Details

Time bar (total: 712.0ms)

analyze208.0ms (29.2%)

Algorithm
search
egg-herbie
Rules
associate-*r*_binary64_18 *-commutative_binary64_9
count-2_binary64_26
distribute-rgt-out_binary64_31 associate-*l*_binary64_19 +-commutative_binary64_8
swap-re-im
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_341 erf-erfc_binary64_340 erf-odd_binary64_339 if-if-and-not_binary64_338 if-if-and_binary64_337 if-if-or-not_binary64_336 if-if-or_binary64_335 if-not_binary64_334 if-same_binary64_333 if-false_binary64_332 if-true_binary64_331 not-gte_binary64_330 not-lte_binary64_329 not-gt_binary64_328 not-lt_binary64_327 gte-same_binary64_326 lte-same_binary64_325 gt-same_binary64_324 lt-same_binary64_323 sinh---cosh_binary64_270 sinh-+-cosh_binary64_269 sinh-cosh_binary64_268 tanh-def-c_binary64_267 tanh-def-b_binary64_266 tanh-def-a_binary64_265 cosh-def_binary64_264 sinh-def_binary64_263 tan-neg_binary64_210 cos-neg_binary64_209 sin-neg_binary64_208 tan-0_binary64_207 cos-0_binary64_206 sin-0_binary64_205 hang-m-tan_binary64_204 hang-p-tan_binary64_203 hang-m0-tan_binary64_202 hang-p0-tan_binary64_201 hang-0m-tan_binary64_200 hang-0p-tan_binary64_199 tan-+PI/2_binary64_198 tan-+PI_binary64_197 tan-PI_binary64_196 tan-PI/3_binary64_195 tan-PI/4_binary64_194 tan-PI/6_binary64_193 cos-+PI/2_binary64_192 cos-+PI_binary64_191 cos-PI_binary64_190 cos-PI/2_binary64_189 cos-PI/3_binary64_188 cos-PI/4_binary64_187 cos-PI/6_binary64_186 sin-+PI/2_binary64_185 sin-+PI_binary64_184 sin-PI_binary64_183 sin-PI/2_binary64_182 sin-PI/3_binary64_181 sin-PI/4_binary64_180 sin-PI/6_binary64_179 sub-1-sin_binary64_178 sub-1-cos_binary64_177 -1-add-sin_binary64_176 -1-add-cos_binary64_175 1-sub-sin_binary64_174 1-sub-cos_binary64_173 cos-sin-sum_binary64_172 log-E_binary64_168 log-pow_binary64_167 log-rec_binary64_166 log-div_binary64_165 log-prod_binary64_164 pow-base-0_binary64_162 unpow1/3_binary64_145 unpow3_binary64_144 unpow2_binary64_143 unpow1/2_binary64_142 pow-plus_binary64_141 exp-to-pow_binary64_140 pow-base-1_binary64_138 unpow0_binary64_137 unpow1_binary64_136 unpow-1_binary64_135 exp-lft-cube_binary64_134 exp-lft-sqr_binary64_133 exp-cbrt_binary64_132 exp-sqrt_binary64_131 exp-prod_binary64_130 div-exp_binary64_129 rec-exp_binary64_128 prod-exp_binary64_127 exp-diff_binary64_126 exp-neg_binary64_125 exp-sum_binary64_124 e-exp-1_binary64_123 1-exp_binary64_122 exp-1-e_binary64_121 exp-0_binary64_120 rem-log-exp_binary64_119 rem-exp-log_binary64_118 cube-unmult_binary64_115 cube-mult_binary64_108 cube-div_binary64_107 cube-prod_binary64_106 cube-neg_binary64_105 rem-3cbrt-rft_binary64_104 rem-3cbrt-lft_binary64_103 rem-cbrt-cube_binary64_102 rem-cube-cbrt_binary64_101 sqr-abs_binary64_93 sqr-neg_binary64_92 rem-sqrt-square_binary64_91 rem-square-sqrt_binary64_90 times-frac_binary64_84 div-sub_binary64_83 neg-mul-1_binary64_74 neg-sub0_binary64_73 unsub-neg_binary64_72 sub-neg_binary64_71 mul-1-neg_binary64_70 /-rgt-identity_binary64_69 *-rgt-identity_binary64_68 *-lft-identity_binary64_67 remove-double-neg_binary64_66 sub0-neg_binary64_65 --rgt-identity_binary64_64 +-rgt-identity_binary64_63 +-lft-identity_binary64_62 mul0-rgt_binary64_61 mul0-lft_binary64_60 div0_binary64_59 *-inverses_binary64_58 +-inverses_binary64_57 lft-mult-inverse_binary64_56 rgt-mult-inverse_binary64_55 remove-double-div_binary64_54 pow-sqr_binary64_51 sqr-pow_binary64_50 difference-of-sqr--1_binary64_49 difference-of-sqr-1_binary64_48 difference-of-squares_binary64_47 unswap-sqr_binary64_46 swap-sqr_binary64_45 cancel-sign-sub-inv_binary64_44 cancel-sign-sub_binary64_43 distribute-neg-frac_binary64_42 distribute-frac-neg_binary64_41 distribute-neg-out_binary64_40 distribute-neg-in_binary64_39 distribute-rgt-neg-out_binary64_38 distribute-lft-neg-out_binary64_37 distribute-rgt-neg-in_binary64_36 distribute-lft-neg-in_binary64_35 distribute-rgt1-in_binary64_34 distribute-lft1-in_binary64_33 distribute-rgt-out--_binary64_32 distribute-lft-out--_binary64_30 distribute-lft-out_binary64_29 distribute-rgt-in_binary64_28 distribute-lft-in_binary64_27 associate-/l/_binary64_25 associate-/r/_binary64_24 associate-/l*_binary64_23 associate-/r*_binary64_22 associate-*l/_binary64_21 associate-*r/_binary64_20 associate--r-_binary64_17 associate--l-_binary64_16 associate--l+_binary64_15 associate--r+_binary64_14 associate-+l-_binary64_13 associate-+r-_binary64_12 associate-+l+_binary64_11 associate-+r+_binary64_10
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0720
1614
21214
31714
41914
51914
022
122
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
25%74.9%0.1%5
50%50%0.1%6
62.4%31.2%6.3%7
71.8%21.9%6.3%8
76.5%14%9.5%9
80.4%10.1%9.5%10
82.3%6.6%11%11
84.1%4.9%11%12
85%3.2%11.8%13
85.8%2.4%11.8%14
Symmetry

(sort re im)

Compiler

Compiled 8 to 6 computations (25% saved)

sample20.0ms (2.8%)

Algorithm
intervals
Results
5.0ms256×body128valid
0.0msbody128invalid
Compiler

Compiled 15 to 13 computations (13.3% saved)

simplify8.0ms (1.2%)

Algorithm
egg-herbie
Rules
associate-*r*_binary64_18 *-commutative_binary64_9
count-2_binary64_26
distribute-rgt-out_binary64_31 associate-*l*_binary64_19
+-commutative_binary64_8
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_341 erf-erfc_binary64_340 erf-odd_binary64_339 if-if-and-not_binary64_338 if-if-and_binary64_337 if-if-or-not_binary64_336 if-if-or_binary64_335 if-not_binary64_334 if-same_binary64_333 if-false_binary64_332 if-true_binary64_331 not-gte_binary64_330 not-lte_binary64_329 not-gt_binary64_328 not-lt_binary64_327 gte-same_binary64_326 lte-same_binary64_325 gt-same_binary64_324 lt-same_binary64_323 sinh---cosh_binary64_270 sinh-+-cosh_binary64_269 sinh-cosh_binary64_268 tanh-def-c_binary64_267 tanh-def-b_binary64_266 tanh-def-a_binary64_265 cosh-def_binary64_264 sinh-def_binary64_263 tan-neg_binary64_210 cos-neg_binary64_209 sin-neg_binary64_208 tan-0_binary64_207 cos-0_binary64_206 sin-0_binary64_205 hang-m-tan_binary64_204 hang-p-tan_binary64_203 hang-m0-tan_binary64_202 hang-p0-tan_binary64_201 hang-0m-tan_binary64_200 hang-0p-tan_binary64_199 tan-+PI/2_binary64_198 tan-+PI_binary64_197 tan-PI_binary64_196 tan-PI/3_binary64_195 tan-PI/4_binary64_194 tan-PI/6_binary64_193 cos-+PI/2_binary64_192 cos-+PI_binary64_191 cos-PI_binary64_190 cos-PI/2_binary64_189 cos-PI/3_binary64_188 cos-PI/4_binary64_187 cos-PI/6_binary64_186 sin-+PI/2_binary64_185 sin-+PI_binary64_184 sin-PI_binary64_183 sin-PI/2_binary64_182 sin-PI/3_binary64_181 sin-PI/4_binary64_180 sin-PI/6_binary64_179 sub-1-sin_binary64_178 sub-1-cos_binary64_177 -1-add-sin_binary64_176 -1-add-cos_binary64_175 1-sub-sin_binary64_174 1-sub-cos_binary64_173 cos-sin-sum_binary64_172 log-E_binary64_168 log-pow_binary64_167 log-rec_binary64_166 log-div_binary64_165 log-prod_binary64_164 pow-base-0_binary64_162 unpow1/3_binary64_145 unpow3_binary64_144 unpow2_binary64_143 unpow1/2_binary64_142 pow-plus_binary64_141 exp-to-pow_binary64_140 pow-base-1_binary64_138 unpow0_binary64_137 unpow1_binary64_136 unpow-1_binary64_135 exp-lft-cube_binary64_134 exp-lft-sqr_binary64_133 exp-cbrt_binary64_132 exp-sqrt_binary64_131 exp-prod_binary64_130 div-exp_binary64_129 rec-exp_binary64_128 prod-exp_binary64_127 exp-diff_binary64_126 exp-neg_binary64_125 exp-sum_binary64_124 e-exp-1_binary64_123 1-exp_binary64_122 exp-1-e_binary64_121 exp-0_binary64_120 rem-log-exp_binary64_119 rem-exp-log_binary64_118 cube-unmult_binary64_115 cube-mult_binary64_108 cube-div_binary64_107 cube-prod_binary64_106 cube-neg_binary64_105 rem-3cbrt-rft_binary64_104 rem-3cbrt-lft_binary64_103 rem-cbrt-cube_binary64_102 rem-cube-cbrt_binary64_101 sqr-abs_binary64_93 sqr-neg_binary64_92 rem-sqrt-square_binary64_91 rem-square-sqrt_binary64_90 times-frac_binary64_84 div-sub_binary64_83 neg-mul-1_binary64_74 neg-sub0_binary64_73 unsub-neg_binary64_72 sub-neg_binary64_71 mul-1-neg_binary64_70 /-rgt-identity_binary64_69 *-rgt-identity_binary64_68 *-lft-identity_binary64_67 remove-double-neg_binary64_66 sub0-neg_binary64_65 --rgt-identity_binary64_64 +-rgt-identity_binary64_63 +-lft-identity_binary64_62 mul0-rgt_binary64_61 mul0-lft_binary64_60 div0_binary64_59 *-inverses_binary64_58 +-inverses_binary64_57 lft-mult-inverse_binary64_56 rgt-mult-inverse_binary64_55 remove-double-div_binary64_54 pow-sqr_binary64_51 sqr-pow_binary64_50 difference-of-sqr--1_binary64_49 difference-of-sqr-1_binary64_48 difference-of-squares_binary64_47 unswap-sqr_binary64_46 swap-sqr_binary64_45 cancel-sign-sub-inv_binary64_44 cancel-sign-sub_binary64_43 distribute-neg-frac_binary64_42 distribute-frac-neg_binary64_41 distribute-neg-out_binary64_40 distribute-neg-in_binary64_39 distribute-rgt-neg-out_binary64_38 distribute-lft-neg-out_binary64_37 distribute-rgt-neg-in_binary64_36 distribute-lft-neg-in_binary64_35 distribute-rgt1-in_binary64_34 distribute-lft1-in_binary64_33 distribute-rgt-out--_binary64_32 distribute-lft-out--_binary64_30 distribute-lft-out_binary64_29 distribute-rgt-in_binary64_28 distribute-lft-in_binary64_27 associate-/l/_binary64_25 associate-/r/_binary64_24 associate-/l*_binary64_23 associate-/r*_binary64_22 associate-*l/_binary64_21 associate-*r/_binary64_20 associate--r-_binary64_17 associate--l-_binary64_16 associate--l+_binary64_15 associate--r+_binary64_14 associate-+l-_binary64_13 associate-+r-_binary64_12 associate-+l+_binary64_11 associate-+r+_binary64_10
Counts
1 → 1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0610
167
2127
3177
4197
5197

prune3.0ms (0.4%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112
Error
0b
Counts
2 → 1
Compiler

Compiled 10 to 8 computations (20% saved)

localize3.0ms (0.5%)

rewrite0.0ms (0.1%)

Algorithm
rewrite-expression-head
Error
0b
Counts
0 → 0
Compiler

Compiled 0 to 0 computations (0% saved)

series0.0ms (0.1%)

Error
0b
Counts
0 → 0
Compiler

Compiled 0 to 0 computations (0% saved)

simplify11.0ms (1.5%)

Algorithm
egg-herbie
Rules
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_341 erf-erfc_binary64_340 erf-odd_binary64_339 if-if-and-not_binary64_338 if-if-and_binary64_337 if-if-or-not_binary64_336 if-if-or_binary64_335 if-not_binary64_334 if-same_binary64_333 if-false_binary64_332 if-true_binary64_331 not-gte_binary64_330 not-lte_binary64_329 not-gt_binary64_328 not-lt_binary64_327 gte-same_binary64_326 lte-same_binary64_325 gt-same_binary64_324 lt-same_binary64_323 sinh---cosh_binary64_270 sinh-+-cosh_binary64_269 sinh-cosh_binary64_268 tanh-def-c_binary64_267 tanh-def-b_binary64_266 tanh-def-a_binary64_265 cosh-def_binary64_264 sinh-def_binary64_263 tan-neg_binary64_210 cos-neg_binary64_209 sin-neg_binary64_208 tan-0_binary64_207 cos-0_binary64_206 sin-0_binary64_205 hang-m-tan_binary64_204 hang-p-tan_binary64_203 hang-m0-tan_binary64_202 hang-p0-tan_binary64_201 hang-0m-tan_binary64_200 hang-0p-tan_binary64_199 tan-+PI/2_binary64_198 tan-+PI_binary64_197 tan-PI_binary64_196 tan-PI/3_binary64_195 tan-PI/4_binary64_194 tan-PI/6_binary64_193 cos-+PI/2_binary64_192 cos-+PI_binary64_191 cos-PI_binary64_190 cos-PI/2_binary64_189 cos-PI/3_binary64_188 cos-PI/4_binary64_187 cos-PI/6_binary64_186 sin-+PI/2_binary64_185 sin-+PI_binary64_184 sin-PI_binary64_183 sin-PI/2_binary64_182 sin-PI/3_binary64_181 sin-PI/4_binary64_180 sin-PI/6_binary64_179 sub-1-sin_binary64_178 sub-1-cos_binary64_177 -1-add-sin_binary64_176 -1-add-cos_binary64_175 1-sub-sin_binary64_174 1-sub-cos_binary64_173 cos-sin-sum_binary64_172 log-E_binary64_168 log-pow_binary64_167 log-rec_binary64_166 log-div_binary64_165 log-prod_binary64_164 pow-base-0_binary64_162 unpow1/3_binary64_145 unpow3_binary64_144 unpow2_binary64_143 unpow1/2_binary64_142 pow-plus_binary64_141 exp-to-pow_binary64_140 pow-base-1_binary64_138 unpow0_binary64_137 unpow1_binary64_136 unpow-1_binary64_135 exp-lft-cube_binary64_134 exp-lft-sqr_binary64_133 exp-cbrt_binary64_132 exp-sqrt_binary64_131 exp-prod_binary64_130 div-exp_binary64_129 rec-exp_binary64_128 prod-exp_binary64_127 exp-diff_binary64_126 exp-neg_binary64_125 exp-sum_binary64_124 e-exp-1_binary64_123 1-exp_binary64_122 exp-1-e_binary64_121 exp-0_binary64_120 rem-log-exp_binary64_119 rem-exp-log_binary64_118 cube-unmult_binary64_115 cube-mult_binary64_108 cube-div_binary64_107 cube-prod_binary64_106 cube-neg_binary64_105 rem-3cbrt-rft_binary64_104 rem-3cbrt-lft_binary64_103 rem-cbrt-cube_binary64_102 rem-cube-cbrt_binary64_101 sqr-abs_binary64_93 sqr-neg_binary64_92 rem-sqrt-square_binary64_91 rem-square-sqrt_binary64_90 times-frac_binary64_84 div-sub_binary64_83 neg-mul-1_binary64_74 neg-sub0_binary64_73 unsub-neg_binary64_72 sub-neg_binary64_71 mul-1-neg_binary64_70 /-rgt-identity_binary64_69 *-rgt-identity_binary64_68 *-lft-identity_binary64_67 remove-double-neg_binary64_66 sub0-neg_binary64_65 --rgt-identity_binary64_64 +-rgt-identity_binary64_63 +-lft-identity_binary64_62 mul0-rgt_binary64_61 mul0-lft_binary64_60 div0_binary64_59 *-inverses_binary64_58 +-inverses_binary64_57 lft-mult-inverse_binary64_56 rgt-mult-inverse_binary64_55 remove-double-div_binary64_54 pow-sqr_binary64_51 sqr-pow_binary64_50 difference-of-sqr--1_binary64_49 difference-of-sqr-1_binary64_48 difference-of-squares_binary64_47 unswap-sqr_binary64_46 swap-sqr_binary64_45 cancel-sign-sub-inv_binary64_44 cancel-sign-sub_binary64_43 distribute-neg-frac_binary64_42 distribute-frac-neg_binary64_41 distribute-neg-out_binary64_40 distribute-neg-in_binary64_39 distribute-rgt-neg-out_binary64_38 distribute-lft-neg-out_binary64_37 distribute-rgt-neg-in_binary64_36 distribute-lft-neg-in_binary64_35 distribute-rgt1-in_binary64_34 distribute-lft1-in_binary64_33 distribute-rgt-out--_binary64_32 distribute-rgt-out_binary64_31 distribute-lft-out--_binary64_30 distribute-lft-out_binary64_29 distribute-rgt-in_binary64_28 distribute-lft-in_binary64_27 count-2_binary64_26 associate-/l/_binary64_25 associate-/r/_binary64_24 associate-/l*_binary64_23 associate-/r*_binary64_22 associate-*l/_binary64_21 associate-*r/_binary64_20 associate-*l*_binary64_19 associate-*r*_binary64_18 associate--r-_binary64_17 associate--l-_binary64_16 associate--l+_binary64_15 associate--r+_binary64_14 associate-+l-_binary64_13 associate-+r-_binary64_12 associate-+l+_binary64_11 associate-+r+_binary64_10 *-commutative_binary64_9 +-commutative_binary64_8
Counts
0 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
100

prune1.0ms (0.1%)

Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New000
Fresh000
Picked011
Done000
Total011
Error
0b
Counts
1 → 1
Compiler

Compiled 0 to 0 computations (0% saved)

regimes23.0ms (3.2%)

Accuracy

Total 0b remaining (0%)

Threshold costs 0b (0%)

Compiler

Compiled 54 to 45 computations (16.7% saved)

bsearch0.0ms (0%)

simplify8.0ms (1.2%)

Algorithm
egg-herbie
Rules
*-commutative_binary64_9
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_338 if-if-and_binary64_337 if-if-or-not_binary64_336 if-if-or_binary64_335 if-not_binary64_334 if-same_binary64_333 if-false_binary64_332 if-true_binary64_331 tan-0_binary64_207 cos-0_binary64_206 sin-0_binary64_205 unpow1_binary64_136 e-exp-1_binary64_123 1-exp_binary64_122 exp-1-e_binary64_121 exp-0_binary64_120 sqr-abs_binary64_93 sqr-neg_binary64_92 neg-mul-1_binary64_74 neg-sub0_binary64_73 unsub-neg_binary64_72 sub-neg_binary64_71 mul-1-neg_binary64_70 /-rgt-identity_binary64_69 *-rgt-identity_binary64_68 *-lft-identity_binary64_67 remove-double-neg_binary64_66 sub0-neg_binary64_65 --rgt-identity_binary64_64 +-rgt-identity_binary64_63 +-lft-identity_binary64_62 cancel-sign-sub-inv_binary64_44 cancel-sign-sub_binary64_43 distribute-neg-frac_binary64_42 distribute-frac-neg_binary64_41 distribute-neg-out_binary64_40 distribute-neg-in_binary64_39 distribute-rgt-neg-out_binary64_38 distribute-lft-neg-out_binary64_37 distribute-rgt-neg-in_binary64_36 distribute-lft-neg-in_binary64_35 +-commutative_binary64_8
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
167
267
Remove

(sort re im)

Compiler

Compiled 10 to 8 computations (20% saved)

end0.0ms (0%)

sample426.0ms (59.8%)

Algorithm
intervals
Results
165.0ms8000×body128valid
1.0ms78×body128invalid
Compiler

Compiled 25 to 21 computations (16% saved)

Profiling

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