Details

analyze2.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	0%	100%	0
0%	0%	100%	1

Compiler

Compiled 16 to 11 computations (31.3% saved)

sample22.0ms (1.1%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	128	valid
5.0ms	256×	pre	128	true

Compiler

Compiled 23 to 17 computations (26.1% saved)

simplify99.0ms (5%)

Algorithm

1×	egg-herbie

Rules

24×	`associate-+l+_binary64_2057`
18×	`associate-+r+_binary64_2056`
10×	`distribute-rgt-in_binary64_2074`
8×	`*-commutative_binary64_2055`
6×	`distribute-rgt-out_binary64_2077` `distribute-lft-in_binary64_2073`
4×	`associate-r_binary64_2064`
3×	`count-2_binary64_2072` `+-commutative_binary64_2054`
2×	`associate-l_binary64_2065`
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` `1-exp_binary64_2168` `exp-1-e_binary64_2167` `exp-0_binary64_2166` `rem-log-exp_binary64_2165` `rem-exp-log_binary64_2164` `cube-unmult_binary64_2161` `cube-mult_binary64_2154` `cube-div_binary64_2153` `cube-prod_binary64_2152` `cube-neg_binary64_2151` `rem-3cbrt-rft_binary64_2150` `rem-3cbrt-lft_binary64_2149` `rem-cbrt-cube_binary64_2148` `rem-cube-cbrt_binary64_2147` `sqr-abs_binary64_2139` `sqr-neg_binary64_2138` `rem-sqrt-square_binary64_2137` `rem-square-sqrt_binary64_2136` `times-frac_binary64_2130` `div-sub_binary64_2129` `neg-mul-1_binary64_2120` `neg-sub0_binary64_2119` `unsub-neg_binary64_2118` `sub-neg_binary64_2117` `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-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` `distribute-rgt1-in_binary64_2080` `distribute-lft1-in_binary64_2079` `distribute-rgt-out--_binary64_2078` `distribute-lft-out--_binary64_2076` `distribute-lft-out_binary64_2075` `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--r-_binary64_2063` `associate--l-_binary64_2062` `associate--l+_binary64_2061` `associate--r+_binary64_2060` `associate-+l-_binary64_2059` `associate-+r-_binary64_2058`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	10
1	12	10
2	24	10
3	36	10
4	53	10
5	63	10
6	68	10
7	70	10

prune1.0ms (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

0.0b

Counts

1 → 1

Compiler

Compiled 7 to 4 computations (42.9% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b	(*.f64 (+.f64 a b) (+.f64 a b))

rewrite41.0ms (2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

19×	`*-un-lft-identity_binary64_2124`
8×	`pow1_binary64_2185`
7×	`add-sqr-sqrt_binary64_2146`
6×	`flip3-+_binary64_2127` `flip-+_binary64_2098` `swap-sqr_binary64_2091` `distribute-lft-out_binary64_2075`
5×	`add-cube-cbrt_binary64_2159`
4×	`frac-times_binary64_2134` `associate-l_binary64_2065` `associate-r_binary64_2064`
3×	`add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`
2×	`associate-l/_binary64_2067` `associate-r/_binary64_2066`
1×	`pow2_binary64_2205` `pow-prod-down_binary64_2195` `pow-prod-up_binary64_2194` `pow-plus_binary64_2187` `prod-exp_binary64_2173` `add-log-exp_binary64_2163` `cbrt-unprod_binary64_2157` `pow-sqr_binary64_2097` `unswap-sqr_binary64_2092` `distribute-rgt-in_binary64_2074` `distribute-lft-in_binary64_2073` `*-commutative_binary64_2055`

Counts

1 → 40

Calls

1 calls:

9.0ms

(*.f64 (+.f64 a b) (+.f64 a b))

Compiler

Compiled 610 to 146 computations (76.1% saved)

series99.0ms (4.9%)

Error

Counts

1 → 18

Calls

1 calls:

87.0ms

(*.f64 (+.f64 a b) (+.f64 a b))

Compiler

Compiled 378 to 297 computations (21.4% saved)

simplify152.0ms (7.6%)

Algorithm

1×	egg-herbie

Rules

757×	`associate-+l+_binary64_2057`
730×	`associate-+r+_binary64_2056`
433×	`distribute-rgt-in_binary64_2074`
422×	`distribute-lft-in_binary64_2073`
282×	`unswap-sqr_binary64_2092`
181×	`*-commutative_binary64_2055`
84×	`associate-l_binary64_2065`
81×	`sqr-pow_binary64_2096` `associate-r_binary64_2064`
69×	`distribute-lft-neg-out_binary64_2083`
67×	`distribute-rgt-neg-out_binary64_2084`
59×	`exp-prod_binary64_2176`
58×	`unsub-neg_binary64_2118`
57×	`swap-sqr_binary64_2091`
44×	`exp-sum_binary64_2170` `*-rgt-identity_binary64_2114`
43×	`distribute-rgt-out_binary64_2077`
41×	`*-lft-identity_binary64_2113`
38×	`pow-sqr_binary64_2097`
32×	`distribute-rgt-neg-in_binary64_2082`
30×	`distribute-lft-neg-in_binary64_2081`
28×	`neg-mul-1_binary64_2120`
27×	`log-prod_binary64_2210` `neg-sub0_binary64_2119`
26×	`sub-neg_binary64_2117`
24×	`pow-plus_binary64_2187`
22×	`+-commutative_binary64_2054`
20×	`cancel-sign-sub-inv_binary64_2090`
18×	`cube-prod_binary64_2152`
17×	`associate-/l*_binary64_2069`
16×	`associate-+r-_binary64_2058`
14×	`associate-+l-_binary64_2059`
10×	`associate-/l/_binary64_2071`
9×	`distribute-lft-out_binary64_2075` `associate-/r*_binary64_2068`
8×	`cube-unmult_binary64_2161` `difference-of-squares_binary64_2093` `distribute-neg-out_binary64_2086` `distribute-neg-in_binary64_2085` `associate-*r/_binary64_2066`
6×	`count-2_binary64_2072`
5×	`unpow3_binary64_2190` `+-rgt-identity_binary64_2109` `associate-/r/_binary64_2070`
4×	`log-pow_binary64_2213` `distribute-rgt-out--_binary64_2078` `associate--r+_binary64_2060`
3×	`cube-mult_binary64_2154` `sqr-neg_binary64_2138` `rem-sqrt-square_binary64_2137` `sub0-neg_binary64_2111`
2×	`unpow2_binary64_2189` `unpow1_binary64_2182`
1×	`1-exp_binary64_2168` `exp-1-e_binary64_2167` `rem-3cbrt-rft_binary64_2150` `rem-3cbrt-lft_binary64_2149` `rem-square-sqrt_binary64_2136` `/-rgt-identity_binary64_2115` `-inverses_binary64_2104` `rgt-mult-inverse_binary64_2101` `distribute-rgt1-in_binary64_2080` `associate-l/_binary64_2067` `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` `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` `prod-exp_binary64_2173` `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-cbrt-cube_binary64_2148` `rem-cube-cbrt_binary64_2147` `sqr-abs_binary64_2139` `times-frac_binary64_2130` `div-sub_binary64_2129` `mul-1-neg_binary64_2116` `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_2103` `lft-mult-inverse_binary64_2102` `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-lft1-in_binary64_2079` `distribute-lft-out--_binary64_2076` `associate--r-_binary64_2063` `associate--l-_binary64_2062`

Counts

58 → 160

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	64	902
1	192	770
2	718	755
3	2105	672

prune98.0ms (4.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	159	1	160
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	159	2	161

Error

Counts

161 → 2

Compiler

Compiled 2226 to 670 computations (69.9% saved)

localize7.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(.f64 b (+.f64 b (.f64 2 a)))
0.0b	(+.f64 (.f64 b (+.f64 b (.f64 2 a))) (*.f64 a a))

rewrite43.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

6×	`add-sqr-sqrt_binary64_2146`
4×	`add-log-exp_binary64_2163` `pow1_binary64_2185` `add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160` `add-cube-cbrt_binary64_2159` `*-un-lft-identity_binary64_2124`
3×	`associate-l_binary64_2065` `associate-r_binary64_2064`
2×	`flip3-+_binary64_2127` `flip-+_binary64_2098` `distribute-rgt-in_binary64_2074` `associate-+l+_binary64_2057` `distribute-lft-in_binary64_2073` `associate-*r/_binary64_2066`
1×	`sum-log_binary64_2215` `+-commutative_binary64_2054` `pow-prod-down_binary64_2195` `prod-exp_binary64_2173` `cbrt-unprod_binary64_2157` `unswap-sqr_binary64_2092` `*-commutative_binary64_2055`

Counts

2 → 35

Calls

2 calls:

6.0ms	(+.f64 (.f64 b (+.f64 b (.f64 2 a))) (*.f64 a a))
6.0ms	(.f64 b (+.f64 b (.f64 2 a)))

Compiler

Compiled 694 to 368 computations (47% saved)

series248.0ms (12.4%)

Error

Counts

2 → 30

Calls

2 calls:

140.0ms	(+.f64 (.f64 b (+.f64 b (.f64 2 a))) (*.f64 a a))
93.0ms	(.f64 b (+.f64 b (.f64 2 a)))

Compiler

Compiled 708 to 511 computations (27.8% saved)

simplify181.0ms (9%)

Algorithm

1×	egg-herbie

Rules

466×	`sub-neg_binary64_2117`
424×	`distribute-rgt-in_binary64_2074`
402×	`distribute-lft-in_binary64_2073`
288×	`difference-of-squares_binary64_2093`
287×	`+-commutative_binary64_2054`
240×	`cancel-sign-sub-inv_binary64_2090`
215×	`*-commutative_binary64_2055`
207×	`unswap-sqr_binary64_2092`
197×	`sqr-pow_binary64_2096`
155×	`associate--r+_binary64_2060`
135×	`distribute-rgt-neg-in_binary64_2082`
124×	`associate-+l+_binary64_2057`
123×	`associate-l_binary64_2065` `associate--l+_binary64_2061`
120×	`distribute-lft-neg-in_binary64_2081`
111×	`pow-sqr_binary64_2097`
107×	`associate-+r+_binary64_2056`
105×	`unsub-neg_binary64_2118` `associate-r_binary64_2064`
101×	`distribute-rgt-out_binary64_2077`
100×	`neg-mul-1_binary64_2120`
95×	`neg-sub0_binary64_2119`
86×	`distribute-neg-in_binary64_2085`
67×	`associate-+l-_binary64_2059`
58×	`associate-+r-_binary64_2058`
55×	`exp-prod_binary64_2176`
43×	`pow-plus_binary64_2187`
33×	`*-rgt-identity_binary64_2114`
32×	`*-lft-identity_binary64_2113` `sub0-neg_binary64_2111`
29×	`distribute-lft-neg-out_binary64_2083`
28×	`distribute-rgt-out--_binary64_2078`
25×	`exp-sum_binary64_2170`
23×	`cube-prod_binary64_2152`
21×	`+-rgt-identity_binary64_2109`
20×	`swap-sqr_binary64_2091`
13×	`log-prod_binary64_2210` `distribute-lft-out_binary64_2075` `associate-/l*_binary64_2069`
12×	`unpow3_binary64_2190` `associate--r-_binary64_2063`
11×	`distribute-rgt-neg-out_binary64_2084`
10×	`prod-exp_binary64_2173`
7×	`cube-mult_binary64_2154` `times-frac_binary64_2130` `associate-/l/_binary64_2071`
6×	`cube-unmult_binary64_2161`
4×	`log-pow_binary64_2213` `associate-*r/_binary64_2066`
3×	`pow-base-1_binary64_2184` `exp-lft-sqr_binary64_2179` `/-rgt-identity_binary64_2115` `distribute-lft-out--_binary64_2076` `count-2_binary64_2072`
2×	`unpow2_binary64_2189` `unpow1_binary64_2182`
1×	`1-exp_binary64_2168` `exp-1-e_binary64_2167` `rem-sqrt-square_binary64_2137` `remove-double-neg_binary64_2112` `*-inverses_binary64_2104` `rgt-mult-inverse_binary64_2101` `distribute-rgt1-in_binary64_2080`
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` `unpow1/2_binary64_2188` `exp-to-pow_binary64_2186` `unpow0_binary64_2183` `unpow-1_binary64_2181` `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` `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_2110` `+-lft-identity_binary64_2108` `mul0-rgt_binary64_2107` `mul0-lft_binary64_2106` `div0_binary64_2105` `+-inverses_binary64_2103` `lft-mult-inverse_binary64_2102` `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_2070` `associate-/r_binary64_2068` `associate-l/_binary64_2067` `associate--l-_binary64_2062`

Counts

65 → 110

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	73	931
1	226	862
2	845	853
3	2390	853
4	3838	853

prune92.0ms (4.6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	110	0	110
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	110	2	112

Error

Counts

112 → 2

Compiler

Compiled 2278 to 1176 computations (48.4% saved)

regimes115.0ms (5.7%)

Accuracy

Total 0.0b remaining (98.2%)

Threshold costs 0.0b (98.2%)

Compiler

Compiled 909 to 533 computations (41.4% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1× +-commutative_binary64_2054

0× not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same if-if-and-not_binary64_2384 if-if-and_binary64_2383 if-if-or-not_binary64_2382 if-if-or_binary64_2381 if-not_binary64_2380 if-same_binary64_2379 if-false_binary64_2378 if-true_binary64_2377 tan-0_binary64_2253 cos-0_binary64_2252 sin-0_binary64_2251 unpow1_binary64_2182 e-exp-1_binary64_2169 1-exp_binary64_2168 exp-1-e_binary64_2167 exp-0_binary64_2166 sqr-abs_binary64_2139 sqr-neg_binary64_2138 neg-mul-1_binary64_2120 neg-sub0_binary64_2119 unsub-neg_binary64_2118 sub-neg_binary64_2117 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 *-commutative_binary64_2055

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	7	7

Proof

(pow f64 (+ f64 h0 h1) 2)

end0.0ms (0%)

sample797.0ms (39.8%)

Algorithm

1×

intervals

Results

177.0ms	8000×	pre	128	true
129.0ms	8000×	body	128	valid

Compiler

Compiled 246 to 149 computations (39.4% saved)

Details

analyze2.0ms (0.1%)

sample22.0ms (1.1%)

simplify99.0ms (5%)

prune1.0ms (0.1%)

localize3.0ms (0.2%)

rewrite41.0ms (2%)

series99.0ms (4.9%)

simplify152.0ms (7.6%)

prune98.0ms (4.9%)

localize7.0ms (0.3%)

rewrite43.0ms (2.1%)

series248.0ms (12.4%)

simplify181.0ms (9%)

prune92.0ms (4.6%)

regimes115.0ms (5.7%)

bsearch0.0ms (0%)

simplify3.0ms (0.2%)

end0.0ms (0%)

sample797.0ms (39.8%)

Profiling