Details

analyze346.0ms (1.3%)

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
50%	50%	0.1%	5
50%	50%	0.1%	6
50%	37.5%	12.6%	7
50%	37.5%	12.6%	8
50%	31.2%	18.8%	9
50%	31.2%	18.8%	10
50%	28.1%	22%	11
50%	28.1%	22%	12
50%	26.5%	23.5%	13
50%	26.5%	23.5%	14

Compiler

Compiled 13 to 12 computations (7.7% saved)

sample126.0ms (0.5%)

Algorithm

1×

intervals

Results

62.0ms	165×	body	1024	valid
15.0ms	69×	body	1024	invalid
13.0ms	49×	body	512	valid
8.0ms	13×	body	2048	valid
5.0ms	32×	body	512	invalid
2.0ms	17×	body	256	valid
2.0ms	17×	body	256	invalid
1.0ms	23×	body	128	invalid
1.0ms	12×	body	128	valid

Compiler

Compiled 25 to 25 computations (0% saved)

simplify194.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

626×	`associate-/l*_binary64_2069`
547×	`div-sub_binary64_2129`
534×	`unswap-sqr_binary64_2092`
468×	`sub-neg_binary64_2117`
462×	`times-frac_binary64_2130`
367×	`associate-/r*_binary64_2068`
357×	`distribute-neg-frac_binary64_2088`
321×	`cancel-sign-sub-inv_binary64_2090`
252×	`distribute-rgt-neg-in_binary64_2082`
229×	`neg-mul-1_binary64_2120`
226×	`neg-sub0_binary64_2119`
223×	`associate-l_binary64_2065`
204×	`associate-r_binary64_2064`
189×	`associate-/l/_binary64_2071`
181×	`distribute-lft-neg-in_binary64_2081`
150×	`associate-/r/_binary64_2070` `*-commutative_binary64_2055`
148×	`distribute-rgt-neg-out_binary64_2084`
130×	`difference-of-squares_binary64_2093`
125×	`div0_binary64_2105`
118×	`distribute-rgt-in_binary64_2074`
111×	`associate-*l/_binary64_2067`
109×	`unsub-neg_binary64_2118`
92×	`distribute-lft-in_binary64_2073`
84×	`remove-double-neg_binary64_2112`
79×	`distribute-lft-neg-out_binary64_2083`
71×	`sqr-pow_binary64_2096`
58×	`distribute-frac-neg_binary64_2087`
49×	`associate-*r/_binary64_2066`
43×	`*-lft-identity_binary64_2113`
40×	`distribute-neg-in_binary64_2085`
33×	`*-rgt-identity_binary64_2114` `pow-sqr_binary64_2097`
32×	`cube-prod_binary64_2152`
27×	`mul0-rgt_binary64_2107` `mul0-lft_binary64_2106`
26×	`associate--r+_binary64_2060`
22×	`/-rgt-identity_binary64_2115`
16×	`mul-1-neg_binary64_2116` `associate-+l-_binary64_2059`
14×	`sub0-neg_binary64_2111`
12×	`remove-double-div_binary64_2100` `cancel-sign-sub_binary64_2089`
11×	`exp-prod_binary64_2176` `swap-sqr_binary64_2091` `+-commutative_binary64_2054`
10×	`pow-plus_binary64_2187` `+-lft-identity_binary64_2108`
9×	`cube-unmult_binary64_2161` `distribute-rgt-out--_binary64_2078`
8×	`unpow3_binary64_2190` `exp-sum_binary64_2170`
7×	`--rgt-identity_binary64_2110`
5×	`exp-diff_binary64_2172`
4×	`unpow2_binary64_2189` `associate--l+_binary64_2061`
3×	`exp-lft-sqr_binary64_2179` `cube-mult_binary64_2154` `cube-neg_binary64_2151` `sqr-neg_binary64_2138` `associate-+l+_binary64_2057`
2×	`exp-sqrt_binary64_2177` `rec-exp_binary64_2174` `distribute-rgt-out_binary64_2077` `associate--r-_binary64_2063` `associate--l-_binary64_2062`
1×	`unpow1_binary64_2182` `prod-exp_binary64_2173` `exp-neg_binary64_2171` `exp-1-e_binary64_2167` `exp-0_binary64_2166` `+-rgt-identity_binary64_2109` `distribute-lft-out--_binary64_2076` `associate-+r-_binary64_2058` `associate-+r+_binary64_2056`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_2387` `erf-erfc_binary64_2386` `erf-odd_binary64_2385` `if-if-and-not_binary64_2384` `if-if-and_binary64_2383` `if-if-or-not_binary64_2382` `if-if-or_binary64_2381` `if-not_binary64_2380` `if-same_binary64_2379` `if-false_binary64_2378` `if-true_binary64_2377` `not-gte_binary64_2376` `not-lte_binary64_2375` `not-gt_binary64_2374` `not-lt_binary64_2373` `gte-same_binary64_2372` `lte-same_binary64_2371` `gt-same_binary64_2370` `lt-same_binary64_2369` `sinh---cosh_binary64_2316` `sinh-+-cosh_binary64_2315` `sinh-cosh_binary64_2314` `tanh-def-c_binary64_2313` `tanh-def-b_binary64_2312` `tanh-def-a_binary64_2311` `cosh-def_binary64_2310` `sinh-def_binary64_2309` `tan-neg_binary64_2256` `cos-neg_binary64_2255` `sin-neg_binary64_2254` `tan-0_binary64_2253` `cos-0_binary64_2252` `sin-0_binary64_2251` `hang-m-tan_binary64_2250` `hang-p-tan_binary64_2249` `hang-m0-tan_binary64_2248` `hang-p0-tan_binary64_2247` `hang-0m-tan_binary64_2246` `hang-0p-tan_binary64_2245` `tan-+PI/2_binary64_2244` `tan-+PI_binary64_2243` `tan-PI_binary64_2242` `tan-PI/3_binary64_2241` `tan-PI/4_binary64_2240` `tan-PI/6_binary64_2239` `cos-+PI/2_binary64_2238` `cos-+PI_binary64_2237` `cos-PI_binary64_2236` `cos-PI/2_binary64_2235` `cos-PI/3_binary64_2234` `cos-PI/4_binary64_2233` `cos-PI/6_binary64_2232` `sin-+PI/2_binary64_2231` `sin-+PI_binary64_2230` `sin-PI_binary64_2229` `sin-PI/2_binary64_2228` `sin-PI/3_binary64_2227` `sin-PI/4_binary64_2226` `sin-PI/6_binary64_2225` `sub-1-sin_binary64_2224` `sub-1-cos_binary64_2223` `-1-add-sin_binary64_2222` `-1-add-cos_binary64_2221` `1-sub-sin_binary64_2220` `1-sub-cos_binary64_2219` `cos-sin-sum_binary64_2218` `log-E_binary64_2214` `log-pow_binary64_2213` `log-rec_binary64_2212` `log-div_binary64_2211` `log-prod_binary64_2210` `pow-base-0_binary64_2208` `unpow1/3_binary64_2191` `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-cbrt_binary64_2178` `div-exp_binary64_2175` `e-exp-1_binary64_2169` `1-exp_binary64_2168` `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-sqrt-square_binary64_2137` `rem-square-sqrt_binary64_2136` `*-inverses_binary64_2104` `+-inverses_binary64_2103` `lft-mult-inverse_binary64_2102` `rgt-mult-inverse_binary64_2101` `difference-of-sqr--1_binary64_2095` `difference-of-sqr-1_binary64_2094` `distribute-neg-out_binary64_2086` `distribute-rgt1-in_binary64_2080` `distribute-lft1-in_binary64_2079` `distribute-lft-out_binary64_2075` `count-2_binary64_2072`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	18
1	22	18
2	49	18
3	104	18
4	174	18
5	306	18
6	543	18
7	1241	18
8	3282	18
9	4150	18
10	4354	18
11	5340	18

prune4.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

58.1b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize9.0ms (0%)

Local error

Found 2 expressions with local error:

0.0b	(.f64 (.f64 1/2 (cos.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
6.1b	(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

rewrite72.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Error

58.0b

Rules

10×	`add-sqr-sqrt_binary64_2146` `*-un-lft-identity_binary64_2124`
9×	`cancel-sign-sub-inv_binary64_2090`
7×	`pow1_binary64_2185` `add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`
6×	`add-cube-cbrt_binary64_2159`
5×	`associate-r_binary64_2064`
4×	`add-log-exp_binary64_2163` `distribute-rgt-in_binary64_2074` `distribute-lft-in_binary64_2073`
3×	`sub-neg_binary64_2117` `pow-prod-down_binary64_2195` `prod-exp_binary64_2173` `cbrt-unprod_binary64_2157`
2×	`flip3--_binary64_2128` `flip--_binary64_2099` `difference-of-squares_binary64_2093` `distribute-lft-out--_binary64_2076` `associate-*r/_binary64_2066`
1×	`diff-log_binary64_2216` `associate-l_binary64_2065` `*-commutative_binary64_2055`

Counts

2 → 46

Calls

2 calls:

12.0ms	(.f64 (.f64 1/2 (cos.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
7.0ms	(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

Compiler

Compiled 925 to 309 computations (66.6% saved)

series206.0ms (0.8%)

Error

0.1b

Counts

2 → 16

Calls

2 calls:

153.0ms	(.f64 (.f64 1/2 (cos.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
31.0ms	(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

Compiler

Compiled 618 to 455 computations (26.4% saved)

simplify109.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

841×	`times-frac_binary64_2130`
402×	`*-commutative_binary64_2055`
333×	`exp-prod_binary64_2176`
259×	`distribute-rgt-in_binary64_2074`
252×	`unsub-neg_binary64_2118`
206×	`distribute-lft-in_binary64_2073`
204×	`sub-neg_binary64_2117`
185×	`associate-l_binary64_2065`
155×	`associate-r_binary64_2064`
125×	`neg-sub0_binary64_2119`
121×	`neg-mul-1_binary64_2120`
110×	`associate-+r+_binary64_2056`
94×	`cancel-sign-sub-inv_binary64_2090`
87×	`distribute-rgt-neg-in_binary64_2082`
86×	`associate--r+_binary64_2060`
85×	`distribute-lft-neg-in_binary64_2081`
83×	`associate-+l+_binary64_2057`
74×	`+-commutative_binary64_2054`
72×	`associate-+r-_binary64_2058`
54×	`distribute-neg-in_binary64_2085`
52×	`associate-+l-_binary64_2059`
42×	`exp-sum_binary64_2170`
36×	`sqr-pow_binary64_2096`
34×	`distribute-rgt-neg-out_binary64_2084`
33×	`distribute-lft-neg-out_binary64_2083`
27×	`associate-/r*_binary64_2068`
26×	`exp-diff_binary64_2172`
25×	`cube-prod_binary64_2152` `associate--l+_binary64_2061`
23×	`associate-*l/_binary64_2067`
22×	`distribute-rgt-out_binary64_2077` `associate-*r/_binary64_2066`
20×	`log-prod_binary64_2210`
18×	`*-rgt-identity_binary64_2114`
17×	`*-lft-identity_binary64_2113` `distribute-lft-out_binary64_2075`
15×	`unpow3_binary64_2190` `unswap-sqr_binary64_2092` `swap-sqr_binary64_2091`
14×	`associate--l-_binary64_2062`
13×	`associate-/l*_binary64_2069`
11×	`exp-neg_binary64_2171`
8×	`prod-exp_binary64_2173` `div-sub_binary64_2129`
7×	`unpow1/2_binary64_2188` `cube-unmult_binary64_2161` `distribute-rgt-out--_binary64_2078`
5×	`cube-mult_binary64_2154` `+-rgt-identity_binary64_2109` `distribute-neg-out_binary64_2086`
4×	`cube-div_binary64_2153` `rem-sqrt-square_binary64_2137` `difference-of-squares_binary64_2093`
3×	`div-exp_binary64_2175` `pow-sqr_binary64_2097` `distribute-rgt1-in_binary64_2080` `distribute-lft1-in_binary64_2079` `distribute-lft-out--_binary64_2076` `associate--r-_binary64_2063`
2×	`rec-exp_binary64_2174` `mul-1-neg_binary64_2116` `sub0-neg_binary64_2111` `distribute-neg-frac_binary64_2088`
1×	`unpow2_binary64_2189` `unpow1_binary64_2182` `1-exp_binary64_2168` `exp-1-e_binary64_2167` `rem-3cbrt-lft_binary64_2149` `sqr-neg_binary64_2138` `rem-square-sqrt_binary64_2136` `mul0-lft_binary64_2106` `lft-mult-inverse_binary64_2102` `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-pow_binary64_2213` `log-rec_binary64_2212` `log-div_binary64_2211` `pow-base-0_binary64_2208` `unpow1/3_binary64_2191` `pow-plus_binary64_2187` `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` `e-exp-1_binary64_2169` `exp-0_binary64_2166` `rem-log-exp_binary64_2165` `rem-exp-log_binary64_2164` `cube-neg_binary64_2151` `rem-3cbrt-rft_binary64_2150` `rem-cbrt-cube_binary64_2148` `rem-cube-cbrt_binary64_2147` `sqr-abs_binary64_2139` `/-rgt-identity_binary64_2115` `remove-double-neg_binary64_2112` `--rgt-identity_binary64_2110` `+-lft-identity_binary64_2108` `mul0-rgt_binary64_2107` `div0_binary64_2105` `*-inverses_binary64_2104` `+-inverses_binary64_2103` `rgt-mult-inverse_binary64_2101` `remove-double-div_binary64_2100` `difference-of-sqr--1_binary64_2095` `difference-of-sqr-1_binary64_2094` `cancel-sign-sub_binary64_2089` `distribute-frac-neg_binary64_2087` `associate-/l/_binary64_2071` `associate-/r/_binary64_2070`

Counts

62 → 149

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	145	1348
1	389	1165
2	1291	1131
3	3014	1131
4	4947	1131
5	5053	1131

prune140.0ms (0.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	147	2	149
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	147	3	150

Error

0.1b

Counts

150 → 3

Compiler

Compiled 2887 to 1194 computations (58.6% saved)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 1/2520 (pow.f64 im 7))
0.1b	(*.f64 1/60 (pow.f64 im 5))
0.1b	(.f64 (.f64 1/2 (cos.f64 re)) (-.f64 (-.f64 (-.f64 (.f64 -2 im) (.f64 1/3 (pow.f64 im 3))) (.f64 1/60 (pow.f64 im 5))) (.f64 1/2520 (pow.f64 im 7))))
0.1b	(*.f64 1/3 (pow.f64 im 3))

rewrite279.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

32×	`add-sqr-sqrt_binary64_2146`
29×	`associate-r_binary64_2064`
24×	`add-exp-log_binary64_2162`
15×	`add-cbrt-cube_binary64_2160` `add-cube-cbrt_binary64_2159` `*-un-lft-identity_binary64_2124`
12×	`prod-exp_binary64_2173` `unpow-prod-down_binary64_2203` `associate--l+_binary64_2061`
10×	`unswap-sqr_binary64_2092` `associate-l_binary64_2065`
9×	`pow1_binary64_2185`
6×	`cbrt-unprod_binary64_2157` `sqr-pow_binary64_2096` `sub-neg_binary64_2117` `distribute-rgt-in_binary64_2074` `cancel-sign-sub-inv_binary64_2090` `distribute-lft-in_binary64_2073`
4×	`add-log-exp_binary64_2163` `cube-prod_binary64_2152` `*-commutative_binary64_2055`
3×	`pow-to-exp_binary64_2193` `pow-exp_binary64_2192` `pow-prod-down_binary64_2195`
2×	`associate-*r/_binary64_2066`
1×	`unpow3_binary64_2190` `cube-mult_binary64_2154` `flip3--_binary64_2128` `flip--_binary64_2099`

Counts

4 → 113

Calls

4 calls:

15.0ms	(.f64 (.f64 1/2 (cos.f64 re)) (-.f64 (-.f64 (-.f64 (.f64 -2 im) (.f64 1/3 (pow.f64 im 3))) (.f64 1/60 (pow.f64 im 5))) (.f64 1/2520 (pow.f64 im 7))))
7.0ms	(*.f64 1/3 (pow.f64 im 3))
6.0ms	(*.f64 1/2520 (pow.f64 im 7))
6.0ms	(*.f64 1/60 (pow.f64 im 5))

Compiler

Compiled 3971 to 3092 computations (22.1% saved)

series466.0ms (1.8%)

Error

0.1b

Counts

4 → 21

Calls

4 calls:

301.0ms	(.f64 (.f64 1/2 (cos.f64 re)) (-.f64 (-.f64 (-.f64 (.f64 -2 im) (.f64 1/3 (pow.f64 im 3))) (.f64 1/60 (pow.f64 im 5))) (.f64 1/2520 (pow.f64 im 7))))
52.0ms	(*.f64 1/2520 (pow.f64 im 7))
43.0ms	(*.f64 1/60 (pow.f64 im 5))
37.0ms	(*.f64 1/3 (pow.f64 im 3))

Compiler

Compiled 1692 to 1380 computations (18.4% saved)

simplify104.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

481×	`distribute-rgt-in_binary64_2074`
351×	`associate-r_binary64_2064`
346×	`associate-l_binary64_2065`
336×	`cancel-sign-sub-inv_binary64_2090`
235×	`*-commutative_binary64_2055`
178×	`distribute-rgt-neg-in_binary64_2082`
172×	`distribute-lft-neg-in_binary64_2081`
167×	`unswap-sqr_binary64_2092`
134×	`sub-neg_binary64_2117`
130×	`associate-+r+_binary64_2056`
122×	`distribute-neg-in_binary64_2085`
109×	`+-commutative_binary64_2054`
87×	`associate-+l+_binary64_2057`
73×	`sqr-pow_binary64_2096`
58×	`neg-sub0_binary64_2119` `distribute-rgt-out_binary64_2077`
55×	`neg-mul-1_binary64_2120`
54×	`log-prod_binary64_2210`
45×	`exp-prod_binary64_2176`
44×	`unsub-neg_binary64_2118`
41×	`distribute-lft-in_binary64_2073`
40×	`swap-sqr_binary64_2091`
38×	`cube-prod_binary64_2152`
37×	`associate--l+_binary64_2061`
36×	`distribute-lft-neg-out_binary64_2083`
32×	`associate--r+_binary64_2060`
27×	`distribute-rgt-neg-out_binary64_2084` `distribute-lft-out_binary64_2075`
17×	`*-rgt-identity_binary64_2114`
15×	`cube-unmult_binary64_2161` `*-lft-identity_binary64_2113`
11×	`pow-sqr_binary64_2097`
9×	`log-pow_binary64_2213` `unpow3_binary64_2190` `associate--l-_binary64_2062`
8×	`associate-+l-_binary64_2059`
7×	`exp-diff_binary64_2172` `cube-mult_binary64_2154` `div-sub_binary64_2129`
6×	`+-rgt-identity_binary64_2109` `associate-+r-_binary64_2058`
5×	`exp-sum_binary64_2170` `rem-sqrt-square_binary64_2137` `distribute-rgt-out--_binary64_2078`
4×	`distribute-neg-out_binary64_2086`
3×	`pow-plus_binary64_2187` `sub0-neg_binary64_2111` `difference-of-squares_binary64_2093` `distribute-rgt1-in_binary64_2080`
2×	`unpow1/2_binary64_2188` `mul-1-neg_binary64_2116`
1×	`unpow1/3_binary64_2191` `unpow2_binary64_2189` `unpow1_binary64_2182` `1-exp_binary64_2168` `exp-1-e_binary64_2167` `rem-cbrt-cube_binary64_2148` `rem-cube-cbrt_binary64_2147` `rem-square-sqrt_binary64_2136` `distribute-lft1-in_binary64_2079` `distribute-lft-out--_binary64_2076`
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-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` `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` `/-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` `cancel-sign-sub_binary64_2089` `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--r-_binary64_2063`

Counts

134 → 159

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	339	3179
1	807	2882
2	2834	2814
3	5189	2814

prune375.0ms (1.4%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	153	6	159
Fresh	1	0	1
Picked	0	1	1
Done	0	1	1
Total	154	8	162

Error

0.0b

Counts

162 → 8

Compiler

Compiled 6140 to 4622 computations (24.7% saved)

localize29.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (-.f64 (-.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (.f64 1/60 (pow.f64 im 5))) (.f64 1/2520 (pow.f64 im 7)))) (cbrt.f64 (-.f64 (-.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (.f64 1/60 (pow.f64 im 5))) (*.f64 1/2520 (pow.f64 im 7)))))
0.6b	(cbrt.f64 (-.f64 (-.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (.f64 1/60 (pow.f64 im 5))) (.f64 1/2520 (pow.f64 im 7))))
0.6b	(cbrt.f64 (-.f64 (-.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (.f64 1/60 (pow.f64 im 5))) (.f64 1/2520 (pow.f64 im 7))))
0.6b	(cbrt.f64 (-.f64 (-.f64 (-.f64 (.f64 -2 im) (.f64 1/3 (pow.f64 im 3))) (.f64 1/60 (pow.f64 im 5))) (.f64 1/2520 (pow.f64 im 7))))

rewrite857.0ms (3.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

25×	`cbrt-prod_binary64_2155`
23×	`add-sqr-sqrt_binary64_2146`
18×	`cbrt-div_binary64_2156`
15×	`add-cube-cbrt_binary64_2159` `*-un-lft-identity_binary64_2124`
11×	`pow1_binary64_2185`
9×	`pow1/3_binary64_2206` `flip3--_binary64_2128` `flip--_binary64_2099`
6×	`add-exp-log_binary64_2162` `swap-sqr_binary64_2091` `associate-l_binary64_2065` `associate-r_binary64_2064`
4×	`add-log-exp_binary64_2163` `add-cbrt-cube_binary64_2160` `frac-times_binary64_2134` `unswap-sqr_binary64_2092`
2×	`pow-prod-down_binary64_2195` `pow-prod-up_binary64_2194` `pow-sqr_binary64_2097` `associate-l/_binary64_2067` `associate-r/_binary64_2066`
1×	`pow2_binary64_2205` `pow-plus_binary64_2187` `prod-exp_binary64_2173` `cbrt-unprod_binary64_2157` `*-commutative_binary64_2055`

Counts

4 → 87

Calls

4 calls:

25.0ms	(.f64 (cbrt.f64 (-.f64 (-.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (.f64 1/60 (pow.f64 im 5))) (.f64 1/2520 (pow.f64 im 7)))) (cbrt.f64 (-.f64 (-.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (.f64 1/60 (pow.f64 im 5))) (*.f64 1/2520 (pow.f64 im 7)))))
12.0ms	(cbrt.f64 (-.f64 (-.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (.f64 1/60 (pow.f64 im 5))) (.f64 1/2520 (pow.f64 im 7))))
10.0ms	(cbrt.f64 (-.f64 (-.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (.f64 1/60 (pow.f64 im 5))) (.f64 1/2520 (pow.f64 im 7))))
10.0ms	(cbrt.f64 (-.f64 (-.f64 (-.f64 (.f64 -2 im) (.f64 1/3 (pow.f64 im 3))) (.f64 1/60 (pow.f64 im 5))) (.f64 1/2520 (pow.f64 im 7))))

Compiler

Compiled 8951 to 7316 computations (18.3% saved)

series745.0ms (2.8%)

Error

0.0b

Counts

4 → 26

Calls

4 calls:

242.0ms	(.f64 (cbrt.f64 (-.f64 (-.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (.f64 1/60 (pow.f64 im 5))) (.f64 1/2520 (pow.f64 im 7)))) (cbrt.f64 (-.f64 (-.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (.f64 1/60 (pow.f64 im 5))) (*.f64 1/2520 (pow.f64 im 7)))))
142.0ms	(cbrt.f64 (-.f64 (-.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (.f64 1/60 (pow.f64 im 5))) (.f64 1/2520 (pow.f64 im 7))))
139.0ms	(cbrt.f64 (-.f64 (-.f64 (-.f64 (.f64 -2 im) (.f64 1/3 (pow.f64 im 3))) (.f64 1/60 (pow.f64 im 5))) (.f64 1/2520 (pow.f64 im 7))))
135.0ms	(cbrt.f64 (-.f64 (-.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (.f64 1/60 (pow.f64 im 5))) (.f64 1/2520 (pow.f64 im 7))))

Compiler

Compiled 4858 to 4208 computations (13.4% saved)

simplify197.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

546×	`associate-l_binary64_2065`
525×	`associate-r_binary64_2064`
417×	`unswap-sqr_binary64_2092`
210×	`*-commutative_binary64_2055`
152×	`exp-prod_binary64_2176`
134×	`distribute-lft-in_binary64_2073`
133×	`distribute-rgt-in_binary64_2074`
125×	`times-frac_binary64_2130`
118×	`sub-neg_binary64_2117`
114×	`sqr-pow_binary64_2096`
107×	`cancel-sign-sub-inv_binary64_2090`
104×	`associate-/l*_binary64_2069`
80×	`unsub-neg_binary64_2118`
77×	`neg-sub0_binary64_2119`
76×	`associate-/r*_binary64_2068`
69×	`distribute-rgt-neg-in_binary64_2082`
67×	`neg-mul-1_binary64_2120`
66×	`distribute-lft-neg-in_binary64_2081`
60×	`exp-sum_binary64_2170`
49×	`+-commutative_binary64_2054`
41×	`associate-+r+_binary64_2056`
38×	`associate-+l+_binary64_2057`
35×	`log-prod_binary64_2210` `cube-prod_binary64_2152`
32×	`associate-*l/_binary64_2067`
28×	`distribute-rgt-out_binary64_2077`
26×	`pow-sqr_binary64_2097` `associate-/r/_binary64_2070` `associate-*r/_binary64_2066`
25×	`exp-to-pow_binary64_2186`
24×	`*-lft-identity_binary64_2113`
23×	`*-rgt-identity_binary64_2114` `associate-+r-_binary64_2058`
20×	`distribute-rgt-neg-out_binary64_2084`
19×	`exp-diff_binary64_2172` `distribute-lft-neg-out_binary64_2083` `associate-+l-_binary64_2059`
18×	`div-sub_binary64_2129`
17×	`associate--l+_binary64_2061`
14×	`cube-unmult_binary64_2161`
13×	`unpow1/3_binary64_2191` `pow-plus_binary64_2187`
12×	`+-rgt-identity_binary64_2109`
11×	`unpow3_binary64_2190`
9×	`remove-double-neg_binary64_2112` `sub0-neg_binary64_2111` `associate-/l/_binary64_2071` `associate--l-_binary64_2062`
8×	`exp-neg_binary64_2171` `swap-sqr_binary64_2091` `associate--r+_binary64_2060`
7×	`rem-sqrt-square_binary64_2137` `difference-of-squares_binary64_2093`
6×	`log-pow_binary64_2213` `distribute-lft-out_binary64_2075`
5×	`rem-exp-log_binary64_2164` `cube-mult_binary64_2154` `distribute-neg-in_binary64_2085`
4×	`log-div_binary64_2211` `associate--r-_binary64_2063`
3×	`unpow1/2_binary64_2188` `rem-3cbrt-lft_binary64_2149` `--rgt-identity_binary64_2110`
2×	`unpow2_binary64_2189` `unpow1_binary64_2182` `exp-lft-sqr_binary64_2179` `sqr-neg_binary64_2138` `cancel-sign-sub_binary64_2089` `distribute-neg-out_binary64_2086` `count-2_binary64_2072`
1×	`log-rec_binary64_2212` `prod-exp_binary64_2173` `1-exp_binary64_2168` `exp-1-e_binary64_2167` `rem-3cbrt-rft_binary64_2150` `rem-square-sqrt_binary64_2136` `distribute-rgt-out--_binary64_2078` `distribute-lft-out--_binary64_2076`
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` `pow-base-1_binary64_2184` `unpow0_binary64_2183` `unpow-1_binary64_2181` `exp-lft-cube_binary64_2180` `exp-cbrt_binary64_2178` `exp-sqrt_binary64_2177` `div-exp_binary64_2175` `rec-exp_binary64_2174` `e-exp-1_binary64_2169` `exp-0_binary64_2166` `rem-log-exp_binary64_2165` `cube-div_binary64_2153` `cube-neg_binary64_2151` `rem-cbrt-cube_binary64_2148` `rem-cube-cbrt_binary64_2147` `sqr-abs_binary64_2139` `mul-1-neg_binary64_2116` `/-rgt-identity_binary64_2115` `+-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` `distribute-neg-frac_binary64_2088` `distribute-frac-neg_binary64_2087` `distribute-rgt1-in_binary64_2080` `distribute-lft1-in_binary64_2079`

Counts

113 → 209

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	189	7429
1	407	7053
2	1045	6055
3	3961	5824
4	5200	5824

prune2.2s (8.5%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	208	1	209
Fresh	0	5	5
Picked	1	0	1
Done	0	2	2
Total	209	8	217

Error

0.0b

Counts

217 → 8

Compiler

Compiled 20662 to 16834 computations (18.5% saved)

localize35.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (.f64 (.f64 1/2 (cos.f64 re)) (-.f64 (-.f64 (-.f64 (.f64 -2 im) (.f64 1/3 (pow.f64 im 3))) (.f64 1/60 (pow.f64 im 5))) (.f64 1/2520 (pow.f64 im 7))))) (cbrt.f64 (.f64 (.f64 1/2 (cos.f64 re)) (-.f64 (-.f64 (-.f64 (.f64 -2 im) (.f64 1/3 (pow.f64 im 3))) (.f64 1/60 (pow.f64 im 5))) (*.f64 1/2520 (pow.f64 im 7))))))
0.6b	(cbrt.f64 (.f64 (.f64 1/2 (cos.f64 re)) (-.f64 (-.f64 (-.f64 (.f64 -2 im) (.f64 1/3 (pow.f64 im 3))) (.f64 1/60 (pow.f64 im 5))) (.f64 1/2520 (pow.f64 im 7)))))
0.6b	(cbrt.f64 (.f64 (.f64 1/2 (cos.f64 re)) (-.f64 (-.f64 (-.f64 (.f64 -2 im) (.f64 1/3 (pow.f64 im 3))) (.f64 1/60 (pow.f64 im 5))) (.f64 1/2520 (pow.f64 im 7)))))
0.6b	(cbrt.f64 (.f64 (.f64 1/2 (cos.f64 re)) (-.f64 (-.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (.f64 1/60 (pow.f64 im 5))) (.f64 1/2520 (pow.f64 im 7)))))

rewrite580.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

20×	`associate-*r/_binary64_2066`
18×	`cbrt-div_binary64_2156`
11×	`pow1_binary64_2185`
10×	`add-sqr-sqrt_binary64_2146`
9×	`pow1/3_binary64_2206` `flip3--_binary64_2128` `flip--_binary64_2099`
8×	`add-cube-cbrt_binary64_2159` `*-un-lft-identity_binary64_2124`
7×	`cbrt-prod_binary64_2155`
6×	`add-exp-log_binary64_2162`
4×	`add-log-exp_binary64_2163` `add-cbrt-cube_binary64_2160` `frac-times_binary64_2134` `swap-sqr_binary64_2091` `associate-l_binary64_2065` `associate-r_binary64_2064`
2×	`pow-prod-down_binary64_2195` `pow-prod-up_binary64_2194` `pow-sqr_binary64_2097` `associate-*l/_binary64_2067`
1×	`pow2_binary64_2205` `pow-plus_binary64_2187` `prod-exp_binary64_2173` `cbrt-unprod_binary64_2157` `unswap-sqr_binary64_2092` `*-commutative_binary64_2055`

Counts

4 → 72

Calls

4 calls:

15.0ms	(.f64 (cbrt.f64 (.f64 (.f64 1/2 (cos.f64 re)) (-.f64 (-.f64 (-.f64 (.f64 -2 im) (.f64 1/3 (pow.f64 im 3))) (.f64 1/60 (pow.f64 im 5))) (.f64 1/2520 (pow.f64 im 7))))) (cbrt.f64 (.f64 (.f64 1/2 (cos.f64 re)) (-.f64 (-.f64 (-.f64 (.f64 -2 im) (.f64 1/3 (pow.f64 im 3))) (.f64 1/60 (pow.f64 im 5))) (*.f64 1/2520 (pow.f64 im 7))))))
12.0ms	(cbrt.f64 (.f64 (.f64 1/2 (cos.f64 re)) (-.f64 (-.f64 (-.f64 (.f64 -2 im) (.f64 1/3 (pow.f64 im 3))) (.f64 1/60 (pow.f64 im 5))) (.f64 1/2520 (pow.f64 im 7)))))
12.0ms	(cbrt.f64 (.f64 (.f64 1/2 (cos.f64 re)) (-.f64 (-.f64 (-.f64 (.f64 -2 im) (.f64 1/3 (pow.f64 im 3))) (.f64 1/60 (pow.f64 im 5))) (.f64 1/2520 (pow.f64 im 7)))))
12.0ms	(cbrt.f64 (.f64 (.f64 1/2 (cos.f64 re)) (-.f64 (-.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (.f64 1/60 (pow.f64 im 5))) (.f64 1/2520 (pow.f64 im 7)))))

Compiler

Compiled 8066 to 6395 computations (20.7% saved)

series6.3s (23.9%)

Error

0.0b

Counts

4 → 41

Calls

4 calls:

1.6s	(cbrt.f64 (.f64 (.f64 1/2 (cos.f64 re)) (-.f64 (-.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (.f64 1/60 (pow.f64 im 5))) (.f64 1/2520 (pow.f64 im 7)))))
1.6s	(cbrt.f64 (.f64 (.f64 1/2 (cos.f64 re)) (-.f64 (-.f64 (-.f64 (.f64 -2 im) (.f64 1/3 (pow.f64 im 3))) (.f64 1/60 (pow.f64 im 5))) (.f64 1/2520 (pow.f64 im 7)))))
1.6s	(cbrt.f64 (.f64 (.f64 1/2 (cos.f64 re)) (-.f64 (-.f64 (-.f64 (.f64 -2 im) (.f64 1/3 (pow.f64 im 3))) (.f64 1/60 (pow.f64 im 5))) (.f64 1/2520 (pow.f64 im 7)))))
1.4s	(.f64 (cbrt.f64 (.f64 (.f64 1/2 (cos.f64 re)) (-.f64 (-.f64 (-.f64 (.f64 -2 im) (.f64 1/3 (pow.f64 im 3))) (.f64 1/60 (pow.f64 im 5))) (.f64 1/2520 (pow.f64 im 7))))) (cbrt.f64 (.f64 (.f64 1/2 (cos.f64 re)) (-.f64 (-.f64 (-.f64 (.f64 -2 im) (.f64 1/3 (pow.f64 im 3))) (.f64 1/60 (pow.f64 im 5))) (*.f64 1/2520 (pow.f64 im 7))))))

Compiler

Compiled 12110 to 10085 computations (16.7% saved)

simplify211.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

380×	`distribute-rgt-in_binary64_2074`
378×	`distribute-lft-in_binary64_2073`
206×	`associate-r_binary64_2064`
204×	`times-frac_binary64_2130`
177×	`associate-l_binary64_2065`
160×	`cancel-sign-sub-inv_binary64_2090`
138×	`*-commutative_binary64_2055`
134×	`unswap-sqr_binary64_2092`
113×	`exp-prod_binary64_2176`
97×	`distribute-rgt-neg-in_binary64_2082`
92×	`distribute-lft-neg-in_binary64_2081`
80×	`sqr-pow_binary64_2096`
60×	`distribute-rgt-out_binary64_2077`
59×	`sub-neg_binary64_2117`
50×	`associate-/r/_binary64_2070`
49×	`log-prod_binary64_2210`
45×	`+-commutative_binary64_2054`
44×	`exp-sum_binary64_2170`
36×	`neg-mul-1_binary64_2120` `neg-sub0_binary64_2119`
33×	`distribute-lft-out_binary64_2075`
27×	`distribute-lft-neg-out_binary64_2083`
26×	`distribute-rgt-neg-out_binary64_2084` `associate-/l*_binary64_2069` `associate-+l+_binary64_2057`
25×	`distribute-neg-in_binary64_2085`
24×	`associate-+r+_binary64_2056`
23×	`exp-to-pow_binary64_2186`
18×	`unpow1/3_binary64_2191` `swap-sqr_binary64_2091`
15×	`associate-/r*_binary64_2068`
14×	`cube-prod_binary64_2152`
13×	`unsub-neg_binary64_2118`
12×	`unpow3_binary64_2190` `pow-sqr_binary64_2097` `associate-l/_binary64_2067` `associate-r/_binary64_2066`
11×	`associate-/l/_binary64_2071`
10×	`pow-plus_binary64_2187`
9×	`log-pow_binary64_2213`
8×	`*-rgt-identity_binary64_2114` `associate--l+_binary64_2061`
7×	`unpow1/2_binary64_2188` `*-lft-identity_binary64_2113` `associate--l-_binary64_2062`
6×	`unpow2_binary64_2189` `unpow1_binary64_2182` `associate--r+_binary64_2060` `associate-+l-_binary64_2059`
5×	`cube-unmult_binary64_2161` `cube-mult_binary64_2154` `remove-double-neg_binary64_2112`
4×	`exp-diff_binary64_2172` `div-sub_binary64_2129` `difference-of-squares_binary64_2093`
3×	`rem-3cbrt-lft_binary64_2149`
2×	`log-div_binary64_2211` `exp-lft-sqr_binary64_2179` `rem-sqrt-square_binary64_2137` `cancel-sign-sub_binary64_2089` `distribute-neg-out_binary64_2086` `count-2_binary64_2072` `associate-+r-_binary64_2058`
1×	`log-rec_binary64_2212` `1-exp_binary64_2168` `exp-1-e_binary64_2167` `rem-3cbrt-rft_binary64_2150` `rem-square-sqrt_binary64_2136` `distribute-rgt1-in_binary64_2080` `distribute-rgt-out--_binary64_2078` `distribute-lft-out--_binary64_2076`
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` `pow-base-1_binary64_2184` `unpow0_binary64_2183` `unpow-1_binary64_2181` `exp-lft-cube_binary64_2180` `exp-cbrt_binary64_2178` `exp-sqrt_binary64_2177` `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` `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` `mul-1-neg_binary64_2116` `/-rgt-identity_binary64_2115` `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` `distribute-neg-frac_binary64_2088` `distribute-frac-neg_binary64_2087` `distribute-lft1-in_binary64_2079` `associate--r-_binary64_2063`

Counts

113 → 286

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	243	8210
1	598	7570
2	1837	6575
3	4862	6460
4	4951	6460

prune4.0s (15.3%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	284	2	286
Fresh	0	5	5
Picked	1	0	1
Done	0	2	2
Total	285	9	294

Error

0.0b

Counts

294 → 9

Compiler

Compiled 32192 to 25520 computations (20.7% saved)

regimes1.5s (5.6%)

Accuracy

Total 0.6b remaining (95.6%)

Threshold costs 0.6b (95.6%)

Compiler

Compiled 22986 to 19170 computations (16.6% saved)

bsearch0.0ms (0%)

simplify7.0ms (0%)

Algorithm

1×	egg-herbie

Rules

26×	`*-commutative_binary64_2055`
22×	`+-commutative_binary64_2054`
19×	`neg-mul-1_binary64_2120` `neg-sub0_binary64_2119` `sub-neg_binary64_2117`
11×	`distribute-rgt-neg-in_binary64_2082` `distribute-lft-neg-in_binary64_2081`
6×	`unsub-neg_binary64_2118` `distribute-neg-in_binary64_2085`
1×	`distribute-rgt-neg-out_binary64_2084` `distribute-lft-neg-out_binary64_2083`
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` `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`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	41
1	43	41
2	66	41
3	103	41
4	142	41
5	167	41
6	181	41
7	185	41
8	185	41

end0.0ms (0%)

sample7.1s (27.2%)

Algorithm

1×

intervals

Results

1.8s	4894×	body	1024	valid
425.0ms	1889×	body	1024	invalid
345.0ms	1663×	body	512	valid
231.0ms	429×	body	2048	valid
169.0ms	1034×	body	512	invalid
91.0ms	666×	body	256	valid
55.0ms	511×	body	256	invalid
40.0ms	666×	body	128	invalid
21.0ms	348×	body	128	valid
1.0ms	2×	body	2048	invalid

Compiler

Compiled 3904 to 3252 computations (16.7% saved)

Details

analyze346.0ms (1.3%)

sample126.0ms (0.5%)

simplify194.0ms (0.7%)

prune4.0ms (0%)

localize9.0ms (0%)

rewrite72.0ms (0.3%)

series206.0ms (0.8%)

simplify109.0ms (0.4%)

prune140.0ms (0.5%)

localize18.0ms (0.1%)

rewrite279.0ms (1.1%)

series466.0ms (1.8%)

simplify104.0ms (0.4%)

prune375.0ms (1.4%)

localize29.0ms (0.1%)

rewrite857.0ms (3.3%)

series745.0ms (2.8%)

simplify197.0ms (0.8%)

prune2.2s (8.5%)

localize35.0ms (0.1%)

rewrite580.0ms (2.2%)

series6.3s (23.9%)

simplify211.0ms (0.8%)

prune4.0s (15.3%)

regimes1.5s (5.6%)

bsearch0.0ms (0%)

simplify7.0ms (0%)

end0.0ms (0%)

sample7.1s (27.2%)

Profiling