Details

Time bar (total: 1.1s)

analyze150.0ms (14.2%)

Algorithm
search
egg-herbie
Rules
24×cancel-sign-sub-inv_binary64_10274
16×distribute-rgt-in_binary64_10258
15×sub-neg_binary64_10301
11×distribute-lft-in_binary64_10257
10×distribute-rgt-neg-in_binary64_10266 associate--r+_binary64_10244
unsub-neg_binary64_10302
distribute-lft-neg-in_binary64_10265
neg-mul-1_binary64_10304
distribute-neg-in_binary64_10269 distribute-lft-neg-out_binary64_10267 associate-*r*_binary64_10248
neg-sub0_binary64_10303 associate-+l-_binary64_10243 *-commutative_binary64_10239 +-commutative_binary64_10238
sub0-neg_binary64_10295 +-lft-identity_binary64_10292 mul0-rgt_binary64_10291 mul0-lft_binary64_10290 associate-+l+_binary64_10241
*-lft-identity_binary64_10297 associate-+r+_binary64_10240
remove-double-neg_binary64_10296 distribute-rgt-neg-out_binary64_10268 distribute-rgt-out--_binary64_10262 associate-*l*_binary64_10249 associate--r-_binary64_10247
1-exp_binary64_10352 mul-1-neg_binary64_10300 *-rgt-identity_binary64_10298 --rgt-identity_binary64_10294 +-rgt-identity_binary64_10293 swap-sqr_binary64_10275 distribute-rgt1-in_binary64_10264 associate--l+_binary64_10245 associate-+r-_binary64_10242
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 /-rgt-identity_binary64_10299 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 cancel-sign-sub_binary64_10273 distribute-neg-frac_binary64_10272 distribute-frac-neg_binary64_10271 distribute-neg-out_binary64_10270 distribute-lft1-in_binary64_10263 distribute-rgt-out_binary64_10261 distribute-lft-out--_binary64_10260 distribute-lft-out_binary64_10259 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_10246
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
1117
2177
3187
4207
5257
6337
7507
8947
91407
101387
111367
121057
011
111
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
50%50%0%3
50%25%25%4
62.5%12.5%25%5
68.7%6.2%25%6
71.8%3.1%25%7
73.4%1.6%25%8
74.2%0.8%25%9
74.6%0.4%25%10
74.8%0.2%25%11
74.9%0.1%25%12
74.9%0%25%13
74.9%0%25%14
Compiler

Compiled 6 to 5 computations (16.7% saved)

sample11.0ms (1%)

Algorithm
intervals
Results
4.0ms256×body128valid
Compiler

Compiled 11 to 10 computations (9.1% saved)

simplify13.0ms (1.2%)

Algorithm
egg-herbie
Rules
24×cancel-sign-sub-inv_binary64_10274
16×distribute-rgt-in_binary64_10258
15×sub-neg_binary64_10301
11×distribute-lft-in_binary64_10257
10×distribute-rgt-neg-in_binary64_10266 associate--r+_binary64_10244
unsub-neg_binary64_10302
distribute-lft-neg-in_binary64_10265
neg-mul-1_binary64_10304
distribute-neg-in_binary64_10269 distribute-lft-neg-out_binary64_10267 associate-*r*_binary64_10248
neg-sub0_binary64_10303 associate-+l-_binary64_10243 *-commutative_binary64_10239 +-commutative_binary64_10238
sub0-neg_binary64_10295 +-lft-identity_binary64_10292 mul0-rgt_binary64_10291 mul0-lft_binary64_10290 associate-+l+_binary64_10241
*-lft-identity_binary64_10297 associate-+r+_binary64_10240
remove-double-neg_binary64_10296 distribute-rgt-neg-out_binary64_10268 distribute-rgt-out--_binary64_10262 associate-*l*_binary64_10249 associate--r-_binary64_10247
1-exp_binary64_10352 mul-1-neg_binary64_10300 *-rgt-identity_binary64_10298 --rgt-identity_binary64_10294 +-rgt-identity_binary64_10293 swap-sqr_binary64_10275 distribute-rgt1-in_binary64_10264 associate--l+_binary64_10245 associate-+r-_binary64_10242
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 /-rgt-identity_binary64_10299 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 cancel-sign-sub_binary64_10273 distribute-neg-frac_binary64_10272 distribute-frac-neg_binary64_10271 distribute-neg-out_binary64_10270 distribute-lft1-in_binary64_10263 distribute-rgt-out_binary64_10261 distribute-lft-out--_binary64_10260 distribute-lft-out_binary64_10259 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_10246
Counts
1 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
1117
2177
3187
4207
5257
6337
7507
8947
91407
101387
111367
121057

prune1.0ms (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 5 to 4 computations (20% saved)

localize3.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.0b
(*.f64 x (-.f64 x 1))

rewrite33.0ms (3.1%)

Algorithm
rewrite-expression-head
Error
0b
Rules
11×add-sqr-sqrt_binary64_10330
*-un-lft-identity_binary64_10308
associate-*r*_binary64_10248
cancel-sign-sub-inv_binary64_10274
add-cube-cbrt_binary64_10343
distribute-rgt-in_binary64_10258 distribute-lft-in_binary64_10257
pow1_binary64_10369 add-exp-log_binary64_10346 add-cbrt-cube_binary64_10344 associate-*l*_binary64_10249
sub-neg_binary64_10301 associate-*r/_binary64_10250 difference-of-squares_binary64_10277
pow-prod-down_binary64_10379 prod-exp_binary64_10357 add-log-exp_binary64_10347 cbrt-unprod_binary64_10341 unswap-sqr_binary64_10276 flip3--_binary64_10312 flip--_binary64_10283 difference-of-sqr-1_binary64_10278 distribute-lft-out--_binary64_10260 *-commutative_binary64_10239
Counts
1 → 32
Calls

1 calls:

8.0ms
(*.f64 x (-.f64 x 1))
Compiler

Compiled 360 to 238 computations (33.9% saved)

series56.0ms (5.3%)

Error
0b
Counts
1 → 6
Calls

1 calls:

52.0ms
(*.f64 x (-.f64 x 1))
Compiler

Compiled 63 to 49 computations (22.2% saved)

simplify77.0ms (7.3%)

Algorithm
egg-herbie
Rules
557×distribute-rgt-in_binary64_10258
488×distribute-lft-in_binary64_10257
368×unswap-sqr_binary64_10276
319×exp-prod_binary64_10360
226×associate-*l*_binary64_10249
194×*-commutative_binary64_10239
170×times-frac_binary64_10314
167×associate-*r*_binary64_10248
159×distribute-neg-in_binary64_10269
153×distribute-rgt-neg-out_binary64_10268
147×distribute-lft-neg-out_binary64_10267
142×unsub-neg_binary64_10302
137×cube-prod_binary64_10336
129×distribute-rgt-out_binary64_10261
108×cancel-sign-sub-inv_binary64_10274
106×log-prod_binary64_10394
105×distribute-rgt-neg-in_binary64_10266
93×distribute-lft-neg-in_binary64_10265
91×associate--r+_binary64_10244
87×sqr-pow_binary64_10280
75×associate-+l+_binary64_10241
69×associate--l+_binary64_10245
68×associate-+r+_binary64_10240
62×exp-sum_binary64_10354
54×sub-neg_binary64_10301 associate-/l*_binary64_10253
52×swap-sqr_binary64_10275
45×neg-sub0_binary64_10303 difference-of-squares_binary64_10277
40×associate-/r*_binary64_10252
38×distribute-rgt-out--_binary64_10262
35×*-lft-identity_binary64_10297
33×*-rgt-identity_binary64_10298
31×exp-diff_binary64_10356
28×neg-mul-1_binary64_10304
25×mul-1-neg_binary64_10300
21×unpow3_binary64_10374
20×sqr-neg_binary64_10322
19×distribute-lft-out_binary64_10259
18×pow-plus_binary64_10371 rem-sqrt-square_binary64_10321 +-commutative_binary64_10238
15×cube-mult_binary64_10338 associate--r-_binary64_10247
14×distribute-neg-out_binary64_10270 associate-+l-_binary64_10243
13×cube-unmult_binary64_10345 mul0-rgt_binary64_10291 mul0-lft_binary64_10290 pow-sqr_binary64_10281 associate-/l/_binary64_10255
11×exp-neg_binary64_10355
10×associate-/r/_binary64_10254 associate-*r/_binary64_10250
associate-+r-_binary64_10242
unpow1/2_binary64_10372 sub0-neg_binary64_10295 distribute-lft1-in_binary64_10263
div-sub_binary64_10313 difference-of-sqr--1_binary64_10279 difference-of-sqr-1_binary64_10278
remove-double-neg_binary64_10296 +-rgt-identity_binary64_10293
log-pow_binary64_10397 cube-neg_binary64_10335 distribute-rgt1-in_binary64_10264 distribute-lft-out--_binary64_10260
count-2_binary64_10256
cancel-sign-sub_binary64_10273 associate-*l/_binary64_10251 associate--l-_binary64_10246
unpow2_binary64_10373 unpow1_binary64_10366 1-exp_binary64_10352 exp-1-e_binary64_10351 rem-3cbrt-lft_binary64_10333 --rgt-identity_binary64_10294 distribute-frac-neg_binary64_10271
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-rec_binary64_10396 log-div_binary64_10395 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 div-exp_binary64_10359 rec-exp_binary64_10358 prod-exp_binary64_10357 e-exp-1_binary64_10353 exp-0_binary64_10350 rem-log-exp_binary64_10349 rem-exp-log_binary64_10348 cube-div_binary64_10337 rem-3cbrt-rft_binary64_10334 rem-cbrt-cube_binary64_10332 rem-cube-cbrt_binary64_10331 sqr-abs_binary64_10323 rem-square-sqrt_binary64_10320 /-rgt-identity_binary64_10299 +-lft-identity_binary64_10292 div0_binary64_10289 *-inverses_binary64_10288 +-inverses_binary64_10287 lft-mult-inverse_binary64_10286 rgt-mult-inverse_binary64_10285 remove-double-div_binary64_10284 distribute-neg-frac_binary64_10272
Counts
38 → 35
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
056341
1119310
2341305
3889299
42280299
54285299
65004299

prune20.0ms (1.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New34135
Fresh000
Picked011
Done000
Total34236
Error
0b
Counts
36 → 2
Compiler

Compiled 290 to 109 computations (62.4% saved)

localize3.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.0b
(-.f64 (*.f64 x x) x)

rewrite17.0ms (1.6%)

Algorithm
rewrite-expression-head
Error
0b
Rules
add-log-exp_binary64_10347 add-sqr-sqrt_binary64_10330 *-un-lft-identity_binary64_10308 cancel-sign-sub-inv_binary64_10274
add-cube-cbrt_binary64_10343
diff-log_binary64_10400 pow1_binary64_10369 add-exp-log_binary64_10346 add-cbrt-cube_binary64_10344 flip3--_binary64_10312 sub-neg_binary64_10301 flip--_binary64_10283 difference-of-squares_binary64_10277 distribute-rgt-out--_binary64_10262
Counts
1 → 16
Calls

1 calls:

4.0ms
(-.f64 (*.f64 x x) x)
Compiler

Compiled 182 to 57 computations (68.7% saved)

series57.0ms (5.4%)

Error
0b
Counts
1 → 6
Calls

1 calls:

54.0ms
(-.f64 (*.f64 x x) x)
Compiler

Compiled 63 to 49 computations (22.2% saved)

simplify93.0ms (8.8%)

Algorithm
egg-herbie
Rules
596×unswap-sqr_binary64_10276
376×distribute-rgt-in_binary64_10258
354×unsub-neg_binary64_10302
326×distribute-lft-in_binary64_10257
284×*-commutative_binary64_10239
238×difference-of-squares_binary64_10277
196×exp-prod_binary64_10360
195×distribute-rgt-out_binary64_10261
152×cube-prod_binary64_10336
147×distribute-lft-out_binary64_10259
140×associate-*l*_binary64_10249
123×unpow3_binary64_10374
117×associate-*r*_binary64_10248
100×sqr-pow_binary64_10280
96×log-prod_binary64_10394 sub-neg_binary64_10301
82×exp-sum_binary64_10354
81×cancel-sign-sub-inv_binary64_10274
68×neg-mul-1_binary64_10304 neg-sub0_binary64_10303
50×mul0-rgt_binary64_10291 mul0-lft_binary64_10290
47×distribute-rgt-out--_binary64_10262
45×associate-+l+_binary64_10241
42×associate-+r+_binary64_10240
41×distribute-rgt-neg-out_binary64_10268
40×times-frac_binary64_10314
39×+-commutative_binary64_10238
38×distribute-lft-neg-out_binary64_10267
34×pow-plus_binary64_10371 exp-diff_binary64_10356 swap-sqr_binary64_10275 distribute-lft-out--_binary64_10260
26×pow-sqr_binary64_10281
24×cube-mult_binary64_10338
23×cube-unmult_binary64_10345
16×distribute-rgt-neg-in_binary64_10266 distribute-lft-neg-in_binary64_10265 associate--r+_binary64_10244
15×associate-+l-_binary64_10243
14×sub0-neg_binary64_10295
12×difference-of-sqr--1_binary64_10279
*-rgt-identity_binary64_10298
log-pow_binary64_10397 *-lft-identity_binary64_10297 distribute-lft1-in_binary64_10263 associate-+r-_binary64_10242
sqr-neg_binary64_10322 +-rgt-identity_binary64_10293 associate-/l*_binary64_10253
div-sub_binary64_10313 mul-1-neg_binary64_10300 distribute-rgt1-in_binary64_10264
associate-*r/_binary64_10250 associate--l+_binary64_10245
associate-/l/_binary64_10255 associate-/r/_binary64_10254
unpow2_binary64_10373 cube-neg_binary64_10335 --rgt-identity_binary64_10294 distribute-neg-in_binary64_10269 associate-/r*_binary64_10252
rem-sqrt-square_binary64_10321
unpow1/2_binary64_10372 unpow1_binary64_10366 div-exp_binary64_10359 exp-neg_binary64_10355 1-exp_binary64_10352 exp-1-e_binary64_10351 rem-3cbrt-lft_binary64_10333 rem-square-sqrt_binary64_10320 remove-double-neg_binary64_10296 +-lft-identity_binary64_10292 difference-of-sqr-1_binary64_10278
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-rec_binary64_10396 log-div_binary64_10395 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 rec-exp_binary64_10358 prod-exp_binary64_10357 e-exp-1_binary64_10353 exp-0_binary64_10350 rem-log-exp_binary64_10349 rem-exp-log_binary64_10348 cube-div_binary64_10337 rem-3cbrt-rft_binary64_10334 rem-cbrt-cube_binary64_10332 rem-cube-cbrt_binary64_10331 sqr-abs_binary64_10323 /-rgt-identity_binary64_10299 div0_binary64_10289 *-inverses_binary64_10288 +-inverses_binary64_10287 lft-mult-inverse_binary64_10286 rgt-mult-inverse_binary64_10285 remove-double-div_binary64_10284 cancel-sign-sub_binary64_10273 distribute-neg-frac_binary64_10272 distribute-frac-neg_binary64_10271 distribute-neg-out_binary64_10270 count-2_binary64_10256 associate-*l/_binary64_10251 associate--r-_binary64_10247 associate--l-_binary64_10246
Counts
22 → 14
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
042211
194187
2219187
3830187
42542187
54549187
64931187
74945187

prune7.0ms (0.6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New14014
Fresh000
Picked011
Done011
Total14216
Error
0b
Counts
16 → 2
Compiler

Compiled 93 to 30 computations (67.7% saved)

regimes54.0ms (5.1%)

Accuracy

Total 0.0b remaining (98.6%)

Threshold costs 0.0b (98.6%)

Compiler

Compiled 251 to 195 computations (22.3% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.3%)

Algorithm
egg-herbie
Rules
sub-neg_binary64_10301 +-commutative_binary64_10238
neg-mul-1_binary64_10304 neg-sub0_binary64_10303 *-commutative_binary64_10239
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 1-exp_binary64_10352 exp-1-e_binary64_10351 exp-0_binary64_10350 sqr-abs_binary64_10323 sqr-neg_binary64_10322 unsub-neg_binary64_10302 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
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047
167
2117
3137
4147
5147

end0.0ms (0%)

sample456.0ms (43.3%)

Algorithm
intervals
Results
128.0ms8000×body128valid
0.0msbody128invalid
Compiler

Compiled 108 to 83 computations (23.1% saved)

Profiling

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