Details

analyze42.0ms (4.3%)

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
25%	74.9%	0.1%	4
43.7%	56.2%	0.1%	5
59.3%	40.6%	0.1%	6
70.2%	29.7%	0.1%	7
78.8%	21.1%	0.1%	8
84.7%	15.2%	0.1%	9
89.2%	10.7%	0.1%	10
92.3%	7.6%	0.1%	11
94.5%	5.4%	0.1%	12
96.1%	3.8%	0.1%	13
97.2%	2.7%	0.1%	14

Compiler

Compiled 6 to 6 computations (0% saved)

sample12.0ms (1.3%)

Algorithm

1×

intervals

Results

4.0ms

256×

body

128

valid

Compiler

Compiled 11 to 13 computations (-18.2% saved)

simplify507.0ms (52.1%)

Algorithm

1×	egg-herbie

Rules

628×	`div-sub_binary64_10313`
495×	`exp-prod_binary64_10360`
412×	`associate-/r*_binary64_10252`
336×	`unsub-neg_binary64_10302`
260×	`swap-sqr_binary64_10275`
191×	`exp-sum_binary64_10354` `distribute-rgt-in_binary64_10258`
167×	`cube-prod_binary64_10336`
153×	`distribute-rgt-neg-out_binary64_10268`
148×	`associate-/r/_binary64_10254`
142×	`sub-neg_binary64_10301`
135×	`distribute-rgt-neg-in_binary64_10266`
126×	`cancel-sign-sub-inv_binary64_10274`
122×	`associate-/l*_binary64_10253`
120×	`difference-of-squares_binary64_10277`
112×	`distribute-neg-in_binary64_10269`
103×	`exp-diff_binary64_10356`
99×	`unswap-sqr_binary64_10276`
92×	`distribute-lft-in_binary64_10257`
89×	`distribute-rgt1-in_binary64_10264`
75×	`distribute-lft-neg-out_binary64_10267`
69×	`distribute-neg-out_binary64_10270` `distribute-lft-neg-in_binary64_10265` `associate-l_binary64_10249`
62×	`sqr-pow_binary64_10280` `associate--r-_binary64_10247`
61×	`cube-div_binary64_10337`
59×	`distribute-lft-out--_binary64_10260` `distribute-lft-out_binary64_10259`
54×	`distribute-rgt-out_binary64_10261`
53×	`distribute-rgt-out--_binary64_10262`
52×	`associate-r_binary64_10248` `associate--r+_binary64_10244`
50×	`neg-mul-1_binary64_10304`
48×	`neg-sub0_binary64_10303`
46×	`pow-sqr_binary64_10281`
44×	`pow-plus_binary64_10371`
40×	`associate--l+_binary64_10245`
39×	`distribute-frac-neg_binary64_10271` `associate--l-_binary64_10246`
36×	`associate-+l-_binary64_10243`
32×	`associate-+r-_binary64_10242`
31×	`associate-+r+_binary64_10240`
27×	`associate-+l+_binary64_10241`
22×	`*-commutative_binary64_10239`
19×	`associate-*l/_binary64_10251`
15×	`sqr-neg_binary64_10322`
14×	`exp-neg_binary64_10355`
12×	`mul0-lft_binary64_10290` `+-commutative_binary64_10238`
11×	`mul0-rgt_binary64_10291`
10×	`remove-double-neg_binary64_10296` `--rgt-identity_binary64_10294` `distribute-neg-frac_binary64_10272`
9×	`exp-lft-sqr_binary64_10363` `*-rgt-identity_binary64_10298` `sub0-neg_binary64_10295` `+-inverses_binary64_10287` `difference-of-sqr--1_binary64_10279`
8×	`pow-base-1_binary64_10368` `times-frac_binary64_10314` `distribute-lft1-in_binary64_10263` `count-2_binary64_10256`
7×	`+-rgt-identity_binary64_10293`
6×	`cube-unmult_binary64_10345` `*-lft-identity_binary64_10297`
4×	`cube-neg_binary64_10335`
3×	`+-lft-identity_binary64_10292`
2×	`*-inverses_binary64_10288`
1×	`unpow3_binary64_10374` `exp-sqrt_binary64_10361` `1-exp_binary64_10352` `exp-1-e_binary64_10351` `mul-1-neg_binary64_10300` `div0_binary64_10289`
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_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` `unpow2_binary64_10373` `unpow1/2_binary64_10372` `exp-to-pow_binary64_10370` `unpow0_binary64_10367` `unpow1_binary64_10366` `unpow-1_binary64_10365` `exp-lft-cube_binary64_10364` `exp-cbrt_binary64_10362` `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-mult_binary64_10338` `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-sqrt-square_binary64_10321` `rem-square-sqrt_binary64_10320` `/-rgt-identity_binary64_10299` `lft-mult-inverse_binary64_10286` `rgt-mult-inverse_binary64_10285` `remove-double-div_binary64_10284` `difference-of-sqr-1_binary64_10278` `cancel-sign-sub_binary64_10273` `associate-/l/_binary64_10255` `associate-*r/_binary64_10250`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	14	7
2	30	7
3	64	7
4	104	7
5	215	7
6	210	7
7	875	7
8	1381	7

prune3.0ms (0.3%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

Counts

2 → 1

Compiler

Compiled 10 to 10 computations (0% saved)

localize4.0ms (0.4%)

rewrite0.0ms (0.1%)

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 (0.9%)

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_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 1-exp_binary64_10352 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 +-commutative_binary64_10238

Counts

0 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

prune2.0ms (0.2%)

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 5 to 5 computations (0% saved)

simplify4.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

4×	`sub-neg_binary64_10301` `+-commutative_binary64_10238`
2×	`neg-mul-1_binary64_10304` `neg-sub0_binary64_10303` `*-commutative_binary64_10239`
1×	`1-exp_binary64_10352`
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` `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` `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)

Iter	Nodes	Cost
0	6	7
1	12	7
2	19	7
3	23	7
4	25	7

Proof

(- f64 (- f64 1 h0) h1)

end0.0ms (0%)

sample390.0ms (40.1%)

Algorithm

1×

intervals

Results

135.0ms	7997×	body	128	valid
0.0ms	2×	body	1024	valid
0.0ms	1×	body	512	valid

Compiler

Compiled 16 to 18 computations (-12.5% saved)

Details

analyze42.0ms (4.3%)

sample12.0ms (1.3%)

simplify507.0ms (52.1%)

prune3.0ms (0.3%)

localize4.0ms (0.4%)

rewrite0.0ms (0.1%)

series0.0ms (0%)

simplify9.0ms (0.9%)

prune2.0ms (0.2%)

simplify4.0ms (0.4%)

end0.0ms (0%)

sample390.0ms (40.1%)

Profiling