Details

Time bar (total: 638.0ms)

analyze40.0ms (6.3%)

Algorithm
search
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
25%74.9%0.1%4
43.7%56.2%0.1%5
65.6%34.3%0.1%6
76.5%23.4%0.1%7
82%18%0.1%8
87.8%12.1%0.1%9
90.7%9.2%0.1%10
93.8%6.1%0.1%11
95.3%4.6%0.1%12
96.8%3.1%0.1%13
97.6%2.3%0.1%14
Compiler

Compiled 6 to 5 computations (16.7% saved)

sample13.0ms (2.1%)

Algorithm
intervals
Results
5.0ms256×body128valid
Compiler

Compiled 11 to 11 computations (0% saved)

simplify147.0ms (23%)

Algorithm
egg-herbie
Rules
+-commutative_binary64_10920
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_11253 erf-erfc_binary64_11252 erf-odd_binary64_11251 if-if-and-not_binary64_11250 if-if-and_binary64_11249 if-if-or-not_binary64_11248 if-if-or_binary64_11247 if-not_binary64_11246 if-same_binary64_11245 if-false_binary64_11244 if-true_binary64_11243 not-gte_binary64_11242 not-lte_binary64_11241 not-gt_binary64_11240 not-lt_binary64_11239 gte-same_binary64_11238 lte-same_binary64_11237 gt-same_binary64_11236 lt-same_binary64_11235 sinh---cosh_binary64_11182 sinh-+-cosh_binary64_11181 sinh-cosh_binary64_11180 tanh-def-c_binary64_11179 tanh-def-b_binary64_11178 tanh-def-a_binary64_11177 cosh-def_binary64_11176 sinh-def_binary64_11175 tan-neg_binary64_11122 cos-neg_binary64_11121 sin-neg_binary64_11120 tan-0_binary64_11119 cos-0_binary64_11118 sin-0_binary64_11117 hang-m-tan_binary64_11116 hang-p-tan_binary64_11115 hang-m0-tan_binary64_11114 hang-p0-tan_binary64_11113 hang-0m-tan_binary64_11112 hang-0p-tan_binary64_11111 tan-+PI/2_binary64_11110 tan-+PI_binary64_11109 tan-PI_binary64_11108 tan-PI/3_binary64_11107 tan-PI/4_binary64_11106 tan-PI/6_binary64_11105 cos-+PI/2_binary64_11104 cos-+PI_binary64_11103 cos-PI_binary64_11102 cos-PI/2_binary64_11101 cos-PI/3_binary64_11100 cos-PI/4_binary64_11099 cos-PI/6_binary64_11098 sin-+PI/2_binary64_11097 sin-+PI_binary64_11096 sin-PI_binary64_11095 sin-PI/2_binary64_11094 sin-PI/3_binary64_11093 sin-PI/4_binary64_11092 sin-PI/6_binary64_11091 sub-1-sin_binary64_11090 sub-1-cos_binary64_11089 -1-add-sin_binary64_11088 -1-add-cos_binary64_11087 1-sub-sin_binary64_11086 1-sub-cos_binary64_11085 cos-sin-sum_binary64_11084 log-E_binary64_11080 log-pow_binary64_11079 log-rec_binary64_11078 log-div_binary64_11077 log-prod_binary64_11076 pow-base-0_binary64_11074 unpow1/3_binary64_11057 unpow3_binary64_11056 unpow2_binary64_11055 unpow1/2_binary64_11054 pow-plus_binary64_11053 exp-to-pow_binary64_11052 pow-base-1_binary64_11050 unpow0_binary64_11049 unpow1_binary64_11048 unpow-1_binary64_11047 exp-lft-cube_binary64_11046 exp-lft-sqr_binary64_11045 exp-cbrt_binary64_11044 exp-sqrt_binary64_11043 exp-prod_binary64_11042 div-exp_binary64_11041 rec-exp_binary64_11040 prod-exp_binary64_11039 exp-diff_binary64_11038 exp-neg_binary64_11037 exp-sum_binary64_11036 e-exp-1_binary64_11035 1-exp_binary64_11034 exp-1-e_binary64_11033 exp-0_binary64_11032 rem-log-exp_binary64_11031 rem-exp-log_binary64_11030 cube-unmult_binary64_11027 cube-mult_binary64_11020 cube-div_binary64_11019 cube-prod_binary64_11018 cube-neg_binary64_11017 rem-3cbrt-rft_binary64_11016 rem-3cbrt-lft_binary64_11015 rem-cbrt-cube_binary64_11014 rem-cube-cbrt_binary64_11013 sqr-abs_binary64_11005 sqr-neg_binary64_11004 rem-sqrt-square_binary64_11003 rem-square-sqrt_binary64_11002 times-frac_binary64_10996 div-sub_binary64_10995 neg-mul-1_binary64_10986 neg-sub0_binary64_10985 unsub-neg_binary64_10984 sub-neg_binary64_10983 mul-1-neg_binary64_10982 /-rgt-identity_binary64_10981 *-rgt-identity_binary64_10980 *-lft-identity_binary64_10979 remove-double-neg_binary64_10978 sub0-neg_binary64_10977 --rgt-identity_binary64_10976 +-rgt-identity_binary64_10975 +-lft-identity_binary64_10974 mul0-rgt_binary64_10973 mul0-lft_binary64_10972 div0_binary64_10971 *-inverses_binary64_10970 +-inverses_binary64_10969 lft-mult-inverse_binary64_10968 rgt-mult-inverse_binary64_10967 remove-double-div_binary64_10966 pow-sqr_binary64_10963 sqr-pow_binary64_10962 difference-of-sqr--1_binary64_10961 difference-of-sqr-1_binary64_10960 difference-of-squares_binary64_10959 unswap-sqr_binary64_10958 swap-sqr_binary64_10957 cancel-sign-sub-inv_binary64_10956 cancel-sign-sub_binary64_10955 distribute-neg-frac_binary64_10954 distribute-frac-neg_binary64_10953 distribute-neg-out_binary64_10952 distribute-neg-in_binary64_10951 distribute-rgt-neg-out_binary64_10950 distribute-lft-neg-out_binary64_10949 distribute-rgt-neg-in_binary64_10948 distribute-lft-neg-in_binary64_10947 distribute-rgt1-in_binary64_10946 distribute-lft1-in_binary64_10945 distribute-rgt-out--_binary64_10944 distribute-rgt-out_binary64_10943 distribute-lft-out--_binary64_10942 distribute-lft-out_binary64_10941 distribute-rgt-in_binary64_10940 distribute-lft-in_binary64_10939 count-2_binary64_10938 associate-/l/_binary64_10937 associate-/r/_binary64_10936 associate-/l*_binary64_10935 associate-/r*_binary64_10934 associate-*l/_binary64_10933 associate-*r/_binary64_10932 associate-*l*_binary64_10931 associate-*r*_binary64_10930 associate--r-_binary64_10929 associate--l-_binary64_10928 associate--l+_binary64_10927 associate--r+_binary64_10926 associate-+l-_binary64_10925 associate-+r-_binary64_10924 associate-+l+_binary64_10923 associate-+r+_binary64_10922 *-commutative_binary64_10921
Counts
1 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
167

prune2.0ms (0.3%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done000
Total011
Error
0b
Counts
1 → 1
Compiler

Compiled 5 to 4 computations (20% saved)

localize4.0ms (0.6%)

rewrite1.0ms (0.1%)

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

Compiled 0 to 0 computations (0% saved)

series1.0ms (0.1%)

Error
0b
Counts
0 → 0
Compiler

Compiled 0 to 0 computations (0% saved)

simplify9.0ms (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_11253 erf-erfc_binary64_11252 erf-odd_binary64_11251 if-if-and-not_binary64_11250 if-if-and_binary64_11249 if-if-or-not_binary64_11248 if-if-or_binary64_11247 if-not_binary64_11246 if-same_binary64_11245 if-false_binary64_11244 if-true_binary64_11243 not-gte_binary64_11242 not-lte_binary64_11241 not-gt_binary64_11240 not-lt_binary64_11239 gte-same_binary64_11238 lte-same_binary64_11237 gt-same_binary64_11236 lt-same_binary64_11235 sinh---cosh_binary64_11182 sinh-+-cosh_binary64_11181 sinh-cosh_binary64_11180 tanh-def-c_binary64_11179 tanh-def-b_binary64_11178 tanh-def-a_binary64_11177 cosh-def_binary64_11176 sinh-def_binary64_11175 tan-neg_binary64_11122 cos-neg_binary64_11121 sin-neg_binary64_11120 tan-0_binary64_11119 cos-0_binary64_11118 sin-0_binary64_11117 hang-m-tan_binary64_11116 hang-p-tan_binary64_11115 hang-m0-tan_binary64_11114 hang-p0-tan_binary64_11113 hang-0m-tan_binary64_11112 hang-0p-tan_binary64_11111 tan-+PI/2_binary64_11110 tan-+PI_binary64_11109 tan-PI_binary64_11108 tan-PI/3_binary64_11107 tan-PI/4_binary64_11106 tan-PI/6_binary64_11105 cos-+PI/2_binary64_11104 cos-+PI_binary64_11103 cos-PI_binary64_11102 cos-PI/2_binary64_11101 cos-PI/3_binary64_11100 cos-PI/4_binary64_11099 cos-PI/6_binary64_11098 sin-+PI/2_binary64_11097 sin-+PI_binary64_11096 sin-PI_binary64_11095 sin-PI/2_binary64_11094 sin-PI/3_binary64_11093 sin-PI/4_binary64_11092 sin-PI/6_binary64_11091 sub-1-sin_binary64_11090 sub-1-cos_binary64_11089 -1-add-sin_binary64_11088 -1-add-cos_binary64_11087 1-sub-sin_binary64_11086 1-sub-cos_binary64_11085 cos-sin-sum_binary64_11084 log-E_binary64_11080 log-pow_binary64_11079 log-rec_binary64_11078 log-div_binary64_11077 log-prod_binary64_11076 pow-base-0_binary64_11074 unpow1/3_binary64_11057 unpow3_binary64_11056 unpow2_binary64_11055 unpow1/2_binary64_11054 pow-plus_binary64_11053 exp-to-pow_binary64_11052 pow-base-1_binary64_11050 unpow0_binary64_11049 unpow1_binary64_11048 unpow-1_binary64_11047 exp-lft-cube_binary64_11046 exp-lft-sqr_binary64_11045 exp-cbrt_binary64_11044 exp-sqrt_binary64_11043 exp-prod_binary64_11042 div-exp_binary64_11041 rec-exp_binary64_11040 prod-exp_binary64_11039 exp-diff_binary64_11038 exp-neg_binary64_11037 exp-sum_binary64_11036 e-exp-1_binary64_11035 1-exp_binary64_11034 exp-1-e_binary64_11033 exp-0_binary64_11032 rem-log-exp_binary64_11031 rem-exp-log_binary64_11030 cube-unmult_binary64_11027 cube-mult_binary64_11020 cube-div_binary64_11019 cube-prod_binary64_11018 cube-neg_binary64_11017 rem-3cbrt-rft_binary64_11016 rem-3cbrt-lft_binary64_11015 rem-cbrt-cube_binary64_11014 rem-cube-cbrt_binary64_11013 sqr-abs_binary64_11005 sqr-neg_binary64_11004 rem-sqrt-square_binary64_11003 rem-square-sqrt_binary64_11002 times-frac_binary64_10996 div-sub_binary64_10995 neg-mul-1_binary64_10986 neg-sub0_binary64_10985 unsub-neg_binary64_10984 sub-neg_binary64_10983 mul-1-neg_binary64_10982 /-rgt-identity_binary64_10981 *-rgt-identity_binary64_10980 *-lft-identity_binary64_10979 remove-double-neg_binary64_10978 sub0-neg_binary64_10977 --rgt-identity_binary64_10976 +-rgt-identity_binary64_10975 +-lft-identity_binary64_10974 mul0-rgt_binary64_10973 mul0-lft_binary64_10972 div0_binary64_10971 *-inverses_binary64_10970 +-inverses_binary64_10969 lft-mult-inverse_binary64_10968 rgt-mult-inverse_binary64_10967 remove-double-div_binary64_10966 pow-sqr_binary64_10963 sqr-pow_binary64_10962 difference-of-sqr--1_binary64_10961 difference-of-sqr-1_binary64_10960 difference-of-squares_binary64_10959 unswap-sqr_binary64_10958 swap-sqr_binary64_10957 cancel-sign-sub-inv_binary64_10956 cancel-sign-sub_binary64_10955 distribute-neg-frac_binary64_10954 distribute-frac-neg_binary64_10953 distribute-neg-out_binary64_10952 distribute-neg-in_binary64_10951 distribute-rgt-neg-out_binary64_10950 distribute-lft-neg-out_binary64_10949 distribute-rgt-neg-in_binary64_10948 distribute-lft-neg-in_binary64_10947 distribute-rgt1-in_binary64_10946 distribute-lft1-in_binary64_10945 distribute-rgt-out--_binary64_10944 distribute-rgt-out_binary64_10943 distribute-lft-out--_binary64_10942 distribute-lft-out_binary64_10941 distribute-rgt-in_binary64_10940 distribute-lft-in_binary64_10939 count-2_binary64_10938 associate-/l/_binary64_10937 associate-/r/_binary64_10936 associate-/l*_binary64_10935 associate-/r*_binary64_10934 associate-*l/_binary64_10933 associate-*r/_binary64_10932 associate-*l*_binary64_10931 associate-*r*_binary64_10930 associate--r-_binary64_10929 associate--l-_binary64_10928 associate--l+_binary64_10927 associate--r+_binary64_10926 associate-+l-_binary64_10925 associate-+r-_binary64_10924 associate-+l+_binary64_10923 associate-+r+_binary64_10922 *-commutative_binary64_10921 +-commutative_binary64_10920
Counts
0 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000

prune2.0ms (0.3%)

Pruning

1 alts after pruning (0 fresh and 1 done)

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

Compiled 5 to 4 computations (20% saved)

simplify3.0ms (0.5%)

Algorithm
egg-herbie
Rules
+-commutative_binary64_10920
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_11250 if-if-and_binary64_11249 if-if-or-not_binary64_11248 if-if-or_binary64_11247 if-not_binary64_11246 if-same_binary64_11245 if-false_binary64_11244 if-true_binary64_11243 tan-0_binary64_11119 cos-0_binary64_11118 sin-0_binary64_11117 unpow1_binary64_11048 e-exp-1_binary64_11035 1-exp_binary64_11034 exp-1-e_binary64_11033 exp-0_binary64_11032 sqr-abs_binary64_11005 sqr-neg_binary64_11004 neg-mul-1_binary64_10986 neg-sub0_binary64_10985 unsub-neg_binary64_10984 sub-neg_binary64_10983 mul-1-neg_binary64_10982 /-rgt-identity_binary64_10981 *-rgt-identity_binary64_10980 *-lft-identity_binary64_10979 remove-double-neg_binary64_10978 sub0-neg_binary64_10977 --rgt-identity_binary64_10976 +-rgt-identity_binary64_10975 +-lft-identity_binary64_10974 cancel-sign-sub-inv_binary64_10956 cancel-sign-sub_binary64_10955 distribute-neg-frac_binary64_10954 distribute-frac-neg_binary64_10953 distribute-neg-out_binary64_10952 distribute-neg-in_binary64_10951 distribute-rgt-neg-out_binary64_10950 distribute-lft-neg-out_binary64_10949 distribute-rgt-neg-in_binary64_10948 distribute-lft-neg-in_binary64_10947 *-commutative_binary64_10921
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
167
Proof
(/ f64 h0 (+ f64 h0 h1))

end0.0ms (0%)

sample417.0ms (65.4%)

Algorithm
intervals
Results
160.0ms8000×body128valid
Compiler

Compiled 16 to 15 computations (6.3% saved)

Profiling

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