Details

Time bar (total: 1.2s)

analyze648.0ms (53.7%)

Algorithm
search
egg-herbie
Rules
103×cancel-sign-sub-inv_binary64_7205
94×associate-*r*_binary64_7179
80×associate-*l*_binary64_7180
64×sub-neg_binary64_7232
63×distribute-rgt-in_binary64_7189
48×unsub-neg_binary64_7233 distribute-lft-in_binary64_7188
43×distribute-rgt-neg-in_binary64_7197
42×distribute-rgt-neg-out_binary64_7199
33×distribute-lft-neg-in_binary64_7196 associate--r+_binary64_7175
31×distribute-lft-neg-out_binary64_7198
25×*-commutative_binary64_7170
24×neg-sub0_binary64_7234
21×associate-+l-_binary64_7174
18×neg-mul-1_binary64_7235
15×distribute-neg-in_binary64_7200 +-commutative_binary64_7169
12×mul0-rgt_binary64_7222 mul0-lft_binary64_7221
sub0-neg_binary64_7226
associate--r-_binary64_7178 associate--l+_binary64_7176 associate-+r-_binary64_7173 associate-+r+_binary64_7171
*-lft-identity_binary64_7228 remove-double-neg_binary64_7227 --rgt-identity_binary64_7225 +-rgt-identity_binary64_7224 +-lft-identity_binary64_7223 distribute-rgt-out--_binary64_7193 associate-+l+_binary64_7172
1-exp_binary64_7283 swap-y-z
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_7502 erf-erfc_binary64_7501 erf-odd_binary64_7500 if-if-and-not_binary64_7499 if-if-and_binary64_7498 if-if-or-not_binary64_7497 if-if-or_binary64_7496 if-not_binary64_7495 if-same_binary64_7494 if-false_binary64_7493 if-true_binary64_7492 not-gte_binary64_7491 not-lte_binary64_7490 not-gt_binary64_7489 not-lt_binary64_7488 gte-same_binary64_7487 lte-same_binary64_7486 gt-same_binary64_7485 lt-same_binary64_7484 sinh---cosh_binary64_7431 sinh-+-cosh_binary64_7430 sinh-cosh_binary64_7429 tanh-def-c_binary64_7428 tanh-def-b_binary64_7427 tanh-def-a_binary64_7426 cosh-def_binary64_7425 sinh-def_binary64_7424 tan-neg_binary64_7371 cos-neg_binary64_7370 sin-neg_binary64_7369 tan-0_binary64_7368 cos-0_binary64_7367 sin-0_binary64_7366 hang-m-tan_binary64_7365 hang-p-tan_binary64_7364 hang-m0-tan_binary64_7363 hang-p0-tan_binary64_7362 hang-0m-tan_binary64_7361 hang-0p-tan_binary64_7360 tan-+PI/2_binary64_7359 tan-+PI_binary64_7358 tan-PI_binary64_7357 tan-PI/3_binary64_7356 tan-PI/4_binary64_7355 tan-PI/6_binary64_7354 cos-+PI/2_binary64_7353 cos-+PI_binary64_7352 cos-PI_binary64_7351 cos-PI/2_binary64_7350 cos-PI/3_binary64_7349 cos-PI/4_binary64_7348 cos-PI/6_binary64_7347 sin-+PI/2_binary64_7346 sin-+PI_binary64_7345 sin-PI_binary64_7344 sin-PI/2_binary64_7343 sin-PI/3_binary64_7342 sin-PI/4_binary64_7341 sin-PI/6_binary64_7340 sub-1-sin_binary64_7339 sub-1-cos_binary64_7338 -1-add-sin_binary64_7337 -1-add-cos_binary64_7336 1-sub-sin_binary64_7335 1-sub-cos_binary64_7334 cos-sin-sum_binary64_7333 log-E_binary64_7329 log-pow_binary64_7328 log-rec_binary64_7327 log-div_binary64_7326 log-prod_binary64_7325 pow-base-0_binary64_7323 unpow1/3_binary64_7306 unpow3_binary64_7305 unpow2_binary64_7304 unpow1/2_binary64_7303 pow-plus_binary64_7302 exp-to-pow_binary64_7301 pow-base-1_binary64_7299 unpow0_binary64_7298 unpow1_binary64_7297 unpow-1_binary64_7296 exp-lft-cube_binary64_7295 exp-lft-sqr_binary64_7294 exp-cbrt_binary64_7293 exp-sqrt_binary64_7292 exp-prod_binary64_7291 div-exp_binary64_7290 rec-exp_binary64_7289 prod-exp_binary64_7288 exp-diff_binary64_7287 exp-neg_binary64_7286 exp-sum_binary64_7285 e-exp-1_binary64_7284 exp-1-e_binary64_7282 exp-0_binary64_7281 rem-log-exp_binary64_7280 rem-exp-log_binary64_7279 cube-unmult_binary64_7276 cube-mult_binary64_7269 cube-div_binary64_7268 cube-prod_binary64_7267 cube-neg_binary64_7266 rem-3cbrt-rft_binary64_7265 rem-3cbrt-lft_binary64_7264 rem-cbrt-cube_binary64_7263 rem-cube-cbrt_binary64_7262 sqr-abs_binary64_7254 sqr-neg_binary64_7253 rem-sqrt-square_binary64_7252 rem-square-sqrt_binary64_7251 times-frac_binary64_7245 div-sub_binary64_7244 mul-1-neg_binary64_7231 /-rgt-identity_binary64_7230 *-rgt-identity_binary64_7229 div0_binary64_7220 *-inverses_binary64_7219 +-inverses_binary64_7218 lft-mult-inverse_binary64_7217 rgt-mult-inverse_binary64_7216 remove-double-div_binary64_7215 pow-sqr_binary64_7212 sqr-pow_binary64_7211 difference-of-sqr--1_binary64_7210 difference-of-sqr-1_binary64_7209 difference-of-squares_binary64_7208 unswap-sqr_binary64_7207 swap-sqr_binary64_7206 cancel-sign-sub_binary64_7204 distribute-neg-frac_binary64_7203 distribute-frac-neg_binary64_7202 distribute-neg-out_binary64_7201 distribute-rgt1-in_binary64_7195 distribute-lft1-in_binary64_7194 distribute-rgt-out_binary64_7192 distribute-lft-out--_binary64_7191 distribute-lft-out_binary64_7190 count-2_binary64_7187 associate-/l/_binary64_7186 associate-/r/_binary64_7185 associate-/l*_binary64_7184 associate-/r*_binary64_7183 associate-*l/_binary64_7182 associate-*r/_binary64_7181 associate--l-_binary64_7177
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01640
14140
210540
319840
421340
537840
634140
748240
847340
947640
1047640
1142340
033
133
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
0%99.9%0.1%5
0%99.9%0.1%6
18.7%81.1%0.1%7
21.8%78%0.1%8
43.7%56.2%0.1%9
54.6%39%6.4%10
58.5%35.1%6.4%11
67.3%26.3%6.4%12
71.7%18.8%9.5%13
74.1%16.4%9.5%14
Symmetry

(sort y z)

Compiler

Compiled 8 to 8 computations (0% saved)

sample24.0ms (2%)

Algorithm
intervals
Results
6.0ms256×body128valid
3.0msbody128invalid
Compiler

Compiled 15 to 18 computations (-20% saved)

simplify17.0ms (1.4%)

Algorithm
egg-herbie
Rules
56×cancel-sign-sub-inv_binary64_7205
36×distribute-rgt-neg-in_binary64_7197
30×sub-neg_binary64_7232
20×distribute-lft-neg-in_binary64_7196
19×neg-mul-1_binary64_7235 distribute-rgt-in_binary64_7189
17×unsub-neg_binary64_7233
16×neg-sub0_binary64_7234
14×+-lft-identity_binary64_7223 associate-*r*_binary64_7179
13×distribute-lft-neg-out_binary64_7198 distribute-lft-in_binary64_7188 associate--r+_binary64_7175 *-commutative_binary64_7170
12×+-commutative_binary64_7169
10×distribute-rgt-neg-out_binary64_7199 associate-*l*_binary64_7180
sub0-neg_binary64_7226 associate-+l-_binary64_7174
mul0-rgt_binary64_7222 mul0-lft_binary64_7221
remove-double-neg_binary64_7227 --rgt-identity_binary64_7225
*-lft-identity_binary64_7228 distribute-neg-in_binary64_7200
associate-+l+_binary64_7172
*-rgt-identity_binary64_7229 associate--r-_binary64_7178
1-exp_binary64_7283 +-rgt-identity_binary64_7224 associate--l+_binary64_7176 associate-+r-_binary64_7173 associate-+r+_binary64_7171
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_7502 erf-erfc_binary64_7501 erf-odd_binary64_7500 if-if-and-not_binary64_7499 if-if-and_binary64_7498 if-if-or-not_binary64_7497 if-if-or_binary64_7496 if-not_binary64_7495 if-same_binary64_7494 if-false_binary64_7493 if-true_binary64_7492 not-gte_binary64_7491 not-lte_binary64_7490 not-gt_binary64_7489 not-lt_binary64_7488 gte-same_binary64_7487 lte-same_binary64_7486 gt-same_binary64_7485 lt-same_binary64_7484 sinh---cosh_binary64_7431 sinh-+-cosh_binary64_7430 sinh-cosh_binary64_7429 tanh-def-c_binary64_7428 tanh-def-b_binary64_7427 tanh-def-a_binary64_7426 cosh-def_binary64_7425 sinh-def_binary64_7424 tan-neg_binary64_7371 cos-neg_binary64_7370 sin-neg_binary64_7369 tan-0_binary64_7368 cos-0_binary64_7367 sin-0_binary64_7366 hang-m-tan_binary64_7365 hang-p-tan_binary64_7364 hang-m0-tan_binary64_7363 hang-p0-tan_binary64_7362 hang-0m-tan_binary64_7361 hang-0p-tan_binary64_7360 tan-+PI/2_binary64_7359 tan-+PI_binary64_7358 tan-PI_binary64_7357 tan-PI/3_binary64_7356 tan-PI/4_binary64_7355 tan-PI/6_binary64_7354 cos-+PI/2_binary64_7353 cos-+PI_binary64_7352 cos-PI_binary64_7351 cos-PI/2_binary64_7350 cos-PI/3_binary64_7349 cos-PI/4_binary64_7348 cos-PI/6_binary64_7347 sin-+PI/2_binary64_7346 sin-+PI_binary64_7345 sin-PI_binary64_7344 sin-PI/2_binary64_7343 sin-PI/3_binary64_7342 sin-PI/4_binary64_7341 sin-PI/6_binary64_7340 sub-1-sin_binary64_7339 sub-1-cos_binary64_7338 -1-add-sin_binary64_7337 -1-add-cos_binary64_7336 1-sub-sin_binary64_7335 1-sub-cos_binary64_7334 cos-sin-sum_binary64_7333 log-E_binary64_7329 log-pow_binary64_7328 log-rec_binary64_7327 log-div_binary64_7326 log-prod_binary64_7325 pow-base-0_binary64_7323 unpow1/3_binary64_7306 unpow3_binary64_7305 unpow2_binary64_7304 unpow1/2_binary64_7303 pow-plus_binary64_7302 exp-to-pow_binary64_7301 pow-base-1_binary64_7299 unpow0_binary64_7298 unpow1_binary64_7297 unpow-1_binary64_7296 exp-lft-cube_binary64_7295 exp-lft-sqr_binary64_7294 exp-cbrt_binary64_7293 exp-sqrt_binary64_7292 exp-prod_binary64_7291 div-exp_binary64_7290 rec-exp_binary64_7289 prod-exp_binary64_7288 exp-diff_binary64_7287 exp-neg_binary64_7286 exp-sum_binary64_7285 e-exp-1_binary64_7284 exp-1-e_binary64_7282 exp-0_binary64_7281 rem-log-exp_binary64_7280 rem-exp-log_binary64_7279 cube-unmult_binary64_7276 cube-mult_binary64_7269 cube-div_binary64_7268 cube-prod_binary64_7267 cube-neg_binary64_7266 rem-3cbrt-rft_binary64_7265 rem-3cbrt-lft_binary64_7264 rem-cbrt-cube_binary64_7263 rem-cube-cbrt_binary64_7262 sqr-abs_binary64_7254 sqr-neg_binary64_7253 rem-sqrt-square_binary64_7252 rem-square-sqrt_binary64_7251 times-frac_binary64_7245 div-sub_binary64_7244 mul-1-neg_binary64_7231 /-rgt-identity_binary64_7230 div0_binary64_7220 *-inverses_binary64_7219 +-inverses_binary64_7218 lft-mult-inverse_binary64_7217 rgt-mult-inverse_binary64_7216 remove-double-div_binary64_7215 pow-sqr_binary64_7212 sqr-pow_binary64_7211 difference-of-sqr--1_binary64_7210 difference-of-sqr-1_binary64_7209 difference-of-squares_binary64_7208 unswap-sqr_binary64_7207 swap-sqr_binary64_7206 cancel-sign-sub_binary64_7204 distribute-neg-frac_binary64_7203 distribute-frac-neg_binary64_7202 distribute-neg-out_binary64_7201 distribute-rgt1-in_binary64_7195 distribute-lft1-in_binary64_7194 distribute-rgt-out--_binary64_7193 distribute-rgt-out_binary64_7192 distribute-lft-out--_binary64_7191 distribute-lft-out_binary64_7190 count-2_binary64_7187 associate-/l/_binary64_7186 associate-/r/_binary64_7185 associate-/l*_binary64_7184 associate-/r*_binary64_7183 associate-*l/_binary64_7182 associate-*r/_binary64_7181 associate--l-_binary64_7177
Counts
1 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0810
11710
24310
38210
49410
512910
615110
717210
824410
924810
1025410
1120910

prune2.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Compiled 7 to 7 computations (0% saved)

localize5.0ms (0.4%)

rewrite1.0ms (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)

simplify7.0ms (0.6%)

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_7502 erf-erfc_binary64_7501 erf-odd_binary64_7500 if-if-and-not_binary64_7499 if-if-and_binary64_7498 if-if-or-not_binary64_7497 if-if-or_binary64_7496 if-not_binary64_7495 if-same_binary64_7494 if-false_binary64_7493 if-true_binary64_7492 not-gte_binary64_7491 not-lte_binary64_7490 not-gt_binary64_7489 not-lt_binary64_7488 gte-same_binary64_7487 lte-same_binary64_7486 gt-same_binary64_7485 lt-same_binary64_7484 sinh---cosh_binary64_7431 sinh-+-cosh_binary64_7430 sinh-cosh_binary64_7429 tanh-def-c_binary64_7428 tanh-def-b_binary64_7427 tanh-def-a_binary64_7426 cosh-def_binary64_7425 sinh-def_binary64_7424 tan-neg_binary64_7371 cos-neg_binary64_7370 sin-neg_binary64_7369 tan-0_binary64_7368 cos-0_binary64_7367 sin-0_binary64_7366 hang-m-tan_binary64_7365 hang-p-tan_binary64_7364 hang-m0-tan_binary64_7363 hang-p0-tan_binary64_7362 hang-0m-tan_binary64_7361 hang-0p-tan_binary64_7360 tan-+PI/2_binary64_7359 tan-+PI_binary64_7358 tan-PI_binary64_7357 tan-PI/3_binary64_7356 tan-PI/4_binary64_7355 tan-PI/6_binary64_7354 cos-+PI/2_binary64_7353 cos-+PI_binary64_7352 cos-PI_binary64_7351 cos-PI/2_binary64_7350 cos-PI/3_binary64_7349 cos-PI/4_binary64_7348 cos-PI/6_binary64_7347 sin-+PI/2_binary64_7346 sin-+PI_binary64_7345 sin-PI_binary64_7344 sin-PI/2_binary64_7343 sin-PI/3_binary64_7342 sin-PI/4_binary64_7341 sin-PI/6_binary64_7340 sub-1-sin_binary64_7339 sub-1-cos_binary64_7338 -1-add-sin_binary64_7337 -1-add-cos_binary64_7336 1-sub-sin_binary64_7335 1-sub-cos_binary64_7334 cos-sin-sum_binary64_7333 log-E_binary64_7329 log-pow_binary64_7328 log-rec_binary64_7327 log-div_binary64_7326 log-prod_binary64_7325 pow-base-0_binary64_7323 unpow1/3_binary64_7306 unpow3_binary64_7305 unpow2_binary64_7304 unpow1/2_binary64_7303 pow-plus_binary64_7302 exp-to-pow_binary64_7301 pow-base-1_binary64_7299 unpow0_binary64_7298 unpow1_binary64_7297 unpow-1_binary64_7296 exp-lft-cube_binary64_7295 exp-lft-sqr_binary64_7294 exp-cbrt_binary64_7293 exp-sqrt_binary64_7292 exp-prod_binary64_7291 div-exp_binary64_7290 rec-exp_binary64_7289 prod-exp_binary64_7288 exp-diff_binary64_7287 exp-neg_binary64_7286 exp-sum_binary64_7285 e-exp-1_binary64_7284 1-exp_binary64_7283 exp-1-e_binary64_7282 exp-0_binary64_7281 rem-log-exp_binary64_7280 rem-exp-log_binary64_7279 cube-unmult_binary64_7276 cube-mult_binary64_7269 cube-div_binary64_7268 cube-prod_binary64_7267 cube-neg_binary64_7266 rem-3cbrt-rft_binary64_7265 rem-3cbrt-lft_binary64_7264 rem-cbrt-cube_binary64_7263 rem-cube-cbrt_binary64_7262 sqr-abs_binary64_7254 sqr-neg_binary64_7253 rem-sqrt-square_binary64_7252 rem-square-sqrt_binary64_7251 times-frac_binary64_7245 div-sub_binary64_7244 neg-mul-1_binary64_7235 neg-sub0_binary64_7234 unsub-neg_binary64_7233 sub-neg_binary64_7232 mul-1-neg_binary64_7231 /-rgt-identity_binary64_7230 *-rgt-identity_binary64_7229 *-lft-identity_binary64_7228 remove-double-neg_binary64_7227 sub0-neg_binary64_7226 --rgt-identity_binary64_7225 +-rgt-identity_binary64_7224 +-lft-identity_binary64_7223 mul0-rgt_binary64_7222 mul0-lft_binary64_7221 div0_binary64_7220 *-inverses_binary64_7219 +-inverses_binary64_7218 lft-mult-inverse_binary64_7217 rgt-mult-inverse_binary64_7216 remove-double-div_binary64_7215 pow-sqr_binary64_7212 sqr-pow_binary64_7211 difference-of-sqr--1_binary64_7210 difference-of-sqr-1_binary64_7209 difference-of-squares_binary64_7208 unswap-sqr_binary64_7207 swap-sqr_binary64_7206 cancel-sign-sub-inv_binary64_7205 cancel-sign-sub_binary64_7204 distribute-neg-frac_binary64_7203 distribute-frac-neg_binary64_7202 distribute-neg-out_binary64_7201 distribute-neg-in_binary64_7200 distribute-rgt-neg-out_binary64_7199 distribute-lft-neg-out_binary64_7198 distribute-rgt-neg-in_binary64_7197 distribute-lft-neg-in_binary64_7196 distribute-rgt1-in_binary64_7195 distribute-lft1-in_binary64_7194 distribute-rgt-out--_binary64_7193 distribute-rgt-out_binary64_7192 distribute-lft-out--_binary64_7191 distribute-lft-out_binary64_7190 distribute-rgt-in_binary64_7189 distribute-lft-in_binary64_7188 count-2_binary64_7187 associate-/l/_binary64_7186 associate-/r/_binary64_7185 associate-/l*_binary64_7184 associate-/r*_binary64_7183 associate-*l/_binary64_7182 associate-*r/_binary64_7181 associate-*l*_binary64_7180 associate-*r*_binary64_7179 associate--r-_binary64_7178 associate--l-_binary64_7177 associate--l+_binary64_7176 associate--r+_binary64_7175 associate-+l-_binary64_7174 associate-+r-_binary64_7173 associate-+l+_binary64_7172 associate-+r+_binary64_7171 *-commutative_binary64_7170 +-commutative_binary64_7169
Counts
0 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
100

prune1.0ms (0.1%)

Pruning

1 alts after pruning (0 fresh and 1 done)

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

Compiled 7 to 7 computations (0% saved)

simplify9.0ms (0.7%)

Algorithm
egg-herbie
Rules
*-commutative_binary64_7170
sub-neg_binary64_7232 +-commutative_binary64_7169
neg-mul-1_binary64_7235 neg-sub0_binary64_7234
distribute-rgt-neg-in_binary64_7197
distribute-lft-neg-in_binary64_7196
cancel-sign-sub-inv_binary64_7205
distribute-lft-neg-out_binary64_7198
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_7499 if-if-and_binary64_7498 if-if-or-not_binary64_7497 if-if-or_binary64_7496 if-not_binary64_7495 if-same_binary64_7494 if-false_binary64_7493 if-true_binary64_7492 tan-0_binary64_7368 cos-0_binary64_7367 sin-0_binary64_7366 unpow1_binary64_7297 e-exp-1_binary64_7284 1-exp_binary64_7283 exp-1-e_binary64_7282 exp-0_binary64_7281 sqr-abs_binary64_7254 sqr-neg_binary64_7253 unsub-neg_binary64_7233 mul-1-neg_binary64_7231 /-rgt-identity_binary64_7230 *-rgt-identity_binary64_7229 *-lft-identity_binary64_7228 remove-double-neg_binary64_7227 sub0-neg_binary64_7226 --rgt-identity_binary64_7225 +-rgt-identity_binary64_7224 +-lft-identity_binary64_7223 cancel-sign-sub_binary64_7204 distribute-neg-frac_binary64_7203 distribute-frac-neg_binary64_7202 distribute-neg-out_binary64_7201 distribute-neg-in_binary64_7200 distribute-rgt-neg-out_binary64_7199
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0810
11510
23110
34110
44910
55210
65210
Remove

(sort y z)

Compiler

Compiled 14 to 14 computations (0% saved)

end0.0ms (0%)

sample494.0ms (40.9%)

Algorithm
intervals
Results
192.0ms8000×body128valid
6.0ms278×body128invalid
Compiler

Compiled 22 to 25 computations (-13.6% saved)

Profiling

Loading profile data...