Details

analyze161.0ms (8.1%)

Algorithm

1×	search
2×	egg-herbie

Rules

32×	`distribute-rgt-in_binary64_2074`
27×	`cancel-sign-sub-inv_binary64_2090`
26×	`distribute-lft-in_binary64_2073`
25×	`sub-neg_binary64_2117`
17×	`div-sub_binary64_2129`
16×	`distribute-lft-neg-out_binary64_2083`
15×	`unsub-neg_binary64_2118` `distribute-rgt-neg-in_binary64_2082`
14×	`associate-/l*_binary64_2069`
13×	`neg-mul-1_binary64_2120` `distribute-rgt-neg-out_binary64_2084` `associate-/r*_binary64_2068`
12×	`associate--r+_binary64_2060`
10×	`distribute-neg-frac_binary64_2088`
9×	`neg-sub0_binary64_2119`
8×	`distribute-neg-in_binary64_2085` `distribute-lft-neg-in_binary64_2081`
7×	`associate-l_binary64_2065` `*-commutative_binary64_2055`
6×	`-lft-identity_binary64_2113` `associate-l/_binary64_2067` `associate-r_binary64_2064` `associate--r-_binary64_2063` `+-commutative_binary64_2054`
5×	`sub0-neg_binary64_2111` `associate-/l/_binary64_2071` `associate-/r/_binary64_2070` `associate-*r/_binary64_2066` `associate-+l-_binary64_2059`
3×	`*-rgt-identity_binary64_2114` `+-lft-identity_binary64_2108` `mul0-rgt_binary64_2107` `mul0-lft_binary64_2106` `associate--l+_binary64_2061` `associate-+l+_binary64_2057`
2×	`/-rgt-identity_binary64_2115` `remove-double-neg_binary64_2112` `div0_binary64_2105` `distribute-rgt1-in_binary64_2080` `associate--l-_binary64_2062`
1×	`1-exp_binary64_2168` `--rgt-identity_binary64_2110` `+-rgt-identity_binary64_2109` `distribute-lft-out--_binary64_2076` `distribute-lft-out_binary64_2075` `associate-+r-_binary64_2058` `associate-+r+_binary64_2056`
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` `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` `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-frac-neg_binary64_2087` `distribute-neg-out_binary64_2086` `distribute-lft1-in_binary64_2079` `distribute-rgt-out--_binary64_2078` `distribute-rgt-out_binary64_2077` `count-2_binary64_2072`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	9
1	14	9
2	17	9
3	21	9
4	28	9
5	35	9
6	52	9
7	78	9
8	97	9
9	131	9
10	183	9
11	192	9
12	207	9
13	205	9
14	168	9
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
25%	75%	0%	3
62.5%	25%	12.5%	4
68.7%	12.5%	18.8%	5
71.8%	6.2%	21.9%	6
73.4%	3.1%	23.5%	7
74.2%	1.6%	24.3%	8
74.6%	0.8%	24.6%	9
75%	0.4%	24.6%	10
75.1%	0.2%	24.7%	11
75.1%	0.1%	24.8%	12
75.1%	0%	24.8%	13
75.2%	0%	24.8%	14

Compiler

Compiled 7 to 6 computations (14.3% saved)

sample29.0ms (1.4%)

Algorithm

1×

intervals

Results

12.0ms	86×	body	1024	valid
4.0ms	44×	body	512	valid
2.0ms	88×	body	128	valid
2.0ms	32×	body	256	valid
1.0ms	6×	body	2048	valid

Compiler

Compiled 13 to 12 computations (7.7% saved)

simplify16.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

32×	`distribute-rgt-in_binary64_2074`
27×	`cancel-sign-sub-inv_binary64_2090`
26×	`distribute-lft-in_binary64_2073`
25×	`sub-neg_binary64_2117`
17×	`div-sub_binary64_2129`
16×	`distribute-lft-neg-out_binary64_2083`
15×	`unsub-neg_binary64_2118` `distribute-rgt-neg-in_binary64_2082`
14×	`associate-/l*_binary64_2069`
13×	`neg-mul-1_binary64_2120` `distribute-rgt-neg-out_binary64_2084` `associate-/r*_binary64_2068`
12×	`associate--r+_binary64_2060`
10×	`distribute-neg-frac_binary64_2088`
9×	`neg-sub0_binary64_2119`
8×	`distribute-neg-in_binary64_2085` `distribute-lft-neg-in_binary64_2081`
7×	`associate-l_binary64_2065` `*-commutative_binary64_2055`
6×	`-lft-identity_binary64_2113` `associate-l/_binary64_2067` `associate-r_binary64_2064` `associate--r-_binary64_2063` `+-commutative_binary64_2054`
5×	`sub0-neg_binary64_2111` `associate-/l/_binary64_2071` `associate-/r/_binary64_2070` `associate-*r/_binary64_2066` `associate-+l-_binary64_2059`
3×	`*-rgt-identity_binary64_2114` `+-lft-identity_binary64_2108` `mul0-rgt_binary64_2107` `mul0-lft_binary64_2106` `associate--l+_binary64_2061` `associate-+l+_binary64_2057`
2×	`/-rgt-identity_binary64_2115` `remove-double-neg_binary64_2112` `div0_binary64_2105` `distribute-rgt1-in_binary64_2080` `associate--l-_binary64_2062`
1×	`1-exp_binary64_2168` `--rgt-identity_binary64_2110` `+-rgt-identity_binary64_2109` `distribute-lft-out--_binary64_2076` `distribute-lft-out_binary64_2075` `associate-+r-_binary64_2058` `associate-+r+_binary64_2056`
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` `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` `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-frac-neg_binary64_2087` `distribute-neg-out_binary64_2086` `distribute-lft1-in_binary64_2079` `distribute-rgt-out--_binary64_2078` `distribute-rgt-out_binary64_2077` `count-2_binary64_2072`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	9
1	14	9
2	17	9
3	21	9
4	28	9
5	35	9
6	52	9
7	78	9
8	97	9
9	131	9
10	183	9
11	192	9
12	207	9
13	205	9
14	168	9

prune2.0ms (0.1%)

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

42.2b

Counts

1 → 1

Compiler

Compiled 6 to 5 computations (16.7% saved)

localize4.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (-.f64 (exp.f64 x) 1) x)
4.5b	(-.f64 (exp.f64 x) 1)

rewrite101.0ms (5.1%)

Algorithm

1×	rewrite-expression-head

Error

41.9b

Rules

35×	`add-sqr-sqrt_binary64_2146`
30×	`*-un-lft-identity_binary64_2124`
21×	`times-frac_binary64_2130`
15×	`add-cube-cbrt_binary64_2159`
10×	`difference-of-squares_binary64_2093`
7×	`associate-/l*_binary64_2069`
5×	`difference-of-sqr-1_binary64_2094` `distribute-lft-out--_binary64_2076`
4×	`add-log-exp_binary64_2163` `add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`
3×	`cancel-sign-sub-inv_binary64_2090` `associate-/r*_binary64_2068`
2×	`pow1_binary64_2185` `flip3--_binary64_2128` `flip--_binary64_2099` `associate-/l/_binary64_2071`
1×	`diff-log_binary64_2216` `sub-neg_binary64_2117` `div-exp_binary64_2175` `cbrt-undiv_binary64_2158` `frac-2neg_binary64_2135` `div-sub_binary64_2129` `clear-num_binary64_2123` `div-inv_binary64_2121`

Counts

2 → 64

Calls

2 calls:

7.0ms	(/.f64 (-.f64 (exp.f64 x) 1) x)
5.0ms	(-.f64 (exp.f64 x) 1)

Compiler

Compiled 754 to 428 computations (43.2% saved)

series86.0ms (4.3%)

Error

Counts

2 → 10

Calls

2 calls:

49.0ms	(/.f64 (-.f64 (exp.f64 x) 1) x)
25.0ms	(-.f64 (exp.f64 x) 1)

Compiler

Compiled 192 to 156 computations (18.8% saved)

simplify104.0ms (5.3%)

Algorithm

1×	egg-herbie

Rules

486×	`associate-/l*_binary64_2069`
332×	`associate-*l/_binary64_2067`
294×	`associate-/l/_binary64_2071` `associate-/r*_binary64_2068`
268×	`distribute-rgt-in_binary64_2074`
267×	`associate-/r/_binary64_2070`
239×	`distribute-lft-in_binary64_2073`
185×	`div-sub_binary64_2129`
164×	`log-div_binary64_2211`
156×	`associate-*r/_binary64_2066`
146×	`neg-sub0_binary64_2119`
135×	`neg-mul-1_binary64_2120`
124×	`cube-div_binary64_2153`
116×	`exp-prod_binary64_2176`
86×	`times-frac_binary64_2130`
77×	`cube-prod_binary64_2152`
64×	`log-prod_binary64_2210`
63×	`associate-l_binary64_2065`
59×	`associate-r_binary64_2064`
56×	`distribute-lft-neg-out_binary64_2083`
54×	`distribute-rgt-neg-out_binary64_2084` `distribute-rgt-out_binary64_2077`
45×	`sub-neg_binary64_2117` `*-commutative_binary64_2055`
41×	`exp-sum_binary64_2170`
38×	`distribute-frac-neg_binary64_2087`
33×	`exp-diff_binary64_2172`
32×	`+-commutative_binary64_2054`
28×	`distribute-neg-frac_binary64_2088`
27×	`sqr-pow_binary64_2096`
26×	`cancel-sign-sub-inv_binary64_2090` `distribute-rgt-neg-in_binary64_2082` `associate-+l-_binary64_2059`
24×	`distribute-lft-out_binary64_2075`
22×	`associate-+r-_binary64_2058`
19×	`distribute-lft-neg-in_binary64_2081`
18×	`log-rec_binary64_2212` `unpow3_binary64_2190` `distribute-neg-in_binary64_2085`
15×	`unsub-neg_binary64_2118` `unswap-sqr_binary64_2092`
14×	`cube-neg_binary64_2151` `sqr-neg_binary64_2138` `associate-+r+_binary64_2056`
13×	`prod-exp_binary64_2173` `cube-unmult_binary64_2161` `/-rgt-identity_binary64_2115`
12×	`mul-1-neg_binary64_2116` `*-lft-identity_binary64_2113` `associate--r+_binary64_2060`
11×	`*-rgt-identity_binary64_2114`
10×	`cube-mult_binary64_2154` `distribute-rgt1-in_binary64_2080`
9×	`div-exp_binary64_2175` `exp-neg_binary64_2171` `associate--l+_binary64_2061` `associate-+l+_binary64_2057`
8×	`swap-sqr_binary64_2091` `associate--r-_binary64_2063`
7×	`rec-exp_binary64_2174`
6×	`rem-sqrt-square_binary64_2137` `associate--l-_binary64_2062`
5×	`pow-plus_binary64_2187` `distribute-lft1-in_binary64_2079`
4×	`log-pow_binary64_2213` `cancel-sign-sub_binary64_2089`
3×	`unpow1/2_binary64_2188` `pow-sqr_binary64_2097` `difference-of-sqr-1_binary64_2094` `count-2_binary64_2072`
2×	`remove-double-neg_binary64_2112` `+-rgt-identity_binary64_2109`
1×	`unpow2_binary64_2189` `unpow1_binary64_2182` `exp-lft-sqr_binary64_2179` `1-exp_binary64_2168` `exp-1-e_binary64_2167` `rem-3cbrt-lft_binary64_2149` `sub0-neg_binary64_2111` `div0_binary64_2105` `remove-double-div_binary64_2100` `difference-of-sqr--1_binary64_2095`
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-cbrt_binary64_2178` `exp-sqrt_binary64_2177` `e-exp-1_binary64_2169` `exp-0_binary64_2166` `rem-log-exp_binary64_2165` `rem-exp-log_binary64_2164` `rem-3cbrt-rft_binary64_2150` `rem-cbrt-cube_binary64_2148` `rem-cube-cbrt_binary64_2147` `sqr-abs_binary64_2139` `rem-square-sqrt_binary64_2136` `--rgt-identity_binary64_2110` `+-lft-identity_binary64_2108` `mul0-rgt_binary64_2107` `mul0-lft_binary64_2106` `*-inverses_binary64_2104` `+-inverses_binary64_2103` `lft-mult-inverse_binary64_2102` `rgt-mult-inverse_binary64_2101` `difference-of-squares_binary64_2093` `distribute-neg-out_binary64_2086` `distribute-rgt-out--_binary64_2078` `distribute-lft-out--_binary64_2076`

Counts

74 → 38

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	105	1094
1	223	1041
2	481	1035
3	1160	1035
4	4130	1035
5	4984	1035
6	4959	1035

prune25.0ms (1.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	37	1	38
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	37	2	39

Error

Counts

39 → 2

Compiler

Compiled 279 to 165 computations (40.9% saved)

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(.f64 x (+.f64 1/2 (.f64 x 1/6)))
0.3b	(*.f64 x 1/6)

rewrite58.0ms (2.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

10×	`add-sqr-sqrt_binary64_2146`
6×	`pow1_binary64_2185` `add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160` `add-cube-cbrt_binary64_2159` `-un-lft-identity_binary64_2124` `associate-l_binary64_2065` `associate-r*_binary64_2064`
2×	`pow-prod-down_binary64_2195` `prod-exp_binary64_2173` `add-log-exp_binary64_2163` `cbrt-unprod_binary64_2157` `unswap-sqr_binary64_2092` `-commutative_binary64_2055` `associate-r/_binary64_2066`
1×	`distribute-rgt-in_binary64_2074` `distribute-lft-in_binary64_2073` `flip3-+_binary64_2127` `flip-+_binary64_2098`

Counts

2 → 40

Calls

2 calls:

8.0ms	(.f64 x (+.f64 1/2 (.f64 x 1/6)))
4.0ms	(*.f64 x 1/6)

Compiler

Compiled 562 to 435 computations (22.6% saved)

series108.0ms (5.5%)

Error

Counts

2 → 9

Calls

2 calls:

78.0ms	(.f64 x (+.f64 1/2 (.f64 x 1/6)))
25.0ms	(*.f64 x 1/6)

Compiler

Compiled 171 to 154 computations (9.9% saved)

simplify95.0ms (4.8%)

Algorithm

1×	egg-herbie

Rules

478×	`associate-l_binary64_2065`
405×	`distribute-rgt-out_binary64_2077`
359×	`+-commutative_binary64_2054`
351×	`associate-r_binary64_2064`
336×	`distribute-lft-out_binary64_2075`
297×	`unswap-sqr_binary64_2092`
241×	`distribute-rgt-in_binary64_2074`
238×	`distribute-lft-in_binary64_2073`
197×	`sqr-pow_binary64_2096`
165×	`associate-/l*_binary64_2069`
148×	`associate-+l+_binary64_2057`
143×	`associate-+r+_binary64_2056`
137×	`distribute-rgt-neg-in_binary64_2082`
119×	`distribute-lft-neg-in_binary64_2081`
108×	`log-prod_binary64_2210`
94×	`exp-prod_binary64_2176`
90×	`rem-sqrt-square_binary64_2137`
79×	`associate-/l/_binary64_2071`
76×	`*-commutative_binary64_2055`
68×	`cancel-sign-sub-inv_binary64_2090`
64×	`pow-sqr_binary64_2097`
55×	`associate-/r/_binary64_2070`
52×	`log-div_binary64_2211`
36×	`cube-prod_binary64_2152`
35×	`neg-mul-1_binary64_2120` `neg-sub0_binary64_2119` `swap-sqr_binary64_2091`
30×	`sub-neg_binary64_2117`
25×	`*-lft-identity_binary64_2113`
23×	`*-rgt-identity_binary64_2114`
16×	`distribute-rgt1-in_binary64_2080`
13×	`distribute-lft-neg-out_binary64_2083`
11×	`distribute-rgt-neg-out_binary64_2084`
10×	`difference-of-squares_binary64_2093`
9×	`unpow3_binary64_2190` `unpow1/2_binary64_2188` `count-2_binary64_2072`
8×	`pow-plus_binary64_2187`
7×	`cube-unmult_binary64_2161`
6×	`log-rec_binary64_2212` `exp-sum_binary64_2170` `associate-*r/_binary64_2066`
5×	`log-pow_binary64_2213` `associate-/r*_binary64_2068`
4×	`sub0-neg_binary64_2111` `associate-+l-_binary64_2059`
3×	`cube-mult_binary64_2154` `cube-div_binary64_2153` `times-frac_binary64_2130` `unsub-neg_binary64_2118` `distribute-neg-frac_binary64_2088` `distribute-rgt-out--_binary64_2078`
2×	`--rgt-identity_binary64_2110` `distribute-neg-in_binary64_2085`
1×	`unpow2_binary64_2189` `unpow1_binary64_2182` `exp-lft-sqr_binary64_2179` `exp-sqrt_binary64_2177` `prod-exp_binary64_2173` `1-exp_binary64_2168` `exp-1-e_binary64_2167` `+-rgt-identity_binary64_2109` `distribute-lft1-in_binary64_2079` `distribute-lft-out--_binary64_2076` `associate--r+_binary64_2060` `associate-+r-_binary64_2058`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_2387` `erf-erfc_binary64_2386` `erf-odd_binary64_2385` `if-if-and-not_binary64_2384` `if-if-and_binary64_2383` `if-if-or-not_binary64_2382` `if-if-or_binary64_2381` `if-not_binary64_2380` `if-same_binary64_2379` `if-false_binary64_2378` `if-true_binary64_2377` `not-gte_binary64_2376` `not-lte_binary64_2375` `not-gt_binary64_2374` `not-lt_binary64_2373` `gte-same_binary64_2372` `lte-same_binary64_2371` `gt-same_binary64_2370` `lt-same_binary64_2369` `sinh---cosh_binary64_2316` `sinh-+-cosh_binary64_2315` `sinh-cosh_binary64_2314` `tanh-def-c_binary64_2313` `tanh-def-b_binary64_2312` `tanh-def-a_binary64_2311` `cosh-def_binary64_2310` `sinh-def_binary64_2309` `tan-neg_binary64_2256` `cos-neg_binary64_2255` `sin-neg_binary64_2254` `tan-0_binary64_2253` `cos-0_binary64_2252` `sin-0_binary64_2251` `hang-m-tan_binary64_2250` `hang-p-tan_binary64_2249` `hang-m0-tan_binary64_2248` `hang-p0-tan_binary64_2247` `hang-0m-tan_binary64_2246` `hang-0p-tan_binary64_2245` `tan-+PI/2_binary64_2244` `tan-+PI_binary64_2243` `tan-PI_binary64_2242` `tan-PI/3_binary64_2241` `tan-PI/4_binary64_2240` `tan-PI/6_binary64_2239` `cos-+PI/2_binary64_2238` `cos-+PI_binary64_2237` `cos-PI_binary64_2236` `cos-PI/2_binary64_2235` `cos-PI/3_binary64_2234` `cos-PI/4_binary64_2233` `cos-PI/6_binary64_2232` `sin-+PI/2_binary64_2231` `sin-+PI_binary64_2230` `sin-PI_binary64_2229` `sin-PI/2_binary64_2228` `sin-PI/3_binary64_2227` `sin-PI/4_binary64_2226` `sin-PI/6_binary64_2225` `sub-1-sin_binary64_2224` `sub-1-cos_binary64_2223` `-1-add-sin_binary64_2222` `-1-add-cos_binary64_2221` `1-sub-sin_binary64_2220` `1-sub-cos_binary64_2219` `cos-sin-sum_binary64_2218` `log-E_binary64_2214` `pow-base-0_binary64_2208` `unpow1/3_binary64_2191` `exp-to-pow_binary64_2186` `pow-base-1_binary64_2184` `unpow0_binary64_2183` `unpow-1_binary64_2181` `exp-lft-cube_binary64_2180` `exp-cbrt_binary64_2178` `div-exp_binary64_2175` `rec-exp_binary64_2174` `exp-diff_binary64_2172` `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-square-sqrt_binary64_2136` `div-sub_binary64_2129` `mul-1-neg_binary64_2116` `/-rgt-identity_binary64_2115` `remove-double-neg_binary64_2112` `+-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-frac-neg_binary64_2087` `distribute-neg-out_binary64_2086` `associate-l/_binary64_2067` `associate--r-_binary64_2063` `associate--l-_binary64_2062` `associate--l+_binary64_2061`

Counts

49 → 37

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	75	500
1	174	458
2	538	458
3	1478	458
4	2539	458
5	3506	458
6	4865	458
7	4923	458

prune31.0ms (1.6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	37	0	37
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	37	2	39

Error

Counts

39 → 2

Compiler

Compiled 401 to 309 computations (22.9% saved)

regimes116.0ms (5.9%)

Accuracy

Total 0.2b remaining (82.5%)

Threshold costs 0.2b (82.5%)

Compiler

Compiled 608 to 498 computations (18.1% saved)

bsearch27.0ms (1.4%)

Steps

Iters	Range		Point
10	-4758985003.5762615	-1.1991627959135054e-09	-0.00017862444022647447

Compiler

Compiled 1 to 1 computations (0% saved)

simplify4.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64_2055` `+-commutative_binary64_2054`
1×	`1-exp_binary64_2168` `sub-neg_binary64_2117`
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` `neg-mul-1_binary64_2120` `neg-sub0_binary64_2119` `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	21	53
1	31	53
2	32	53
3	30	53

end2.0ms (0.1%)

Compiler: Compiled 34 to 26 computations (23.5% saved)

sample1.0s (50.9%)

Algorithm

1×

intervals

Results

391.0ms	2647×	body	1024	valid
108.0ms	1303×	body	512	valid
83.0ms	3075×	body	128	valid
62.0ms	319×	body	2048	valid
35.0ms	656×	body	256	valid
0.0ms	1×	body	128	invalid

Compiler

Compiled 81 to 67 computations (17.3% saved)

Iter	Nodes	Cost
0	6	9
1	14	9
2	17	9
3	21	9
4	28	9
5	35	9
6	52	9
7	78	9
8	97	9
9	131	9
10	183	9
11	192	9
12	207	9
13	205	9
14	168	9
0	1	1
1	1	1

Iter	Nodes	Cost
0	6	9
1	14	9
2	17	9
3	21	9
4	28	9
5	35	9
6	52	9
7	78	9
8	97	9
9	131	9
10	183	9
11	192	9
12	207	9
13	205	9
14	168	9

Iter	Nodes	Cost
0	6	9
1	14	9
2	17	9
3	21	9
4	28	9
5	35	9
6	52	9
7	78	9
8	97	9
9	131	9
10	183	9
11	192	9
12	207	9
13	205	9
14	168	9
0	1	1
1	1	1

Iter	Nodes	Cost
0	6	9
1	14	9
2	17	9
3	21	9
4	28	9
5	35	9
6	52	9
7	78	9
8	97	9
9	131	9
10	183	9
11	192	9
12	207	9
13	205	9
14	168	9

Details

analyze161.0ms (8.1%)

sample29.0ms (1.4%)

simplify16.0ms (0.8%)

prune2.0ms (0.1%)

localize4.0ms (0.2%)

rewrite101.0ms (5.1%)

series86.0ms (4.3%)

simplify104.0ms (5.3%)

prune25.0ms (1.3%)

localize6.0ms (0.3%)

rewrite58.0ms (2.9%)

series108.0ms (5.5%)

simplify95.0ms (4.8%)

prune31.0ms (1.6%)

regimes116.0ms (5.9%)

bsearch27.0ms (1.4%)

simplify4.0ms (0.2%)

end2.0ms (0.1%)

sample1.0s (50.9%)

Profiling

Iter	Nodes	Cost
0	6	9
1	14	9
2	17	9
3	21	9
4	28	9
5	35	9
6	52	9
7	78	9
8	97	9
9	131	9
10	183	9
11	192	9
12	207	9
13	205	9
14	168	9
0	1	1
1	1	1

Iter	Nodes	Cost
0	6	9
1	14	9
2	17	9
3	21	9
4	28	9
5	35	9
6	52	9
7	78	9
8	97	9
9	131	9
10	183	9
11	192	9
12	207	9
13	205	9
14	168	9