Details

Time bar (total: 6.5s)

analyze169.0ms (2.6%)

Algorithm
search
egg-herbie
Rules
32×cancel-sign-sub-inv_binary64_3113
30×sub-neg_binary64_3140
18×associate--r+_binary64_3083
14×distribute-rgt-neg-in_binary64_3105
10×distribute-lft-neg-in_binary64_3104 associate-*l*_binary64_3088 associate-+l-_binary64_3082
neg-mul-1_binary64_3143 neg-sub0_binary64_3142 distribute-rgt-neg-out_binary64_3107 associate-*r*_binary64_3087 *-commutative_binary64_3078 +-commutative_binary64_3077
distribute-lft-neg-out_binary64_3106
sub0-neg_binary64_3134 distribute-neg-in_binary64_3108 distribute-rgt-in_binary64_3097 associate--r-_binary64_3086 associate--l+_binary64_3084
*-lft-identity_binary64_3136 remove-double-neg_binary64_3135 +-rgt-identity_binary64_3132 +-lft-identity_binary64_3131 distribute-rgt-out--_binary64_3101 associate-+r-_binary64_3081 associate-+l+_binary64_3080 associate-+r+_binary64_3079
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 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 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 unsub-neg_binary64_3141 mul-1-neg_binary64_3139 /-rgt-identity_binary64_3138 *-rgt-identity_binary64_3137 --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 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_binary64_3112 distribute-neg-frac_binary64_3111 distribute-frac-neg_binary64_3110 distribute-neg-out_binary64_3109 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 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_3085
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01114
12314
23714
35414
46814
510414
613014
718314
817714
917914
1015014
022
122
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
50%50%0.1%3
74.9%25%0.1%4
74.9%25%0.1%5
87.4%12.5%0.1%6
87.4%12.5%0.1%7
93.7%6.2%0.1%8
93.7%6.2%0.1%9
96.8%3.1%0.1%10
96.8%3.1%0.1%11
98.3%1.6%0.1%12
98.3%1.6%0.1%13
99.1%0.8%0.1%14
Compiler

Compiled 8 to 8 computations (0% saved)

sample15.0ms (0.2%)

Algorithm
intervals
Results
5.0ms230×body128valid
1.0ms10×body1024valid
1.0ms10×body512valid
0.0msbody2048valid
0.0msbody256valid
Compiler

Compiled 15 to 17 computations (-13.3% saved)

simplify13.0ms (0.2%)

Algorithm
egg-herbie
Rules
25×cancel-sign-sub-inv_binary64_3113
18×sub-neg_binary64_3140
11×neg-mul-1_binary64_3143
10×distribute-rgt-neg-in_binary64_3105
associate--r+_binary64_3083
neg-sub0_binary64_3142 distribute-rgt-in_binary64_3097
unsub-neg_binary64_3141
+-lft-identity_binary64_3131 distribute-lft-neg-out_binary64_3106 +-commutative_binary64_3077
sub0-neg_binary64_3134 distribute-lft-neg-in_binary64_3104 associate-+l-_binary64_3082 *-commutative_binary64_3078
*-lft-identity_binary64_3136 distribute-rgt-neg-out_binary64_3107
distribute-neg-in_binary64_3108 distribute-lft-in_binary64_3096 associate-+l+_binary64_3080
*-rgt-identity_binary64_3137 remove-double-neg_binary64_3135 --rgt-identity_binary64_3133 associate--r-_binary64_3086
1-exp_binary64_3191 +-rgt-identity_binary64_3132 associate-*l*_binary64_3088 associate--l+_binary64_3084 associate-+r-_binary64_3081 associate-+r+_binary64_3079
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 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 mul-1-neg_binary64_3139 /-rgt-identity_binary64_3138 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_binary64_3112 distribute-neg-frac_binary64_3111 distribute-frac-neg_binary64_3110 distribute-neg-out_binary64_3109 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 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_3087 associate--l-_binary64_3085
Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
097
1167
2247
3337
4427
5607
6857
7987
81257
91297
101277
11987

prune3.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112
Error
0.1b
Counts
2 → 1
Compiler

Compiled 10 to 10 computations (0% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b
(-.f64 x (*.f64 3/8 y))

rewrite15.0ms (0.2%)

Algorithm
rewrite-expression-head
Error
0.1b
Rules
add-log-exp_binary64_3186
diff-log_binary64_3239 pow1_binary64_3208 add-exp-log_binary64_3185 add-cbrt-cube_binary64_3183 add-cube-cbrt_binary64_3182 add-sqr-sqrt_binary64_3169 flip3--_binary64_3151 *-un-lft-identity_binary64_3147 sub-neg_binary64_3140 flip--_binary64_3122 cancel-sign-sub-inv_binary64_3113
Counts
1 → 12
Calls

1 calls:

3.0ms
(-.f64 x (*.f64 3/8 y))
Compiler

Compiled 143 to 100 computations (30.1% saved)

series98.0ms (1.5%)

Error
0.1b
Counts
1 → 12
Calls

1 calls:

92.0ms
(-.f64 x (*.f64 3/8 y))
Compiler

Compiled 114 to 104 computations (8.8% saved)

simplify94.0ms (1.4%)

Algorithm
egg-herbie
Rules
1043×unsub-neg_binary64_3141
928×times-frac_binary64_3153
385×distribute-rgt-neg-in_binary64_3105
327×neg-sub0_binary64_3142
310×neg-mul-1_binary64_3143
282×distribute-rgt-out_binary64_3100
279×distribute-lft-neg-in_binary64_3104
255×associate-*l*_binary64_3088
239×distribute-lft-neg-out_binary64_3106
228×distribute-rgt-neg-out_binary64_3107
220×associate-*r*_binary64_3087
215×*-commutative_binary64_3078
169×distribute-rgt-in_binary64_3097
168×associate-+l+_binary64_3080
163×sub-neg_binary64_3140
143×distribute-lft-out_binary64_3098
140×cancel-sign-sub-inv_binary64_3113
135×distribute-lft-in_binary64_3096
130×distribute-neg-in_binary64_3108
96×unswap-sqr_binary64_3115
72×sqr-pow_binary64_3119
60×+-commutative_binary64_3077
53×associate-/l/_binary64_3094
52×remove-double-neg_binary64_3135
42×associate-+l-_binary64_3082
38×distribute-rgt-out--_binary64_3101
36×exp-prod_binary64_3199
35×distribute-neg-out_binary64_3109
30×sub0-neg_binary64_3134
28×cancel-sign-sub_binary64_3112
25×cube-prod_binary64_3175 associate-+r+_binary64_3079
24×exp-sum_binary64_3193 distribute-lft-out--_binary64_3099
22×div-sub_binary64_3152 associate-/r*_binary64_3091
20×cube-unmult_binary64_3184
19×exp-diff_binary64_3195 associate--r+_binary64_3083
16×pow-plus_binary64_3210 mul0-rgt_binary64_3130 mul0-lft_binary64_3129 pow-sqr_binary64_3120 associate-+r-_binary64_3081
14×unpow3_binary64_3213 difference-of-squares_binary64_3116 associate-/l*_binary64_3092
13×+-rgt-identity_binary64_3132
10×--rgt-identity_binary64_3133 swap-sqr_binary64_3114
mul-1-neg_binary64_3139 associate-*r/_binary64_3089
log-prod_binary64_3233
*-lft-identity_binary64_3136
associate-*l/_binary64_3090 associate--l+_binary64_3084
cube-mult_binary64_3177 sqr-neg_binary64_3161 /-rgt-identity_binary64_3138 +-lft-identity_binary64_3131
exp-neg_binary64_3194 cube-neg_binary64_3174
unpow2_binary64_3212 *-rgt-identity_binary64_3137 distribute-frac-neg_binary64_3110 count-2_binary64_3095
div-exp_binary64_3198 1-exp_binary64_3191 exp-1-e_binary64_3190 cube-div_binary64_3176 distribute-rgt1-in_binary64_3103 distribute-lft1-in_binary64_3102 associate--r-_binary64_3086 associate--l-_binary64_3085
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 pow-base-0_binary64_3231 unpow1/3_binary64_3214 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 rec-exp_binary64_3197 prod-exp_binary64_3196 e-exp-1_binary64_3192 exp-0_binary64_3189 rem-log-exp_binary64_3188 rem-exp-log_binary64_3187 rem-3cbrt-rft_binary64_3173 rem-3cbrt-lft_binary64_3172 rem-cbrt-cube_binary64_3171 rem-cube-cbrt_binary64_3170 sqr-abs_binary64_3162 rem-sqrt-square_binary64_3160 rem-square-sqrt_binary64_3159 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 distribute-neg-frac_binary64_3111 associate-/r/_binary64_3093
Counts
24 → 16
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
031216
182201
2217201
3573201
41380201
52337201
63781201
74922201
85770201

prune17.0ms (0.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New12416
Fresh000
Picked011
Done000
Total12517
Error
0.1b
Counts
17 → 5
Compiler

Compiled 211 to 150 computations (28.9% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.5b
(*.f64 (cbrt.f64 (+.f64 (*.f64 -3/8 y) x)) (cbrt.f64 (+.f64 (*.f64 -3/8 y) x)))
0.6b
(cbrt.f64 (+.f64 (*.f64 -3/8 y) x))
0.6b
(cbrt.f64 (+.f64 (*.f64 -3/8 y) x))
0.6b
(cbrt.f64 (+.f64 (*.f64 -3/8 y) x))

rewrite188.0ms (2.9%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
25×cbrt-prod_binary64_3178
23×add-sqr-sqrt_binary64_3169
18×cbrt-div_binary64_3179
15×add-cube-cbrt_binary64_3182 *-un-lft-identity_binary64_3147
11×pow1_binary64_3208
pow1/3_binary64_3229 flip3-+_binary64_3150 flip-+_binary64_3121
add-exp-log_binary64_3185 swap-sqr_binary64_3114 associate-*l*_binary64_3088 associate-*r*_binary64_3087
add-log-exp_binary64_3186 add-cbrt-cube_binary64_3183 frac-times_binary64_3157 unswap-sqr_binary64_3115
pow-prod-down_binary64_3218 pow-prod-up_binary64_3217 pow-sqr_binary64_3120 associate-*l/_binary64_3090 associate-*r/_binary64_3089
pow2_binary64_3228 pow-plus_binary64_3210 prod-exp_binary64_3196 cbrt-unprod_binary64_3180 *-commutative_binary64_3078
Counts
4 → 87
Calls

4 calls:

13.0ms
(*.f64 (cbrt.f64 (+.f64 (*.f64 -3/8 y) x)) (cbrt.f64 (+.f64 (*.f64 -3/8 y) x)))
6.0ms
(cbrt.f64 (+.f64 (*.f64 -3/8 y) x))
5.0ms
(cbrt.f64 (+.f64 (*.f64 -3/8 y) x))
4.0ms
(cbrt.f64 (+.f64 (*.f64 -3/8 y) x))
Compiler

Compiled 2660 to 1913 computations (28.1% saved)

series899.0ms (13.7%)

Error
0.1b
Counts
4 → 51
Calls

4 calls:

304.0ms
(*.f64 (cbrt.f64 (+.f64 (*.f64 -3/8 y) x)) (cbrt.f64 (+.f64 (*.f64 -3/8 y) x)))
170.0ms
(cbrt.f64 (+.f64 (*.f64 -3/8 y) x))
167.0ms
(cbrt.f64 (+.f64 (*.f64 -3/8 y) x))
166.0ms
(cbrt.f64 (+.f64 (*.f64 -3/8 y) x))
Compiler

Compiled 3987 to 3327 computations (16.6% saved)

simplify210.0ms (3.2%)

Algorithm
egg-herbie
Rules
508×unswap-sqr_binary64_3115
374×*-commutative_binary64_3078
267×times-frac_binary64_3153
252×cancel-sign-sub-inv_binary64_3113
216×sub-neg_binary64_3140
179×distribute-rgt-neg-in_binary64_3105
170×distribute-lft-neg-in_binary64_3104
151×neg-sub0_binary64_3142 associate-*r*_binary64_3087
150×neg-mul-1_binary64_3143
132×sqr-pow_binary64_3119
125×exp-prod_binary64_3199
117×associate-*l*_binary64_3088
86×exp-sum_binary64_3193
75×distribute-rgt-in_binary64_3097
72×div-exp_binary64_3198
70×unsub-neg_binary64_3141
68×exp-diff_binary64_3195
59×log-prod_binary64_3233
52×distribute-lft-in_binary64_3096
51×prod-exp_binary64_3196
44×+-commutative_binary64_3077
43×associate-/l*_binary64_3092
37×div-sub_binary64_3152
36×cube-prod_binary64_3175 associate-/r*_binary64_3091
35×associate-+r-_binary64_3081
30×associate-+l-_binary64_3082 associate-+l+_binary64_3080
29×associate--r+_binary64_3083
27×unpow1/3_binary64_3214
26×distribute-neg-in_binary64_3108
25×exp-to-pow_binary64_3209
24×log-pow_binary64_3236 distribute-rgt-out_binary64_3100
23×sub0-neg_binary64_3134 +-rgt-identity_binary64_3132
22×unpow3_binary64_3213
21×distribute-neg-frac_binary64_3111 associate-*r/_binary64_3089
20×pow-sqr_binary64_3120
18×associate-/r/_binary64_3093
17×pow-plus_binary64_3210 swap-sqr_binary64_3114 distribute-lft-neg-out_binary64_3106
16×associate-+r+_binary64_3079
15×associate-*l/_binary64_3090
14×log-div_binary64_3234 associate--l+_binary64_3084
13×*-rgt-identity_binary64_3137
12×*-lft-identity_binary64_3136
rem-exp-log_binary64_3187 cube-unmult_binary64_3184 distribute-rgt-out--_binary64_3101
exp-neg_binary64_3194 rem-sqrt-square_binary64_3160
rem-log-exp_binary64_3188 distribute-rgt-neg-out_binary64_3107 associate--r-_binary64_3086
unpow2_binary64_3212 exp-lft-sqr_binary64_3202 associate--l-_binary64_3085
unpow1/2_binary64_3211 rec-exp_binary64_3197 cube-mult_binary64_3177 cube-div_binary64_3176 distribute-lft-out_binary64_3098
unpow1_binary64_3205 --rgt-identity_binary64_3133
log-rec_binary64_3235 rem-3cbrt-lft_binary64_3172 remove-double-neg_binary64_3135 difference-of-squares_binary64_3116 count-2_binary64_3095
log-E_binary64_3237 1-exp_binary64_3191 exp-1-e_binary64_3190 rem-3cbrt-rft_binary64_3173 rem-square-sqrt_binary64_3159 mul-1-neg_binary64_3139 distribute-lft-out--_binary64_3099 associate-/l/_binary64_3094
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 pow-base-0_binary64_3231 pow-base-1_binary64_3207 unpow0_binary64_3206 unpow-1_binary64_3204 exp-lft-cube_binary64_3203 exp-cbrt_binary64_3201 exp-sqrt_binary64_3200 e-exp-1_binary64_3192 exp-0_binary64_3189 cube-neg_binary64_3174 rem-cbrt-cube_binary64_3171 rem-cube-cbrt_binary64_3170 sqr-abs_binary64_3162 sqr-neg_binary64_3161 /-rgt-identity_binary64_3138 +-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
Counts
138 → 125
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
01873253
14713121
213062897
329822752
448302666
548022654
648752654
749102654

prune197.0ms (3%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1223125
Fresh123
Picked011
Done011
Total1237130
Error
0.0b
Counts
130 → 7
Compiler

Compiled 3401 to 2394 computations (29.6% saved)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b
(cbrt.f64 (+.f64 x (*.f64 y -3/8)))
0.6b
(cbrt.f64 (+.f64 (*.f64 -3/8 y) x))
0.6b
(cbrt.f64 (+.f64 (*.f64 -3/8 y) x))
0.6b
(cbrt.f64 (cbrt.f64 (+.f64 x (*.f64 y -3/8))))

rewrite150.0ms (2.3%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
18×cbrt-prod_binary64_3178
10×cbrt-div_binary64_3179
add-cube-cbrt_binary64_3182 add-sqr-sqrt_binary64_3169 *-un-lft-identity_binary64_3147
pow1/3_binary64_3229 pow1_binary64_3208 add-log-exp_binary64_3186 add-exp-log_binary64_3185 add-cbrt-cube_binary64_3183 flip3-+_binary64_3150 flip-+_binary64_3121
Counts
4 → 55
Calls

4 calls:

4.0ms
(cbrt.f64 (+.f64 (*.f64 -3/8 y) x))
4.0ms
(cbrt.f64 (+.f64 (*.f64 -3/8 y) x))
3.0ms
(cbrt.f64 (cbrt.f64 (+.f64 x (*.f64 y -3/8))))
3.0ms
(cbrt.f64 (+.f64 x (*.f64 y -3/8)))
Compiler

Compiled 2202 to 1647 computations (25.2% saved)

series737.0ms (11.3%)

Error
0.0b
Counts
4 → 42
Calls

4 calls:

171.0ms
(cbrt.f64 (+.f64 (*.f64 -3/8 y) x))
166.0ms
(cbrt.f64 (+.f64 x (*.f64 y -3/8)))
164.0ms
(cbrt.f64 (+.f64 (*.f64 -3/8 y) x))
146.0ms
(cbrt.f64 (cbrt.f64 (+.f64 x (*.f64 y -3/8))))
Compiler

Compiled 4576 to 3754 computations (18% saved)

simplify124.0ms (1.9%)

Algorithm
egg-herbie
Rules
422×cancel-sign-sub-inv_binary64_3113
336×distribute-rgt-neg-in_binary64_3105
319×distribute-lft-neg-in_binary64_3104
311×associate-*l*_binary64_3088
292×associate-*r*_binary64_3087
254×distribute-rgt-in_binary64_3097
245×times-frac_binary64_3153
230×unswap-sqr_binary64_3115
133×exp-sum_binary64_3193
128×*-commutative_binary64_3078
108×sub-neg_binary64_3140
103×sqr-pow_binary64_3119
88×div-sub_binary64_3152
73×neg-sub0_binary64_3142
65×neg-mul-1_binary64_3143
64×exp-prod_binary64_3199
61×distribute-rgt-out_binary64_3100
46×exp-diff_binary64_3195
43×unsub-neg_binary64_3141
41×distribute-lft-neg-out_binary64_3106
35×cube-unmult_binary64_3184
34×log-prod_binary64_3233
32×distribute-lft-in_binary64_3096
31×distribute-neg-frac_binary64_3111
30×distribute-rgt-neg-out_binary64_3107
28×distribute-lft-out_binary64_3098
26×associate-/l*_binary64_3092
25×associate-/r*_binary64_3091 +-commutative_binary64_3077
24×unpow3_binary64_3213
23×associate-+r-_binary64_3081
22×distribute-rgt-out--_binary64_3101
20×exp-to-pow_binary64_3209 cube-prod_binary64_3175
17×associate-+l-_binary64_3082
14×log-div_binary64_3234 pow-sqr_binary64_3120 associate-*r/_binary64_3089
13×log-pow_binary64_3236 pow-plus_binary64_3210 +-rgt-identity_binary64_3132 distribute-neg-in_binary64_3108
12×unpow1/3_binary64_3214 exp-neg_binary64_3194 sub0-neg_binary64_3134 associate-/r/_binary64_3093
10×distribute-lft-out--_binary64_3099 associate-*l/_binary64_3090
rem-exp-log_binary64_3187
swap-sqr_binary64_3114 associate--r-_binary64_3086
cube-mult_binary64_3177
cube-div_binary64_3176 rem-sqrt-square_binary64_3160 associate-+l+_binary64_3080
div-exp_binary64_3198 prod-exp_binary64_3196 distribute-rgt1-in_binary64_3103 associate--r+_binary64_3083
unpow2_binary64_3212 rem-3cbrt-lft_binary64_3172 --rgt-identity_binary64_3133 distribute-frac-neg_binary64_3110
log-rec_binary64_3235 unpow1/2_binary64_3211 unpow1_binary64_3205 mul-1-neg_binary64_3139 difference-of-squares_binary64_3116 associate--l+_binary64_3084 associate-+r+_binary64_3079
log-E_binary64_3237 1-exp_binary64_3191 exp-1-e_binary64_3190 rem-cbrt-cube_binary64_3171 remove-double-neg_binary64_3135
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 pow-base-0_binary64_3231 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 rec-exp_binary64_3197 e-exp-1_binary64_3192 exp-0_binary64_3189 rem-log-exp_binary64_3188 cube-neg_binary64_3174 rem-3cbrt-rft_binary64_3173 rem-cube-cbrt_binary64_3170 sqr-abs_binary64_3162 sqr-neg_binary64_3161 rem-square-sqrt_binary64_3159 /-rgt-identity_binary64_3138 *-rgt-identity_binary64_3137 *-lft-identity_binary64_3136 +-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-neg-out_binary64_3109 distribute-lft1-in_binary64_3102 count-2_binary64_3095 associate-/l/_binary64_3094 associate--l-_binary64_3085
Counts
97 → 72
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01411776
13161758
27281725
321951526
446971498
549761498
648831498

prune163.0ms (2.5%)

Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New70272
Fresh044
Picked011
Done022
Total70979
Error
0.0b
Counts
79 → 9
Compiler

Compiled 2853 to 2113 computations (25.9% saved)

localize23.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b
(cbrt.f64 (+.f64 x (*.f64 y -3/8)))
0.6b
(cbrt.f64 (cbrt.f64 (+.f64 (*.f64 -3/8 y) x)))
0.6b
(cbrt.f64 (cbrt.f64 (+.f64 (*.f64 -3/8 y) x)))
0.6b
(cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (*.f64 -3/8 y) x))) 2))

rewrite249.0ms (3.8%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
44×cbrt-prod_binary64_3178
13×add-cube-cbrt_binary64_3182 add-sqr-sqrt_binary64_3169 *-un-lft-identity_binary64_3147
10×cbrt-div_binary64_3179
unpow-prod-down_binary64_3226
pow1/3_binary64_3229 pow1_binary64_3208 add-log-exp_binary64_3186 add-exp-log_binary64_3185 add-cbrt-cube_binary64_3183
flip3-+_binary64_3150 flip-+_binary64_3121
unpow2_binary64_3212 sqr-pow_binary64_3119
Counts
4 → 67
Calls

4 calls:

7.0ms
(cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (*.f64 -3/8 y) x))) 2))
7.0ms
(cbrt.f64 (cbrt.f64 (+.f64 (*.f64 -3/8 y) x)))
5.0ms
(cbrt.f64 (cbrt.f64 (+.f64 (*.f64 -3/8 y) x)))
3.0ms
(cbrt.f64 (+.f64 x (*.f64 y -3/8)))
Compiler

Compiled 3557 to 2756 computations (22.5% saved)

series705.0ms (10.8%)

Error
0.0b
Counts
4 → 34
Calls

4 calls:

172.0ms
(cbrt.f64 (+.f64 x (*.f64 y -3/8)))
161.0ms
(cbrt.f64 (cbrt.f64 (+.f64 (*.f64 -3/8 y) x)))
144.0ms
(cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (*.f64 -3/8 y) x))) 2))
137.0ms
(cbrt.f64 (cbrt.f64 (+.f64 (*.f64 -3/8 y) x)))
Compiler

Compiled 4720 to 3880 computations (17.8% saved)

simplify95.0ms (1.5%)

Algorithm
egg-herbie
Rules
446×associate-*l*_binary64_3088
443×cancel-sign-sub-inv_binary64_3113
404×associate-*r*_binary64_3087
245×times-frac_binary64_3153
194×sqr-pow_binary64_3119
187×exp-prod_binary64_3199
153×*-commutative_binary64_3078
121×sub-neg_binary64_3140
101×log-prod_binary64_3233
92×distribute-rgt-neg-in_binary64_3105
90×cube-prod_binary64_3175
82×unswap-sqr_binary64_3115 distribute-lft-neg-in_binary64_3104
81×neg-sub0_binary64_3142
73×exp-sum_binary64_3193
71×neg-mul-1_binary64_3143
68×swap-sqr_binary64_3114
56×unsub-neg_binary64_3141
52×distribute-rgt-in_binary64_3097
40×distribute-lft-in_binary64_3096
35×cube-unmult_binary64_3184
34×div-sub_binary64_3152
32×exp-diff_binary64_3195
30×pow-sqr_binary64_3120
27×+-commutative_binary64_3077
26×pow-plus_binary64_3210 rem-sqrt-square_binary64_3160 associate-/l*_binary64_3092
25×associate-/r*_binary64_3091 associate-+r-_binary64_3081
21×distribute-lft-neg-out_binary64_3106
19×exp-to-pow_binary64_3209 associate-+l-_binary64_3082
18×log-pow_binary64_3236
14×sub0-neg_binary64_3134 +-rgt-identity_binary64_3132 distribute-neg-frac_binary64_3111 associate-*r/_binary64_3089
13×unpow2_binary64_3212 unpow1/2_binary64_3211 unpow1_binary64_3205
12×unpow3_binary64_3213 exp-neg_binary64_3194 associate-/r/_binary64_3093
10×distribute-rgt-neg-out_binary64_3107 distribute-rgt-out--_binary64_3101 associate-*l/_binary64_3090
unpow1/3_binary64_3214
cube-mult_binary64_3177 associate--r-_binary64_3086
exp-lft-sqr_binary64_3202 rem-exp-log_binary64_3187 associate-+l+_binary64_3080
distribute-rgt-out_binary64_3100
log-div_binary64_3234 distribute-neg-in_binary64_3108 associate--r+_binary64_3083
rem-3cbrt-lft_binary64_3172 --rgt-identity_binary64_3133 distribute-lft-out--_binary64_3099 associate-+r+_binary64_3079
mul-1-neg_binary64_3139 remove-double-neg_binary64_3135 difference-of-squares_binary64_3116 associate--l+_binary64_3084
log-rec_binary64_3235 1-exp_binary64_3191 rem-3cbrt-rft_binary64_3173 rem-cbrt-cube_binary64_3171 rem-square-sqrt_binary64_3159 *-rgt-identity_binary64_3137
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 pow-base-1_binary64_3207 unpow0_binary64_3206 unpow-1_binary64_3204 exp-lft-cube_binary64_3203 exp-cbrt_binary64_3201 exp-sqrt_binary64_3200 div-exp_binary64_3198 rec-exp_binary64_3197 prod-exp_binary64_3196 e-exp-1_binary64_3192 exp-1-e_binary64_3190 exp-0_binary64_3189 rem-log-exp_binary64_3188 cube-div_binary64_3176 cube-neg_binary64_3174 rem-cube-cbrt_binary64_3170 sqr-abs_binary64_3162 sqr-neg_binary64_3161 /-rgt-identity_binary64_3138 *-lft-identity_binary64_3136 +-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 distribute-lft-out_binary64_3098 count-2_binary64_3095 associate-/l/_binary64_3094 associate--l-_binary64_3085
Counts
101 → 80
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01891986
14211901
29301894
330671810
451401810

prune241.0ms (3.7%)

Pruning

11 alts after pruning (7 fresh and 4 done)

PrunedKeptTotal
New78280
Fresh055
Picked011
Done033
Total781189
Error
0.0b
Counts
89 → 11
Compiler

Compiled 3959 to 3047 computations (23% saved)

regimes485.0ms (7.4%)

Accuracy

Total 0.1b remaining (77.4%)

Threshold costs 0.1b (77.4%)

Compiler

Compiled 5364 to 4342 computations (19.1% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm
egg-herbie
Rules
sub-neg_binary64_3140 *-commutative_binary64_3078 +-commutative_binary64_3077
neg-mul-1_binary64_3143 neg-sub0_binary64_3142
cancel-sign-sub-inv_binary64_3113 distribute-rgt-neg-in_binary64_3105
distribute-lft-neg-out_binary64_3106 distribute-lft-neg-in_binary64_3104
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 unsub-neg_binary64_3141 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_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
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
097
1157
2257
3317
4357
5367
6357

end0.0ms (0%)

sample1.6s (24.8%)

Algorithm
intervals
Results
170.0ms7383×body128valid
16.0ms180×body2048valid
14.0ms202×body1024valid
12.0ms154×body512valid
3.0ms81×body256valid
Compiler

Compiled 1347 to 1092 computations (18.9% saved)

Profiling

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