Details

Time bar (total: 1.1s)

analyze326.0ms (29.4%)

Algorithm
search
egg-herbie
Rules
1030×sqr-pow_binary64_3119
855×unswap-sqr_binary64_3115
550×associate-*l*_binary64_3088
440×pow-sqr_binary64_3120
283×associate-*r*_binary64_3087
269×*-commutative_binary64_3078
260×cube-prod_binary64_3175
228×unpow3_binary64_3213
221×cube-mult_binary64_3177
69×pow-plus_binary64_3210
30×rem-sqrt-square_binary64_3160
15×cube-unmult_binary64_3184
10×unpow2_binary64_3212 unpow1/2_binary64_3211 unpow1_binary64_3205
1-exp_binary64_3191
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-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-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 /-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 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 swap-sqr_binary64_3114 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-rgt1-in_binary64_3103 distribute-lft1-in_binary64_3102 distribute-rgt-out--_binary64_3101 distribute-rgt-out_binary64_3100 distribute-lft-out--_binary64_3099 distribute-lft-out_binary64_3098 distribute-rgt-in_binary64_3097 distribute-lft-in_binary64_3096 count-2_binary64_3095 associate-/l/_binary64_3094 associate-/r/_binary64_3093 associate-/l*_binary64_3092 associate-/r*_binary64_3091 associate-*l/_binary64_3090 associate-*r/_binary64_3089 associate--r-_binary64_3086 associate--l-_binary64_3085 associate--l+_binary64_3084 associate--r+_binary64_3083 associate-+l-_binary64_3082 associate-+r-_binary64_3081 associate-+l+_binary64_3080 associate-+r+_binary64_3079 +-commutative_binary64_3077
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01022
12416
25210
31054
42734
58254
615854
717204
819364
922214
1025804
1130504
1236104
1342664
1444264
1545264
1645404
1745424
1845424
1950084
011
111
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
50%50%0%3
50%25%25%4
50%12.5%37.5%5
50%6.2%43.8%6
53.1%3.1%43.8%7
54.7%1.6%43.8%8
54.7%0.8%44.6%9
54.7%0.4%44.9%10
54.9%0.2%44.9%11
54.9%0.1%45%12
54.9%0%45%13
54.9%0%45%14
Compiler

Compiled 20 to 10 computations (50% saved)

sample17.0ms (1.5%)

Algorithm
intervals
Results
10.0ms256×body128valid
Compiler

Compiled 39 to 20 computations (48.7% saved)

simplify174.0ms (15.7%)

Algorithm
egg-herbie
Rules
1030×sqr-pow_binary64_3119
855×unswap-sqr_binary64_3115
550×associate-*l*_binary64_3088
440×pow-sqr_binary64_3120
283×associate-*r*_binary64_3087
269×*-commutative_binary64_3078
260×cube-prod_binary64_3175
228×unpow3_binary64_3213
221×cube-mult_binary64_3177
69×pow-plus_binary64_3210
30×rem-sqrt-square_binary64_3160
15×cube-unmult_binary64_3184
10×unpow2_binary64_3212 unpow1/2_binary64_3211 unpow1_binary64_3205
1-exp_binary64_3191
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-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-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 /-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 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 swap-sqr_binary64_3114 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-rgt1-in_binary64_3103 distribute-lft1-in_binary64_3102 distribute-rgt-out--_binary64_3101 distribute-rgt-out_binary64_3100 distribute-lft-out--_binary64_3099 distribute-lft-out_binary64_3098 distribute-rgt-in_binary64_3097 distribute-lft-in_binary64_3096 count-2_binary64_3095 associate-/l/_binary64_3094 associate-/r/_binary64_3093 associate-/l*_binary64_3092 associate-/r*_binary64_3091 associate-*l/_binary64_3090 associate-*r/_binary64_3089 associate--r-_binary64_3086 associate--l-_binary64_3085 associate--l+_binary64_3084 associate--r+_binary64_3083 associate-+l-_binary64_3082 associate-+r-_binary64_3081 associate-+l+_binary64_3080 associate-+r+_binary64_3079 +-commutative_binary64_3077
Counts
1 → 1
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01022
12416
25210
31054
42734
58254
615854
717204
819364
922214
1025804
1130504
1236104
1342664
1444264
1545264
1645404
1745424
1845424
1950084

prune3.0ms (0.3%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Compiled 6 to 6 computations (0% saved)

localize2.0ms (0.2%)

rewrite0.0ms (0%)

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

Compiled 0 to 0 computations (0% saved)

series0.0ms (0%)

Error
0b
Counts
0 → 0
Compiler

Compiled 0 to 0 computations (0% saved)

simplify8.0ms (0.7%)

Algorithm
egg-herbie
Rules
not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64_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 pow-plus_binary64_3210 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 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 1-exp_binary64_3191 exp-1-e_binary64_3190 exp-0_binary64_3189 rem-log-exp_binary64_3188 rem-exp-log_binary64_3187 cube-unmult_binary64_3184 cube-mult_binary64_3177 cube-div_binary64_3176 cube-prod_binary64_3175 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 /-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 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 pow-sqr_binary64_3120 sqr-pow_binary64_3119 difference-of-sqr--1_binary64_3118 difference-of-sqr-1_binary64_3117 difference-of-squares_binary64_3116 unswap-sqr_binary64_3115 swap-sqr_binary64_3114 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-rgt1-in_binary64_3103 distribute-lft1-in_binary64_3102 distribute-rgt-out--_binary64_3101 distribute-rgt-out_binary64_3100 distribute-lft-out--_binary64_3099 distribute-lft-out_binary64_3098 distribute-rgt-in_binary64_3097 distribute-lft-in_binary64_3096 count-2_binary64_3095 associate-/l/_binary64_3094 associate-/r/_binary64_3093 associate-/l*_binary64_3092 associate-/r*_binary64_3091 associate-*l/_binary64_3090 associate-*r/_binary64_3089 associate-*l*_binary64_3088 associate-*r*_binary64_3087 associate--r-_binary64_3086 associate--l-_binary64_3085 associate--l+_binary64_3084 associate--r+_binary64_3083 associate-+l-_binary64_3082 associate-+r-_binary64_3081 associate-+l+_binary64_3080 associate-+r+_binary64_3079 *-commutative_binary64_3078 +-commutative_binary64_3077
Counts
0 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
100

prune1.0ms (0%)

Pruning

1 alts after pruning (0 fresh and 1 done)

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

Compiled 0 to 0 computations (0% saved)

regimes19.0ms (1.7%)

Accuracy

Total 0b remaining (0%)

Threshold costs 0b (0%)

Compiler

Compiled 84 to 44 computations (47.6% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.2%)

Algorithm
egg-herbie
Rules
not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same if-if-and-not_binary64_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 1-exp_binary64_3191 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 *-commutative_binary64_3078 +-commutative_binary64_3077
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044
144

end0.0ms (0%)

sample555.0ms (50.1%)

Algorithm
intervals
Results
327.0ms8000×body128valid
Compiler

Compiled 48 to 29 computations (39.6% saved)

Profiling

Loading profile data...