Details

analyze6.6s (15.6%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
0%	99.8%	0.2%	9
0%	99.8%	0.2%	10
0%	99.8%	0.2%	11
0%	99.8%	0.2%	12
0.6%	99.2%	0.2%	13
1.8%	98%	0.2%	14

Compiler

Compiled 66 to 47 computations (28.8% saved)

sample432.0ms (1%)

Algorithm

1×

intervals

Results

283.0ms	163×	body	1024	valid
56.0ms	46×	body	512	valid
50.0ms	15×	body	2048	valid
10.0ms	14×	body	256	valid
6.0ms	18×	body	128	valid

Compiler

Compiled 131 to 98 computations (25.2% saved)

simplify313.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

588×	`div-sub_binary64_2129`
449×	`distribute-rgt-neg-in_binary64_2082`
435×	`associate-/l/_binary64_2071`
396×	`unswap-sqr_binary64_2092`
322×	`distribute-lft-neg-in_binary64_2081`
294×	`cancel-sign-sub-inv_binary64_2090`
182×	`sub-neg_binary64_2117`
173×	`associate-l_binary64_2065`
164×	`distribute-frac-neg_binary64_2087`
153×	`neg-mul-1_binary64_2120`
152×	`times-frac_binary64_2130`
144×	`neg-sub0_binary64_2119`
141×	`distribute-neg-frac_binary64_2088`
136×	`*-commutative_binary64_2055`
107×	`associate-r_binary64_2064`
96×	`associate-/r/_binary64_2070`
77×	`associate-/r*_binary64_2068`
76×	`cube-prod_binary64_2152`
75×	`distribute-neg-in_binary64_2085`
73×	`distribute-rgt-out_binary64_2077`
72×	`cube-div_binary64_2153`
71×	`distribute-lft-neg-out_binary64_2083`
68×	`associate--r+_binary64_2060`
64×	`distribute-rgt-neg-out_binary64_2084` `associate-+l-_binary64_2059`
59×	`exp-prod_binary64_2176` `swap-sqr_binary64_2091`
57×	`distribute-rgt-out--_binary64_2078`
53×	`associate-*l/_binary64_2067`
50×	`associate-/l*_binary64_2069`
49×	`distribute-rgt1-in_binary64_2080`
45×	`unsub-neg_binary64_2118`
42×	`+-commutative_binary64_2054`
41×	`remove-double-neg_binary64_2112` `difference-of-squares_binary64_2093`
39×	`*-rgt-identity_binary64_2114` `sqr-pow_binary64_2096`
37×	`distribute-rgt-in_binary64_2074`
35×	`distribute-lft-in_binary64_2073`
34×	`associate-*r/_binary64_2066`
28×	`associate--l-_binary64_2062`
24×	`associate-+r+_binary64_2056`
23×	`pow-sqr_binary64_2097`
22×	`*-lft-identity_binary64_2113` `mul0-lft_binary64_2106`
21×	`mul0-rgt_binary64_2107`
19×	`pow-plus_binary64_2187` `associate--l+_binary64_2061`
17×	`+-rgt-identity_binary64_2109` `associate--r-_binary64_2063`
15×	`sub0-neg_binary64_2111` `remove-double-div_binary64_2100` `associate-+r-_binary64_2058`
13×	`distribute-lft1-in_binary64_2079`
12×	`sqr-neg_binary64_2138` `associate-+l+_binary64_2057`
11×	`cube-unmult_binary64_2161`
10×	`exp-neg_binary64_2171` `/-rgt-identity_binary64_2115`
9×	`div-exp_binary64_2175` `prod-exp_binary64_2173` `div0_binary64_2105` `difference-of-sqr--1_binary64_2095`
6×	`--rgt-identity_binary64_2110` `distribute-lft-out_binary64_2075`
5×	`unpow3_binary64_2190` `difference-of-sqr-1_binary64_2094`
4×	`sin-neg_binary64_2254` `cube-mult_binary64_2154` `+-lft-identity_binary64_2108`
3×	`cos-neg_binary64_2255` `rec-exp_binary64_2174`
2×	`exp-lft-sqr_binary64_2179` `exp-sqrt_binary64_2177` `exp-sum_binary64_2170` `rem-sqrt-square_binary64_2137` `+-inverses_binary64_2103` `cancel-sign-sub_binary64_2089` `distribute-neg-out_binary64_2086` `count-2_binary64_2072`
1×	`sub-1-sin_binary64_2224` `1-sub-sin_binary64_2220` `unpow2_binary64_2189` `pow-base-1_binary64_2184` `unpow1_binary64_2182` `1-exp_binary64_2168` `*-inverses_binary64_2104` `rgt-mult-inverse_binary64_2101` `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` `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-cos_binary64_2223` `-1-add-sin_binary64_2222` `-1-add-cos_binary64_2221` `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` `unpow0_binary64_2183` `unpow-1_binary64_2181` `exp-lft-cube_binary64_2180` `exp-cbrt_binary64_2178` `exp-diff_binary64_2172` `e-exp-1_binary64_2169` `exp-1-e_binary64_2167` `exp-0_binary64_2166` `rem-log-exp_binary64_2165` `rem-exp-log_binary64_2164` `cube-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` `rem-square-sqrt_binary64_2136` `mul-1-neg_binary64_2116` `lft-mult-inverse_binary64_2102`

Counts

1 → 7

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	103
1	59	103
2	123	103
3	237	103
4	580	103
5	1426	103
6	2728	103

prune43.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	4	3	7
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	5	3	8

Error

22.5b

Counts

8 → 3

Compiler

Compiled 650 to 415 computations (36.2% saved)

localize33.0ms (0.1%)

Local error

Found 4 expressions with local error:

3.1b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
3.1b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
3.1b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
3.1b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

rewrite152.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Error

22.2b

Rules

4×	`div-sub_binary64_2129` `sin-diff_binary64_2260` `pow1_binary64_2185` `add-log-exp_binary64_2163` `add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160` `add-cube-cbrt_binary64_2159` `add-sqr-sqrt_binary64_2146` `*-un-lft-identity_binary64_2124`

Counts

4 → 32

Calls

4 calls:

8.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
5.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
5.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
5.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

Compiler

Compiled 2328 to 1346 computations (42.2% saved)

series634.0ms (1.5%)

Error

21.9b

Counts

4 → 44

Calls

4 calls:

123.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
117.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
117.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
111.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

Compiler

Compiled 7736 to 5215 computations (32.6% saved)

simplify233.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

573×	`cancel-sign-sub-inv_binary64_2090`
545×	`associate-l_binary64_2065`
465×	`associate-r_binary64_2064`
387×	`distribute-rgt-in_binary64_2074`
326×	`times-frac_binary64_2130`
240×	`sub-neg_binary64_2117`
221×	`distribute-rgt-out--_binary64_2078`
209×	`distribute-rgt-out_binary64_2077`
182×	`distribute-lft-out--_binary64_2076`
157×	`distribute-lft-out_binary64_2075`
155×	`distribute-rgt-neg-in_binary64_2082`
140×	`distribute-neg-in_binary64_2085`
134×	`distribute-lft-neg-out_binary64_2083`
132×	`distribute-lft-neg-in_binary64_2081`
127×	`neg-sub0_binary64_2119`
126×	`neg-mul-1_binary64_2120`
106×	`*-commutative_binary64_2055`
93×	`distribute-rgt-neg-out_binary64_2084`
82×	`unswap-sqr_binary64_2092`
74×	`associate-+l-_binary64_2059`
68×	`unsub-neg_binary64_2118`
52×	`+-commutative_binary64_2054`
45×	`sqr-pow_binary64_2096`
43×	`associate--l+_binary64_2061`
41×	`associate-+r-_binary64_2058`
38×	`associate-+l+_binary64_2057`
35×	`sub0-neg_binary64_2111` `associate-+r+_binary64_2056`
30×	`remove-double-neg_binary64_2112`
29×	`pow-sqr_binary64_2097`
28×	`div-sub_binary64_2129`
24×	`+-rgt-identity_binary64_2109`
23×	`distribute-lft-in_binary64_2073` `associate--r+_binary64_2060`
22×	`pow-plus_binary64_2187`
18×	`mul0-rgt_binary64_2107` `mul0-lft_binary64_2106` `associate-/r*_binary64_2068`
13×	`associate-/r/_binary64_2070`
11×	`cube-unmult_binary64_2161`
10×	`associate-/l*_binary64_2069`
9×	`associate-/l/_binary64_2071`
8×	`/-rgt-identity_binary64_2115` `associate--l-_binary64_2062`
6×	`cube-prod_binary64_2152` `cancel-sign-sub_binary64_2089` `distribute-neg-out_binary64_2086` `associate-*l/_binary64_2067`
5×	`--rgt-identity_binary64_2110` `distribute-rgt1-in_binary64_2080` `associate--r-_binary64_2063`
4×	`difference-of-squares_binary64_2093` `distribute-frac-neg_binary64_2087` `associate-*r/_binary64_2066`
2×	`unpow3_binary64_2190` `unpow2_binary64_2189` `unpow1_binary64_2182` `cube-mult_binary64_2154` `swap-sqr_binary64_2091` `distribute-neg-frac_binary64_2088`
1×	`div-exp_binary64_2175` `rec-exp_binary64_2174` `prod-exp_binary64_2173` `1-exp_binary64_2168` `-rgt-identity_binary64_2114` `-lft-identity_binary64_2113` `div0_binary64_2105` `*-inverses_binary64_2104` `rgt-mult-inverse_binary64_2101` `distribute-lft1-in_binary64_2079` `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` `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-lft-sqr_binary64_2179` `exp-cbrt_binary64_2178` `exp-sqrt_binary64_2177` `exp-prod_binary64_2176` `exp-diff_binary64_2172` `exp-neg_binary64_2171` `exp-sum_binary64_2170` `e-exp-1_binary64_2169` `exp-1-e_binary64_2167` `exp-0_binary64_2166` `rem-log-exp_binary64_2165` `rem-exp-log_binary64_2164` `cube-div_binary64_2153` `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` `mul-1-neg_binary64_2116` `+-lft-identity_binary64_2108` `+-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`

Counts

76 → 74

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	63	1416
1	143	1340
2	385	1278
3	916	1272
4	3012	1260

prune398.0ms (0.9%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	65	9	74
Fresh	0	2	2
Picked	1	0	1
Done	0	0	0
Total	66	11	77

Error

22.1b

Counts

77 → 11

Compiler

Compiled 6872 to 4269 computations (37.9% saved)

localize42.0ms (0.1%)

Local error

Found 4 expressions with local error:

3.1b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
3.1b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
3.1b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
7.7b	(cbrt.f64 (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))

rewrite202.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

22.0b

Rules

4×	`pow1_binary64_2185` `add-log-exp_binary64_2163` `add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160` `add-cube-cbrt_binary64_2159` `add-sqr-sqrt_binary64_2146` `*-un-lft-identity_binary64_2124`
3×	`div-sub_binary64_2129` `sin-diff_binary64_2260`
1×	`pow1/3_binary64_2206` `sin-mult_binary64_2279` `associate-*r/_binary64_2066` `cbrt-div_binary64_2156` `cbrt-prod_binary64_2155` `cube-unmult_binary64_2161` `rem-cbrt-cube_binary64_2148`

Counts

4 → 35

Calls

4 calls:

16.0ms	(cbrt.f64 (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))
5.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
5.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
5.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

Compiler

Compiled 3112 to 1804 computations (42% saved)

series669.0ms (1.6%)

Error

21.9b

Counts

4 → 40

Calls

4 calls:

128.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
126.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
125.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
124.0ms	(cbrt.f64 (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))

Compiler

Compiled 8530 to 5673 computations (33.5% saved)

simplify211.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

704×	`sub-neg_binary64_2117`
263×	`div-sub_binary64_2129` `associate-l_binary64_2065`
245×	`associate--l+_binary64_2061`
225×	`associate-r_binary64_2064`
210×	`unsub-neg_binary64_2118`
196×	`associate--l-_binary64_2062`
186×	`cancel-sign-sub-inv_binary64_2090`
182×	`associate-+l+_binary64_2057`
173×	`associate-+l-_binary64_2059`
123×	`exp-sum_binary64_2170`
122×	`associate-+r+_binary64_2056`
109×	`neg-sub0_binary64_2119` `associate-+r-_binary64_2058`
106×	`neg-mul-1_binary64_2120`
98×	`distribute-rgt-in_binary64_2074`
94×	`distribute-lft-in_binary64_2073`
91×	`exp-diff_binary64_2172`
82×	`distribute-rgt-neg-in_binary64_2082`
80×	`*-commutative_binary64_2055`
79×	`+-commutative_binary64_2054`
74×	`distribute-lft-neg-in_binary64_2081`
52×	`exp-prod_binary64_2176`
40×	`associate--r+_binary64_2060`
33×	`associate-*l/_binary64_2067`
30×	`associate-*r/_binary64_2066`
25×	`times-frac_binary64_2130`
24×	`distribute-lft-neg-out_binary64_2083`
21×	`exp-sqrt_binary64_2177` `associate-/r*_binary64_2068` `associate--r-_binary64_2063`
20×	`log-div_binary64_2211` `log-prod_binary64_2210`
19×	`cube-div_binary64_2153` `cube-prod_binary64_2152` `distribute-neg-in_binary64_2085`
16×	`associate-/l*_binary64_2069`
14×	`associate-/r/_binary64_2070`
12×	`pow-plus_binary64_2187` `sqr-pow_binary64_2096`
11×	`distribute-rgt-neg-out_binary64_2084`
10×	`distribute-rgt-out--_binary64_2078`
9×	`exp-lft-sqr_binary64_2179` `+-rgt-identity_binary64_2109` `distribute-rgt-out_binary64_2077`
8×	`cube-unmult_binary64_2161` `pow-sqr_binary64_2097` `associate-/l/_binary64_2071`
7×	`sub0-neg_binary64_2111`
6×	`distribute-lft-out--_binary64_2076`
4×	`sin-neg_binary64_2254` `unswap-sqr_binary64_2092` `swap-sqr_binary64_2091` `distribute-rgt1-in_binary64_2080` `distribute-lft-out_binary64_2075`
3×	`unpow3_binary64_2190` `remove-double-neg_binary64_2112` `distribute-neg-frac_binary64_2088`
2×	`unpow2_binary64_2189` `unpow1_binary64_2182` `*-rgt-identity_binary64_2114` `difference-of-squares_binary64_2093`
1×	`cos-neg_binary64_2255` `cos-0_binary64_2252` `-1-add-cos_binary64_2221` `log-pow_binary64_2213` `log-rec_binary64_2212` `1-exp_binary64_2168` `exp-1-e_binary64_2167` `rem-log-exp_binary64_2165` `cube-mult_binary64_2154` `rem-3cbrt-lft_binary64_2149` `rem-cbrt-cube_binary64_2148` `sqr-neg_binary64_2138` `-lft-identity_binary64_2113` `--rgt-identity_binary64_2110` `-inverses_binary64_2104` `+-inverses_binary64_2103` `rgt-mult-inverse_binary64_2101` `cancel-sign-sub_binary64_2089` `distribute-neg-out_binary64_2086` `distribute-lft1-in_binary64_2079` `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` `tan-0_binary64_2253` `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-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` `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` `rec-exp_binary64_2174` `prod-exp_binary64_2173` `exp-neg_binary64_2171` `e-exp-1_binary64_2169` `exp-0_binary64_2166` `rem-exp-log_binary64_2164` `cube-neg_binary64_2151` `rem-3cbrt-rft_binary64_2150` `rem-cube-cbrt_binary64_2147` `sqr-abs_binary64_2139` `rem-sqrt-square_binary64_2137` `rem-square-sqrt_binary64_2136` `mul-1-neg_binary64_2116` `/-rgt-identity_binary64_2115` `+-lft-identity_binary64_2108` `mul0-rgt_binary64_2107` `mul0-lft_binary64_2106` `div0_binary64_2105` `lft-mult-inverse_binary64_2102` `remove-double-div_binary64_2100` `difference-of-sqr--1_binary64_2095` `difference-of-sqr-1_binary64_2094` `distribute-frac-neg_binary64_2087`

Counts

75 → 104

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	69	1307
1	129	1160
2	284	1136
3	724	1133
4	3842	1125

prune647.0ms (1.5%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	97	7	104
Fresh	0	10	10
Picked	1	0	1
Done	0	0	0
Total	98	17	115

Error

22.0b

Counts

115 → 17

Compiler

Compiled 10680 to 6554 computations (38.6% saved)

localize43.0ms (0.1%)

Local error

Found 4 expressions with local error:

3.1b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
3.1b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
3.9b	(cbrt.f64 (*.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))
7.7b	(cbrt.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) 3))

rewrite286.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

21.9b

Rules

13×	`cbrt-prod_binary64_2155`
7×	`add-cube-cbrt_binary64_2159` `add-sqr-sqrt_binary64_2146` `*-un-lft-identity_binary64_2124`
4×	`pow1_binary64_2185` `add-log-exp_binary64_2163` `add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`
3×	`unpow-prod-down_binary64_2203` `cube-prod_binary64_2152`
2×	`pow1/3_binary64_2206` `div-sub_binary64_2129` `sin-diff_binary64_2260`
1×	`unpow3_binary64_2190` `cube-mult_binary64_2154` `sqr-pow_binary64_2096` `rem-cbrt-cube_binary64_2148` `sin-mult_binary64_2279` `cbrt-div_binary64_2156`

Counts

4 → 47

Calls

4 calls:

9.0ms	(cbrt.f64 (*.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))
8.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
6.0ms	(cbrt.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) 3))
5.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

Compiler

Compiled 4391 to 2631 computations (40.1% saved)

series965.0ms (2.3%)

Error

21.8b

Counts

4 → 36

Calls

4 calls:

382.0ms	(cbrt.f64 (*.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))
145.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
142.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
133.0ms	(cbrt.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) 3))

Compiler

Compiled 8388 to 5683 computations (32.2% saved)

simplify239.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

247×	`associate--l+_binary64_2061`
246×	`unswap-sqr_binary64_2092`
209×	`associate-+l+_binary64_2057`
201×	`cancel-sign-sub-inv_binary64_2090`
194×	`associate--l-_binary64_2062`
188×	`associate-+l-_binary64_2059`
133×	`sub-neg_binary64_2117`
129×	`associate-l_binary64_2065`
128×	`associate-+r+_binary64_2056`
120×	`times-frac_binary64_2130` `associate-r_binary64_2064`
112×	`sqr-pow_binary64_2096`
107×	`associate-+r-_binary64_2058`
102×	`distribute-rgt-in_binary64_2074`
95×	`distribute-lft-in_binary64_2073`
83×	`distribute-rgt-neg-in_binary64_2082`
82×	`pow-sqr_binary64_2097`
75×	`distribute-lft-neg-in_binary64_2081`
72×	`associate-*l/_binary64_2067`
67×	`associate-/r*_binary64_2068`
55×	`associate-*r/_binary64_2066`
54×	`associate-/r/_binary64_2070`
51×	`*-commutative_binary64_2055`
50×	`associate--r+_binary64_2060`
49×	`pow-plus_binary64_2187`
46×	`associate-/l*_binary64_2069`
40×	`neg-sub0_binary64_2119`
37×	`neg-mul-1_binary64_2120` `associate-/l/_binary64_2071`
35×	`exp-sum_binary64_2170`
28×	`exp-diff_binary64_2172` `associate--r-_binary64_2063`
23×	`distribute-lft-neg-out_binary64_2083`
18×	`cube-unmult_binary64_2161` `distribute-neg-in_binary64_2085`
17×	`cube-prod_binary64_2152` `+-commutative_binary64_2054`
15×	`exp-prod_binary64_2176`
12×	`cube-div_binary64_2153` `distribute-rgt-out_binary64_2077`
11×	`swap-sqr_binary64_2091` `distribute-rgt-out--_binary64_2078`
10×	`unpow3_binary64_2190` `rem-sqrt-square_binary64_2137` `div-sub_binary64_2129` `unsub-neg_binary64_2118` `distribute-rgt-neg-out_binary64_2084`
9×	`log-prod_binary64_2210` `prod-exp_binary64_2173` `+-rgt-identity_binary64_2109`
7×	`cube-mult_binary64_2154` `sub0-neg_binary64_2111`
6×	`unpow2_binary64_2189` `unpow1_binary64_2182` `distribute-rgt1-in_binary64_2080` `distribute-lft-out--_binary64_2076` `distribute-lft-out_binary64_2075` `count-2_binary64_2072`
5×	`log-pow_binary64_2213` `pow-base-1_binary64_2184` `exp-sqrt_binary64_2177` `rem-cbrt-cube_binary64_2148`
4×	`unpow1/3_binary64_2191`
3×	`rem-square-sqrt_binary64_2136` `remove-double-neg_binary64_2112` `--rgt-identity_binary64_2110` `+-lft-identity_binary64_2108` `distribute-neg-frac_binary64_2088`
2×	`rem-3cbrt-lft_binary64_2149` `*-rgt-identity_binary64_2114` `difference-of-squares_binary64_2093`
1×	`cos-0_binary64_2252` `1-exp_binary64_2168` `rem-cube-cbrt_binary64_2147` `-lft-identity_binary64_2113` `-inverses_binary64_2104` `+-inverses_binary64_2103` `cancel-sign-sub_binary64_2089` `distribute-neg-out_binary64_2086` `distribute-lft1-in_binary64_2079`
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` `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` `unpow1/2_binary64_2188` `exp-to-pow_binary64_2186` `unpow0_binary64_2183` `unpow-1_binary64_2181` `exp-lft-cube_binary64_2180` `exp-lft-sqr_binary64_2179` `exp-cbrt_binary64_2178` `div-exp_binary64_2175` `rec-exp_binary64_2174` `exp-neg_binary64_2171` `e-exp-1_binary64_2169` `exp-1-e_binary64_2167` `exp-0_binary64_2166` `rem-log-exp_binary64_2165` `rem-exp-log_binary64_2164` `cube-neg_binary64_2151` `rem-3cbrt-rft_binary64_2150` `sqr-abs_binary64_2139` `sqr-neg_binary64_2138` `mul-1-neg_binary64_2116` `/-rgt-identity_binary64_2115` `mul0-rgt_binary64_2107` `mul0-lft_binary64_2106` `div0_binary64_2105` `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-frac-neg_binary64_2087`

Counts

83 → 105

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	101	1426
1	198	1360
2	468	1337
3	1283	1334

prune719.0ms (1.7%)

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	100	5	105
Fresh	2	14	16
Picked	1	0	1
Done	0	0	0
Total	103	19	122

Error

21.9b

Counts

122 → 19

Compiler

Compiled 11288 to 7006 computations (37.9% saved)

localize40.0ms (0.1%)

Local error

Found 4 expressions with local error:

3.1b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
3.1b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
3.1b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
3.1b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

rewrite149.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Error

21.8b

Rules

4×	`div-sub_binary64_2129` `sin-diff_binary64_2260` `pow1_binary64_2185` `add-log-exp_binary64_2163` `add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160` `add-cube-cbrt_binary64_2159` `add-sqr-sqrt_binary64_2146` `*-un-lft-identity_binary64_2124`

Counts

4 → 32

Calls

4 calls:

5.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
5.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
5.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
5.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

Compiler

Compiled 2392 to 1410 computations (41.1% saved)

series679.0ms (1.6%)

Error

21.8b

Counts

4 → 44

Calls

4 calls:

132.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
127.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
127.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
126.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

Compiler

Compiled 7952 to 5431 computations (31.7% saved)

simplify242.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

573×	`cancel-sign-sub-inv_binary64_2090`
545×	`associate-l_binary64_2065`
465×	`associate-r_binary64_2064`
387×	`distribute-rgt-in_binary64_2074`
326×	`times-frac_binary64_2130`
240×	`sub-neg_binary64_2117`
221×	`distribute-rgt-out--_binary64_2078`
209×	`distribute-rgt-out_binary64_2077`
182×	`distribute-lft-out--_binary64_2076`
157×	`distribute-lft-out_binary64_2075`
155×	`distribute-rgt-neg-in_binary64_2082`
140×	`distribute-neg-in_binary64_2085`
134×	`distribute-lft-neg-out_binary64_2083`
132×	`distribute-lft-neg-in_binary64_2081`
127×	`neg-sub0_binary64_2119`
126×	`neg-mul-1_binary64_2120`
106×	`*-commutative_binary64_2055`
93×	`distribute-rgt-neg-out_binary64_2084`
82×	`unswap-sqr_binary64_2092`
74×	`associate-+l-_binary64_2059`
68×	`unsub-neg_binary64_2118`
52×	`+-commutative_binary64_2054`
45×	`sqr-pow_binary64_2096`
43×	`associate--l+_binary64_2061`
41×	`associate-+r-_binary64_2058`
38×	`associate-+l+_binary64_2057`
35×	`sub0-neg_binary64_2111` `associate-+r+_binary64_2056`
30×	`remove-double-neg_binary64_2112`
29×	`pow-sqr_binary64_2097`
28×	`div-sub_binary64_2129`
24×	`+-rgt-identity_binary64_2109`
23×	`distribute-lft-in_binary64_2073` `associate--r+_binary64_2060`
22×	`pow-plus_binary64_2187`
18×	`mul0-rgt_binary64_2107` `mul0-lft_binary64_2106` `associate-/r*_binary64_2068`
13×	`associate-/r/_binary64_2070`
11×	`cube-unmult_binary64_2161`
10×	`associate-/l*_binary64_2069`
9×	`associate-/l/_binary64_2071`
8×	`/-rgt-identity_binary64_2115` `associate--l-_binary64_2062`
6×	`cube-prod_binary64_2152` `cancel-sign-sub_binary64_2089` `distribute-neg-out_binary64_2086` `associate-*l/_binary64_2067`
5×	`--rgt-identity_binary64_2110` `distribute-rgt1-in_binary64_2080` `associate--r-_binary64_2063`
4×	`difference-of-squares_binary64_2093` `distribute-frac-neg_binary64_2087` `associate-*r/_binary64_2066`
2×	`unpow3_binary64_2190` `unpow2_binary64_2189` `unpow1_binary64_2182` `cube-mult_binary64_2154` `swap-sqr_binary64_2091` `distribute-neg-frac_binary64_2088`
1×	`div-exp_binary64_2175` `rec-exp_binary64_2174` `prod-exp_binary64_2173` `1-exp_binary64_2168` `-rgt-identity_binary64_2114` `-lft-identity_binary64_2113` `div0_binary64_2105` `*-inverses_binary64_2104` `rgt-mult-inverse_binary64_2101` `distribute-lft1-in_binary64_2079` `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` `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-lft-sqr_binary64_2179` `exp-cbrt_binary64_2178` `exp-sqrt_binary64_2177` `exp-prod_binary64_2176` `exp-diff_binary64_2172` `exp-neg_binary64_2171` `exp-sum_binary64_2170` `e-exp-1_binary64_2169` `exp-1-e_binary64_2167` `exp-0_binary64_2166` `rem-log-exp_binary64_2165` `rem-exp-log_binary64_2164` `cube-div_binary64_2153` `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` `mul-1-neg_binary64_2116` `+-lft-identity_binary64_2108` `+-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`

Counts

76 → 74

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	63	1416
1	143	1340
2	385	1278
3	916	1272
4	3012	1260

prune343.0ms (0.8%)

Pruning

19 alts after pruning (18 fresh and 1 done)

	Pruned	Kept	Total
New	74	0	74
Fresh	0	18	18
Picked	0	1	1
Done	0	0	0
Total	74	19	93

Error

21.9b

Counts

93 → 19

Compiler

Compiled 6172 to 3802 computations (38.4% saved)

regimes7.1s (16.8%)

Accuracy

Total 1.1b remaining (4.4%)

Threshold costs 0b (0%)

Compiler

Compiled 107152 to 76924 computations (28.2% saved)

bsearch0.0ms (0%)

simplify13.0ms (0%)

Algorithm

1×	egg-herbie

Rules

18×	`*-commutative_binary64_2055`
15×	`+-commutative_binary64_2054`
14×	`sub-neg_binary64_2117`
10×	`neg-mul-1_binary64_2120` `neg-sub0_binary64_2119`
6×	`distribute-rgt-neg-in_binary64_2082`
5×	`distribute-lft-neg-in_binary64_2081`
2×	`cancel-sign-sub-inv_binary64_2090`
1×	`1-exp_binary64_2168` `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` `exp-1-e_binary64_2167` `exp-0_binary64_2166` `sqr-abs_binary64_2139` `sqr-neg_binary64_2138` `unsub-neg_binary64_2118` `mul-1-neg_binary64_2116` `/-rgt-identity_binary64_2115` `-rgt-identity_binary64_2114` `-lft-identity_binary64_2113` `remove-double-neg_binary64_2112` `sub0-neg_binary64_2111` `--rgt-identity_binary64_2110` `+-rgt-identity_binary64_2109` `+-lft-identity_binary64_2108` `cancel-sign-sub_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`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	199
1	57	199
2	81	199
3	103	199
4	118	199
5	125	199
6	127	199

Proof

(* f64 h0 (* f64 2 (atan2 f64 (sqrt f64 (+ f64 (pow f64 (sin f64 (/ f64 (- f64 h1 h2) 2)) 2) (* f64 (* f64 (cos f64 h1) (cos f64 h2)) (* f64 (sin f64 (/ f64 (- f64 h3 h4) 2)) (sin f64 (/ f64 (- f64 h3 h4) 2)))))) (sqrt f64 (- f64 (- f64 1 (pow f64 (sin f64 (/ f64 (- f64 h1 h2) 2)) 2)) (* f64 (* f64 (cos f64 h1) (cos f64 h2)) (* f64 (sin f64 (/ f64 (- f64 h3 h4) 2)) (cbrt f64 (=> (* f64 (* f64 (cbrt f64 (* f64 (sin f64 (/ f64 (- f64 h3 h4) 2)) (* f64 (sin f64 (/ f64 (- f64 h3 h4) 2)) (sin f64 (/ f64 (- f64 h3 h4) 2))))) (cbrt f64 (* f64 (sin f64 (/ f64 (- f64 h3 h4) 2)) (* f64 (sin f64 (/ f64 (- f64 h3 h4) 2)) (sin f64 (/ f64 (- f64 h3 h4) 2)))))) (cbrt f64 (* f64 (sin f64 (/ f64 (- f64 h3 h4) 2)) (* f64 (sin f64 (/ f64 (- f64 h3 h4) 2)) (sin f64 (/ f64 (- f64 h3 h4) 2)))))))))))))))
*-commutative_binary64_2055 =>
(* f64 h0 (* f64 2 (atan2 f64 (sqrt f64 (+ f64 (pow f64 (sin f64 (/ f64 (- f64 h1 h2) 2)) 2) (* f64 (* f64 (cos f64 h1) (cos f64 h2)) (* f64 (sin f64 (/ f64 (- f64 h3 h4) 2)) (sin f64 (/ f64 (- f64 h3 h4) 2)))))) (sqrt f64 (- f64 (- f64 1 (pow f64 (sin f64 (/ f64 (- f64 h1 h2) 2)) 2)) (* f64 (* f64 (cos f64 h1) (cos f64 h2)) (* f64 (sin f64 (/ f64 (- f64 h3 h4) 2)) (cbrt f64 (* f64 (cbrt f64 (* f64 (sin f64 (/ f64 (- f64 h3 h4) 2)) (* f64 (sin f64 (/ f64 (- f64 h3 h4) 2)) (sin f64 (/ f64 (- f64 h3 h4) 2))))) (* f64 (cbrt f64 (* f64 (sin f64 (/ f64 (- f64 h3 h4) 2)) (* f64 (sin f64 (/ f64 (- f64 h3 h4) 2)) (sin f64 (/ f64 (- f64 h3 h4) 2))))) (cbrt f64 (* f64 (sin f64 (/ f64 (- f64 h3 h4) 2)) (* f64 (sin f64 (/ f64 (- f64 h3 h4) 2)) (sin f64 (/ f64 (- f64 h3 h4) 2)))))))))))))))

end0.0ms (0%)

sample20.7s (49.2%)

Algorithm

1×

intervals

Results

9.6s	5292×	body	1024	valid
1.5s	1249×	body	512	valid
1.3s	429×	body	2048	valid
302.0ms	417×	body	256	valid
191.0ms	613×	body	128	valid
2.0ms	1×	body	1024	invalid
1.0ms	1×	body	512	invalid

Compiler

Compiled 9081 to 6510 computations (28.3% saved)

Details

analyze6.6s (15.6%)

sample432.0ms (1%)

simplify313.0ms (0.7%)

prune43.0ms (0.1%)

localize33.0ms (0.1%)

rewrite152.0ms (0.4%)

series634.0ms (1.5%)

simplify233.0ms (0.6%)

prune398.0ms (0.9%)

localize42.0ms (0.1%)

rewrite202.0ms (0.5%)

series669.0ms (1.6%)

simplify211.0ms (0.5%)

prune647.0ms (1.5%)

localize43.0ms (0.1%)

rewrite286.0ms (0.7%)

series965.0ms (2.3%)

simplify239.0ms (0.6%)

prune719.0ms (1.7%)

localize40.0ms (0.1%)

rewrite149.0ms (0.4%)

series679.0ms (1.6%)

simplify242.0ms (0.6%)

prune343.0ms (0.8%)

regimes7.1s (16.8%)

bsearch0.0ms (0%)

simplify13.0ms (0%)

end0.0ms (0%)

sample20.7s (49.2%)

Profiling