 (+ f64 h0 (* f64 (- f64 h1 h2) (/ f64 (- f64 h3 h0) (- f64 h4 h2)))) -455627373199379/719077253944926363091722076315609893447190791576922629093720324630930703222003852530833909289630144084480455519485573430635159075257666489971389722557896497511071573699461941105208878404984376477812331808340023075352602729369851525895652442163308948653402042738345192959788983753918865219341425318496896548864) (not real (<= f64 (+ f64 h0 (* f64 (- f64 h1 h2) (/ f64 (- f64 h3 h0) (- f64 h4 h2)))) 0))) (+ f64 h0 (/ f64 (- f64 h3 h0) (- f64 (/ f64 h4 (- f64 h1 h2)) (/ f64 h2 (- f64 h1 h2))))) (- f64 (+ f64 (* f64 (/ f64 h1 (/ f64 h2 h0)) (/ f64 h4 h2)) (+ f64 h3 (+ f64 (/ f64 h1 (/ f64 h2 h0)) (/ f64 h3 (/ f64 h2 h4))))) (+ f64 (* f64 h0 (/ f64 h4 h2)) (+ f64 (* f64 (/ f64 h3 h2) h1) (* f64 (/ f64 h4 h2) (=> (* f64 (/ f64 h3 h2) h1)))))))
*-commutative_binary64_2055 =>
(if real (or real (<= f64 (+ f64 h0 (* f64 (- f64 h1 h2) (/ f64 (- f64 h3 h0) (- f64 h4 h2)))) -455627373199379/719077253944926363091722076315609893447190791576922629093720324630930703222003852530833909289630144084480455519485573430635159075257666489971389722557896497511071573699461941105208878404984376477812331808340023075352602729369851525895652442163308948653402042738345192959788983753918865219341425318496896548864) (not real (<= f64 (+ f64 h0 (* f64 (- f64 h1 h2) (/ f64 (- f64 h3 h0) (- f64 h4 h2)))) 0))) (+ f64 h0 (/ f64 (- f64 h3 h0) (- f64 (/ f64 h4 (- f64 h1 h2)) (/ f64 h2 (- f64 h1 h2))))) (- f64 (+ f64 (* f64 (/ f64 h1 (/ f64 h2 h0)) (/ f64 h4 h2)) (+ f64 h3 (+ f64 (/ f64 h1 (/ f64 h2 h0)) (/ f64 h3 (/ f64 h2 h4))))) (+ f64 (* f64 h0 (/ f64 h4 h2)) (+ f64 (=> (* f64 (/ f64 h3 h2) h1)) (* f64 (/ f64 h4 h2) (* f64 h1 (/ f64 h3 h2)))))))
*-commutative_binary64_2055 =>
(if real (or real (<= f64 (+ f64 h0 (* f64 (- f64 h1 h2) (/ f64 (- f64 h3 h0) (- f64 h4 h2)))) -455627373199379/719077253944926363091722076315609893447190791576922629093720324630930703222003852530833909289630144084480455519485573430635159075257666489971389722557896497511071573699461941105208878404984376477812331808340023075352602729369851525895652442163308948653402042738345192959788983753918865219341425318496896548864) (not real (<= f64 (+ f64 h0 (* f64 (- f64 h1 h2) (/ f64 (- f64 h3 h0) (- f64 h4 h2)))) 0))) (+ f64 h0 (/ f64 (- f64 h3 h0) (- f64 (/ f64 h4 (- f64 h1 h2)) (/ f64 h2 (- f64 h1 h2))))) (- f64 (+ f64 (* f64 (/ f64 h1 (/ f64 h2 h0)) (/ f64 h4 h2)) (+ f64 h3 (+ f64 (/ f64 h1 (/ f64 h2 h0)) (/ f64 h3 (/ f64 h2 h4))))) (+ f64 (* f64 h0 (/ f64 h4 h2)) (+ f64 (* f64 h1 (/ f64 h3 h2)) (* f64 (/ f64 h4 h2) (* f64 h1 (/ f64 h3 h2)))))))

end0.0ms (0%)

sample3.3s (14.6%)

Algorithm

1×

intervals

Results

277.0ms	6694×	body	128	valid
53.0ms	521×	body	512	valid
52.0ms	354×	body	1024	valid
45.0ms	1222×	body	128	invalid
26.0ms	366×	body	256	valid
11.0ms	65×	body	2048	valid

Compiler

Compiled 3707 to 2419 computations (34.7% saved)

Iter	Nodes	Cost
0	40	142
1	64	142
2	83	142
3	106	142
4	134	142
5	150	142
6	161	142
7	166	142
8	167	142

Iter	Nodes	Cost
0	40	142
1	64	142
2	83	142
3	106	142
4	134	142
5	150	142
6	161	142
7	166	142
8	167	142

Details

analyze1.0s (4.5%)

sample31.0ms (0.1%)

simplify791.0ms (3.5%)

prune4.0ms (0%)

localize9.0ms (0%)

rewrite453.0ms (2%)

series2.4s (10.7%)

simplify891.0ms (4%)

prune1.1s (4.9%)

localize16.0ms (0.1%)

rewrite230.0ms (1%)

series946.0ms (4.2%)

simplify266.0ms (1.2%)

prune511.0ms (2.3%)

localize9.0ms (0%)

rewrite142.0ms (0.6%)

series1.5s (6.7%)

simplify638.0ms (2.8%)

prune356.0ms (1.6%)

localize11.0ms (0%)

rewrite263.0ms (1.2%)

series2.5s (11.2%)

simplify984.0ms (4.4%)

prune633.0ms (2.8%)

regimes3.4s (15.3%)

bsearch9.0ms (0%)

simplify15.0ms (0.1%)

end0.0ms (0%)

sample3.3s (14.6%)

Profiling

Iter	Nodes	Cost
0	40	142
1	64	142
2	83	142
3	106	142
4	134	142
5	150	142
6	161	142
7	166	142
8	167	142