Details

analyze631.0ms (8.6%)

Algorithm

1×	search
2×	egg-herbie

Rules

1392×	`div-sub_binary64_10995`
618×	`*-commutative_binary64_10921`
542×	`sub-neg_binary64_10983`
532×	`unsub-neg_binary64_10984`
468×	`associate-/r/_binary64_10936`
455×	`distribute-rgt-out_binary64_10943`
453×	`distribute-rgt-out--_binary64_10944`
446×	`associate-/r*_binary64_10934`
352×	`distribute-neg-in_binary64_10951`
266×	`cancel-sign-sub-inv_binary64_10956`
264×	`times-frac_binary64_10996`
252×	`neg-mul-1_binary64_10986`
247×	`neg-sub0_binary64_10985`
246×	`+-commutative_binary64_10920`
228×	`log-prod_binary64_11076`
224×	`distribute-rgt-in_binary64_10940`
208×	`associate-*l/_binary64_10933`
200×	`distribute-neg-frac_binary64_10954`
171×	`distribute-rgt-neg-in_binary64_10948`
168×	`distribute-lft-neg-in_binary64_10947` `distribute-lft-in_binary64_10939`
167×	`distribute-neg-out_binary64_10952` `associate-+l-_binary64_10925`
160×	`associate--r+_binary64_10926`
148×	`log-div_binary64_11077`
145×	`associate-/l*_binary64_10935`
128×	`associate--r-_binary64_10929`
120×	`associate--l-_binary64_10928`
116×	`associate-*r/_binary64_10932`
112×	`distribute-lft-neg-out_binary64_10949`
102×	`associate-+r-_binary64_10924`
101×	`associate--l+_binary64_10927`
90×	`distribute-rgt-neg-out_binary64_10950`
70×	`distribute-frac-neg_binary64_10953`
58×	`associate-+l+_binary64_10923`
54×	`associate-/l/_binary64_10937`
50×	`/-rgt-identity_binary64_10981` `associate-+r+_binary64_10922`
46×	`associate-r_binary64_10930`
23×	`remove-double-neg_binary64_10978` `sub0-neg_binary64_10977` `+-rgt-identity_binary64_10975`
22×	`log-rec_binary64_11078`
21×	`-rgt-identity_binary64_10980` `associate-l*_binary64_10931`
18×	`mul0-rgt_binary64_10973`
16×	`mul0-lft_binary64_10972`
15×	`*-lft-identity_binary64_10979` `distribute-lft-out--_binary64_10942`
13×	`--rgt-identity_binary64_10976`
8×	`+-lft-identity_binary64_10974` `cancel-sign-sub_binary64_10955`
4×	`mul-1-neg_binary64_10982` `distribute-lft-out_binary64_10941`
3×	`div0_binary64_10971`
1×	`1-exp_binary64_11034` `+-inverses_binary64_10969` `distribute-rgt1-in_binary64_10946` `distribute-lft1-in_binary64_10945` `count-2_binary64_10938`
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_11253` `erf-erfc_binary64_11252` `erf-odd_binary64_11251` `if-if-and-not_binary64_11250` `if-if-and_binary64_11249` `if-if-or-not_binary64_11248` `if-if-or_binary64_11247` `if-not_binary64_11246` `if-same_binary64_11245` `if-false_binary64_11244` `if-true_binary64_11243` `not-gte_binary64_11242` `not-lte_binary64_11241` `not-gt_binary64_11240` `not-lt_binary64_11239` `gte-same_binary64_11238` `lte-same_binary64_11237` `gt-same_binary64_11236` `lt-same_binary64_11235` `sinh---cosh_binary64_11182` `sinh-+-cosh_binary64_11181` `sinh-cosh_binary64_11180` `tanh-def-c_binary64_11179` `tanh-def-b_binary64_11178` `tanh-def-a_binary64_11177` `cosh-def_binary64_11176` `sinh-def_binary64_11175` `tan-neg_binary64_11122` `cos-neg_binary64_11121` `sin-neg_binary64_11120` `tan-0_binary64_11119` `cos-0_binary64_11118` `sin-0_binary64_11117` `hang-m-tan_binary64_11116` `hang-p-tan_binary64_11115` `hang-m0-tan_binary64_11114` `hang-p0-tan_binary64_11113` `hang-0m-tan_binary64_11112` `hang-0p-tan_binary64_11111` `tan-+PI/2_binary64_11110` `tan-+PI_binary64_11109` `tan-PI_binary64_11108` `tan-PI/3_binary64_11107` `tan-PI/4_binary64_11106` `tan-PI/6_binary64_11105` `cos-+PI/2_binary64_11104` `cos-+PI_binary64_11103` `cos-PI_binary64_11102` `cos-PI/2_binary64_11101` `cos-PI/3_binary64_11100` `cos-PI/4_binary64_11099` `cos-PI/6_binary64_11098` `sin-+PI/2_binary64_11097` `sin-+PI_binary64_11096` `sin-PI_binary64_11095` `sin-PI/2_binary64_11094` `sin-PI/3_binary64_11093` `sin-PI/4_binary64_11092` `sin-PI/6_binary64_11091` `sub-1-sin_binary64_11090` `sub-1-cos_binary64_11089` `-1-add-sin_binary64_11088` `-1-add-cos_binary64_11087` `1-sub-sin_binary64_11086` `1-sub-cos_binary64_11085` `cos-sin-sum_binary64_11084` `log-E_binary64_11080` `log-pow_binary64_11079` `pow-base-0_binary64_11074` `unpow1/3_binary64_11057` `unpow3_binary64_11056` `unpow2_binary64_11055` `unpow1/2_binary64_11054` `pow-plus_binary64_11053` `exp-to-pow_binary64_11052` `pow-base-1_binary64_11050` `unpow0_binary64_11049` `unpow1_binary64_11048` `unpow-1_binary64_11047` `exp-lft-cube_binary64_11046` `exp-lft-sqr_binary64_11045` `exp-cbrt_binary64_11044` `exp-sqrt_binary64_11043` `exp-prod_binary64_11042` `div-exp_binary64_11041` `rec-exp_binary64_11040` `prod-exp_binary64_11039` `exp-diff_binary64_11038` `exp-neg_binary64_11037` `exp-sum_binary64_11036` `e-exp-1_binary64_11035` `exp-1-e_binary64_11033` `exp-0_binary64_11032` `rem-log-exp_binary64_11031` `rem-exp-log_binary64_11030` `cube-unmult_binary64_11027` `cube-mult_binary64_11020` `cube-div_binary64_11019` `cube-prod_binary64_11018` `cube-neg_binary64_11017` `rem-3cbrt-rft_binary64_11016` `rem-3cbrt-lft_binary64_11015` `rem-cbrt-cube_binary64_11014` `rem-cube-cbrt_binary64_11013` `sqr-abs_binary64_11005` `sqr-neg_binary64_11004` `rem-sqrt-square_binary64_11003` `rem-square-sqrt_binary64_11002` `*-inverses_binary64_10970` `lft-mult-inverse_binary64_10968` `rgt-mult-inverse_binary64_10967` `remove-double-div_binary64_10966` `pow-sqr_binary64_10963` `sqr-pow_binary64_10962` `difference-of-sqr--1_binary64_10961` `difference-of-sqr-1_binary64_10960` `difference-of-squares_binary64_10959` `unswap-sqr_binary64_10958` `swap-sqr_binary64_10957`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	48
1	38	48
2	57	48
3	111	48
4	254	48
5	540	48
6	920	48
7	1130	48
8	1728	48
9	2440	48
10	3009	48
11	3115	48
12	3235	48
13	3313	48
14	3335	48
15	3335	48
16	4843	48
17	4349	48
18	4805	48
19	4265	48
20	4319	48
21	4319	48
22	4319	48
23	5365	48
0	3	3
1	3	3

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
0%	87.4%	12.6%	5
9.4%	65.5%	25.1%	6
14%	60.8%	25.1%	7
19.5%	49.1%	31.4%	8
24.6%	37.8%	37.6%	9
28.7%	33.7%	37.6%	10
33.3%	26%	40.7%	11
36.2%	19.9%	43.8%	12
38.6%	17.6%	43.8%	13
41.3%	13.3%	45.4%	14

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample22.0ms (0.3%)

Algorithm

1×

intervals

Results

11.0ms	256×	body	128	valid
1.0ms	22×	body	128	nan

Compiler

Compiled 17 to 18 computations (-5.9% saved)

simplify271.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

2687×	`associate--r-_binary64_10929`
827×	`unsub-neg_binary64_10984`
630×	`distribute-rgt-in_binary64_10940`
539×	`distribute-lft-in_binary64_10939`
287×	`sub-neg_binary64_10983`
237×	`distribute-neg-in_binary64_10951`
200×	`associate--l-_binary64_10928`
186×	`associate-r_binary64_10930`
175×	`+-commutative_binary64_10920`
160×	`associate--r+_binary64_10926`
153×	`associate-l_binary64_10931` `associate-+l+_binary64_10923`
144×	`*-commutative_binary64_10921`
137×	`associate-+r+_binary64_10922`
122×	`distribute-rgt-neg-out_binary64_10950`
121×	`associate--l+_binary64_10927`
117×	`distribute-lft-neg-out_binary64_10949`
106×	`distribute-neg-out_binary64_10952`
90×	`neg-sub0_binary64_10985`
89×	`cancel-sign-sub-inv_binary64_10956`
88×	`distribute-rgt-out--_binary64_10944`
77×	`distribute-rgt-out_binary64_10943`
74×	`distribute-rgt-neg-in_binary64_10948`
65×	`neg-mul-1_binary64_10986`
63×	`distribute-lft-neg-in_binary64_10947`
47×	`associate-+l-_binary64_10925`
46×	`mul0-rgt_binary64_10973`
45×	`mul0-lft_binary64_10972`
24×	`log-div_binary64_11077`
21×	`log-prod_binary64_11076`
19×	`associate-+r-_binary64_10924`
18×	`remove-double-neg_binary64_10978`
15×	`*-lft-identity_binary64_10979`
14×	`*-rgt-identity_binary64_10980` `associate-/r/_binary64_10936`
12×	`--rgt-identity_binary64_10976`
11×	`associate-/l*_binary64_10935`
10×	`div-sub_binary64_10995` `distribute-rgt1-in_binary64_10946`
8×	`sub0-neg_binary64_10977` `+-lft-identity_binary64_10974`
7×	`distribute-lft-out--_binary64_10942`
6×	`+-rgt-identity_binary64_10975` `associate-/r*_binary64_10934`
5×	`distribute-lft-out_binary64_10941`
3×	`log-rec_binary64_11078` `cancel-sign-sub_binary64_10955` `distribute-neg-frac_binary64_10954` `distribute-frac-neg_binary64_10953` `distribute-lft1-in_binary64_10945`
2×	`/-rgt-identity_binary64_10981` `div0_binary64_10971`
1×	`1-exp_binary64_11034` `mul-1-neg_binary64_10982` `count-2_binary64_10938` `associate-/l/_binary64_10937`
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_11253` `erf-erfc_binary64_11252` `erf-odd_binary64_11251` `if-if-and-not_binary64_11250` `if-if-and_binary64_11249` `if-if-or-not_binary64_11248` `if-if-or_binary64_11247` `if-not_binary64_11246` `if-same_binary64_11245` `if-false_binary64_11244` `if-true_binary64_11243` `not-gte_binary64_11242` `not-lte_binary64_11241` `not-gt_binary64_11240` `not-lt_binary64_11239` `gte-same_binary64_11238` `lte-same_binary64_11237` `gt-same_binary64_11236` `lt-same_binary64_11235` `sinh---cosh_binary64_11182` `sinh-+-cosh_binary64_11181` `sinh-cosh_binary64_11180` `tanh-def-c_binary64_11179` `tanh-def-b_binary64_11178` `tanh-def-a_binary64_11177` `cosh-def_binary64_11176` `sinh-def_binary64_11175` `tan-neg_binary64_11122` `cos-neg_binary64_11121` `sin-neg_binary64_11120` `tan-0_binary64_11119` `cos-0_binary64_11118` `sin-0_binary64_11117` `hang-m-tan_binary64_11116` `hang-p-tan_binary64_11115` `hang-m0-tan_binary64_11114` `hang-p0-tan_binary64_11113` `hang-0m-tan_binary64_11112` `hang-0p-tan_binary64_11111` `tan-+PI/2_binary64_11110` `tan-+PI_binary64_11109` `tan-PI_binary64_11108` `tan-PI/3_binary64_11107` `tan-PI/4_binary64_11106` `tan-PI/6_binary64_11105` `cos-+PI/2_binary64_11104` `cos-+PI_binary64_11103` `cos-PI_binary64_11102` `cos-PI/2_binary64_11101` `cos-PI/3_binary64_11100` `cos-PI/4_binary64_11099` `cos-PI/6_binary64_11098` `sin-+PI/2_binary64_11097` `sin-+PI_binary64_11096` `sin-PI_binary64_11095` `sin-PI/2_binary64_11094` `sin-PI/3_binary64_11093` `sin-PI/4_binary64_11092` `sin-PI/6_binary64_11091` `sub-1-sin_binary64_11090` `sub-1-cos_binary64_11089` `-1-add-sin_binary64_11088` `-1-add-cos_binary64_11087` `1-sub-sin_binary64_11086` `1-sub-cos_binary64_11085` `cos-sin-sum_binary64_11084` `log-E_binary64_11080` `log-pow_binary64_11079` `pow-base-0_binary64_11074` `unpow1/3_binary64_11057` `unpow3_binary64_11056` `unpow2_binary64_11055` `unpow1/2_binary64_11054` `pow-plus_binary64_11053` `exp-to-pow_binary64_11052` `pow-base-1_binary64_11050` `unpow0_binary64_11049` `unpow1_binary64_11048` `unpow-1_binary64_11047` `exp-lft-cube_binary64_11046` `exp-lft-sqr_binary64_11045` `exp-cbrt_binary64_11044` `exp-sqrt_binary64_11043` `exp-prod_binary64_11042` `div-exp_binary64_11041` `rec-exp_binary64_11040` `prod-exp_binary64_11039` `exp-diff_binary64_11038` `exp-neg_binary64_11037` `exp-sum_binary64_11036` `e-exp-1_binary64_11035` `exp-1-e_binary64_11033` `exp-0_binary64_11032` `rem-log-exp_binary64_11031` `rem-exp-log_binary64_11030` `cube-unmult_binary64_11027` `cube-mult_binary64_11020` `cube-div_binary64_11019` `cube-prod_binary64_11018` `cube-neg_binary64_11017` `rem-3cbrt-rft_binary64_11016` `rem-3cbrt-lft_binary64_11015` `rem-cbrt-cube_binary64_11014` `rem-cube-cbrt_binary64_11013` `sqr-abs_binary64_11005` `sqr-neg_binary64_11004` `rem-sqrt-square_binary64_11003` `rem-square-sqrt_binary64_11002` `times-frac_binary64_10996` `-inverses_binary64_10970` `+-inverses_binary64_10969` `lft-mult-inverse_binary64_10968` `rgt-mult-inverse_binary64_10967` `remove-double-div_binary64_10966` `pow-sqr_binary64_10963` `sqr-pow_binary64_10962` `difference-of-sqr--1_binary64_10961` `difference-of-sqr-1_binary64_10960` `difference-of-squares_binary64_10959` `unswap-sqr_binary64_10958` `swap-sqr_binary64_10957` `associate-l/_binary64_10933` `associate-*r/_binary64_10932`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	12
1	14	12
2	21	12
3	36	12
4	76	12
5	156	12
6	253	12
7	349	12
8	517	12
9	1169	12
10	1349	12
11	1553	12
12	1735	12
13	1821	12
14	1843	12
15	2549	12
16	2402	12
17	2482	12
18	2486	12
19	2498	12
20	2502	12
21	2522	12
22	2522	12
23	2750	12
24	2676	12
25	2638	12
26	2638	12
27	5063	12

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

11.9b

Counts

1 → 1

Compiler

Compiled 8 to 7 computations (12.5% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)
0.3b	(*.f64 x (log.f64 (/.f64 x y)))
11.6b	(log.f64 (/.f64 x y))

rewrite135.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

0.8b

Rules

65×	`log-prod_binary64_11076`
45×	`times-frac_binary64_10996`
43×	`add-sqr-sqrt_binary64_11012`
41×	`add-cube-cbrt_binary64_11025` `*-un-lft-identity_binary64_10990`
26×	`distribute-rgt-in_binary64_10940` `distribute-lft-in_binary64_10939` `associate--l+_binary64_10927`
8×	`add-exp-log_binary64_11028`
7×	`pow1_binary64_11051`
5×	`div-inv_binary64_10987` `add-log-exp_binary64_11029` `add-cbrt-cube_binary64_11026`
4×	`associate-r_binary64_10930`
3×	`associate-l_binary64_10931` `cancel-sign-sub-inv_binary64_10956`
2×	`log-pow_binary64_11079` `rem-log-exp_binary64_11031`
1×	`log-div_binary64_11077` `div-exp_binary64_11041` `pow-prod-down_binary64_11061` `prod-exp_binary64_11039` `cbrt-unprod_binary64_11023` `unswap-sqr_binary64_10958` `*-commutative_binary64_10921` `diff-log_binary64_11082` `flip3--_binary64_10994` `sub-neg_binary64_10983` `flip--_binary64_10965`

Counts

3 → 109

Calls

3 calls:

9.0ms	(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)
7.0ms	(*.f64 x (log.f64 (/.f64 x y)))
3.0ms	(log.f64 (/.f64 x y))

Compiler

Compiled 1824 to 491 computations (73.1% saved)

series951.0ms (13%)

Error

0.1b

Counts

3 → 27

Calls

3 calls:

464.0ms	(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)
254.0ms	(*.f64 x (log.f64 (/.f64 x y)))
208.0ms	(log.f64 (/.f64 x y))

Compiler

Compiled 807 to 630 computations (21.9% saved)

simplify134.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

477×	`unsub-neg_binary64_10984`
401×	`distribute-rgt-in_binary64_10940`
380×	`distribute-lft-in_binary64_10939`
378×	`associate-l_binary64_10931`
328×	`associate-r_binary64_10930`
323×	`sub-neg_binary64_10983`
265×	`cancel-sign-sub-inv_binary64_10956`
207×	`times-frac_binary64_10996`
137×	`exp-sum_binary64_11036` `neg-sub0_binary64_10985`
126×	`*-commutative_binary64_10921`
120×	`neg-mul-1_binary64_10986`
104×	`exp-prod_binary64_11042`
92×	`+-commutative_binary64_10920`
87×	`log-div_binary64_11077`
86×	`log-prod_binary64_11076`
79×	`exp-diff_binary64_11038`
76×	`associate-+l+_binary64_10923`
73×	`associate-+r+_binary64_10922`
68×	`associate-+r-_binary64_10924`
59×	`*-rgt-identity_binary64_10980`
58×	`*-lft-identity_binary64_10979` `associate-+l-_binary64_10925`
57×	`distribute-rgt-neg-out_binary64_10950` `distribute-lft-neg-out_binary64_10949`
54×	`sqr-pow_binary64_10962`
51×	`associate--l-_binary64_10928`
43×	`associate--l+_binary64_10927`
40×	`div-sub_binary64_10995`
34×	`unswap-sqr_binary64_10958`
33×	`swap-sqr_binary64_10957`
29×	`cube-prod_binary64_11018`
27×	`+-rgt-identity_binary64_10975`
24×	`exp-to-pow_binary64_11052` `sub0-neg_binary64_10977`
23×	`distribute-rgt-neg-in_binary64_10948`
20×	`sqr-neg_binary64_11004` `associate--r+_binary64_10926`
19×	`associate-/l_binary64_10935` `associate-/r_binary64_10934`
17×	`distribute-neg-in_binary64_10951`
16×	`difference-of-squares_binary64_10959`
15×	`unpow3_binary64_11056`
13×	`associate-/l/_binary64_10937`
11×	`log-rec_binary64_11078` `distribute-lft-neg-in_binary64_10947` `distribute-rgt-out_binary64_10943` `associate-/r/_binary64_10936` `associate--r-_binary64_10929`
10×	`cube-neg_binary64_11017`
9×	`log-pow_binary64_11079` `exp-neg_binary64_11037` `cube-unmult_binary64_11027` `distribute-lft-out_binary64_10941`
8×	`cube-mult_binary64_11020` `mul0-rgt_binary64_10973` `mul0-lft_binary64_10972`
7×	`mul-1-neg_binary64_10982` `--rgt-identity_binary64_10976` `pow-sqr_binary64_10963` `distribute-neg-out_binary64_10952` `associate-*r/_binary64_10932`
6×	`/-rgt-identity_binary64_10981` `remove-double-neg_binary64_10978`
5×	`pow-plus_binary64_11053` `rem-sqrt-square_binary64_11003` `count-2_binary64_10938` `associate-*l/_binary64_10933`
4×	`unpow1/2_binary64_11054` `div-exp_binary64_11041` `prod-exp_binary64_11039` `rem-exp-log_binary64_11030`
3×	`cube-div_binary64_11019`
1×	`rec-exp_binary64_11040` `1-exp_binary64_11034` `exp-1-e_binary64_11033` `rem-log-exp_binary64_11031` `rem-3cbrt-lft_binary64_11015` `rem-square-sqrt_binary64_11002` `+-inverses_binary64_10969` `distribute-frac-neg_binary64_10953` `distribute-rgt1-in_binary64_10946` `distribute-rgt-out--_binary64_10944` `distribute-lft-out--_binary64_10942`
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_11253` `erf-erfc_binary64_11252` `erf-odd_binary64_11251` `if-if-and-not_binary64_11250` `if-if-and_binary64_11249` `if-if-or-not_binary64_11248` `if-if-or_binary64_11247` `if-not_binary64_11246` `if-same_binary64_11245` `if-false_binary64_11244` `if-true_binary64_11243` `not-gte_binary64_11242` `not-lte_binary64_11241` `not-gt_binary64_11240` `not-lt_binary64_11239` `gte-same_binary64_11238` `lte-same_binary64_11237` `gt-same_binary64_11236` `lt-same_binary64_11235` `sinh---cosh_binary64_11182` `sinh-+-cosh_binary64_11181` `sinh-cosh_binary64_11180` `tanh-def-c_binary64_11179` `tanh-def-b_binary64_11178` `tanh-def-a_binary64_11177` `cosh-def_binary64_11176` `sinh-def_binary64_11175` `tan-neg_binary64_11122` `cos-neg_binary64_11121` `sin-neg_binary64_11120` `tan-0_binary64_11119` `cos-0_binary64_11118` `sin-0_binary64_11117` `hang-m-tan_binary64_11116` `hang-p-tan_binary64_11115` `hang-m0-tan_binary64_11114` `hang-p0-tan_binary64_11113` `hang-0m-tan_binary64_11112` `hang-0p-tan_binary64_11111` `tan-+PI/2_binary64_11110` `tan-+PI_binary64_11109` `tan-PI_binary64_11108` `tan-PI/3_binary64_11107` `tan-PI/4_binary64_11106` `tan-PI/6_binary64_11105` `cos-+PI/2_binary64_11104` `cos-+PI_binary64_11103` `cos-PI_binary64_11102` `cos-PI/2_binary64_11101` `cos-PI/3_binary64_11100` `cos-PI/4_binary64_11099` `cos-PI/6_binary64_11098` `sin-+PI/2_binary64_11097` `sin-+PI_binary64_11096` `sin-PI_binary64_11095` `sin-PI/2_binary64_11094` `sin-PI/3_binary64_11093` `sin-PI/4_binary64_11092` `sin-PI/6_binary64_11091` `sub-1-sin_binary64_11090` `sub-1-cos_binary64_11089` `-1-add-sin_binary64_11088` `-1-add-cos_binary64_11087` `1-sub-sin_binary64_11086` `1-sub-cos_binary64_11085` `cos-sin-sum_binary64_11084` `log-E_binary64_11080` `pow-base-0_binary64_11074` `unpow1/3_binary64_11057` `unpow2_binary64_11055` `pow-base-1_binary64_11050` `unpow0_binary64_11049` `unpow1_binary64_11048` `unpow-1_binary64_11047` `exp-lft-cube_binary64_11046` `exp-lft-sqr_binary64_11045` `exp-cbrt_binary64_11044` `exp-sqrt_binary64_11043` `e-exp-1_binary64_11035` `exp-0_binary64_11032` `rem-3cbrt-rft_binary64_11016` `rem-cbrt-cube_binary64_11014` `rem-cube-cbrt_binary64_11013` `sqr-abs_binary64_11005` `+-lft-identity_binary64_10974` `div0_binary64_10971` `*-inverses_binary64_10970` `lft-mult-inverse_binary64_10968` `rgt-mult-inverse_binary64_10967` `remove-double-div_binary64_10966` `difference-of-sqr--1_binary64_10961` `difference-of-sqr-1_binary64_10960` `cancel-sign-sub_binary64_10955` `distribute-neg-frac_binary64_10954` `distribute-lft1-in_binary64_10945`

Counts

136 → 80

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	213	2069
1	367	2008
2	1068	1964
3	3353	1964
4	4514	1964
5	4965	1964

prune82.0ms (1.1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	74	6	80
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	74	7	81

Error

0.0b

Counts

81 → 7

Compiler

Compiled 1187 to 382 computations (67.8% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)

rewrite59.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

12×	`cbrt-prod_binary64_11021`
8×	`add-cube-cbrt_binary64_11025` `add-sqr-sqrt_binary64_11012` `*-un-lft-identity_binary64_10990`
4×	`pow1/3_binary64_11072` `pow1_binary64_11051` `add-log-exp_binary64_11029` `add-exp-log_binary64_11028` `add-cbrt-cube_binary64_11026`

Counts

4 → 44

Calls

4 calls:

2.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

Compiler

Compiled 1020 to 357 computations (65% saved)

series476.0ms (6.5%)

Error

0.0b

Counts

4 → 12

Calls

4 calls:

125.0ms	(cbrt.f64 y)
122.0ms	(cbrt.f64 y)
113.0ms	(cbrt.f64 x)
103.0ms	(cbrt.f64 x)

Compiler

Compiled 780 to 559 computations (28.3% saved)

simplify100.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

596×	`log-prod_binary64_11076`
434×	`distribute-rgt-in_binary64_10940`
426×	`distribute-lft-in_binary64_10939`
382×	`associate-l_binary64_10931`
368×	`distribute-rgt-neg-in_binary64_10948` `distribute-lft-neg-in_binary64_10947`
356×	`unswap-sqr_binary64_10958`
334×	`distribute-rgt-out_binary64_10943`
254×	`*-commutative_binary64_10921`
238×	`associate-r_binary64_10930`
236×	`associate-+l+_binary64_10923` `associate-+r+_binary64_10922`
158×	`cancel-sign-sub-inv_binary64_10956`
124×	`sqr-pow_binary64_10962`
114×	`log-pow_binary64_11079`
78×	`exp-prod_binary64_11042`
58×	`cube-prod_binary64_11018`
54×	`neg-sub0_binary64_10985`
52×	`neg-mul-1_binary64_10986`
50×	`distribute-rgt1-in_binary64_10946`
48×	`unsub-neg_binary64_10984`
36×	`pow-plus_binary64_11053` `pow-sqr_binary64_10963`
34×	`distribute-rgt-neg-out_binary64_10950` `distribute-lft-neg-out_binary64_10949`
30×	`sub-neg_binary64_10983`
28×	`distribute-lft-out_binary64_10941`
26×	`unpow3_binary64_11056` `distribute-lft1-in_binary64_10945`
22×	`*-rgt-identity_binary64_10980`
20×	`rem-sqrt-square_binary64_11003` `*-lft-identity_binary64_10979` `count-2_binary64_10938`
18×	`cube-unmult_binary64_11027`
16×	`cube-mult_binary64_11020` `mul0-rgt_binary64_10973` `mul0-lft_binary64_10972`
10×	`associate-/l*_binary64_10935`
8×	`unpow2_binary64_11055`
4×	`unpow1/3_binary64_11057` `associate-/l/_binary64_10937` `associate-*r/_binary64_10932`
2×	`unpow1_binary64_11048` `rem-3cbrt-lft_binary64_11015` `times-frac_binary64_10996` `mul-1-neg_binary64_10982` `sub0-neg_binary64_10977` `--rgt-identity_binary64_10976` `associate-/r/_binary64_10936` `associate-/r*_binary64_10934` `associate-+l-_binary64_10925` `+-commutative_binary64_10920`
1×	`1-exp_binary64_11034`
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_11253` `erf-erfc_binary64_11252` `erf-odd_binary64_11251` `if-if-and-not_binary64_11250` `if-if-and_binary64_11249` `if-if-or-not_binary64_11248` `if-if-or_binary64_11247` `if-not_binary64_11246` `if-same_binary64_11245` `if-false_binary64_11244` `if-true_binary64_11243` `not-gte_binary64_11242` `not-lte_binary64_11241` `not-gt_binary64_11240` `not-lt_binary64_11239` `gte-same_binary64_11238` `lte-same_binary64_11237` `gt-same_binary64_11236` `lt-same_binary64_11235` `sinh---cosh_binary64_11182` `sinh-+-cosh_binary64_11181` `sinh-cosh_binary64_11180` `tanh-def-c_binary64_11179` `tanh-def-b_binary64_11178` `tanh-def-a_binary64_11177` `cosh-def_binary64_11176` `sinh-def_binary64_11175` `tan-neg_binary64_11122` `cos-neg_binary64_11121` `sin-neg_binary64_11120` `tan-0_binary64_11119` `cos-0_binary64_11118` `sin-0_binary64_11117` `hang-m-tan_binary64_11116` `hang-p-tan_binary64_11115` `hang-m0-tan_binary64_11114` `hang-p0-tan_binary64_11113` `hang-0m-tan_binary64_11112` `hang-0p-tan_binary64_11111` `tan-+PI/2_binary64_11110` `tan-+PI_binary64_11109` `tan-PI_binary64_11108` `tan-PI/3_binary64_11107` `tan-PI/4_binary64_11106` `tan-PI/6_binary64_11105` `cos-+PI/2_binary64_11104` `cos-+PI_binary64_11103` `cos-PI_binary64_11102` `cos-PI/2_binary64_11101` `cos-PI/3_binary64_11100` `cos-PI/4_binary64_11099` `cos-PI/6_binary64_11098` `sin-+PI/2_binary64_11097` `sin-+PI_binary64_11096` `sin-PI_binary64_11095` `sin-PI/2_binary64_11094` `sin-PI/3_binary64_11093` `sin-PI/4_binary64_11092` `sin-PI/6_binary64_11091` `sub-1-sin_binary64_11090` `sub-1-cos_binary64_11089` `-1-add-sin_binary64_11088` `-1-add-cos_binary64_11087` `1-sub-sin_binary64_11086` `1-sub-cos_binary64_11085` `cos-sin-sum_binary64_11084` `log-E_binary64_11080` `log-rec_binary64_11078` `log-div_binary64_11077` `pow-base-0_binary64_11074` `unpow1/2_binary64_11054` `exp-to-pow_binary64_11052` `pow-base-1_binary64_11050` `unpow0_binary64_11049` `unpow-1_binary64_11047` `exp-lft-cube_binary64_11046` `exp-lft-sqr_binary64_11045` `exp-cbrt_binary64_11044` `exp-sqrt_binary64_11043` `div-exp_binary64_11041` `rec-exp_binary64_11040` `prod-exp_binary64_11039` `exp-diff_binary64_11038` `exp-neg_binary64_11037` `exp-sum_binary64_11036` `e-exp-1_binary64_11035` `exp-1-e_binary64_11033` `exp-0_binary64_11032` `rem-log-exp_binary64_11031` `rem-exp-log_binary64_11030` `cube-div_binary64_11019` `cube-neg_binary64_11017` `rem-3cbrt-rft_binary64_11016` `rem-cbrt-cube_binary64_11014` `rem-cube-cbrt_binary64_11013` `sqr-abs_binary64_11005` `sqr-neg_binary64_11004` `rem-square-sqrt_binary64_11002` `div-sub_binary64_10995` `/-rgt-identity_binary64_10981` `remove-double-neg_binary64_10978` `+-rgt-identity_binary64_10975` `+-lft-identity_binary64_10974` `div0_binary64_10971` `-inverses_binary64_10970` `+-inverses_binary64_10969` `lft-mult-inverse_binary64_10968` `rgt-mult-inverse_binary64_10967` `remove-double-div_binary64_10966` `difference-of-sqr--1_binary64_10961` `difference-of-sqr-1_binary64_10960` `difference-of-squares_binary64_10959` `swap-sqr_binary64_10957` `cancel-sign-sub_binary64_10955` `distribute-neg-frac_binary64_10954` `distribute-frac-neg_binary64_10953` `distribute-neg-out_binary64_10952` `distribute-neg-in_binary64_10951` `distribute-rgt-out--_binary64_10944` `distribute-lft-out--_binary64_10942` `associate-l/_binary64_10933` `associate--r-_binary64_10929` `associate--l-_binary64_10928` `associate--l+_binary64_10927` `associate--r+_binary64_10926` `associate-+r-_binary64_10924`

Counts

56 → 20

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	38	340
1	61	324
2	151	324
3	385	324
4	1190	324
5	3448	324
6	4669	324
7	4967	324
8	4832	324

prune28.0ms (0.4%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	20	0	20
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	20	7	27

Error

0.0b

Counts

27 → 7

Compiler

Compiled 519 to 225 computations (56.6% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)

rewrite60.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

12×	`cbrt-prod_binary64_11021`
8×	`add-cube-cbrt_binary64_11025` `add-sqr-sqrt_binary64_11012` `*-un-lft-identity_binary64_10990`
4×	`pow1/3_binary64_11072` `pow1_binary64_11051` `add-log-exp_binary64_11029` `add-exp-log_binary64_11028` `add-cbrt-cube_binary64_11026`

Counts

4 → 44

Calls

4 calls:

1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 y)

Compiler

Compiled 1108 to 380 computations (65.7% saved)

series462.0ms (6.3%)

Error

0.0b

Counts

4 → 12

Calls

4 calls:

119.0ms	(cbrt.f64 x)
113.0ms	(cbrt.f64 y)
113.0ms	(cbrt.f64 y)
101.0ms	(cbrt.f64 x)

Compiler

Compiled 852 to 590 computations (30.8% saved)

simplify100.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

596×	`log-prod_binary64_11076`
434×	`distribute-rgt-in_binary64_10940`
426×	`distribute-lft-in_binary64_10939`
382×	`associate-l_binary64_10931`
368×	`distribute-rgt-neg-in_binary64_10948` `distribute-lft-neg-in_binary64_10947`
356×	`unswap-sqr_binary64_10958`
334×	`distribute-rgt-out_binary64_10943`
254×	`*-commutative_binary64_10921`
238×	`associate-r_binary64_10930`
236×	`associate-+l+_binary64_10923` `associate-+r+_binary64_10922`
158×	`cancel-sign-sub-inv_binary64_10956`
124×	`sqr-pow_binary64_10962`
114×	`log-pow_binary64_11079`
78×	`exp-prod_binary64_11042`
58×	`cube-prod_binary64_11018`
54×	`neg-sub0_binary64_10985`
52×	`neg-mul-1_binary64_10986`
50×	`distribute-rgt1-in_binary64_10946`
48×	`unsub-neg_binary64_10984`
36×	`pow-plus_binary64_11053` `pow-sqr_binary64_10963`
34×	`distribute-rgt-neg-out_binary64_10950` `distribute-lft-neg-out_binary64_10949`
30×	`sub-neg_binary64_10983`
28×	`distribute-lft-out_binary64_10941`
26×	`unpow3_binary64_11056` `distribute-lft1-in_binary64_10945`
22×	`*-rgt-identity_binary64_10980`
20×	`rem-sqrt-square_binary64_11003` `*-lft-identity_binary64_10979` `count-2_binary64_10938`
18×	`cube-unmult_binary64_11027`
16×	`cube-mult_binary64_11020` `mul0-rgt_binary64_10973` `mul0-lft_binary64_10972`
10×	`associate-/l*_binary64_10935`
8×	`unpow2_binary64_11055`
4×	`unpow1/3_binary64_11057` `associate-/l/_binary64_10937` `associate-*r/_binary64_10932`
2×	`unpow1_binary64_11048` `rem-3cbrt-lft_binary64_11015` `times-frac_binary64_10996` `mul-1-neg_binary64_10982` `sub0-neg_binary64_10977` `--rgt-identity_binary64_10976` `associate-/r/_binary64_10936` `associate-/r*_binary64_10934` `associate-+l-_binary64_10925` `+-commutative_binary64_10920`
1×	`1-exp_binary64_11034`
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_11253` `erf-erfc_binary64_11252` `erf-odd_binary64_11251` `if-if-and-not_binary64_11250` `if-if-and_binary64_11249` `if-if-or-not_binary64_11248` `if-if-or_binary64_11247` `if-not_binary64_11246` `if-same_binary64_11245` `if-false_binary64_11244` `if-true_binary64_11243` `not-gte_binary64_11242` `not-lte_binary64_11241` `not-gt_binary64_11240` `not-lt_binary64_11239` `gte-same_binary64_11238` `lte-same_binary64_11237` `gt-same_binary64_11236` `lt-same_binary64_11235` `sinh---cosh_binary64_11182` `sinh-+-cosh_binary64_11181` `sinh-cosh_binary64_11180` `tanh-def-c_binary64_11179` `tanh-def-b_binary64_11178` `tanh-def-a_binary64_11177` `cosh-def_binary64_11176` `sinh-def_binary64_11175` `tan-neg_binary64_11122` `cos-neg_binary64_11121` `sin-neg_binary64_11120` `tan-0_binary64_11119` `cos-0_binary64_11118` `sin-0_binary64_11117` `hang-m-tan_binary64_11116` `hang-p-tan_binary64_11115` `hang-m0-tan_binary64_11114` `hang-p0-tan_binary64_11113` `hang-0m-tan_binary64_11112` `hang-0p-tan_binary64_11111` `tan-+PI/2_binary64_11110` `tan-+PI_binary64_11109` `tan-PI_binary64_11108` `tan-PI/3_binary64_11107` `tan-PI/4_binary64_11106` `tan-PI/6_binary64_11105` `cos-+PI/2_binary64_11104` `cos-+PI_binary64_11103` `cos-PI_binary64_11102` `cos-PI/2_binary64_11101` `cos-PI/3_binary64_11100` `cos-PI/4_binary64_11099` `cos-PI/6_binary64_11098` `sin-+PI/2_binary64_11097` `sin-+PI_binary64_11096` `sin-PI_binary64_11095` `sin-PI/2_binary64_11094` `sin-PI/3_binary64_11093` `sin-PI/4_binary64_11092` `sin-PI/6_binary64_11091` `sub-1-sin_binary64_11090` `sub-1-cos_binary64_11089` `-1-add-sin_binary64_11088` `-1-add-cos_binary64_11087` `1-sub-sin_binary64_11086` `1-sub-cos_binary64_11085` `cos-sin-sum_binary64_11084` `log-E_binary64_11080` `log-rec_binary64_11078` `log-div_binary64_11077` `pow-base-0_binary64_11074` `unpow1/2_binary64_11054` `exp-to-pow_binary64_11052` `pow-base-1_binary64_11050` `unpow0_binary64_11049` `unpow-1_binary64_11047` `exp-lft-cube_binary64_11046` `exp-lft-sqr_binary64_11045` `exp-cbrt_binary64_11044` `exp-sqrt_binary64_11043` `div-exp_binary64_11041` `rec-exp_binary64_11040` `prod-exp_binary64_11039` `exp-diff_binary64_11038` `exp-neg_binary64_11037` `exp-sum_binary64_11036` `e-exp-1_binary64_11035` `exp-1-e_binary64_11033` `exp-0_binary64_11032` `rem-log-exp_binary64_11031` `rem-exp-log_binary64_11030` `cube-div_binary64_11019` `cube-neg_binary64_11017` `rem-3cbrt-rft_binary64_11016` `rem-cbrt-cube_binary64_11014` `rem-cube-cbrt_binary64_11013` `sqr-abs_binary64_11005` `sqr-neg_binary64_11004` `rem-square-sqrt_binary64_11002` `div-sub_binary64_10995` `/-rgt-identity_binary64_10981` `remove-double-neg_binary64_10978` `+-rgt-identity_binary64_10975` `+-lft-identity_binary64_10974` `div0_binary64_10971` `-inverses_binary64_10970` `+-inverses_binary64_10969` `lft-mult-inverse_binary64_10968` `rgt-mult-inverse_binary64_10967` `remove-double-div_binary64_10966` `difference-of-sqr--1_binary64_10961` `difference-of-sqr-1_binary64_10960` `difference-of-squares_binary64_10959` `swap-sqr_binary64_10957` `cancel-sign-sub_binary64_10955` `distribute-neg-frac_binary64_10954` `distribute-frac-neg_binary64_10953` `distribute-neg-out_binary64_10952` `distribute-neg-in_binary64_10951` `distribute-rgt-out--_binary64_10944` `distribute-lft-out--_binary64_10942` `associate-l/_binary64_10933` `associate--r-_binary64_10929` `associate--l-_binary64_10928` `associate--l+_binary64_10927` `associate--r+_binary64_10926` `associate-+r-_binary64_10924`

Counts

56 → 20

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	38	340
1	61	324
2	151	324
3	385	324
4	1190	324
5	3448	324
6	4669	324
7	4967	324
8	4832	324

prune27.0ms (0.4%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	20	0	20
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	20	7	27

Error

0.0b

Counts

27 → 7

Compiler

Compiled 538 to 217 computations (59.7% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
2.9b	(log.f64 (/.f64 (cbrt.f64 x) y))

rewrite102.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

22×	`log-prod_binary64_11076`
20×	`add-cube-cbrt_binary64_11025` `add-sqr-sqrt_binary64_11012` `*-un-lft-identity_binary64_10990`
18×	`times-frac_binary64_10996` `cbrt-prod_binary64_11021`
7×	`add-exp-log_binary64_11028`
5×	`pow1_binary64_11051`
4×	`add-log-exp_binary64_11029` `add-cbrt-cube_binary64_11026`
3×	`pow1/3_binary64_11072`
2×	`rem-log-exp_binary64_11031`
1×	`log-pow_binary64_11079` `log-div_binary64_11077` `div-inv_binary64_10987` `div-exp_binary64_11041`

Counts

4 → 66

Calls

4 calls:

7.0ms	(log.f64 (/.f64 (cbrt.f64 x) y))
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

Compiler

Compiled 1726 to 635 computations (63.2% saved)

series807.0ms (11.1%)

Error

0.0b

Counts

4 → 15

Calls

4 calls:

449.0ms	(log.f64 (/.f64 (cbrt.f64 x) y))
123.0ms	(cbrt.f64 x)
112.0ms	(cbrt.f64 x)
103.0ms	(cbrt.f64 x)

Compiler

Compiled 1041 to 732 computations (29.7% saved)

simplify83.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

666×	`log-prod_binary64_11076`
388×	`associate-+l-_binary64_10925`
366×	`associate-+r+_binary64_10922`
331×	`associate-l_binary64_10931`
276×	`log-div_binary64_11077`
263×	`distribute-rgt-in_binary64_10940`
258×	`distribute-lft-in_binary64_10939`
255×	`associate-+r-_binary64_10924`
245×	`associate-r_binary64_10930`
232×	`sub-neg_binary64_10983`
164×	`times-frac_binary64_10996`
95×	`associate-/l_binary64_10935` `associate-/r_binary64_10934`
84×	`associate--l-_binary64_10928`
81×	`associate--r+_binary64_10926`
68×	`cancel-sign-sub-inv_binary64_10956`
47×	`associate--l+_binary64_10927`
41×	`associate-/l/_binary64_10937`
40×	`distribute-rgt-neg-in_binary64_10948` `*-commutative_binary64_10921`
38×	`distribute-lft-neg-in_binary64_10947`
37×	`associate--r-_binary64_10929`
35×	`associate-/r/_binary64_10936` `+-commutative_binary64_10920`
32×	`unswap-sqr_binary64_10958` `associate-+l+_binary64_10923`
30×	`log-rec_binary64_11078`
27×	`exp-sum_binary64_11036` `neg-mul-1_binary64_10986` `unsub-neg_binary64_10984`
26×	`neg-sub0_binary64_10985`
24×	`distribute-neg-in_binary64_10951`
22×	`log-pow_binary64_11079`
20×	`sqr-pow_binary64_10962`
18×	`exp-prod_binary64_11042` `distribute-lft-neg-out_binary64_10949`
17×	`distribute-rgt-neg-out_binary64_10950`
15×	`count-2_binary64_10938`
14×	`associate-*r/_binary64_10932`
11×	`exp-diff_binary64_11038`
10×	`distribute-rgt-out_binary64_10943`
9×	`/-rgt-identity_binary64_10981` `*-rgt-identity_binary64_10980` `+-rgt-identity_binary64_10975`
8×	`associate-*l/_binary64_10933`
7×	`swap-sqr_binary64_10957`
6×	`rem-exp-log_binary64_11030` `cube-prod_binary64_11018`
5×	`cube-unmult_binary64_11027` `distribute-neg-out_binary64_10952` `distribute-lft-out_binary64_10941`
4×	`rem-sqrt-square_binary64_11003` `pow-sqr_binary64_10963`
3×	`unpow1/3_binary64_11057`
2×	`exp-to-pow_binary64_11052` `*-lft-identity_binary64_10979` `distribute-rgt-out--_binary64_10944`
1×	`pow-plus_binary64_11053` `div-exp_binary64_11041` `prod-exp_binary64_11039` `1-exp_binary64_11034` `exp-1-e_binary64_11033` `rem-3cbrt-lft_binary64_11015` `sqr-neg_binary64_11004` `mul-1-neg_binary64_10982` `remove-double-neg_binary64_10978` `mul0-rgt_binary64_10973` `mul0-lft_binary64_10972` `distribute-rgt1-in_binary64_10946` `distribute-lft1-in_binary64_10945`
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_11253` `erf-erfc_binary64_11252` `erf-odd_binary64_11251` `if-if-and-not_binary64_11250` `if-if-and_binary64_11249` `if-if-or-not_binary64_11248` `if-if-or_binary64_11247` `if-not_binary64_11246` `if-same_binary64_11245` `if-false_binary64_11244` `if-true_binary64_11243` `not-gte_binary64_11242` `not-lte_binary64_11241` `not-gt_binary64_11240` `not-lt_binary64_11239` `gte-same_binary64_11238` `lte-same_binary64_11237` `gt-same_binary64_11236` `lt-same_binary64_11235` `sinh---cosh_binary64_11182` `sinh-+-cosh_binary64_11181` `sinh-cosh_binary64_11180` `tanh-def-c_binary64_11179` `tanh-def-b_binary64_11178` `tanh-def-a_binary64_11177` `cosh-def_binary64_11176` `sinh-def_binary64_11175` `tan-neg_binary64_11122` `cos-neg_binary64_11121` `sin-neg_binary64_11120` `tan-0_binary64_11119` `cos-0_binary64_11118` `sin-0_binary64_11117` `hang-m-tan_binary64_11116` `hang-p-tan_binary64_11115` `hang-m0-tan_binary64_11114` `hang-p0-tan_binary64_11113` `hang-0m-tan_binary64_11112` `hang-0p-tan_binary64_11111` `tan-+PI/2_binary64_11110` `tan-+PI_binary64_11109` `tan-PI_binary64_11108` `tan-PI/3_binary64_11107` `tan-PI/4_binary64_11106` `tan-PI/6_binary64_11105` `cos-+PI/2_binary64_11104` `cos-+PI_binary64_11103` `cos-PI_binary64_11102` `cos-PI/2_binary64_11101` `cos-PI/3_binary64_11100` `cos-PI/4_binary64_11099` `cos-PI/6_binary64_11098` `sin-+PI/2_binary64_11097` `sin-+PI_binary64_11096` `sin-PI_binary64_11095` `sin-PI/2_binary64_11094` `sin-PI/3_binary64_11093` `sin-PI/4_binary64_11092` `sin-PI/6_binary64_11091` `sub-1-sin_binary64_11090` `sub-1-cos_binary64_11089` `-1-add-sin_binary64_11088` `-1-add-cos_binary64_11087` `1-sub-sin_binary64_11086` `1-sub-cos_binary64_11085` `cos-sin-sum_binary64_11084` `log-E_binary64_11080` `pow-base-0_binary64_11074` `unpow3_binary64_11056` `unpow2_binary64_11055` `unpow1/2_binary64_11054` `pow-base-1_binary64_11050` `unpow0_binary64_11049` `unpow1_binary64_11048` `unpow-1_binary64_11047` `exp-lft-cube_binary64_11046` `exp-lft-sqr_binary64_11045` `exp-cbrt_binary64_11044` `exp-sqrt_binary64_11043` `rec-exp_binary64_11040` `exp-neg_binary64_11037` `e-exp-1_binary64_11035` `exp-0_binary64_11032` `rem-log-exp_binary64_11031` `cube-mult_binary64_11020` `cube-div_binary64_11019` `cube-neg_binary64_11017` `rem-3cbrt-rft_binary64_11016` `rem-cbrt-cube_binary64_11014` `rem-cube-cbrt_binary64_11013` `sqr-abs_binary64_11005` `rem-square-sqrt_binary64_11002` `div-sub_binary64_10995` `sub0-neg_binary64_10977` `--rgt-identity_binary64_10976` `+-lft-identity_binary64_10974` `div0_binary64_10971` `*-inverses_binary64_10970` `+-inverses_binary64_10969` `lft-mult-inverse_binary64_10968` `rgt-mult-inverse_binary64_10967` `remove-double-div_binary64_10966` `difference-of-sqr--1_binary64_10961` `difference-of-sqr-1_binary64_10960` `difference-of-squares_binary64_10959` `cancel-sign-sub_binary64_10955` `distribute-neg-frac_binary64_10954` `distribute-frac-neg_binary64_10953` `distribute-lft-out--_binary64_10942`

Counts

81 → 37

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	111	924
1	193	876
2	429	859
3	1249	857
4	4516	857
5	5159	857

prune47.0ms (0.6%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	36	1	37
Fresh	0	3	3
Picked	1	0	1
Done	0	3	3
Total	37	7	44

Error

0.0b

Counts

44 → 7

Compiler

Compiled 890 to 353 computations (60.3% saved)

regimes871.0ms (11.9%)

Accuracy

Total 0.2b remaining (97.7%)

Threshold costs 0.2b (97.7%)

Compiler

Compiled 6393 to 4518 computations (29.3% saved)

bsearch0.0ms (0%)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64_10921` `+-commutative_binary64_10920`
2×	`sub-neg_binary64_10983`
1×	`neg-mul-1_binary64_10986` `neg-sub0_binary64_10985`
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_11250` `if-if-and_binary64_11249` `if-if-or-not_binary64_11248` `if-if-or_binary64_11247` `if-not_binary64_11246` `if-same_binary64_11245` `if-false_binary64_11244` `if-true_binary64_11243` `tan-0_binary64_11119` `cos-0_binary64_11118` `sin-0_binary64_11117` `unpow1_binary64_11048` `e-exp-1_binary64_11035` `1-exp_binary64_11034` `exp-1-e_binary64_11033` `exp-0_binary64_11032` `sqr-abs_binary64_11005` `sqr-neg_binary64_11004` `unsub-neg_binary64_10984` `mul-1-neg_binary64_10982` `/-rgt-identity_binary64_10981` `-rgt-identity_binary64_10980` `-lft-identity_binary64_10979` `remove-double-neg_binary64_10978` `sub0-neg_binary64_10977` `--rgt-identity_binary64_10976` `+-rgt-identity_binary64_10975` `+-lft-identity_binary64_10974` `cancel-sign-sub-inv_binary64_10956` `cancel-sign-sub_binary64_10955` `distribute-neg-frac_binary64_10954` `distribute-frac-neg_binary64_10953` `distribute-neg-out_binary64_10952` `distribute-neg-in_binary64_10951` `distribute-rgt-neg-out_binary64_10950` `distribute-lft-neg-out_binary64_10949` `distribute-rgt-neg-in_binary64_10948` `distribute-lft-neg-in_binary64_10947`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	31
1	18	31
2	23	31
3	25	31
4	26	31
5	26	31

end0.0ms (0%)

sample1.8s (24.6%)

Algorithm

1×

intervals

Results

352.0ms	8000×	body	128	valid
23.0ms	728×	body	128	nan
1.0ms	21×	body	128	invalid

Compiler

Compiled 1305 to 921 computations (29.4% saved)

Details

analyze631.0ms (8.6%)

sample22.0ms (0.3%)

simplify271.0ms (3.7%)

prune2.0ms (0%)

localize7.0ms (0.1%)

rewrite135.0ms (1.8%)

series951.0ms (13%)

simplify134.0ms (1.8%)

prune82.0ms (1.1%)

localize12.0ms (0.2%)

rewrite59.0ms (0.8%)

series476.0ms (6.5%)

simplify100.0ms (1.4%)

prune28.0ms (0.4%)

localize13.0ms (0.2%)

rewrite60.0ms (0.8%)

series462.0ms (6.3%)

simplify100.0ms (1.4%)

prune27.0ms (0.4%)

localize15.0ms (0.2%)

rewrite102.0ms (1.4%)

series807.0ms (11.1%)

simplify83.0ms (1.1%)

prune47.0ms (0.6%)

regimes871.0ms (11.9%)

bsearch0.0ms (0%)

simplify4.0ms (0%)

end0.0ms (0%)

sample1.8s (24.6%)

Profiling