Details

Time bar (total: 537.0ms)

analyze149.0ms (27.7%)

Algorithm
search
egg-herbie
Rules
sub-neg_binary64_20190
*-commutative_binary64_20128 +-commutative_binary64_20127
neg-mul-1_binary64_20193 neg-sub0_binary64_20192 sub0-neg_binary64_20184 --rgt-identity_binary64_20183 +-inverses_binary64_20176 associate--r+_binary64_20133 associate-+l-_binary64_20132
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_20460 erf-erfc_binary64_20459 erf-odd_binary64_20458 if-if-and-not_binary64_20457 if-if-and_binary64_20456 if-if-or-not_binary64_20455 if-if-or_binary64_20454 if-not_binary64_20453 if-same_binary64_20452 if-false_binary64_20451 if-true_binary64_20450 not-gte_binary64_20449 not-lte_binary64_20448 not-gt_binary64_20447 not-lt_binary64_20446 gte-same_binary64_20445 lte-same_binary64_20444 gt-same_binary64_20443 lt-same_binary64_20442 sinh---cosh_binary64_20389 sinh-+-cosh_binary64_20388 sinh-cosh_binary64_20387 tanh-def-c_binary64_20386 tanh-def-b_binary64_20385 tanh-def-a_binary64_20384 cosh-def_binary64_20383 sinh-def_binary64_20382 tan-neg_binary64_20329 cos-neg_binary64_20328 sin-neg_binary64_20327 tan-0_binary64_20326 cos-0_binary64_20325 sin-0_binary64_20324 hang-m-tan_binary64_20323 hang-p-tan_binary64_20322 hang-m0-tan_binary64_20321 hang-p0-tan_binary64_20320 hang-0m-tan_binary64_20319 hang-0p-tan_binary64_20318 tan-+PI/2_binary64_20317 tan-+PI_binary64_20316 tan-PI_binary64_20315 tan-PI/3_binary64_20314 tan-PI/4_binary64_20313 tan-PI/6_binary64_20312 cos-+PI/2_binary64_20311 cos-+PI_binary64_20310 cos-PI_binary64_20309 cos-PI/2_binary64_20308 cos-PI/3_binary64_20307 cos-PI/4_binary64_20306 cos-PI/6_binary64_20305 sin-+PI/2_binary64_20304 sin-+PI_binary64_20303 sin-PI_binary64_20302 sin-PI/2_binary64_20301 sin-PI/3_binary64_20300 sin-PI/4_binary64_20299 sin-PI/6_binary64_20298 sub-1-sin_binary64_20297 sub-1-cos_binary64_20296 -1-add-sin_binary64_20295 -1-add-cos_binary64_20294 1-sub-sin_binary64_20293 1-sub-cos_binary64_20292 cos-sin-sum_binary64_20291 log-E_binary64_20287 log-pow_binary64_20286 log-rec_binary64_20285 log-div_binary64_20284 log-prod_binary64_20283 pow-base-0_binary64_20281 unpow1/3_binary64_20264 unpow3_binary64_20263 unpow2_binary64_20262 unpow1/2_binary64_20261 pow-plus_binary64_20260 exp-to-pow_binary64_20259 pow-base-1_binary64_20257 unpow0_binary64_20256 unpow1_binary64_20255 unpow-1_binary64_20254 exp-lft-cube_binary64_20253 exp-lft-sqr_binary64_20252 exp-cbrt_binary64_20251 exp-sqrt_binary64_20250 exp-prod_binary64_20249 div-exp_binary64_20248 rec-exp_binary64_20247 prod-exp_binary64_20246 exp-diff_binary64_20245 exp-neg_binary64_20244 exp-sum_binary64_20243 e-exp-1_binary64_20242 1-exp_binary64_20241 exp-1-e_binary64_20240 exp-0_binary64_20239 rem-log-exp_binary64_20238 rem-exp-log_binary64_20237 cube-unmult_binary64_20234 cube-mult_binary64_20227 cube-div_binary64_20226 cube-prod_binary64_20225 cube-neg_binary64_20224 rem-3cbrt-rft_binary64_20223 rem-3cbrt-lft_binary64_20222 rem-cbrt-cube_binary64_20221 rem-cube-cbrt_binary64_20220 sqr-abs_binary64_20212 sqr-neg_binary64_20211 rem-sqrt-square_binary64_20210 rem-square-sqrt_binary64_20209 times-frac_binary64_20203 div-sub_binary64_20202 unsub-neg_binary64_20191 mul-1-neg_binary64_20189 /-rgt-identity_binary64_20188 *-rgt-identity_binary64_20187 *-lft-identity_binary64_20186 remove-double-neg_binary64_20185 +-rgt-identity_binary64_20182 +-lft-identity_binary64_20181 mul0-rgt_binary64_20180 mul0-lft_binary64_20179 div0_binary64_20178 *-inverses_binary64_20177 lft-mult-inverse_binary64_20175 rgt-mult-inverse_binary64_20174 remove-double-div_binary64_20173 pow-sqr_binary64_20170 sqr-pow_binary64_20169 difference-of-sqr--1_binary64_20168 difference-of-sqr-1_binary64_20167 difference-of-squares_binary64_20166 unswap-sqr_binary64_20165 swap-sqr_binary64_20164 cancel-sign-sub-inv_binary64_20163 cancel-sign-sub_binary64_20162 distribute-neg-frac_binary64_20161 distribute-frac-neg_binary64_20160 distribute-neg-out_binary64_20159 distribute-neg-in_binary64_20158 distribute-rgt-neg-out_binary64_20157 distribute-lft-neg-out_binary64_20156 distribute-rgt-neg-in_binary64_20155 distribute-lft-neg-in_binary64_20154 distribute-rgt1-in_binary64_20153 distribute-lft1-in_binary64_20152 distribute-rgt-out--_binary64_20151 distribute-rgt-out_binary64_20150 distribute-lft-out--_binary64_20149 distribute-lft-out_binary64_20148 distribute-rgt-in_binary64_20147 distribute-lft-in_binary64_20146 count-2_binary64_20145 associate-/l/_binary64_20144 associate-/r/_binary64_20143 associate-/l*_binary64_20142 associate-/r*_binary64_20141 associate-*l/_binary64_20140 associate-*r/_binary64_20139 associate-*l*_binary64_20138 associate-*r*_binary64_20137 associate--r-_binary64_20136 associate--l-_binary64_20135 associate--l+_binary64_20134 associate-+r-_binary64_20131 associate-+l+_binary64_20130 associate-+r+_binary64_20129
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
051
191
2121
3141
4161
5181
6191
7241
8151
011
111
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
50%50%0%3
75%25%0%4
87.5%12.5%0%5
93.7%6.2%0%6
96.8%3.1%0%7
98.4%1.6%0%8
98.4%1.6%0%9
98.8%1.2%0%10
99%1%0%11
99%1%0%12
99%0.9%0%13
99.1%0.9%0%14
Compiler

Compiled 6 to 5 computations (16.7% saved)

sample10.0ms (1.8%)

Algorithm
intervals
Results
3.0ms256×body128valid
Compiler

Compiled 11 to 10 computations (9.1% saved)

simplify9.0ms (1.6%)

Algorithm
egg-herbie
Rules
sub-neg_binary64_20190
*-commutative_binary64_20128 +-commutative_binary64_20127
neg-mul-1_binary64_20193 neg-sub0_binary64_20192 sub0-neg_binary64_20184 --rgt-identity_binary64_20183 +-inverses_binary64_20176 associate--r+_binary64_20133 associate-+l-_binary64_20132
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_20460 erf-erfc_binary64_20459 erf-odd_binary64_20458 if-if-and-not_binary64_20457 if-if-and_binary64_20456 if-if-or-not_binary64_20455 if-if-or_binary64_20454 if-not_binary64_20453 if-same_binary64_20452 if-false_binary64_20451 if-true_binary64_20450 not-gte_binary64_20449 not-lte_binary64_20448 not-gt_binary64_20447 not-lt_binary64_20446 gte-same_binary64_20445 lte-same_binary64_20444 gt-same_binary64_20443 lt-same_binary64_20442 sinh---cosh_binary64_20389 sinh-+-cosh_binary64_20388 sinh-cosh_binary64_20387 tanh-def-c_binary64_20386 tanh-def-b_binary64_20385 tanh-def-a_binary64_20384 cosh-def_binary64_20383 sinh-def_binary64_20382 tan-neg_binary64_20329 cos-neg_binary64_20328 sin-neg_binary64_20327 tan-0_binary64_20326 cos-0_binary64_20325 sin-0_binary64_20324 hang-m-tan_binary64_20323 hang-p-tan_binary64_20322 hang-m0-tan_binary64_20321 hang-p0-tan_binary64_20320 hang-0m-tan_binary64_20319 hang-0p-tan_binary64_20318 tan-+PI/2_binary64_20317 tan-+PI_binary64_20316 tan-PI_binary64_20315 tan-PI/3_binary64_20314 tan-PI/4_binary64_20313 tan-PI/6_binary64_20312 cos-+PI/2_binary64_20311 cos-+PI_binary64_20310 cos-PI_binary64_20309 cos-PI/2_binary64_20308 cos-PI/3_binary64_20307 cos-PI/4_binary64_20306 cos-PI/6_binary64_20305 sin-+PI/2_binary64_20304 sin-+PI_binary64_20303 sin-PI_binary64_20302 sin-PI/2_binary64_20301 sin-PI/3_binary64_20300 sin-PI/4_binary64_20299 sin-PI/6_binary64_20298 sub-1-sin_binary64_20297 sub-1-cos_binary64_20296 -1-add-sin_binary64_20295 -1-add-cos_binary64_20294 1-sub-sin_binary64_20293 1-sub-cos_binary64_20292 cos-sin-sum_binary64_20291 log-E_binary64_20287 log-pow_binary64_20286 log-rec_binary64_20285 log-div_binary64_20284 log-prod_binary64_20283 pow-base-0_binary64_20281 unpow1/3_binary64_20264 unpow3_binary64_20263 unpow2_binary64_20262 unpow1/2_binary64_20261 pow-plus_binary64_20260 exp-to-pow_binary64_20259 pow-base-1_binary64_20257 unpow0_binary64_20256 unpow1_binary64_20255 unpow-1_binary64_20254 exp-lft-cube_binary64_20253 exp-lft-sqr_binary64_20252 exp-cbrt_binary64_20251 exp-sqrt_binary64_20250 exp-prod_binary64_20249 div-exp_binary64_20248 rec-exp_binary64_20247 prod-exp_binary64_20246 exp-diff_binary64_20245 exp-neg_binary64_20244 exp-sum_binary64_20243 e-exp-1_binary64_20242 1-exp_binary64_20241 exp-1-e_binary64_20240 exp-0_binary64_20239 rem-log-exp_binary64_20238 rem-exp-log_binary64_20237 cube-unmult_binary64_20234 cube-mult_binary64_20227 cube-div_binary64_20226 cube-prod_binary64_20225 cube-neg_binary64_20224 rem-3cbrt-rft_binary64_20223 rem-3cbrt-lft_binary64_20222 rem-cbrt-cube_binary64_20221 rem-cube-cbrt_binary64_20220 sqr-abs_binary64_20212 sqr-neg_binary64_20211 rem-sqrt-square_binary64_20210 rem-square-sqrt_binary64_20209 times-frac_binary64_20203 div-sub_binary64_20202 unsub-neg_binary64_20191 mul-1-neg_binary64_20189 /-rgt-identity_binary64_20188 *-rgt-identity_binary64_20187 *-lft-identity_binary64_20186 remove-double-neg_binary64_20185 +-rgt-identity_binary64_20182 +-lft-identity_binary64_20181 mul0-rgt_binary64_20180 mul0-lft_binary64_20179 div0_binary64_20178 *-inverses_binary64_20177 lft-mult-inverse_binary64_20175 rgt-mult-inverse_binary64_20174 remove-double-div_binary64_20173 pow-sqr_binary64_20170 sqr-pow_binary64_20169 difference-of-sqr--1_binary64_20168 difference-of-sqr-1_binary64_20167 difference-of-squares_binary64_20166 unswap-sqr_binary64_20165 swap-sqr_binary64_20164 cancel-sign-sub-inv_binary64_20163 cancel-sign-sub_binary64_20162 distribute-neg-frac_binary64_20161 distribute-frac-neg_binary64_20160 distribute-neg-out_binary64_20159 distribute-neg-in_binary64_20158 distribute-rgt-neg-out_binary64_20157 distribute-lft-neg-out_binary64_20156 distribute-rgt-neg-in_binary64_20155 distribute-lft-neg-in_binary64_20154 distribute-rgt1-in_binary64_20153 distribute-lft1-in_binary64_20152 distribute-rgt-out--_binary64_20151 distribute-rgt-out_binary64_20150 distribute-lft-out--_binary64_20149 distribute-lft-out_binary64_20148 distribute-rgt-in_binary64_20147 distribute-lft-in_binary64_20146 count-2_binary64_20145 associate-/l/_binary64_20144 associate-/r/_binary64_20143 associate-/l*_binary64_20142 associate-/r*_binary64_20141 associate-*l/_binary64_20140 associate-*r/_binary64_20139 associate-*l*_binary64_20138 associate-*r*_binary64_20137 associate--r-_binary64_20136 associate--l-_binary64_20135 associate--l+_binary64_20134 associate-+r-_binary64_20131 associate-+l+_binary64_20130 associate-+r+_binary64_20129
Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
051
191
2121
3141
4161
5181
6191
7241
8151

prune3.0ms (0.5%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Compiled 2 to 4 computations (-100% saved)

localize0.0ms (0.1%)

rewrite0.0ms (0.1%)

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

Compiled 0 to 0 computations (0% saved)

series4.0ms (0.8%)

Error
0b
Counts
0 → 0
Compiler

Compiled 0 to 0 computations (0% saved)

simplify8.0ms (1.4%)

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_20460 erf-erfc_binary64_20459 erf-odd_binary64_20458 if-if-and-not_binary64_20457 if-if-and_binary64_20456 if-if-or-not_binary64_20455 if-if-or_binary64_20454 if-not_binary64_20453 if-same_binary64_20452 if-false_binary64_20451 if-true_binary64_20450 not-gte_binary64_20449 not-lte_binary64_20448 not-gt_binary64_20447 not-lt_binary64_20446 gte-same_binary64_20445 lte-same_binary64_20444 gt-same_binary64_20443 lt-same_binary64_20442 sinh---cosh_binary64_20389 sinh-+-cosh_binary64_20388 sinh-cosh_binary64_20387 tanh-def-c_binary64_20386 tanh-def-b_binary64_20385 tanh-def-a_binary64_20384 cosh-def_binary64_20383 sinh-def_binary64_20382 tan-neg_binary64_20329 cos-neg_binary64_20328 sin-neg_binary64_20327 tan-0_binary64_20326 cos-0_binary64_20325 sin-0_binary64_20324 hang-m-tan_binary64_20323 hang-p-tan_binary64_20322 hang-m0-tan_binary64_20321 hang-p0-tan_binary64_20320 hang-0m-tan_binary64_20319 hang-0p-tan_binary64_20318 tan-+PI/2_binary64_20317 tan-+PI_binary64_20316 tan-PI_binary64_20315 tan-PI/3_binary64_20314 tan-PI/4_binary64_20313 tan-PI/6_binary64_20312 cos-+PI/2_binary64_20311 cos-+PI_binary64_20310 cos-PI_binary64_20309 cos-PI/2_binary64_20308 cos-PI/3_binary64_20307 cos-PI/4_binary64_20306 cos-PI/6_binary64_20305 sin-+PI/2_binary64_20304 sin-+PI_binary64_20303 sin-PI_binary64_20302 sin-PI/2_binary64_20301 sin-PI/3_binary64_20300 sin-PI/4_binary64_20299 sin-PI/6_binary64_20298 sub-1-sin_binary64_20297 sub-1-cos_binary64_20296 -1-add-sin_binary64_20295 -1-add-cos_binary64_20294 1-sub-sin_binary64_20293 1-sub-cos_binary64_20292 cos-sin-sum_binary64_20291 log-E_binary64_20287 log-pow_binary64_20286 log-rec_binary64_20285 log-div_binary64_20284 log-prod_binary64_20283 pow-base-0_binary64_20281 unpow1/3_binary64_20264 unpow3_binary64_20263 unpow2_binary64_20262 unpow1/2_binary64_20261 pow-plus_binary64_20260 exp-to-pow_binary64_20259 pow-base-1_binary64_20257 unpow0_binary64_20256 unpow1_binary64_20255 unpow-1_binary64_20254 exp-lft-cube_binary64_20253 exp-lft-sqr_binary64_20252 exp-cbrt_binary64_20251 exp-sqrt_binary64_20250 exp-prod_binary64_20249 div-exp_binary64_20248 rec-exp_binary64_20247 prod-exp_binary64_20246 exp-diff_binary64_20245 exp-neg_binary64_20244 exp-sum_binary64_20243 e-exp-1_binary64_20242 1-exp_binary64_20241 exp-1-e_binary64_20240 exp-0_binary64_20239 rem-log-exp_binary64_20238 rem-exp-log_binary64_20237 cube-unmult_binary64_20234 cube-mult_binary64_20227 cube-div_binary64_20226 cube-prod_binary64_20225 cube-neg_binary64_20224 rem-3cbrt-rft_binary64_20223 rem-3cbrt-lft_binary64_20222 rem-cbrt-cube_binary64_20221 rem-cube-cbrt_binary64_20220 sqr-abs_binary64_20212 sqr-neg_binary64_20211 rem-sqrt-square_binary64_20210 rem-square-sqrt_binary64_20209 times-frac_binary64_20203 div-sub_binary64_20202 neg-mul-1_binary64_20193 neg-sub0_binary64_20192 unsub-neg_binary64_20191 sub-neg_binary64_20190 mul-1-neg_binary64_20189 /-rgt-identity_binary64_20188 *-rgt-identity_binary64_20187 *-lft-identity_binary64_20186 remove-double-neg_binary64_20185 sub0-neg_binary64_20184 --rgt-identity_binary64_20183 +-rgt-identity_binary64_20182 +-lft-identity_binary64_20181 mul0-rgt_binary64_20180 mul0-lft_binary64_20179 div0_binary64_20178 *-inverses_binary64_20177 +-inverses_binary64_20176 lft-mult-inverse_binary64_20175 rgt-mult-inverse_binary64_20174 remove-double-div_binary64_20173 pow-sqr_binary64_20170 sqr-pow_binary64_20169 difference-of-sqr--1_binary64_20168 difference-of-sqr-1_binary64_20167 difference-of-squares_binary64_20166 unswap-sqr_binary64_20165 swap-sqr_binary64_20164 cancel-sign-sub-inv_binary64_20163 cancel-sign-sub_binary64_20162 distribute-neg-frac_binary64_20161 distribute-frac-neg_binary64_20160 distribute-neg-out_binary64_20159 distribute-neg-in_binary64_20158 distribute-rgt-neg-out_binary64_20157 distribute-lft-neg-out_binary64_20156 distribute-rgt-neg-in_binary64_20155 distribute-lft-neg-in_binary64_20154 distribute-rgt1-in_binary64_20153 distribute-lft1-in_binary64_20152 distribute-rgt-out--_binary64_20151 distribute-rgt-out_binary64_20150 distribute-lft-out--_binary64_20149 distribute-lft-out_binary64_20148 distribute-rgt-in_binary64_20147 distribute-lft-in_binary64_20146 count-2_binary64_20145 associate-/l/_binary64_20144 associate-/r/_binary64_20143 associate-/l*_binary64_20142 associate-/r*_binary64_20141 associate-*l/_binary64_20140 associate-*r/_binary64_20139 associate-*l*_binary64_20138 associate-*r*_binary64_20137 associate--r-_binary64_20136 associate--l-_binary64_20135 associate--l+_binary64_20134 associate--r+_binary64_20133 associate-+l-_binary64_20132 associate-+r-_binary64_20131 associate-+l+_binary64_20130 associate-+r+_binary64_20129 *-commutative_binary64_20128 +-commutative_binary64_20127
Counts
0 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
100

prune0.0ms (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)

regimes15.0ms (2.8%)

Accuracy

Total 0b remaining (0%)

Threshold costs 0b (0%)

Compiler

Compiled 36 to 32 computations (11.1% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.4%)

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 if-if-and-not_binary64_20457 if-if-and_binary64_20456 if-if-or-not_binary64_20455 if-if-or_binary64_20454 if-not_binary64_20453 if-same_binary64_20452 if-false_binary64_20451 if-true_binary64_20450 tan-0_binary64_20326 cos-0_binary64_20325 sin-0_binary64_20324 unpow1_binary64_20255 e-exp-1_binary64_20242 1-exp_binary64_20241 exp-1-e_binary64_20240 exp-0_binary64_20239 sqr-abs_binary64_20212 sqr-neg_binary64_20211 neg-mul-1_binary64_20193 neg-sub0_binary64_20192 unsub-neg_binary64_20191 sub-neg_binary64_20190 mul-1-neg_binary64_20189 /-rgt-identity_binary64_20188 *-rgt-identity_binary64_20187 *-lft-identity_binary64_20186 remove-double-neg_binary64_20185 sub0-neg_binary64_20184 --rgt-identity_binary64_20183 +-rgt-identity_binary64_20182 +-lft-identity_binary64_20181 cancel-sign-sub-inv_binary64_20163 cancel-sign-sub_binary64_20162 distribute-neg-frac_binary64_20161 distribute-frac-neg_binary64_20160 distribute-neg-out_binary64_20159 distribute-neg-in_binary64_20158 distribute-rgt-neg-out_binary64_20157 distribute-lft-neg-out_binary64_20156 distribute-rgt-neg-in_binary64_20155 distribute-lft-neg-in_binary64_20154 *-commutative_binary64_20128 +-commutative_binary64_20127
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
011
111

end0.0ms (0%)

sample337.0ms (62.7%)

Algorithm
intervals
Results
122.0ms8000×body128valid
Compiler

Compiled 14 to 16 computations (-14.3% saved)

Profiling

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