Details

analyze444.0ms (2.5%)

Algorithm

1×	search
2×	egg-herbie

Rules

200×	`cancel-sign-sub-inv_binary64_2090`
163×	`sub-neg_binary64_2117`
156×	`distribute-rgt-in_binary64_2074`
154×	`associate--r+_binary64_2060`
94×	`associate-+l-_binary64_2059`
80×	`unsub-neg_binary64_2118`
61×	`distribute-neg-in_binary64_2085`
56×	`associate--l+_binary64_2061` `+-commutative_binary64_2054`
51×	`distribute-rgt-neg-in_binary64_2082`
49×	`neg-mul-1_binary64_2120`
47×	`distribute-lft-neg-out_binary64_2083`
40×	`distribute-lft-in_binary64_2073` `associate-+r+_binary64_2056` `*-commutative_binary64_2055`
39×	`associate-l_binary64_2065`
38×	`neg-sub0_binary64_2119`
36×	`associate-+l+_binary64_2057`
34×	`distribute-rgt-neg-out_binary64_2084`
32×	`associate-r_binary64_2064`
24×	`associate--r-_binary64_2063`
23×	`sub0-neg_binary64_2111`
21×	`distribute-lft-neg-in_binary64_2081`
14×	`*-lft-identity_binary64_2113`
13×	`*-rgt-identity_binary64_2114`
12×	`+-lft-identity_binary64_2108` `mul0-rgt_binary64_2107` `mul0-lft_binary64_2106` `distribute-rgt-out--_binary64_2078` `associate-+r-_binary64_2058`
10×	`remove-double-neg_binary64_2112` `+-rgt-identity_binary64_2109`
8×	`distribute-lft-out--_binary64_2076`
6×	`sin-neg_binary64_2254`
4×	`associate--l-_binary64_2062`
3×	`cos-neg_binary64_2255` `--rgt-identity_binary64_2110`
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` `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` `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-unmult_binary64_2161` `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` `sqr-neg_binary64_2138` `rem-sqrt-square_binary64_2137` `rem-square-sqrt_binary64_2136` `times-frac_binary64_2130` `div-sub_binary64_2129` `mul-1-neg_binary64_2116` `/-rgt-identity_binary64_2115` `div0_binary64_2105` `-inverses_binary64_2104` `+-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_2095` `difference-of-sqr-1_binary64_2094` `difference-of-squares_binary64_2093` `unswap-sqr_binary64_2092` `swap-sqr_binary64_2091` `cancel-sign-sub_binary64_2089` `distribute-neg-frac_binary64_2088` `distribute-frac-neg_binary64_2087` `distribute-neg-out_binary64_2086` `distribute-rgt1-in_binary64_2080` `distribute-lft1-in_binary64_2079` `distribute-rgt-out_binary64_2077` `distribute-lft-out_binary64_2075` `count-2_binary64_2072` `associate-/l/_binary64_2071` `associate-/r/_binary64_2070` `associate-/l_binary64_2069` `associate-/r_binary64_2068` `associate-l/_binary64_2067` `associate-*r/_binary64_2066`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	56
1	57	56
2	112	56
3	185	56
4	264	56
5	454	56
6	672	56
7	802	56
8	832	56
9	804	56
10	765	56
0	3	3
1	3	3

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
31.2%	68.6%	0.1%	6
43.7%	56.2%	0.1%	7
59.3%	40.6%	0.1%	8
59.3%	40.6%	0.1%	9
68.6%	31.2%	0.1%	10
78%	21.8%	0.1%	11
78%	21.8%	0.1%	12
83.5%	16.4%	0.1%	13
88.5%	11.3%	0.1%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample37.0ms (0.2%)

Algorithm

1×

intervals

Results

11.0ms	189×	body	128	valid
9.0ms	35×	body	1024	valid
4.0ms	23×	body	512	valid
1.0ms	9×	body	256	valid

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify19.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

66×	`cancel-sign-sub-inv_binary64_2090`
46×	`sub-neg_binary64_2117`
44×	`distribute-rgt-in_binary64_2074` `associate--r+_binary64_2060`
35×	`unsub-neg_binary64_2118`
24×	`neg-mul-1_binary64_2120`
21×	`associate-+l-_binary64_2059`
20×	`distribute-rgt-neg-in_binary64_2082`
18×	`neg-sub0_binary64_2119`
17×	`+-commutative_binary64_2054`
16×	`distribute-neg-in_binary64_2085` `distribute-lft-in_binary64_2073` `associate--l+_binary64_2061`
15×	`distribute-lft-neg-out_binary64_2083` `associate-+l+_binary64_2057`
11×	`*-commutative_binary64_2055`
10×	`associate-+r+_binary64_2056`
9×	`sub0-neg_binary64_2111` `+-lft-identity_binary64_2108` `distribute-rgt-neg-out_binary64_2084` `associate--r-_binary64_2063`
8×	`*-lft-identity_binary64_2113` `distribute-lft-neg-in_binary64_2081`
5×	`*-rgt-identity_binary64_2114` `remove-double-neg_binary64_2112`
4×	`mul0-rgt_binary64_2107` `mul0-lft_binary64_2106` `associate-+r-_binary64_2058`
3×	`--rgt-identity_binary64_2110` `+-rgt-identity_binary64_2109`
2×	`associate-l_binary64_2065`
1×	`1-exp_binary64_2168` `cancel-sign-sub_binary64_2089` `associate-r_binary64_2064`
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-unmult_binary64_2161` `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` `sqr-neg_binary64_2138` `rem-sqrt-square_binary64_2137` `rem-square-sqrt_binary64_2136` `times-frac_binary64_2130` `div-sub_binary64_2129` `mul-1-neg_binary64_2116` `/-rgt-identity_binary64_2115` `div0_binary64_2105` `-inverses_binary64_2104` `+-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_2095` `difference-of-sqr-1_binary64_2094` `difference-of-squares_binary64_2093` `unswap-sqr_binary64_2092` `swap-sqr_binary64_2091` `distribute-neg-frac_binary64_2088` `distribute-frac-neg_binary64_2087` `distribute-neg-out_binary64_2086` `distribute-rgt1-in_binary64_2080` `distribute-lft1-in_binary64_2079` `distribute-rgt-out--_binary64_2078` `distribute-rgt-out_binary64_2077` `distribute-lft-out--_binary64_2076` `distribute-lft-out_binary64_2075` `count-2_binary64_2072` `associate-/l/_binary64_2071` `associate-/r/_binary64_2070` `associate-/l_binary64_2069` `associate-/r_binary64_2068` `associate-l/_binary64_2067` `associate-*r/_binary64_2066` `associate--l-_binary64_2062`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	14
1	18	14
2	34	14
3	54	14
4	77	14
5	121	14
6	199	14
7	212	14
8	265	14
9	262	14
10	250	14
11	227	14

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

0.0b

Counts

1 → 1

Compiler

Compiled 9 to 8 computations (11.1% saved)

localize8.0ms (0%)

Local error

Found 2 expressions with local error:

0.0b	(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
0.1b	(*.f64 z (sin.f64 y))

rewrite44.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

7×	`add-log-exp_binary64_2163`
6×	`add-sqr-sqrt_binary64_2146`
4×	`pow1_binary64_2185` `add-exp-log_binary64_2162` `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×	`diff-log_binary64_2216`
1×	`pow-prod-down_binary64_2195` `prod-exp_binary64_2173` `cbrt-unprod_binary64_2157` `unswap-sqr_binary64_2092` `*-commutative_binary64_2055` `sum-log_binary64_2215` `flip3--_binary64_2128` `sub-neg_binary64_2117` `flip--_binary64_2099` `cancel-sign-sub-inv_binary64_2090` `associate--l+_binary64_2061`

Counts

2 → 32

Calls

2 calls:

7.0ms	(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
5.0ms	(*.f64 z (sin.f64 y))

Compiler

Compiled 508 to 120 computations (76.4% saved)

series397.0ms (2.2%)

Error

0.0b

Counts

2 → 24

Calls

2 calls:

281.0ms	(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
99.0ms	(*.f64 z (sin.f64 y))

Compiler

Compiled 540 to 358 computations (33.7% saved)

simplify87.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

434×	`distribute-rgt-neg-in_binary64_2082`
375×	`distribute-lft-neg-in_binary64_2081`
368×	`times-frac_binary64_2130`
281×	`associate-l_binary64_2065`
268×	`cancel-sign-sub-inv_binary64_2090`
237×	`sub-neg_binary64_2117`
231×	`associate-r_binary64_2064`
209×	`distribute-rgt-in_binary64_2074`
208×	`distribute-lft-in_binary64_2073`
201×	`+-commutative_binary64_2054`
187×	`neg-mul-1_binary64_2120`
184×	`neg-sub0_binary64_2119`
168×	`unsub-neg_binary64_2118`
167×	`distribute-rgt-neg-out_binary64_2084`
157×	`distribute-lft-neg-out_binary64_2083`
115×	`distribute-neg-in_binary64_2085`
86×	`sqr-pow_binary64_2096`
84×	`*-commutative_binary64_2055`
83×	`associate-+l+_binary64_2057`
76×	`unswap-sqr_binary64_2092`
69×	`associate--l+_binary64_2061`
64×	`exp-sum_binary64_2170`
61×	`associate-+r+_binary64_2056`
56×	`exp-prod_binary64_2176`
50×	`associate-+l-_binary64_2059`
43×	`distribute-rgt-out_binary64_2077`
32×	`distribute-neg-out_binary64_2086` `associate-+r-_binary64_2058`
31×	`*-lft-identity_binary64_2113`
30×	`associate--r+_binary64_2060`
28×	`exp-diff_binary64_2172` `cube-prod_binary64_2152`
27×	`difference-of-squares_binary64_2093`
26×	`sub0-neg_binary64_2111`
24×	`*-rgt-identity_binary64_2114`
23×	`+-rgt-identity_binary64_2109`
20×	`distribute-lft-out_binary64_2075`
19×	`cube-unmult_binary64_2161`
18×	`pow-sqr_binary64_2097`
17×	`distribute-rgt-out--_binary64_2078`
15×	`unpow3_binary64_2190` `swap-sqr_binary64_2091`
13×	`associate-/r*_binary64_2068`
12×	`log-prod_binary64_2210` `associate-/l*_binary64_2069`
11×	`rem-sqrt-square_binary64_2137`
9×	`distribute-lft-out--_binary64_2076`
8×	`unpow1/2_binary64_2188` `pow-plus_binary64_2187`
7×	`sqr-neg_binary64_2138` `mul0-rgt_binary64_2107` `mul0-lft_binary64_2106`
5×	`div-exp_binary64_2175` `div-sub_binary64_2129` `remove-double-neg_binary64_2112` `cancel-sign-sub_binary64_2089` `associate--l-_binary64_2062`
4×	`cube-neg_binary64_2151`
3×	`cube-mult_binary64_2154` `mul-1-neg_binary64_2116` `--rgt-identity_binary64_2110` `distribute-frac-neg_binary64_2087` `distribute-rgt1-in_binary64_2080` `associate-/r/_binary64_2070` `associate-l/_binary64_2067` `associate-r/_binary64_2066`
1×	`cos-neg_binary64_2255` `sin-neg_binary64_2254` `unpow2_binary64_2189` `unpow1_binary64_2182` `prod-exp_binary64_2173` `exp-neg_binary64_2171` `1-exp_binary64_2168` `exp-1-e_binary64_2167` `distribute-lft1-in_binary64_2079` `count-2_binary64_2072` `associate-/l/_binary64_2071` `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` `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` `pow-base-0_binary64_2208` `unpow1/3_binary64_2191` `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` `rec-exp_binary64_2174` `e-exp-1_binary64_2169` `exp-0_binary64_2166` `rem-log-exp_binary64_2165` `rem-exp-log_binary64_2164` `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-square-sqrt_binary64_2136` `/-rgt-identity_binary64_2115` `+-lft-identity_binary64_2108` `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` `distribute-neg-frac_binary64_2088`

Counts

56 → 28

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	81	707
1	192	678
2	611	672
3	2000	672
4	3013	672
5	4692	672
6	5215	672

prune23.0ms (0.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	26	2	28
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	26	3	29

Error

0.0b

Counts

29 → 3

Compiler

Compiled 409 to 93 computations (77.3% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.4b	(.f64 (cbrt.f64 (+.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) x)) (cbrt.f64 (+.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x)))
0.5b	(cbrt.f64 (+.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x))
0.5b	(cbrt.f64 (+.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x))
0.5b	(cbrt.f64 (+.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x))

rewrite188.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

36×	`cbrt-prod_binary64_2155`
35×	`*-un-lft-identity_binary64_2124`
23×	`add-sqr-sqrt_binary64_2146`
18×	`cbrt-div_binary64_2156`
15×	`add-cube-cbrt_binary64_2159`
11×	`pow1_binary64_2185`
9×	`pow1/3_binary64_2206` `flip3-+_binary64_2127` `flip-+_binary64_2098` `distribute-lft-out_binary64_2075` `swap-sqr_binary64_2091`
7×	`associate-l_binary64_2065` `associate-r_binary64_2064`
6×	`add-exp-log_binary64_2162`
4×	`add-log-exp_binary64_2163` `add-cbrt-cube_binary64_2160` `frac-times_binary64_2134` `unswap-sqr_binary64_2092`
2×	`pow-prod-down_binary64_2195` `pow-prod-up_binary64_2194` `pow-sqr_binary64_2097` `associate-l/_binary64_2067` `associate-r/_binary64_2066`
1×	`pow2_binary64_2205` `pow-plus_binary64_2187` `prod-exp_binary64_2173` `cbrt-unprod_binary64_2157` `*-commutative_binary64_2055`

Counts

4 → 95

Calls

4 calls:

16.0ms	(.f64 (cbrt.f64 (+.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) x)) (cbrt.f64 (+.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x)))
6.0ms	(cbrt.f64 (+.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x))
6.0ms	(cbrt.f64 (+.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x))
6.0ms	(cbrt.f64 (+.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x))

Compiler

Compiled 4413 to 386 computations (91.3% saved)

series4.8s (26.9%)

Error

0.0b

Counts

4 → 87

Calls

4 calls:

2.0s	(.f64 (cbrt.f64 (+.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) x)) (cbrt.f64 (+.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x)))
835.0ms	(cbrt.f64 (+.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x))
814.0ms	(cbrt.f64 (+.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x))
803.0ms	(cbrt.f64 (+.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x))

Compiler

Compiled 15880 to 9192 computations (42.1% saved)

simplify183.0ms (1%)

Algorithm

1×	egg-herbie

Rules

795×	`associate-r_binary64_2064`
582×	`associate-l_binary64_2065`
350×	`times-frac_binary64_2130`
254×	`associate-/r*_binary64_2068`
220×	`associate-/l*_binary64_2069`
198×	`*-commutative_binary64_2055`
108×	`cancel-sign-sub-inv_binary64_2090`
104×	`sqr-pow_binary64_2096`
100×	`associate-l/_binary64_2067` `associate-r/_binary64_2066`
86×	`sub-neg_binary64_2117`
81×	`+-commutative_binary64_2054`
52×	`associate-+r+_binary64_2056`
49×	`distribute-neg-in_binary64_2085`
38×	`unswap-sqr_binary64_2092`
37×	`neg-mul-1_binary64_2120` `neg-sub0_binary64_2119`
34×	`distribute-rgt-neg-in_binary64_2082` `distribute-rgt-out_binary64_2077`
31×	`distribute-lft-neg-in_binary64_2081`
27×	`unpow1/3_binary64_2191`
25×	`associate-/r/_binary64_2070`
24×	`distribute-rgt-in_binary64_2074`
20×	`distribute-lft-in_binary64_2073`
18×	`associate--r+_binary64_2060`
14×	`exp-prod_binary64_2176`
11×	`associate--l+_binary64_2061`
9×	`unpow2_binary64_2189` `unpow1_binary64_2182` `distribute-lft-out_binary64_2075`
7×	`log-prod_binary64_2210`
5×	`unpow3_binary64_2190` `cube-mult_binary64_2154`
4×	`cube-unmult_binary64_2161` `distribute-lft-neg-out_binary64_2083`
3×	`log-div_binary64_2211` `distribute-rgt-out--_binary64_2078`
2×	`rem-3cbrt-lft_binary64_2149` `rem-sqrt-square_binary64_2137` `swap-sqr_binary64_2091` `distribute-rgt-neg-out_binary64_2084` `distribute-lft-out--_binary64_2076`
1×	`log-pow_binary64_2213` `log-rec_binary64_2212` `1-exp_binary64_2168` `rem-3cbrt-rft_binary64_2150` `rem-square-sqrt_binary64_2136` `*-rgt-identity_binary64_2114` `remove-double-neg_binary64_2112` `difference-of-squares_binary64_2093` `distribute-lft1-in_binary64_2079` `count-2_binary64_2072` `associate--l-_binary64_2062` `associate-+l-_binary64_2059` `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` `unpow1/2_binary64_2188` `pow-plus_binary64_2187` `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` `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-div_binary64_2153` `cube-prod_binary64_2152` `cube-neg_binary64_2151` `rem-cbrt-cube_binary64_2148` `rem-cube-cbrt_binary64_2147` `sqr-abs_binary64_2139` `sqr-neg_binary64_2138` `div-sub_binary64_2129` `unsub-neg_binary64_2118` `mul-1-neg_binary64_2116` `/-rgt-identity_binary64_2115` `-lft-identity_binary64_2113` `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` `pow-sqr_binary64_2097` `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-rgt1-in_binary64_2080` `associate-/l/_binary64_2071` `associate--r-_binary64_2063` `associate-+l+_binary64_2057`

Counts

182 → 163

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	506	10795
1	1627	10006
2	5925	10006

prune369.0ms (2.1%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	160	3	163
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	160	6	166

Error

0.0b

Counts

166 → 6

Compiler

Compiled 9440 to 2589 computations (72.6% saved)

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))
0.5b	(cbrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))
0.5b	(cbrt.f64 (+.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x))
0.5b	(cbrt.f64 (+.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x))

rewrite139.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

16×	`cbrt-prod_binary64_2155` `*-un-lft-identity_binary64_2124`
8×	`add-cube-cbrt_binary64_2159` `cbrt-div_binary64_2156` `add-sqr-sqrt_binary64_2146`
4×	`pow1/3_binary64_2206` `pow1_binary64_2185` `add-log-exp_binary64_2163` `add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160` `flip3-+_binary64_2127` `flip-+_binary64_2098` `distribute-lft-out_binary64_2075`

Counts

4 → 56

Calls

4 calls:

7.0ms	(cbrt.f64 (+.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x))
5.0ms	(cbrt.f64 (+.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x))
5.0ms	(cbrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))
5.0ms	(cbrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))

Compiler

Compiled 3812 to 295 computations (92.3% saved)

series3.6s (19.9%)

Error

0.0b

Counts

4 → 84

Calls

4 calls:

827.0ms	(cbrt.f64 (+.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x))
823.0ms	(cbrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))
810.0ms	(cbrt.f64 (+.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x))
801.0ms	(cbrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))

Compiler

Compiled 18212 to 7926 computations (56.5% saved)

simplify192.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

339×	`neg-mul-1_binary64_2120`
316×	`cancel-sign-sub-inv_binary64_2090`
189×	`distribute-rgt-in_binary64_2074`
188×	`distribute-rgt-neg-in_binary64_2082`
176×	`distribute-lft-neg-in_binary64_2081`
173×	`unswap-sqr_binary64_2092`
168×	`times-frac_binary64_2130`
158×	`distribute-lft-in_binary64_2073`
154×	`associate-r_binary64_2064`
149×	`associate-/l/_binary64_2071`
121×	`associate-/r*_binary64_2068`
109×	`sub-neg_binary64_2117`
104×	`*-commutative_binary64_2055`
100×	`sqr-pow_binary64_2096` `associate-/l_binary64_2069` `associate-l*_binary64_2065`
97×	`distribute-neg-in_binary64_2085`
80×	`+-commutative_binary64_2054`
75×	`distribute-neg-frac_binary64_2088`
60×	`neg-sub0_binary64_2119`
54×	`associate-+r+_binary64_2056`
52×	`exp-sum_binary64_2170`
44×	`associate-l/_binary64_2067` `associate-r/_binary64_2066`
39×	`associate-+l+_binary64_2057`
32×	`distribute-rgt-out_binary64_2077`
31×	`log-prod_binary64_2210`
29×	`exp-prod_binary64_2176` `distribute-lft-out_binary64_2075`
26×	`distribute-lft-neg-out_binary64_2083`
24×	`div-sub_binary64_2129` `associate--r+_binary64_2060`
22×	`unsub-neg_binary64_2118`
16×	`unpow1/3_binary64_2191`
14×	`exp-diff_binary64_2172` `distribute-rgt-neg-out_binary64_2084`
12×	`log-pow_binary64_2213` `rem-sqrt-square_binary64_2137`
11×	`unpow3_binary64_2190` `associate-/r/_binary64_2070` `associate--l+_binary64_2061`
10×	`cube-prod_binary64_2152` `distribute-rgt-out--_binary64_2078`
9×	`cube-unmult_binary64_2161`
8×	`unpow2_binary64_2189` `unpow1/2_binary64_2188` `unpow1_binary64_2182` `rem-exp-log_binary64_2164`
6×	`exp-neg_binary64_2171`
5×	`pow-plus_binary64_2187` `cube-mult_binary64_2154` `difference-of-squares_binary64_2093`
4×	`exp-to-pow_binary64_2186` `pow-sqr_binary64_2097` `associate--r-_binary64_2063` `associate-+l-_binary64_2059`
3×	`log-div_binary64_2211` `associate-+r-_binary64_2058`
2×	`rem-3cbrt-lft_binary64_2149` `remove-double-neg_binary64_2112`
1×	`log-rec_binary64_2212` `1-exp_binary64_2168` `sqr-neg_binary64_2138` `-rgt-identity_binary64_2114` `-lft-identity_binary64_2113` `+-inverses_binary64_2103` `distribute-neg-out_binary64_2086` `distribute-lft-out--_binary64_2076` `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` `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` `div-exp_binary64_2175` `rec-exp_binary64_2174` `prod-exp_binary64_2173` `e-exp-1_binary64_2169` `exp-1-e_binary64_2167` `exp-0_binary64_2166` `rem-log-exp_binary64_2165` `cube-div_binary64_2153` `cube-neg_binary64_2151` `rem-3cbrt-rft_binary64_2150` `rem-cbrt-cube_binary64_2148` `rem-cube-cbrt_binary64_2147` `sqr-abs_binary64_2139` `rem-square-sqrt_binary64_2136` `mul-1-neg_binary64_2116` `/-rgt-identity_binary64_2115` `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` `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` `swap-sqr_binary64_2091` `cancel-sign-sub_binary64_2089` `distribute-frac-neg_binary64_2087` `distribute-rgt1-in_binary64_2080` `distribute-lft1-in_binary64_2079`

Counts

140 → 128

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	218	7048
1	643	6632
2	2383	6244
3	4784	5724
4	5131	5724

prune314.0ms (1.8%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	128	0	128
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	128	6	134

Error

0.0b

Counts

134 → 6

Compiler

Compiled 9591 to 1565 computations (83.7% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(pow.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 2)
0.2b	(.f64 (cbrt.f64 (pow.f64 (-.f64 (+.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) 2)) (cbrt.f64 (+.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x)))
0.5b	(cbrt.f64 (+.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x))
20.8b	(cbrt.f64 (pow.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 2))

rewrite187.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

37×	`cbrt-prod_binary64_2155`
30×	`add-sqr-sqrt_binary64_2146`
18×	`*-un-lft-identity_binary64_2124`
14×	`add-cube-cbrt_binary64_2159`
11×	`unpow-prod-down_binary64_2203` `associate-l_binary64_2065`
10×	`unswap-sqr_binary64_2092`
7×	`pow1_binary64_2185` `add-exp-log_binary64_2162` `associate-r_binary64_2064`
5×	`unpow2_binary64_2189` `sqr-pow_binary64_2096`
4×	`pow1/3_binary64_2206` `add-log-exp_binary64_2163` `add-cbrt-cube_binary64_2160` `cbrt-div_binary64_2156`
3×	`pow-unpow_binary64_2201`
2×	`flip3-+_binary64_2127` `flip-+_binary64_2098` `distribute-lft-out_binary64_2075` `pow-prod-down_binary64_2195` `associate-*r/_binary64_2066`
1×	`prod-exp_binary64_2173` `cbrt-unprod_binary64_2157` `*-commutative_binary64_2055` `pow-pow_binary64_2196` `pow-to-exp_binary64_2193` `pow-exp_binary64_2192`

Counts

4 → 90

Calls

4 calls:

18.0ms	(.f64 (cbrt.f64 (pow.f64 (-.f64 (+.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) 2)) (cbrt.f64 (+.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x)))
7.0ms	(cbrt.f64 (pow.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 2))
7.0ms	(pow.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 2)
5.0ms	(cbrt.f64 (+.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x))

Compiler

Compiled 3310 to 729 computations (78% saved)

series3.9s (21.7%)

Error

0.0b

Counts

4 → 85

Calls

4 calls:

2.0s	(cbrt.f64 (pow.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 2))
804.0ms	(cbrt.f64 (+.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x))
562.0ms	(pow.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 2)
283.0ms	(.f64 (cbrt.f64 (pow.f64 (-.f64 (+.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) 2)) (cbrt.f64 (+.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x)))

Compiler

Compiled 11119 to 7057 computations (36.5% saved)

simplify155.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

641×	`associate-l_binary64_2065`
350×	`times-frac_binary64_2130`
254×	`associate-/r*_binary64_2068`
222×	`*-commutative_binary64_2055`
221×	`associate-/l*_binary64_2069`
161×	`cancel-sign-sub-inv_binary64_2090`
117×	`sub-neg_binary64_2117`
115×	`sqr-pow_binary64_2096`
100×	`associate-l/_binary64_2067` `associate-r/_binary64_2066`
98×	`+-commutative_binary64_2054`
96×	`associate-r_binary64_2064`
60×	`associate-+r+_binary64_2056`
58×	`distribute-neg-in_binary64_2085`
46×	`distribute-rgt-out_binary64_2077`
45×	`unswap-sqr_binary64_2092`
43×	`neg-sub0_binary64_2119`
42×	`neg-mul-1_binary64_2120`
41×	`distribute-rgt-neg-in_binary64_2082`
37×	`distribute-lft-neg-in_binary64_2081`
27×	`unpow1/3_binary64_2191`
25×	`associate-/r/_binary64_2070` `associate--r+_binary64_2060`
22×	`distribute-rgt-in_binary64_2074` `distribute-lft-in_binary64_2073`
20×	`associate--l+_binary64_2061`
19×	`exp-prod_binary64_2176`
14×	`log-prod_binary64_2210`
13×	`unpow2_binary64_2189`
12×	`unpow1_binary64_2182`
11×	`distribute-lft-out_binary64_2075`
8×	`swap-sqr_binary64_2091`
6×	`pow-sqr_binary64_2097`
5×	`log-pow_binary64_2213` `unpow3_binary64_2190` `cube-mult_binary64_2154` `distribute-lft-neg-out_binary64_2083`
4×	`rem-sqrt-square_binary64_2137`
3×	`log-div_binary64_2211` `cube-unmult_binary64_2161` `distribute-rgt-out--_binary64_2078`
2×	`pow-plus_binary64_2187` `rem-3cbrt-lft_binary64_2149` `distribute-rgt-neg-out_binary64_2084` `distribute-lft1-in_binary64_2079` `distribute-lft-out--_binary64_2076`
1×	`log-rec_binary64_2212` `unpow1/2_binary64_2188` `1-exp_binary64_2168` `rem-square-sqrt_binary64_2136` `mul-1-neg_binary64_2116` `*-rgt-identity_binary64_2114` `remove-double-neg_binary64_2112` `difference-of-squares_binary64_2093` `distribute-rgt1-in_binary64_2080` `associate--l-_binary64_2062` `associate-+l-_binary64_2059` `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` `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` `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-div_binary64_2153` `cube-prod_binary64_2152` `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` `div-sub_binary64_2129` `unsub-neg_binary64_2118` `/-rgt-identity_binary64_2115` `-lft-identity_binary64_2113` `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-neg-frac_binary64_2088` `distribute-frac-neg_binary64_2087` `distribute-neg-out_binary64_2086` `count-2_binary64_2072` `associate-/l/_binary64_2071` `associate--r-_binary64_2063` `associate-+l+_binary64_2057`

Counts

175 → 146

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	574	8921
1	1817	8024
2	5243	8024

prune270.0ms (1.5%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	144	2	146
Fresh	1	1	2
Picked	1	0	1
Done	0	3	3
Total	146	6	152

Error

Counts

152 → 6

Compiler

Compiled 6324 to 2091 computations (66.9% saved)

regimes401.0ms (2.2%)

Accuracy

Total 0.0b remaining (69.7%)

Threshold costs 0.0b (69.7%)

Compiler

Compiled 4644 to 2270 computations (51.1% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

5×	`+-commutative_binary64_2054`
4×	`sub-neg_binary64_2117` `*-commutative_binary64_2055`
3×	`neg-mul-1_binary64_2120` `neg-sub0_binary64_2119`
2×	`cancel-sign-sub-inv_binary64_2090` `distribute-rgt-neg-in_binary64_2082`
1×	`distribute-lft-neg-out_binary64_2083` `distribute-lft-neg-in_binary64_2081`
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` `1-exp_binary64_2168` `exp-1-e_binary64_2167` `exp-0_binary64_2166` `sqr-abs_binary64_2139` `sqr-neg_binary64_2138` `unsub-neg_binary64_2118` `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_binary64_2089` `distribute-neg-frac_binary64_2088` `distribute-frac-neg_binary64_2087` `distribute-neg-out_binary64_2086` `distribute-neg-in_binary64_2085` `distribute-rgt-neg-out_binary64_2084`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	14
1	16	14
2	26	14
3	32	14
4	36	14
5	37	14
6	37	14

end0.0ms (0%)

sample2.1s (11.9%)

Algorithm

1×

intervals

Results

536.0ms	1300×	body	1024	valid
365.0ms	5740×	body	128	valid
111.0ms	618×	body	512	valid
49.0ms	341×	body	256	valid
1.0ms	1×	body	2048	valid

Compiler

Compiled 1174 to 579 computations (50.7% saved)

Iter	Nodes	Cost
0	22	56
1	57	56
2	112	56
3	185	56
4	264	56
5	454	56
6	672	56
7	802	56
8	832	56
9	804	56
10	765	56
0	3	3
1	3	3

Iter	Nodes	Cost
0	9	14
1	18	14
2	34	14
3	54	14
4	77	14
5	121	14
6	199	14
7	212	14
8	265	14
9	262	14
10	250	14
11	227	14

Iter	Nodes	Cost
0	22	56
1	57	56
2	112	56
3	185	56
4	264	56
5	454	56
6	672	56
7	802	56
8	832	56
9	804	56
10	765	56
0	3	3
1	3	3

Iter	Nodes	Cost
0	9	14
1	18	14
2	34	14
3	54	14
4	77	14
5	121	14
6	199	14
7	212	14
8	265	14
9	262	14
10	250	14
11	227	14

Details

analyze444.0ms (2.5%)

sample37.0ms (0.2%)

simplify19.0ms (0.1%)

prune2.0ms (0%)

localize8.0ms (0%)

rewrite44.0ms (0.2%)

series397.0ms (2.2%)

simplify87.0ms (0.5%)

prune23.0ms (0.1%)

localize12.0ms (0.1%)

rewrite188.0ms (1.1%)

series4.8s (26.9%)

simplify183.0ms (1%)

prune369.0ms (2.1%)

localize20.0ms (0.1%)

rewrite139.0ms (0.8%)

series3.6s (19.9%)

simplify192.0ms (1.1%)

prune314.0ms (1.8%)

localize15.0ms (0.1%)

rewrite187.0ms (1%)

series3.9s (21.7%)

simplify155.0ms (0.9%)

prune270.0ms (1.5%)

regimes401.0ms (2.2%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample2.1s (11.9%)

Profiling

Iter	Nodes	Cost
0	22	56
1	57	56
2	112	56
3	185	56
4	264	56
5	454	56
6	672	56
7	802	56
8	832	56
9	804	56
10	765	56
0	3	3
1	3	3

Iter	Nodes	Cost
0	9	14
1	18	14
2	34	14
3	54	14
4	77	14
5	121	14
6	199	14
7	212	14
8	265	14
9	262	14
10	250	14
11	227	14