Time bar (total: 40.1s)
| 1× | search |
| 2× | egg-herbie |
| 755× | unswap-sqr_binary64_3115 |
| 691× | distribute-rgt-out_binary64_3100 |
| 576× | +-commutative_binary64_3077 |
| 488× | *-commutative_binary64_3078 |
| 435× | distribute-rgt-in_binary64_3097 |
| 404× | distribute-lft-in_binary64_3096 |
| 375× | associate-*l*_binary64_3088 |
| 295× | associate-*r*_binary64_3087 |
| 280× | associate-+l+_binary64_3080 |
| 231× | associate-+r+_binary64_3079 |
| 53× | associate-*l/_binary64_3090 associate-*r/_binary64_3089 |
| 51× | distribute-lft-out_binary64_3098 |
| 41× | sqr-pow_binary64_3119 |
| 17× | pow-plus_binary64_3210 |
| 14× | distribute-rgt1-in_binary64_3103 |
| 8× | cube-prod_binary64_3175 pow-sqr_binary64_3120 |
| 7× | cube-unmult_binary64_3184 |
| 6× | associate-/l*_binary64_3092 |
| 3× | unpow2_binary64_3212 |
| 2× | unpow3_binary64_3213 unpow1/2_binary64_3211 unpow1_binary64_3205 /-rgt-identity_binary64_3138 *-rgt-identity_binary64_3137 *-lft-identity_binary64_3136 swap-sqr_binary64_3114 associate-/r*_binary64_3091 |
| 1× | 1-exp_binary64_3191 associate-/r/_binary64_3093 |
| 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_3410 erf-erfc_binary64_3409 erf-odd_binary64_3408 if-if-and-not_binary64_3407 if-if-and_binary64_3406 if-if-or-not_binary64_3405 if-if-or_binary64_3404 if-not_binary64_3403 if-same_binary64_3402 if-false_binary64_3401 if-true_binary64_3400 not-gte_binary64_3399 not-lte_binary64_3398 not-gt_binary64_3397 not-lt_binary64_3396 gte-same_binary64_3395 lte-same_binary64_3394 gt-same_binary64_3393 lt-same_binary64_3392 sinh---cosh_binary64_3339 sinh-+-cosh_binary64_3338 sinh-cosh_binary64_3337 tanh-def-c_binary64_3336 tanh-def-b_binary64_3335 tanh-def-a_binary64_3334 cosh-def_binary64_3333 sinh-def_binary64_3332 tan-neg_binary64_3279 cos-neg_binary64_3278 sin-neg_binary64_3277 tan-0_binary64_3276 cos-0_binary64_3275 sin-0_binary64_3274 hang-m-tan_binary64_3273 hang-p-tan_binary64_3272 hang-m0-tan_binary64_3271 hang-p0-tan_binary64_3270 hang-0m-tan_binary64_3269 hang-0p-tan_binary64_3268 tan-+PI/2_binary64_3267 tan-+PI_binary64_3266 tan-PI_binary64_3265 tan-PI/3_binary64_3264 tan-PI/4_binary64_3263 tan-PI/6_binary64_3262 cos-+PI/2_binary64_3261 cos-+PI_binary64_3260 cos-PI_binary64_3259 cos-PI/2_binary64_3258 cos-PI/3_binary64_3257 cos-PI/4_binary64_3256 cos-PI/6_binary64_3255 sin-+PI/2_binary64_3254 sin-+PI_binary64_3253 sin-PI_binary64_3252 sin-PI/2_binary64_3251 sin-PI/3_binary64_3250 sin-PI/4_binary64_3249 sin-PI/6_binary64_3248 sub-1-sin_binary64_3247 sub-1-cos_binary64_3246 -1-add-sin_binary64_3245 -1-add-cos_binary64_3244 1-sub-sin_binary64_3243 1-sub-cos_binary64_3242 cos-sin-sum_binary64_3241 log-E_binary64_3237 log-pow_binary64_3236 log-rec_binary64_3235 log-div_binary64_3234 log-prod_binary64_3233 pow-base-0_binary64_3231 unpow1/3_binary64_3214 exp-to-pow_binary64_3209 pow-base-1_binary64_3207 unpow0_binary64_3206 unpow-1_binary64_3204 exp-lft-cube_binary64_3203 exp-lft-sqr_binary64_3202 exp-cbrt_binary64_3201 exp-sqrt_binary64_3200 exp-prod_binary64_3199 div-exp_binary64_3198 rec-exp_binary64_3197 prod-exp_binary64_3196 exp-diff_binary64_3195 exp-neg_binary64_3194 exp-sum_binary64_3193 e-exp-1_binary64_3192 exp-1-e_binary64_3190 exp-0_binary64_3189 rem-log-exp_binary64_3188 rem-exp-log_binary64_3187 cube-mult_binary64_3177 cube-div_binary64_3176 cube-neg_binary64_3174 rem-3cbrt-rft_binary64_3173 rem-3cbrt-lft_binary64_3172 rem-cbrt-cube_binary64_3171 rem-cube-cbrt_binary64_3170 sqr-abs_binary64_3162 sqr-neg_binary64_3161 rem-sqrt-square_binary64_3160 rem-square-sqrt_binary64_3159 times-frac_binary64_3153 div-sub_binary64_3152 neg-mul-1_binary64_3143 neg-sub0_binary64_3142 unsub-neg_binary64_3141 sub-neg_binary64_3140 mul-1-neg_binary64_3139 remove-double-neg_binary64_3135 sub0-neg_binary64_3134 --rgt-identity_binary64_3133 +-rgt-identity_binary64_3132 +-lft-identity_binary64_3131 mul0-rgt_binary64_3130 mul0-lft_binary64_3129 div0_binary64_3128 *-inverses_binary64_3127 +-inverses_binary64_3126 lft-mult-inverse_binary64_3125 rgt-mult-inverse_binary64_3124 remove-double-div_binary64_3123 difference-of-sqr--1_binary64_3118 difference-of-sqr-1_binary64_3117 difference-of-squares_binary64_3116 cancel-sign-sub-inv_binary64_3113 cancel-sign-sub_binary64_3112 distribute-neg-frac_binary64_3111 distribute-frac-neg_binary64_3110 distribute-neg-out_binary64_3109 distribute-neg-in_binary64_3108 distribute-rgt-neg-out_binary64_3107 distribute-lft-neg-out_binary64_3106 distribute-rgt-neg-in_binary64_3105 distribute-lft-neg-in_binary64_3104 distribute-lft1-in_binary64_3102 distribute-rgt-out--_binary64_3101 distribute-lft-out--_binary64_3099 count-2_binary64_3095 associate-/l/_binary64_3094 associate--r-_binary64_3086 associate--l-_binary64_3085 associate--l+_binary64_3084 associate--r+_binary64_3083 associate-+l-_binary64_3082 associate-+r-_binary64_3081 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 256 |
| 1 | 133 | 160 |
| 2 | 489 | 115 |
| 3 | 1780 | 106 |
| 4 | 3058 | 106 |
| 5 | 3882 | 106 |
| 6 | 4227 | 106 |
| 7 | 5240 | 106 |
| 0 | 1 | 1 |
| 1 | 1 | 1 |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 100% | 0% | 0 |
| 0% | 100% | 0% | 1 |
| 0% | 100% | 0% | 2 |
| 50% | 50% | 0% | 3 |
| 50% | 50% | 0% | 4 |
| 50% | 50% | 0% | 5 |
| 81.2% | 18.7% | 0% | 6 |
| 100% | 0% | 0% | 7 |
Compiled 174 to 47 computations (73% saved)
| 1× | intervals |
| 34.0ms | 256× | body | 128 | valid |
Compiled 347 to 94 computations (72.9% saved)
| 1× | egg-herbie |
| 755× | unswap-sqr_binary64_3115 |
| 691× | distribute-rgt-out_binary64_3100 |
| 576× | +-commutative_binary64_3077 |
| 488× | *-commutative_binary64_3078 |
| 435× | distribute-rgt-in_binary64_3097 |
| 404× | distribute-lft-in_binary64_3096 |
| 375× | associate-*l*_binary64_3088 |
| 295× | associate-*r*_binary64_3087 |
| 280× | associate-+l+_binary64_3080 |
| 231× | associate-+r+_binary64_3079 |
| 53× | associate-*l/_binary64_3090 associate-*r/_binary64_3089 |
| 51× | distribute-lft-out_binary64_3098 |
| 41× | sqr-pow_binary64_3119 |
| 17× | pow-plus_binary64_3210 |
| 14× | distribute-rgt1-in_binary64_3103 |
| 8× | cube-prod_binary64_3175 pow-sqr_binary64_3120 |
| 7× | cube-unmult_binary64_3184 |
| 6× | associate-/l*_binary64_3092 |
| 3× | unpow2_binary64_3212 |
| 2× | unpow3_binary64_3213 unpow1/2_binary64_3211 unpow1_binary64_3205 /-rgt-identity_binary64_3138 *-rgt-identity_binary64_3137 *-lft-identity_binary64_3136 swap-sqr_binary64_3114 associate-/r*_binary64_3091 |
| 1× | 1-exp_binary64_3191 associate-/r/_binary64_3093 |
| 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_3410 erf-erfc_binary64_3409 erf-odd_binary64_3408 if-if-and-not_binary64_3407 if-if-and_binary64_3406 if-if-or-not_binary64_3405 if-if-or_binary64_3404 if-not_binary64_3403 if-same_binary64_3402 if-false_binary64_3401 if-true_binary64_3400 not-gte_binary64_3399 not-lte_binary64_3398 not-gt_binary64_3397 not-lt_binary64_3396 gte-same_binary64_3395 lte-same_binary64_3394 gt-same_binary64_3393 lt-same_binary64_3392 sinh---cosh_binary64_3339 sinh-+-cosh_binary64_3338 sinh-cosh_binary64_3337 tanh-def-c_binary64_3336 tanh-def-b_binary64_3335 tanh-def-a_binary64_3334 cosh-def_binary64_3333 sinh-def_binary64_3332 tan-neg_binary64_3279 cos-neg_binary64_3278 sin-neg_binary64_3277 tan-0_binary64_3276 cos-0_binary64_3275 sin-0_binary64_3274 hang-m-tan_binary64_3273 hang-p-tan_binary64_3272 hang-m0-tan_binary64_3271 hang-p0-tan_binary64_3270 hang-0m-tan_binary64_3269 hang-0p-tan_binary64_3268 tan-+PI/2_binary64_3267 tan-+PI_binary64_3266 tan-PI_binary64_3265 tan-PI/3_binary64_3264 tan-PI/4_binary64_3263 tan-PI/6_binary64_3262 cos-+PI/2_binary64_3261 cos-+PI_binary64_3260 cos-PI_binary64_3259 cos-PI/2_binary64_3258 cos-PI/3_binary64_3257 cos-PI/4_binary64_3256 cos-PI/6_binary64_3255 sin-+PI/2_binary64_3254 sin-+PI_binary64_3253 sin-PI_binary64_3252 sin-PI/2_binary64_3251 sin-PI/3_binary64_3250 sin-PI/4_binary64_3249 sin-PI/6_binary64_3248 sub-1-sin_binary64_3247 sub-1-cos_binary64_3246 -1-add-sin_binary64_3245 -1-add-cos_binary64_3244 1-sub-sin_binary64_3243 1-sub-cos_binary64_3242 cos-sin-sum_binary64_3241 log-E_binary64_3237 log-pow_binary64_3236 log-rec_binary64_3235 log-div_binary64_3234 log-prod_binary64_3233 pow-base-0_binary64_3231 unpow1/3_binary64_3214 exp-to-pow_binary64_3209 pow-base-1_binary64_3207 unpow0_binary64_3206 unpow-1_binary64_3204 exp-lft-cube_binary64_3203 exp-lft-sqr_binary64_3202 exp-cbrt_binary64_3201 exp-sqrt_binary64_3200 exp-prod_binary64_3199 div-exp_binary64_3198 rec-exp_binary64_3197 prod-exp_binary64_3196 exp-diff_binary64_3195 exp-neg_binary64_3194 exp-sum_binary64_3193 e-exp-1_binary64_3192 exp-1-e_binary64_3190 exp-0_binary64_3189 rem-log-exp_binary64_3188 rem-exp-log_binary64_3187 cube-mult_binary64_3177 cube-div_binary64_3176 cube-neg_binary64_3174 rem-3cbrt-rft_binary64_3173 rem-3cbrt-lft_binary64_3172 rem-cbrt-cube_binary64_3171 rem-cube-cbrt_binary64_3170 sqr-abs_binary64_3162 sqr-neg_binary64_3161 rem-sqrt-square_binary64_3160 rem-square-sqrt_binary64_3159 times-frac_binary64_3153 div-sub_binary64_3152 neg-mul-1_binary64_3143 neg-sub0_binary64_3142 unsub-neg_binary64_3141 sub-neg_binary64_3140 mul-1-neg_binary64_3139 remove-double-neg_binary64_3135 sub0-neg_binary64_3134 --rgt-identity_binary64_3133 +-rgt-identity_binary64_3132 +-lft-identity_binary64_3131 mul0-rgt_binary64_3130 mul0-lft_binary64_3129 div0_binary64_3128 *-inverses_binary64_3127 +-inverses_binary64_3126 lft-mult-inverse_binary64_3125 rgt-mult-inverse_binary64_3124 remove-double-div_binary64_3123 difference-of-sqr--1_binary64_3118 difference-of-sqr-1_binary64_3117 difference-of-squares_binary64_3116 cancel-sign-sub-inv_binary64_3113 cancel-sign-sub_binary64_3112 distribute-neg-frac_binary64_3111 distribute-frac-neg_binary64_3110 distribute-neg-out_binary64_3109 distribute-neg-in_binary64_3108 distribute-rgt-neg-out_binary64_3107 distribute-lft-neg-out_binary64_3106 distribute-rgt-neg-in_binary64_3105 distribute-lft-neg-in_binary64_3104 distribute-lft1-in_binary64_3102 distribute-rgt-out--_binary64_3101 distribute-lft-out--_binary64_3099 count-2_binary64_3095 associate-/l/_binary64_3094 associate--r-_binary64_3086 associate--l-_binary64_3085 associate--l+_binary64_3084 associate--r+_binary64_3083 associate-+l-_binary64_3082 associate-+r-_binary64_3081 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 256 |
| 1 | 133 | 160 |
| 2 | 489 | 115 |
| 3 | 1780 | 106 |
| 4 | 3058 | 106 |
| 5 | 3882 | 106 |
| 6 | 4227 | 106 |
| 7 | 5240 | 106 |
2 alts after pruning (2 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 1 | 1 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 0 | 2 | 2 |
Compiled 315 to 160 computations (49.2% saved)
Found 4 expressions with local error:
| 0.1b | (*.f64 (*.f64 x x) (*.f64 x x)) |
| 0.2b | (*.f64 (*.f64 2 825478423409049/4611686018427387904) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))) |
| 13.0b | (*.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 3782789308857969/36028797018963968 (*.f64 x x))) (*.f64 763919671262763/18014398509481984 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 8375303961237363/1152921504606846976 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 583843369866023/1152921504606846976 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 825478423409049/4611686018427387904 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1737369620307813/2251799813685248 (*.f64 x x))) (*.f64 2620859570069187/9007199254740992 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 2502400853142105/36028797018963968 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 2017691060547333/144115188075855872 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 7681173503746455/9223372036854775808 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 2 825478423409049/4611686018427387904) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) x) |
| 27.8b | (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 3782789308857969/36028797018963968 (*.f64 x x))) (*.f64 763919671262763/18014398509481984 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 8375303961237363/1152921504606846976 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 583843369866023/1152921504606846976 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 825478423409049/4611686018427387904 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1737369620307813/2251799813685248 (*.f64 x x))) (*.f64 2620859570069187/9007199254740992 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 2502400853142105/36028797018963968 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 2017691060547333/144115188075855872 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 7681173503746455/9223372036854775808 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 2 825478423409049/4611686018427387904) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) |
| 1× | rewrite-expression-head |
| 1910× | pow1_binary64_3208 |
| 1816× | add-exp-log_binary64_3185 add-cbrt-cube_binary64_3183 |
| 1627× | pow-prod-down_binary64_3218 |
| 1613× | prod-exp_binary64_3196 cbrt-unprod_binary64_3180 |
| 36× | pow-prod-up_binary64_3217 |
| 25× | add-sqr-sqrt_binary64_3169 |
| 22× | pow-sqr_binary64_3120 |
| 20× | add-cube-cbrt_binary64_3182 *-un-lft-identity_binary64_3147 |
| 19× | times-frac_binary64_3153 |
| 18× | pow-plus_binary64_3210 |
| 17× | associate-*l*_binary64_3088 |
| 13× | pow2_binary64_3228 |
| 5× | associate-*r*_binary64_3087 |
| 4× | add-log-exp_binary64_3186 associate-/r/_binary64_3093 |
| 3× | flip3-+_binary64_3150 flip-+_binary64_3121 associate-/l*_binary64_3092 associate-/r*_binary64_3091 unswap-sqr_binary64_3115 *-commutative_binary64_3078 |
| 2× | div-exp_binary64_3198 cbrt-undiv_binary64_3181 div-inv_binary64_3144 associate-/l/_binary64_3094 |
| 1× | frac-2neg_binary64_3158 clear-num_binary64_3146 associate-*l/_binary64_3090 swap-sqr_binary64_3114 |
4 calls:
| 2.8s | (*.f64 (*.f64 2 825478423409049/4611686018427387904) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))) |
| 98.0ms | (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 3782789308857969/36028797018963968 (*.f64 x x))) (*.f64 763919671262763/18014398509481984 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 8375303961237363/1152921504606846976 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 583843369866023/1152921504606846976 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 825478423409049/4611686018427387904 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1737369620307813/2251799813685248 (*.f64 x x))) (*.f64 2620859570069187/9007199254740992 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 2502400853142105/36028797018963968 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 2017691060547333/144115188075855872 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 7681173503746455/9223372036854775808 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 2 825478423409049/4611686018427387904) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) |
| 75.0ms | (*.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 3782789308857969/36028797018963968 (*.f64 x x))) (*.f64 763919671262763/18014398509481984 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 8375303961237363/1152921504606846976 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 583843369866023/1152921504606846976 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 825478423409049/4611686018427387904 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1737369620307813/2251799813685248 (*.f64 x x))) (*.f64 2620859570069187/9007199254740992 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 2502400853142105/36028797018963968 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 2017691060547333/144115188075855872 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 7681173503746455/9223372036854775808 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 2 825478423409049/4611686018427387904) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) x) |
| 10.0ms | (*.f64 (*.f64 x x) (*.f64 x x)) |
Compiled 144784 to 33191 computations (77.1% saved)
4 calls:
| 347.0ms | (*.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 3782789308857969/36028797018963968 (*.f64 x x))) (*.f64 763919671262763/18014398509481984 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 8375303961237363/1152921504606846976 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 583843369866023/1152921504606846976 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 825478423409049/4611686018427387904 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1737369620307813/2251799813685248 (*.f64 x x))) (*.f64 2620859570069187/9007199254740992 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 2502400853142105/36028797018963968 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 2017691060547333/144115188075855872 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 7681173503746455/9223372036854775808 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 2 825478423409049/4611686018427387904) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) x) |
| 290.0ms | (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 3782789308857969/36028797018963968 (*.f64 x x))) (*.f64 763919671262763/18014398509481984 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 8375303961237363/1152921504606846976 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 583843369866023/1152921504606846976 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 825478423409049/4611686018427387904 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1737369620307813/2251799813685248 (*.f64 x x))) (*.f64 2620859570069187/9007199254740992 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 2502400853142105/36028797018963968 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 2017691060547333/144115188075855872 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 7681173503746455/9223372036854775808 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 2 825478423409049/4611686018427387904) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) |
| 90.0ms | (*.f64 (*.f64 2 825478423409049/4611686018427387904) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))) |
| 69.0ms | (*.f64 (*.f64 x x) (*.f64 x x)) |
Compiled 3524 to 1384 computations (60.7% saved)
| 1× | egg-herbie |
| 640× | associate-*l*_binary64_3088 |
| 534× | associate-*r*_binary64_3087 |
| 500× | cancel-sign-sub-inv_binary64_3113 |
| 374× | associate-+l+_binary64_3080 |
| 251× | unswap-sqr_binary64_3115 |
| 204× | log-prod_binary64_3233 |
| 177× | associate-+r+_binary64_3079 |
| 164× | *-commutative_binary64_3078 |
| 124× | distribute-rgt-in_binary64_3097 |
| 111× | distribute-lft-in_binary64_3096 |
| 106× | distribute-neg-in_binary64_3108 |
| 102× | times-frac_binary64_3153 |
| 97× | swap-sqr_binary64_3114 |
| 93× | +-commutative_binary64_3077 |
| 74× | cube-prod_binary64_3175 sub-neg_binary64_3140 |
| 64× | exp-prod_binary64_3199 |
| 52× | associate-*l/_binary64_3090 |
| 51× | sqr-pow_binary64_3119 |
| 41× | neg-mul-1_binary64_3143 neg-sub0_binary64_3142 |
| 37× | associate-/r*_binary64_3091 |
| 36× | associate-*r/_binary64_3089 |
| 34× | associate-/l*_binary64_3092 |
| 22× | unsub-neg_binary64_3141 |
| 20× | log-pow_binary64_3236 distribute-rgt-neg-in_binary64_3105 associate--l+_binary64_3084 |
| 18× | associate--r+_binary64_3083 |
| 17× | distribute-lft-neg-in_binary64_3104 associate-/l/_binary64_3094 |
| 12× | log-div_binary64_3234 pow-plus_binary64_3210 cube-unmult_binary64_3184 pow-sqr_binary64_3120 |
| 11× | *-rgt-identity_binary64_3137 distribute-rgt-out_binary64_3100 |
| 7× | unpow3_binary64_3213 associate-/r/_binary64_3093 |
| 6× | cube-mult_binary64_3177 *-lft-identity_binary64_3136 distribute-rgt-out--_binary64_3101 |
| 5× | cube-div_binary64_3176 /-rgt-identity_binary64_3138 |
| 3× | div-sub_binary64_3152 distribute-lft-neg-out_binary64_3106 count-2_binary64_3095 associate-+l-_binary64_3082 associate-+r-_binary64_3081 |
| 2× | rem-sqrt-square_binary64_3160 distribute-rgt1-in_binary64_3103 distribute-lft-out_binary64_3098 |
| 1× | unpow2_binary64_3212 unpow1/2_binary64_3211 unpow1_binary64_3205 1-exp_binary64_3191 exp-1-e_binary64_3190 difference-of-squares_binary64_3116 distribute-neg-frac_binary64_3111 distribute-lft1-in_binary64_3102 |
| 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_3410 erf-erfc_binary64_3409 erf-odd_binary64_3408 if-if-and-not_binary64_3407 if-if-and_binary64_3406 if-if-or-not_binary64_3405 if-if-or_binary64_3404 if-not_binary64_3403 if-same_binary64_3402 if-false_binary64_3401 if-true_binary64_3400 not-gte_binary64_3399 not-lte_binary64_3398 not-gt_binary64_3397 not-lt_binary64_3396 gte-same_binary64_3395 lte-same_binary64_3394 gt-same_binary64_3393 lt-same_binary64_3392 sinh---cosh_binary64_3339 sinh-+-cosh_binary64_3338 sinh-cosh_binary64_3337 tanh-def-c_binary64_3336 tanh-def-b_binary64_3335 tanh-def-a_binary64_3334 cosh-def_binary64_3333 sinh-def_binary64_3332 tan-neg_binary64_3279 cos-neg_binary64_3278 sin-neg_binary64_3277 tan-0_binary64_3276 cos-0_binary64_3275 sin-0_binary64_3274 hang-m-tan_binary64_3273 hang-p-tan_binary64_3272 hang-m0-tan_binary64_3271 hang-p0-tan_binary64_3270 hang-0m-tan_binary64_3269 hang-0p-tan_binary64_3268 tan-+PI/2_binary64_3267 tan-+PI_binary64_3266 tan-PI_binary64_3265 tan-PI/3_binary64_3264 tan-PI/4_binary64_3263 tan-PI/6_binary64_3262 cos-+PI/2_binary64_3261 cos-+PI_binary64_3260 cos-PI_binary64_3259 cos-PI/2_binary64_3258 cos-PI/3_binary64_3257 cos-PI/4_binary64_3256 cos-PI/6_binary64_3255 sin-+PI/2_binary64_3254 sin-+PI_binary64_3253 sin-PI_binary64_3252 sin-PI/2_binary64_3251 sin-PI/3_binary64_3250 sin-PI/4_binary64_3249 sin-PI/6_binary64_3248 sub-1-sin_binary64_3247 sub-1-cos_binary64_3246 -1-add-sin_binary64_3245 -1-add-cos_binary64_3244 1-sub-sin_binary64_3243 1-sub-cos_binary64_3242 cos-sin-sum_binary64_3241 log-E_binary64_3237 log-rec_binary64_3235 pow-base-0_binary64_3231 unpow1/3_binary64_3214 exp-to-pow_binary64_3209 pow-base-1_binary64_3207 unpow0_binary64_3206 unpow-1_binary64_3204 exp-lft-cube_binary64_3203 exp-lft-sqr_binary64_3202 exp-cbrt_binary64_3201 exp-sqrt_binary64_3200 div-exp_binary64_3198 rec-exp_binary64_3197 prod-exp_binary64_3196 exp-diff_binary64_3195 exp-neg_binary64_3194 exp-sum_binary64_3193 e-exp-1_binary64_3192 exp-0_binary64_3189 rem-log-exp_binary64_3188 rem-exp-log_binary64_3187 cube-neg_binary64_3174 rem-3cbrt-rft_binary64_3173 rem-3cbrt-lft_binary64_3172 rem-cbrt-cube_binary64_3171 rem-cube-cbrt_binary64_3170 sqr-abs_binary64_3162 sqr-neg_binary64_3161 rem-square-sqrt_binary64_3159 mul-1-neg_binary64_3139 remove-double-neg_binary64_3135 sub0-neg_binary64_3134 --rgt-identity_binary64_3133 +-rgt-identity_binary64_3132 +-lft-identity_binary64_3131 mul0-rgt_binary64_3130 mul0-lft_binary64_3129 div0_binary64_3128 *-inverses_binary64_3127 +-inverses_binary64_3126 lft-mult-inverse_binary64_3125 rgt-mult-inverse_binary64_3124 remove-double-div_binary64_3123 difference-of-sqr--1_binary64_3118 difference-of-sqr-1_binary64_3117 cancel-sign-sub_binary64_3112 distribute-frac-neg_binary64_3110 distribute-neg-out_binary64_3109 distribute-rgt-neg-out_binary64_3107 distribute-lft-out--_binary64_3099 associate--r-_binary64_3086 associate--l-_binary64_3085 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 864 | 17578 |
| 1 | 761 | 15348 |
| 2 | 3042 | 14424 |
| 3 | 4980 | 14424 |
| 4 | 5058 | 14424 |
5 alts after pruning (5 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 698 | 5 | 703 |
| Fresh | 1 | 0 | 1 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 700 | 5 | 705 |
Compiled 107569 to 32148 computations (70.1% saved)
Found 4 expressions with local error:
| 0.2b | (*.f64 825478423409049/2305843009213693952 (pow.f64 x 12)) |
| 9.4b | (cbrt.f64 (pow.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 (*.f64 x x) 3782789308857969/36028797018963968)) (*.f64 (pow.f64 x 4) 763919671262763/18014398509481984)) (*.f64 (pow.f64 x 6) 8375303961237363/1152921504606846976)) (*.f64 583843369866023/1152921504606846976 (pow.f64 x 8))) (*.f64 825478423409049/4611686018427387904 (pow.f64 x 10))) (+.f64 (*.f64 825478423409049/2305843009213693952 (pow.f64 x 12)) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 (*.f64 x x) 1737369620307813/2251799813685248)) (*.f64 (pow.f64 x 4) 2620859570069187/9007199254740992)) (*.f64 (pow.f64 x 6) 2502400853142105/36028797018963968)) (*.f64 (pow.f64 x 8) 2017691060547333/144115188075855872)) (*.f64 (pow.f64 x 10) 7681173503746455/9223372036854775808)))) 3)) |
| 13.0b | (*.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 (*.f64 x x) 3782789308857969/36028797018963968)) (*.f64 (pow.f64 x 4) 763919671262763/18014398509481984)) (*.f64 (pow.f64 x 6) 8375303961237363/1152921504606846976)) (*.f64 583843369866023/1152921504606846976 (pow.f64 x 8))) (*.f64 825478423409049/4611686018427387904 (pow.f64 x 10))) (+.f64 (*.f64 825478423409049/2305843009213693952 (pow.f64 x 12)) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 (*.f64 x x) 1737369620307813/2251799813685248)) (*.f64 (pow.f64 x 4) 2620859570069187/9007199254740992)) (*.f64 (pow.f64 x 6) 2502400853142105/36028797018963968)) (*.f64 (pow.f64 x 8) 2017691060547333/144115188075855872)) (*.f64 (pow.f64 x 10) 7681173503746455/9223372036854775808)))) 3)) x) |
| 27.8b | (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 (*.f64 x x) 3782789308857969/36028797018963968)) (*.f64 (pow.f64 x 4) 763919671262763/18014398509481984)) (*.f64 (pow.f64 x 6) 8375303961237363/1152921504606846976)) (*.f64 583843369866023/1152921504606846976 (pow.f64 x 8))) (*.f64 825478423409049/4611686018427387904 (pow.f64 x 10))) (+.f64 (*.f64 825478423409049/2305843009213693952 (pow.f64 x 12)) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 (*.f64 x x) 1737369620307813/2251799813685248)) (*.f64 (pow.f64 x 4) 2620859570069187/9007199254740992)) (*.f64 (pow.f64 x 6) 2502400853142105/36028797018963968)) (*.f64 (pow.f64 x 8) 2017691060547333/144115188075855872)) (*.f64 (pow.f64 x 10) 7681173503746455/9223372036854775808)))) |
| 1× | rewrite-expression-head |
| 78× | cbrt-prod_binary64_3178 |
| 67× | add-sqr-sqrt_binary64_3169 |
| 47× | add-cube-cbrt_binary64_3182 times-frac_binary64_3153 *-un-lft-identity_binary64_3147 |
| 42× | associate-*l*_binary64_3088 |
| 36× | unpow-prod-down_binary64_3226 |
| 32× | cube-prod_binary64_3175 |
| 13× | add-exp-log_binary64_3185 |
| 10× | associate-/r/_binary64_3093 unswap-sqr_binary64_3115 associate-*r*_binary64_3087 |
| 9× | add-cbrt-cube_binary64_3183 |
| 6× | pow1_binary64_3208 flip3-+_binary64_3150 flip-+_binary64_3121 |
| 5× | div-inv_binary64_3144 sqr-pow_binary64_3119 |
| 4× | add-log-exp_binary64_3186 prod-exp_binary64_3196 |
| 3× | associate-/l*_binary64_3092 associate-/r*_binary64_3091 |
| 2× | associate-/l/_binary64_3094 cbrt-unprod_binary64_3180 cube-div_binary64_3176 cbrt-div_binary64_3179 unpow3_binary64_3213 cube-mult_binary64_3177 *-commutative_binary64_3078 |
| 1× | div-exp_binary64_3198 cbrt-undiv_binary64_3181 frac-2neg_binary64_3158 clear-num_binary64_3146 pow-prod-down_binary64_3218 associate-*l/_binary64_3090 pow1/3_binary64_3229 rem-cbrt-cube_binary64_3171 pow-to-exp_binary64_3216 pow-exp_binary64_3215 |
4 calls:
| 38.0ms | (*.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 (*.f64 x x) 3782789308857969/36028797018963968)) (*.f64 (pow.f64 x 4) 763919671262763/18014398509481984)) (*.f64 (pow.f64 x 6) 8375303961237363/1152921504606846976)) (*.f64 583843369866023/1152921504606846976 (pow.f64 x 8))) (*.f64 825478423409049/4611686018427387904 (pow.f64 x 10))) (+.f64 (*.f64 825478423409049/2305843009213693952 (pow.f64 x 12)) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 (*.f64 x x) 1737369620307813/2251799813685248)) (*.f64 (pow.f64 x 4) 2620859570069187/9007199254740992)) (*.f64 (pow.f64 x 6) 2502400853142105/36028797018963968)) (*.f64 (pow.f64 x 8) 2017691060547333/144115188075855872)) (*.f64 (pow.f64 x 10) 7681173503746455/9223372036854775808)))) 3)) x) |
| 32.0ms | (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 (*.f64 x x) 3782789308857969/36028797018963968)) (*.f64 (pow.f64 x 4) 763919671262763/18014398509481984)) (*.f64 (pow.f64 x 6) 8375303961237363/1152921504606846976)) (*.f64 583843369866023/1152921504606846976 (pow.f64 x 8))) (*.f64 825478423409049/4611686018427387904 (pow.f64 x 10))) (+.f64 (*.f64 825478423409049/2305843009213693952 (pow.f64 x 12)) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 (*.f64 x x) 1737369620307813/2251799813685248)) (*.f64 (pow.f64 x 4) 2620859570069187/9007199254740992)) (*.f64 (pow.f64 x 6) 2502400853142105/36028797018963968)) (*.f64 (pow.f64 x 8) 2017691060547333/144115188075855872)) (*.f64 (pow.f64 x 10) 7681173503746455/9223372036854775808)))) |
| 31.0ms | (cbrt.f64 (pow.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 (*.f64 x x) 3782789308857969/36028797018963968)) (*.f64 (pow.f64 x 4) 763919671262763/18014398509481984)) (*.f64 (pow.f64 x 6) 8375303961237363/1152921504606846976)) (*.f64 583843369866023/1152921504606846976 (pow.f64 x 8))) (*.f64 825478423409049/4611686018427387904 (pow.f64 x 10))) (+.f64 (*.f64 825478423409049/2305843009213693952 (pow.f64 x 12)) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 (*.f64 x x) 1737369620307813/2251799813685248)) (*.f64 (pow.f64 x 4) 2620859570069187/9007199254740992)) (*.f64 (pow.f64 x 6) 2502400853142105/36028797018963968)) (*.f64 (pow.f64 x 8) 2017691060547333/144115188075855872)) (*.f64 (pow.f64 x 10) 7681173503746455/9223372036854775808)))) 3)) |
| 6.0ms | (*.f64 825478423409049/2305843009213693952 (pow.f64 x 12)) |
Compiled 21248 to 16800 computations (20.9% saved)
4 calls:
| 303.0ms | (*.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 (*.f64 x x) 3782789308857969/36028797018963968)) (*.f64 (pow.f64 x 4) 763919671262763/18014398509481984)) (*.f64 (pow.f64 x 6) 8375303961237363/1152921504606846976)) (*.f64 583843369866023/1152921504606846976 (pow.f64 x 8))) (*.f64 825478423409049/4611686018427387904 (pow.f64 x 10))) (+.f64 (*.f64 825478423409049/2305843009213693952 (pow.f64 x 12)) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 (*.f64 x x) 1737369620307813/2251799813685248)) (*.f64 (pow.f64 x 4) 2620859570069187/9007199254740992)) (*.f64 (pow.f64 x 6) 2502400853142105/36028797018963968)) (*.f64 (pow.f64 x 8) 2017691060547333/144115188075855872)) (*.f64 (pow.f64 x 10) 7681173503746455/9223372036854775808)))) 3)) x) |
| 269.0ms | (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 (*.f64 x x) 3782789308857969/36028797018963968)) (*.f64 (pow.f64 x 4) 763919671262763/18014398509481984)) (*.f64 (pow.f64 x 6) 8375303961237363/1152921504606846976)) (*.f64 583843369866023/1152921504606846976 (pow.f64 x 8))) (*.f64 825478423409049/4611686018427387904 (pow.f64 x 10))) (+.f64 (*.f64 825478423409049/2305843009213693952 (pow.f64 x 12)) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 (*.f64 x x) 1737369620307813/2251799813685248)) (*.f64 (pow.f64 x 4) 2620859570069187/9007199254740992)) (*.f64 (pow.f64 x 6) 2502400853142105/36028797018963968)) (*.f64 (pow.f64 x 8) 2017691060547333/144115188075855872)) (*.f64 (pow.f64 x 10) 7681173503746455/9223372036854775808)))) |
| 259.0ms | (cbrt.f64 (pow.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 (*.f64 x x) 3782789308857969/36028797018963968)) (*.f64 (pow.f64 x 4) 763919671262763/18014398509481984)) (*.f64 (pow.f64 x 6) 8375303961237363/1152921504606846976)) (*.f64 583843369866023/1152921504606846976 (pow.f64 x 8))) (*.f64 825478423409049/4611686018427387904 (pow.f64 x 10))) (+.f64 (*.f64 825478423409049/2305843009213693952 (pow.f64 x 12)) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 (*.f64 x x) 1737369620307813/2251799813685248)) (*.f64 (pow.f64 x 4) 2620859570069187/9007199254740992)) (*.f64 (pow.f64 x 6) 2502400853142105/36028797018963968)) (*.f64 (pow.f64 x 8) 2017691060547333/144115188075855872)) (*.f64 (pow.f64 x 10) 7681173503746455/9223372036854775808)))) 3)) |
| 88.0ms | (*.f64 825478423409049/2305843009213693952 (pow.f64 x 12)) |
Compiled 1734 to 1456 computations (16% saved)
| 1× | egg-herbie |
| 274× | unswap-sqr_binary64_3115 |
| 248× | cancel-sign-sub-inv_binary64_3113 |
| 245× | associate-/l/_binary64_3094 |
| 173× | associate-*l*_binary64_3088 |
| 169× | log-prod_binary64_3233 |
| 159× | associate-*r*_binary64_3087 |
| 141× | sqr-pow_binary64_3119 |
| 139× | distribute-neg-in_binary64_3108 distribute-rgt-in_binary64_3097 |
| 127× | distribute-lft-in_binary64_3096 |
| 118× | *-commutative_binary64_3078 |
| 100× | distribute-rgt-neg-in_binary64_3105 |
| 91× | distribute-lft-neg-in_binary64_3104 |
| 87× | associate-*l/_binary64_3090 |
| 83× | sub-neg_binary64_3140 |
| 81× | exp-prod_binary64_3199 |
| 80× | unpow3_binary64_3213 |
| 78× | cube-div_binary64_3176 associate-*r/_binary64_3089 |
| 67× | +-commutative_binary64_3077 |
| 66× | cube-mult_binary64_3177 |
| 62× | associate-+l+_binary64_3080 |
| 55× | associate-/l*_binary64_3092 |
| 49× | cube-prod_binary64_3175 |
| 39× | log-div_binary64_3234 |
| 38× | neg-mul-1_binary64_3143 neg-sub0_binary64_3142 |
| 37× | associate-+r+_binary64_3079 |
| 34× | swap-sqr_binary64_3114 |
| 33× | log-pow_binary64_3236 associate-/r*_binary64_3091 |
| 30× | distribute-rgt-out_binary64_3100 |
| 27× | associate--r+_binary64_3083 |
| 26× | rem-cbrt-cube_binary64_3171 |
| 24× | *-rgt-identity_binary64_3137 |
| 23× | times-frac_binary64_3153 |
| 22× | unsub-neg_binary64_3141 distribute-lft-neg-out_binary64_3106 |
| 20× | associate--l+_binary64_3084 |
| 16× | *-lft-identity_binary64_3136 |
| 15× | pow-plus_binary64_3210 cube-unmult_binary64_3184 |
| 14× | distribute-rgt-neg-out_binary64_3107 distribute-rgt-out--_binary64_3101 |
| 12× | rem-sqrt-square_binary64_3160 distribute-lft-out_binary64_3098 |
| 9× | pow-sqr_binary64_3120 |
| 7× | associate-/r/_binary64_3093 |
| 4× | /-rgt-identity_binary64_3138 |
| 3× | rem-cube-cbrt_binary64_3170 rem-square-sqrt_binary64_3159 div-sub_binary64_3152 distribute-lft-out--_binary64_3099 associate-+l-_binary64_3082 associate-+r-_binary64_3081 |
| 2× | unpow1/2_binary64_3211 count-2_binary64_3095 |
| 1× | log-rec_binary64_3235 unpow2_binary64_3212 unpow1_binary64_3205 1-exp_binary64_3191 exp-1-e_binary64_3190 rem-3cbrt-lft_binary64_3172 difference-of-squares_binary64_3116 distribute-neg-frac_binary64_3111 distribute-rgt1-in_binary64_3103 |
| 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_3410 erf-erfc_binary64_3409 erf-odd_binary64_3408 if-if-and-not_binary64_3407 if-if-and_binary64_3406 if-if-or-not_binary64_3405 if-if-or_binary64_3404 if-not_binary64_3403 if-same_binary64_3402 if-false_binary64_3401 if-true_binary64_3400 not-gte_binary64_3399 not-lte_binary64_3398 not-gt_binary64_3397 not-lt_binary64_3396 gte-same_binary64_3395 lte-same_binary64_3394 gt-same_binary64_3393 lt-same_binary64_3392 sinh---cosh_binary64_3339 sinh-+-cosh_binary64_3338 sinh-cosh_binary64_3337 tanh-def-c_binary64_3336 tanh-def-b_binary64_3335 tanh-def-a_binary64_3334 cosh-def_binary64_3333 sinh-def_binary64_3332 tan-neg_binary64_3279 cos-neg_binary64_3278 sin-neg_binary64_3277 tan-0_binary64_3276 cos-0_binary64_3275 sin-0_binary64_3274 hang-m-tan_binary64_3273 hang-p-tan_binary64_3272 hang-m0-tan_binary64_3271 hang-p0-tan_binary64_3270 hang-0m-tan_binary64_3269 hang-0p-tan_binary64_3268 tan-+PI/2_binary64_3267 tan-+PI_binary64_3266 tan-PI_binary64_3265 tan-PI/3_binary64_3264 tan-PI/4_binary64_3263 tan-PI/6_binary64_3262 cos-+PI/2_binary64_3261 cos-+PI_binary64_3260 cos-PI_binary64_3259 cos-PI/2_binary64_3258 cos-PI/3_binary64_3257 cos-PI/4_binary64_3256 cos-PI/6_binary64_3255 sin-+PI/2_binary64_3254 sin-+PI_binary64_3253 sin-PI_binary64_3252 sin-PI/2_binary64_3251 sin-PI/3_binary64_3250 sin-PI/4_binary64_3249 sin-PI/6_binary64_3248 sub-1-sin_binary64_3247 sub-1-cos_binary64_3246 -1-add-sin_binary64_3245 -1-add-cos_binary64_3244 1-sub-sin_binary64_3243 1-sub-cos_binary64_3242 cos-sin-sum_binary64_3241 log-E_binary64_3237 pow-base-0_binary64_3231 unpow1/3_binary64_3214 exp-to-pow_binary64_3209 pow-base-1_binary64_3207 unpow0_binary64_3206 unpow-1_binary64_3204 exp-lft-cube_binary64_3203 exp-lft-sqr_binary64_3202 exp-cbrt_binary64_3201 exp-sqrt_binary64_3200 div-exp_binary64_3198 rec-exp_binary64_3197 prod-exp_binary64_3196 exp-diff_binary64_3195 exp-neg_binary64_3194 exp-sum_binary64_3193 e-exp-1_binary64_3192 exp-0_binary64_3189 rem-log-exp_binary64_3188 rem-exp-log_binary64_3187 cube-neg_binary64_3174 rem-3cbrt-rft_binary64_3173 sqr-abs_binary64_3162 sqr-neg_binary64_3161 mul-1-neg_binary64_3139 remove-double-neg_binary64_3135 sub0-neg_binary64_3134 --rgt-identity_binary64_3133 +-rgt-identity_binary64_3132 +-lft-identity_binary64_3131 mul0-rgt_binary64_3130 mul0-lft_binary64_3129 div0_binary64_3128 *-inverses_binary64_3127 +-inverses_binary64_3126 lft-mult-inverse_binary64_3125 rgt-mult-inverse_binary64_3124 remove-double-div_binary64_3123 difference-of-sqr--1_binary64_3118 difference-of-sqr-1_binary64_3117 cancel-sign-sub_binary64_3112 distribute-frac-neg_binary64_3110 distribute-neg-out_binary64_3109 distribute-lft1-in_binary64_3102 associate--r-_binary64_3086 associate--l-_binary64_3085 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 312 | 21427 |
| 1 | 795 | 19879 |
| 2 | 2823 | 19255 |
| 3 | 4712 | 19255 |
| 4 | 4984 | 19255 |
| 5 | 4960 | 19255 |
5 alts after pruning (4 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 151 | 0 | 151 |
| Fresh | 0 | 4 | 4 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 151 | 5 | 156 |
Compiled 16012 to 12572 computations (21.5% saved)
Found 4 expressions with local error:
| 4.3b | (sqrt.f64 (+.f64 (*.f64 825478423409049/2305843009213693952 (pow.f64 x 12)) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 (*.f64 x x) 1737369620307813/2251799813685248)) (*.f64 (pow.f64 x 4) 2620859570069187/9007199254740992)) (*.f64 (pow.f64 x 6) 2502400853142105/36028797018963968)) (*.f64 (pow.f64 x 8) 2017691060547333/144115188075855872)) (*.f64 (pow.f64 x 10) 7681173503746455/9223372036854775808)))) |
| 13.0b | (*.f64 (*.f64 (/.f64 1 (sqrt.f64 (+.f64 (*.f64 825478423409049/2305843009213693952 (pow.f64 x 12)) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 (*.f64 x x) 1737369620307813/2251799813685248)) (*.f64 (pow.f64 x 4) 2620859570069187/9007199254740992)) (*.f64 (pow.f64 x 6) 2502400853142105/36028797018963968)) (*.f64 (pow.f64 x 8) 2017691060547333/144115188075855872)) (*.f64 (pow.f64 x 10) 7681173503746455/9223372036854775808))))) (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 (*.f64 x x) 3782789308857969/36028797018963968)) (*.f64 (pow.f64 x 4) 763919671262763/18014398509481984)) (*.f64 (pow.f64 x 6) 8375303961237363/1152921504606846976)) (*.f64 583843369866023/1152921504606846976 (pow.f64 x 8))) (*.f64 825478423409049/4611686018427387904 (pow.f64 x 10))) (sqrt.f64 (+.f64 (*.f64 825478423409049/2305843009213693952 (pow.f64 x 12)) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 (*.f64 x x) 1737369620307813/2251799813685248)) (*.f64 (pow.f64 x 4) 2620859570069187/9007199254740992)) (*.f64 (pow.f64 x 6) 2502400853142105/36028797018963968)) (*.f64 (pow.f64 x 8) 2017691060547333/144115188075855872)) (*.f64 (pow.f64 x 10) 7681173503746455/9223372036854775808)))))) x) |
| 22.5b | (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 (*.f64 x x) 3782789308857969/36028797018963968)) (*.f64 (pow.f64 x 4) 763919671262763/18014398509481984)) (*.f64 (pow.f64 x 6) 8375303961237363/1152921504606846976)) (*.f64 583843369866023/1152921504606846976 (pow.f64 x 8))) (*.f64 825478423409049/4611686018427387904 (pow.f64 x 10))) (sqrt.f64 (+.f64 (*.f64 825478423409049/2305843009213693952 (pow.f64 x 12)) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 (*.f64 x x) 1737369620307813/2251799813685248)) (*.f64 (pow.f64 x 4) 2620859570069187/9007199254740992)) (*.f64 (pow.f64 x 6) 2502400853142105/36028797018963968)) (*.f64 (pow.f64 x 8) 2017691060547333/144115188075855872)) (*.f64 (pow.f64 x 10) 7681173503746455/9223372036854775808))))) |
| 23.4b | (*.f64 (/.f64 1 (sqrt.f64 (+.f64 (*.f64 825478423409049/2305843009213693952 (pow.f64 x 12)) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 (*.f64 x x) 1737369620307813/2251799813685248)) (*.f64 (pow.f64 x 4) 2620859570069187/9007199254740992)) (*.f64 (pow.f64 x 6) 2502400853142105/36028797018963968)) (*.f64 (pow.f64 x 8) 2017691060547333/144115188075855872)) (*.f64 (pow.f64 x 10) 7681173503746455/9223372036854775808))))) (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 (*.f64 x x) 3782789308857969/36028797018963968)) (*.f64 (pow.f64 x 4) 763919671262763/18014398509481984)) (*.f64 (pow.f64 x 6) 8375303961237363/1152921504606846976)) (*.f64 583843369866023/1152921504606846976 (pow.f64 x 8))) (*.f64 825478423409049/4611686018427387904 (pow.f64 x 10))) (sqrt.f64 (+.f64 (*.f64 825478423409049/2305843009213693952 (pow.f64 x 12)) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 (*.f64 x x) 1737369620307813/2251799813685248)) (*.f64 (pow.f64 x 4) 2620859570069187/9007199254740992)) (*.f64 (pow.f64 x 6) 2502400853142105/36028797018963968)) (*.f64 (pow.f64 x 8) 2017691060547333/144115188075855872)) (*.f64 (pow.f64 x 10) 7681173503746455/9223372036854775808)))))) |
| 1× | rewrite-expression-head |
| 94× | add-sqr-sqrt_binary64_3169 |
| 76× | times-frac_binary64_3153 |
| 60× | add-exp-log_binary64_3185 |
| 53× | *-un-lft-identity_binary64_3147 |
| 47× | add-cube-cbrt_binary64_3182 |
| 44× | sqrt-prod_binary64_3163 |
| 36× | add-cbrt-cube_binary64_3183 |
| 27× | associate-*r*_binary64_3087 |
| 25× | prod-exp_binary64_3196 associate-*l*_binary64_3088 |
| 17× | div-exp_binary64_3198 |
| 15× | unswap-sqr_binary64_3115 |
| 13× | cbrt-unprod_binary64_3180 |
| 12× | pow1_binary64_3208 |
| 9× | cbrt-undiv_binary64_3181 |
| 8× | sqrt-div_binary64_3164 |
| 6× | associate-/r/_binary64_3093 associate-/r*_binary64_3091 |
| 5× | associate-*l/_binary64_3090 flip3-+_binary64_3150 flip-+_binary64_3121 |
| 4× | pow-prod-down_binary64_3218 1-exp_binary64_3191 rec-exp_binary64_3197 add-log-exp_binary64_3186 |
| 3× | div-inv_binary64_3144 associate-/l*_binary64_3092 |
| 2× | frac-times_binary64_3157 associate-*r/_binary64_3089 *-commutative_binary64_3078 associate-/l/_binary64_3094 |
| 1× | frac-2neg_binary64_3158 clear-num_binary64_3146 pow1/2_binary64_3227 sqrt-pow1_binary64_3165 rem-sqrt-square_binary64_3160 |
4 calls:
| 55.0ms | (*.f64 (/.f64 1 (sqrt.f64 (+.f64 (*.f64 825478423409049/2305843009213693952 (pow.f64 x 12)) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 (*.f64 x x) 1737369620307813/2251799813685248)) (*.f64 (pow.f64 x 4) 2620859570069187/9007199254740992)) (*.f64 (pow.f64 x 6) 2502400853142105/36028797018963968)) (*.f64 (pow.f64 x 8) 2017691060547333/144115188075855872)) (*.f64 (pow.f64 x 10) 7681173503746455/9223372036854775808))))) (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 (*.f64 x x) 3782789308857969/36028797018963968)) (*.f64 (pow.f64 x 4) 763919671262763/18014398509481984)) (*.f64 (pow.f64 x 6) 8375303961237363/1152921504606846976)) (*.f64 583843369866023/1152921504606846976 (pow.f64 x 8))) (*.f64 825478423409049/4611686018427387904 (pow.f64 x 10))) (sqrt.f64 (+.f64 (*.f64 825478423409049/2305843009213693952 (pow.f64 x 12)) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 (*.f64 x x) 1737369620307813/2251799813685248)) (*.f64 (pow.f64 x 4) 2620859570069187/9007199254740992)) (*.f64 (pow.f64 x 6) 2502400853142105/36028797018963968)) (*.f64 (pow.f64 x 8) 2017691060547333/144115188075855872)) (*.f64 (pow.f64 x 10) 7681173503746455/9223372036854775808)))))) |
| 52.0ms | (*.f64 (*.f64 (/.f64 1 (sqrt.f64 (+.f64 (*.f64 825478423409049/2305843009213693952 (pow.f64 x 12)) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 (*.f64 x x) 1737369620307813/2251799813685248)) (*.f64 (pow.f64 x 4) 2620859570069187/9007199254740992)) (*.f64 (pow.f64 x 6) 2502400853142105/36028797018963968)) (*.f64 (pow.f64 x 8) 2017691060547333/144115188075855872)) (*.f64 (pow.f64 x 10) 7681173503746455/9223372036854775808))))) (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 (*.f64 x x) 3782789308857969/36028797018963968)) (*.f64 (pow.f64 x 4) 763919671262763/18014398509481984)) (*.f64 (pow.f64 x 6) 8375303961237363/1152921504606846976)) (*.f64 583843369866023/1152921504606846976 (pow.f64 x 8))) (*.f64 825478423409049/4611686018427387904 (pow.f64 x 10))) (sqrt.f64 (+.f64 (*.f64 825478423409049/2305843009213693952 (pow.f64 x 12)) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 (*.f64 x x) 1737369620307813/2251799813685248)) (*.f64 (pow.f64 x 4) 2620859570069187/9007199254740992)) (*.f64 (pow.f64 x 6) 2502400853142105/36028797018963968)) (*.f64 (pow.f64 x 8) 2017691060547333/144115188075855872)) (*.f64 (pow.f64 x 10) 7681173503746455/9223372036854775808)))))) x) |
| 32.0ms | (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 (*.f64 x x) 3782789308857969/36028797018963968)) (*.f64 (pow.f64 x 4) 763919671262763/18014398509481984)) (*.f64 (pow.f64 x 6) 8375303961237363/1152921504606846976)) (*.f64 583843369866023/1152921504606846976 (pow.f64 x 8))) (*.f64 825478423409049/4611686018427387904 (pow.f64 x 10))) (sqrt.f64 (+.f64 (*.f64 825478423409049/2305843009213693952 (pow.f64 x 12)) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 (*.f64 x x) 1737369620307813/2251799813685248)) (*.f64 (pow.f64 x 4) 2620859570069187/9007199254740992)) (*.f64 (pow.f64 x 6) 2502400853142105/36028797018963968)) (*.f64 (pow.f64 x 8) 2017691060547333/144115188075855872)) (*.f64 (pow.f64 x 10) 7681173503746455/9223372036854775808))))) |
| 13.0ms | (sqrt.f64 (+.f64 (*.f64 825478423409049/2305843009213693952 (pow.f64 x 12)) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 (*.f64 x x) 1737369620307813/2251799813685248)) (*.f64 (pow.f64 x 4) 2620859570069187/9007199254740992)) (*.f64 (pow.f64 x 6) 2502400853142105/36028797018963968)) (*.f64 (pow.f64 x 8) 2017691060547333/144115188075855872)) (*.f64 (pow.f64 x 10) 7681173503746455/9223372036854775808)))) |
Compiled 31007 to 24572 computations (20.8% saved)
4 calls:
| 378.0ms | (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 (*.f64 x x) 3782789308857969/36028797018963968)) (*.f64 (pow.f64 x 4) 763919671262763/18014398509481984)) (*.f64 (pow.f64 x 6) 8375303961237363/1152921504606846976)) (*.f64 583843369866023/1152921504606846976 (pow.f64 x 8))) (*.f64 825478423409049/4611686018427387904 (pow.f64 x 10))) (sqrt.f64 (+.f64 (*.f64 825478423409049/2305843009213693952 (pow.f64 x 12)) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 (*.f64 x x) 1737369620307813/2251799813685248)) (*.f64 (pow.f64 x 4) 2620859570069187/9007199254740992)) (*.f64 (pow.f64 x 6) 2502400853142105/36028797018963968)) (*.f64 (pow.f64 x 8) 2017691060547333/144115188075855872)) (*.f64 (pow.f64 x 10) 7681173503746455/9223372036854775808))))) |
| 311.0ms | (*.f64 (*.f64 (/.f64 1 (sqrt.f64 (+.f64 (*.f64 825478423409049/2305843009213693952 (pow.f64 x 12)) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 (*.f64 x x) 1737369620307813/2251799813685248)) (*.f64 (pow.f64 x 4) 2620859570069187/9007199254740992)) (*.f64 (pow.f64 x 6) 2502400853142105/36028797018963968)) (*.f64 (pow.f64 x 8) 2017691060547333/144115188075855872)) (*.f64 (pow.f64 x 10) 7681173503746455/9223372036854775808))))) (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 (*.f64 x x) 3782789308857969/36028797018963968)) (*.f64 (pow.f64 x 4) 763919671262763/18014398509481984)) (*.f64 (pow.f64 x 6) 8375303961237363/1152921504606846976)) (*.f64 583843369866023/1152921504606846976 (pow.f64 x 8))) (*.f64 825478423409049/4611686018427387904 (pow.f64 x 10))) (sqrt.f64 (+.f64 (*.f64 825478423409049/2305843009213693952 (pow.f64 x 12)) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 (*.f64 x x) 1737369620307813/2251799813685248)) (*.f64 (pow.f64 x 4) 2620859570069187/9007199254740992)) (*.f64 (pow.f64 x 6) 2502400853142105/36028797018963968)) (*.f64 (pow.f64 x 8) 2017691060547333/144115188075855872)) (*.f64 (pow.f64 x 10) 7681173503746455/9223372036854775808)))))) x) |
| 267.0ms | (*.f64 (/.f64 1 (sqrt.f64 (+.f64 (*.f64 825478423409049/2305843009213693952 (pow.f64 x 12)) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 (*.f64 x x) 1737369620307813/2251799813685248)) (*.f64 (pow.f64 x 4) 2620859570069187/9007199254740992)) (*.f64 (pow.f64 x 6) 2502400853142105/36028797018963968)) (*.f64 (pow.f64 x 8) 2017691060547333/144115188075855872)) (*.f64 (pow.f64 x 10) 7681173503746455/9223372036854775808))))) (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 (*.f64 x x) 3782789308857969/36028797018963968)) (*.f64 (pow.f64 x 4) 763919671262763/18014398509481984)) (*.f64 (pow.f64 x 6) 8375303961237363/1152921504606846976)) (*.f64 583843369866023/1152921504606846976 (pow.f64 x 8))) (*.f64 825478423409049/4611686018427387904 (pow.f64 x 10))) (sqrt.f64 (+.f64 (*.f64 825478423409049/2305843009213693952 (pow.f64 x 12)) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 (*.f64 x x) 1737369620307813/2251799813685248)) (*.f64 (pow.f64 x 4) 2620859570069187/9007199254740992)) (*.f64 (pow.f64 x 6) 2502400853142105/36028797018963968)) (*.f64 (pow.f64 x 8) 2017691060547333/144115188075855872)) (*.f64 (pow.f64 x 10) 7681173503746455/9223372036854775808)))))) |
| 235.0ms | (sqrt.f64 (+.f64 (*.f64 825478423409049/2305843009213693952 (pow.f64 x 12)) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 (*.f64 x x) 1737369620307813/2251799813685248)) (*.f64 (pow.f64 x 4) 2620859570069187/9007199254740992)) (*.f64 (pow.f64 x 6) 2502400853142105/36028797018963968)) (*.f64 (pow.f64 x 8) 2017691060547333/144115188075855872)) (*.f64 (pow.f64 x 10) 7681173503746455/9223372036854775808)))) |
Compiled 4796 to 4028 computations (16% saved)
| 1× | egg-herbie |
| 371× | times-frac_binary64_3153 |
| 316× | associate-*r*_binary64_3087 |
| 303× | associate-*l*_binary64_3088 |
| 199× | *-commutative_binary64_3078 |
| 187× | distribute-rgt-in_binary64_3097 |
| 180× | sub-neg_binary64_3140 distribute-lft-in_binary64_3096 |
| 155× | associate-*l/_binary64_3090 |
| 154× | exp-prod_binary64_3199 |
| 145× | associate-*r/_binary64_3089 |
| 135× | +-commutative_binary64_3077 |
| 133× | associate-/l*_binary64_3092 |
| 123× | associate-+l+_binary64_3080 |
| 94× | associate-+r+_binary64_3079 |
| 76× | associate-/r*_binary64_3091 |
| 68× | exp-sum_binary64_3193 |
| 60× | neg-mul-1_binary64_3143 sqr-pow_binary64_3119 cancel-sign-sub-inv_binary64_3113 |
| 59× | neg-sub0_binary64_3142 associate--l+_binary64_3084 |
| 54× | log-prod_binary64_3233 |
| 52× | *-lft-identity_binary64_3136 |
| 51× | associate--r+_binary64_3083 |
| 47× | associate-/l/_binary64_3094 |
| 45× | unswap-sqr_binary64_3115 |
| 44× | unsub-neg_binary64_3141 |
| 36× | log-div_binary64_3234 |
| 34× | *-rgt-identity_binary64_3137 |
| 33× | unpow3_binary64_3213 |
| 27× | cube-prod_binary64_3175 distribute-neg-in_binary64_3108 |
| 23× | distribute-rgt-neg-in_binary64_3105 |
| 22× | cube-mult_binary64_3177 |
| 20× | swap-sqr_binary64_3114 |
| 19× | distribute-lft-neg-in_binary64_3104 |
| 15× | cube-unmult_binary64_3184 associate-+l-_binary64_3082 |
| 14× | /-rgt-identity_binary64_3138 associate-+r-_binary64_3081 |
| 11× | pow-plus_binary64_3210 cube-div_binary64_3176 |
| 9× | log-rec_binary64_3235 |
| 8× | associate-/r/_binary64_3093 |
| 5× | pow-sqr_binary64_3120 |
| 4× | unpow1/2_binary64_3211 sub0-neg_binary64_3134 +-rgt-identity_binary64_3132 |
| 3× | log-pow_binary64_3236 rem-sqrt-square_binary64_3160 rem-square-sqrt_binary64_3159 div-sub_binary64_3152 distribute-neg-frac_binary64_3111 distribute-lft-neg-out_binary64_3106 distribute-rgt-out--_binary64_3101 |
| 1× | unpow2_binary64_3212 unpow1_binary64_3205 1-exp_binary64_3191 exp-1-e_binary64_3190 +-lft-identity_binary64_3131 remove-double-div_binary64_3123 difference-of-squares_binary64_3116 associate--r-_binary64_3086 |
| 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_3410 erf-erfc_binary64_3409 erf-odd_binary64_3408 if-if-and-not_binary64_3407 if-if-and_binary64_3406 if-if-or-not_binary64_3405 if-if-or_binary64_3404 if-not_binary64_3403 if-same_binary64_3402 if-false_binary64_3401 if-true_binary64_3400 not-gte_binary64_3399 not-lte_binary64_3398 not-gt_binary64_3397 not-lt_binary64_3396 gte-same_binary64_3395 lte-same_binary64_3394 gt-same_binary64_3393 lt-same_binary64_3392 sinh---cosh_binary64_3339 sinh-+-cosh_binary64_3338 sinh-cosh_binary64_3337 tanh-def-c_binary64_3336 tanh-def-b_binary64_3335 tanh-def-a_binary64_3334 cosh-def_binary64_3333 sinh-def_binary64_3332 tan-neg_binary64_3279 cos-neg_binary64_3278 sin-neg_binary64_3277 tan-0_binary64_3276 cos-0_binary64_3275 sin-0_binary64_3274 hang-m-tan_binary64_3273 hang-p-tan_binary64_3272 hang-m0-tan_binary64_3271 hang-p0-tan_binary64_3270 hang-0m-tan_binary64_3269 hang-0p-tan_binary64_3268 tan-+PI/2_binary64_3267 tan-+PI_binary64_3266 tan-PI_binary64_3265 tan-PI/3_binary64_3264 tan-PI/4_binary64_3263 tan-PI/6_binary64_3262 cos-+PI/2_binary64_3261 cos-+PI_binary64_3260 cos-PI_binary64_3259 cos-PI/2_binary64_3258 cos-PI/3_binary64_3257 cos-PI/4_binary64_3256 cos-PI/6_binary64_3255 sin-+PI/2_binary64_3254 sin-+PI_binary64_3253 sin-PI_binary64_3252 sin-PI/2_binary64_3251 sin-PI/3_binary64_3250 sin-PI/4_binary64_3249 sin-PI/6_binary64_3248 sub-1-sin_binary64_3247 sub-1-cos_binary64_3246 -1-add-sin_binary64_3245 -1-add-cos_binary64_3244 1-sub-sin_binary64_3243 1-sub-cos_binary64_3242 cos-sin-sum_binary64_3241 log-E_binary64_3237 pow-base-0_binary64_3231 unpow1/3_binary64_3214 exp-to-pow_binary64_3209 pow-base-1_binary64_3207 unpow0_binary64_3206 unpow-1_binary64_3204 exp-lft-cube_binary64_3203 exp-lft-sqr_binary64_3202 exp-cbrt_binary64_3201 exp-sqrt_binary64_3200 div-exp_binary64_3198 rec-exp_binary64_3197 prod-exp_binary64_3196 exp-diff_binary64_3195 exp-neg_binary64_3194 e-exp-1_binary64_3192 exp-0_binary64_3189 rem-log-exp_binary64_3188 rem-exp-log_binary64_3187 cube-neg_binary64_3174 rem-3cbrt-rft_binary64_3173 rem-3cbrt-lft_binary64_3172 rem-cbrt-cube_binary64_3171 rem-cube-cbrt_binary64_3170 sqr-abs_binary64_3162 sqr-neg_binary64_3161 mul-1-neg_binary64_3139 remove-double-neg_binary64_3135 --rgt-identity_binary64_3133 mul0-rgt_binary64_3130 mul0-lft_binary64_3129 div0_binary64_3128 *-inverses_binary64_3127 +-inverses_binary64_3126 lft-mult-inverse_binary64_3125 rgt-mult-inverse_binary64_3124 difference-of-sqr--1_binary64_3118 difference-of-sqr-1_binary64_3117 cancel-sign-sub_binary64_3112 distribute-frac-neg_binary64_3110 distribute-neg-out_binary64_3109 distribute-rgt-neg-out_binary64_3107 distribute-rgt1-in_binary64_3103 distribute-lft1-in_binary64_3102 distribute-rgt-out_binary64_3100 distribute-lft-out--_binary64_3099 distribute-lft-out_binary64_3098 count-2_binary64_3095 associate--l-_binary64_3085 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 386 | 34918 |
| 1 | 1047 | 27311 |
| 2 | 3935 | 27311 |
| 3 | 4767 | 27311 |
| 4 | 4971 | 27311 |
| 5 | 4931 | 27311 |
5 alts after pruning (3 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 168 | 0 | 168 |
| Fresh | 0 | 3 | 3 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 168 | 5 | 173 |
Compiled 20428 to 16104 computations (21.2% saved)
Found 4 expressions with local error:
| 0.0b | (+.f64 (/.f64 1/2 x) (+.f64 (/.f64 1660320414109913/6603827387272392 (pow.f64 x 3)) (/.f64 370645858300289935006419108089/2422807564493828181570755855648 (pow.f64 x 5)))) |
| 0.0b | (+.f64 (/.f64 1660320414109913/6603827387272392 (pow.f64 x 3)) (/.f64 370645858300289935006419108089/2422807564493828181570755855648 (pow.f64 x 5))) |
| 0.2b | (/.f64 370645858300289935006419108089/2422807564493828181570755855648 (pow.f64 x 5)) |
| 0.3b | (/.f64 1660320414109913/6603827387272392 (pow.f64 x 3)) |
| 1× | rewrite-expression-head |
| 62× | times-frac_binary64_3153 *-un-lft-identity_binary64_3147 |
| 45× | add-cube-cbrt_binary64_3182 add-sqr-sqrt_binary64_3169 |
| 24× | unpow-prod-down_binary64_3226 |
| 19× | associate-/r*_binary64_3091 |
| 14× | add-exp-log_binary64_3185 |
| 12× | cube-prod_binary64_3175 |
| 11× | add-log-exp_binary64_3186 |
| 8× | add-cbrt-cube_binary64_3183 sqr-pow_binary64_3119 |
| 7× | distribute-lft-out_binary64_3098 |
| 6× | div-exp_binary64_3198 associate-/l*_binary64_3092 |
| 5× | frac-add_binary64_3155 |
| 4× | pow1_binary64_3208 unpow3_binary64_3213 cube-mult_binary64_3177 sum-log_binary64_3238 |
| 3× | flip3-+_binary64_3150 flip-+_binary64_3121 |
| 2× | pow-to-exp_binary64_3216 pow-exp_binary64_3215 cbrt-undiv_binary64_3181 frac-2neg_binary64_3158 clear-num_binary64_3146 div-inv_binary64_3144 +-commutative_binary64_3077 |
| 1× | associate-+r+_binary64_3079 |
4 calls:
| 59.0ms | (+.f64 (/.f64 1/2 x) (+.f64 (/.f64 1660320414109913/6603827387272392 (pow.f64 x 3)) (/.f64 370645858300289935006419108089/2422807564493828181570755855648 (pow.f64 x 5)))) |
| 50.0ms | (+.f64 (/.f64 1660320414109913/6603827387272392 (pow.f64 x 3)) (/.f64 370645858300289935006419108089/2422807564493828181570755855648 (pow.f64 x 5))) |
| 6.0ms | (/.f64 1660320414109913/6603827387272392 (pow.f64 x 3)) |
| 4.0ms | (/.f64 370645858300289935006419108089/2422807564493828181570755855648 (pow.f64 x 5)) |
Compiled 3504 to 2822 computations (19.5% saved)
4 calls:
| 132.0ms | (+.f64 (/.f64 1660320414109913/6603827387272392 (pow.f64 x 3)) (/.f64 370645858300289935006419108089/2422807564493828181570755855648 (pow.f64 x 5))) |
| 128.0ms | (+.f64 (/.f64 1/2 x) (+.f64 (/.f64 1660320414109913/6603827387272392 (pow.f64 x 3)) (/.f64 370645858300289935006419108089/2422807564493828181570755855648 (pow.f64 x 5)))) |
| 63.0ms | (/.f64 370645858300289935006419108089/2422807564493828181570755855648 (pow.f64 x 5)) |
| 55.0ms | (/.f64 1660320414109913/6603827387272392 (pow.f64 x 3)) |
Compiled 710 to 615 computations (13.4% saved)
| 1× | egg-herbie |
| 395× | distribute-rgt-in_binary64_3097 |
| 354× | distribute-lft-in_binary64_3096 |
| 324× | associate-/l/_binary64_3094 |
| 221× | unswap-sqr_binary64_3115 |
| 206× | cancel-sign-sub-inv_binary64_3113 |
| 151× | associate-/r*_binary64_3091 |
| 150× | associate-*r*_binary64_3087 |
| 144× | associate-*l*_binary64_3088 |
| 124× | distribute-rgt-neg-in_binary64_3105 |
| 121× | log-prod_binary64_3233 |
| 114× | distribute-lft-neg-in_binary64_3104 |
| 98× | associate-/r/_binary64_3093 |
| 80× | cube-div_binary64_3176 |
| 70× | log-div_binary64_3234 |
| 56× | sqr-pow_binary64_3119 *-commutative_binary64_3078 |
| 55× | unpow3_binary64_3213 |
| 53× | distribute-neg-frac_binary64_3111 associate-/l*_binary64_3092 |
| 46× | cube-prod_binary64_3175 distribute-rgt-out_binary64_3100 |
| 44× | associate-*l/_binary64_3090 |
| 43× | sub-neg_binary64_3140 associate-*r/_binary64_3089 |
| 41× | times-frac_binary64_3153 |
| 40× | distribute-lft-out_binary64_3098 |
| 39× | cube-mult_binary64_3177 |
| 28× | neg-mul-1_binary64_3143 neg-sub0_binary64_3142 swap-sqr_binary64_3114 |
| 25× | +-commutative_binary64_3077 |
| 23× | distribute-neg-in_binary64_3108 |
| 21× | distribute-lft-neg-out_binary64_3106 |
| 20× | log-pow_binary64_3236 |
| 16× | pow-plus_binary64_3210 |
| 15× | associate-+l+_binary64_3080 |
| 14× | *-rgt-identity_binary64_3137 |
| 13× | cube-unmult_binary64_3184 |
| 12× | distribute-rgt-out--_binary64_3101 associate-+r+_binary64_3079 |
| 11× | distribute-rgt-neg-out_binary64_3107 |
| 9× | exp-prod_binary64_3199 distribute-lft-out--_binary64_3099 |
| 8× | pow-sqr_binary64_3120 associate--r+_binary64_3083 |
| 7× | rem-sqrt-square_binary64_3160 |
| 6× | log-rec_binary64_3235 /-rgt-identity_binary64_3138 |
| 5× | prod-exp_binary64_3196 unsub-neg_binary64_3141 |
| 4× | associate--l+_binary64_3084 |
| 3× | exp-sum_binary64_3193 count-2_binary64_3095 |
| 2× | *-lft-identity_binary64_3136 difference-of-squares_binary64_3116 associate-+l-_binary64_3082 associate-+r-_binary64_3081 |
| 1× | unpow1/2_binary64_3211 1-exp_binary64_3191 rem-cbrt-cube_binary64_3171 rem-cube-cbrt_binary64_3170 rem-square-sqrt_binary64_3159 |
| 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_3410 erf-erfc_binary64_3409 erf-odd_binary64_3408 if-if-and-not_binary64_3407 if-if-and_binary64_3406 if-if-or-not_binary64_3405 if-if-or_binary64_3404 if-not_binary64_3403 if-same_binary64_3402 if-false_binary64_3401 if-true_binary64_3400 not-gte_binary64_3399 not-lte_binary64_3398 not-gt_binary64_3397 not-lt_binary64_3396 gte-same_binary64_3395 lte-same_binary64_3394 gt-same_binary64_3393 lt-same_binary64_3392 sinh---cosh_binary64_3339 sinh-+-cosh_binary64_3338 sinh-cosh_binary64_3337 tanh-def-c_binary64_3336 tanh-def-b_binary64_3335 tanh-def-a_binary64_3334 cosh-def_binary64_3333 sinh-def_binary64_3332 tan-neg_binary64_3279 cos-neg_binary64_3278 sin-neg_binary64_3277 tan-0_binary64_3276 cos-0_binary64_3275 sin-0_binary64_3274 hang-m-tan_binary64_3273 hang-p-tan_binary64_3272 hang-m0-tan_binary64_3271 hang-p0-tan_binary64_3270 hang-0m-tan_binary64_3269 hang-0p-tan_binary64_3268 tan-+PI/2_binary64_3267 tan-+PI_binary64_3266 tan-PI_binary64_3265 tan-PI/3_binary64_3264 tan-PI/4_binary64_3263 tan-PI/6_binary64_3262 cos-+PI/2_binary64_3261 cos-+PI_binary64_3260 cos-PI_binary64_3259 cos-PI/2_binary64_3258 cos-PI/3_binary64_3257 cos-PI/4_binary64_3256 cos-PI/6_binary64_3255 sin-+PI/2_binary64_3254 sin-+PI_binary64_3253 sin-PI_binary64_3252 sin-PI/2_binary64_3251 sin-PI/3_binary64_3250 sin-PI/4_binary64_3249 sin-PI/6_binary64_3248 sub-1-sin_binary64_3247 sub-1-cos_binary64_3246 -1-add-sin_binary64_3245 -1-add-cos_binary64_3244 1-sub-sin_binary64_3243 1-sub-cos_binary64_3242 cos-sin-sum_binary64_3241 log-E_binary64_3237 pow-base-0_binary64_3231 unpow1/3_binary64_3214 unpow2_binary64_3212 exp-to-pow_binary64_3209 pow-base-1_binary64_3207 unpow0_binary64_3206 unpow1_binary64_3205 unpow-1_binary64_3204 exp-lft-cube_binary64_3203 exp-lft-sqr_binary64_3202 exp-cbrt_binary64_3201 exp-sqrt_binary64_3200 div-exp_binary64_3198 rec-exp_binary64_3197 exp-diff_binary64_3195 exp-neg_binary64_3194 e-exp-1_binary64_3192 exp-1-e_binary64_3190 exp-0_binary64_3189 rem-log-exp_binary64_3188 rem-exp-log_binary64_3187 cube-neg_binary64_3174 rem-3cbrt-rft_binary64_3173 rem-3cbrt-lft_binary64_3172 sqr-abs_binary64_3162 sqr-neg_binary64_3161 div-sub_binary64_3152 mul-1-neg_binary64_3139 remove-double-neg_binary64_3135 sub0-neg_binary64_3134 --rgt-identity_binary64_3133 +-rgt-identity_binary64_3132 +-lft-identity_binary64_3131 mul0-rgt_binary64_3130 mul0-lft_binary64_3129 div0_binary64_3128 *-inverses_binary64_3127 +-inverses_binary64_3126 lft-mult-inverse_binary64_3125 rgt-mult-inverse_binary64_3124 remove-double-div_binary64_3123 difference-of-sqr--1_binary64_3118 difference-of-sqr-1_binary64_3117 cancel-sign-sub_binary64_3112 distribute-frac-neg_binary64_3110 distribute-neg-out_binary64_3109 distribute-rgt1-in_binary64_3103 distribute-lft1-in_binary64_3102 associate--r-_binary64_3086 associate--l-_binary64_3085 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 236 | 2768 |
| 1 | 489 | 2696 |
| 2 | 1923 | 2633 |
| 3 | 4704 | 2621 |
| 4 | 4939 | 2621 |
5 alts after pruning (2 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 89 | 0 | 89 |
| Fresh | 0 | 2 | 2 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 2 | 2 |
| Total | 89 | 5 | 94 |
Compiled 1900 to 1487 computations (21.7% saved)
Total 0.0b remaining (95.7%)
Threshold costs 0.0b (95.7%)
Compiled 24529 to 7612 computations (69% saved)
| Iters | Range | Point | |
|---|---|---|---|
| 8 | 2.5060420122668243 | 1899.2279784616037 | 856.707278786073 |
| 7 | -1046144.7402547856 | -14376.615628429105 | -305953.2832081561 |
Compiled 1 to 1 computations (0% saved)
| 1× | egg-herbie |
| 14× | *-commutative_binary64_3078 +-commutative_binary64_3077 |
| 1× | 1-exp_binary64_3191 |
| 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_3407 if-if-and_binary64_3406 if-if-or-not_binary64_3405 if-if-or_binary64_3404 if-not_binary64_3403 if-same_binary64_3402 if-false_binary64_3401 if-true_binary64_3400 tan-0_binary64_3276 cos-0_binary64_3275 sin-0_binary64_3274 unpow1_binary64_3205 e-exp-1_binary64_3192 exp-1-e_binary64_3190 exp-0_binary64_3189 sqr-abs_binary64_3162 sqr-neg_binary64_3161 neg-mul-1_binary64_3143 neg-sub0_binary64_3142 unsub-neg_binary64_3141 sub-neg_binary64_3140 mul-1-neg_binary64_3139 /-rgt-identity_binary64_3138 *-rgt-identity_binary64_3137 *-lft-identity_binary64_3136 remove-double-neg_binary64_3135 sub0-neg_binary64_3134 --rgt-identity_binary64_3133 +-rgt-identity_binary64_3132 +-lft-identity_binary64_3131 cancel-sign-sub-inv_binary64_3113 cancel-sign-sub_binary64_3112 distribute-neg-frac_binary64_3111 distribute-frac-neg_binary64_3110 distribute-neg-out_binary64_3109 distribute-neg-in_binary64_3108 distribute-rgt-neg-out_binary64_3107 distribute-lft-neg-out_binary64_3106 distribute-rgt-neg-in_binary64_3105 distribute-lft-neg-in_binary64_3104 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 75 | 164 |
| 1 | 105 | 164 |
| 2 | 104 | 164 |
| 1× | intervals |
| 973.0ms | 8000× | body | 128 | valid |
Compiled 11592 to 3699 computations (68.1% saved)
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