Details

Time bar (total: 588.0ms)

analyze148.0ms (25.1%)

Algorithm
search
egg-herbie
Rules
sub-neg_binary64_8255
*-commutative_binary64_8193 +-commutative_binary64_8192
1-exp_binary64_8306 div-sub_binary64_8267 neg-mul-1_binary64_8258 neg-sub0_binary64_8257 sub0-neg_binary64_8249 --rgt-identity_binary64_8248 div0_binary64_8243 *-inverses_binary64_8242 +-inverses_binary64_8241 associate-*r/_binary64_8204 associate--r+_binary64_8198 associate-+l-_binary64_8197
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_8525 erf-erfc_binary64_8524 erf-odd_binary64_8523 if-if-and-not_binary64_8522 if-if-and_binary64_8521 if-if-or-not_binary64_8520 if-if-or_binary64_8519 if-not_binary64_8518 if-same_binary64_8517 if-false_binary64_8516 if-true_binary64_8515 not-gte_binary64_8514 not-lte_binary64_8513 not-gt_binary64_8512 not-lt_binary64_8511 gte-same_binary64_8510 lte-same_binary64_8509 gt-same_binary64_8508 lt-same_binary64_8507 sinh---cosh_binary64_8454 sinh-+-cosh_binary64_8453 sinh-cosh_binary64_8452 tanh-def-c_binary64_8451 tanh-def-b_binary64_8450 tanh-def-a_binary64_8449 cosh-def_binary64_8448 sinh-def_binary64_8447 tan-neg_binary64_8394 cos-neg_binary64_8393 sin-neg_binary64_8392 tan-0_binary64_8391 cos-0_binary64_8390 sin-0_binary64_8389 hang-m-tan_binary64_8388 hang-p-tan_binary64_8387 hang-m0-tan_binary64_8386 hang-p0-tan_binary64_8385 hang-0m-tan_binary64_8384 hang-0p-tan_binary64_8383 tan-+PI/2_binary64_8382 tan-+PI_binary64_8381 tan-PI_binary64_8380 tan-PI/3_binary64_8379 tan-PI/4_binary64_8378 tan-PI/6_binary64_8377 cos-+PI/2_binary64_8376 cos-+PI_binary64_8375 cos-PI_binary64_8374 cos-PI/2_binary64_8373 cos-PI/3_binary64_8372 cos-PI/4_binary64_8371 cos-PI/6_binary64_8370 sin-+PI/2_binary64_8369 sin-+PI_binary64_8368 sin-PI_binary64_8367 sin-PI/2_binary64_8366 sin-PI/3_binary64_8365 sin-PI/4_binary64_8364 sin-PI/6_binary64_8363 sub-1-sin_binary64_8362 sub-1-cos_binary64_8361 -1-add-sin_binary64_8360 -1-add-cos_binary64_8359 1-sub-sin_binary64_8358 1-sub-cos_binary64_8357 cos-sin-sum_binary64_8356 log-E_binary64_8352 log-pow_binary64_8351 log-rec_binary64_8350 log-div_binary64_8349 log-prod_binary64_8348 pow-base-0_binary64_8346 unpow1/3_binary64_8329 unpow3_binary64_8328 unpow2_binary64_8327 unpow1/2_binary64_8326 pow-plus_binary64_8325 exp-to-pow_binary64_8324 pow-base-1_binary64_8322 unpow0_binary64_8321 unpow1_binary64_8320 unpow-1_binary64_8319 exp-lft-cube_binary64_8318 exp-lft-sqr_binary64_8317 exp-cbrt_binary64_8316 exp-sqrt_binary64_8315 exp-prod_binary64_8314 div-exp_binary64_8313 rec-exp_binary64_8312 prod-exp_binary64_8311 exp-diff_binary64_8310 exp-neg_binary64_8309 exp-sum_binary64_8308 e-exp-1_binary64_8307 exp-1-e_binary64_8305 exp-0_binary64_8304 rem-log-exp_binary64_8303 rem-exp-log_binary64_8302 cube-unmult_binary64_8299 cube-mult_binary64_8292 cube-div_binary64_8291 cube-prod_binary64_8290 cube-neg_binary64_8289 rem-3cbrt-rft_binary64_8288 rem-3cbrt-lft_binary64_8287 rem-cbrt-cube_binary64_8286 rem-cube-cbrt_binary64_8285 sqr-abs_binary64_8277 sqr-neg_binary64_8276 rem-sqrt-square_binary64_8275 rem-square-sqrt_binary64_8274 times-frac_binary64_8268 unsub-neg_binary64_8256 mul-1-neg_binary64_8254 /-rgt-identity_binary64_8253 *-rgt-identity_binary64_8252 *-lft-identity_binary64_8251 remove-double-neg_binary64_8250 +-rgt-identity_binary64_8247 +-lft-identity_binary64_8246 mul0-rgt_binary64_8245 mul0-lft_binary64_8244 lft-mult-inverse_binary64_8240 rgt-mult-inverse_binary64_8239 remove-double-div_binary64_8238 pow-sqr_binary64_8235 sqr-pow_binary64_8234 difference-of-sqr--1_binary64_8233 difference-of-sqr-1_binary64_8232 difference-of-squares_binary64_8231 unswap-sqr_binary64_8230 swap-sqr_binary64_8229 cancel-sign-sub-inv_binary64_8228 cancel-sign-sub_binary64_8227 distribute-neg-frac_binary64_8226 distribute-frac-neg_binary64_8225 distribute-neg-out_binary64_8224 distribute-neg-in_binary64_8223 distribute-rgt-neg-out_binary64_8222 distribute-lft-neg-out_binary64_8221 distribute-rgt-neg-in_binary64_8220 distribute-lft-neg-in_binary64_8219 distribute-rgt1-in_binary64_8218 distribute-lft1-in_binary64_8217 distribute-rgt-out--_binary64_8216 distribute-rgt-out_binary64_8215 distribute-lft-out--_binary64_8214 distribute-lft-out_binary64_8213 distribute-rgt-in_binary64_8212 distribute-lft-in_binary64_8211 count-2_binary64_8210 associate-/l/_binary64_8209 associate-/r/_binary64_8208 associate-/l*_binary64_8207 associate-/r*_binary64_8206 associate-*l/_binary64_8205 associate-*l*_binary64_8203 associate-*r*_binary64_8202 associate--r-_binary64_8201 associate--l-_binary64_8200 associate--l+_binary64_8199 associate-+r-_binary64_8196 associate-+l+_binary64_8195 associate-+r+_binary64_8194
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
064
1131
2221
3251
4271
5291
6301
7351
8171
011
111
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
0%100%0%3
87.5%12.5%0%4
93.7%6.2%0%5
96.8%3.1%0%6
98.4%1.6%0%7
99.2%0.8%0%8
99.6%0.4%0%9
99.8%0.2%0%10
99.9%0.1%0%11
99.9%0%0%12
99.9%0%0%13
99.9%0%0%14
Compiler

Compiled 8 to 6 computations (25% saved)

sample11.0ms (1.9%)

Algorithm
intervals
Results
5.0ms256×body128valid
Compiler

Compiled 15 to 12 computations (20% saved)

simplify9.0ms (1.5%)

Algorithm
egg-herbie
Rules
sub-neg_binary64_8255
*-commutative_binary64_8193 +-commutative_binary64_8192
1-exp_binary64_8306 div-sub_binary64_8267 neg-mul-1_binary64_8258 neg-sub0_binary64_8257 sub0-neg_binary64_8249 --rgt-identity_binary64_8248 div0_binary64_8243 *-inverses_binary64_8242 +-inverses_binary64_8241 associate-*r/_binary64_8204 associate--r+_binary64_8198 associate-+l-_binary64_8197
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_8525 erf-erfc_binary64_8524 erf-odd_binary64_8523 if-if-and-not_binary64_8522 if-if-and_binary64_8521 if-if-or-not_binary64_8520 if-if-or_binary64_8519 if-not_binary64_8518 if-same_binary64_8517 if-false_binary64_8516 if-true_binary64_8515 not-gte_binary64_8514 not-lte_binary64_8513 not-gt_binary64_8512 not-lt_binary64_8511 gte-same_binary64_8510 lte-same_binary64_8509 gt-same_binary64_8508 lt-same_binary64_8507 sinh---cosh_binary64_8454 sinh-+-cosh_binary64_8453 sinh-cosh_binary64_8452 tanh-def-c_binary64_8451 tanh-def-b_binary64_8450 tanh-def-a_binary64_8449 cosh-def_binary64_8448 sinh-def_binary64_8447 tan-neg_binary64_8394 cos-neg_binary64_8393 sin-neg_binary64_8392 tan-0_binary64_8391 cos-0_binary64_8390 sin-0_binary64_8389 hang-m-tan_binary64_8388 hang-p-tan_binary64_8387 hang-m0-tan_binary64_8386 hang-p0-tan_binary64_8385 hang-0m-tan_binary64_8384 hang-0p-tan_binary64_8383 tan-+PI/2_binary64_8382 tan-+PI_binary64_8381 tan-PI_binary64_8380 tan-PI/3_binary64_8379 tan-PI/4_binary64_8378 tan-PI/6_binary64_8377 cos-+PI/2_binary64_8376 cos-+PI_binary64_8375 cos-PI_binary64_8374 cos-PI/2_binary64_8373 cos-PI/3_binary64_8372 cos-PI/4_binary64_8371 cos-PI/6_binary64_8370 sin-+PI/2_binary64_8369 sin-+PI_binary64_8368 sin-PI_binary64_8367 sin-PI/2_binary64_8366 sin-PI/3_binary64_8365 sin-PI/4_binary64_8364 sin-PI/6_binary64_8363 sub-1-sin_binary64_8362 sub-1-cos_binary64_8361 -1-add-sin_binary64_8360 -1-add-cos_binary64_8359 1-sub-sin_binary64_8358 1-sub-cos_binary64_8357 cos-sin-sum_binary64_8356 log-E_binary64_8352 log-pow_binary64_8351 log-rec_binary64_8350 log-div_binary64_8349 log-prod_binary64_8348 pow-base-0_binary64_8346 unpow1/3_binary64_8329 unpow3_binary64_8328 unpow2_binary64_8327 unpow1/2_binary64_8326 pow-plus_binary64_8325 exp-to-pow_binary64_8324 pow-base-1_binary64_8322 unpow0_binary64_8321 unpow1_binary64_8320 unpow-1_binary64_8319 exp-lft-cube_binary64_8318 exp-lft-sqr_binary64_8317 exp-cbrt_binary64_8316 exp-sqrt_binary64_8315 exp-prod_binary64_8314 div-exp_binary64_8313 rec-exp_binary64_8312 prod-exp_binary64_8311 exp-diff_binary64_8310 exp-neg_binary64_8309 exp-sum_binary64_8308 e-exp-1_binary64_8307 exp-1-e_binary64_8305 exp-0_binary64_8304 rem-log-exp_binary64_8303 rem-exp-log_binary64_8302 cube-unmult_binary64_8299 cube-mult_binary64_8292 cube-div_binary64_8291 cube-prod_binary64_8290 cube-neg_binary64_8289 rem-3cbrt-rft_binary64_8288 rem-3cbrt-lft_binary64_8287 rem-cbrt-cube_binary64_8286 rem-cube-cbrt_binary64_8285 sqr-abs_binary64_8277 sqr-neg_binary64_8276 rem-sqrt-square_binary64_8275 rem-square-sqrt_binary64_8274 times-frac_binary64_8268 unsub-neg_binary64_8256 mul-1-neg_binary64_8254 /-rgt-identity_binary64_8253 *-rgt-identity_binary64_8252 *-lft-identity_binary64_8251 remove-double-neg_binary64_8250 +-rgt-identity_binary64_8247 +-lft-identity_binary64_8246 mul0-rgt_binary64_8245 mul0-lft_binary64_8244 lft-mult-inverse_binary64_8240 rgt-mult-inverse_binary64_8239 remove-double-div_binary64_8238 pow-sqr_binary64_8235 sqr-pow_binary64_8234 difference-of-sqr--1_binary64_8233 difference-of-sqr-1_binary64_8232 difference-of-squares_binary64_8231 unswap-sqr_binary64_8230 swap-sqr_binary64_8229 cancel-sign-sub-inv_binary64_8228 cancel-sign-sub_binary64_8227 distribute-neg-frac_binary64_8226 distribute-frac-neg_binary64_8225 distribute-neg-out_binary64_8224 distribute-neg-in_binary64_8223 distribute-rgt-neg-out_binary64_8222 distribute-lft-neg-out_binary64_8221 distribute-rgt-neg-in_binary64_8220 distribute-lft-neg-in_binary64_8219 distribute-rgt1-in_binary64_8218 distribute-lft1-in_binary64_8217 distribute-rgt-out--_binary64_8216 distribute-rgt-out_binary64_8215 distribute-lft-out--_binary64_8214 distribute-lft-out_binary64_8213 distribute-rgt-in_binary64_8212 distribute-lft-in_binary64_8211 count-2_binary64_8210 associate-/l/_binary64_8209 associate-/r/_binary64_8208 associate-/l*_binary64_8207 associate-/r*_binary64_8206 associate-*l/_binary64_8205 associate-*l*_binary64_8203 associate-*r*_binary64_8202 associate--r-_binary64_8201 associate--l-_binary64_8200 associate--l+_binary64_8199 associate-+r-_binary64_8196 associate-+l+_binary64_8195 associate-+r+_binary64_8194
Counts
1 → 1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
064
1131
2221
3251
4271
5291
6301
7351
8171

prune2.0ms (0.4%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Compiled 2 to 4 computations (-100% saved)

localize0.0ms (0.1%)

rewrite0.0ms (0.1%)

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

Compiled 0 to 0 computations (0% saved)

series0.0ms (0.1%)

Error
0b
Counts
0 → 0
Compiler

Compiled 0 to 0 computations (0% saved)

simplify7.0ms (1.3%)

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_8525 erf-erfc_binary64_8524 erf-odd_binary64_8523 if-if-and-not_binary64_8522 if-if-and_binary64_8521 if-if-or-not_binary64_8520 if-if-or_binary64_8519 if-not_binary64_8518 if-same_binary64_8517 if-false_binary64_8516 if-true_binary64_8515 not-gte_binary64_8514 not-lte_binary64_8513 not-gt_binary64_8512 not-lt_binary64_8511 gte-same_binary64_8510 lte-same_binary64_8509 gt-same_binary64_8508 lt-same_binary64_8507 sinh---cosh_binary64_8454 sinh-+-cosh_binary64_8453 sinh-cosh_binary64_8452 tanh-def-c_binary64_8451 tanh-def-b_binary64_8450 tanh-def-a_binary64_8449 cosh-def_binary64_8448 sinh-def_binary64_8447 tan-neg_binary64_8394 cos-neg_binary64_8393 sin-neg_binary64_8392 tan-0_binary64_8391 cos-0_binary64_8390 sin-0_binary64_8389 hang-m-tan_binary64_8388 hang-p-tan_binary64_8387 hang-m0-tan_binary64_8386 hang-p0-tan_binary64_8385 hang-0m-tan_binary64_8384 hang-0p-tan_binary64_8383 tan-+PI/2_binary64_8382 tan-+PI_binary64_8381 tan-PI_binary64_8380 tan-PI/3_binary64_8379 tan-PI/4_binary64_8378 tan-PI/6_binary64_8377 cos-+PI/2_binary64_8376 cos-+PI_binary64_8375 cos-PI_binary64_8374 cos-PI/2_binary64_8373 cos-PI/3_binary64_8372 cos-PI/4_binary64_8371 cos-PI/6_binary64_8370 sin-+PI/2_binary64_8369 sin-+PI_binary64_8368 sin-PI_binary64_8367 sin-PI/2_binary64_8366 sin-PI/3_binary64_8365 sin-PI/4_binary64_8364 sin-PI/6_binary64_8363 sub-1-sin_binary64_8362 sub-1-cos_binary64_8361 -1-add-sin_binary64_8360 -1-add-cos_binary64_8359 1-sub-sin_binary64_8358 1-sub-cos_binary64_8357 cos-sin-sum_binary64_8356 log-E_binary64_8352 log-pow_binary64_8351 log-rec_binary64_8350 log-div_binary64_8349 log-prod_binary64_8348 pow-base-0_binary64_8346 unpow1/3_binary64_8329 unpow3_binary64_8328 unpow2_binary64_8327 unpow1/2_binary64_8326 pow-plus_binary64_8325 exp-to-pow_binary64_8324 pow-base-1_binary64_8322 unpow0_binary64_8321 unpow1_binary64_8320 unpow-1_binary64_8319 exp-lft-cube_binary64_8318 exp-lft-sqr_binary64_8317 exp-cbrt_binary64_8316 exp-sqrt_binary64_8315 exp-prod_binary64_8314 div-exp_binary64_8313 rec-exp_binary64_8312 prod-exp_binary64_8311 exp-diff_binary64_8310 exp-neg_binary64_8309 exp-sum_binary64_8308 e-exp-1_binary64_8307 1-exp_binary64_8306 exp-1-e_binary64_8305 exp-0_binary64_8304 rem-log-exp_binary64_8303 rem-exp-log_binary64_8302 cube-unmult_binary64_8299 cube-mult_binary64_8292 cube-div_binary64_8291 cube-prod_binary64_8290 cube-neg_binary64_8289 rem-3cbrt-rft_binary64_8288 rem-3cbrt-lft_binary64_8287 rem-cbrt-cube_binary64_8286 rem-cube-cbrt_binary64_8285 sqr-abs_binary64_8277 sqr-neg_binary64_8276 rem-sqrt-square_binary64_8275 rem-square-sqrt_binary64_8274 times-frac_binary64_8268 div-sub_binary64_8267 neg-mul-1_binary64_8258 neg-sub0_binary64_8257 unsub-neg_binary64_8256 sub-neg_binary64_8255 mul-1-neg_binary64_8254 /-rgt-identity_binary64_8253 *-rgt-identity_binary64_8252 *-lft-identity_binary64_8251 remove-double-neg_binary64_8250 sub0-neg_binary64_8249 --rgt-identity_binary64_8248 +-rgt-identity_binary64_8247 +-lft-identity_binary64_8246 mul0-rgt_binary64_8245 mul0-lft_binary64_8244 div0_binary64_8243 *-inverses_binary64_8242 +-inverses_binary64_8241 lft-mult-inverse_binary64_8240 rgt-mult-inverse_binary64_8239 remove-double-div_binary64_8238 pow-sqr_binary64_8235 sqr-pow_binary64_8234 difference-of-sqr--1_binary64_8233 difference-of-sqr-1_binary64_8232 difference-of-squares_binary64_8231 unswap-sqr_binary64_8230 swap-sqr_binary64_8229 cancel-sign-sub-inv_binary64_8228 cancel-sign-sub_binary64_8227 distribute-neg-frac_binary64_8226 distribute-frac-neg_binary64_8225 distribute-neg-out_binary64_8224 distribute-neg-in_binary64_8223 distribute-rgt-neg-out_binary64_8222 distribute-lft-neg-out_binary64_8221 distribute-rgt-neg-in_binary64_8220 distribute-lft-neg-in_binary64_8219 distribute-rgt1-in_binary64_8218 distribute-lft1-in_binary64_8217 distribute-rgt-out--_binary64_8216 distribute-rgt-out_binary64_8215 distribute-lft-out--_binary64_8214 distribute-lft-out_binary64_8213 distribute-rgt-in_binary64_8212 distribute-lft-in_binary64_8211 count-2_binary64_8210 associate-/l/_binary64_8209 associate-/r/_binary64_8208 associate-/l*_binary64_8207 associate-/r*_binary64_8206 associate-*l/_binary64_8205 associate-*r/_binary64_8204 associate-*l*_binary64_8203 associate-*r*_binary64_8202 associate--r-_binary64_8201 associate--l-_binary64_8200 associate--l+_binary64_8199 associate--r+_binary64_8198 associate-+l-_binary64_8197 associate-+r-_binary64_8196 associate-+l+_binary64_8195 associate-+r+_binary64_8194 *-commutative_binary64_8193 +-commutative_binary64_8192
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 0 to 0 computations (0% saved)

regimes16.0ms (2.6%)

Accuracy

Total 0b remaining (0%)

Threshold costs 0b (0%)

Compiler

Compiled 50 to 39 computations (22% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.4%)

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_8522 if-if-and_binary64_8521 if-if-or-not_binary64_8520 if-if-or_binary64_8519 if-not_binary64_8518 if-same_binary64_8517 if-false_binary64_8516 if-true_binary64_8515 tan-0_binary64_8391 cos-0_binary64_8390 sin-0_binary64_8389 unpow1_binary64_8320 e-exp-1_binary64_8307 1-exp_binary64_8306 exp-1-e_binary64_8305 exp-0_binary64_8304 sqr-abs_binary64_8277 sqr-neg_binary64_8276 neg-mul-1_binary64_8258 neg-sub0_binary64_8257 unsub-neg_binary64_8256 sub-neg_binary64_8255 mul-1-neg_binary64_8254 /-rgt-identity_binary64_8253 *-rgt-identity_binary64_8252 *-lft-identity_binary64_8251 remove-double-neg_binary64_8250 sub0-neg_binary64_8249 --rgt-identity_binary64_8248 +-rgt-identity_binary64_8247 +-lft-identity_binary64_8246 cancel-sign-sub-inv_binary64_8228 cancel-sign-sub_binary64_8227 distribute-neg-frac_binary64_8226 distribute-frac-neg_binary64_8225 distribute-neg-out_binary64_8224 distribute-neg-in_binary64_8223 distribute-rgt-neg-out_binary64_8222 distribute-lft-neg-out_binary64_8221 distribute-rgt-neg-in_binary64_8220 distribute-lft-neg-in_binary64_8219 *-commutative_binary64_8193 +-commutative_binary64_8192
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
011
111

end0.0ms (0%)

sample391.0ms (66.4%)

Algorithm
intervals
Results
162.0ms8000×body128valid
Compiler

Compiled 18 to 18 computations (0% saved)

Profiling

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