Details

analyze994.0ms (15.1%)

Algorithm

1×	search
2×	egg-herbie

Rules

694×	`div-sub_binary64_2129`
602×	`neg-mul-1_binary64_2120`
550×	`sub-neg_binary64_2117`
311×	`associate-/r*_binary64_2068`
286×	`distribute-neg-frac_binary64_2088`
242×	`associate-/l/_binary64_2071`
222×	`associate-/r/_binary64_2070`
219×	`distribute-frac-neg_binary64_2087`
217×	`times-frac_binary64_2130`
208×	`distribute-rgt-neg-out_binary64_2084`
199×	`associate-*l/_binary64_2067`
188×	`associate-/l*_binary64_2069`
184×	`distribute-lft-in_binary64_2073` `*-commutative_binary64_2055`
171×	`distribute-rgt-in_binary64_2074`
163×	`cancel-sign-sub-inv_binary64_2090`
127×	`cancel-sign-sub_binary64_2089`
120×	`associate-*r/_binary64_2066`
118×	`associate-l_binary64_2065`
114×	`unsub-neg_binary64_2118`
113×	`associate-r_binary64_2064`
104×	`neg-sub0_binary64_2119`
92×	`associate-+l+_binary64_2057`
82×	`distribute-neg-in_binary64_2085` `+-commutative_binary64_2054`
81×	`associate-+r+_binary64_2056`
76×	`distribute-rgt-neg-in_binary64_2082` `associate-+l-_binary64_2059`
69×	`distribute-lft-neg-in_binary64_2081`
67×	`/-rgt-identity_binary64_2115`
53×	`associate--r+_binary64_2060`
52×	`*-lft-identity_binary64_2113`
51×	`associate-+r-_binary64_2058`
49×	`sub0-neg_binary64_2111`
40×	`*-rgt-identity_binary64_2114`
34×	`distribute-lft-neg-out_binary64_2083`
30×	`distribute-neg-out_binary64_2086`
26×	`div0_binary64_2105` `associate--l+_binary64_2061`
24×	`distribute-rgt-out_binary64_2077`
18×	`--rgt-identity_binary64_2110` `associate--r-_binary64_2063` `associate--l-_binary64_2062`
17×	`distribute-rgt-out--_binary64_2078`
13×	`remove-double-neg_binary64_2112` `+-rgt-identity_binary64_2109` `mul0-rgt_binary64_2107`
7×	`cube-prod_binary64_2152` `mul0-lft_binary64_2106` `swap-sqr_binary64_2091`
6×	`distribute-rgt1-in_binary64_2080`
5×	`cube-div_binary64_2153` `+-lft-identity_binary64_2108`
4×	`mul-1-neg_binary64_2116` `*-inverses_binary64_2104`
3×	`sqr-neg_binary64_2138` `distribute-lft1-in_binary64_2079`
2×	`cube-neg_binary64_2151` `distribute-lft-out--_binary64_2076`
1×	`unpow3_binary64_2190` `1-exp_binary64_2168` `cube-unmult_binary64_2161` `cube-mult_binary64_2154` `+-inverses_binary64_2103` `lft-mult-inverse_binary64_2102` `rgt-mult-inverse_binary64_2101` `sqr-pow_binary64_2096` `difference-of-sqr-1_binary64_2094`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_2387` `erf-erfc_binary64_2386` `erf-odd_binary64_2385` `if-if-and-not_binary64_2384` `if-if-and_binary64_2383` `if-if-or-not_binary64_2382` `if-if-or_binary64_2381` `if-not_binary64_2380` `if-same_binary64_2379` `if-false_binary64_2378` `if-true_binary64_2377` `not-gte_binary64_2376` `not-lte_binary64_2375` `not-gt_binary64_2374` `not-lt_binary64_2373` `gte-same_binary64_2372` `lte-same_binary64_2371` `gt-same_binary64_2370` `lt-same_binary64_2369` `sinh---cosh_binary64_2316` `sinh-+-cosh_binary64_2315` `sinh-cosh_binary64_2314` `tanh-def-c_binary64_2313` `tanh-def-b_binary64_2312` `tanh-def-a_binary64_2311` `cosh-def_binary64_2310` `sinh-def_binary64_2309` `tan-neg_binary64_2256` `cos-neg_binary64_2255` `sin-neg_binary64_2254` `tan-0_binary64_2253` `cos-0_binary64_2252` `sin-0_binary64_2251` `hang-m-tan_binary64_2250` `hang-p-tan_binary64_2249` `hang-m0-tan_binary64_2248` `hang-p0-tan_binary64_2247` `hang-0m-tan_binary64_2246` `hang-0p-tan_binary64_2245` `tan-+PI/2_binary64_2244` `tan-+PI_binary64_2243` `tan-PI_binary64_2242` `tan-PI/3_binary64_2241` `tan-PI/4_binary64_2240` `tan-PI/6_binary64_2239` `cos-+PI/2_binary64_2238` `cos-+PI_binary64_2237` `cos-PI_binary64_2236` `cos-PI/2_binary64_2235` `cos-PI/3_binary64_2234` `cos-PI/4_binary64_2233` `cos-PI/6_binary64_2232` `sin-+PI/2_binary64_2231` `sin-+PI_binary64_2230` `sin-PI_binary64_2229` `sin-PI/2_binary64_2228` `sin-PI/3_binary64_2227` `sin-PI/4_binary64_2226` `sin-PI/6_binary64_2225` `sub-1-sin_binary64_2224` `sub-1-cos_binary64_2223` `-1-add-sin_binary64_2222` `-1-add-cos_binary64_2221` `1-sub-sin_binary64_2220` `1-sub-cos_binary64_2219` `cos-sin-sum_binary64_2218` `log-E_binary64_2214` `log-pow_binary64_2213` `log-rec_binary64_2212` `log-div_binary64_2211` `log-prod_binary64_2210` `pow-base-0_binary64_2208` `unpow1/3_binary64_2191` `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` `rem-3cbrt-rft_binary64_2150` `rem-3cbrt-lft_binary64_2149` `rem-cbrt-cube_binary64_2148` `rem-cube-cbrt_binary64_2147` `sqr-abs_binary64_2139` `rem-sqrt-square_binary64_2137` `rem-square-sqrt_binary64_2136` `remove-double-div_binary64_2100` `pow-sqr_binary64_2097` `difference-of-sqr--1_binary64_2095` `difference-of-squares_binary64_2093` `unswap-sqr_binary64_2092` `distribute-lft-out_binary64_2075` `count-2_binary64_2072`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	21
1	30	21
2	71	21
3	195	21
4	504	21
5	1254	21
6	2437	21
7	3311	21
8	4638	21
9	4955	21
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
0%	100%	0%	3
0%	100%	0%	4
0%	100%	0%	5
0%	100%	0%	6
0%	100%	0%	7
0%	100%	0%	8
0%	100%	0%	9
0%	100%	0%	10
0%	100%	0%	11
0%	100%	0%	12
3%	46.9%	50%	13
3.1%	46.8%	50%	14

Compiler

Compiled 15 to 11 computations (26.7% saved)

sample71.0ms (1.1%)

Algorithm

1×

intervals

Results

41.0ms	131×	body	2048	valid
12.0ms	61×	body	1024	valid
4.0ms	29×	body	512	valid
2.0ms	20×	body	256	valid
1.0ms	15×	body	128	valid
0.0ms	1×	body	128	nan

Compiler

Compiled 29 to 22 computations (24.1% saved)

simplify75.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

694×	`div-sub_binary64_2129`
602×	`neg-mul-1_binary64_2120`
550×	`sub-neg_binary64_2117`
311×	`associate-/r*_binary64_2068`
286×	`distribute-neg-frac_binary64_2088`
242×	`associate-/l/_binary64_2071`
222×	`associate-/r/_binary64_2070`
219×	`distribute-frac-neg_binary64_2087`
217×	`times-frac_binary64_2130`
208×	`distribute-rgt-neg-out_binary64_2084`
199×	`associate-*l/_binary64_2067`
188×	`associate-/l*_binary64_2069`
184×	`distribute-lft-in_binary64_2073` `*-commutative_binary64_2055`
171×	`distribute-rgt-in_binary64_2074`
163×	`cancel-sign-sub-inv_binary64_2090`
127×	`cancel-sign-sub_binary64_2089`
120×	`associate-*r/_binary64_2066`
118×	`associate-l_binary64_2065`
114×	`unsub-neg_binary64_2118`
113×	`associate-r_binary64_2064`
104×	`neg-sub0_binary64_2119`
92×	`associate-+l+_binary64_2057`
82×	`distribute-neg-in_binary64_2085` `+-commutative_binary64_2054`
81×	`associate-+r+_binary64_2056`
76×	`distribute-rgt-neg-in_binary64_2082` `associate-+l-_binary64_2059`
69×	`distribute-lft-neg-in_binary64_2081`
67×	`/-rgt-identity_binary64_2115`
53×	`associate--r+_binary64_2060`
52×	`*-lft-identity_binary64_2113`
51×	`associate-+r-_binary64_2058`
49×	`sub0-neg_binary64_2111`
40×	`*-rgt-identity_binary64_2114`
34×	`distribute-lft-neg-out_binary64_2083`
30×	`distribute-neg-out_binary64_2086`
26×	`div0_binary64_2105` `associate--l+_binary64_2061`
24×	`distribute-rgt-out_binary64_2077`
18×	`--rgt-identity_binary64_2110` `associate--r-_binary64_2063` `associate--l-_binary64_2062`
17×	`distribute-rgt-out--_binary64_2078`
13×	`remove-double-neg_binary64_2112` `+-rgt-identity_binary64_2109` `mul0-rgt_binary64_2107`
7×	`cube-prod_binary64_2152` `mul0-lft_binary64_2106` `swap-sqr_binary64_2091`
6×	`distribute-rgt1-in_binary64_2080`
5×	`cube-div_binary64_2153` `+-lft-identity_binary64_2108`
4×	`mul-1-neg_binary64_2116` `*-inverses_binary64_2104`
3×	`sqr-neg_binary64_2138` `distribute-lft1-in_binary64_2079`
2×	`cube-neg_binary64_2151` `distribute-lft-out--_binary64_2076`
1×	`unpow3_binary64_2190` `1-exp_binary64_2168` `cube-unmult_binary64_2161` `cube-mult_binary64_2154` `+-inverses_binary64_2103` `lft-mult-inverse_binary64_2102` `rgt-mult-inverse_binary64_2101` `sqr-pow_binary64_2096` `difference-of-sqr-1_binary64_2094`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_2387` `erf-erfc_binary64_2386` `erf-odd_binary64_2385` `if-if-and-not_binary64_2384` `if-if-and_binary64_2383` `if-if-or-not_binary64_2382` `if-if-or_binary64_2381` `if-not_binary64_2380` `if-same_binary64_2379` `if-false_binary64_2378` `if-true_binary64_2377` `not-gte_binary64_2376` `not-lte_binary64_2375` `not-gt_binary64_2374` `not-lt_binary64_2373` `gte-same_binary64_2372` `lte-same_binary64_2371` `gt-same_binary64_2370` `lt-same_binary64_2369` `sinh---cosh_binary64_2316` `sinh-+-cosh_binary64_2315` `sinh-cosh_binary64_2314` `tanh-def-c_binary64_2313` `tanh-def-b_binary64_2312` `tanh-def-a_binary64_2311` `cosh-def_binary64_2310` `sinh-def_binary64_2309` `tan-neg_binary64_2256` `cos-neg_binary64_2255` `sin-neg_binary64_2254` `tan-0_binary64_2253` `cos-0_binary64_2252` `sin-0_binary64_2251` `hang-m-tan_binary64_2250` `hang-p-tan_binary64_2249` `hang-m0-tan_binary64_2248` `hang-p0-tan_binary64_2247` `hang-0m-tan_binary64_2246` `hang-0p-tan_binary64_2245` `tan-+PI/2_binary64_2244` `tan-+PI_binary64_2243` `tan-PI_binary64_2242` `tan-PI/3_binary64_2241` `tan-PI/4_binary64_2240` `tan-PI/6_binary64_2239` `cos-+PI/2_binary64_2238` `cos-+PI_binary64_2237` `cos-PI_binary64_2236` `cos-PI/2_binary64_2235` `cos-PI/3_binary64_2234` `cos-PI/4_binary64_2233` `cos-PI/6_binary64_2232` `sin-+PI/2_binary64_2231` `sin-+PI_binary64_2230` `sin-PI_binary64_2229` `sin-PI/2_binary64_2228` `sin-PI/3_binary64_2227` `sin-PI/4_binary64_2226` `sin-PI/6_binary64_2225` `sub-1-sin_binary64_2224` `sub-1-cos_binary64_2223` `-1-add-sin_binary64_2222` `-1-add-cos_binary64_2221` `1-sub-sin_binary64_2220` `1-sub-cos_binary64_2219` `cos-sin-sum_binary64_2218` `log-E_binary64_2214` `log-pow_binary64_2213` `log-rec_binary64_2212` `log-div_binary64_2211` `log-prod_binary64_2210` `pow-base-0_binary64_2208` `unpow1/3_binary64_2191` `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` `rem-3cbrt-rft_binary64_2150` `rem-3cbrt-lft_binary64_2149` `rem-cbrt-cube_binary64_2148` `rem-cube-cbrt_binary64_2147` `sqr-abs_binary64_2139` `rem-sqrt-square_binary64_2137` `rem-square-sqrt_binary64_2136` `remove-double-div_binary64_2100` `pow-sqr_binary64_2097` `difference-of-sqr--1_binary64_2095` `difference-of-squares_binary64_2093` `unswap-sqr_binary64_2092` `distribute-lft-out_binary64_2075` `count-2_binary64_2072`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	21
1	30	21
2	71	21
3	195	21
4	504	21
5	1254	21
6	2437	21
7	3311	21
8	4638	21
9	4955	21

prune2.0ms (0%)

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

0.6b

Counts

1 → 1

Compiler

Compiled 14 to 10 computations (28.6% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))
0.2b	(.f64 5 (.f64 v v))
0.6b	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

rewrite123.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

0.5b

Rules

20×	`add-sqr-sqrt_binary64_2146`
19×	`*-un-lft-identity_binary64_2124`
18×	`times-frac_binary64_2130`
15×	`add-cube-cbrt_binary64_2159`
10×	`add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`
8×	`pow1_binary64_2185` `difference-of-squares_binary64_2093`
6×	`associate-/r*_binary64_2068`
4×	`difference-of-sqr-1_binary64_2094`
3×	`add-log-exp_binary64_2163` `pow-prod-down_binary64_2195` `prod-exp_binary64_2173` `cbrt-unprod_binary64_2157` `associate-l_binary64_2065` `associate-/l*_binary64_2069`
2×	`flip3--_binary64_2128` `associate-/l/_binary64_2071` `flip--_binary64_2099` `associate-/r/_binary64_2070`
1×	`acos-asin_binary64_2305` `unswap-sqr_binary64_2092` `associate-r_binary64_2064` `*-commutative_binary64_2055` `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

3 → 71

Calls

3 calls:

9.0ms	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))
6.0ms	(.f64 5 (.f64 v v))
1.0ms	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

Compiler

Compiled 1740 to 1097 computations (37% saved)

series127.0ms (1.9%)

Error

0.6b

Counts

3 → 12

Calls

3 calls:

48.0ms	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))
38.0ms	(.f64 5 (.f64 v v))
31.0ms	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

Compiler

Compiled 370 to 330 computations (10.8% saved)

simplify114.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

440×	`associate-l_binary64_2065`
391×	`div-sub_binary64_2129`
376×	`times-frac_binary64_2130`
364×	`associate-r_binary64_2064`
235×	`associate-/l*_binary64_2069`
206×	`distribute-rgt-in_binary64_2074`
192×	`distribute-lft-in_binary64_2073`
187×	`associate-/r*_binary64_2068`
157×	`*-commutative_binary64_2055`
113×	`associate-*l/_binary64_2067`
112×	`associate-/r/_binary64_2070`
107×	`associate-/l/_binary64_2071`
91×	`exp-prod_binary64_2176`
86×	`associate-*r/_binary64_2066`
62×	`log-prod_binary64_2210`
58×	`cube-prod_binary64_2152` `neg-mul-1_binary64_2120`
56×	`log-div_binary64_2211` `distribute-rgt-out_binary64_2077`
52×	`distribute-neg-frac_binary64_2088`
49×	`+-commutative_binary64_2054`
44×	`associate-+r+_binary64_2056`
39×	`associate-+l+_binary64_2057`
37×	`distribute-rgt-neg-in_binary64_2082`
35×	`cancel-sign-sub-inv_binary64_2090`
34×	`sub-neg_binary64_2117`
32×	`cube-div_binary64_2153` `distribute-lft-neg-in_binary64_2081`
25×	`distribute-lft-out_binary64_2075`
22×	`sqr-pow_binary64_2096`
21×	`neg-sub0_binary64_2119`
16×	`unswap-sqr_binary64_2092`
14×	`*-rgt-identity_binary64_2114`
13×	`/-rgt-identity_binary64_2115`
12×	`distribute-neg-in_binary64_2085`
11×	`*-lft-identity_binary64_2113` `swap-sqr_binary64_2091`
10×	`log-rec_binary64_2212` `unpow3_binary64_2190`
9×	`cube-unmult_binary64_2161` `associate--r+_binary64_2060` `associate-+r-_binary64_2058`
8×	`distribute-rgt1-in_binary64_2080` `associate--l+_binary64_2061`
7×	`cube-mult_binary64_2154` `associate-+l-_binary64_2059`
6×	`distribute-lft1-in_binary64_2079`
5×	`log-pow_binary64_2213` `mul-1-neg_binary64_2116` `distribute-lft-neg-out_binary64_2083`
4×	`exp-sum_binary64_2170` `difference-of-sqr-1_binary64_2094` `distribute-rgt-neg-out_binary64_2084`
3×	`pow-plus_binary64_2187` `exp-diff_binary64_2172` `unsub-neg_binary64_2118` `difference-of-sqr--1_binary64_2095`
2×	`unpow1/2_binary64_2188` `distribute-rgt-out--_binary64_2078` `associate--r-_binary64_2063`
1×	`unpow2_binary64_2189` `unpow1_binary64_2182` `1-exp_binary64_2168` `exp-1-e_binary64_2167` `cube-neg_binary64_2151` `sqr-neg_binary64_2138` `rem-sqrt-square_binary64_2137` `remove-double-neg_binary64_2112` `*-inverses_binary64_2104` `pow-sqr_binary64_2097` `count-2_binary64_2072` `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` `pow-base-0_binary64_2208` `unpow1/3_binary64_2191` `exp-to-pow_binary64_2186` `pow-base-1_binary64_2184` `unpow0_binary64_2183` `unpow-1_binary64_2181` `exp-lft-cube_binary64_2180` `exp-lft-sqr_binary64_2179` `exp-cbrt_binary64_2178` `exp-sqrt_binary64_2177` `div-exp_binary64_2175` `rec-exp_binary64_2174` `prod-exp_binary64_2173` `exp-neg_binary64_2171` `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-3cbrt-lft_binary64_2149` `rem-cbrt-cube_binary64_2148` `rem-cube-cbrt_binary64_2147` `sqr-abs_binary64_2139` `rem-square-sqrt_binary64_2136` `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_2103` `lft-mult-inverse_binary64_2102` `rgt-mult-inverse_binary64_2101` `remove-double-div_binary64_2100` `difference-of-squares_binary64_2093` `cancel-sign-sub_binary64_2089` `distribute-frac-neg_binary64_2087` `distribute-neg-out_binary64_2086` `distribute-lft-out--_binary64_2076`

Counts

83 → 42

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	140	1943
1	298	1799
2	959	1785
3	3882	1785
4	4989	1785
5	4931	1785

prune51.0ms (0.8%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	40	2	42
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	41	2	43

Error

0.6b

Counts

43 → 2

Compiler

Compiled 839 to 561 computations (33.1% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (*.f64 v v) (pow.f64 v 4))
0.0b	(.f64 4 (+.f64 (.f64 v v) (pow.f64 v 4)))
0.6b	(acos.f64 (+.f64 -1 (.f64 4 (+.f64 (.f64 v v) (pow.f64 v 4)))))

rewrite74.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

0.5b

Rules

7×	`add-sqr-sqrt_binary64_2146`
5×	`pow1_binary64_2185` `add-log-exp_binary64_2163` `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` `associate-*r/_binary64_2066` `flip-+_binary64_2098`
1×	`acos-asin_binary64_2305` `pow-prod-down_binary64_2195` `prod-exp_binary64_2173` `cbrt-unprod_binary64_2157` `unswap-sqr_binary64_2092` `distribute-rgt-in_binary64_2074` `distribute-lft-in_binary64_2073` `*-commutative_binary64_2055` `sum-log_binary64_2215` `+-commutative_binary64_2054`

Counts

3 → 41

Calls

3 calls:

9.0ms	(.f64 4 (+.f64 (.f64 v v) (pow.f64 v 4)))
6.0ms	(+.f64 (*.f64 v v) (pow.f64 v 4))
2.0ms	(acos.f64 (+.f64 -1 (.f64 4 (+.f64 (.f64 v v) (pow.f64 v 4)))))

Compiler

Compiled 872 to 583 computations (33.1% saved)

series225.0ms (3.4%)

Error

0.6b

Counts

3 → 15

Calls

3 calls:

96.0ms	(.f64 4 (+.f64 (.f64 v v) (pow.f64 v 4)))
88.0ms	(+.f64 (*.f64 v v) (pow.f64 v 4))
29.0ms	(acos.f64 (+.f64 -1 (.f64 4 (+.f64 (.f64 v v) (pow.f64 v 4)))))

Compiler

Compiled 456 to 415 computations (9% saved)

simplify86.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

739×	`difference-of-squares_binary64_2093`
512×	`associate-l_binary64_2065`
435×	`associate-r_binary64_2064`
375×	`unswap-sqr_binary64_2092`
197×	`cancel-sign-sub-inv_binary64_2090`
195×	`distribute-rgt-in_binary64_2074`
186×	`sub-neg_binary64_2117`
181×	`distribute-lft-in_binary64_2073`
170×	`sqr-pow_binary64_2096`
163×	`associate-+l+_binary64_2057`
143×	`associate-+r+_binary64_2056`
118×	`*-commutative_binary64_2055`
88×	`exp-prod_binary64_2176`
87×	`distribute-rgt-neg-in_binary64_2082` `+-commutative_binary64_2054`
81×	`distribute-rgt-out_binary64_2077`
78×	`neg-mul-1_binary64_2120`
76×	`neg-sub0_binary64_2119`
71×	`distribute-lft-neg-in_binary64_2081`
67×	`cube-prod_binary64_2152`
66×	`distribute-rgt-out--_binary64_2078`
55×	`distribute-rgt1-in_binary64_2080`
48×	`pow-sqr_binary64_2097`
45×	`log-prod_binary64_2210`
44×	`swap-sqr_binary64_2091`
36×	`distribute-lft1-in_binary64_2079`
35×	`distribute-lft-out_binary64_2075`
33×	`unsub-neg_binary64_2118` `distribute-lft-out--_binary64_2076`
28×	`distribute-lft-neg-out_binary64_2083` `associate-+l-_binary64_2059`
26×	`unpow3_binary64_2190`
21×	`pow-plus_binary64_2187`
19×	`sub0-neg_binary64_2111` `distribute-rgt-neg-out_binary64_2084` `associate-+r-_binary64_2058`
18×	`cube-mult_binary64_2154`
16×	`associate-/l*_binary64_2069`
13×	`cube-unmult_binary64_2161`
11×	`exp-sum_binary64_2170` `+-rgt-identity_binary64_2109`
6×	`unpow2_binary64_2189` `+-lft-identity_binary64_2108`
5×	`log-pow_binary64_2213` `associate-/l/_binary64_2071` `associate-/r_binary64_2068` `associate-r/_binary64_2066` `associate--l+_binary64_2061`
4×	`difference-of-sqr--1_binary64_2095` `difference-of-sqr-1_binary64_2094` `associate--r+_binary64_2060`
3×	`associate-/r/_binary64_2070`
2×	`unpow1_binary64_2182` `prod-exp_binary64_2173` `times-frac_binary64_2130`
1×	`unpow1/2_binary64_2188` `1-exp_binary64_2168` `exp-1-e_binary64_2167` `rem-sqrt-square_binary64_2137` `remove-double-neg_binary64_2112` `distribute-neg-in_binary64_2085`
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-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-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_2115` `-rgt-identity_binary64_2114` `-lft-identity_binary64_2113` `--rgt-identity_binary64_2110` `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` `cancel-sign-sub_binary64_2089` `distribute-neg-frac_binary64_2088` `distribute-frac-neg_binary64_2087` `distribute-neg-out_binary64_2086` `count-2_binary64_2072` `associate-l/_binary64_2067` `associate--r-_binary64_2063` `associate--l-_binary64_2062`

Counts

56 → 43

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	77	957
1	188	842
2	558	836
3	2118	836
4	4012	836
5	6083	836

prune57.0ms (0.9%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	39	4	43
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	40	5	45

Error

0.5b

Counts

45 → 5

Compiler

Compiled 860 to 605 computations (29.7% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (pow.f64 v 4) (*.f64 v v))
0.0b	(exp.f64 (log.f64 (acos.f64 (+.f64 (.f64 4 (+.f64 (pow.f64 v 4) (.f64 v v))) -1))))
0.0b	(.f64 4 (+.f64 (pow.f64 v 4) (.f64 v v)))
0.6b	(acos.f64 (+.f64 (.f64 4 (+.f64 (pow.f64 v 4) (.f64 v v))) -1))

rewrite105.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

0.5b

Rules

10×	`add-sqr-sqrt_binary64_2146`
8×	`add-cube-cbrt_binary64_2159` `*-un-lft-identity_binary64_2124`
7×	`pow1_binary64_2185`
6×	`add-log-exp_binary64_2163` `add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`
4×	`exp-prod_binary64_2176`
3×	`associate-l_binary64_2065` `associate-r_binary64_2064` `log-prod_binary64_2210` `exp-sum_binary64_2170`
2×	`flip3-+_binary64_2127` `associate-*r/_binary64_2066` `flip-+_binary64_2098`
1×	`acos-asin_binary64_2305` `pow-prod-down_binary64_2195` `prod-exp_binary64_2173` `cbrt-unprod_binary64_2157` `unswap-sqr_binary64_2092` `distribute-rgt-in_binary64_2074` `distribute-lft-in_binary64_2073` `*-commutative_binary64_2055` `log-pow_binary64_2213` `rem-exp-log_binary64_2164` `sum-log_binary64_2215` `+-commutative_binary64_2054`

Counts

4 → 56

Calls

4 calls:

8.0ms	(.f64 4 (+.f64 (pow.f64 v 4) (.f64 v v)))
5.0ms	(+.f64 (pow.f64 v 4) (*.f64 v v))
3.0ms	(acos.f64 (+.f64 (.f64 4 (+.f64 (pow.f64 v 4) (.f64 v v))) -1))
2.0ms	(exp.f64 (log.f64 (acos.f64 (+.f64 (.f64 4 (+.f64 (pow.f64 v 4) (.f64 v v))) -1))))

Compiler

Compiled 1354 to 961 computations (29% saved)

series459.0ms (7%)

Error

0.5b

Counts

4 → 18

Calls

4 calls:

206.0ms	(exp.f64 (log.f64 (acos.f64 (+.f64 (.f64 4 (+.f64 (pow.f64 v 4) (.f64 v v))) -1))))
107.0ms	(.f64 4 (+.f64 (pow.f64 v 4) (.f64 v v)))
95.0ms	(+.f64 (pow.f64 v 4) (*.f64 v v))
30.0ms	(acos.f64 (+.f64 (.f64 4 (+.f64 (pow.f64 v 4) (.f64 v v))) -1))

Compiler

Compiled 678 to 625 computations (7.8% saved)

simplify96.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

783×	`difference-of-squares_binary64_2093`
487×	`associate-l_binary64_2065`
413×	`associate-r_binary64_2064`
376×	`unswap-sqr_binary64_2092`
200×	`cancel-sign-sub-inv_binary64_2090`
193×	`distribute-rgt-in_binary64_2074`
186×	`sqr-pow_binary64_2096`
181×	`distribute-lft-in_binary64_2073`
180×	`sub-neg_binary64_2117`
156×	`associate-+r+_binary64_2056`
150×	`associate-+l+_binary64_2057`
118×	`*-commutative_binary64_2055`
92×	`exp-prod_binary64_2176`
91×	`+-commutative_binary64_2054`
83×	`distribute-rgt-out_binary64_2077`
82×	`distribute-rgt-neg-in_binary64_2082`
72×	`neg-mul-1_binary64_2120` `distribute-lft-neg-in_binary64_2081`
70×	`neg-sub0_binary64_2119` `distribute-rgt-out--_binary64_2078`
68×	`cube-prod_binary64_2152`
55×	`pow-sqr_binary64_2097`
48×	`distribute-rgt1-in_binary64_2080`
47×	`log-prod_binary64_2210`
44×	`swap-sqr_binary64_2091`
35×	`distribute-lft-out--_binary64_2076`
32×	`distribute-lft1-in_binary64_2079` `distribute-lft-out_binary64_2075`
30×	`unsub-neg_binary64_2118`
29×	`distribute-lft-neg-out_binary64_2083`
27×	`associate-+l-_binary64_2059`
26×	`unpow3_binary64_2190`
21×	`pow-plus_binary64_2187`
19×	`associate-+r-_binary64_2058`
18×	`cube-mult_binary64_2154`
17×	`sub0-neg_binary64_2111`
16×	`associate-/l*_binary64_2069`
14×	`distribute-rgt-neg-out_binary64_2084`
13×	`exp-sum_binary64_2170` `cube-unmult_binary64_2161`
11×	`+-rgt-identity_binary64_2109`
8×	`distribute-neg-in_binary64_2085`
7×	`difference-of-sqr--1_binary64_2095`
6×	`log-pow_binary64_2213` `unpow2_binary64_2189` `rem-exp-log_binary64_2164` `+-lft-identity_binary64_2108` `associate-/l/_binary64_2071` `associate-*r/_binary64_2066`
5×	`prod-exp_binary64_2173` `associate-/r*_binary64_2068` `associate--l+_binary64_2061`
4×	`associate--r+_binary64_2060`
3×	`exp-to-pow_binary64_2186` `associate-/r/_binary64_2070`
2×	`unpow1_binary64_2182` `rem-log-exp_binary64_2165` `times-frac_binary64_2130` `count-2_binary64_2072`
1×	`unpow1/2_binary64_2188` `1-exp_binary64_2168` `exp-1-e_binary64_2167` `rem-sqrt-square_binary64_2137` `remove-double-neg_binary64_2112` `difference-of-sqr-1_binary64_2094`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_2387` `erf-erfc_binary64_2386` `erf-odd_binary64_2385` `if-if-and-not_binary64_2384` `if-if-and_binary64_2383` `if-if-or-not_binary64_2382` `if-if-or_binary64_2381` `if-not_binary64_2380` `if-same_binary64_2379` `if-false_binary64_2378` `if-true_binary64_2377` `not-gte_binary64_2376` `not-lte_binary64_2375` `not-gt_binary64_2374` `not-lt_binary64_2373` `gte-same_binary64_2372` `lte-same_binary64_2371` `gt-same_binary64_2370` `lt-same_binary64_2369` `sinh---cosh_binary64_2316` `sinh-+-cosh_binary64_2315` `sinh-cosh_binary64_2314` `tanh-def-c_binary64_2313` `tanh-def-b_binary64_2312` `tanh-def-a_binary64_2311` `cosh-def_binary64_2310` `sinh-def_binary64_2309` `tan-neg_binary64_2256` `cos-neg_binary64_2255` `sin-neg_binary64_2254` `tan-0_binary64_2253` `cos-0_binary64_2252` `sin-0_binary64_2251` `hang-m-tan_binary64_2250` `hang-p-tan_binary64_2249` `hang-m0-tan_binary64_2248` `hang-p0-tan_binary64_2247` `hang-0m-tan_binary64_2246` `hang-0p-tan_binary64_2245` `tan-+PI/2_binary64_2244` `tan-+PI_binary64_2243` `tan-PI_binary64_2242` `tan-PI/3_binary64_2241` `tan-PI/4_binary64_2240` `tan-PI/6_binary64_2239` `cos-+PI/2_binary64_2238` `cos-+PI_binary64_2237` `cos-PI_binary64_2236` `cos-PI/2_binary64_2235` `cos-PI/3_binary64_2234` `cos-PI/4_binary64_2233` `cos-PI/6_binary64_2232` `sin-+PI/2_binary64_2231` `sin-+PI_binary64_2230` `sin-PI_binary64_2229` `sin-PI/2_binary64_2228` `sin-PI/3_binary64_2227` `sin-PI/4_binary64_2226` `sin-PI/6_binary64_2225` `sub-1-sin_binary64_2224` `sub-1-cos_binary64_2223` `-1-add-sin_binary64_2222` `-1-add-cos_binary64_2221` `1-sub-sin_binary64_2220` `1-sub-cos_binary64_2219` `cos-sin-sum_binary64_2218` `log-E_binary64_2214` `log-rec_binary64_2212` `log-div_binary64_2211` `pow-base-0_binary64_2208` `unpow1/3_binary64_2191` `pow-base-1_binary64_2184` `unpow0_binary64_2183` `unpow-1_binary64_2181` `exp-lft-cube_binary64_2180` `exp-lft-sqr_binary64_2179` `exp-cbrt_binary64_2178` `exp-sqrt_binary64_2177` `div-exp_binary64_2175` `rec-exp_binary64_2174` `exp-diff_binary64_2172` `exp-neg_binary64_2171` `e-exp-1_binary64_2169` `exp-0_binary64_2166` `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_2115` `-rgt-identity_binary64_2114` `-lft-identity_binary64_2113` `--rgt-identity_binary64_2110` `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` `cancel-sign-sub_binary64_2089` `distribute-neg-frac_binary64_2088` `distribute-frac-neg_binary64_2087` `distribute-neg-out_binary64_2086` `associate-l/_binary64_2067` `associate--r-_binary64_2063` `associate--l-_binary64_2062`

Counts

74 → 41

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	101	1408
1	210	1211
2	581	1205
3	2099	1193
4	3994	1193
5	6106	1193

prune54.0ms (0.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	40	1	41
Fresh	1	3	4
Picked	0	1	1
Done	0	0	0
Total	41	5	46

Error

0.5b

Counts

46 → 5

Compiler

Compiled 807 to 593 computations (26.5% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (pow.f64 v 4) (*.f64 v v))
0.0b	(-.f64 (/.f64 PI.f64 2) (asin.f64 (+.f64 (.f64 4 (+.f64 (pow.f64 v 4) (.f64 v v))) -1)))
0.0b	(.f64 4 (+.f64 (pow.f64 v 4) (.f64 v v)))
0.6b	(asin.f64 (+.f64 (.f64 4 (+.f64 (pow.f64 v 4) (.f64 v v))) -1))

rewrite118.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

0.5b

Rules

14×	`add-sqr-sqrt_binary64_2146`
9×	`*-un-lft-identity_binary64_2124`
8×	`add-log-exp_binary64_2163`
7×	`add-cube-cbrt_binary64_2159`
6×	`pow1_binary64_2185` `add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`
3×	`associate-l_binary64_2065` `associate-r_binary64_2064` `cancel-sign-sub-inv_binary64_2090`
2×	`asin-acos_binary64_2304` `flip3-+_binary64_2127` `associate-*r/_binary64_2066` `flip-+_binary64_2098` `difference-of-squares_binary64_2093`
1×	`pow-prod-down_binary64_2195` `prod-exp_binary64_2173` `cbrt-unprod_binary64_2157` `unswap-sqr_binary64_2092` `distribute-rgt-in_binary64_2074` `distribute-lft-in_binary64_2073` `*-commutative_binary64_2055` `diff-log_binary64_2216` `flip3--_binary64_2128` `sub-neg_binary64_2117` `flip--_binary64_2099` `times-frac_binary64_2130` `distribute-lft-out--_binary64_2076` `associate--r-_binary64_2063` `sum-log_binary64_2215` `+-commutative_binary64_2054`

Counts

4 → 59

Calls

4 calls:

8.0ms	(-.f64 (/.f64 PI.f64 2) (asin.f64 (+.f64 (.f64 4 (+.f64 (pow.f64 v 4) (.f64 v v))) -1)))
8.0ms	(.f64 4 (+.f64 (pow.f64 v 4) (.f64 v v)))
5.0ms	(+.f64 (pow.f64 v 4) (*.f64 v v))
3.0ms	(asin.f64 (+.f64 (.f64 4 (+.f64 (pow.f64 v 4) (.f64 v v))) -1))

Compiler

Compiled 1615 to 1121 computations (30.6% saved)

series289.0ms (4.4%)

Error

0.5b

Counts

4 → 18

Calls

4 calls:

109.0ms	(.f64 4 (+.f64 (pow.f64 v 4) (.f64 v v)))
84.0ms	(+.f64 (pow.f64 v 4) (*.f64 v v))
47.0ms	(-.f64 (/.f64 PI.f64 2) (asin.f64 (+.f64 (.f64 4 (+.f64 (pow.f64 v 4) (.f64 v v))) -1)))
29.0ms	(asin.f64 (+.f64 (.f64 4 (+.f64 (pow.f64 v 4) (.f64 v v))) -1))

Compiler

Compiled 774 to 704 computations (9% saved)

simplify127.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

557×	`associate-l_binary64_2065`
487×	`associate-r_binary64_2064`
390×	`unswap-sqr_binary64_2092`
239×	`cancel-sign-sub-inv_binary64_2090`
220×	`distribute-rgt-in_binary64_2074`
209×	`distribute-lft-in_binary64_2073`
198×	`sub-neg_binary64_2117`
164×	`neg-mul-1_binary64_2120`
159×	`neg-sub0_binary64_2119`
133×	`*-commutative_binary64_2055`
110×	`exp-prod_binary64_2176`
95×	`distribute-rgt-neg-in_binary64_2082`
94×	`difference-of-squares_binary64_2093`
93×	`sqr-pow_binary64_2096`
87×	`distribute-lft-neg-in_binary64_2081`
86×	`distribute-rgt-out_binary64_2077`
73×	`unsub-neg_binary64_2118` `distribute-lft-neg-out_binary64_2083`
72×	`cube-prod_binary64_2152`
70×	`distribute-rgt-out--_binary64_2078`
64×	`log-prod_binary64_2210`
61×	`pow-sqr_binary64_2097`
57×	`distribute-rgt-neg-out_binary64_2084`
56×	`associate-/l*_binary64_2069`
55×	`unpow3_binary64_2190`
54×	`swap-sqr_binary64_2091`
47×	`distribute-rgt1-in_binary64_2080`
45×	`+-commutative_binary64_2054`
41×	`pow-plus_binary64_2187`
35×	`distribute-lft-out--_binary64_2076`
32×	`distribute-lft-out_binary64_2075` `associate-*l/_binary64_2067`
31×	`distribute-lft1-in_binary64_2079`
27×	`exp-sum_binary64_2170`
22×	`associate-/l/_binary64_2071`
21×	`cube-mult_binary64_2154`
20×	`cube-unmult_binary64_2161` `associate-/r/_binary64_2070` `associate-+l+_binary64_2057`
17×	`associate-/r*_binary64_2068`
14×	`associate-+r+_binary64_2056`
13×	`log-pow_binary64_2213` `associate-*r/_binary64_2066` `associate-+r-_binary64_2058`
12×	`associate-+l-_binary64_2059`
11×	`+-rgt-identity_binary64_2109` `distribute-neg-in_binary64_2085`
10×	`sub0-neg_binary64_2111`
9×	`times-frac_binary64_2130`
7×	`exp-diff_binary64_2172` `div-sub_binary64_2129` `mul0-rgt_binary64_2107` `mul0-lft_binary64_2106`
6×	`unpow2_binary64_2189` `+-lft-identity_binary64_2108`
5×	`sqr-neg_binary64_2138`
4×	`difference-of-sqr--1_binary64_2095`
3×	`rem-sqrt-square_binary64_2137` `mul-1-neg_binary64_2116` `remove-double-neg_binary64_2112` `associate--l+_binary64_2061`
2×	`unpow1_binary64_2182` `prod-exp_binary64_2173`
1×	`unpow1/2_binary64_2188` `exp-sqrt_binary64_2177` `div-exp_binary64_2175` `1-exp_binary64_2168` `exp-1-e_binary64_2167` `cube-div_binary64_2153` `cube-neg_binary64_2151` `rem-3cbrt-lft_binary64_2149` `rem-square-sqrt_binary64_2136` `+-inverses_binary64_2103` `distribute-neg-frac_binary64_2088` `count-2_binary64_2072`
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-cube_binary64_2180` `exp-lft-sqr_binary64_2179` `exp-cbrt_binary64_2178` `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` `rem-3cbrt-rft_binary64_2150` `rem-cbrt-cube_binary64_2148` `rem-cube-cbrt_binary64_2147` `sqr-abs_binary64_2139` `/-rgt-identity_binary64_2115` `-rgt-identity_binary64_2114` `-lft-identity_binary64_2113` `--rgt-identity_binary64_2110` `div0_binary64_2105` `*-inverses_binary64_2104` `lft-mult-inverse_binary64_2102` `rgt-mult-inverse_binary64_2101` `remove-double-div_binary64_2100` `difference-of-sqr-1_binary64_2094` `cancel-sign-sub_binary64_2089` `distribute-frac-neg_binary64_2087` `distribute-neg-out_binary64_2086` `associate--r-_binary64_2063` `associate--l-_binary64_2062` `associate--r+_binary64_2060`

Counts

77 → 40

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	115	1685
1	284	1556
2	739	1544
3	2665	1529
4	4353	1529
5	4948	1529
6	4916	1529

prune51.0ms (0.8%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	39	1	40
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	39	6	45

Error

0.5b

Counts

45 → 6

Compiler

Compiled 838 to 597 computations (28.8% saved)

regimes256.0ms (3.9%)

Accuracy

Total 0.0b remaining (2.1%)

Threshold costs 0.0b (2.1%)

Compiler

Compiled 3275 to 2522 computations (23% saved)

bsearch0.0ms (0%)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

15×	`neg-mul-1_binary64_2120` `neg-sub0_binary64_2119`
9×	`sub-neg_binary64_2117` `*-commutative_binary64_2055` `+-commutative_binary64_2054`
8×	`distribute-rgt-neg-in_binary64_2082`
7×	`distribute-lft-neg-in_binary64_2081`
6×	`distribute-rgt-neg-out_binary64_2084` `distribute-lft-neg-out_binary64_2083`
5×	`unsub-neg_binary64_2118` `-rgt-identity_binary64_2114` `-lft-identity_binary64_2113`
4×	`cancel-sign-sub-inv_binary64_2090`
1×	`1-exp_binary64_2168`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `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_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	14	28
1	26	28
2	41	28
3	54	28
4	78	28
5	83	28
6	86	28
7	87	28
8	83	28

end0.0ms (0%)

sample3.0s (45.3%)

Algorithm

1×

intervals

Results

1.4s	3947×	body	2048	valid
388.0ms	1936×	body	1024	valid
151.0ms	1046×	body	512	valid
51.0ms	531×	body	256	valid
29.0ms	540×	body	128	valid
0.0ms	9×	body	128	nan

Compiler

Compiled 794 to 616 computations (22.4% saved)

Details

analyze994.0ms (15.1%)

sample71.0ms (1.1%)

simplify75.0ms (1.1%)

prune2.0ms (0%)

localize8.0ms (0.1%)

rewrite123.0ms (1.9%)

series127.0ms (1.9%)

simplify114.0ms (1.7%)

prune51.0ms (0.8%)

localize8.0ms (0.1%)

rewrite74.0ms (1.1%)

series225.0ms (3.4%)

simplify86.0ms (1.3%)

prune57.0ms (0.9%)

localize13.0ms (0.2%)

rewrite105.0ms (1.6%)

series459.0ms (7%)

simplify96.0ms (1.5%)

prune54.0ms (0.8%)

localize10.0ms (0.2%)

rewrite118.0ms (1.8%)

series289.0ms (4.4%)

simplify127.0ms (1.9%)

prune51.0ms (0.8%)

regimes256.0ms (3.9%)

bsearch0.0ms (0%)

simplify5.0ms (0.1%)

end0.0ms (0%)

sample3.0s (45.3%)

Profiling