Details

analyze2.2s (2.8%)

Algorithm

1×	search
2×	egg-herbie

Rules

710×	`sub-neg_binary64_2117`
625×	`div-sub_binary64_2129`
622×	`exp-diff_binary64_2172`
288×	`+-commutative_binary64_2054`
236×	`associate-+l+_binary64_2057`
145×	`associate--l+_binary64_2061`
144×	`unsub-neg_binary64_2118`
132×	`associate-+r+_binary64_2056`
117×	`neg-mul-1_binary64_2120` `neg-sub0_binary64_2119`
107×	`associate--l-_binary64_2062`
104×	`associate-+l-_binary64_2059`
102×	`associate-+r-_binary64_2058`
53×	`associate--r-_binary64_2063`
44×	`associate--r+_binary64_2060`
35×	`*-commutative_binary64_2055`
31×	`distribute-frac-neg_binary64_2087`
30×	`exp-neg_binary64_2171` `associate-/l*_binary64_2069`
28×	`exp-prod_binary64_2176`
26×	`distribute-neg-in_binary64_2085` `distribute-rgt-in_binary64_2074` `distribute-lft-in_binary64_2073`
1×	`1-exp_binary64_2168` `swap-Ev-EAccept`
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` `div-exp_binary64_2175` `rec-exp_binary64_2174` `prod-exp_binary64_2173` `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` `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` `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` `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-inv_binary64_2090` `cancel-sign-sub_binary64_2089` `distribute-neg-frac_binary64_2088` `distribute-neg-out_binary64_2086` `distribute-rgt-neg-out_binary64_2084` `distribute-lft-neg-out_binary64_2083` `distribute-rgt-neg-in_binary64_2082` `distribute-lft-neg-in_binary64_2081` `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-/r_binary64_2068` `associate-l/_binary64_2067` `associate-r/_binary64_2066` `associate-l_binary64_2065` `associate-r_binary64_2064`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	468	1702
1	947	1702
2	3023	1702
3	4854	1702
4	5755	1702
0	9	9
1	9	9

Search

True	Other	False	Iter
0%	99.6%	0.4%	0
0%	99.6%	0.4%	1
0%	99.6%	0.4%	2
0%	99.6%	0.4%	3
0%	99.6%	0.4%	4
0%	99.6%	0.4%	5
0%	99.6%	0.4%	6
0%	99.6%	0.4%	7
24.9%	74.7%	0.4%	8
24.9%	74.7%	0.4%	9
24.9%	74.7%	0.4%	10
25.7%	73.9%	0.4%	11
25.7%	73.9%	0.4%	12
25.7%	73.9%	0.4%	13
25.7%	73.9%	0.4%	14

Symmetry

(sort Ev EAccept)

Compiler

Compiled 32 to 29 computations (9.4% saved)

sample55.0ms (0.1%)

Algorithm

1×

intervals

Results

25.0ms

256×

body

128

valid

Compiler

Compiled 63 to 66 computations (-4.8% saved)

simplify140.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

740×	`div-sub_binary64_2129`
565×	`exp-sum_binary64_2170`
535×	`sub-neg_binary64_2117`
498×	`exp-diff_binary64_2172`
496×	`exp-prod_binary64_2176`
370×	`distribute-rgt-in_binary64_2074`
332×	`unsub-neg_binary64_2118`
324×	`times-frac_binary64_2130`
220×	`associate--r+_binary64_2060`
214×	`distribute-lft-in_binary64_2073`
165×	`associate--r-_binary64_2063`
156×	`distribute-neg-in_binary64_2085`
153×	`neg-mul-1_binary64_2120`
147×	`associate-/l*_binary64_2069`
110×	`associate-/r/_binary64_2070`
107×	`cancel-sign-sub-inv_binary64_2090` `associate-+l-_binary64_2059`
101×	`neg-sub0_binary64_2119`
98×	`associate-+l+_binary64_2057`
97×	`+-commutative_binary64_2054`
93×	`associate--l+_binary64_2061`
92×	`associate-+r+_binary64_2056`
84×	`cancel-sign-sub_binary64_2089`
81×	`associate-+r-_binary64_2058`
73×	`distribute-rgt-neg-in_binary64_2082`
68×	`distribute-lft-neg-out_binary64_2083`
66×	`distribute-lft-neg-in_binary64_2081`
52×	`associate-/l/_binary64_2071`
51×	`associate--l-_binary64_2062`
50×	`associate-l_binary64_2065`
49×	`*-commutative_binary64_2055`
48×	`sub0-neg_binary64_2111` `associate-/r*_binary64_2068`
39×	`distribute-rgt-neg-out_binary64_2084`
37×	`associate-r_binary64_2064`
36×	`exp-neg_binary64_2171`
34×	`distribute-frac-neg_binary64_2087`
33×	`associate-*r/_binary64_2066`
31×	`distribute-neg-frac_binary64_2088`
25×	`remove-double-neg_binary64_2112` `associate-*l/_binary64_2067`
21×	`distribute-neg-out_binary64_2086`
17×	`prod-exp_binary64_2173`
16×	`+-rgt-identity_binary64_2109`
15×	`*-lft-identity_binary64_2113`
13×	`rec-exp_binary64_2174`
11×	`div-exp_binary64_2175` `sqr-pow_binary64_2096`
10×	`distribute-rgt-out--_binary64_2078`
8×	`*-rgt-identity_binary64_2114` `+-lft-identity_binary64_2108` `distribute-rgt-out_binary64_2077`
7×	`--rgt-identity_binary64_2110`
3×	`pow-sqr_binary64_2097`
2×	`/-rgt-identity_binary64_2115` `div0_binary64_2105` `distribute-lft-out--_binary64_2076`
1×	`unpow3_binary64_2190` `pow-plus_binary64_2187` `exp-lft-sqr_binary64_2179` `exp-sqrt_binary64_2177` `1-exp_binary64_2168` `exp-1-e_binary64_2167` `cube-unmult_binary64_2161` `mul0-rgt_binary64_2107` `mul0-lft_binary64_2106` `distribute-rgt1-in_binary64_2080` `distribute-lft-out_binary64_2075`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_2387` `erf-erfc_binary64_2386` `erf-odd_binary64_2385` `if-if-and-not_binary64_2384` `if-if-and_binary64_2383` `if-if-or-not_binary64_2382` `if-if-or_binary64_2381` `if-not_binary64_2380` `if-same_binary64_2379` `if-false_binary64_2378` `if-true_binary64_2377` `not-gte_binary64_2376` `not-lte_binary64_2375` `not-gt_binary64_2374` `not-lt_binary64_2373` `gte-same_binary64_2372` `lte-same_binary64_2371` `gt-same_binary64_2370` `lt-same_binary64_2369` `sinh---cosh_binary64_2316` `sinh-+-cosh_binary64_2315` `sinh-cosh_binary64_2314` `tanh-def-c_binary64_2313` `tanh-def-b_binary64_2312` `tanh-def-a_binary64_2311` `cosh-def_binary64_2310` `sinh-def_binary64_2309` `tan-neg_binary64_2256` `cos-neg_binary64_2255` `sin-neg_binary64_2254` `tan-0_binary64_2253` `cos-0_binary64_2252` `sin-0_binary64_2251` `hang-m-tan_binary64_2250` `hang-p-tan_binary64_2249` `hang-m0-tan_binary64_2248` `hang-p0-tan_binary64_2247` `hang-0m-tan_binary64_2246` `hang-0p-tan_binary64_2245` `tan-+PI/2_binary64_2244` `tan-+PI_binary64_2243` `tan-PI_binary64_2242` `tan-PI/3_binary64_2241` `tan-PI/4_binary64_2240` `tan-PI/6_binary64_2239` `cos-+PI/2_binary64_2238` `cos-+PI_binary64_2237` `cos-PI_binary64_2236` `cos-PI/2_binary64_2235` `cos-PI/3_binary64_2234` `cos-PI/4_binary64_2233` `cos-PI/6_binary64_2232` `sin-+PI/2_binary64_2231` `sin-+PI_binary64_2230` `sin-PI_binary64_2229` `sin-PI/2_binary64_2228` `sin-PI/3_binary64_2227` `sin-PI/4_binary64_2226` `sin-PI/6_binary64_2225` `sub-1-sin_binary64_2224` `sub-1-cos_binary64_2223` `-1-add-sin_binary64_2222` `-1-add-cos_binary64_2221` `1-sub-sin_binary64_2220` `1-sub-cos_binary64_2219` `cos-sin-sum_binary64_2218` `log-E_binary64_2214` `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` `unpow2_binary64_2189` `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-cbrt_binary64_2178` `e-exp-1_binary64_2169` `exp-0_binary64_2166` `rem-log-exp_binary64_2165` `rem-exp-log_binary64_2164` `cube-mult_binary64_2154` `cube-div_binary64_2153` `cube-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` `mul-1-neg_binary64_2116` `*-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` `unswap-sqr_binary64_2092` `swap-sqr_binary64_2091` `distribute-lft1-in_binary64_2079` `count-2_binary64_2072`

Counts

1 → 1

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	28	46
1	57	46
2	157	44
3	416	44
4	929	44
5	1872	44
6	3261	44
7	4918	44
8	5000	44
9	4969	44

prune7.0ms (0%)

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

0.0b

Counts

2 → 1

Compiler

Compiled 58 to 52 computations (10.3% saved)

localize32.0ms (0%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 1 (exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT)))
0.0b	(/.f64 NaChar (+.f64 1 (exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT))))
0.0b	(/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT)
0.0b	(/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT)

rewrite293.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

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

Counts

4 → 137

Calls

4 calls:

15.0ms	(/.f64 NaChar (+.f64 1 (exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT))))
13.0ms	(/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT)
13.0ms	(/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT)
12.0ms	(+.f64 1 (exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT)))

Compiler

Compiled 5461 to 1584 computations (71% saved)

series2.8s (3.6%)

Error

Counts

4 → 110

Calls

4 calls:

1.3s	(/.f64 NaChar (+.f64 1 (exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT))))
513.0ms	(+.f64 1 (exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT)))
403.0ms	(/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT)
381.0ms	(/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT)

Compiler

Compiled 14023 to 8780 computations (37.4% saved)

simplify219.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

534×	`associate-/l*_binary64_2069`
517×	`associate-/r*_binary64_2068`
241×	`+-commutative_binary64_2054`
223×	`*-commutative_binary64_2055`
196×	`associate-+r+_binary64_2056`
122×	`distribute-rgt-in_binary64_2074`
120×	`sub-neg_binary64_2117` `distribute-lft-in_binary64_2073`
116×	`associate-*r/_binary64_2066`
115×	`associate-/r/_binary64_2070`
75×	`associate-/l/_binary64_2071`
65×	`associate-r_binary64_2064`
53×	`div-sub_binary64_2129`
47×	`distribute-neg-in_binary64_2085` `distribute-rgt-out_binary64_2077`
35×	`neg-sub0_binary64_2119`
31×	`neg-mul-1_binary64_2120`
27×	`associate--l+_binary64_2061`
24×	`sqr-pow_binary64_2096`
22×	`cancel-sign-sub-inv_binary64_2090`
16×	`distribute-neg-frac_binary64_2088`
14×	`/-rgt-identity_binary64_2115`
12×	`associate--r+_binary64_2060`
11×	`cube-prod_binary64_2152` `distribute-lft-out_binary64_2075`
10×	`times-frac_binary64_2130`
8×	`cube-div_binary64_2153`
7×	`exp-diff_binary64_2172` `cube-unmult_binary64_2161` `associate-l_binary64_2065`
6×	`log-div_binary64_2211` `unpow3_binary64_2190` `unpow2_binary64_2189` `unpow1/2_binary64_2188` `unpow1_binary64_2182` `exp-sum_binary64_2170` `cube-mult_binary64_2154` `mul-1-neg_binary64_2116` `distribute-rgt-neg-in_binary64_2082`
5×	`log-prod_binary64_2210`
4×	`exp-prod_binary64_2176` `prod-exp_binary64_2173` `*-lft-identity_binary64_2113` `distribute-lft-neg-in_binary64_2081`
3×	`-rgt-identity_binary64_2114` `associate-l/_binary64_2067`
2×	`swap-sqr_binary64_2091` `count-2_binary64_2072` `associate-+r-_binary64_2058` `associate-+l+_binary64_2057`
1×	`log-pow_binary64_2213` `pow-plus_binary64_2187` `1-exp_binary64_2168` `exp-1-e_binary64_2167` `unsub-neg_binary64_2118` `distribute-lft-neg-out_binary64_2083` `distribute-rgt-out--_binary64_2078` `associate--r-_binary64_2063` `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` `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` `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` `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_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` `difference-of-squares_binary64_2093` `unswap-sqr_binary64_2092` `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` `associate-+l-_binary64_2059`

Counts

247 → 196

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	847	9229
1	2299	8816
2	4955	8816
3	4987	8816

prune385.0ms (0.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	195	1	196
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	195	2	197

Error

Counts

197 → 2

Compiler

Compiled 9445 to 2982 computations (68.4% saved)

localize37.0ms (0%)

Local error

Found 4 expressions with local error:

0.1b	(/.f64 NaChar (*.f64 (cbrt.f64 (+.f64 1 (exp.f64 (/.f64 (+.f64 Ev (-.f64 (+.f64 EAccept Vef) mu)) KbT)))) (cbrt.f64 (+.f64 1 (exp.f64 (/.f64 (+.f64 Ev (-.f64 (+.f64 EAccept Vef) mu)) KbT))))))
0.2b	(cbrt.f64 (+.f64 1 (exp.f64 (/.f64 (+.f64 Ev (-.f64 (+.f64 EAccept Vef) mu)) KbT))))
0.2b	(cbrt.f64 (+.f64 1 (exp.f64 (/.f64 (+.f64 Ev (-.f64 (+.f64 EAccept Vef) mu)) KbT))))
0.2b	(cbrt.f64 (+.f64 1 (exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT))))

rewrite274.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

18×	`cbrt-div_binary64_2156`
15×	`*-un-lft-identity_binary64_2124`
12×	`cbrt-prod_binary64_2155`
9×	`add-exp-log_binary64_2162` `add-cube-cbrt_binary64_2159` `flip3-+_binary64_2127` `flip-+_binary64_2098` `add-sqr-sqrt_binary64_2146`
8×	`associate-/r/_binary64_2070`
7×	`add-cbrt-cube_binary64_2160`
4×	`pow1_binary64_2185` `add-log-exp_binary64_2163` `frac-times_binary64_2134`
3×	`pow1/3_binary64_2206` `distribute-lft-out_binary64_2075` `times-frac_binary64_2130` `associate-/l*_binary64_2069`
2×	`div-exp_binary64_2175` `cbrt-undiv_binary64_2158` `associate-l/_binary64_2067` `associate-r/_binary64_2066`
1×	`prod-exp_binary64_2173` `cbrt-unprod_binary64_2157` `frac-2neg_binary64_2135` `clear-num_binary64_2123` `div-inv_binary64_2121` `associate-/r*_binary64_2068`

Counts

4 → 71

Calls

4 calls:

33.0ms	(/.f64 NaChar (*.f64 (cbrt.f64 (+.f64 1 (exp.f64 (/.f64 (+.f64 Ev (-.f64 (+.f64 EAccept Vef) mu)) KbT)))) (cbrt.f64 (+.f64 1 (exp.f64 (/.f64 (+.f64 Ev (-.f64 (+.f64 EAccept Vef) mu)) KbT))))))
15.0ms	(cbrt.f64 (+.f64 1 (exp.f64 (/.f64 (+.f64 Ev (-.f64 (+.f64 EAccept Vef) mu)) KbT))))
13.0ms	(cbrt.f64 (+.f64 1 (exp.f64 (/.f64 (+.f64 Ev (-.f64 (+.f64 EAccept Vef) mu)) KbT))))
13.0ms	(cbrt.f64 (+.f64 1 (exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT))))

Compiler

Compiled 5435 to 1604 computations (70.5% saved)

series1.1min (83.1%)

Error

Counts

4 → 111

Calls

4 calls:

58.1s	(/.f64 NaChar (*.f64 (cbrt.f64 (+.f64 1 (exp.f64 (/.f64 (+.f64 Ev (-.f64 (+.f64 EAccept Vef) mu)) KbT)))) (cbrt.f64 (+.f64 1 (exp.f64 (/.f64 (+.f64 Ev (-.f64 (+.f64 EAccept Vef) mu)) KbT))))))
2.0s	(cbrt.f64 (+.f64 1 (exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT))))
1.9s	(cbrt.f64 (+.f64 1 (exp.f64 (/.f64 (+.f64 Ev (-.f64 (+.f64 EAccept Vef) mu)) KbT))))
1.9s	(cbrt.f64 (+.f64 1 (exp.f64 (/.f64 (+.f64 Ev (-.f64 (+.f64 EAccept Vef) mu)) KbT))))

Compiler

Compiled 51319 to 29805 computations (41.9% saved)

simplify385.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

723×	`*-commutative_binary64_2055`
411×	`associate-r_binary64_2064`
315×	`associate-+r+_binary64_2056`
219×	`associate-/l*_binary64_2069`
172×	`sqr-pow_binary64_2096`
137×	`associate-*r/_binary64_2066`
124×	`associate-/r*_binary64_2068`
114×	`times-frac_binary64_2130`
111×	`sub-neg_binary64_2117`
104×	`associate-*l/_binary64_2067`
33×	`unpow1/3_binary64_2191`
31×	`neg-mul-1_binary64_2120` `neg-sub0_binary64_2119`
26×	`associate--l+_binary64_2061`
20×	`unpow2_binary64_2189` `unpow1_binary64_2182`
19×	`associate--r+_binary64_2060`
12×	`unpow3_binary64_2190` `cube-mult_binary64_2154`
10×	`prod-exp_binary64_2173`
9×	`cancel-sign-sub-inv_binary64_2090`
8×	`distribute-lft-out_binary64_2075`
7×	`exp-diff_binary64_2172` `div-sub_binary64_2129`
6×	`associate-l_binary64_2065`
5×	`cube-unmult_binary64_2161`
4×	`cube-prod_binary64_2152`
3×	`*-lft-identity_binary64_2113`
2×	`log-div_binary64_2211` `log-prod_binary64_2210` `rem-3cbrt-lft_binary64_2149` `distribute-rgt-out--_binary64_2078` `associate-+r-_binary64_2058`
1×	`log-pow_binary64_2213` `pow-plus_binary64_2187` `exp-prod_binary64_2176` `1-exp_binary64_2168` `rem-sqrt-square_binary64_2137` `*-rgt-identity_binary64_2114` `pow-sqr_binary64_2097` `unswap-sqr_binary64_2092` `distribute-rgt-neg-in_binary64_2082` `distribute-lft-neg-in_binary64_2081` `distribute-rgt-in_binary64_2074` `distribute-lft-in_binary64_2073` `count-2_binary64_2072` `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` `log-rec_binary64_2212` `pow-base-0_binary64_2208` `unpow1/2_binary64_2188` `exp-to-pow_binary64_2186` `pow-base-1_binary64_2184` `unpow0_binary64_2183` `unpow-1_binary64_2181` `exp-lft-cube_binary64_2180` `exp-lft-sqr_binary64_2179` `exp-cbrt_binary64_2178` `exp-sqrt_binary64_2177` `div-exp_binary64_2175` `rec-exp_binary64_2174` `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-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` `rem-square-sqrt_binary64_2136` `unsub-neg_binary64_2118` `mul-1-neg_binary64_2116` `/-rgt-identity_binary64_2115` `remove-double-neg_binary64_2112` `sub0-neg_binary64_2111` `--rgt-identity_binary64_2110` `+-rgt-identity_binary64_2109` `+-lft-identity_binary64_2108` `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` `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-neg-in_binary64_2085` `distribute-rgt-neg-out_binary64_2084` `distribute-lft-neg-out_binary64_2083` `distribute-rgt1-in_binary64_2080` `distribute-lft1-in_binary64_2079` `distribute-rgt-out_binary64_2077` `distribute-lft-out--_binary64_2076` `associate-/l/_binary64_2071` `associate-/r/_binary64_2070` `associate--r-_binary64_2063` `associate--l-_binary64_2062` `associate-+l-_binary64_2059` `+-commutative_binary64_2054`

Counts

182 → 163

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1660	28027
1	4691	27603
2	5009	27603

prune1.2s (1.5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	163	0	163
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	163	2	165

Error

Counts

165 → 2

Compiler

Compiled 24544 to 10000 computations (59.3% saved)

regimes2.0s (2.6%)

Accuracy

Total 0.0b remaining (18.6%)

Threshold costs 0.0b (18.6%)

Compiler

Compiled 31240 to 20888 computations (33.1% saved)

bsearch0.0ms (0%)

simplify20.0ms (0%)

Algorithm

1×	egg-herbie

Rules

71×	`unsub-neg_binary64_2118`
49×	`neg-mul-1_binary64_2120` `neg-sub0_binary64_2119`
39×	`distribute-neg-out_binary64_2086`
24×	`remove-double-neg_binary64_2112`
21×	`distribute-rgt-neg-out_binary64_2084` `distribute-rgt-neg-in_binary64_2082`
19×	`sub-neg_binary64_2117` `+-commutative_binary64_2054`
18×	`cancel-sign-sub-inv_binary64_2090` `distribute-neg-in_binary64_2085`
16×	`distribute-lft-neg-out_binary64_2083`
15×	`distribute-lft-neg-in_binary64_2081`
9×	`*-commutative_binary64_2055`
3×	`distribute-frac-neg_binary64_2087`
1×	`1-exp_binary64_2168` `sqr-neg_binary64_2138` `--rgt-identity_binary64_2110`
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` `mul-1-neg_binary64_2116` `/-rgt-identity_binary64_2115` `-rgt-identity_binary64_2114` `-lft-identity_binary64_2113` `sub0-neg_binary64_2111` `+-rgt-identity_binary64_2109` `+-lft-identity_binary64_2108` `cancel-sign-sub_binary64_2089` `distribute-neg-frac_binary64_2088`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	44
1	41	44
2	57	44
3	77	44
4	104	44
5	126	44
6	142	44
7	211	44
8	182	44
9	187	44
10	193	44
11	201	44
12	211	44
13	219	44
14	223	44
15	224	44
16	223	44

Remove

(sort Ev EAccept)

Compiler

Compiled 58 to 52 computations (10.3% saved)

end0.0ms (0%)

sample3.2s (4.1%)

Algorithm

1×

intervals

Results

766.0ms	7998×	body	128	valid
0.0ms	1×	body	1024	valid
0.0ms	1×	body	512	valid

Compiler

Compiled 3177 to 2131 computations (32.9% saved)

Iter	Nodes	Cost
0	26	44
1	41	44
2	57	44
3	77	44
4	104	44
5	126	44
6	142	44
7	211	44
8	182	44
9	187	44
10	193	44
11	201	44
12	211	44
13	219	44
14	223	44
15	224	44
16	223	44

Iter	Nodes	Cost
0	26	44
1	41	44
2	57	44
3	77	44
4	104	44
5	126	44
6	142	44
7	211	44
8	182	44
9	187	44
10	193	44
11	201	44
12	211	44
13	219	44
14	223	44
15	224	44
16	223	44

Details

analyze2.2s (2.8%)

sample55.0ms (0.1%)

simplify140.0ms (0.2%)

prune7.0ms (0%)

localize32.0ms (0%)

rewrite293.0ms (0.4%)

series2.8s (3.6%)

simplify219.0ms (0.3%)

prune385.0ms (0.5%)

localize37.0ms (0%)

rewrite274.0ms (0.3%)

series1.1min (83.1%)

simplify385.0ms (0.5%)

prune1.2s (1.5%)

regimes2.0s (2.6%)

bsearch0.0ms (0%)

simplify20.0ms (0%)

end0.0ms (0%)

sample3.2s (4.1%)

Profiling

Iter	Nodes	Cost
0	26	44
1	41	44
2	57	44
3	77	44
4	104	44
5	126	44
6	142	44
7	211	44
8	182	44
9	187	44
10	193	44
11	201	44
12	211	44
13	219	44
14	223	44
15	224	44
16	223	44