Details

Time bar (total: 10.0min)

analyze3.0ms (0%)

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
100%0%0%1
Compiler

Compiled 65 to 53 computations (18.5% saved)

sample41.0ms (0%)

Algorithm
intervals
Results
29.0ms256×body128valid
Compiler

Compiled 129 to 106 computations (17.8% saved)

simplify242.0ms (0%)

Algorithm
egg-herbie
Rules
680×times-frac_binary64_3153
574×cancel-sign-sub-inv_binary64_3113
377×distribute-rgt-in_binary64_3097
358×distribute-lft-in_binary64_3096
324×associate-/l/_binary64_3094
299×distribute-rgt-neg-in_binary64_3105
279×distribute-lft-neg-in_binary64_3104
277×distribute-neg-in_binary64_3108
222×associate-*l*_binary64_3088
208×associate-*r*_binary64_3087
162×distribute-neg-frac_binary64_3111
158×associate-*l/_binary64_3090
142×div-sub_binary64_3152
122×distribute-rgt-neg-out_binary64_3107
116×associate-/l*_binary64_3092
111×associate-*r/_binary64_3089
101×distribute-rgt-out_binary64_3100
91×distribute-lft-neg-out_binary64_3106
69×distribute-lft-out_binary64_3098
68×sub-neg_binary64_3140
67×neg-sub0_binary64_3142
66×neg-mul-1_binary64_3143
63×*-rgt-identity_binary64_3137
61×*-lft-identity_binary64_3136
54×associate-/r*_binary64_3091
52×unsub-neg_binary64_3141
45×unswap-sqr_binary64_3115
43×associate-+l+_binary64_3080
38×associate-+r+_binary64_3079
32×sqr-pow_binary64_3119
29×*-commutative_binary64_3078
28×associate--r+_binary64_3083
26×+-commutative_binary64_3077
21×distribute-rgt-out--_binary64_3101
16×exp-prod_binary64_3199
14×pow-sqr_binary64_3120 associate-/r/_binary64_3093
13×distribute-frac-neg_binary64_3110
11×distribute-lft-out--_binary64_3099
exp-sum_binary64_3193
associate--l+_binary64_3084 associate-+l-_binary64_3082
exp-diff_binary64_3195 /-rgt-identity_binary64_3138 sub0-neg_binary64_3134 +-rgt-identity_binary64_3132 associate-+r-_binary64_3081
cube-unmult_binary64_3184 div0_binary64_3128 distribute-rgt1-in_binary64_3103
div-exp_binary64_3198 prod-exp_binary64_3196 cube-prod_binary64_3175 mul0-rgt_binary64_3130 mul0-lft_binary64_3129 swap-sqr_binary64_3114 cancel-sign-sub_binary64_3112
pow-plus_binary64_3210 rec-exp_binary64_3197 exp-neg_binary64_3194 1-exp_binary64_3191 cube-div_binary64_3176 sqr-abs_binary64_3162 --rgt-identity_binary64_3133 distribute-lft1-in_binary64_3102 count-2_binary64_3095
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 unpow3_binary64_3213 unpow2_binary64_3212 unpow1/2_binary64_3211 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 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-neg_binary64_3174 rem-3cbrt-rft_binary64_3173 rem-3cbrt-lft_binary64_3172 rem-cbrt-cube_binary64_3171 rem-cube-cbrt_binary64_3170 sqr-neg_binary64_3161 rem-sqrt-square_binary64_3160 rem-square-sqrt_binary64_3159 mul-1-neg_binary64_3139 remove-double-neg_binary64_3135 +-lft-identity_binary64_3131 *-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 distribute-neg-out_binary64_3109 associate--r-_binary64_3086 associate--l-_binary64_3085
Counts
1 → 3
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02796
19179
227579
380979
4259879

prune15.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New213
Fresh101
Picked000
Done000
Total314
Error
13.9b
Counts
4 → 1
Compiler

Compiled 215 to 169 computations (21.4% saved)

localize21.0ms (0%)

Local error

Found 4 expressions with local error:

0.1b
(/.f64 4780145094533421/4503599627370496 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))
0.2b
(/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))
0.4b
(+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x)))))
13.8b
(-.f64 1 (/.f64 (/.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (pow.f64 (exp.f64 x) x)) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x)))))

rewrite1.8s (0.3%)

Algorithm
rewrite-expression-head
Error
13.8b
Rules
215×times-frac_binary64_3153
161×*-un-lft-identity_binary64_3147
129×add-sqr-sqrt_binary64_3169
102×add-cube-cbrt_binary64_3182 cancel-sign-sub-inv_binary64_3113
38×unpow-prod-down_binary64_3226
26×distribute-lft-out_binary64_3098
14×sqr-pow_binary64_3119
10×difference-of-squares_binary64_3116
add-log-exp_binary64_3186 add-exp-log_binary64_3185 add-cbrt-cube_binary64_3183
associate-/l*_binary64_3092
div-inv_binary64_3144 associate-/r/_binary64_3093 associate-/r*_binary64_3091
flip3-+_binary64_3150 flip-+_binary64_3121
pow1_binary64_3208
div-exp_binary64_3198 cbrt-undiv_binary64_3181 frac-2neg_binary64_3158 clear-num_binary64_3146 associate-/l/_binary64_3094
diff-log_binary64_3239 flip3--_binary64_3151 sub-neg_binary64_3140 flip--_binary64_3122 distribute-lft-out--_binary64_3099 sum-log_binary64_3238 +-commutative_binary64_3077
Counts
4 → 200
Calls

4 calls:

73.0ms
(-.f64 1 (/.f64 (/.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (pow.f64 (exp.f64 x) x)) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x)))))
39.0ms
(+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x)))))
13.0ms
(/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))
5.0ms
(/.f64 4780145094533421/4503599627370496 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))
Compiler

Compiled 17404 to 12803 computations (26.4% saved)

series29.6s (4.9%)

Error
13.9b
Counts
4 → 15
Calls

4 calls:

28.0s
(-.f64 1 (/.f64 (/.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (pow.f64 (exp.f64 x) x)) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x)))))
770.0ms
(+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x)))))
195.0ms
(/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))
94.0ms
(/.f64 4780145094533421/4503599627370496 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))
Compiler

Compiled 16788 to 12830 computations (23.6% saved)

simplify54.6s (9.1%)

Algorithm
egg-herbie
Rules
310×*-commutative_binary64_3078
305×+-commutative_binary64_3077
271×associate-+r+_binary64_3079
258×associate-*r/_binary64_3089
202×associate-/r*_binary64_3091
162×neg-mul-1_binary64_3143 neg-sub0_binary64_3142
156×associate-/l*_binary64_3092
144×times-frac_binary64_3153
130×sub-neg_binary64_3140
107×associate-/l/_binary64_3094
69×div-sub_binary64_3152
68×distribute-lft-neg-out_binary64_3106
67×distribute-neg-frac_binary64_3111
44×pow-sqr_binary64_3120
42×sqr-pow_binary64_3119
29×/-rgt-identity_binary64_3138
14×*-rgt-identity_binary64_3137
13×*-lft-identity_binary64_3136
11×unpow3_binary64_3213 cube-mult_binary64_3177 distribute-rgt-in_binary64_3097 distribute-lft-in_binary64_3096
cube-prod_binary64_3175 cancel-sign-sub-inv_binary64_3113 associate-*l*_binary64_3088 associate--l+_binary64_3084 associate--r+_binary64_3083
cube-unmult_binary64_3184
log-div_binary64_3234 cube-div_binary64_3176
unpow2_binary64_3212 pow-plus_binary64_3210 pow-base-1_binary64_3207 associate-*l/_binary64_3090
exp-prod_binary64_3199 difference-of-squares_binary64_3116 distribute-rgt-out--_binary64_3101 associate-+r-_binary64_3081
div-exp_binary64_3198 prod-exp_binary64_3196 rem-sqrt-square_binary64_3160 unsub-neg_binary64_3141 distribute-neg-in_binary64_3108 associate-*r*_binary64_3087
rec-exp_binary64_3197 exp-sum_binary64_3193 1-exp_binary64_3191 exp-1-e_binary64_3190 rem-3cbrt-lft_binary64_3172 sqr-abs_binary64_3162 rem-square-sqrt_binary64_3159 *-inverses_binary64_3127 swap-sqr_binary64_3114 distribute-rgt-neg-in_binary64_3105 distribute-lft-neg-in_binary64_3104 distribute-rgt-out_binary64_3100
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-prod_binary64_3233 pow-base-0_binary64_3231 unpow1/3_binary64_3214 unpow1/2_binary64_3211 exp-to-pow_binary64_3209 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 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-cbrt-cube_binary64_3171 rem-cube-cbrt_binary64_3170 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_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 unswap-sqr_binary64_3115 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-lft-out--_binary64_3099 distribute-lft-out_binary64_3098 count-2_binary64_3095 associate-/r/_binary64_3093 associate--r-_binary64_3086 associate--l-_binary64_3085 associate-+l-_binary64_3082 associate-+l+_binary64_3080
Counts
215 → 285
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0141033279
1456330975

prune4.4s (0.7%)

Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New2805285
Fresh000
Picked101
Done000
Total2815286
Error
13.8b
Counts
286 → 5
Compiler

Compiled 38150 to 28255 computations (25.9% saved)

localize38.0ms (0%)

Local error

Found 4 expressions with local error:

0.2b
(/.f64 (+.f64 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) -6544414927309881/4503599627370496) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))
0.4b
(+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x)))))
0.4b
(+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) -6544414927309881/4503599627370496) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x)))))
13.8b
(-.f64 1 (/.f64 (/.f64 (*.f64 (sqrt.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x)))))) (sqrt.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) -6544414927309881/4503599627370496) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))))) (pow.f64 (exp.f64 x) x)) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x)))))

rewrite1.4s (0.2%)

Algorithm
rewrite-expression-head
Error
13.8b
Rules
68×times-frac_binary64_3153
50×*-un-lft-identity_binary64_3147
42×add-sqr-sqrt_binary64_3169
39×cancel-sign-sub-inv_binary64_3113
34×add-cube-cbrt_binary64_3182
10×add-log-exp_binary64_3186
unpow-prod-down_binary64_3226
add-exp-log_binary64_3185 add-cbrt-cube_binary64_3183 distribute-lft-out_binary64_3098
div-inv_binary64_3144 flip3-+_binary64_3150 flip-+_binary64_3121
pow1_binary64_3208 difference-of-squares_binary64_3116 associate-/r/_binary64_3093 associate-/l*_binary64_3092
sqr-pow_binary64_3119 associate-/r*_binary64_3091
sum-log_binary64_3238 +-commutative_binary64_3077 associate-/l/_binary64_3094
diff-log_binary64_3239 flip3--_binary64_3151 sub-neg_binary64_3140 flip--_binary64_3122 distribute-lft-out--_binary64_3099 div-exp_binary64_3198 cbrt-undiv_binary64_3181 frac-2neg_binary64_3158 clear-num_binary64_3146
Counts
4 → 114
Calls

4 calls:

36.0ms
(+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x)))))
34.0ms
(+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) -6544414927309881/4503599627370496) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x)))))
20.0ms
(-.f64 1 (/.f64 (/.f64 (*.f64 (sqrt.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x)))))) (sqrt.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) -6544414927309881/4503599627370496) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))))) (pow.f64 (exp.f64 x) x)) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x)))))
15.0ms
(/.f64 (+.f64 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) -6544414927309881/4503599627370496) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))
Compiler

Compiled 14662 to 11164 computations (23.9% saved)

series30.1s (5%)

Error
13.8b
Counts
4 → 15
Calls

4 calls:

27.8s
(-.f64 1 (/.f64 (/.f64 (*.f64 (sqrt.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x)))))) (sqrt.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) -6544414927309881/4503599627370496) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))))) (pow.f64 (exp.f64 x) x)) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x)))))
779.0ms
(+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x)))))
765.0ms
(+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) -6544414927309881/4503599627370496) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x)))))
200.0ms
(/.f64 (+.f64 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) -6544414927309881/4503599627370496) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))
Compiler

Compiled 18015 to 13835 computations (23.2% saved)

simplify59.3s (9.9%)

Algorithm
egg-herbie
Rules
299×+-commutative_binary64_3077
280×*-commutative_binary64_3078
271×associate-+r+_binary64_3079
225×associate-*r/_binary64_3089
185×associate-/r*_binary64_3091
150×associate-/l*_binary64_3092
142×times-frac_binary64_3153
105×unswap-sqr_binary64_3115
104×distribute-rgt-in_binary64_3097
92×neg-mul-1_binary64_3143 neg-sub0_binary64_3142 sub-neg_binary64_3140
80×sqr-pow_binary64_3119 distribute-neg-frac_binary64_3111
73×distribute-lft-neg-out_binary64_3106
53×cancel-sign-sub-inv_binary64_3113 distribute-rgt-neg-in_binary64_3105
44×pow-sqr_binary64_3120
43×associate-/l/_binary64_3094
36×div-sub_binary64_3152
31×distribute-rgt-neg-out_binary64_3107
21×distribute-neg-in_binary64_3108
16×distribute-lft-neg-in_binary64_3104
14×/-rgt-identity_binary64_3138 *-rgt-identity_binary64_3137
13×*-lft-identity_binary64_3136 distribute-lft-in_binary64_3096
12×unpow3_binary64_3213 cube-mult_binary64_3177
swap-sqr_binary64_3114 distribute-rgt-out--_binary64_3101
cube-div_binary64_3176 cube-prod_binary64_3175 associate--l+_binary64_3084 associate--r+_binary64_3083
associate-*l/_binary64_3090 associate-*l*_binary64_3088
difference-of-squares_binary64_3116
unpow2_binary64_3212 pow-plus_binary64_3210 pow-base-1_binary64_3207 cube-unmult_binary64_3184 distribute-rgt-out_binary64_3100 associate-+r-_binary64_3081
exp-prod_binary64_3199 prod-exp_binary64_3196
log-div_binary64_3234 div-exp_binary64_3198 rem-sqrt-square_binary64_3160 rem-square-sqrt_binary64_3159 unsub-neg_binary64_3141 distribute-rgt1-in_binary64_3103 associate-*r*_binary64_3087
rec-exp_binary64_3197 exp-sum_binary64_3193 1-exp_binary64_3191 exp-1-e_binary64_3190 rem-3cbrt-lft_binary64_3172 sqr-abs_binary64_3162 *-inverses_binary64_3127 distribute-lft-out--_binary64_3099
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-prod_binary64_3233 pow-base-0_binary64_3231 unpow1/3_binary64_3214 unpow1/2_binary64_3211 exp-to-pow_binary64_3209 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 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-cbrt-cube_binary64_3171 rem-cube-cbrt_binary64_3170 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_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 distribute-lft-out_binary64_3098 count-2_binary64_3095 associate-/r/_binary64_3093 associate--r-_binary64_3086 associate--l-_binary64_3085 associate-+l-_binary64_3082 associate-+l+_binary64_3080
Counts
129 → 295
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0121027056
1397521247

prune7.0s (1.2%)

Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New2923295
Fresh134
Picked101
Done000
Total2946300
Error
2.4b
Counts
300 → 6
Compiler

Compiled 51677 to 39033 computations (24.5% saved)

localize43.0ms (0%)

Local error

Found 4 expressions with local error:

0.4b
(+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) -6544414927309881/4503599627370496) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x)))))
0.4b
(+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) -6544414927309881/4503599627370496) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x)))))
13.8b
(-.f64 1 (/.f64 (/.f64 (*.f64 (sqrt.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x)))))) (sqrt.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) -6544414927309881/4503599627370496) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))))) (pow.f64 (exp.f64 x) x)) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x)))))
13.8b
(-.f64 1 (/.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) -6544414927309881/4503599627370496) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (*.f64 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))) (pow.f64 (exp.f64 x) x))))

rewrite1.9s (0.3%)

Algorithm
rewrite-expression-head
Error
2.1b
Rules
60×times-frac_binary64_3153
49×cancel-sign-sub-inv_binary64_3113
40×*-un-lft-identity_binary64_3147
38×add-sqr-sqrt_binary64_3169
27×add-cube-cbrt_binary64_3182
12×add-log-exp_binary64_3186
unpow-prod-down_binary64_3226
difference-of-squares_binary64_3116
div-inv_binary64_3144
pow1_binary64_3208 add-exp-log_binary64_3185 add-cbrt-cube_binary64_3183 flip3-+_binary64_3150 associate-/r/_binary64_3093 flip-+_binary64_3121
distribute-lft-out_binary64_3098 sqr-pow_binary64_3119
diff-log_binary64_3239 flip3--_binary64_3151 sub-neg_binary64_3140 flip--_binary64_3122 associate-*l/_binary64_3090 distribute-lft-out--_binary64_3099 sum-log_binary64_3238 +-commutative_binary64_3077
Counts
4 → 103
Calls

4 calls:

43.0ms
(-.f64 1 (/.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) -6544414927309881/4503599627370496) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (*.f64 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))) (pow.f64 (exp.f64 x) x))))
38.0ms
(+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) -6544414927309881/4503599627370496) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x)))))
32.0ms
(+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) -6544414927309881/4503599627370496) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x)))))
20.0ms
(-.f64 1 (/.f64 (/.f64 (*.f64 (sqrt.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x)))))) (sqrt.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) -6544414927309881/4503599627370496) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))))) (pow.f64 (exp.f64 x) x)) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x)))))
Compiler

Compiled 19652 to 14812 computations (24.6% saved)

series56.5s (9.4%)

Error
2.4b
Counts
4 → 18
Calls

4 calls:

27.0s
(-.f64 1 (/.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) -6544414927309881/4503599627370496) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (*.f64 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))) (pow.f64 (exp.f64 x) x))))
26.6s
(-.f64 1 (/.f64 (/.f64 (*.f64 (sqrt.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x)))))) (sqrt.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) -6544414927309881/4503599627370496) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))))) (pow.f64 (exp.f64 x) x)) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x)))))
756.0ms
(+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) -6544414927309881/4503599627370496) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x)))))
746.0ms
(+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) -6544414927309881/4503599627370496) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x)))))
Compiler

Compiled 35468 to 27072 computations (23.7% saved)

simplify1.6min (15.9%)

Algorithm
egg-herbie
Rules
303×+-commutative_binary64_3077
287×*-commutative_binary64_3078
272×associate-+r+_binary64_3079
226×associate-*r/_binary64_3089
185×associate-/r*_binary64_3091
147×associate-/l*_binary64_3092
140×times-frac_binary64_3153
105×unswap-sqr_binary64_3115
98×neg-mul-1_binary64_3143 neg-sub0_binary64_3142
88×sub-neg_binary64_3140
87×distribute-neg-frac_binary64_3111
85×distribute-lft-neg-out_binary64_3106
82×sqr-pow_binary64_3119
67×distribute-rgt-in_binary64_3097
54×distribute-rgt-neg-in_binary64_3105
48×cancel-sign-sub-inv_binary64_3113
44×pow-sqr_binary64_3120
43×associate-/l/_binary64_3094
39×div-sub_binary64_3152
33×distribute-rgt-neg-out_binary64_3107
19×distribute-neg-in_binary64_3108
17×distribute-lft-neg-in_binary64_3104
15×*-rgt-identity_binary64_3137 *-lft-identity_binary64_3136
14×unpow3_binary64_3213
13×cube-mult_binary64_3177
11×cube-prod_binary64_3175 /-rgt-identity_binary64_3138
cube-div_binary64_3176
swap-sqr_binary64_3114
distribute-lft-in_binary64_3096 associate--l+_binary64_3084 associate--r+_binary64_3083
distribute-rgt-out--_binary64_3101
exp-prod_binary64_3199 difference-of-squares_binary64_3116 distribute-rgt-out_binary64_3100
unpow2_binary64_3212 pow-plus_binary64_3210 pow-base-1_binary64_3207 associate-*l*_binary64_3088
div-exp_binary64_3198 associate-*l/_binary64_3090
prod-exp_binary64_3196 exp-sum_binary64_3193 cube-unmult_binary64_3184 rem-3cbrt-lft_binary64_3172 rem-sqrt-square_binary64_3160 rem-square-sqrt_binary64_3159 distribute-rgt1-in_binary64_3103 associate-*r*_binary64_3087 associate-+r-_binary64_3081
rec-exp_binary64_3197 1-exp_binary64_3191 exp-1-e_binary64_3190 sqr-abs_binary64_3162 unsub-neg_binary64_3141 *-inverses_binary64_3127 distribute-lft-out--_binary64_3099
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 unpow1/2_binary64_3211 exp-to-pow_binary64_3209 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 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-cbrt-cube_binary64_3171 rem-cube-cbrt_binary64_3170 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_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 distribute-lft-out_binary64_3098 count-2_binary64_3095 associate-/r/_binary64_3093 associate--r-_binary64_3086 associate--l-_binary64_3085 associate-+l-_binary64_3082 associate-+l+_binary64_3080
Counts
121 → 185
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0119638030
1399932267

prune7.2s (1.2%)

Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New1805185
Fresh145
Picked101
Done000
Total1829191
Error
2.4b
Counts
191 → 9
Compiler

Compiled 60685 to 45339 computations (25.3% saved)

localize44.0ms (0%)

Local error

Found 4 expressions with local error:

0.4b
(+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) -6544414927309881/4503599627370496) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x)))))
0.5b
(/.f64 (sqrt.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) -6544414927309881/4503599627370496) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x)))))) (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) -6544414927309881/4503599627370496) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))))))
13.8b
(-.f64 1 (/.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) -6544414927309881/4503599627370496) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (*.f64 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))) (pow.f64 (exp.f64 x) x))))
13.9b
(-.f64 1 (/.f64 (sqrt.f64 (/.f64 (sqrt.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) -6544414927309881/4503599627370496) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x)))))) (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) -6544414927309881/4503599627370496) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))))))) (sqrt.f64 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))))

rewrite4.2min (41.7%)

Algorithm
rewrite-expression-head
Rules
7675×times-frac_binary64_3153
6607×sqrt-prod_binary64_3163
4541×*-un-lft-identity_binary64_3147
3281×add-sqr-sqrt_binary64_3169
3027×add-cube-cbrt_binary64_3182
2374×cancel-sign-sub-inv_binary64_3113
1066×unpow-prod-down_binary64_3226
738×distribute-lft-out_binary64_3098
366×sqr-pow_binary64_3119
111×associate-/r/_binary64_3093
104×sqrt-div_binary64_3164
68×difference-of-squares_binary64_3116
59×div-inv_binary64_3144
55×associate-/r*_binary64_3091
54×flip3-+_binary64_3150 flip-+_binary64_3121
13×add-exp-log_binary64_3185
10×add-log-exp_binary64_3186
add-cbrt-cube_binary64_3183
div-exp_binary64_3198 associate-/l*_binary64_3092
pow1_binary64_3208
cbrt-undiv_binary64_3181
diff-log_binary64_3239 flip3--_binary64_3151 sub-neg_binary64_3140 flip--_binary64_3122 distribute-lft-out--_binary64_3099 associate-*l/_binary64_3090 associate-/l/_binary64_3094
pow-to-exp_binary64_3216 pow-exp_binary64_3215 frac-2neg_binary64_3158 clear-num_binary64_3146 sum-log_binary64_3238 +-commutative_binary64_3077
Counts
4 → 2944
Calls

4 calls:

832.0ms
(-.f64 1 (/.f64 (sqrt.f64 (/.f64 (sqrt.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) -6544414927309881/4503599627370496) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x)))))) (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) -6544414927309881/4503599627370496) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))))))) (sqrt.f64 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))))
84.0ms
(/.f64 (sqrt.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) -6544414927309881/4503599627370496) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x)))))) (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) -6544414927309881/4503599627370496) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))))))
42.0ms
(-.f64 1 (/.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) -6544414927309881/4503599627370496) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (*.f64 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))) (pow.f64 (exp.f64 x) x))))
32.0ms
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