Details

analyze239.0ms (3.8%)

Algorithm

1×	search
2×	egg-herbie

Rules

686×	`times-frac_binary64_2130`
548×	`unsub-neg_binary64_2118`
524×	`distribute-rgt-in_binary64_2074`
494×	`div-sub_binary64_2129`
398×	`distribute-lft-in_binary64_2073`
328×	`associate-/l/_binary64_2071`
253×	`cancel-sign-sub-inv_binary64_2090`
252×	`neg-mul-1_binary64_2120`
226×	`neg-sub0_binary64_2119`
144×	`sub-neg_binary64_2117`
96×	`associate-/r/_binary64_2070`
90×	`distribute-neg-frac_binary64_2088`
88×	`associate-*l/_binary64_2067`
77×	`distribute-neg-in_binary64_2085`
76×	`distribute-lft-neg-out_binary64_2083`
75×	`distribute-frac-neg_binary64_2087`
72×	`distribute-rgt-neg-out_binary64_2084`
70×	`distribute-rgt-neg-in_binary64_2082` `associate--r+_binary64_2060`
66×	`associate-*r/_binary64_2066`
64×	`associate-/l*_binary64_2069`
49×	`distribute-lft-neg-in_binary64_2081`
31×	`*-commutative_binary64_2055`
29×	`associate-+r+_binary64_2056`
26×	`distribute-rgt-out--_binary64_2078`
25×	`+-commutative_binary64_2054`
24×	`mul0-rgt_binary64_2107`
23×	`associate-r_binary64_2064`
22×	`mul0-lft_binary64_2106`
21×	`associate-l_binary64_2065` `associate-+l+_binary64_2057`
20×	`associate-/r*_binary64_2068`
17×	`sub0-neg_binary64_2111`
16×	`distribute-neg-out_binary64_2086` `distribute-rgt-out_binary64_2077`
14×	`associate-+l-_binary64_2059`
12×	`sqr-neg_binary64_2138` `+-lft-identity_binary64_2108`
10×	`div0_binary64_2105`
8×	`cube-prod_binary64_2152`
6×	`cube-div_binary64_2153` `+-rgt-identity_binary64_2109` `associate--r-_binary64_2063`
5×	`*-rgt-identity_binary64_2114` `associate-+r-_binary64_2058`
4×	`cube-unmult_binary64_2161` `mul-1-neg_binary64_2116` `*-inverses_binary64_2104`
3×	`*-lft-identity_binary64_2113` `remove-double-neg_binary64_2112`
2×	`cube-neg_binary64_2151` `/-rgt-identity_binary64_2115` `difference-of-sqr--1_binary64_2095` `difference-of-sqr-1_binary64_2094` `difference-of-squares_binary64_2093` `swap-sqr_binary64_2091` `cancel-sign-sub_binary64_2089` `distribute-lft1-in_binary64_2079` `associate--l+_binary64_2061`
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` `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` `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_2110` `+-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` `unswap-sqr_binary64_2092` `distribute-rgt1-in_binary64_2080` `distribute-lft-out--_binary64_2076` `distribute-lft-out_binary64_2075` `count-2_binary64_2072` `associate--l-_binary64_2062`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	40
1	39	34
2	96	34
3	210	34
4	466	34
5	1489	34
6	4308	34
7	4920	34
0	2	2
1	2	2

Search

True	Other	False	Iter
0%	6.2%	93.8%	0
0%	6.2%	93.8%	1
0%	6.2%	93.8%	2
1.6%	3.1%	95.3%	3
1.6%	3.1%	95.3%	4
2.3%	1.6%	96.1%	5
2.3%	1.6%	96.1%	6
2.7%	0.8%	96.5%	7
2.7%	0.8%	96.5%	8
2.9%	0.4%	96.7%	9
2.9%	0.4%	96.7%	10
3%	0.2%	96.8%	11
3%	0.2%	96.8%	12
3.1%	0.1%	96.8%	13
3.1%	0.1%	96.8%	14

Compiler

Compiled 18 to 11 computations (38.9% saved)

sample26.0ms (0.4%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	128	valid
5.0ms	256×	pre	128	true
0.0ms	5×	pre	128	false

Compiler

Compiled 31 to 21 computations (32.3% saved)

simplify74.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

624×	`neg-mul-1_binary64_2120`
414×	`sub-neg_binary64_2117`
381×	`distribute-frac-neg_binary64_2087`
364×	`div-sub_binary64_2129`
297×	`unsub-neg_binary64_2118`
254×	`*-commutative_binary64_2055`
253×	`times-frac_binary64_2130`
204×	`neg-sub0_binary64_2119`
190×	`cancel-sign-sub-inv_binary64_2090` `distribute-rgt-in_binary64_2074`
178×	`associate-/l*_binary64_2069`
174×	`associate-/r/_binary64_2070`
173×	`associate-*l/_binary64_2067`
171×	`distribute-lft-in_binary64_2073`
143×	`distribute-neg-frac_binary64_2088`
137×	`cube-prod_binary64_2152`
134×	`distribute-neg-out_binary64_2086`
131×	`associate-/l/_binary64_2071`
114×	`associate-l_binary64_2065`
103×	`associate-*r/_binary64_2066`
97×	`distribute-lft-neg-out_binary64_2083`
96×	`distribute-rgt-neg-out_binary64_2084`
91×	`distribute-rgt-neg-in_binary64_2082` `associate-+l-_binary64_2059`
89×	`distribute-rgt-out_binary64_2077`
83×	`associate--r+_binary64_2060`
79×	`associate-/r*_binary64_2068`
78×	`associate-+l+_binary64_2057`
70×	`associate-r_binary64_2064`
66×	`distribute-lft-neg-in_binary64_2081`
63×	`cube-div_binary64_2153`
62×	`div0_binary64_2105`
60×	`swap-sqr_binary64_2091`
57×	`associate-+r+_binary64_2056`
55×	`associate--l+_binary64_2061`
50×	`remove-double-neg_binary64_2112`
48×	`distribute-rgt-out--_binary64_2078`
45×	`sqr-neg_binary64_2138` `+-commutative_binary64_2054`
43×	`sub0-neg_binary64_2111`
38×	`associate-+r-_binary64_2058`
34×	`mul0-rgt_binary64_2107`
33×	`mul0-lft_binary64_2106`
31×	`cube-neg_binary64_2151`
29×	`unpow3_binary64_2190` `cube-mult_binary64_2154`
27×	`distribute-neg-in_binary64_2085`
24×	`/-rgt-identity_binary64_2115`
21×	`associate--r-_binary64_2063`
19×	`associate--l-_binary64_2062`
16×	`distribute-lft-out_binary64_2075`
13×	`*-rgt-identity_binary64_2114`
11×	`+-lft-identity_binary64_2108` `cancel-sign-sub_binary64_2089`
10×	`--rgt-identity_binary64_2110` `unswap-sqr_binary64_2092`
8×	`mul-1-neg_binary64_2116`
7×	`*-lft-identity_binary64_2113` `+-rgt-identity_binary64_2109` `sqr-pow_binary64_2096`
6×	`distribute-lft-out--_binary64_2076`
5×	`distribute-rgt1-in_binary64_2080`
4×	`remove-double-div_binary64_2100`
3×	`+-inverses_binary64_2103`
2×	`cube-unmult_binary64_2161` `*-inverses_binary64_2104` `lft-mult-inverse_binary64_2102` `difference-of-sqr--1_binary64_2095` `difference-of-squares_binary64_2093` `distribute-lft1-in_binary64_2079`
1×	`unpow2_binary64_2189` `pow-plus_binary64_2187` `1-exp_binary64_2168` `difference-of-sqr-1_binary64_2094`
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` `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-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` `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-mult-inverse_binary64_2101` `pow-sqr_binary64_2097` `count-2_binary64_2072`

Counts

1 → 1

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	20
1	22	17
2	54	17
3	115	17
4	245	17
5	646	17
6	1944	17
7	3229	17
8	4346	17
9	4836	17

prune4.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

15.6b

Counts

2 → 1

Compiler

Compiled 22 to 18 computations (18.2% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 1 (/.f64 (.f64 b b) (.f64 a a)))
0.0b	(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 (.f64 b b) (.f64 a a)))))
32.3b	(/.f64 (.f64 b b) (.f64 a a))

rewrite86.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

15×	`add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`
10×	`add-sqr-sqrt_binary64_2146`
9×	`*-un-lft-identity_binary64_2124`
5×	`add-log-exp_binary64_2163` `add-cube-cbrt_binary64_2159` `cancel-sign-sub-inv_binary64_2090`
4×	`pow1_binary64_2185` `prod-exp_binary64_2173` `div-exp_binary64_2175` `cbrt-undiv_binary64_2158` `cbrt-unprod_binary64_2157` `times-frac_binary64_2130` `difference-of-squares_binary64_2093`
3×	`sqrt-prod_binary64_2140`
2×	`div-inv_binary64_2121`
1×	`frac-2neg_binary64_2135` `clear-num_binary64_2123` `associate-/l_binary64_2069` `associate-/r_binary64_2068` `pow1/2_binary64_2204` `sqrt-pow1_binary64_2142` `rem-sqrt-square_binary64_2137` `diff-log_binary64_2216` `flip3--_binary64_2128` `sub-neg_binary64_2117` `flip--_binary64_2099` `distribute-lft-out--_binary64_2076`

Counts

3 → 55

Calls

3 calls:

10.0ms	(/.f64 (.f64 b b) (.f64 a a))
6.0ms	(-.f64 1 (/.f64 (.f64 b b) (.f64 a a)))
1.0ms	(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 (.f64 b b) (.f64 a a)))))

Compiler

Compiled 1065 to 431 computations (59.5% saved)

series424.0ms (6.8%)

Error

0.6b

Counts

3 → 24

Calls

3 calls:

177.0ms	(-.f64 1 (/.f64 (.f64 b b) (.f64 a a)))
122.0ms	(/.f64 (.f64 b b) (.f64 a a))
103.0ms	(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 (.f64 b b) (.f64 a a)))))

Compiler

Compiled 678 to 644 computations (5% saved)

simplify85.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

808×	`times-frac_binary64_2130`
635×	`unswap-sqr_binary64_2092`
450×	`associate-l_binary64_2065`
417×	`associate-/l*_binary64_2069`
371×	`associate-r_binary64_2064`
364×	`associate-*l/_binary64_2067`
279×	`associate-*r/_binary64_2066`
215×	`associate-/r*_binary64_2068`
202×	`exp-prod_binary64_2176`
99×	`associate-/l/_binary64_2071`
93×	`log-prod_binary64_2210`
89×	`associate-/r/_binary64_2070`
85×	`cube-prod_binary64_2152`
81×	`sqr-pow_binary64_2096`
77×	`distribute-rgt-neg-in_binary64_2082`
69×	`cancel-sign-sub-inv_binary64_2090` `distribute-lft-neg-in_binary64_2081`
60×	`div-sub_binary64_2129`
59×	`neg-sub0_binary64_2119`
57×	`distribute-neg-frac_binary64_2088`
55×	`neg-mul-1_binary64_2120`
53×	`log-div_binary64_2211`
49×	`cube-div_binary64_2153`
43×	`sub-neg_binary64_2117`
39×	`*-lft-identity_binary64_2113`
33×	`distribute-rgt-in_binary64_2074`
30×	`unsub-neg_binary64_2118`
29×	`*-rgt-identity_binary64_2114`
24×	`distribute-lft-in_binary64_2073`
21×	`exp-sum_binary64_2170` `*-commutative_binary64_2055`
19×	`distribute-lft-neg-out_binary64_2083`
15×	`unpow3_binary64_2190` `/-rgt-identity_binary64_2115`
14×	`exp-diff_binary64_2172` `+-commutative_binary64_2054`
13×	`swap-sqr_binary64_2091`
11×	`pow-sqr_binary64_2097`
10×	`mul0-rgt_binary64_2107` `mul0-lft_binary64_2106`
9×	`pow-plus_binary64_2187` `distribute-rgt-neg-out_binary64_2084`
7×	`cube-unmult_binary64_2161`
6×	`rem-sqrt-square_binary64_2137` `distribute-rgt-out_binary64_2077`
5×	`log-pow_binary64_2213` `cube-mult_binary64_2154`
4×	`log-rec_binary64_2212` `div0_binary64_2105` `distribute-rgt1-in_binary64_2080`
3×	`unpow1/2_binary64_2188` `mul-1-neg_binary64_2116` `distribute-lft-out_binary64_2075`
2×	`unpow2_binary64_2189` `unpow1_binary64_2182` `exp-neg_binary64_2171` `rem-square-sqrt_binary64_2136` `count-2_binary64_2072` `associate--l+_binary64_2061` `associate--r+_binary64_2060` `associate-+l+_binary64_2057` `associate-+r+_binary64_2056`
1×	`div-exp_binary64_2175` `1-exp_binary64_2168` `exp-1-e_binary64_2167` `rem-3cbrt-lft_binary64_2149` `sqr-neg_binary64_2138` `distribute-frac-neg_binary64_2087` `distribute-neg-in_binary64_2085` `distribute-rgt-out--_binary64_2078` `distribute-lft-out--_binary64_2076`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_2387` `erf-erfc_binary64_2386` `erf-odd_binary64_2385` `if-if-and-not_binary64_2384` `if-if-and_binary64_2383` `if-if-or-not_binary64_2382` `if-if-or_binary64_2381` `if-not_binary64_2380` `if-same_binary64_2379` `if-false_binary64_2378` `if-true_binary64_2377` `not-gte_binary64_2376` `not-lte_binary64_2375` `not-gt_binary64_2374` `not-lt_binary64_2373` `gte-same_binary64_2372` `lte-same_binary64_2371` `gt-same_binary64_2370` `lt-same_binary64_2369` `sinh---cosh_binary64_2316` `sinh-+-cosh_binary64_2315` `sinh-cosh_binary64_2314` `tanh-def-c_binary64_2313` `tanh-def-b_binary64_2312` `tanh-def-a_binary64_2311` `cosh-def_binary64_2310` `sinh-def_binary64_2309` `tan-neg_binary64_2256` `cos-neg_binary64_2255` `sin-neg_binary64_2254` `tan-0_binary64_2253` `cos-0_binary64_2252` `sin-0_binary64_2251` `hang-m-tan_binary64_2250` `hang-p-tan_binary64_2249` `hang-m0-tan_binary64_2248` `hang-p0-tan_binary64_2247` `hang-0m-tan_binary64_2246` `hang-0p-tan_binary64_2245` `tan-+PI/2_binary64_2244` `tan-+PI_binary64_2243` `tan-PI_binary64_2242` `tan-PI/3_binary64_2241` `tan-PI/4_binary64_2240` `tan-PI/6_binary64_2239` `cos-+PI/2_binary64_2238` `cos-+PI_binary64_2237` `cos-PI_binary64_2236` `cos-PI/2_binary64_2235` `cos-PI/3_binary64_2234` `cos-PI/4_binary64_2233` `cos-PI/6_binary64_2232` `sin-+PI/2_binary64_2231` `sin-+PI_binary64_2230` `sin-PI_binary64_2229` `sin-PI/2_binary64_2228` `sin-PI/3_binary64_2227` `sin-PI/4_binary64_2226` `sin-PI/6_binary64_2225` `sub-1-sin_binary64_2224` `sub-1-cos_binary64_2223` `-1-add-sin_binary64_2222` `-1-add-cos_binary64_2221` `1-sub-sin_binary64_2220` `1-sub-cos_binary64_2219` `cos-sin-sum_binary64_2218` `log-E_binary64_2214` `pow-base-0_binary64_2208` `unpow1/3_binary64_2191` `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` `prod-exp_binary64_2173` `e-exp-1_binary64_2169` `exp-0_binary64_2166` `rem-log-exp_binary64_2165` `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` `remove-double-neg_binary64_2112` `sub0-neg_binary64_2111` `--rgt-identity_binary64_2110` `+-rgt-identity_binary64_2109` `+-lft-identity_binary64_2108` `*-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` `cancel-sign-sub_binary64_2089` `distribute-neg-out_binary64_2086` `distribute-lft1-in_binary64_2079` `associate--r-_binary64_2063` `associate--l-_binary64_2062` `associate-+l-_binary64_2059` `associate-+r-_binary64_2058`

Counts

79 → 50

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	102	1213
1	228	1116
2	685	1067
3	3913	1064
4	5440	1064

prune48.0ms (0.8%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	47	3	50
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	48	3	51

Error

0.0b

Counts

51 → 3

Compiler

Compiled 654 to 312 computations (52.3% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 1 (cbrt.f64 (pow.f64 (/.f64 b a) 6)))
0.0b	(sqrt.f64 (fabs.f64 (-.f64 1 (cbrt.f64 (pow.f64 (/.f64 b a) 6)))))
0.4b	(pow.f64 (/.f64 b a) 6)
27.5b	(cbrt.f64 (pow.f64 (/.f64 b a) 6))

rewrite164.0ms (2.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

46×	`add-sqr-sqrt_binary64_2146`
43×	`unpow-prod-down_binary64_2203`
42×	`cbrt-prod_binary64_2155`
37×	`*-un-lft-identity_binary64_2124`
30×	`add-cube-cbrt_binary64_2159`
29×	`times-frac_binary64_2130`
20×	`cancel-sign-sub-inv_binary64_2090`
10×	`difference-of-squares_binary64_2093`
7×	`add-exp-log_binary64_2162`
6×	`pow1_binary64_2185` `add-log-exp_binary64_2163`
5×	`sqr-pow_binary64_2096`
4×	`add-cbrt-cube_binary64_2160`
3×	`div-inv_binary64_2121` `pow-unpow_binary64_2201` `sqrt-prod_binary64_2140`
2×	`pow-exp_binary64_2192`
1×	`pow1/3_binary64_2206` `pow-pow_binary64_2196` `pow-to-exp_binary64_2193` `div-exp_binary64_2175` `pow1/2_binary64_2204` `sqrt-pow1_binary64_2142` `rem-sqrt-square_binary64_2137` `diff-log_binary64_2216` `flip3--_binary64_2128` `sub-neg_binary64_2117` `flip--_binary64_2099` `distribute-lft-out--_binary64_2076`

Counts

4 → 108

Calls

4 calls:

12.0ms	(-.f64 1 (cbrt.f64 (pow.f64 (/.f64 b a) 6)))
4.0ms	(pow.f64 (/.f64 b a) 6)
4.0ms	(cbrt.f64 (pow.f64 (/.f64 b a) 6))
1.0ms	(sqrt.f64 (fabs.f64 (-.f64 1 (cbrt.f64 (pow.f64 (/.f64 b a) 6)))))

Compiler

Compiled 2089 to 1410 computations (32.5% saved)

series616.0ms (9.8%)

Error

0.0b

Counts

4 → 30

Calls

4 calls:

186.0ms	(-.f64 1 (cbrt.f64 (pow.f64 (/.f64 b a) 6)))
181.0ms	(pow.f64 (/.f64 b a) 6)
124.0ms	(cbrt.f64 (pow.f64 (/.f64 b a) 6))
101.0ms	(sqrt.f64 (fabs.f64 (-.f64 1 (cbrt.f64 (pow.f64 (/.f64 b a) 6)))))

Compiler

Compiled 894 to 848 computations (5.1% saved)

simplify145.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

487×	`associate-l_binary64_2065`
478×	`associate-r_binary64_2064`
384×	`log-prod_binary64_2210`
310×	`exp-prod_binary64_2176`
188×	`associate-*l/_binary64_2067`
172×	`associate-*r/_binary64_2066`
132×	`log-div_binary64_2211`
113×	`log-pow_binary64_2213` `sqr-pow_binary64_2096`
111×	`unswap-sqr_binary64_2092`
109×	`*-commutative_binary64_2055`
75×	`associate-/l*_binary64_2069`
63×	`associate-/r*_binary64_2068`
55×	`times-frac_binary64_2130` `swap-sqr_binary64_2091`
52×	`cube-unmult_binary64_2161` `neg-mul-1_binary64_2120`
51×	`pow-plus_binary64_2187` `neg-sub0_binary64_2119` `cancel-sign-sub-inv_binary64_2090` `distribute-rgt-neg-in_binary64_2082`
48×	`cube-div_binary64_2153`
47×	`unpow3_binary64_2190`
46×	`sub-neg_binary64_2117`
45×	`distribute-rgt-in_binary64_2074`
43×	`distribute-lft-neg-in_binary64_2081`
42×	`distribute-lft-in_binary64_2073`
37×	`+-commutative_binary64_2054`
32×	`cube-mult_binary64_2154`
27×	`cube-prod_binary64_2152` `associate-/l/_binary64_2071`
23×	`distribute-rgt-neg-out_binary64_2084` `distribute-lft-neg-out_binary64_2083`
14×	`exp-sum_binary64_2170`
13×	`distribute-neg-frac_binary64_2088`
11×	`pow-sqr_binary64_2097`
9×	`rem-sqrt-square_binary64_2137` `associate-/r/_binary64_2070` `associate-+l-_binary64_2059`
8×	`*-rgt-identity_binary64_2114` `associate-+l+_binary64_2057`
6×	`*-lft-identity_binary64_2113`
5×	`exp-diff_binary64_2172`
4×	`unpow1/2_binary64_2188` `distribute-rgt1-in_binary64_2080`
3×	`unpow1_binary64_2182` `rem-cbrt-cube_binary64_2148` `rem-cube-cbrt_binary64_2147` `rem-square-sqrt_binary64_2136` `/-rgt-identity_binary64_2115` `count-2_binary64_2072` `associate-+r+_binary64_2056`
2×	`unpow2_binary64_2189` `rem-3cbrt-lft_binary64_2149` `mul-1-neg_binary64_2116` `distribute-rgt-out_binary64_2077`
1×	`div-exp_binary64_2175` `1-exp_binary64_2168` `exp-1-e_binary64_2167` `distribute-frac-neg_binary64_2087` `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-rec_binary64_2212` `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` `prod-exp_binary64_2173` `exp-neg_binary64_2171` `e-exp-1_binary64_2169` `exp-0_binary64_2166` `rem-log-exp_binary64_2165` `rem-exp-log_binary64_2164` `cube-neg_binary64_2151` `rem-3cbrt-rft_binary64_2150` `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` `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` `difference-of-squares_binary64_2093` `cancel-sign-sub_binary64_2089` `distribute-neg-out_binary64_2086` `distribute-neg-in_binary64_2085` `distribute-lft1-in_binary64_2079` `distribute-rgt-out--_binary64_2078` `distribute-lft-out--_binary64_2076` `distribute-lft-out_binary64_2075` `associate--r-_binary64_2063` `associate--l-_binary64_2062` `associate--l+_binary64_2061` `associate--r+_binary64_2060`

Counts

138 → 91

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	200	2451
1	411	2143
2	920	2071
3	3648	2044
4	4961	2044
5	4946	2044

prune98.0ms (1.6%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	89	2	91
Fresh	1	1	2
Picked	1	0	1
Done	0	0	0
Total	91	3	94

Error

Counts

94 → 3

Compiler

Compiled 1276 to 877 computations (31.3% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (fabs.f64 (log.f64 (exp.f64 (-.f64 1 (cbrt.f64 (pow.f64 (/.f64 b a) 6)))))))
0.0b	(log.f64 (exp.f64 (-.f64 1 (cbrt.f64 (pow.f64 (/.f64 b a) 6)))))
0.4b	(pow.f64 (/.f64 b a) 6)
27.5b	(cbrt.f64 (pow.f64 (/.f64 b a) 6))

rewrite206.0ms (3.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

48×	`add-sqr-sqrt_binary64_2146`
43×	`unpow-prod-down_binary64_2203`
42×	`cbrt-prod_binary64_2155`
39×	`*-un-lft-identity_binary64_2124`
32×	`add-cube-cbrt_binary64_2159`
29×	`times-frac_binary64_2130`
24×	`log-prod_binary64_2210`
21×	`exp-sum_binary64_2170`
20×	`cancel-sign-sub-inv_binary64_2090`
15×	`log-pow_binary64_2213`
14×	`exp-prod_binary64_2176`
10×	`difference-of-squares_binary64_2093`
7×	`pow1_binary64_2185` `add-exp-log_binary64_2162`
5×	`sqr-pow_binary64_2096`
4×	`add-log-exp_binary64_2163` `add-cbrt-cube_binary64_2160`
3×	`div-inv_binary64_2121` `pow-unpow_binary64_2201` `sqrt-prod_binary64_2140`
2×	`pow-exp_binary64_2192`
1×	`pow1/3_binary64_2206` `pow-pow_binary64_2196` `pow-to-exp_binary64_2193` `div-exp_binary64_2175` `distribute-lft-out--_binary64_2076` `exp-diff_binary64_2172` `log-div_binary64_2211` `sub-neg_binary64_2117` `rem-log-exp_binary64_2165` `pow1/2_binary64_2204` `sqrt-pow1_binary64_2142` `rem-sqrt-square_binary64_2137`

Counts

4 → 114

Calls

4 calls:

15.0ms	(log.f64 (exp.f64 (-.f64 1 (cbrt.f64 (pow.f64 (/.f64 b a) 6)))))
5.0ms	(pow.f64 (/.f64 b a) 6)
4.0ms	(cbrt.f64 (pow.f64 (/.f64 b a) 6))
1.0ms	(sqrt.f64 (fabs.f64 (log.f64 (exp.f64 (-.f64 1 (cbrt.f64 (pow.f64 (/.f64 b a) 6)))))))

Compiler

Compiled 2469 to 1769 computations (28.4% saved)

series849.0ms (13.6%)

Error

Counts

4 → 27

Calls

4 calls:

397.0ms	(log.f64 (exp.f64 (-.f64 1 (cbrt.f64 (pow.f64 (/.f64 b a) 6)))))
174.0ms	(pow.f64 (/.f64 b a) 6)
136.0ms	(cbrt.f64 (pow.f64 (/.f64 b a) 6))
115.0ms	(sqrt.f64 (fabs.f64 (log.f64 (exp.f64 (-.f64 1 (cbrt.f64 (pow.f64 (/.f64 b a) 6)))))))

Compiler

Compiled 954 to 914 computations (4.2% saved)

simplify116.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

492×	`exp-prod_binary64_2176`
447×	`log-prod_binary64_2210`
360×	`associate-r_binary64_2064`
355×	`associate-l_binary64_2065`
192×	`log-pow_binary64_2213`
183×	`sqr-pow_binary64_2096`
166×	`associate-*l/_binary64_2067`
164×	`log-div_binary64_2211`
155×	`associate-*r/_binary64_2066`
104×	`*-commutative_binary64_2055`
76×	`associate-/l*_binary64_2069`
69×	`unswap-sqr_binary64_2092`
59×	`associate-/r*_binary64_2068`
53×	`rem-log-exp_binary64_2165`
50×	`neg-mul-1_binary64_2120`
49×	`times-frac_binary64_2130` `swap-sqr_binary64_2091`
48×	`cube-div_binary64_2153`
47×	`pow-plus_binary64_2187` `neg-sub0_binary64_2119`
46×	`unpow3_binary64_2190`
43×	`distribute-rgt-in_binary64_2074`
42×	`distribute-lft-in_binary64_2073`
41×	`exp-to-pow_binary64_2186`
39×	`sub-neg_binary64_2117`
35×	`exp-sum_binary64_2170`
31×	`log-rec_binary64_2212` `cube-mult_binary64_2154`
29×	`pow-sqr_binary64_2097`
28×	`distribute-rgt-neg-in_binary64_2082` `associate-/l/_binary64_2071`
26×	`cancel-sign-sub-inv_binary64_2090`
25×	`distribute-lft-neg-in_binary64_2081` `+-commutative_binary64_2054`
23×	`cube-prod_binary64_2152`
22×	`exp-diff_binary64_2172` `distribute-lft-neg-out_binary64_2083`
21×	`distribute-rgt-neg-out_binary64_2084`
18×	`exp-neg_binary64_2171`
9×	`cube-unmult_binary64_2161`
8×	`rem-sqrt-square_binary64_2137` `associate-/r/_binary64_2070`
6×	`*-rgt-identity_binary64_2114` `distribute-neg-frac_binary64_2088`
4×	`associate-+l-_binary64_2059`
3×	`unpow1/2_binary64_2188` `unpow1_binary64_2182` `rem-cbrt-cube_binary64_2148` `rem-cube-cbrt_binary64_2147` `rem-square-sqrt_binary64_2136` `/-rgt-identity_binary64_2115` `*-lft-identity_binary64_2113` `count-2_binary64_2072` `associate-+r-_binary64_2058`
2×	`unpow2_binary64_2189` `rem-3cbrt-lft_binary64_2149`
1×	`1-exp_binary64_2168` `exp-1-e_binary64_2167` `rem-exp-log_binary64_2164` `associate-+l+_binary64_2057`
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` `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-0_binary64_2166` `cube-neg_binary64_2151` `rem-3cbrt-rft_binary64_2150` `sqr-abs_binary64_2139` `sqr-neg_binary64_2138` `div-sub_binary64_2129` `unsub-neg_binary64_2118` `mul-1-neg_binary64_2116` `remove-double-neg_binary64_2112` `sub0-neg_binary64_2111` `--rgt-identity_binary64_2110` `+-rgt-identity_binary64_2109` `+-lft-identity_binary64_2108` `mul0-rgt_binary64_2107` `mul0-lft_binary64_2106` `div0_binary64_2105` `*-inverses_binary64_2104` `+-inverses_binary64_2103` `lft-mult-inverse_binary64_2102` `rgt-mult-inverse_binary64_2101` `remove-double-div_binary64_2100` `difference-of-sqr--1_binary64_2095` `difference-of-sqr-1_binary64_2094` `difference-of-squares_binary64_2093` `cancel-sign-sub_binary64_2089` `distribute-frac-neg_binary64_2087` `distribute-neg-out_binary64_2086` `distribute-neg-in_binary64_2085` `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` `associate--r-_binary64_2063` `associate--l-_binary64_2062` `associate--l+_binary64_2061` `associate--r+_binary64_2060` `associate-+r+_binary64_2056`

Counts

141 → 105

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	252	2414
1	487	2100
2	1115	2028
3	3708	2001
4	5140	2001

prune113.0ms (1.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	105	0	105
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	105	3	108

Error

Counts

108 → 3

Compiler

Compiled 1662 to 1190 computations (28.4% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(cbrt.f64 (pow.f64 (sqrt.f64 (fabs.f64 (-.f64 1 (cbrt.f64 (pow.f64 (/.f64 b a) 6))))) 3))
0.0b	(pow.f64 (sqrt.f64 (fabs.f64 (-.f64 1 (cbrt.f64 (pow.f64 (/.f64 b a) 6))))) 3)
0.4b	(pow.f64 (/.f64 b a) 6)
27.5b	(cbrt.f64 (pow.f64 (/.f64 b a) 6))

rewrite202.0ms (3.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

38×	`unpow-prod-down_binary64_2203`
35×	`cbrt-prod_binary64_2155`
30×	`add-cube-cbrt_binary64_2159` `add-sqr-sqrt_binary64_2146` `*-un-lft-identity_binary64_2124`
18×	`times-frac_binary64_2130`
12×	`sqrt-prod_binary64_2140` `cube-prod_binary64_2152`
8×	`add-exp-log_binary64_2162`
7×	`pow1_binary64_2185`
6×	`pow-unpow_binary64_2201`
5×	`add-cbrt-cube_binary64_2160`
4×	`add-log-exp_binary64_2163` `sqr-pow_binary64_2096` `pow-pow_binary64_2196`
3×	`pow-exp_binary64_2192`
2×	`pow1/3_binary64_2206` `div-inv_binary64_2121` `pow-to-exp_binary64_2193` `unpow3_binary64_2190` `cube-mult_binary64_2154`
1×	`div-exp_binary64_2175` `pow1/2_binary64_2204` `sqrt-pow1_binary64_2142` `rem-cube-cbrt_binary64_2147` `sqrt-pow2_binary64_2143` `rem-cbrt-cube_binary64_2148`

Counts

4 → 112

Calls

4 calls:

5.0ms	(cbrt.f64 (pow.f64 (/.f64 b a) 6))
5.0ms	(pow.f64 (/.f64 b a) 6)
3.0ms	(pow.f64 (sqrt.f64 (fabs.f64 (-.f64 1 (cbrt.f64 (pow.f64 (/.f64 b a) 6))))) 3)
3.0ms	(cbrt.f64 (pow.f64 (sqrt.f64 (fabs.f64 (-.f64 1 (cbrt.f64 (pow.f64 (/.f64 b a) 6))))) 3))

Compiler

Compiled 2635 to 1986 computations (24.6% saved)

series711.0ms (11.4%)

Error

Counts

4 → 24

Calls

4 calls:

269.0ms	(pow.f64 (sqrt.f64 (fabs.f64 (-.f64 1 (cbrt.f64 (pow.f64 (/.f64 b a) 6))))) 3)
188.0ms	(pow.f64 (/.f64 b a) 6)
136.0ms	(cbrt.f64 (pow.f64 (/.f64 b a) 6))
92.0ms	(cbrt.f64 (pow.f64 (sqrt.f64 (fabs.f64 (-.f64 1 (cbrt.f64 (pow.f64 (/.f64 b a) 6))))) 3))

Compiler

Compiled 972 to 926 computations (4.7% saved)

simplify125.0ms (2%)

Algorithm

1×	egg-herbie

Rules

658×	`associate-l_binary64_2065`
651×	`log-prod_binary64_2210`
573×	`associate-r_binary64_2064`
316×	`unswap-sqr_binary64_2092`
161×	`associate-*l/_binary64_2067`
152×	`associate-*r/_binary64_2066`
148×	`sqr-pow_binary64_2096`
126×	`log-div_binary64_2211`
69×	`swap-sqr_binary64_2091`
67×	`associate-/l*_binary64_2069`
66×	`exp-prod_binary64_2176`
58×	`log-pow_binary64_2213`
56×	`associate-/r*_binary64_2068`
49×	`*-commutative_binary64_2055`
48×	`cube-div_binary64_2153`
47×	`cube-prod_binary64_2152`
46×	`times-frac_binary64_2130`
39×	`unpow3_binary64_2190`
38×	`cube-mult_binary64_2154`
30×	`associate-/l/_binary64_2071`
23×	`rem-sqrt-square_binary64_2137`
22×	`pow-sqr_binary64_2097`
16×	`distribute-rgt-in_binary64_2074`
13×	`pow-plus_binary64_2187` `distribute-lft-in_binary64_2073`
12×	`cancel-sign-sub-inv_binary64_2090`
11×	`cube-unmult_binary64_2161`
9×	`rem-cbrt-cube_binary64_2148` `associate-/r/_binary64_2070`
7×	`distribute-rgt-neg-in_binary64_2082` `distribute-lft-neg-in_binary64_2081`
6×	`sub-neg_binary64_2117`
5×	`distribute-neg-frac_binary64_2088` `count-2_binary64_2072`
4×	`unpow1/2_binary64_2188` `unpow1_binary64_2182` `rem-cube-cbrt_binary64_2147` `rem-square-sqrt_binary64_2136` `neg-mul-1_binary64_2120` `neg-sub0_binary64_2119` `*-rgt-identity_binary64_2114` `associate-+l+_binary64_2057` `associate-+r+_binary64_2056`
3×	`sqr-abs_binary64_2139` `/-rgt-identity_binary64_2115` `associate-+l-_binary64_2059` `+-commutative_binary64_2054`
2×	`unpow2_binary64_2189` `rem-3cbrt-lft_binary64_2149`
1×	`1-exp_binary64_2168` `*-lft-identity_binary64_2113` `distribute-rgt-neg-out_binary64_2084` `distribute-lft-neg-out_binary64_2083` `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-rec_binary64_2212` `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` `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-neg_binary64_2151` `rem-3cbrt-rft_binary64_2150` `sqr-neg_binary64_2138` `div-sub_binary64_2129` `unsub-neg_binary64_2118` `mul-1-neg_binary64_2116` `remove-double-neg_binary64_2112` `sub0-neg_binary64_2111` `--rgt-identity_binary64_2110` `+-rgt-identity_binary64_2109` `+-lft-identity_binary64_2108` `mul0-rgt_binary64_2107` `mul0-lft_binary64_2106` `div0_binary64_2105` `*-inverses_binary64_2104` `+-inverses_binary64_2103` `lft-mult-inverse_binary64_2102` `rgt-mult-inverse_binary64_2101` `remove-double-div_binary64_2100` `difference-of-sqr--1_binary64_2095` `difference-of-sqr-1_binary64_2094` `difference-of-squares_binary64_2093` `cancel-sign-sub_binary64_2089` `distribute-frac-neg_binary64_2087` `distribute-neg-out_binary64_2086` `distribute-neg-in_binary64_2085` `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` `associate--r-_binary64_2063` `associate--l-_binary64_2062` `associate--l+_binary64_2061` `associate--r+_binary64_2060`

Counts

136 → 99

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	174	2644
1	301	2464
2	754	2396
3	3888	2396
4	4928	2396

prune120.0ms (1.9%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	99	3	102

Error

Counts

102 → 3

Compiler

Compiled 1647 to 1230 computations (25.3% saved)

regimes363.0ms (5.8%)

Accuracy

Total 0.0b remaining (98.4%)

Threshold costs 0.0b (98.4%)

Compiler

Compiled 3120 to 2541 computations (18.6% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`sub-neg_binary64_2117` `+-commutative_binary64_2054`
1×	`1-exp_binary64_2168` `neg-mul-1_binary64_2120` `neg-sub0_binary64_2119` `*-commutative_binary64_2055`
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` `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-inv_binary64_2090` `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` `distribute-lft-neg-out_binary64_2083` `distribute-rgt-neg-in_binary64_2082` `distribute-lft-neg-in_binary64_2081`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	20
1	17	20
2	21	20
3	23	20
4	24	20
5	23	20

end0.0ms (0%)

sample1.4s (22.5%)

Algorithm

1×

intervals

Results

274.0ms	8000×	body	128	valid
167.0ms	8000×	pre	128	true
2.0ms	129×	pre	128	false

Compiler

Compiled 400 to 330 computations (17.5% saved)

Details

analyze239.0ms (3.8%)

sample26.0ms (0.4%)

simplify74.0ms (1.2%)

prune4.0ms (0.1%)

localize7.0ms (0.1%)

rewrite86.0ms (1.4%)

series424.0ms (6.8%)

simplify85.0ms (1.4%)

prune48.0ms (0.8%)

localize8.0ms (0.1%)

rewrite164.0ms (2.6%)

series616.0ms (9.8%)

simplify145.0ms (2.3%)

prune98.0ms (1.6%)

localize11.0ms (0.2%)

rewrite206.0ms (3.3%)

series849.0ms (13.6%)

simplify116.0ms (1.8%)

prune113.0ms (1.8%)

localize10.0ms (0.2%)

rewrite202.0ms (3.2%)

series711.0ms (11.4%)

simplify125.0ms (2%)

prune120.0ms (1.9%)

regimes363.0ms (5.8%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample1.4s (22.5%)

Profiling