Details

analyze448.0ms (5.5%)

Algorithm

1×	search
2×	egg-herbie

Rules

100×	`associate-l_binary64_10931`
75×	`associate-r_binary64_10930`
58×	`distribute-rgt-in_binary64_10940` `distribute-lft-in_binary64_10939`
53×	`associate-/r*_binary64_10934`
32×	`*-commutative_binary64_10921`
12×	`associate-/l/_binary64_10937`
9×	`/-rgt-identity_binary64_10981`
8×	`*-lft-identity_binary64_10979`
6×	`*-rgt-identity_binary64_10980` `swap-sqr_binary64_10957`
3×	`+-commutative_binary64_10920`
1×	`1-exp_binary64_11034` `swap-x-y`
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` `log-rec_binary64_11078` `log-div_binary64_11077` `log-prod_binary64_11076` `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` `div-sub_binary64_10995` `neg-mul-1_binary64_10986` `neg-sub0_binary64_10985` `unsub-neg_binary64_10984` `sub-neg_binary64_10983` `mul-1-neg_binary64_10982` `remove-double-neg_binary64_10978` `sub0-neg_binary64_10977` `--rgt-identity_binary64_10976` `+-rgt-identity_binary64_10975` `+-lft-identity_binary64_10974` `mul0-rgt_binary64_10973` `mul0-lft_binary64_10972` `div0_binary64_10971` `-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` `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` `distribute-rgt1-in_binary64_10946` `distribute-lft1-in_binary64_10945` `distribute-rgt-out--_binary64_10944` `distribute-rgt-out_binary64_10943` `distribute-lft-out--_binary64_10942` `distribute-lft-out_binary64_10941` `count-2_binary64_10938` `associate-/r/_binary64_10936` `associate-/l_binary64_10935` `associate-l/_binary64_10933` `associate-r/_binary64_10932` `associate--r-_binary64_10929` `associate--l-_binary64_10928` `associate--l+_binary64_10927` `associate--r+_binary64_10926` `associate-+l-_binary64_10925` `associate-+r-_binary64_10924` `associate-+l+_binary64_10923` `associate-+r+_binary64_10922`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	64
1	69	64
2	114	64
3	237	64
4	277	64
5	274	64
6	263	64
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%	99.9%	0.1%	5
25%	74.9%	0.1%	6
25%	74.9%	0.1%	7
43.7%	56.2%	0.1%	8
62.4%	37.4%	0.1%	9
65.5%	34.3%	0.1%	10
71.8%	27.7%	0.5%	11
79.2%	19.7%	1.1%	12
80.2%	18.7%	1.1%	13
82.8%	15%	2.2%	14

Symmetry

(sort x y)

Compiler

Compiled 12 to 11 computations (8.3% saved)

sample26.0ms (0.3%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	128	valid
1.0ms	18×	body	128	invalid

Compiler

Compiled 23 to 24 computations (-4.3% saved)

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

37×	`associate-l_binary64_10931`
36×	`associate-r_binary64_10930`
20×	`*-commutative_binary64_10921`
19×	`distribute-rgt-in_binary64_10940` `distribute-lft-in_binary64_10939`
18×	`associate-/r*_binary64_10934`
6×	`*-lft-identity_binary64_10979`
4×	`*-rgt-identity_binary64_10980`
3×	`/-rgt-identity_binary64_10981` `associate-/l/_binary64_10937`
1×	`1-exp_binary64_11034` `+-commutative_binary64_10920`
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` `log-rec_binary64_11078` `log-div_binary64_11077` `log-prod_binary64_11076` `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` `div-sub_binary64_10995` `neg-mul-1_binary64_10986` `neg-sub0_binary64_10985` `unsub-neg_binary64_10984` `sub-neg_binary64_10983` `mul-1-neg_binary64_10982` `remove-double-neg_binary64_10978` `sub0-neg_binary64_10977` `--rgt-identity_binary64_10976` `+-rgt-identity_binary64_10975` `+-lft-identity_binary64_10974` `mul0-rgt_binary64_10973` `mul0-lft_binary64_10972` `div0_binary64_10971` `-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` `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` `distribute-rgt1-in_binary64_10946` `distribute-lft1-in_binary64_10945` `distribute-rgt-out--_binary64_10944` `distribute-rgt-out_binary64_10943` `distribute-lft-out--_binary64_10942` `distribute-lft-out_binary64_10941` `count-2_binary64_10938` `associate-/r/_binary64_10936` `associate-/l_binary64_10935` `associate-l/_binary64_10933` `associate-r/_binary64_10932` `associate--r-_binary64_10929` `associate--l-_binary64_10928` `associate--l+_binary64_10927` `associate--r+_binary64_10926` `associate-+l-_binary64_10925` `associate-+r-_binary64_10924` `associate-+l+_binary64_10923` `associate-+r+_binary64_10922`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	16
1	24	16
2	38	16
3	87	16
4	108	16
5	118	16
6	111	16

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

7.7b

Counts

1 → 1

Compiler

Compiled 11 to 10 computations (9.1% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

4.4b	(/.f64 (/.f64 1 x) (.f64 y (+.f64 1 (.f64 z z))))
5.0b	(.f64 y (+.f64 1 (.f64 z z)))

rewrite125.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

6.3b

Rules

31×	`times-frac_binary64_10996`
26×	`add-exp-log_binary64_11028`
20×	`add-sqr-sqrt_binary64_11012`
18×	`add-cube-cbrt_binary64_11025` `*-un-lft-identity_binary64_10990`
16×	`add-cbrt-cube_binary64_11026`
13×	`associate-/l*_binary64_10935`
12×	`div-exp_binary64_11041`
6×	`cbrt-undiv_binary64_11024`
5×	`prod-exp_binary64_11039`
4×	`pow1_binary64_11051` `associate-*r/_binary64_10932`
3×	`cbrt-unprod_binary64_11023` `associate-l_binary64_10931` `associate-r_binary64_10930` `div-inv_binary64_10987`
2×	`add-log-exp_binary64_11029` `flip3-+_binary64_10993` `flip-+_binary64_10964` `1-exp_binary64_11034` `rec-exp_binary64_11040` `associate-/r/_binary64_10936`
1×	`pow-prod-down_binary64_11061` `unswap-sqr_binary64_10958` `distribute-rgt-in_binary64_10940` `distribute-lft-in_binary64_10939` `-commutative_binary64_10921` `frac-2neg_binary64_11001` `clear-num_binary64_10989` `associate-/l/_binary64_10937` `associate-/r_binary64_10934`

Counts

2 → 74

Calls

2 calls:

8.0ms	(/.f64 (/.f64 1 x) (.f64 y (+.f64 1 (.f64 z z))))
6.0ms	(.f64 y (+.f64 1 (.f64 z z)))

Compiler

Compiled 1418 to 830 computations (41.5% saved)

series412.0ms (5.1%)

Error

6.4b

Counts

2 → 21

Calls

2 calls:

283.0ms	(/.f64 (/.f64 1 x) (.f64 y (+.f64 1 (.f64 z z))))
110.0ms	(.f64 y (+.f64 1 (.f64 z z)))

Compiler

Compiled 652 to 530 computations (18.7% saved)

simplify102.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

547×	`associate-/l*_binary64_10935`
481×	`associate-/r*_binary64_10934`
423×	`associate-/l/_binary64_10937`
400×	`associate-r_binary64_10930`
254×	`distribute-rgt-in_binary64_10940`
237×	`distribute-lft-in_binary64_10939`
206×	`associate-*l/_binary64_10933`
204×	`div-sub_binary64_10995`
199×	`cancel-sign-sub-inv_binary64_10956`
166×	`associate-/r/_binary64_10936`
143×	`associate-*r/_binary64_10932`
127×	`sub-neg_binary64_10983`
125×	`distribute-neg-frac_binary64_10954`
102×	`unswap-sqr_binary64_10958`
98×	`*-lft-identity_binary64_10979`
96×	`associate-l_binary64_10931`
67×	`log-div_binary64_11077`
63×	`times-frac_binary64_10996`
62×	`*-rgt-identity_binary64_10980`
60×	`exp-prod_binary64_11042` `cube-div_binary64_11019`
59×	`cube-prod_binary64_11018`
56×	`*-commutative_binary64_10921`
53×	`/-rgt-identity_binary64_10981` `sqr-pow_binary64_10962`
42×	`log-prod_binary64_11076`
41×	`neg-mul-1_binary64_10986`
39×	`neg-sub0_binary64_10985`
29×	`distribute-rgt-neg-in_binary64_10948`
27×	`associate-+l-_binary64_10925`
26×	`distribute-lft-neg-in_binary64_10947`
23×	`exp-sum_binary64_11036` `swap-sqr_binary64_10957` `associate--l+_binary64_10927`
20×	`associate-+r-_binary64_10924`
18×	`associate--r+_binary64_10926` `+-commutative_binary64_10920`
17×	`remove-double-div_binary64_10966`
15×	`log-rec_binary64_11078` `unpow3_binary64_11056` `unsub-neg_binary64_10984`
12×	`cube-mult_binary64_11020` `sub0-neg_binary64_10977`
11×	`distribute-neg-in_binary64_10951`
9×	`cube-unmult_binary64_11027` `+-rgt-identity_binary64_10975` `associate--l-_binary64_10928`
7×	`pow-plus_binary64_11053`
6×	`distribute-rgt-out--_binary64_10944`
5×	`unpow1/2_binary64_11054` `pow-sqr_binary64_10963` `associate-+r+_binary64_10922`
4×	`distribute-lft-neg-out_binary64_10949`
3×	`rem-sqrt-square_binary64_11003` `difference-of-sqr-1_binary64_10960`
2×	`exp-diff_binary64_11038` `+-lft-identity_binary64_10974` `cancel-sign-sub_binary64_10955` `distribute-rgt-neg-out_binary64_10950` `associate-+l+_binary64_10923`
1×	`unpow2_binary64_11055` `unpow1_binary64_11048` `1-exp_binary64_11034` `exp-1-e_binary64_11033` `remove-double-neg_binary64_10978` `--rgt-identity_binary64_10976` `div0_binary64_10971` `distribute-rgt1-in_binary64_10946` `distribute-lft1-in_binary64_10945` `distribute-rgt-out_binary64_10943` `count-2_binary64_10938` `associate--r-_binary64_10929`
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` `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-neg_binary64_11037` `e-exp-1_binary64_11035` `exp-0_binary64_11032` `rem-log-exp_binary64_11031` `rem-exp-log_binary64_11030` `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-square-sqrt_binary64_11002` `mul-1-neg_binary64_10982` `mul0-rgt_binary64_10973` `mul0-lft_binary64_10972` `*-inverses_binary64_10970` `+-inverses_binary64_10969` `lft-mult-inverse_binary64_10968` `rgt-mult-inverse_binary64_10967` `difference-of-sqr--1_binary64_10961` `difference-of-squares_binary64_10959` `distribute-frac-neg_binary64_10953` `distribute-neg-out_binary64_10952` `distribute-lft-out--_binary64_10942` `distribute-lft-out_binary64_10941`

Counts

95 → 89

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	159	1796
1	375	1550
2	1242	1542
3	4019	1542
4	4546	1542
5	4975	1542

prune102.0ms (1.2%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	80	9	89
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	81	9	90

Error

6.3b

Counts

90 → 9

Compiler

Compiled 1509 to 880 computations (41.7% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 (.f64 y (sqrt.f64 (+.f64 (.f64 z z) 1))) (sqrt.f64 (+.f64 1 (.f64 z z))))
4.4b	(/.f64 (/.f64 1 x) (.f64 (.f64 y (sqrt.f64 (+.f64 (.f64 z z) 1))) (sqrt.f64 (+.f64 1 (.f64 z z)))))
18.7b	(sqrt.f64 (+.f64 (*.f64 z z) 1))
18.7b	(sqrt.f64 (+.f64 1 (*.f64 z z)))

rewrite252.0ms (3.1%)

Algorithm

1×	rewrite-expression-head

Error

6.3b

Rules

48×	`add-exp-log_binary64_11028`
31×	`times-frac_binary64_10996`
30×	`add-cbrt-cube_binary64_11026`
28×	`sqrt-div_binary64_11007`
24×	`add-sqr-sqrt_binary64_11012`
22×	`add-cube-cbrt_binary64_11025` `*-un-lft-identity_binary64_10990`
18×	`div-exp_binary64_11041`
16×	`associate-*r/_binary64_10932`
15×	`prod-exp_binary64_11039`
14×	`flip3-+_binary64_10993` `flip-+_binary64_10964`
13×	`associate-/l*_binary64_10935`
11×	`pow1_binary64_11051`
9×	`sqrt-prod_binary64_11006` `cbrt-undiv_binary64_11024` `cbrt-unprod_binary64_11023`
8×	`frac-times_binary64_11000` `associate-/r/_binary64_10936`
6×	`associate-r_binary64_10930`
4×	`add-log-exp_binary64_11029` `associate-*l/_binary64_10933`
3×	`1-exp_binary64_11034` `rec-exp_binary64_11040` `div-inv_binary64_10987` `pow-prod-down_binary64_11061`
2×	`pow1/2_binary64_11070` `sqrt-pow1_binary64_11008` `rem-sqrt-square_binary64_11003`
1×	`frac-2neg_binary64_11001` `clear-num_binary64_10989` `associate-/l/_binary64_10937` `associate-/r_binary64_10934` `associate-l_binary64_10931` `-commutative_binary64_10921`

Counts

4 → 123

Calls

4 calls:

16.0ms	(/.f64 (/.f64 1 x) (.f64 (.f64 y (sqrt.f64 (+.f64 (.f64 z z) 1))) (sqrt.f64 (+.f64 1 (.f64 z z)))))
12.0ms	(.f64 (.f64 y (sqrt.f64 (+.f64 (.f64 z z) 1))) (sqrt.f64 (+.f64 1 (.f64 z z))))
4.0ms	(sqrt.f64 (+.f64 (*.f64 z z) 1))
3.0ms	(sqrt.f64 (+.f64 1 (*.f64 z z)))

Compiler

Compiled 3844 to 2283 computations (40.6% saved)

series564.0ms (6.9%)

Error

6.3b

Counts

4 → 39

Calls

4 calls:

268.0ms	(/.f64 (/.f64 1 x) (.f64 (.f64 y (sqrt.f64 (+.f64 (.f64 z z) 1))) (sqrt.f64 (+.f64 1 (.f64 z z)))))
115.0ms	(.f64 (.f64 y (sqrt.f64 (+.f64 (.f64 z z) 1))) (sqrt.f64 (+.f64 1 (.f64 z z))))
71.0ms	(sqrt.f64 (+.f64 (*.f64 z z) 1))
71.0ms	(sqrt.f64 (+.f64 1 (*.f64 z z)))

Compiler

Compiled 1608 to 1291 computations (19.7% saved)

simplify123.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

393×	`associate-*l/_binary64_10933`
335×	`distribute-rgt-in_binary64_10940`
322×	`distribute-lft-in_binary64_10939`
294×	`associate-*r/_binary64_10932`
258×	`associate-/r/_binary64_10936`
207×	`associate-l_binary64_10931`
205×	`associate-/r*_binary64_10934`
159×	`cancel-sign-sub-inv_binary64_10956`
144×	`associate-/l*_binary64_10935`
121×	`associate-r_binary64_10930`
109×	`times-frac_binary64_10996`
103×	`*-commutative_binary64_10921`
82×	`log-prod_binary64_11076` `associate-/l/_binary64_10937`
81×	`log-div_binary64_11077`
80×	`sub-neg_binary64_10983`
75×	`cube-prod_binary64_11018`
67×	`cube-div_binary64_11019`
63×	`distribute-rgt-neg-in_binary64_10948`
62×	`associate-+l+_binary64_10923`
54×	`distribute-lft-neg-in_binary64_10947`
48×	`exp-prod_binary64_11042`
41×	`associate-+l-_binary64_10925`
37×	`+-commutative_binary64_10920`
32×	`associate-+r-_binary64_10924`
31×	`distribute-neg-frac_binary64_10954` `associate--l+_binary64_10927`
29×	`associate--r+_binary64_10926`
27×	`neg-mul-1_binary64_10986` `neg-sub0_binary64_10985` `sqr-pow_binary64_10962`
24×	`*-rgt-identity_binary64_10980`
23×	`/-rgt-identity_binary64_10981`
22×	`*-lft-identity_binary64_10979` `unswap-sqr_binary64_10958`
19×	`distribute-neg-in_binary64_10951` `distribute-rgt-out--_binary64_10944`
17×	`unpow3_binary64_11056`
15×	`cube-mult_binary64_11020`
14×	`unsub-neg_binary64_10984` `swap-sqr_binary64_10957` `associate--l-_binary64_10928`
12×	`log-rec_binary64_11078`
11×	`cube-unmult_binary64_11027` `distribute-rgt-out_binary64_10943`
8×	`distribute-rgt1-in_binary64_10946`
7×	`associate-+r+_binary64_10922`
6×	`exp-sum_binary64_11036`
4×	`pow-plus_binary64_11053` `rem-sqrt-square_binary64_11003` `rem-square-sqrt_binary64_11002` `difference-of-squares_binary64_10959`
3×	`sub0-neg_binary64_10977` `distribute-lft-neg-out_binary64_10949`
2×	`unpow1/2_binary64_11054` `+-rgt-identity_binary64_10975` `pow-sqr_binary64_10963` `difference-of-sqr-1_binary64_10960` `distribute-lft1-in_binary64_10945` `distribute-lft-out--_binary64_10942` `count-2_binary64_10938`
1×	`unpow2_binary64_11055` `unpow1_binary64_11048` `1-exp_binary64_11034` `exp-1-e_binary64_11033` `div-sub_binary64_10995` `mul-1-neg_binary64_10982` `+-lft-identity_binary64_10974` `difference-of-sqr--1_binary64_10961` `distribute-rgt-neg-out_binary64_10950` `associate--r-_binary64_10929`
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` `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` `e-exp-1_binary64_11035` `exp-0_binary64_11032` `rem-log-exp_binary64_11031` `rem-exp-log_binary64_11030` `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` `remove-double-neg_binary64_10978` `--rgt-identity_binary64_10976` `mul0-rgt_binary64_10973` `mul0-lft_binary64_10972` `div0_binary64_10971` `*-inverses_binary64_10970` `+-inverses_binary64_10969` `lft-mult-inverse_binary64_10968` `rgt-mult-inverse_binary64_10967` `remove-double-div_binary64_10966` `cancel-sign-sub_binary64_10955` `distribute-frac-neg_binary64_10953` `distribute-neg-out_binary64_10952` `distribute-lft-out_binary64_10941`

Counts

162 → 138

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	240	3258
1	577	2879
2	1899	2854
3	4716	2854
4	4957	2854

prune159.0ms (2%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	138	0	138
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	138	9	147

Error

6.3b

Counts

147 → 9

Compiler

Compiled 2918 to 1506 computations (48.4% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.7b	(/.f64 1 (+.f64 x (.f64 (.f64 z z) x)))
3.9b	(.f64 (/.f64 1 y) (/.f64 1 (+.f64 x (.f64 (*.f64 z z) x))))
10.3b	(.f64 (.f64 z z) x)

rewrite195.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Error

2.7b

Rules

55×	`add-sqr-sqrt_binary64_11012`
52×	`add-exp-log_binary64_11028`
51×	`times-frac_binary64_10996`
43×	`*-un-lft-identity_binary64_10990`
30×	`add-cube-cbrt_binary64_11025`
24×	`associate-r_binary64_10930`
22×	`add-cbrt-cube_binary64_11026`
19×	`prod-exp_binary64_11039`
18×	`div-exp_binary64_11041`
14×	`associate-l_binary64_10931`
13×	`pow1_binary64_11051`
10×	`unswap-sqr_binary64_10958`
9×	`1-exp_binary64_11034` `rec-exp_binary64_11040`
7×	`cbrt-unprod_binary64_11023` `distribute-rgt1-in_binary64_10946` `distribute-rgt-out_binary64_10943`
6×	`pow-prod-down_binary64_11061`
5×	`cbrt-undiv_binary64_11024` `associate-/r*_binary64_10934`
4×	`associate-/r/_binary64_10936`
3×	`add-log-exp_binary64_11029` `inv-pow_binary64_11075` `pow-flip_binary64_11064` `div-inv_binary64_10987` `associate-/l*_binary64_10935`
2×	`*-commutative_binary64_10921` `flip3-+_binary64_10993` `flip-+_binary64_10964`
1×	`frac-times_binary64_11000` `un-div-inv_binary64_10988` `associate-l/_binary64_10933` `associate-r/_binary64_10932` `frac-2neg_binary64_11001` `clear-num_binary64_10989`

Counts

3 → 138

Calls

3 calls:

16.0ms	(.f64 (/.f64 1 y) (/.f64 1 (+.f64 x (.f64 (*.f64 z z) x))))
6.0ms	(.f64 (.f64 z z) x)
5.0ms	(/.f64 1 (+.f64 x (.f64 (.f64 z z) x)))

Compiler

Compiled 2995 to 1321 computations (55.9% saved)

series502.0ms (6.1%)

Error

6.3b

Counts

3 → 26

Calls

3 calls:

251.0ms	(.f64 (/.f64 1 y) (/.f64 1 (+.f64 x (.f64 (*.f64 z z) x))))
136.0ms	(/.f64 1 (+.f64 x (.f64 (.f64 z z) x)))
92.0ms	(.f64 (.f64 z z) x)

Compiler

Compiled 944 to 775 computations (17.9% saved)

simplify147.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

522×	`associate-/l*_binary64_10935`
403×	`associate-*l/_binary64_10933`
361×	`associate-/r*_binary64_10934`
296×	`*-commutative_binary64_10921`
288×	`associate-/l/_binary64_10937`
284×	`associate-*r/_binary64_10932`
249×	`cancel-sign-sub-inv_binary64_10956`
225×	`unswap-sqr_binary64_10958`
161×	`associate-l_binary64_10931`
142×	`associate-/r/_binary64_10936`
141×	`associate-r_binary64_10930`
135×	`sub-neg_binary64_10983`
121×	`div-sub_binary64_10995`
87×	`distribute-rgt-in_binary64_10940`
86×	`neg-mul-1_binary64_10986`
85×	`sqr-pow_binary64_10962`
82×	`distribute-lft-in_binary64_10939`
69×	`*-lft-identity_binary64_10979`
62×	`log-prod_binary64_11076`
61×	`*-rgt-identity_binary64_10980`
58×	`distribute-rgt-neg-in_binary64_10948`
57×	`cube-prod_binary64_11018`
55×	`times-frac_binary64_10996`
54×	`log-div_binary64_11077`
48×	`distribute-lft-neg-in_binary64_10947`
46×	`exp-prod_binary64_11042` `cube-div_binary64_11019` `associate-+r-_binary64_10924`
43×	`neg-sub0_binary64_10985`
42×	`/-rgt-identity_binary64_10981`
40×	`swap-sqr_binary64_10957` `associate-+l-_binary64_10925` `associate-+r+_binary64_10922`
39×	`+-commutative_binary64_10920`
27×	`distribute-rgt-out_binary64_10943`
24×	`remove-double-div_binary64_10966`
23×	`associate--r+_binary64_10926`
21×	`associate-+l+_binary64_10923`
20×	`associate--l+_binary64_10927`
17×	`unsub-neg_binary64_10984`
15×	`unpow3_binary64_11056` `+-rgt-identity_binary64_10975` `distribute-neg-frac_binary64_10954` `distribute-rgt-out--_binary64_10944`
14×	`log-rec_binary64_11078`
13×	`sub0-neg_binary64_10977` `distribute-lft-out_binary64_10941` `associate--r-_binary64_10929`
12×	`pow-sqr_binary64_10963`
11×	`cube-mult_binary64_11020` `distribute-neg-in_binary64_10951`
8×	`unpow1/2_binary64_11054` `rem-sqrt-square_binary64_11003`
7×	`cube-unmult_binary64_11027`
6×	`distribute-rgt1-in_binary64_10946`
5×	`pow-plus_binary64_11053`
4×	`distribute-lft-neg-out_binary64_10949` `associate--l-_binary64_10928`
3×	`log-pow_binary64_11079` `exp-sum_binary64_11036` `distribute-lft1-in_binary64_10945`
2×	`--rgt-identity_binary64_10976` `+-lft-identity_binary64_10974` `difference-of-squares_binary64_10959` `distribute-neg-out_binary64_10952` `count-2_binary64_10938`
1×	`unpow2_binary64_11055` `unpow1_binary64_11048` `1-exp_binary64_11034` `exp-1-e_binary64_11033` `remove-double-neg_binary64_10978` `div0_binary64_10971` `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` `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` `e-exp-1_binary64_11035` `exp-0_binary64_11032` `rem-log-exp_binary64_11031` `rem-exp-log_binary64_11030` `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-square-sqrt_binary64_11002` `mul-1-neg_binary64_10982` `mul0-rgt_binary64_10973` `mul0-lft_binary64_10972` `*-inverses_binary64_10970` `+-inverses_binary64_10969` `lft-mult-inverse_binary64_10968` `rgt-mult-inverse_binary64_10967` `difference-of-sqr--1_binary64_10961` `difference-of-sqr-1_binary64_10960` `cancel-sign-sub_binary64_10955` `distribute-frac-neg_binary64_10953` `distribute-rgt-neg-out_binary64_10950`

Counts

164 → 146

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	205	3113
1	485	2787
2	1450	2779
3	3996	2779
4	4778	2779
5	4956	2779

prune145.0ms (1.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	142	4	146
Fresh	5	2	7
Picked	1	0	1
Done	0	1	1
Total	148	7	155

Error

2.7b

Counts

155 → 7

Compiler

Compiled 2686 to 1020 computations (62% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.1b	(.f64 z (.f64 x z))
0.7b	(/.f64 1 (+.f64 x (.f64 z (.f64 x z))))
3.9b	(.f64 (/.f64 1 y) (/.f64 1 (+.f64 x (.f64 z (*.f64 x z)))))

rewrite166.0ms (2%)

Algorithm

1×	rewrite-expression-head

Error

2.7b

Rules

52×	`add-exp-log_binary64_11028`
50×	`add-sqr-sqrt_binary64_11012`
39×	`times-frac_binary64_10996`
32×	`*-un-lft-identity_binary64_10990`
26×	`add-cube-cbrt_binary64_11025`
22×	`add-cbrt-cube_binary64_11026`
19×	`prod-exp_binary64_11039`
18×	`div-exp_binary64_11041`
16×	`associate-l_binary64_10931` `associate-r_binary64_10930`
13×	`pow1_binary64_11051`
9×	`1-exp_binary64_11034` `rec-exp_binary64_11040` `unswap-sqr_binary64_10958`
7×	`cbrt-unprod_binary64_11023`
6×	`pow-prod-down_binary64_11061`
5×	`cbrt-undiv_binary64_11024`
4×	`associate-/r/_binary64_10936`
3×	`inv-pow_binary64_11075` `pow-flip_binary64_11064` `add-log-exp_binary64_11029` `div-inv_binary64_10987` `associate-/l_binary64_10935` `associate-/r_binary64_10934`
2×	`flip3-+_binary64_10993` `flip-+_binary64_10964` `*-commutative_binary64_10921`
1×	`frac-times_binary64_11000` `un-div-inv_binary64_10988` `associate-l/_binary64_10933` `associate-r/_binary64_10932` `frac-2neg_binary64_11001` `clear-num_binary64_10989`

Counts

3 → 123

Calls

3 calls:

14.0ms	(.f64 (/.f64 1 y) (/.f64 1 (+.f64 x (.f64 z (*.f64 x z)))))
5.0ms	(.f64 z (.f64 x z))
5.0ms	(/.f64 1 (+.f64 x (.f64 z (.f64 x z))))

Compiler

Compiled 2744 to 1149 computations (58.1% saved)

series502.0ms (6.2%)

Error

2.7b

Counts

3 → 26

Calls

3 calls:

269.0ms	(.f64 (/.f64 1 y) (/.f64 1 (+.f64 x (.f64 z (*.f64 x z)))))
133.0ms	(/.f64 1 (+.f64 x (.f64 z (.f64 x z))))
79.0ms	(.f64 z (.f64 x z))

Compiler

Compiled 944 to 775 computations (17.9% saved)

simplify134.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

452×	`times-frac_binary64_10996`
296×	`associate-/l*_binary64_10935`
284×	`distribute-rgt-in_binary64_10940`
250×	`distribute-lft-in_binary64_10939`
237×	`associate-/r*_binary64_10934`
234×	`associate-*l/_binary64_10933`
229×	`*-commutative_binary64_10921`
182×	`associate-*r/_binary64_10932`
178×	`unswap-sqr_binary64_10958`
162×	`cancel-sign-sub-inv_binary64_10956` `associate-/l/_binary64_10937`
138×	`associate-l_binary64_10931`
129×	`associate-r_binary64_10930`
122×	`div-sub_binary64_10995`
118×	`sub-neg_binary64_10983`
100×	`distribute-rgt-neg-in_binary64_10948`
99×	`distribute-rgt-out_binary64_10943`
92×	`distribute-lft-neg-in_binary64_10947`
76×	`associate-/r/_binary64_10936`
68×	`sqr-pow_binary64_10962`
64×	`log-div_binary64_11077`
56×	`cube-div_binary64_11019`
55×	`log-prod_binary64_11076` `cube-prod_binary64_11018` `distribute-neg-frac_binary64_10954`
43×	`/-rgt-identity_binary64_10981` `associate-+r-_binary64_10924`
39×	`+-commutative_binary64_10920`
37×	`neg-mul-1_binary64_10986` `associate-+l-_binary64_10925` `associate-+r+_binary64_10922`
36×	`neg-sub0_binary64_10985`
34×	`exp-prod_binary64_11042`
33×	`*-lft-identity_binary64_10979`
31×	`distribute-neg-in_binary64_10951`
25×	`*-rgt-identity_binary64_10980`
24×	`swap-sqr_binary64_10957`
21×	`unpow3_binary64_11056`
20×	`remove-double-div_binary64_10966` `distribute-rgt-out--_binary64_10944`
18×	`distribute-lft-out_binary64_10941` `associate-+l+_binary64_10923`
17×	`associate--r+_binary64_10926`
16×	`cube-mult_binary64_11020` `associate--l+_binary64_10927`
15×	`+-rgt-identity_binary64_10975`
13×	`sub0-neg_binary64_10977`
12×	`log-rec_binary64_11078` `unsub-neg_binary64_10984` `distribute-rgt1-in_binary64_10946`
11×	`associate--r-_binary64_10929`
9×	`pow-sqr_binary64_10963`
6×	`cube-unmult_binary64_11027` `distribute-lft-neg-out_binary64_10949`
5×	`rem-sqrt-square_binary64_11003`
4×	`log-pow_binary64_11079` `unpow1/2_binary64_11054` `distribute-lft1-in_binary64_10945`
3×	`exp-sum_binary64_11036` `cancel-sign-sub_binary64_10955` `associate--l-_binary64_10928`
2×	`pow-plus_binary64_11053` `+-lft-identity_binary64_10974` `difference-of-squares_binary64_10959` `distribute-neg-out_binary64_10952` `distribute-rgt-neg-out_binary64_10950` `count-2_binary64_10938`
1×	`unpow2_binary64_11055` `unpow1_binary64_11048` `1-exp_binary64_11034` `exp-1-e_binary64_11033` `remove-double-neg_binary64_10978` `--rgt-identity_binary64_10976` `div0_binary64_10971`
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` `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` `e-exp-1_binary64_11035` `exp-0_binary64_11032` `rem-log-exp_binary64_11031` `rem-exp-log_binary64_11030` `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-square-sqrt_binary64_11002` `mul-1-neg_binary64_10982` `mul0-rgt_binary64_10973` `mul0-lft_binary64_10972` `*-inverses_binary64_10970` `+-inverses_binary64_10969` `lft-mult-inverse_binary64_10968` `rgt-mult-inverse_binary64_10967` `difference-of-sqr--1_binary64_10961` `difference-of-sqr-1_binary64_10960` `distribute-frac-neg_binary64_10953` `distribute-lft-out--_binary64_10942`

Counts

149 → 138

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	191	2915
1	461	2618
2	1134	2587
3	3054	2570
4	4727	2570
5	4965	2570

prune126.0ms (1.5%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	136	2	138
Fresh	2	3	5
Picked	0	1	1
Done	0	1	1
Total	138	7	145

Error

2.7b

Counts

145 → 7

Compiler

Compiled 2468 to 868 computations (64.8% saved)

regimes1.6s (19.8%)

Accuracy

Total 0.6b remaining (20.5%)

Threshold costs 0.6b (20.5%)

Compiler

Compiled 16035 to 13050 computations (18.6% saved)

bsearch4.0ms (0%)

Compiler: Compiled 3 to 5 computations (-66.7% saved)

simplify13.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

4×	`*-commutative_binary64_10921`
2×	`+-commutative_binary64_10920`
1×	`if-if-or-not_binary64_11248` `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` `if-if-and-not_binary64_11250` `if-if-and_binary64_11249` `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` `exp-1-e_binary64_11033` `exp-0_binary64_11032` `sqr-abs_binary64_11005` `sqr-neg_binary64_11004` `neg-mul-1_binary64_10986` `neg-sub0_binary64_10985` `unsub-neg_binary64_10984` `sub-neg_binary64_10983` `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	24	65
1	35	65
2	34	65

Compiler

Compiled 86 to 64 computations (25.6% saved)

end0.0ms (0%)

sample2.2s (27.5%)

Algorithm

1×

intervals

Results

283.0ms	8000×	body	128	valid
16.0ms	452×	body	128	invalid

Compiler

Compiled 1714 to 1385 computations (19.2% saved)

Details

analyze448.0ms (5.5%)

sample26.0ms (0.3%)

simplify10.0ms (0.1%)

prune2.0ms (0%)

localize8.0ms (0.1%)

rewrite125.0ms (1.5%)

series412.0ms (5.1%)

simplify102.0ms (1.2%)

prune102.0ms (1.2%)

localize12.0ms (0.1%)

rewrite252.0ms (3.1%)

series564.0ms (6.9%)

simplify123.0ms (1.5%)

prune159.0ms (2%)

localize8.0ms (0.1%)

rewrite195.0ms (2.4%)

series502.0ms (6.1%)

simplify147.0ms (1.8%)

prune145.0ms (1.8%)

localize9.0ms (0.1%)

rewrite166.0ms (2%)

series502.0ms (6.2%)

simplify134.0ms (1.6%)

prune126.0ms (1.5%)

regimes1.6s (19.8%)

bsearch4.0ms (0%)

simplify13.0ms (0.2%)

end0.0ms (0%)

sample2.2s (27.5%)

Profiling