Details

analyze117.0ms (1.2%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
25%	68.7%	6.3%	6
25%	53.1%	22%	7
25%	46.8%	28.2%	8
25%	33.6%	41.5%	9
28.1%	18%	54%	10
31.6%	12.1%	56.3%	11
33.4%	5.9%	60.8%	12
35.2%	3.8%	61%	13
36.1%	2.9%	61%	14

Compiler

Compiled 30 to 20 computations (33.3% saved)

sample25.0ms (0.3%)

Algorithm

1×

intervals

Results

15.0ms

256×

body

128

valid

Compiler

Compiled 59 to 41 computations (30.5% saved)

simplify174.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

705×	`unsub-neg_binary64_2118`
556×	`cancel-sign-sub-inv_binary64_2090`
344×	`+-commutative_binary64_2054`
342×	`distribute-rgt-in_binary64_2074`
317×	`sub-neg_binary64_2117`
271×	`associate-l_binary64_2065`
266×	`distribute-rgt-neg-in_binary64_2082`
248×	`distribute-lft-in_binary64_2073`
233×	`neg-sub0_binary64_2119`
226×	`neg-mul-1_binary64_2120`
213×	`associate-r_binary64_2064`
206×	`distribute-lft-neg-in_binary64_2081`
185×	`associate--l+_binary64_2061`
173×	`associate-+l+_binary64_2057`
162×	`unswap-sqr_binary64_2092`
155×	`distribute-rgt-out_binary64_2077`
153×	`distribute-neg-in_binary64_2085`
151×	`associate-+r+_binary64_2056`
102×	`*-commutative_binary64_2055`
76×	`distribute-lft-out_binary64_2075`
73×	`associate-+l-_binary64_2059`
64×	`distribute-lft-neg-out_binary64_2083`
48×	`associate-+r-_binary64_2058`
45×	`difference-of-sqr--1_binary64_2095`
44×	`remove-double-neg_binary64_2112`
43×	`distribute-rgt-neg-out_binary64_2084`
41×	`*-rgt-identity_binary64_2114`
38×	`associate--r+_binary64_2060`
31×	`sqr-pow_binary64_2096`
29×	`*-lft-identity_binary64_2113`
16×	`cube-prod_binary64_2152`
13×	`pow-plus_binary64_2187`
11×	`sub0-neg_binary64_2111` `associate--r-_binary64_2063`
9×	`mul-1-neg_binary64_2116` `+-rgt-identity_binary64_2109` `distribute-rgt-out--_binary64_2078`
7×	`mul0-rgt_binary64_2107` `mul0-lft_binary64_2106` `distribute-lft1-in_binary64_2079`
6×	`unpow3_binary64_2190` `cube-unmult_binary64_2161` `swap-sqr_binary64_2091` `distribute-rgt1-in_binary64_2080`
5×	`unpow2_binary64_2189` `sqr-neg_binary64_2138` `difference-of-sqr-1_binary64_2094` `distribute-lft-out--_binary64_2076`
4×	`difference-of-squares_binary64_2093`
3×	`unpow1_binary64_2182` `cube-neg_binary64_2151` `rem-sqrt-square_binary64_2137` `pow-sqr_binary64_2097`
2×	`cube-mult_binary64_2154`
1×	`unpow1/2_binary64_2188` `1-exp_binary64_2168` `--rgt-identity_binary64_2110` `cancel-sign-sub_binary64_2089` `distribute-neg-out_binary64_2086`
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` `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` `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-div_binary64_2153` `rem-3cbrt-rft_binary64_2150` `rem-3cbrt-lft_binary64_2149` `rem-cbrt-cube_binary64_2148` `rem-cube-cbrt_binary64_2147` `sqr-abs_binary64_2139` `rem-square-sqrt_binary64_2136` `times-frac_binary64_2130` `div-sub_binary64_2129` `/-rgt-identity_binary64_2115` `+-lft-identity_binary64_2108` `div0_binary64_2105` `-inverses_binary64_2104` `+-inverses_binary64_2103` `lft-mult-inverse_binary64_2102` `rgt-mult-inverse_binary64_2101` `remove-double-div_binary64_2100` `distribute-neg-frac_binary64_2088` `distribute-frac-neg_binary64_2087` `count-2_binary64_2072` `associate-/l/_binary64_2071` `associate-/r/_binary64_2070` `associate-/l_binary64_2069` `associate-/r_binary64_2068` `associate-l/_binary64_2067` `associate-*r/_binary64_2066` `associate--l-_binary64_2062`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	43
1	55	43
2	150	43
3	389	43
4	1083	43
5	2231	43
6	4328	43
7	4714	43
8	4915	43

prune3.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.2b

Counts

2 → 1

Compiler

Compiled 58 to 38 computations (34.5% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a)))))
0.1b	(.f64 (.f64 a a) (-.f64 1 a))
0.3b	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
1.1b	(.f64 (.f64 b b) (+.f64 3 a))

rewrite179.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

15×	`pow1_binary64_2185` `add-exp-log_binary64_2162` `add-sqr-sqrt_binary64_2146` `*-un-lft-identity_binary64_2124`
14×	`add-cbrt-cube_binary64_2160`
10×	`add-cube-cbrt_binary64_2159` `associate-r_binary64_2064`
6×	`pow-prod-down_binary64_2195` `prod-exp_binary64_2173` `add-log-exp_binary64_2163` `cbrt-unprod_binary64_2157` `distribute-rgt-in_binary64_2074` `distribute-lft-in_binary64_2073` `cancel-sign-sub-inv_binary64_2090`
4×	`associate-*r/_binary64_2066`
3×	`unpow-prod-down_binary64_2203` `pow-unpow_binary64_2201`
2×	`unswap-sqr_binary64_2092` `flip3-+_binary64_2127` `flip-+_binary64_2098` `associate-l_binary64_2065` `*-commutative_binary64_2055` `sub-neg_binary64_2117` `difference-of-squares_binary64_2093` `associate-+r+_binary64_2056`
1×	`distribute-lft-out_binary64_2075` `pow-pow_binary64_2196` `pow-to-exp_binary64_2193` `pow-exp_binary64_2192` `unpow2_binary64_2189` `sqr-pow_binary64_2096` `flip3--_binary64_2128` `flip--_binary64_2099` `distribute-lft-out--_binary64_2076` `sum-log_binary64_2215` `+-commutative_binary64_2054`

Counts

4 → 87

Calls

4 calls:

9.0ms	(.f64 (.f64 a a) (-.f64 1 a))
8.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a)))))
8.0ms	(.f64 (.f64 b b) (+.f64 3 a))
5.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)

Compiler

Compiled 3356 to 1686 computations (49.8% saved)

series764.0ms (7.9%)

Error

0.0b

Counts

4 → 52

Calls

4 calls:

377.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a)))))
192.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
75.0ms	(.f64 (.f64 b b) (+.f64 3 a))
44.0ms	(.f64 (.f64 a a) (-.f64 1 a))

Compiler

Compiled 3588 to 2674 computations (25.5% saved)

simplify120.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

528×	`associate-+l+_binary64_2057`
411×	`unsub-neg_binary64_2118`
331×	`associate-+r+_binary64_2056`
267×	`associate-l_binary64_2065`
224×	`exp-prod_binary64_2176`
219×	`+-commutative_binary64_2054`
217×	`associate-r_binary64_2064`
204×	`cancel-sign-sub-inv_binary64_2090`
147×	`associate--l+_binary64_2061`
139×	`neg-mul-1_binary64_2120`
138×	`neg-sub0_binary64_2119`
136×	`*-commutative_binary64_2055`
115×	`distribute-rgt-out_binary64_2077`
107×	`distribute-rgt-in_binary64_2074`
106×	`exp-sum_binary64_2170`
101×	`distribute-lft-in_binary64_2073`
97×	`unswap-sqr_binary64_2092`
81×	`log-prod_binary64_2210`
69×	`distribute-rgt-neg-in_binary64_2082`
67×	`distribute-lft-out_binary64_2075`
66×	`sqr-pow_binary64_2096`
59×	`cube-prod_binary64_2152`
58×	`distribute-lft-neg-in_binary64_2081`
51×	`associate--r+_binary64_2060`
45×	`distribute-lft-neg-out_binary64_2083`
43×	`distribute-rgt-neg-out_binary64_2084`
42×	`sub-neg_binary64_2117`
39×	`distribute-neg-in_binary64_2085`
27×	`*-lft-identity_binary64_2113` `associate-+r-_binary64_2058`
24×	`associate-+l-_binary64_2059`
22×	`exp-diff_binary64_2172` `*-rgt-identity_binary64_2114`
20×	`swap-sqr_binary64_2091`
18×	`cube-unmult_binary64_2161`
17×	`pow-plus_binary64_2187` `distribute-rgt-out--_binary64_2078`
16×	`log-pow_binary64_2213`
15×	`unpow3_binary64_2190` `rem-sqrt-square_binary64_2137`
13×	`exp-neg_binary64_2171`
12×	`pow-sqr_binary64_2097`
10×	`cube-mult_binary64_2154`
8×	`unpow1/2_binary64_2188`
7×	`unpow2_binary64_2189` `div-sub_binary64_2129`
6×	`unpow1_binary64_2182` `distribute-lft-out--_binary64_2076`
4×	`difference-of-squares_binary64_2093`
3×	`associate-/l/_binary64_2071` `associate-*r/_binary64_2066`
2×	`exp-lft-cube_binary64_2180` `rem-square-sqrt_binary64_2136` `count-2_binary64_2072`
1×	`prod-exp_binary64_2173` `1-exp_binary64_2168` `exp-1-e_binary64_2167` `rem-3cbrt-rft_binary64_2150` `rem-3cbrt-lft_binary64_2149` `mul-1-neg_binary64_2116` `distribute-rgt1-in_binary64_2080` `associate-/r/_binary64_2070` `associate-/l*_binary64_2069`
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` `log-div_binary64_2211` `pow-base-0_binary64_2208` `unpow1/3_binary64_2191` `exp-to-pow_binary64_2186` `pow-base-1_binary64_2184` `unpow0_binary64_2183` `unpow-1_binary64_2181` `exp-lft-sqr_binary64_2179` `exp-cbrt_binary64_2178` `exp-sqrt_binary64_2177` `div-exp_binary64_2175` `rec-exp_binary64_2174` `e-exp-1_binary64_2169` `exp-0_binary64_2166` `rem-log-exp_binary64_2165` `rem-exp-log_binary64_2164` `cube-div_binary64_2153` `cube-neg_binary64_2151` `rem-cbrt-cube_binary64_2148` `rem-cube-cbrt_binary64_2147` `sqr-abs_binary64_2139` `sqr-neg_binary64_2138` `times-frac_binary64_2130` `/-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` `cancel-sign-sub_binary64_2089` `distribute-neg-frac_binary64_2088` `distribute-frac-neg_binary64_2087` `distribute-neg-out_binary64_2086` `distribute-lft1-in_binary64_2079` `associate-/r_binary64_2068` `associate-*l/_binary64_2067` `associate--r-_binary64_2063` `associate--l-_binary64_2062`

Counts

139 → 262

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	214	2831
1	581	2538
2	1861	2448
3	4206	2442
4	5161	2442

prune522.0ms (5.4%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	258	4	262
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	259	4	263

Error

Counts

263 → 4

Compiler

Compiled 10615 to 5336 computations (49.7% saved)

localize22.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (+.f64 (pow.f64 a 4) (.f64 4 (+.f64 (.f64 a a) (.f64 a (.f64 b b))))) (.f64 (.f64 b b) (+.f64 12 (.f64 2 (.f64 a a)))))
0.0b	(*.f64 (pow.f64 a 3) -4)
1.1b	(.f64 a (.f64 b b))
2.0b	(.f64 (.f64 b b) (+.f64 12 (.f64 2 (.f64 a a))))

rewrite242.0ms (2.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

19×	`add-exp-log_binary64_2162` `add-sqr-sqrt_binary64_2146`
16×	`add-cbrt-cube_binary64_2160` `associate-l_binary64_2065`
14×	`pow1_binary64_2185`
10×	`add-cube-cbrt_binary64_2159` `*-un-lft-identity_binary64_2124`
9×	`prod-exp_binary64_2173` `add-log-exp_binary64_2163`
7×	`cbrt-unprod_binary64_2157` `associate-r_binary64_2064`
6×	`pow-prod-down_binary64_2195` `unswap-sqr_binary64_2092` `flip3-+_binary64_2127` `associate-*r/_binary64_2066` `flip-+_binary64_2098`
4×	`unpow-prod-down_binary64_2203` `cube-prod_binary64_2152` `frac-add_binary64_2132`
3×	`*-commutative_binary64_2055` `sum-log_binary64_2215`
2×	`distribute-rgt-in_binary64_2074` `distribute-lft-in_binary64_2073` `sqr-pow_binary64_2096` `associate-+r+_binary64_2056`
1×	`pow-to-exp_binary64_2193` `pow-exp_binary64_2192` `unpow3_binary64_2190` `cube-mult_binary64_2154` `associate-+l+_binary64_2057` `+-commutative_binary64_2054`

Counts

4 → 92

Calls

4 calls:

9.0ms	(+.f64 (+.f64 (pow.f64 a 4) (.f64 4 (+.f64 (.f64 a a) (.f64 a (.f64 b b))))) (.f64 (.f64 b b) (+.f64 12 (.f64 2 (.f64 a a)))))
8.0ms	(.f64 (.f64 b b) (+.f64 12 (.f64 2 (.f64 a a))))
6.0ms	(*.f64 (pow.f64 a 3) -4)
6.0ms	(.f64 a (.f64 b b))

Compiler

Compiled 4865 to 2650 computations (45.5% saved)

series528.0ms (5.4%)

Error

Counts

4 → 33

Calls

4 calls:

237.0ms	(+.f64 (+.f64 (pow.f64 a 4) (.f64 4 (+.f64 (.f64 a a) (.f64 a (.f64 b b))))) (.f64 (.f64 b b) (+.f64 12 (.f64 2 (.f64 a a)))))
137.0ms	(.f64 (.f64 b b) (+.f64 12 (.f64 2 (.f64 a a))))
63.0ms	(.f64 a (.f64 b b))
37.0ms	(*.f64 (pow.f64 a 3) -4)

Compiler

Compiled 3139 to 2376 computations (24.3% saved)

simplify130.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

368×	`exp-prod_binary64_2176`
345×	`associate-l_binary64_2065`
327×	`associate-r_binary64_2064`
278×	`cancel-sign-sub-inv_binary64_2090`
274×	`unswap-sqr_binary64_2092`
199×	`log-prod_binary64_2210`
181×	`distribute-rgt-neg-in_binary64_2082`
174×	`*-commutative_binary64_2055`
172×	`distribute-rgt-in_binary64_2074`
160×	`distribute-lft-in_binary64_2073`
155×	`distribute-lft-neg-in_binary64_2081`
125×	`distribute-rgt-out_binary64_2077`
96×	`associate--l+_binary64_2061`
87×	`cube-prod_binary64_2152`
76×	`sqr-pow_binary64_2096`
63×	`swap-sqr_binary64_2091` `distribute-neg-in_binary64_2085`
59×	`+-commutative_binary64_2054`
56×	`unpow3_binary64_2190`
55×	`sub-neg_binary64_2117`
53×	`distribute-lft-neg-out_binary64_2083`
40×	`associate-+l+_binary64_2057`
39×	`distribute-lft-out_binary64_2075`
34×	`distribute-rgt-neg-out_binary64_2084` `associate-+r+_binary64_2056`
32×	`neg-mul-1_binary64_2120` `neg-sub0_binary64_2119`
31×	`distribute-rgt-out--_binary64_2078`
29×	`exp-sum_binary64_2170`
25×	`*-rgt-identity_binary64_2114`
20×	`*-lft-identity_binary64_2113`
18×	`log-pow_binary64_2213` `pow-plus_binary64_2187`
13×	`cube-mult_binary64_2154`
12×	`pow-sqr_binary64_2097`
11×	`distribute-lft-out--_binary64_2076`
7×	`exp-lft-sqr_binary64_2179` `cube-unmult_binary64_2161` `unsub-neg_binary64_2118` `associate-/l*_binary64_2069` `associate--r+_binary64_2060`
6×	`rem-sqrt-square_binary64_2137`
5×	`prod-exp_binary64_2173`
4×	`unpow1/2_binary64_2188`
3×	`unpow2_binary64_2189` `difference-of-squares_binary64_2093` `count-2_binary64_2072` `associate-+l-_binary64_2059` `associate-+r-_binary64_2058`
2×	`unpow1_binary64_2182`
1×	`unpow-1_binary64_2181` `1-exp_binary64_2168` `exp-1-e_binary64_2167` `rem-cbrt-cube_binary64_2148` `rem-cube-cbrt_binary64_2147` `rem-square-sqrt_binary64_2136`
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` `log-div_binary64_2211` `pow-base-0_binary64_2208` `unpow1/3_binary64_2191` `exp-to-pow_binary64_2186` `pow-base-1_binary64_2184` `unpow0_binary64_2183` `exp-lft-cube_binary64_2180` `exp-cbrt_binary64_2178` `exp-sqrt_binary64_2177` `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-div_binary64_2153` `cube-neg_binary64_2151` `rem-3cbrt-rft_binary64_2150` `rem-3cbrt-lft_binary64_2149` `sqr-abs_binary64_2139` `sqr-neg_binary64_2138` `times-frac_binary64_2130` `div-sub_binary64_2129` `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` `cancel-sign-sub_binary64_2089` `distribute-neg-frac_binary64_2088` `distribute-frac-neg_binary64_2087` `distribute-neg-out_binary64_2086` `distribute-rgt1-in_binary64_2080` `distribute-lft1-in_binary64_2079` `associate-/l/_binary64_2071` `associate-/r/_binary64_2070` `associate-/r_binary64_2068` `associate-l/_binary64_2067` `associate-r/_binary64_2066` `associate--r-_binary64_2063` `associate--l-_binary64_2062`

Counts

125 → 259

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	202	2946
1	590	2685
2	2542	2640
3	4682	2622
4	5122	2622

prune883.0ms (9.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	259	0	259
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	259	4	263

Error

Counts

263 → 4

Compiler

Compiled 16501 to 9183 computations (44.3% saved)

localize24.0ms (0.2%)

Local error

Found 4 expressions with local error:

1.1b	(.f64 (.f64 b b) (+.f64 3 a))
17.7b	(cbrt.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2))
17.7b	(cbrt.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2))
17.7b	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2))

rewrite180.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

24×	`cbrt-prod_binary64_2155`
13×	`*-un-lft-identity_binary64_2124`
12×	`add-sqr-sqrt_binary64_2146`
11×	`add-cube-cbrt_binary64_2159`
9×	`pow1_binary64_2185` `add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160` `unpow-prod-down_binary64_2203`
4×	`add-log-exp_binary64_2163` `associate-r_binary64_2064`
3×	`pow1/3_binary64_2206` `unpow2_binary64_2189` `sqr-pow_binary64_2096` `pow-prod-down_binary64_2195` `prod-exp_binary64_2173` `cbrt-unprod_binary64_2157`
2×	`associate-*r/_binary64_2066`
1×	`unswap-sqr_binary64_2092` `distribute-rgt-in_binary64_2074` `distribute-lft-in_binary64_2073` `flip3-+_binary64_2127` `flip-+_binary64_2098` `associate-l_binary64_2065` `distribute-lft-out_binary64_2075` `*-commutative_binary64_2055`

Counts

4 → 72

Calls

4 calls:

8.0ms	(.f64 (.f64 b b) (+.f64 3 a))
5.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2))
5.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2))
5.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2))

Compiler

Compiled 4418 to 1991 computations (54.9% saved)

series1.0s (10.4%)

Error

Counts

4 → 63

Calls

4 calls:

261.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2))
258.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2))
257.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2))
84.0ms	(.f64 (.f64 b b) (+.f64 3 a))

Compiler

Compiled 8787 to 5606 computations (36.2% saved)

simplify163.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

562×	`unswap-sqr_binary64_2092`
301×	`distribute-rgt-in_binary64_2074`
298×	`distribute-lft-in_binary64_2073`
258×	`*-commutative_binary64_2055`
212×	`associate-+l+_binary64_2057`
199×	`associate-+r+_binary64_2056`
197×	`sqr-pow_binary64_2096`
181×	`cancel-sign-sub-inv_binary64_2090`
156×	`distribute-rgt-neg-in_binary64_2082`
148×	`distribute-lft-neg-in_binary64_2081`
136×	`neg-mul-1_binary64_2120`
121×	`associate-l_binary64_2065`
107×	`rem-sqrt-square_binary64_2137` `associate-r_binary64_2064`
96×	`+-commutative_binary64_2054`
94×	`distribute-rgt-out_binary64_2077`
71×	`sub-neg_binary64_2117`
69×	`exp-prod_binary64_2176`
65×	`associate-/r*_binary64_2068`
53×	`neg-sub0_binary64_2119`
46×	`pow-sqr_binary64_2097`
39×	`cube-prod_binary64_2152`
31×	`associate-/l/_binary64_2071`
29×	`*-rgt-identity_binary64_2114`
28×	`*-lft-identity_binary64_2113` `swap-sqr_binary64_2091`
27×	`unpow3_binary64_2190`
25×	`pow-plus_binary64_2187`
23×	`log-prod_binary64_2210`
19×	`associate-+l-_binary64_2059`
18×	`cube-unmult_binary64_2161` `distribute-neg-in_binary64_2085`
15×	`cube-mult_binary64_2154`
14×	`associate--l+_binary64_2061`
13×	`unpow1/2_binary64_2188`
12×	`unsub-neg_binary64_2118`
11×	`unpow2_binary64_2189`
10×	`distribute-lft-neg-out_binary64_2083`
8×	`distribute-rgt-neg-out_binary64_2084` `associate--r+_binary64_2060`
7×	`unpow1_binary64_2182` `sub0-neg_binary64_2111` `+-rgt-identity_binary64_2109` `associate-/l*_binary64_2069` `associate-+r-_binary64_2058`
6×	`unpow1/3_binary64_2191` `exp-sum_binary64_2170` `distribute-rgt-out--_binary64_2078`
4×	`log-pow_binary64_2213` `prod-exp_binary64_2173`
3×	`distribute-rgt1-in_binary64_2080` `count-2_binary64_2072`
2×	`exp-lft-cube_binary64_2180` `rem-3cbrt-lft_binary64_2149` `distribute-lft1-in_binary64_2079` `distribute-lft-out_binary64_2075`
1×	`1-exp_binary64_2168` `exp-1-e_binary64_2167` `rem-3cbrt-rft_binary64_2150` `rem-cbrt-cube_binary64_2148` `rem-square-sqrt_binary64_2136` `associate-*r/_binary64_2066`
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` `log-div_binary64_2211` `pow-base-0_binary64_2208` `exp-to-pow_binary64_2186` `pow-base-1_binary64_2184` `unpow0_binary64_2183` `unpow-1_binary64_2181` `exp-lft-sqr_binary64_2179` `exp-cbrt_binary64_2178` `exp-sqrt_binary64_2177` `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-div_binary64_2153` `cube-neg_binary64_2151` `rem-cube-cbrt_binary64_2147` `sqr-abs_binary64_2139` `sqr-neg_binary64_2138` `times-frac_binary64_2130` `div-sub_binary64_2129` `mul-1-neg_binary64_2116` `/-rgt-identity_binary64_2115` `remove-double-neg_binary64_2112` `--rgt-identity_binary64_2110` `+-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-frac_binary64_2088` `distribute-frac-neg_binary64_2087` `distribute-neg-out_binary64_2086` `distribute-lft-out--_binary64_2076` `associate-/r/_binary64_2070` `associate-l/_binary64_2067` `associate--r-_binary64_2063` `associate--l-_binary64_2062`

Counts

135 → 220

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	147	3138
1	298	2967
2	862	2967
3	2007	2967
4	4113	2967
5	4874	2949
6	4947	2949

prune575.0ms (5.9%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	220	0	220
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	220	4	224

Error

Counts

224 → 4

Compiler

Compiled 13810 to 6398 computations (53.7% saved)

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(pow.f64 (.f64 (+.f64 a 3) (.f64 b b)) 3)
0.3b	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
1.1b	(.f64 (+.f64 a 3) (.f64 b b))
22.5b	(cbrt.f64 (pow.f64 (.f64 (+.f64 a 3) (.f64 b b)) 3))

rewrite172.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

16×	`pow1_binary64_2185` `add-exp-log_binary64_2162`
15×	`add-cbrt-cube_binary64_2160`
11×	`*-un-lft-identity_binary64_2124`
10×	`add-sqr-sqrt_binary64_2146`
9×	`add-cube-cbrt_binary64_2159`
8×	`cbrt-prod_binary64_2155`
6×	`associate-*l/_binary64_2067` `pow-prod-down_binary64_2195` `prod-exp_binary64_2173` `cbrt-unprod_binary64_2157` `pow-unpow_binary64_2201`
5×	`unpow-prod-down_binary64_2203`
4×	`add-log-exp_binary64_2163` `cube-div_binary64_2153` `associate-l_binary64_2065` `pow-pow_binary64_2196` `pow-exp_binary64_2192`
3×	`flip3-+_binary64_2127` `flip-+_binary64_2098` `sqr-pow_binary64_2096` `rem-cube-cbrt_binary64_2147`
2×	`cbrt-div_binary64_2156` `unpow3_binary64_2190` `cube-mult_binary64_2154` `cube-prod_binary64_2152` `pow-to-exp_binary64_2193`
1×	`pow1/3_binary64_2206` `rem-cbrt-cube_binary64_2148` `unswap-sqr_binary64_2092` `distribute-lft-out_binary64_2075` `associate-r_binary64_2064` `*-commutative_binary64_2055` `unpow2_binary64_2189`

Counts

4 → 86

Calls

4 calls:

9.0ms	(pow.f64 (.f64 (+.f64 a 3) (.f64 b b)) 3)
8.0ms	(.f64 (+.f64 a 3) (.f64 b b))
5.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
3.0ms	(cbrt.f64 (pow.f64 (.f64 (+.f64 a 3) (.f64 b b)) 3))

Compiler

Compiled 3440 to 1899 computations (44.8% saved)

series535.0ms (5.5%)

Error

Counts

4 → 48

Calls

4 calls:

200.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
96.0ms	(pow.f64 (.f64 (+.f64 a 3) (.f64 b b)) 3)
87.0ms	(.f64 (+.f64 a 3) (.f64 b b))
86.0ms	(cbrt.f64 (pow.f64 (.f64 (+.f64 a 3) (.f64 b b)) 3))

Compiler

Compiled 4044 to 2874 computations (28.9% saved)

simplify124.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

446×	`distribute-rgt-in_binary64_2074`
433×	`distribute-lft-in_binary64_2073`
401×	`*-commutative_binary64_2055`
382×	`log-prod_binary64_2210`
334×	`exp-prod_binary64_2176`
316×	`unswap-sqr_binary64_2092`
247×	`cube-prod_binary64_2152`
233×	`exp-sum_binary64_2170`
142×	`associate-r_binary64_2064`
131×	`associate-l_binary64_2065`
99×	`distribute-rgt-out_binary64_2077`
94×	`swap-sqr_binary64_2091`
93×	`sqr-pow_binary64_2096`
57×	`log-pow_binary64_2213`
51×	`unpow3_binary64_2190`
44×	`+-commutative_binary64_2054`
42×	`cube-mult_binary64_2154`
41×	`associate-+l+_binary64_2057`
36×	`distribute-lft-out_binary64_2075`
30×	`associate-+r+_binary64_2056`
26×	`pow-plus_binary64_2187`
25×	`rem-sqrt-square_binary64_2137`
18×	`cube-unmult_binary64_2161` `pow-sqr_binary64_2097`
8×	`rem-cbrt-cube_binary64_2148` `sub-neg_binary64_2117`
7×	`unpow1/2_binary64_2188` `unpow1_binary64_2182`
6×	`unpow2_binary64_2189` `cancel-sign-sub-inv_binary64_2090` `associate-/l/_binary64_2071` `associate-*r/_binary64_2066`
5×	`exp-lft-cube_binary64_2180`
3×	`distribute-rgt-neg-in_binary64_2082` `count-2_binary64_2072` `associate-/l*_binary64_2069` `associate-+l-_binary64_2059`
2×	`neg-mul-1_binary64_2120` `neg-sub0_binary64_2119` `distribute-lft-neg-in_binary64_2081` `distribute-lft1-in_binary64_2079` `associate-/r/_binary64_2070` `associate-+r-_binary64_2058`
1×	`1-exp_binary64_2168` `rem-3cbrt-rft_binary64_2150` `rem-3cbrt-lft_binary64_2149` `sqr-abs_binary64_2139` `rem-square-sqrt_binary64_2136` `distribute-lft-neg-out_binary64_2083` `distribute-rgt1-in_binary64_2080` `distribute-rgt-out--_binary64_2078` `associate--l+_binary64_2061`
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` `log-div_binary64_2211` `pow-base-0_binary64_2208` `unpow1/3_binary64_2191` `exp-to-pow_binary64_2186` `pow-base-1_binary64_2184` `unpow0_binary64_2183` `unpow-1_binary64_2181` `exp-lft-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` `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-cube-cbrt_binary64_2147` `sqr-neg_binary64_2138` `times-frac_binary64_2130` `div-sub_binary64_2129` `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` `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-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-out--_binary64_2076` `associate-/r_binary64_2068` `associate-*l/_binary64_2067` `associate--r-_binary64_2063` `associate--l-_binary64_2062` `associate--r+_binary64_2060`

Counts

134 → 299

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	150	2013
1	325	1889
2	1128	1841
3	3700	1820
4	4956	1820
5	5012	1820

prune558.0ms (5.7%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	299	0	299
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	299	4	303

Error

Counts

303 → 4

Compiler

Compiled 11873 to 6640 computations (44.1% saved)

regimes577.0ms (5.9%)

Accuracy

Total 0.0b remaining (68.1%)

Threshold costs 0.0b (68.1%)

Compiler

Compiled 9684 to 6656 computations (31.3% saved)

bsearch0.0ms (0%)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Rules

9×	`+-commutative_binary64_2054`
7×	`*-commutative_binary64_2055`
5×	`neg-mul-1_binary64_2120` `neg-sub0_binary64_2119`
4×	`sub-neg_binary64_2117`
3×	`unsub-neg_binary64_2118` `*-rgt-identity_binary64_2114`
2×	`distribute-rgt-neg-out_binary64_2084`
1×	`1-exp_binary64_2168` `*-lft-identity_binary64_2113` `distribute-lft-neg-out_binary64_2083` `distribute-rgt-neg-in_binary64_2082` `distribute-lft-neg-in_binary64_2081`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `if-if-and-not_binary64_2384` `if-if-and_binary64_2383` `if-if-or-not_binary64_2382` `if-if-or_binary64_2381` `if-not_binary64_2380` `if-same_binary64_2379` `if-false_binary64_2378` `if-true_binary64_2377` `tan-0_binary64_2253` `cos-0_binary64_2252` `sin-0_binary64_2251` `unpow1_binary64_2182` `e-exp-1_binary64_2169` `exp-1-e_binary64_2167` `exp-0_binary64_2166` `sqr-abs_binary64_2139` `sqr-neg_binary64_2138` `mul-1-neg_binary64_2116` `/-rgt-identity_binary64_2115` `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`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	55
1	39	55
2	46	55
3	50	55
4	58	55
5	57	55
6	55	55

end0.0ms (0%)

sample2.1s (21.2%)

Algorithm

1×

intervals

Results

479.0ms	8000×	body	128	valid
0.0ms	3×	body	128	invalid

Compiler

Compiled 1745 to 1208 computations (30.8% saved)

Details

analyze117.0ms (1.2%)

sample25.0ms (0.3%)

simplify174.0ms (1.8%)

prune3.0ms (0%)

localize15.0ms (0.2%)

rewrite179.0ms (1.8%)

series764.0ms (7.9%)

simplify120.0ms (1.2%)

prune522.0ms (5.4%)

localize22.0ms (0.2%)

rewrite242.0ms (2.5%)

series528.0ms (5.4%)

simplify130.0ms (1.3%)

prune883.0ms (9.1%)

localize24.0ms (0.2%)

rewrite180.0ms (1.8%)

series1.0s (10.4%)

simplify163.0ms (1.7%)

prune575.0ms (5.9%)

localize21.0ms (0.2%)

rewrite172.0ms (1.8%)

series535.0ms (5.5%)

simplify124.0ms (1.3%)

prune558.0ms (5.7%)

regimes577.0ms (5.9%)

bsearch0.0ms (0%)

simplify5.0ms (0%)

end0.0ms (0%)

sample2.1s (21.2%)

Profiling