Details

analyze44.0ms (3.4%)

Algorithm

1×

Search

True	Other	False	Iter
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
37.5%	62.4%	0.1%	5
43.7%	56.2%	0.1%	6
65.6%	34.3%	0.1%	7
70.2%	29.7%	0.1%	8
82%	18%	0.1%	9
87.4%	12.5%	0.1%	10
93.5%	6.4%	0.1%	11
93.7%	6.2%	0.1%	12
96.8%	3.1%	0.1%	13
96.8%	3.1%	0.1%	14

Compiler

Compiled 6 to 5 computations (16.7% saved)

sample22.0ms (1.7%)

Algorithm

1×

intervals

Results

5.0ms	8×	body	256	valid
3.0ms	41×	body	2048	valid
2.0ms	142×	body	128	valid
2.0ms	42×	body	1024	valid
1.0ms	23×	body	512	valid

Compiler

Compiled 11 to 11 computations (0% saved)

simplify653.0ms (50%)

Algorithm

1×	egg-herbie

Rules

770×	`unsub-neg_binary64_25306`
744×	`sub-neg_binary64_25305`
473×	`cancel-sign-sub-inv_binary64_25278`
428×	`cube-prod_binary64_25340`
395×	`distribute-lft-out_binary64_25263`
350×	`distribute-lft-out--_binary64_25264`
303×	`exp-sum_binary64_25358`
300×	`div-sub_binary64_25317`
265×	`neg-mul-1_binary64_25308`
245×	`neg-sub0_binary64_25307`
236×	`cube-div_binary64_25341`
174×	`exp-diff_binary64_25360`
165×	`distribute-rgt-in_binary64_25262`
164×	`distribute-rgt-out_binary64_25265` `associate--r-_binary64_25251`
159×	`distribute-rgt-out--_binary64_25266`
154×	`distribute-neg-in_binary64_25273`
129×	`associate--l-_binary64_25250`
125×	`associate-l_binary64_25253`
118×	`distribute-neg-frac_binary64_25276`
107×	`swap-sqr_binary64_25279`
102×	`associate--r+_binary64_25248`
101×	`prod-exp_binary64_25361`
95×	`associate-r_binary64_25252`
90×	`distribute-lft-in_binary64_25261`
85×	`+-commutative_binary64_25242`
75×	`distribute-neg-out_binary64_25274`
74×	`distribute-lft-neg-out_binary64_25271`
73×	`associate-*r/_binary64_25254`
72×	`associate-+r-_binary64_25246`
67×	`sqr-neg_binary64_25326`
66×	`associate-+l-_binary64_25247`
63×	`pow-plus_binary64_25375` `distribute-rgt-neg-out_binary64_25272`
51×	`cube-neg_binary64_25339`
50×	`unpow3_binary64_25378`
46×	`cube-mult_binary64_25342`
44×	`distribute-frac-neg_binary64_25275` `distribute-rgt1-in_binary64_25268`
43×	`associate--l+_binary64_25249`
42×	`sqr-pow_binary64_25284`
36×	`div-exp_binary64_25363`
33×	`exp-prod_binary64_25364`
30×	`pow-sqr_binary64_25285`
29×	`distribute-lft-neg-in_binary64_25269`
28×	`distribute-rgt-neg-in_binary64_25270` `associate-/r*_binary64_25256`
27×	`associate-/l*_binary64_25257`
26×	`*-commutative_binary64_25243`
25×	`associate-+l+_binary64_25245`
18×	`exp-neg_binary64_25359`
17×	`*-rgt-identity_binary64_25302`
16×	`remove-double-neg_binary64_25300`
15×	`*-lft-identity_binary64_25301` `difference-of-squares_binary64_25281`
14×	`pow-base-1_binary64_25372`
13×	`associate-/r/_binary64_25258`
11×	`sub0-neg_binary64_25299` `associate-+r+_binary64_25244`
10×	`unswap-sqr_binary64_25280`
9×	`mul0-lft_binary64_25294` `distribute-lft1-in_binary64_25267` `count-2_binary64_25260`
8×	`exp-lft-sqr_binary64_25367`
7×	`+-rgt-identity_binary64_25297`
5×	`cube-unmult_binary64_25349`
4×	`+-lft-identity_binary64_25296` `associate-/l/_binary64_25259`
3×	`+-inverses_binary64_25291` `difference-of-sqr--1_binary64_25283`
2×	`rec-exp_binary64_25362` `times-frac_binary64_25318` `--rgt-identity_binary64_25298` `associate-*l/_binary64_25255`
1×	`pow-base-0_binary64_25396` `exp-sqrt_binary64_25365` `1-exp_binary64_25356` `exp-1-e_binary64_25355` `mul0-rgt_binary64_25295` `div0_binary64_25293`
0×	`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_25575` `erf-erfc_binary64_25574` `erf-odd_binary64_25573` `if-if-and-not_binary64_25572` `if-if-and_binary64_25571` `if-if-or-not_binary64_25570` `if-if-or_binary64_25569` `if-not_binary64_25568` `if-same_binary64_25567` `if-false_binary64_25566` `if-true_binary64_25565` `not-gte_binary64_25564` `not-lte_binary64_25563` `not-gt_binary64_25562` `not-lt_binary64_25561` `gte-same_binary64_25560` `lte-same_binary64_25559` `gt-same_binary64_25558` `lt-same_binary64_25557` `sinh---cosh_binary64_25504` `sinh-+-cosh_binary64_25503` `sinh-cosh_binary64_25502` `tanh-def-c_binary64_25501` `tanh-def-b_binary64_25500` `tanh-def-a_binary64_25499` `cosh-def_binary64_25498` `sinh-def_binary64_25497` `tan-neg_binary64_25444` `cos-neg_binary64_25443` `sin-neg_binary64_25442` `tan-0_binary64_25441` `cos-0_binary64_25440` `sin-0_binary64_25439` `hang-m-tan_binary64_25438` `hang-p-tan_binary64_25437` `hang-m0-tan_binary64_25436` `hang-p0-tan_binary64_25435` `hang-0m-tan_binary64_25434` `hang-0p-tan_binary64_25433` `tan-+PI/2_binary64_25432` `tan-+PI_binary64_25431` `tan-PI_binary64_25430` `tan-PI/3_binary64_25429` `tan-PI/4_binary64_25428` `tan-PI/6_binary64_25427` `cos-+PI/2_binary64_25426` `cos-+PI_binary64_25425` `cos-PI_binary64_25424` `cos-PI/2_binary64_25423` `cos-PI/3_binary64_25422` `cos-PI/4_binary64_25421` `cos-PI/6_binary64_25420` `sin-+PI/2_binary64_25419` `sin-+PI_binary64_25418` `sin-PI_binary64_25417` `sin-PI/2_binary64_25416` `sin-PI/3_binary64_25415` `sin-PI/4_binary64_25414` `sin-PI/6_binary64_25413` `sub-1-sin_binary64_25412` `sub-1-cos_binary64_25411` `-1-add-sin_binary64_25410` `-1-add-cos_binary64_25409` `1-sub-sin_binary64_25408` `1-sub-cos_binary64_25407` `cos-sin-sum_binary64_25406` `log-E_binary64_25402` `log-pow_binary64_25401` `log-rec_binary64_25400` `log-div_binary64_25399` `log-prod_binary64_25398` `unpow1/3_binary64_25379` `unpow2_binary64_25377` `unpow1/2_binary64_25376` `exp-to-pow_binary64_25374` `unpow0_binary64_25371` `unpow1_binary64_25370` `unpow-1_binary64_25369` `exp-lft-cube_binary64_25368` `exp-cbrt_binary64_25366` `e-exp-1_binary64_25357` `exp-0_binary64_25354` `rem-log-exp_binary64_25353` `rem-exp-log_binary64_25352` `rem-3cbrt-rft_binary64_25338` `rem-3cbrt-lft_binary64_25337` `rem-cbrt-cube_binary64_25336` `rem-cube-cbrt_binary64_25335` `sqr-abs_binary64_25327` `rem-sqrt-square_binary64_25325` `rem-square-sqrt_binary64_25324` `mul-1-neg_binary64_25304` `/-rgt-identity_binary64_25303` `*-inverses_binary64_25292` `lft-mult-inverse_binary64_25290` `rgt-mult-inverse_binary64_25289` `remove-double-div_binary64_25288` `difference-of-sqr-1_binary64_25282` `cancel-sign-sub_binary64_25277`

Counts

1 → 3

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	10	7
2	21	4
3	36	1
4	88	1
5	387	1
6	2996	1
7	1537	1
8	2710	1

prune6.0ms (0.5%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	2	1	3
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	3	1	4

Error

Counts

4 → 1

Compiler

Compiled 10 to 8 computations (20% saved)

localize1.0ms (0.1%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Error

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)

simplify9.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

0× 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_25575 erf-erfc_binary64_25574 erf-odd_binary64_25573 if-if-and-not_binary64_25572 if-if-and_binary64_25571 if-if-or-not_binary64_25570 if-if-or_binary64_25569 if-not_binary64_25568 if-same_binary64_25567 if-false_binary64_25566 if-true_binary64_25565 not-gte_binary64_25564 not-lte_binary64_25563 not-gt_binary64_25562 not-lt_binary64_25561 gte-same_binary64_25560 lte-same_binary64_25559 gt-same_binary64_25558 lt-same_binary64_25557 sinh---cosh_binary64_25504 sinh-+-cosh_binary64_25503 sinh-cosh_binary64_25502 tanh-def-c_binary64_25501 tanh-def-b_binary64_25500 tanh-def-a_binary64_25499 cosh-def_binary64_25498 sinh-def_binary64_25497 tan-neg_binary64_25444 cos-neg_binary64_25443 sin-neg_binary64_25442 tan-0_binary64_25441 cos-0_binary64_25440 sin-0_binary64_25439 hang-m-tan_binary64_25438 hang-p-tan_binary64_25437 hang-m0-tan_binary64_25436 hang-p0-tan_binary64_25435 hang-0m-tan_binary64_25434 hang-0p-tan_binary64_25433 tan-+PI/2_binary64_25432 tan-+PI_binary64_25431 tan-PI_binary64_25430 tan-PI/3_binary64_25429 tan-PI/4_binary64_25428 tan-PI/6_binary64_25427 cos-+PI/2_binary64_25426 cos-+PI_binary64_25425 cos-PI_binary64_25424 cos-PI/2_binary64_25423 cos-PI/3_binary64_25422 cos-PI/4_binary64_25421 cos-PI/6_binary64_25420 sin-+PI/2_binary64_25419 sin-+PI_binary64_25418 sin-PI_binary64_25417 sin-PI/2_binary64_25416 sin-PI/3_binary64_25415 sin-PI/4_binary64_25414 sin-PI/6_binary64_25413 sub-1-sin_binary64_25412 sub-1-cos_binary64_25411 -1-add-sin_binary64_25410 -1-add-cos_binary64_25409 1-sub-sin_binary64_25408 1-sub-cos_binary64_25407 cos-sin-sum_binary64_25406 log-E_binary64_25402 log-pow_binary64_25401 log-rec_binary64_25400 log-div_binary64_25399 log-prod_binary64_25398 pow-base-0_binary64_25396 unpow1/3_binary64_25379 unpow3_binary64_25378 unpow2_binary64_25377 unpow1/2_binary64_25376 pow-plus_binary64_25375 exp-to-pow_binary64_25374 pow-base-1_binary64_25372 unpow0_binary64_25371 unpow1_binary64_25370 unpow-1_binary64_25369 exp-lft-cube_binary64_25368 exp-lft-sqr_binary64_25367 exp-cbrt_binary64_25366 exp-sqrt_binary64_25365 exp-prod_binary64_25364 div-exp_binary64_25363 rec-exp_binary64_25362 prod-exp_binary64_25361 exp-diff_binary64_25360 exp-neg_binary64_25359 exp-sum_binary64_25358 e-exp-1_binary64_25357 1-exp_binary64_25356 exp-1-e_binary64_25355 exp-0_binary64_25354 rem-log-exp_binary64_25353 rem-exp-log_binary64_25352 cube-unmult_binary64_25349 cube-mult_binary64_25342 cube-div_binary64_25341 cube-prod_binary64_25340 cube-neg_binary64_25339 rem-3cbrt-rft_binary64_25338 rem-3cbrt-lft_binary64_25337 rem-cbrt-cube_binary64_25336 rem-cube-cbrt_binary64_25335 sqr-abs_binary64_25327 sqr-neg_binary64_25326 rem-sqrt-square_binary64_25325 rem-square-sqrt_binary64_25324 times-frac_binary64_25318 div-sub_binary64_25317 neg-mul-1_binary64_25308 neg-sub0_binary64_25307 unsub-neg_binary64_25306 sub-neg_binary64_25305 mul-1-neg_binary64_25304 /-rgt-identity_binary64_25303 *-rgt-identity_binary64_25302 *-lft-identity_binary64_25301 remove-double-neg_binary64_25300 sub0-neg_binary64_25299 --rgt-identity_binary64_25298 +-rgt-identity_binary64_25297 +-lft-identity_binary64_25296 mul0-rgt_binary64_25295 mul0-lft_binary64_25294 div0_binary64_25293 *-inverses_binary64_25292 +-inverses_binary64_25291 lft-mult-inverse_binary64_25290 rgt-mult-inverse_binary64_25289 remove-double-div_binary64_25288 pow-sqr_binary64_25285 sqr-pow_binary64_25284 difference-of-sqr--1_binary64_25283 difference-of-sqr-1_binary64_25282 difference-of-squares_binary64_25281 unswap-sqr_binary64_25280 swap-sqr_binary64_25279 cancel-sign-sub-inv_binary64_25278 cancel-sign-sub_binary64_25277 distribute-neg-frac_binary64_25276 distribute-frac-neg_binary64_25275 distribute-neg-out_binary64_25274 distribute-neg-in_binary64_25273 distribute-rgt-neg-out_binary64_25272 distribute-lft-neg-out_binary64_25271 distribute-rgt-neg-in_binary64_25270 distribute-lft-neg-in_binary64_25269 distribute-rgt1-in_binary64_25268 distribute-lft1-in_binary64_25267 distribute-rgt-out--_binary64_25266 distribute-rgt-out_binary64_25265 distribute-lft-out--_binary64_25264 distribute-lft-out_binary64_25263 distribute-rgt-in_binary64_25262 distribute-lft-in_binary64_25261 count-2_binary64_25260 associate-/l/_binary64_25259 associate-/r/_binary64_25258 associate-/l*_binary64_25257 associate-/r*_binary64_25256 associate-*l/_binary64_25255 associate-*r/_binary64_25254 associate-*l*_binary64_25253 associate-*r*_binary64_25252 associate--r-_binary64_25251 associate--l-_binary64_25250 associate--l+_binary64_25249 associate--r+_binary64_25248 associate-+l-_binary64_25247 associate-+r-_binary64_25246 associate-+l+_binary64_25245 associate-+r+_binary64_25244 *-commutative_binary64_25243 +-commutative_binary64_25242

Counts

0 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

prune0.0ms (0%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	1	1
Done	0	0
Total	1	1

Error

Counts

1 → 1

Compiler

Compiled 0 to 0 computations (0% saved)

regimes30.0ms (2.3%)

Accuracy

Total 0b remaining (0%)

Threshold costs 0b (0%)

Compiler

Compiled 56 to 58 computations (-3.6% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1	1

Proof

h0

end0.0ms (0%)

sample538.0ms (41.2%)

Algorithm

1×

intervals

Results

76.0ms	4266×	body	128	valid
72.0ms	1097×	body	2048	valid
71.0ms	1332×	body	1024	valid
31.0ms	827×	body	512	valid
12.0ms	478×	body	256	valid

Compiler

Compiled 24 to 27 computations (-12.5% saved)

Details

analyze44.0ms (3.4%)

sample22.0ms (1.7%)

simplify653.0ms (50%)

prune6.0ms (0.5%)

localize1.0ms (0.1%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify9.0ms (0.7%)

prune0.0ms (0%)

regimes30.0ms (2.3%)

bsearch0.0ms (0%)

simplify3.0ms (0.2%)

end0.0ms (0%)

sample538.0ms (41.2%)

Profiling