Details

Time bar (total: 1.5s)

analyze184.0ms (12.4%)

Algorithm
search
egg-herbie
Rules
+-commutative_binary64_10238
1-exp_binary64_10352
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_10571 erf-erfc_binary64_10570 erf-odd_binary64_10569 if-if-and-not_binary64_10568 if-if-and_binary64_10567 if-if-or-not_binary64_10566 if-if-or_binary64_10565 if-not_binary64_10564 if-same_binary64_10563 if-false_binary64_10562 if-true_binary64_10561 not-gte_binary64_10560 not-lte_binary64_10559 not-gt_binary64_10558 not-lt_binary64_10557 gte-same_binary64_10556 lte-same_binary64_10555 gt-same_binary64_10554 lt-same_binary64_10553 sinh---cosh_binary64_10500 sinh-+-cosh_binary64_10499 sinh-cosh_binary64_10498 tanh-def-c_binary64_10497 tanh-def-b_binary64_10496 tanh-def-a_binary64_10495 cosh-def_binary64_10494 sinh-def_binary64_10493 tan-neg_binary64_10440 cos-neg_binary64_10439 sin-neg_binary64_10438 tan-0_binary64_10437 cos-0_binary64_10436 sin-0_binary64_10435 hang-m-tan_binary64_10434 hang-p-tan_binary64_10433 hang-m0-tan_binary64_10432 hang-p0-tan_binary64_10431 hang-0m-tan_binary64_10430 hang-0p-tan_binary64_10429 tan-+PI/2_binary64_10428 tan-+PI_binary64_10427 tan-PI_binary64_10426 tan-PI/3_binary64_10425 tan-PI/4_binary64_10424 tan-PI/6_binary64_10423 cos-+PI/2_binary64_10422 cos-+PI_binary64_10421 cos-PI_binary64_10420 cos-PI/2_binary64_10419 cos-PI/3_binary64_10418 cos-PI/4_binary64_10417 cos-PI/6_binary64_10416 sin-+PI/2_binary64_10415 sin-+PI_binary64_10414 sin-PI_binary64_10413 sin-PI/2_binary64_10412 sin-PI/3_binary64_10411 sin-PI/4_binary64_10410 sin-PI/6_binary64_10409 sub-1-sin_binary64_10408 sub-1-cos_binary64_10407 -1-add-sin_binary64_10406 -1-add-cos_binary64_10405 1-sub-sin_binary64_10404 1-sub-cos_binary64_10403 cos-sin-sum_binary64_10402 log-E_binary64_10398 log-pow_binary64_10397 log-rec_binary64_10396 log-div_binary64_10395 log-prod_binary64_10394 pow-base-0_binary64_10392 unpow1/3_binary64_10375 unpow3_binary64_10374 unpow2_binary64_10373 unpow1/2_binary64_10372 pow-plus_binary64_10371 exp-to-pow_binary64_10370 pow-base-1_binary64_10368 unpow0_binary64_10367 unpow1_binary64_10366 unpow-1_binary64_10365 exp-lft-cube_binary64_10364 exp-lft-sqr_binary64_10363 exp-cbrt_binary64_10362 exp-sqrt_binary64_10361 exp-prod_binary64_10360 div-exp_binary64_10359 rec-exp_binary64_10358 prod-exp_binary64_10357 exp-diff_binary64_10356 exp-neg_binary64_10355 exp-sum_binary64_10354 e-exp-1_binary64_10353 exp-1-e_binary64_10351 exp-0_binary64_10350 rem-log-exp_binary64_10349 rem-exp-log_binary64_10348 cube-unmult_binary64_10345 cube-mult_binary64_10338 cube-div_binary64_10337 cube-prod_binary64_10336 cube-neg_binary64_10335 rem-3cbrt-rft_binary64_10334 rem-3cbrt-lft_binary64_10333 rem-cbrt-cube_binary64_10332 rem-cube-cbrt_binary64_10331 sqr-abs_binary64_10323 sqr-neg_binary64_10322 rem-sqrt-square_binary64_10321 rem-square-sqrt_binary64_10320 times-frac_binary64_10314 div-sub_binary64_10313 neg-mul-1_binary64_10304 neg-sub0_binary64_10303 unsub-neg_binary64_10302 sub-neg_binary64_10301 mul-1-neg_binary64_10300 /-rgt-identity_binary64_10299 *-rgt-identity_binary64_10298 *-lft-identity_binary64_10297 remove-double-neg_binary64_10296 sub0-neg_binary64_10295 --rgt-identity_binary64_10294 +-rgt-identity_binary64_10293 +-lft-identity_binary64_10292 mul0-rgt_binary64_10291 mul0-lft_binary64_10290 div0_binary64_10289 *-inverses_binary64_10288 +-inverses_binary64_10287 lft-mult-inverse_binary64_10286 rgt-mult-inverse_binary64_10285 remove-double-div_binary64_10284 pow-sqr_binary64_10281 sqr-pow_binary64_10280 difference-of-sqr--1_binary64_10279 difference-of-sqr-1_binary64_10278 difference-of-squares_binary64_10277 unswap-sqr_binary64_10276 swap-sqr_binary64_10275 cancel-sign-sub-inv_binary64_10274 cancel-sign-sub_binary64_10273 distribute-neg-frac_binary64_10272 distribute-frac-neg_binary64_10271 distribute-neg-out_binary64_10270 distribute-neg-in_binary64_10269 distribute-rgt-neg-out_binary64_10268 distribute-lft-neg-out_binary64_10267 distribute-rgt-neg-in_binary64_10266 distribute-lft-neg-in_binary64_10265 distribute-rgt1-in_binary64_10264 distribute-lft1-in_binary64_10263 distribute-rgt-out--_binary64_10262 distribute-rgt-out_binary64_10261 distribute-lft-out--_binary64_10260 distribute-lft-out_binary64_10259 distribute-rgt-in_binary64_10258 distribute-lft-in_binary64_10257 count-2_binary64_10256 associate-/l/_binary64_10255 associate-/r/_binary64_10254 associate-/l*_binary64_10253 associate-/r*_binary64_10252 associate-*l/_binary64_10251 associate-*r/_binary64_10250 associate-*l*_binary64_10249 associate-*r*_binary64_10248 associate--r-_binary64_10247 associate--l-_binary64_10246 associate--l+_binary64_10245 associate--r+_binary64_10244 associate-+l-_binary64_10243 associate-+r-_binary64_10242 associate-+l+_binary64_10241 associate-+r+_binary64_10240 *-commutative_binary64_10239
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01020
11420
21320
022
122
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
25%74.9%0.1%3
25%74.9%0.1%4
43.7%56.2%0.1%5
46.8%53.1%0.1%6
78%21.9%0.1%7
82.7%17.2%0.1%8
89%10.9%0.1%9
91.3%8.6%0.1%10
94.4%5.5%0.1%11
95.6%4.3%0.1%12
97.2%2.7%0.1%13
97.8%2.1%0.1%14
Compiler

Compiled 8 to 7 computations (12.5% saved)

sample14.0ms (0.9%)

Algorithm
intervals
Results
5.0ms256×body128valid
Compiler

Compiled 15 to 15 computations (0% saved)

simplify12.0ms (0.8%)

Algorithm
egg-herbie
Rules
+-commutative_binary64_10238
1-exp_binary64_10352
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_10571 erf-erfc_binary64_10570 erf-odd_binary64_10569 if-if-and-not_binary64_10568 if-if-and_binary64_10567 if-if-or-not_binary64_10566 if-if-or_binary64_10565 if-not_binary64_10564 if-same_binary64_10563 if-false_binary64_10562 if-true_binary64_10561 not-gte_binary64_10560 not-lte_binary64_10559 not-gt_binary64_10558 not-lt_binary64_10557 gte-same_binary64_10556 lte-same_binary64_10555 gt-same_binary64_10554 lt-same_binary64_10553 sinh---cosh_binary64_10500 sinh-+-cosh_binary64_10499 sinh-cosh_binary64_10498 tanh-def-c_binary64_10497 tanh-def-b_binary64_10496 tanh-def-a_binary64_10495 cosh-def_binary64_10494 sinh-def_binary64_10493 tan-neg_binary64_10440 cos-neg_binary64_10439 sin-neg_binary64_10438 tan-0_binary64_10437 cos-0_binary64_10436 sin-0_binary64_10435 hang-m-tan_binary64_10434 hang-p-tan_binary64_10433 hang-m0-tan_binary64_10432 hang-p0-tan_binary64_10431 hang-0m-tan_binary64_10430 hang-0p-tan_binary64_10429 tan-+PI/2_binary64_10428 tan-+PI_binary64_10427 tan-PI_binary64_10426 tan-PI/3_binary64_10425 tan-PI/4_binary64_10424 tan-PI/6_binary64_10423 cos-+PI/2_binary64_10422 cos-+PI_binary64_10421 cos-PI_binary64_10420 cos-PI/2_binary64_10419 cos-PI/3_binary64_10418 cos-PI/4_binary64_10417 cos-PI/6_binary64_10416 sin-+PI/2_binary64_10415 sin-+PI_binary64_10414 sin-PI_binary64_10413 sin-PI/2_binary64_10412 sin-PI/3_binary64_10411 sin-PI/4_binary64_10410 sin-PI/6_binary64_10409 sub-1-sin_binary64_10408 sub-1-cos_binary64_10407 -1-add-sin_binary64_10406 -1-add-cos_binary64_10405 1-sub-sin_binary64_10404 1-sub-cos_binary64_10403 cos-sin-sum_binary64_10402 log-E_binary64_10398 log-pow_binary64_10397 log-rec_binary64_10396 log-div_binary64_10395 log-prod_binary64_10394 pow-base-0_binary64_10392 unpow1/3_binary64_10375 unpow3_binary64_10374 unpow2_binary64_10373 unpow1/2_binary64_10372 pow-plus_binary64_10371 exp-to-pow_binary64_10370 pow-base-1_binary64_10368 unpow0_binary64_10367 unpow1_binary64_10366 unpow-1_binary64_10365 exp-lft-cube_binary64_10364 exp-lft-sqr_binary64_10363 exp-cbrt_binary64_10362 exp-sqrt_binary64_10361 exp-prod_binary64_10360 div-exp_binary64_10359 rec-exp_binary64_10358 prod-exp_binary64_10357 exp-diff_binary64_10356 exp-neg_binary64_10355 exp-sum_binary64_10354 e-exp-1_binary64_10353 exp-1-e_binary64_10351 exp-0_binary64_10350 rem-log-exp_binary64_10349 rem-exp-log_binary64_10348 cube-unmult_binary64_10345 cube-mult_binary64_10338 cube-div_binary64_10337 cube-prod_binary64_10336 cube-neg_binary64_10335 rem-3cbrt-rft_binary64_10334 rem-3cbrt-lft_binary64_10333 rem-cbrt-cube_binary64_10332 rem-cube-cbrt_binary64_10331 sqr-abs_binary64_10323 sqr-neg_binary64_10322 rem-sqrt-square_binary64_10321 rem-square-sqrt_binary64_10320 times-frac_binary64_10314 div-sub_binary64_10313 neg-mul-1_binary64_10304 neg-sub0_binary64_10303 unsub-neg_binary64_10302 sub-neg_binary64_10301 mul-1-neg_binary64_10300 /-rgt-identity_binary64_10299 *-rgt-identity_binary64_10298 *-lft-identity_binary64_10297 remove-double-neg_binary64_10296 sub0-neg_binary64_10295 --rgt-identity_binary64_10294 +-rgt-identity_binary64_10293 +-lft-identity_binary64_10292 mul0-rgt_binary64_10291 mul0-lft_binary64_10290 div0_binary64_10289 *-inverses_binary64_10288 +-inverses_binary64_10287 lft-mult-inverse_binary64_10286 rgt-mult-inverse_binary64_10285 remove-double-div_binary64_10284 pow-sqr_binary64_10281 sqr-pow_binary64_10280 difference-of-sqr--1_binary64_10279 difference-of-sqr-1_binary64_10278 difference-of-squares_binary64_10277 unswap-sqr_binary64_10276 swap-sqr_binary64_10275 cancel-sign-sub-inv_binary64_10274 cancel-sign-sub_binary64_10273 distribute-neg-frac_binary64_10272 distribute-frac-neg_binary64_10271 distribute-neg-out_binary64_10270 distribute-neg-in_binary64_10269 distribute-rgt-neg-out_binary64_10268 distribute-lft-neg-out_binary64_10267 distribute-rgt-neg-in_binary64_10266 distribute-lft-neg-in_binary64_10265 distribute-rgt1-in_binary64_10264 distribute-lft1-in_binary64_10263 distribute-rgt-out--_binary64_10262 distribute-rgt-out_binary64_10261 distribute-lft-out--_binary64_10260 distribute-lft-out_binary64_10259 distribute-rgt-in_binary64_10258 distribute-lft-in_binary64_10257 count-2_binary64_10256 associate-/l/_binary64_10255 associate-/r/_binary64_10254 associate-/l*_binary64_10253 associate-/r*_binary64_10252 associate-*l/_binary64_10251 associate-*r/_binary64_10250 associate-*l*_binary64_10249 associate-*r*_binary64_10248 associate--r-_binary64_10247 associate--l-_binary64_10246 associate--l+_binary64_10245 associate--r+_binary64_10244 associate-+l-_binary64_10243 associate-+r-_binary64_10242 associate-+l+_binary64_10241 associate-+r+_binary64_10240 *-commutative_binary64_10239
Counts
1 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
11110
21010

prune2.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done000
Total011
Error
0.0b
Counts
1 → 1
Compiler

Compiled 7 to 6 computations (14.3% saved)

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.0b
(/.f64 (+.f64 x y) (+.f64 y 1))

rewrite44.0ms (2.9%)

Algorithm
rewrite-expression-head
Error
0b
Rules
31×*-un-lft-identity_binary64_10308
16×times-frac_binary64_10314
11×add-cube-cbrt_binary64_10343 add-sqr-sqrt_binary64_10330
10×distribute-lft-out_binary64_10259
associate-/l*_binary64_10253 associate-/r*_binary64_10252
add-exp-log_binary64_10346 add-cbrt-cube_binary64_10344
flip3-+_binary64_10311 associate-/l/_binary64_10255 flip-+_binary64_10282 associate-/r/_binary64_10254
pow1_binary64_10369 div-exp_binary64_10359 add-log-exp_binary64_10347 cbrt-undiv_binary64_10342 frac-2neg_binary64_10319 clear-num_binary64_10307 div-inv_binary64_10305
Counts
1 → 40
Calls

1 calls:

8.0ms
(/.f64 (+.f64 x y) (+.f64 y 1))
Compiler

Compiled 618 to 329 computations (46.8% saved)

series132.0ms (8.8%)

Error
0b
Counts
1 → 16
Calls

1 calls:

117.0ms
(/.f64 (+.f64 x y) (+.f64 y 1))
Compiler

Compiled 423 to 314 computations (25.8% saved)

simplify85.0ms (5.7%)

Algorithm
egg-herbie
Rules
495×cancel-sign-sub-inv_binary64_10274
428×associate-*l*_binary64_10249
379×distribute-rgt-in_binary64_10258
319×sub-neg_binary64_10301
302×distribute-lft-in_binary64_10257
291×unsub-neg_binary64_10302
173×associate-/l*_binary64_10253
168×div-sub_binary64_10313
156×distribute-rgt-out_binary64_10261
155×times-frac_binary64_10314
131×associate-+l+_binary64_10241
129×associate--l+_binary64_10245
120×associate-/l/_binary64_10255
105×associate-/r*_binary64_10252
95×neg-mul-1_binary64_10304
94×+-commutative_binary64_10238
93×neg-sub0_binary64_10303
88×associate-+r+_binary64_10240
87×associate-*l/_binary64_10251
83×distribute-rgt-out--_binary64_10262
68×associate-*r*_binary64_10248 associate--r+_binary64_10244
61×associate-*r/_binary64_10250
56×distribute-rgt-neg-in_binary64_10266
53×distribute-lft-out_binary64_10259
52×*-commutative_binary64_10239
50×distribute-lft-neg-in_binary64_10265
48×distribute-lft-out--_binary64_10260
45×associate-/r/_binary64_10254
33×associate-+l-_binary64_10243
31×associate-+r-_binary64_10242
24×unswap-sqr_binary64_10276 distribute-neg-in_binary64_10269
22×*-rgt-identity_binary64_10298
20×*-lft-identity_binary64_10297 +-rgt-identity_binary64_10293
15×sqr-pow_binary64_10280 distribute-rgt1-in_binary64_10264
14×sub0-neg_binary64_10295
13×cube-prod_binary64_10336 distribute-lft-neg-out_binary64_10267
11×distribute-neg-frac_binary64_10272 distribute-rgt-neg-out_binary64_10268
/-rgt-identity_binary64_10299 distribute-lft1-in_binary64_10263
cube-unmult_binary64_10345
cube-div_binary64_10337
pow-plus_binary64_10371
associate--l-_binary64_10246
unpow3_binary64_10374 difference-of-squares_binary64_10277
log-div_binary64_10395 log-prod_binary64_10394 sqr-neg_binary64_10322 difference-of-sqr-1_binary64_10278
unpow2_binary64_10373 unpow1/2_binary64_10372 unpow1_binary64_10366 1-exp_binary64_10352 cube-mult_binary64_10338 rem-sqrt-square_binary64_10321 pow-sqr_binary64_10281 difference-of-sqr--1_binary64_10279 cancel-sign-sub_binary64_10273 distribute-neg-out_binary64_10270 count-2_binary64_10256
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_10571 erf-erfc_binary64_10570 erf-odd_binary64_10569 if-if-and-not_binary64_10568 if-if-and_binary64_10567 if-if-or-not_binary64_10566 if-if-or_binary64_10565 if-not_binary64_10564 if-same_binary64_10563 if-false_binary64_10562 if-true_binary64_10561 not-gte_binary64_10560 not-lte_binary64_10559 not-gt_binary64_10558 not-lt_binary64_10557 gte-same_binary64_10556 lte-same_binary64_10555 gt-same_binary64_10554 lt-same_binary64_10553 sinh---cosh_binary64_10500 sinh-+-cosh_binary64_10499 sinh-cosh_binary64_10498 tanh-def-c_binary64_10497 tanh-def-b_binary64_10496 tanh-def-a_binary64_10495 cosh-def_binary64_10494 sinh-def_binary64_10493 tan-neg_binary64_10440 cos-neg_binary64_10439 sin-neg_binary64_10438 tan-0_binary64_10437 cos-0_binary64_10436 sin-0_binary64_10435 hang-m-tan_binary64_10434 hang-p-tan_binary64_10433 hang-m0-tan_binary64_10432 hang-p0-tan_binary64_10431 hang-0m-tan_binary64_10430 hang-0p-tan_binary64_10429 tan-+PI/2_binary64_10428 tan-+PI_binary64_10427 tan-PI_binary64_10426 tan-PI/3_binary64_10425 tan-PI/4_binary64_10424 tan-PI/6_binary64_10423 cos-+PI/2_binary64_10422 cos-+PI_binary64_10421 cos-PI_binary64_10420 cos-PI/2_binary64_10419 cos-PI/3_binary64_10418 cos-PI/4_binary64_10417 cos-PI/6_binary64_10416 sin-+PI/2_binary64_10415 sin-+PI_binary64_10414 sin-PI_binary64_10413 sin-PI/2_binary64_10412 sin-PI/3_binary64_10411 sin-PI/4_binary64_10410 sin-PI/6_binary64_10409 sub-1-sin_binary64_10408 sub-1-cos_binary64_10407 -1-add-sin_binary64_10406 -1-add-cos_binary64_10405 1-sub-sin_binary64_10404 1-sub-cos_binary64_10403 cos-sin-sum_binary64_10402 log-E_binary64_10398 log-pow_binary64_10397 log-rec_binary64_10396 pow-base-0_binary64_10392 unpow1/3_binary64_10375 exp-to-pow_binary64_10370 pow-base-1_binary64_10368 unpow0_binary64_10367 unpow-1_binary64_10365 exp-lft-cube_binary64_10364 exp-lft-sqr_binary64_10363 exp-cbrt_binary64_10362 exp-sqrt_binary64_10361 exp-prod_binary64_10360 div-exp_binary64_10359 rec-exp_binary64_10358 prod-exp_binary64_10357 exp-diff_binary64_10356 exp-neg_binary64_10355 exp-sum_binary64_10354 e-exp-1_binary64_10353 exp-1-e_binary64_10351 exp-0_binary64_10350 rem-log-exp_binary64_10349 rem-exp-log_binary64_10348 cube-neg_binary64_10335 rem-3cbrt-rft_binary64_10334 rem-3cbrt-lft_binary64_10333 rem-cbrt-cube_binary64_10332 rem-cube-cbrt_binary64_10331 sqr-abs_binary64_10323 rem-square-sqrt_binary64_10320 mul-1-neg_binary64_10300 remove-double-neg_binary64_10296 --rgt-identity_binary64_10294 +-lft-identity_binary64_10292 mul0-rgt_binary64_10291 mul0-lft_binary64_10290 div0_binary64_10289 *-inverses_binary64_10288 +-inverses_binary64_10287 lft-mult-inverse_binary64_10286 rgt-mult-inverse_binary64_10285 remove-double-div_binary64_10284 swap-sqr_binary64_10275 distribute-frac-neg_binary64_10271 associate--r-_binary64_10247
Counts
56 → 43
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
093945
1238892
2641886
31846880
44234880
54984880

prune35.0ms (2.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New42143
Fresh000
Picked011
Done000
Total42244
Error
0b
Counts
44 → 2
Compiler

Compiled 626 to 319 computations (49% saved)

localize6.0ms (0.4%)

Local error

Found 1 expressions with local error:

0.0b
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))

rewrite52.0ms (3.5%)

Algorithm
rewrite-expression-head
Error
0b
Rules
17×*-un-lft-identity_binary64_10308
15×add-sqr-sqrt_binary64_10330
13×cancel-sign-sub-inv_binary64_10274
11×times-frac_binary64_10314
add-cube-cbrt_binary64_10343
add-log-exp_binary64_10347
distribute-lft-out--_binary64_10260
difference-of-squares_binary64_10277 div-inv_binary64_10305
diff-log_binary64_10400 frac-sub_binary64_10317 distribute-lft-out_binary64_10259
sum-log_binary64_10399 pow1_binary64_10369 add-exp-log_binary64_10346 add-cbrt-cube_binary64_10344 flip3-+_binary64_10311 flip-+_binary64_10282 flip3--_binary64_10312 sub-neg_binary64_10301 flip--_binary64_10283 associate--l+_binary64_10245
Counts
1 → 35
Calls

1 calls:

16.0ms
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
Compiler

Compiled 667 to 416 computations (37.6% saved)

series131.0ms (8.8%)

Error
0b
Counts
1 → 12
Calls

1 calls:

124.0ms
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
Compiler

Compiled 198 to 161 computations (18.7% saved)

simplify126.0ms (8.5%)

Algorithm
egg-herbie
Rules
622×associate-/l*_binary64_10253
438×div-sub_binary64_10313
391×associate-/l/_binary64_10255
244×associate-/r/_binary64_10254
230×distribute-rgt-in_binary64_10258
229×exp-prod_binary64_10360
228×cube-div_binary64_10337
214×distribute-lft-in_binary64_10257
167×associate-*l*_binary64_10249
157×associate-*r*_binary64_10248
155×associate-*l/_binary64_10251
143×cancel-sign-sub-inv_binary64_10274
141×cube-prod_binary64_10336
132×distribute-lft-neg-out_binary64_10267
130×unpow3_binary64_10374
129×associate-*r/_binary64_10250
126×distribute-rgt-neg-out_binary64_10268
117×sub-neg_binary64_10301
111×unsub-neg_binary64_10302
103×exp-diff_binary64_10356
91×distribute-rgt-out_binary64_10261
79×*-commutative_binary64_10239
70×distribute-neg-frac_binary64_10272
67×distribute-rgt-neg-in_binary64_10266
64×associate-+l+_binary64_10241
54×exp-sum_binary64_10354
52×neg-sub0_binary64_10303
50×+-commutative_binary64_10238
46×neg-mul-1_binary64_10304
44×sqr-pow_binary64_10280 swap-sqr_binary64_10275 distribute-lft-neg-in_binary64_10265 associate-+r+_binary64_10240
40×cube-mult_binary64_10338 times-frac_binary64_10314
39×*-rgt-identity_binary64_10298 distribute-lft-out_binary64_10259
33×associate-/r*_binary64_10252
29×associate--l+_binary64_10245
27×*-lft-identity_binary64_10297 distribute-frac-neg_binary64_10271
25×distribute-neg-in_binary64_10269 distribute-rgt-out--_binary64_10262
18×cube-unmult_binary64_10345
17×unswap-sqr_binary64_10276
16×associate--r+_binary64_10244 associate-+l-_binary64_10243
15×sqr-neg_binary64_10322
13×mul0-rgt_binary64_10291 mul0-lft_binary64_10290
12×associate-+r-_binary64_10242
11×pow-plus_binary64_10371 sub0-neg_binary64_10295 difference-of-squares_binary64_10277
10×+-rgt-identity_binary64_10293 distribute-rgt1-in_binary64_10264
rem-sqrt-square_binary64_10321 /-rgt-identity_binary64_10299 div0_binary64_10289 associate--r-_binary64_10247
distribute-lft1-in_binary64_10263
div-exp_binary64_10359
exp-neg_binary64_10355 cube-neg_binary64_10335 mul-1-neg_binary64_10300 distribute-neg-out_binary64_10270 distribute-lft-out--_binary64_10260
unpow1/2_binary64_10372 pow-sqr_binary64_10281
log-prod_binary64_10394 rem-3cbrt-lft_binary64_10333 rem-cbrt-cube_binary64_10332 rem-square-sqrt_binary64_10320 remove-double-neg_binary64_10296 difference-of-sqr-1_binary64_10278
prod-exp_binary64_10357 1-exp_binary64_10352 exp-1-e_binary64_10351 rem-3cbrt-rft_binary64_10334 --rgt-identity_binary64_10294 remove-double-div_binary64_10284
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_10571 erf-erfc_binary64_10570 erf-odd_binary64_10569 if-if-and-not_binary64_10568 if-if-and_binary64_10567 if-if-or-not_binary64_10566 if-if-or_binary64_10565 if-not_binary64_10564 if-same_binary64_10563 if-false_binary64_10562 if-true_binary64_10561 not-gte_binary64_10560 not-lte_binary64_10559 not-gt_binary64_10558 not-lt_binary64_10557 gte-same_binary64_10556 lte-same_binary64_10555 gt-same_binary64_10554 lt-same_binary64_10553 sinh---cosh_binary64_10500 sinh-+-cosh_binary64_10499 sinh-cosh_binary64_10498 tanh-def-c_binary64_10497 tanh-def-b_binary64_10496 tanh-def-a_binary64_10495 cosh-def_binary64_10494 sinh-def_binary64_10493 tan-neg_binary64_10440 cos-neg_binary64_10439 sin-neg_binary64_10438 tan-0_binary64_10437 cos-0_binary64_10436 sin-0_binary64_10435 hang-m-tan_binary64_10434 hang-p-tan_binary64_10433 hang-m0-tan_binary64_10432 hang-p0-tan_binary64_10431 hang-0m-tan_binary64_10430 hang-0p-tan_binary64_10429 tan-+PI/2_binary64_10428 tan-+PI_binary64_10427 tan-PI_binary64_10426 tan-PI/3_binary64_10425 tan-PI/4_binary64_10424 tan-PI/6_binary64_10423 cos-+PI/2_binary64_10422 cos-+PI_binary64_10421 cos-PI_binary64_10420 cos-PI/2_binary64_10419 cos-PI/3_binary64_10418 cos-PI/4_binary64_10417 cos-PI/6_binary64_10416 sin-+PI/2_binary64_10415 sin-+PI_binary64_10414 sin-PI_binary64_10413 sin-PI/2_binary64_10412 sin-PI/3_binary64_10411 sin-PI/4_binary64_10410 sin-PI/6_binary64_10409 sub-1-sin_binary64_10408 sub-1-cos_binary64_10407 -1-add-sin_binary64_10406 -1-add-cos_binary64_10405 1-sub-sin_binary64_10404 1-sub-cos_binary64_10403 cos-sin-sum_binary64_10402 log-E_binary64_10398 log-pow_binary64_10397 log-rec_binary64_10396 log-div_binary64_10395 pow-base-0_binary64_10392 unpow1/3_binary64_10375 unpow2_binary64_10373 exp-to-pow_binary64_10370 pow-base-1_binary64_10368 unpow0_binary64_10367 unpow1_binary64_10366 unpow-1_binary64_10365 exp-lft-cube_binary64_10364 exp-lft-sqr_binary64_10363 exp-cbrt_binary64_10362 exp-sqrt_binary64_10361 rec-exp_binary64_10358 e-exp-1_binary64_10353 exp-0_binary64_10350 rem-log-exp_binary64_10349 rem-exp-log_binary64_10348 rem-cube-cbrt_binary64_10331 sqr-abs_binary64_10323 +-lft-identity_binary64_10292 *-inverses_binary64_10288 +-inverses_binary64_10287 lft-mult-inverse_binary64_10286 rgt-mult-inverse_binary64_10285 difference-of-sqr--1_binary64_10279 cancel-sign-sub_binary64_10273 count-2_binary64_10256 associate--l-_binary64_10246
Counts
47 → 37
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
099612
1263591
2736585
32330585
44516585
54489585
64950585
74985585

prune29.0ms (2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New37037
Fresh000
Picked011
Done011
Total37239
Error
0b
Counts
39 → 2
Compiler

Compiled 445 to 286 computations (35.7% saved)

regimes75.0ms (5.1%)

Accuracy

Total 0.0b remaining (33.3%)

Threshold costs 0.0b (33.3%)

Compiler

Compiled 301 to 287 computations (4.7% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.2%)

Algorithm
egg-herbie
Rules
+-commutative_binary64_10238
1-exp_binary64_10352
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_10568 if-if-and_binary64_10567 if-if-or-not_binary64_10566 if-if-or_binary64_10565 if-not_binary64_10564 if-same_binary64_10563 if-false_binary64_10562 if-true_binary64_10561 tan-0_binary64_10437 cos-0_binary64_10436 sin-0_binary64_10435 unpow1_binary64_10366 e-exp-1_binary64_10353 exp-1-e_binary64_10351 exp-0_binary64_10350 sqr-abs_binary64_10323 sqr-neg_binary64_10322 neg-mul-1_binary64_10304 neg-sub0_binary64_10303 unsub-neg_binary64_10302 sub-neg_binary64_10301 mul-1-neg_binary64_10300 /-rgt-identity_binary64_10299 *-rgt-identity_binary64_10298 *-lft-identity_binary64_10297 remove-double-neg_binary64_10296 sub0-neg_binary64_10295 --rgt-identity_binary64_10294 +-rgt-identity_binary64_10293 +-lft-identity_binary64_10292 cancel-sign-sub-inv_binary64_10274 cancel-sign-sub_binary64_10273 distribute-neg-frac_binary64_10272 distribute-frac-neg_binary64_10271 distribute-neg-out_binary64_10270 distribute-neg-in_binary64_10269 distribute-rgt-neg-out_binary64_10268 distribute-lft-neg-out_binary64_10267 distribute-rgt-neg-in_binary64_10266 distribute-lft-neg-in_binary64_10265 *-commutative_binary64_10239
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0816
11216
21116

end0.0ms (0%)

sample554.0ms (37.3%)

Algorithm
intervals
Results
186.0ms8000×body128valid
Compiler

Compiled 100 to 95 computations (5% saved)

Profiling

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