Details

analyze636.0ms (6.7%)

Algorithm

1×	search
2×	egg-herbie

Rules

801×	`cube-prod_binary64_788`
678×	`unswap-sqr_binary64_728`
585×	`unpow3_binary64_826`
360×	`sqr-pow_binary64_732`
358×	`distribute-rgt-in_binary64_710`
340×	`associate-/l*_binary64_705`
280×	`distribute-lft-in_binary64_709`
264×	`div-sub_binary64_765`
185×	`*-commutative_binary64_691`
179×	`associate-/r*_binary64_704`
168×	`pow-sqr_binary64_733` `associate-l_binary64_701`
167×	`associate-r_binary64_700`
150×	`cube-mult_binary64_790`
144×	`cube-div_binary64_789`
77×	`associate-/l/_binary64_707`
73×	`associate-*l/_binary64_703`
66×	`sub-neg_binary64_753`
60×	`mul0-rgt_binary64_743`
59×	`associate-*r/_binary64_702`
56×	`mul0-lft_binary64_742`
54×	`swap-sqr_binary64_727`
49×	`associate-/r/_binary64_706`
36×	`times-frac_binary64_766`
28×	`+-commutative_binary64_690`
25×	`*-rgt-identity_binary64_750`
21×	`*-lft-identity_binary64_749` `div0_binary64_741`
15×	`/-rgt-identity_binary64_751`
12×	`cube-unmult_binary64_797`
9×	`*-inverses_binary64_740`
7×	`--rgt-identity_binary64_746` `remove-double-div_binary64_736`
4×	`cancel-sign-sub-inv_binary64_726` `associate--l-_binary64_698`
3×	`neg-mul-1_binary64_756` `neg-sub0_binary64_755` `sub0-neg_binary64_747` `+-rgt-identity_binary64_745` `lft-mult-inverse_binary64_738` `rgt-mult-inverse_binary64_737` `associate--r+_binary64_696` `associate-+l-_binary64_695`
1×	`1-exp_binary64_804`
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_1023` `erf-erfc_binary64_1022` `erf-odd_binary64_1021` `if-if-and-not_binary64_1020` `if-if-and_binary64_1019` `if-if-or-not_binary64_1018` `if-if-or_binary64_1017` `if-not_binary64_1016` `if-same_binary64_1015` `if-false_binary64_1014` `if-true_binary64_1013` `not-gte_binary64_1012` `not-lte_binary64_1011` `not-gt_binary64_1010` `not-lt_binary64_1009` `gte-same_binary64_1008` `lte-same_binary64_1007` `gt-same_binary64_1006` `lt-same_binary64_1005` `sinh---cosh_binary64_952` `sinh-+-cosh_binary64_951` `sinh-cosh_binary64_950` `tanh-def-c_binary64_949` `tanh-def-b_binary64_948` `tanh-def-a_binary64_947` `cosh-def_binary64_946` `sinh-def_binary64_945` `tan-neg_binary64_892` `cos-neg_binary64_891` `sin-neg_binary64_890` `tan-0_binary64_889` `cos-0_binary64_888` `sin-0_binary64_887` `hang-m-tan_binary64_886` `hang-p-tan_binary64_885` `hang-m0-tan_binary64_884` `hang-p0-tan_binary64_883` `hang-0m-tan_binary64_882` `hang-0p-tan_binary64_881` `tan-+PI/2_binary64_880` `tan-+PI_binary64_879` `tan-PI_binary64_878` `tan-PI/3_binary64_877` `tan-PI/4_binary64_876` `tan-PI/6_binary64_875` `cos-+PI/2_binary64_874` `cos-+PI_binary64_873` `cos-PI_binary64_872` `cos-PI/2_binary64_871` `cos-PI/3_binary64_870` `cos-PI/4_binary64_869` `cos-PI/6_binary64_868` `sin-+PI/2_binary64_867` `sin-+PI_binary64_866` `sin-PI_binary64_865` `sin-PI/2_binary64_864` `sin-PI/3_binary64_863` `sin-PI/4_binary64_862` `sin-PI/6_binary64_861` `sub-1-sin_binary64_860` `sub-1-cos_binary64_859` `-1-add-sin_binary64_858` `-1-add-cos_binary64_857` `1-sub-sin_binary64_856` `1-sub-cos_binary64_855` `cos-sin-sum_binary64_854` `log-E_binary64_850` `log-pow_binary64_849` `log-rec_binary64_848` `log-div_binary64_847` `log-prod_binary64_846` `pow-base-0_binary64_844` `unpow1/3_binary64_827` `unpow2_binary64_825` `unpow1/2_binary64_824` `pow-plus_binary64_823` `exp-to-pow_binary64_822` `pow-base-1_binary64_820` `unpow0_binary64_819` `unpow1_binary64_818` `unpow-1_binary64_817` `exp-lft-cube_binary64_816` `exp-lft-sqr_binary64_815` `exp-cbrt_binary64_814` `exp-sqrt_binary64_813` `exp-prod_binary64_812` `div-exp_binary64_811` `rec-exp_binary64_810` `prod-exp_binary64_809` `exp-diff_binary64_808` `exp-neg_binary64_807` `exp-sum_binary64_806` `e-exp-1_binary64_805` `exp-1-e_binary64_803` `exp-0_binary64_802` `rem-log-exp_binary64_801` `rem-exp-log_binary64_800` `cube-neg_binary64_787` `rem-3cbrt-rft_binary64_786` `rem-3cbrt-lft_binary64_785` `rem-cbrt-cube_binary64_784` `rem-cube-cbrt_binary64_783` `sqr-abs_binary64_775` `sqr-neg_binary64_774` `rem-sqrt-square_binary64_773` `rem-square-sqrt_binary64_772` `unsub-neg_binary64_754` `mul-1-neg_binary64_752` `remove-double-neg_binary64_748` `+-lft-identity_binary64_744` `+-inverses_binary64_739` `difference-of-sqr--1_binary64_731` `difference-of-sqr-1_binary64_730` `difference-of-squares_binary64_729` `cancel-sign-sub_binary64_725` `distribute-neg-frac_binary64_724` `distribute-frac-neg_binary64_723` `distribute-neg-out_binary64_722` `distribute-neg-in_binary64_721` `distribute-rgt-neg-out_binary64_720` `distribute-lft-neg-out_binary64_719` `distribute-rgt-neg-in_binary64_718` `distribute-lft-neg-in_binary64_717` `distribute-rgt1-in_binary64_716` `distribute-lft1-in_binary64_715` `distribute-rgt-out--_binary64_714` `distribute-rgt-out_binary64_713` `distribute-lft-out--_binary64_712` `distribute-lft-out_binary64_711` `count-2_binary64_708` `associate--r-_binary64_699` `associate--l+_binary64_697` `associate-+r-_binary64_694` `associate-+l+_binary64_693` `associate-+r+_binary64_692`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	88
1	85	76
2	144	48
3	219	36
4	245	36
5	679	36
6	1324	36
7	1536	36
8	1404	36
9	1511	36
10	1713	36
11	2126	36
12	3291	36
13	4990	36
14	5232	36
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
0%	99.9%	0.1%	6
23.4%	51.5%	25.1%	7
24.2%	50.7%	25.1%	8
24.6%	50.3%	25.1%	9
36.9%	25.5%	37.6%	10
37.2%	25.3%	37.6%	11
37.3%	25.1%	37.6%	12
43.5%	12.7%	43.8%	13
43.6%	12.6%	43.8%	14

Compiler

Compiled 29 to 21 computations (27.6% saved)

sample40.0ms (0.4%)

Algorithm

1×

intervals

Results

24.0ms	256×	body	128	valid
3.0ms	30×	body	128	nan

Compiler

Compiled 57 to 44 computations (22.8% saved)

simplify120.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

662×	`cube-prod_binary64_788`
617×	`distribute-rgt-in_binary64_710`
522×	`pow-sqr_binary64_733`
486×	`distribute-lft-in_binary64_709`
453×	`associate-/l*_binary64_705`
447×	`sqr-pow_binary64_732`
380×	`div-sub_binary64_765`
331×	`cube-div_binary64_789`
275×	`unpow3_binary64_826`
272×	`cube-mult_binary64_790`
266×	`associate-l_binary64_701`
242×	`times-frac_binary64_766`
181×	`swap-sqr_binary64_727`
129×	`*-commutative_binary64_691`
108×	`associate-/l/_binary64_707`
79×	`unswap-sqr_binary64_728`
77×	`associate-*l/_binary64_703`
64×	`associate-/r/_binary64_706`
50×	`associate-*r/_binary64_702`
48×	`sub-neg_binary64_753`
44×	`associate-/r*_binary64_704`
41×	`mul0-lft_binary64_742`
32×	`mul0-rgt_binary64_743`
24×	`associate-r_binary64_700`
20×	`+-commutative_binary64_690`
18×	`pow-plus_binary64_823` `div0_binary64_741`
11×	`remove-double-div_binary64_736`
8×	`/-rgt-identity_binary64_751`
6×	`unpow2_binary64_825`
5×	`*-rgt-identity_binary64_750`
4×	`cube-unmult_binary64_797`
3×	`unpow1_binary64_818` `rem-sqrt-square_binary64_773` `-lft-identity_binary64_749` `-inverses_binary64_740`
2×	`--rgt-identity_binary64_746` `lft-mult-inverse_binary64_738`
1×	`unpow1/2_binary64_824` `1-exp_binary64_804` `neg-mul-1_binary64_756` `neg-sub0_binary64_755` `sub0-neg_binary64_747` `+-rgt-identity_binary64_745` `rgt-mult-inverse_binary64_737` `cancel-sign-sub-inv_binary64_726` `associate--l-_binary64_698` `associate--r+_binary64_696` `associate-+l-_binary64_695`
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_1023` `erf-erfc_binary64_1022` `erf-odd_binary64_1021` `if-if-and-not_binary64_1020` `if-if-and_binary64_1019` `if-if-or-not_binary64_1018` `if-if-or_binary64_1017` `if-not_binary64_1016` `if-same_binary64_1015` `if-false_binary64_1014` `if-true_binary64_1013` `not-gte_binary64_1012` `not-lte_binary64_1011` `not-gt_binary64_1010` `not-lt_binary64_1009` `gte-same_binary64_1008` `lte-same_binary64_1007` `gt-same_binary64_1006` `lt-same_binary64_1005` `sinh---cosh_binary64_952` `sinh-+-cosh_binary64_951` `sinh-cosh_binary64_950` `tanh-def-c_binary64_949` `tanh-def-b_binary64_948` `tanh-def-a_binary64_947` `cosh-def_binary64_946` `sinh-def_binary64_945` `tan-neg_binary64_892` `cos-neg_binary64_891` `sin-neg_binary64_890` `tan-0_binary64_889` `cos-0_binary64_888` `sin-0_binary64_887` `hang-m-tan_binary64_886` `hang-p-tan_binary64_885` `hang-m0-tan_binary64_884` `hang-p0-tan_binary64_883` `hang-0m-tan_binary64_882` `hang-0p-tan_binary64_881` `tan-+PI/2_binary64_880` `tan-+PI_binary64_879` `tan-PI_binary64_878` `tan-PI/3_binary64_877` `tan-PI/4_binary64_876` `tan-PI/6_binary64_875` `cos-+PI/2_binary64_874` `cos-+PI_binary64_873` `cos-PI_binary64_872` `cos-PI/2_binary64_871` `cos-PI/3_binary64_870` `cos-PI/4_binary64_869` `cos-PI/6_binary64_868` `sin-+PI/2_binary64_867` `sin-+PI_binary64_866` `sin-PI_binary64_865` `sin-PI/2_binary64_864` `sin-PI/3_binary64_863` `sin-PI/4_binary64_862` `sin-PI/6_binary64_861` `sub-1-sin_binary64_860` `sub-1-cos_binary64_859` `-1-add-sin_binary64_858` `-1-add-cos_binary64_857` `1-sub-sin_binary64_856` `1-sub-cos_binary64_855` `cos-sin-sum_binary64_854` `log-E_binary64_850` `log-pow_binary64_849` `log-rec_binary64_848` `log-div_binary64_847` `log-prod_binary64_846` `pow-base-0_binary64_844` `unpow1/3_binary64_827` `exp-to-pow_binary64_822` `pow-base-1_binary64_820` `unpow0_binary64_819` `unpow-1_binary64_817` `exp-lft-cube_binary64_816` `exp-lft-sqr_binary64_815` `exp-cbrt_binary64_814` `exp-sqrt_binary64_813` `exp-prod_binary64_812` `div-exp_binary64_811` `rec-exp_binary64_810` `prod-exp_binary64_809` `exp-diff_binary64_808` `exp-neg_binary64_807` `exp-sum_binary64_806` `e-exp-1_binary64_805` `exp-1-e_binary64_803` `exp-0_binary64_802` `rem-log-exp_binary64_801` `rem-exp-log_binary64_800` `cube-neg_binary64_787` `rem-3cbrt-rft_binary64_786` `rem-3cbrt-lft_binary64_785` `rem-cbrt-cube_binary64_784` `rem-cube-cbrt_binary64_783` `sqr-abs_binary64_775` `sqr-neg_binary64_774` `rem-square-sqrt_binary64_772` `unsub-neg_binary64_754` `mul-1-neg_binary64_752` `remove-double-neg_binary64_748` `+-lft-identity_binary64_744` `+-inverses_binary64_739` `difference-of-sqr--1_binary64_731` `difference-of-sqr-1_binary64_730` `difference-of-squares_binary64_729` `cancel-sign-sub_binary64_725` `distribute-neg-frac_binary64_724` `distribute-frac-neg_binary64_723` `distribute-neg-out_binary64_722` `distribute-neg-in_binary64_721` `distribute-rgt-neg-out_binary64_720` `distribute-lft-neg-out_binary64_719` `distribute-rgt-neg-in_binary64_718` `distribute-lft-neg-in_binary64_717` `distribute-rgt1-in_binary64_716` `distribute-lft1-in_binary64_715` `distribute-rgt-out--_binary64_714` `distribute-rgt-out_binary64_713` `distribute-lft-out--_binary64_712` `distribute-lft-out_binary64_711` `count-2_binary64_708` `associate--r-_binary64_699` `associate--l+_binary64_697` `associate-+r-_binary64_694` `associate-+l+_binary64_693` `associate-+r+_binary64_692`

Counts

1 → 1

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	19	22
1	31	19
2	49	12
3	70	9
4	78	9
5	197	9
6	452	9
7	867	9
8	1025	9
9	1607	9
10	1898	9
11	2922	9
12	3978	9
13	4245	9
14	4332	9
15	4968	9

prune5.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.3b

Counts

2 → 2

Compiler

Compiled 40 to 32 computations (20% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.4b	(/.f64 (atan2.f64 im re) (log.f64 base))

rewrite37.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

12×	`times-frac_binary64_766`
10×	`add-cube-cbrt_binary64_795` `add-sqr-sqrt_binary64_782` `*-un-lft-identity_binary64_760`
5×	`pow1_binary64_821`
4×	`log-pow_binary64_849` `associate-/r*_binary64_704`
3×	`add-exp-log_binary64_798` `add-cbrt-cube_binary64_796` `associate-/l*_binary64_705`
1×	`div-exp_binary64_811` `add-log-exp_binary64_799` `cbrt-undiv_binary64_794` `frac-2neg_binary64_771` `clear-num_binary64_759` `div-inv_binary64_757`

Counts

1 → 31

Calls

1 calls:

3.0ms

(/.f64 (atan2.f64 im re) (log.f64 base))

Compiler

Compiled 426 to 103 computations (75.8% saved)

series326.0ms (3.4%)

Error

0.3b

Counts

1 → 9

Calls

1 calls:

321.0ms

(/.f64 (atan2.f64 im re) (log.f64 base))

Compiler

Compiled 189 to 145 computations (23.3% saved)

simplify89.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

556×	`distribute-neg-in_binary64_721`
438×	`div-sub_binary64_765`
404×	`distribute-rgt-in_binary64_710`
382×	`neg-mul-1_binary64_756`
379×	`sub-neg_binary64_753`
356×	`distribute-lft-in_binary64_709`
354×	`neg-sub0_binary64_755`
280×	`distribute-frac-neg_binary64_723`
222×	`distribute-neg-frac_binary64_724`
217×	`distribute-rgt-neg-out_binary64_720`
188×	`associate-/l/_binary64_707`
174×	`cancel-sign-sub-inv_binary64_726`
167×	`remove-double-neg_binary64_748`
156×	`times-frac_binary64_766`
147×	`associate-/l*_binary64_705`
121×	`sqr-pow_binary64_732`
116×	`distribute-lft-neg-out_binary64_719`
106×	`log-div_binary64_847`
97×	`cube-div_binary64_789` `associate-/r*_binary64_704`
92×	`log-prod_binary64_846`
91×	`cube-prod_binary64_788`
86×	`associate-/r/_binary64_706`
83×	`unsub-neg_binary64_754`
79×	`+-lft-identity_binary64_744`
67×	`associate-*l/_binary64_703`
64×	`distribute-neg-out_binary64_722`
61×	`div0_binary64_741`
55×	`associate-l_binary64_701`
54×	`associate-*r/_binary64_702`
51×	`exp-prod_binary64_812`
49×	`*-lft-identity_binary64_749`
45×	`mul0-rgt_binary64_743`
44×	`*-rgt-identity_binary64_750` `mul0-lft_binary64_742`
39×	`associate-r_binary64_700`
36×	`unswap-sqr_binary64_728`
31×	`/-rgt-identity_binary64_751`
29×	`exp-sum_binary64_806`
26×	`*-commutative_binary64_691`
24×	`swap-sqr_binary64_727`
23×	`cube-neg_binary64_787`
21×	`unpow3_binary64_826`
20×	`+-rgt-identity_binary64_745`
19×	`cube-mult_binary64_790`
18×	`associate--r+_binary64_696` `associate-+r+_binary64_692`
17×	`pow-sqr_binary64_733` `distribute-rgt-neg-in_binary64_718` `associate-+r-_binary64_694`
16×	`distribute-lft-neg-in_binary64_717`
15×	`+-commutative_binary64_690`
14×	`exp-diff_binary64_808` `sqr-neg_binary64_774` `mul-1-neg_binary64_752`
13×	`log-rec_binary64_848`
12×	`associate--r-_binary64_699` `associate--l-_binary64_698` `associate-+l-_binary64_695` `associate-+l+_binary64_693`
10×	`rem-sqrt-square_binary64_773`
8×	`associate--l+_binary64_697`
5×	`cube-unmult_binary64_797`
4×	`exp-neg_binary64_807` `distribute-rgt-out_binary64_713`
3×	`sub0-neg_binary64_747` `distribute-rgt-out--_binary64_714`
2×	`--rgt-identity_binary64_746` `remove-double-div_binary64_736`
1×	`unpow1/2_binary64_824` `unpow-1_binary64_817` `1-exp_binary64_804` `exp-1-e_binary64_803` `+-inverses_binary64_739` `distribute-rgt1-in_binary64_716` `distribute-lft1-in_binary64_715` `distribute-lft-out_binary64_711` `count-2_binary64_708`
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_1023` `erf-erfc_binary64_1022` `erf-odd_binary64_1021` `if-if-and-not_binary64_1020` `if-if-and_binary64_1019` `if-if-or-not_binary64_1018` `if-if-or_binary64_1017` `if-not_binary64_1016` `if-same_binary64_1015` `if-false_binary64_1014` `if-true_binary64_1013` `not-gte_binary64_1012` `not-lte_binary64_1011` `not-gt_binary64_1010` `not-lt_binary64_1009` `gte-same_binary64_1008` `lte-same_binary64_1007` `gt-same_binary64_1006` `lt-same_binary64_1005` `sinh---cosh_binary64_952` `sinh-+-cosh_binary64_951` `sinh-cosh_binary64_950` `tanh-def-c_binary64_949` `tanh-def-b_binary64_948` `tanh-def-a_binary64_947` `cosh-def_binary64_946` `sinh-def_binary64_945` `tan-neg_binary64_892` `cos-neg_binary64_891` `sin-neg_binary64_890` `tan-0_binary64_889` `cos-0_binary64_888` `sin-0_binary64_887` `hang-m-tan_binary64_886` `hang-p-tan_binary64_885` `hang-m0-tan_binary64_884` `hang-p0-tan_binary64_883` `hang-0m-tan_binary64_882` `hang-0p-tan_binary64_881` `tan-+PI/2_binary64_880` `tan-+PI_binary64_879` `tan-PI_binary64_878` `tan-PI/3_binary64_877` `tan-PI/4_binary64_876` `tan-PI/6_binary64_875` `cos-+PI/2_binary64_874` `cos-+PI_binary64_873` `cos-PI_binary64_872` `cos-PI/2_binary64_871` `cos-PI/3_binary64_870` `cos-PI/4_binary64_869` `cos-PI/6_binary64_868` `sin-+PI/2_binary64_867` `sin-+PI_binary64_866` `sin-PI_binary64_865` `sin-PI/2_binary64_864` `sin-PI/3_binary64_863` `sin-PI/4_binary64_862` `sin-PI/6_binary64_861` `sub-1-sin_binary64_860` `sub-1-cos_binary64_859` `-1-add-sin_binary64_858` `-1-add-cos_binary64_857` `1-sub-sin_binary64_856` `1-sub-cos_binary64_855` `cos-sin-sum_binary64_854` `log-E_binary64_850` `log-pow_binary64_849` `pow-base-0_binary64_844` `unpow1/3_binary64_827` `unpow2_binary64_825` `pow-plus_binary64_823` `exp-to-pow_binary64_822` `pow-base-1_binary64_820` `unpow0_binary64_819` `unpow1_binary64_818` `exp-lft-cube_binary64_816` `exp-lft-sqr_binary64_815` `exp-cbrt_binary64_814` `exp-sqrt_binary64_813` `div-exp_binary64_811` `rec-exp_binary64_810` `prod-exp_binary64_809` `e-exp-1_binary64_805` `exp-0_binary64_802` `rem-log-exp_binary64_801` `rem-exp-log_binary64_800` `rem-3cbrt-rft_binary64_786` `rem-3cbrt-lft_binary64_785` `rem-cbrt-cube_binary64_784` `rem-cube-cbrt_binary64_783` `sqr-abs_binary64_775` `rem-square-sqrt_binary64_772` `*-inverses_binary64_740` `lft-mult-inverse_binary64_738` `rgt-mult-inverse_binary64_737` `difference-of-sqr--1_binary64_731` `difference-of-sqr-1_binary64_730` `difference-of-squares_binary64_729` `cancel-sign-sub_binary64_725` `distribute-lft-out--_binary64_712`

Counts

40 → 13

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	63	610
1	107	572
2	213	572
3	400	572
4	1451	572
5	3750	572
6	4020	572
7	4804	572

prune15.0ms (0.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	9	4	13
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	9	6	15

Error

0.2b

Counts

15 → 6

Compiler

Compiled 198 to 79 computations (60.1% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.9b	(*.f64 (cbrt.f64 (atan2.f64 im re)) (cbrt.f64 (atan2.f64 im re)))
4.8b	(cbrt.f64 (atan2.f64 im re))
4.8b	(cbrt.f64 (atan2.f64 im re))
4.8b	(cbrt.f64 (atan2.f64 im re))

rewrite87.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

25×	`cbrt-prod_binary64_791`
23×	`add-sqr-sqrt_binary64_782`
15×	`add-cube-cbrt_binary64_795` `*-un-lft-identity_binary64_760`
11×	`pow1_binary64_821`
9×	`pow1/3_binary64_842`
6×	`add-exp-log_binary64_798` `swap-sqr_binary64_727` `associate-l_binary64_701` `associate-r_binary64_700`
4×	`add-log-exp_binary64_799` `add-cbrt-cube_binary64_796` `unswap-sqr_binary64_728`
2×	`pow-prod-down_binary64_831` `pow-prod-up_binary64_830` `pow-sqr_binary64_733`
1×	`pow2_binary64_841` `pow-plus_binary64_823` `prod-exp_binary64_809` `cbrt-unprod_binary64_793` `*-commutative_binary64_691`

Counts

4 → 73

Calls

4 calls:

6.0ms	(*.f64 (cbrt.f64 (atan2.f64 im re)) (cbrt.f64 (atan2.f64 im re)))
1.0ms	(cbrt.f64 (atan2.f64 im re))
1.0ms	(cbrt.f64 (atan2.f64 im re))
1.0ms	(cbrt.f64 (atan2.f64 im re))

Compiler

Compiled 1717 to 246 computations (85.7% saved)

series977.0ms (10.3%)

Error

0.2b

Counts

4 → 24

Calls

4 calls:

301.0ms	(*.f64 (cbrt.f64 (atan2.f64 im re)) (cbrt.f64 (atan2.f64 im re)))
223.0ms	(cbrt.f64 (atan2.f64 im re))
221.0ms	(cbrt.f64 (atan2.f64 im re))
214.0ms	(cbrt.f64 (atan2.f64 im re))

Compiler

Compiled 1242 to 650 computations (47.7% saved)

simplify112.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

584×	`log-prod_binary64_846`
394×	`sqr-pow_binary64_732`
327×	`*-commutative_binary64_691`
311×	`distribute-lft-out_binary64_711`
278×	`associate-l_binary64_701`
266×	`associate-/r/_binary64_706`
258×	`associate-/l/_binary64_707`
188×	`exp-prod_binary64_812`
172×	`associate-r_binary64_700`
157×	`log-pow_binary64_849`
151×	`distribute-rgt-out_binary64_713`
145×	`cube-prod_binary64_788`
126×	`pow-sqr_binary64_733`
119×	`log-div_binary64_847`
112×	`unswap-sqr_binary64_728`
111×	`swap-sqr_binary64_727`
104×	`associate-/l*_binary64_705`
75×	`associate-+l+_binary64_693`
69×	`associate-+r+_binary64_692`
61×	`distribute-rgt-in_binary64_710`
57×	`distribute-lft-in_binary64_709`
54×	`times-frac_binary64_766`
42×	`rem-sqrt-square_binary64_773`
40×	`pow-plus_binary64_823` `+-commutative_binary64_690`
36×	`count-2_binary64_708`
35×	`associate-*r/_binary64_702`
31×	`-rgt-identity_binary64_750` `-lft-identity_binary64_749`
30×	`unpow3_binary64_826`
25×	`cube-mult_binary64_790`
24×	`associate-/r*_binary64_704`
22×	`distribute-rgt1-in_binary64_716`
12×	`cube-div_binary64_789`
11×	`cube-unmult_binary64_797`
10×	`distribute-lft1-in_binary64_715`
9×	`unpow1/2_binary64_824`
8×	`associate-*l/_binary64_703`
7×	`unpow2_binary64_825`
4×	`unpow1_binary64_818`
2×	`unpow1/3_binary64_827` `rem-3cbrt-lft_binary64_785` `rem-cbrt-cube_binary64_784`
1×	`log-rec_binary64_848` `exp-lft-sqr_binary64_815` `exp-sqrt_binary64_813` `1-exp_binary64_804` `exp-1-e_binary64_803` `rem-3cbrt-rft_binary64_786` `rem-square-sqrt_binary64_772`
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_1023` `erf-erfc_binary64_1022` `erf-odd_binary64_1021` `if-if-and-not_binary64_1020` `if-if-and_binary64_1019` `if-if-or-not_binary64_1018` `if-if-or_binary64_1017` `if-not_binary64_1016` `if-same_binary64_1015` `if-false_binary64_1014` `if-true_binary64_1013` `not-gte_binary64_1012` `not-lte_binary64_1011` `not-gt_binary64_1010` `not-lt_binary64_1009` `gte-same_binary64_1008` `lte-same_binary64_1007` `gt-same_binary64_1006` `lt-same_binary64_1005` `sinh---cosh_binary64_952` `sinh-+-cosh_binary64_951` `sinh-cosh_binary64_950` `tanh-def-c_binary64_949` `tanh-def-b_binary64_948` `tanh-def-a_binary64_947` `cosh-def_binary64_946` `sinh-def_binary64_945` `tan-neg_binary64_892` `cos-neg_binary64_891` `sin-neg_binary64_890` `tan-0_binary64_889` `cos-0_binary64_888` `sin-0_binary64_887` `hang-m-tan_binary64_886` `hang-p-tan_binary64_885` `hang-m0-tan_binary64_884` `hang-p0-tan_binary64_883` `hang-0m-tan_binary64_882` `hang-0p-tan_binary64_881` `tan-+PI/2_binary64_880` `tan-+PI_binary64_879` `tan-PI_binary64_878` `tan-PI/3_binary64_877` `tan-PI/4_binary64_876` `tan-PI/6_binary64_875` `cos-+PI/2_binary64_874` `cos-+PI_binary64_873` `cos-PI_binary64_872` `cos-PI/2_binary64_871` `cos-PI/3_binary64_870` `cos-PI/4_binary64_869` `cos-PI/6_binary64_868` `sin-+PI/2_binary64_867` `sin-+PI_binary64_866` `sin-PI_binary64_865` `sin-PI/2_binary64_864` `sin-PI/3_binary64_863` `sin-PI/4_binary64_862` `sin-PI/6_binary64_861` `sub-1-sin_binary64_860` `sub-1-cos_binary64_859` `-1-add-sin_binary64_858` `-1-add-cos_binary64_857` `1-sub-sin_binary64_856` `1-sub-cos_binary64_855` `cos-sin-sum_binary64_854` `log-E_binary64_850` `pow-base-0_binary64_844` `exp-to-pow_binary64_822` `pow-base-1_binary64_820` `unpow0_binary64_819` `unpow-1_binary64_817` `exp-lft-cube_binary64_816` `exp-cbrt_binary64_814` `div-exp_binary64_811` `rec-exp_binary64_810` `prod-exp_binary64_809` `exp-diff_binary64_808` `exp-neg_binary64_807` `exp-sum_binary64_806` `e-exp-1_binary64_805` `exp-0_binary64_802` `rem-log-exp_binary64_801` `rem-exp-log_binary64_800` `cube-neg_binary64_787` `rem-cube-cbrt_binary64_783` `sqr-abs_binary64_775` `sqr-neg_binary64_774` `div-sub_binary64_765` `neg-mul-1_binary64_756` `neg-sub0_binary64_755` `unsub-neg_binary64_754` `sub-neg_binary64_753` `mul-1-neg_binary64_752` `/-rgt-identity_binary64_751` `remove-double-neg_binary64_748` `sub0-neg_binary64_747` `--rgt-identity_binary64_746` `+-rgt-identity_binary64_745` `+-lft-identity_binary64_744` `mul0-rgt_binary64_743` `mul0-lft_binary64_742` `div0_binary64_741` `*-inverses_binary64_740` `+-inverses_binary64_739` `lft-mult-inverse_binary64_738` `rgt-mult-inverse_binary64_737` `remove-double-div_binary64_736` `difference-of-sqr--1_binary64_731` `difference-of-sqr-1_binary64_730` `difference-of-squares_binary64_729` `cancel-sign-sub-inv_binary64_726` `cancel-sign-sub_binary64_725` `distribute-neg-frac_binary64_724` `distribute-frac-neg_binary64_723` `distribute-neg-out_binary64_722` `distribute-neg-in_binary64_721` `distribute-rgt-neg-out_binary64_720` `distribute-lft-neg-out_binary64_719` `distribute-rgt-neg-in_binary64_718` `distribute-lft-neg-in_binary64_717` `distribute-rgt-out--_binary64_714` `distribute-lft-out--_binary64_712` `associate--r-_binary64_699` `associate--l-_binary64_698` `associate--l+_binary64_697` `associate--r+_binary64_696` `associate-+l-_binary64_695` `associate-+r-_binary64_694`

Counts

97 → 64

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	51	1160
1	82	1069
2	259	1037
3	870	1017
4	1628	891
5	2483	891
6	4799	891
7	4826	891

prune71.0ms (0.7%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	59	5	64
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	59	11	70

Error

0.1b

Counts

70 → 11

Compiler

Compiled 1311 to 300 computations (77.1% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

4.8b	(cbrt.f64 (atan2.f64 im re))
4.8b	(cbrt.f64 (atan2.f64 im re))
4.8b	(cbrt.f64 (atan2.f64 im re))
4.8b	(cbrt.f64 (atan2.f64 im re))

rewrite68.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

12×	`cbrt-prod_binary64_791`
8×	`add-cube-cbrt_binary64_795` `add-sqr-sqrt_binary64_782` `*-un-lft-identity_binary64_760`
4×	`pow1/3_binary64_842` `pow1_binary64_821` `add-log-exp_binary64_799` `add-exp-log_binary64_798` `add-cbrt-cube_binary64_796`

Counts

4 → 44

Calls

4 calls:

1.0ms	(cbrt.f64 (atan2.f64 im re))
1.0ms	(cbrt.f64 (atan2.f64 im re))
1.0ms	(cbrt.f64 (atan2.f64 im re))
1.0ms	(cbrt.f64 (atan2.f64 im re))

Compiler

Compiled 1392 to 302 computations (78.3% saved)

series1.0s (10.6%)

Error

0.1b

Counts

4 → 24

Calls

4 calls:

262.0ms	(cbrt.f64 (atan2.f64 im re))
246.0ms	(cbrt.f64 (atan2.f64 im re))
238.0ms	(cbrt.f64 (atan2.f64 im re))
226.0ms	(cbrt.f64 (atan2.f64 im re))

Compiler

Compiled 1944 to 958 computations (50.7% saved)

simplify95.0ms (1%)

Algorithm

1×	egg-herbie

Rules

813×	`associate-/r/_binary64_706`
551×	`log-prod_binary64_846`
409×	`associate-l_binary64_701`
350×	`distribute-rgt-out_binary64_713`
267×	`sqr-pow_binary64_732`
254×	`associate-r_binary64_700`
241×	`times-frac_binary64_766`
222×	`distribute-lft-out_binary64_711`
217×	`*-commutative_binary64_691`
205×	`distribute-rgt-in_binary64_710`
201×	`distribute-lft-in_binary64_709`
166×	`unswap-sqr_binary64_728`
162×	`associate-/l*_binary64_705`
122×	`associate-/l/_binary64_707`
118×	`distribute-rgt1-in_binary64_716`
107×	`pow-sqr_binary64_733`
106×	`+-commutative_binary64_690`
91×	`associate-+l+_binary64_693`
89×	`associate-+r+_binary64_692`
80×	`exp-prod_binary64_812`
69×	`log-pow_binary64_849`
61×	`cube-prod_binary64_788`
56×	`count-2_binary64_708`
52×	`associate-/r*_binary64_704`
49×	`associate-*r/_binary64_702`
42×	`distribute-lft1-in_binary64_715`
28×	`pow-plus_binary64_823`
27×	`associate-*l/_binary64_703`
19×	`unpow3_binary64_826`
15×	`cube-mult_binary64_790` `*-lft-identity_binary64_749`
11×	`*-rgt-identity_binary64_750`
8×	`cube-unmult_binary64_797`
6×	`rem-sqrt-square_binary64_773`
5×	`unpow2_binary64_825`
4×	`/-rgt-identity_binary64_751`
3×	`unpow1_binary64_818`
1×	`unpow1/3_binary64_827` `unpow1/2_binary64_824` `1-exp_binary64_804` `rem-3cbrt-lft_binary64_785` `swap-sqr_binary64_727`
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_1023` `erf-erfc_binary64_1022` `erf-odd_binary64_1021` `if-if-and-not_binary64_1020` `if-if-and_binary64_1019` `if-if-or-not_binary64_1018` `if-if-or_binary64_1017` `if-not_binary64_1016` `if-same_binary64_1015` `if-false_binary64_1014` `if-true_binary64_1013` `not-gte_binary64_1012` `not-lte_binary64_1011` `not-gt_binary64_1010` `not-lt_binary64_1009` `gte-same_binary64_1008` `lte-same_binary64_1007` `gt-same_binary64_1006` `lt-same_binary64_1005` `sinh---cosh_binary64_952` `sinh-+-cosh_binary64_951` `sinh-cosh_binary64_950` `tanh-def-c_binary64_949` `tanh-def-b_binary64_948` `tanh-def-a_binary64_947` `cosh-def_binary64_946` `sinh-def_binary64_945` `tan-neg_binary64_892` `cos-neg_binary64_891` `sin-neg_binary64_890` `tan-0_binary64_889` `cos-0_binary64_888` `sin-0_binary64_887` `hang-m-tan_binary64_886` `hang-p-tan_binary64_885` `hang-m0-tan_binary64_884` `hang-p0-tan_binary64_883` `hang-0m-tan_binary64_882` `hang-0p-tan_binary64_881` `tan-+PI/2_binary64_880` `tan-+PI_binary64_879` `tan-PI_binary64_878` `tan-PI/3_binary64_877` `tan-PI/4_binary64_876` `tan-PI/6_binary64_875` `cos-+PI/2_binary64_874` `cos-+PI_binary64_873` `cos-PI_binary64_872` `cos-PI/2_binary64_871` `cos-PI/3_binary64_870` `cos-PI/4_binary64_869` `cos-PI/6_binary64_868` `sin-+PI/2_binary64_867` `sin-+PI_binary64_866` `sin-PI_binary64_865` `sin-PI/2_binary64_864` `sin-PI/3_binary64_863` `sin-PI/4_binary64_862` `sin-PI/6_binary64_861` `sub-1-sin_binary64_860` `sub-1-cos_binary64_859` `-1-add-sin_binary64_858` `-1-add-cos_binary64_857` `1-sub-sin_binary64_856` `1-sub-cos_binary64_855` `cos-sin-sum_binary64_854` `log-E_binary64_850` `log-rec_binary64_848` `log-div_binary64_847` `pow-base-0_binary64_844` `exp-to-pow_binary64_822` `pow-base-1_binary64_820` `unpow0_binary64_819` `unpow-1_binary64_817` `exp-lft-cube_binary64_816` `exp-lft-sqr_binary64_815` `exp-cbrt_binary64_814` `exp-sqrt_binary64_813` `div-exp_binary64_811` `rec-exp_binary64_810` `prod-exp_binary64_809` `exp-diff_binary64_808` `exp-neg_binary64_807` `exp-sum_binary64_806` `e-exp-1_binary64_805` `exp-1-e_binary64_803` `exp-0_binary64_802` `rem-log-exp_binary64_801` `rem-exp-log_binary64_800` `cube-div_binary64_789` `cube-neg_binary64_787` `rem-3cbrt-rft_binary64_786` `rem-cbrt-cube_binary64_784` `rem-cube-cbrt_binary64_783` `sqr-abs_binary64_775` `sqr-neg_binary64_774` `rem-square-sqrt_binary64_772` `div-sub_binary64_765` `neg-mul-1_binary64_756` `neg-sub0_binary64_755` `unsub-neg_binary64_754` `sub-neg_binary64_753` `mul-1-neg_binary64_752` `remove-double-neg_binary64_748` `sub0-neg_binary64_747` `--rgt-identity_binary64_746` `+-rgt-identity_binary64_745` `+-lft-identity_binary64_744` `mul0-rgt_binary64_743` `mul0-lft_binary64_742` `div0_binary64_741` `*-inverses_binary64_740` `+-inverses_binary64_739` `lft-mult-inverse_binary64_738` `rgt-mult-inverse_binary64_737` `remove-double-div_binary64_736` `difference-of-sqr--1_binary64_731` `difference-of-sqr-1_binary64_730` `difference-of-squares_binary64_729` `cancel-sign-sub-inv_binary64_726` `cancel-sign-sub_binary64_725` `distribute-neg-frac_binary64_724` `distribute-frac-neg_binary64_723` `distribute-neg-out_binary64_722` `distribute-neg-in_binary64_721` `distribute-rgt-neg-out_binary64_720` `distribute-lft-neg-out_binary64_719` `distribute-rgt-neg-in_binary64_718` `distribute-lft-neg-in_binary64_717` `distribute-rgt-out--_binary64_714` `distribute-lft-out--_binary64_712` `associate--r-_binary64_699` `associate--l-_binary64_698` `associate--l+_binary64_697` `associate--r+_binary64_696` `associate-+l-_binary64_695` `associate-+r-_binary64_694`

Counts

68 → 32

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	588
1	27	560
2	54	560
3	110	560
4	336	560
5	1522	560
6	2771	560
7	3674	560
8	5131	560

prune46.0ms (0.5%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	32	0	32
Fresh	0	8	8
Picked	0	1	1
Done	0	2	2
Total	32	11	43

Error

0.1b

Counts

43 → 11

Compiler

Compiled 1000 to 251 computations (74.9% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.4b	(*.f64 (cbrt.f64 (pow.f64 (atan2.f64 im re) 2)) (/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 base)))
0.4b	(/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 base))
4.8b	(cbrt.f64 (atan2.f64 im re))
7.3b	(cbrt.f64 (pow.f64 (atan2.f64 im re) 2))

rewrite201.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

76×	`add-sqr-sqrt_binary64_782`
63×	`cbrt-prod_binary64_791`
58×	`times-frac_binary64_766`
42×	`add-cube-cbrt_binary64_795` `*-un-lft-identity_binary64_760`
28×	`associate-r_binary64_700`
19×	`pow1_binary64_821`
15×	`unswap-sqr_binary64_728`
13×	`log-pow_binary64_849`
11×	`add-exp-log_binary64_798` `associate-l_binary64_701`
9×	`unpow-prod-down_binary64_839`
7×	`add-cbrt-cube_binary64_796`
6×	`associate-/l*_binary64_705`
5×	`unpow2_binary64_825` `sqr-pow_binary64_732`
4×	`add-log-exp_binary64_799` `associate-/r*_binary64_704`
2×	`pow1/3_binary64_842` `div-exp_binary64_811` `cbrt-undiv_binary64_794` `div-inv_binary64_757` `prod-exp_binary64_809` `cbrt-unprod_binary64_793`
1×	`frac-2neg_binary64_771` `clear-num_binary64_759` `pow-prod-down_binary64_831` `associate-r/_binary64_702` `-commutative_binary64_691`

Counts

4 → 141

Calls

4 calls:

15.0ms	(*.f64 (cbrt.f64 (pow.f64 (atan2.f64 im re) 2)) (/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 base)))
4.0ms	(/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 base))
2.0ms	(cbrt.f64 (pow.f64 (atan2.f64 im re) 2))
1.0ms	(cbrt.f64 (atan2.f64 im re))

Compiler

Compiled 3398 to 1069 computations (68.5% saved)

series1.5s (15.7%)

Error

0.1b

Counts

4 → 30

Calls

4 calls:

641.0ms	(/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 base))
311.0ms	(*.f64 (cbrt.f64 (pow.f64 (atan2.f64 im re) 2)) (/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 base)))
278.0ms	(cbrt.f64 (pow.f64 (atan2.f64 im re) 2))
236.0ms	(cbrt.f64 (atan2.f64 im re))

Compiler

Compiled 1215 to 869 computations (28.5% saved)

simplify166.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

640×	`associate-/l*_binary64_705`
398×	`times-frac_binary64_766`
350×	`associate-*l/_binary64_703`
318×	`associate-*r/_binary64_702`
286×	`log-div_binary64_847` `*-commutative_binary64_691`
223×	`div-sub_binary64_765`
197×	`log-prod_binary64_846`
181×	`associate-/l/_binary64_707`
175×	`unswap-sqr_binary64_728`
159×	`associate-/r*_binary64_704`
133×	`associate-l_binary64_701`
128×	`associate-r_binary64_700`
101×	`associate-/r/_binary64_706`
91×	`cube-div_binary64_789`
90×	`cube-prod_binary64_788`
64×	`exp-prod_binary64_812`
49×	`log-pow_binary64_849`
31×	`log-rec_binary64_848` `sqr-pow_binary64_732`
29×	`*-rgt-identity_binary64_750`
26×	`rem-sqrt-square_binary64_773` `*-lft-identity_binary64_749`
19×	`distribute-rgt-neg-in_binary64_718`
16×	`pow-plus_binary64_823` `associate-+r+_binary64_692`
15×	`sub-neg_binary64_753`
14×	`cube-unmult_binary64_797` `swap-sqr_binary64_727` `distribute-lft-neg-in_binary64_717`
12×	`+-commutative_binary64_690`
11×	`unpow3_binary64_826` `/-rgt-identity_binary64_751` `distribute-neg-frac_binary64_724` `associate-+l+_binary64_693`
10×	`associate-+r-_binary64_694`
9×	`neg-sub0_binary64_755` `cancel-sign-sub-inv_binary64_726`
8×	`cube-mult_binary64_790`
7×	`associate-+l-_binary64_695`
6×	`neg-mul-1_binary64_756` `pow-sqr_binary64_733`
5×	`unpow1/2_binary64_824` `mul-1-neg_binary64_752` `distribute-frac-neg_binary64_723` `associate--r+_binary64_696`
4×	`unpow2_binary64_825` `unpow1_binary64_818` `sqr-neg_binary64_774` `associate--l+_binary64_697`
3×	`exp-diff_binary64_808` `exp-sum_binary64_806` `cube-neg_binary64_787` `associate--r-_binary64_699` `associate--l-_binary64_698`
2×	`unpow1/3_binary64_827` `rem-3cbrt-lft_binary64_785` `distribute-lft-out_binary64_711` `distribute-rgt-in_binary64_710` `distribute-lft-in_binary64_709` `count-2_binary64_708`
1×	`1-exp_binary64_804` `exp-1-e_binary64_803` `rem-cbrt-cube_binary64_784` `rem-square-sqrt_binary64_772` `+-inverses_binary64_739` `distribute-neg-in_binary64_721`
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_1023` `erf-erfc_binary64_1022` `erf-odd_binary64_1021` `if-if-and-not_binary64_1020` `if-if-and_binary64_1019` `if-if-or-not_binary64_1018` `if-if-or_binary64_1017` `if-not_binary64_1016` `if-same_binary64_1015` `if-false_binary64_1014` `if-true_binary64_1013` `not-gte_binary64_1012` `not-lte_binary64_1011` `not-gt_binary64_1010` `not-lt_binary64_1009` `gte-same_binary64_1008` `lte-same_binary64_1007` `gt-same_binary64_1006` `lt-same_binary64_1005` `sinh---cosh_binary64_952` `sinh-+-cosh_binary64_951` `sinh-cosh_binary64_950` `tanh-def-c_binary64_949` `tanh-def-b_binary64_948` `tanh-def-a_binary64_947` `cosh-def_binary64_946` `sinh-def_binary64_945` `tan-neg_binary64_892` `cos-neg_binary64_891` `sin-neg_binary64_890` `tan-0_binary64_889` `cos-0_binary64_888` `sin-0_binary64_887` `hang-m-tan_binary64_886` `hang-p-tan_binary64_885` `hang-m0-tan_binary64_884` `hang-p0-tan_binary64_883` `hang-0m-tan_binary64_882` `hang-0p-tan_binary64_881` `tan-+PI/2_binary64_880` `tan-+PI_binary64_879` `tan-PI_binary64_878` `tan-PI/3_binary64_877` `tan-PI/4_binary64_876` `tan-PI/6_binary64_875` `cos-+PI/2_binary64_874` `cos-+PI_binary64_873` `cos-PI_binary64_872` `cos-PI/2_binary64_871` `cos-PI/3_binary64_870` `cos-PI/4_binary64_869` `cos-PI/6_binary64_868` `sin-+PI/2_binary64_867` `sin-+PI_binary64_866` `sin-PI_binary64_865` `sin-PI/2_binary64_864` `sin-PI/3_binary64_863` `sin-PI/4_binary64_862` `sin-PI/6_binary64_861` `sub-1-sin_binary64_860` `sub-1-cos_binary64_859` `-1-add-sin_binary64_858` `-1-add-cos_binary64_857` `1-sub-sin_binary64_856` `1-sub-cos_binary64_855` `cos-sin-sum_binary64_854` `log-E_binary64_850` `pow-base-0_binary64_844` `exp-to-pow_binary64_822` `pow-base-1_binary64_820` `unpow0_binary64_819` `unpow-1_binary64_817` `exp-lft-cube_binary64_816` `exp-lft-sqr_binary64_815` `exp-cbrt_binary64_814` `exp-sqrt_binary64_813` `div-exp_binary64_811` `rec-exp_binary64_810` `prod-exp_binary64_809` `exp-neg_binary64_807` `e-exp-1_binary64_805` `exp-0_binary64_802` `rem-log-exp_binary64_801` `rem-exp-log_binary64_800` `rem-3cbrt-rft_binary64_786` `rem-cube-cbrt_binary64_783` `sqr-abs_binary64_775` `unsub-neg_binary64_754` `remove-double-neg_binary64_748` `sub0-neg_binary64_747` `--rgt-identity_binary64_746` `+-rgt-identity_binary64_745` `+-lft-identity_binary64_744` `mul0-rgt_binary64_743` `mul0-lft_binary64_742` `div0_binary64_741` `*-inverses_binary64_740` `lft-mult-inverse_binary64_738` `rgt-mult-inverse_binary64_737` `remove-double-div_binary64_736` `difference-of-sqr--1_binary64_731` `difference-of-sqr-1_binary64_730` `difference-of-squares_binary64_729` `cancel-sign-sub_binary64_725` `distribute-neg-out_binary64_722` `distribute-rgt-neg-out_binary64_720` `distribute-lft-neg-out_binary64_719` `distribute-rgt1-in_binary64_716` `distribute-lft1-in_binary64_715` `distribute-rgt-out--_binary64_714` `distribute-rgt-out_binary64_713` `distribute-lft-out--_binary64_712`

Counts

171 → 121

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	169	3709
1	341	3309
2	1169	3305
3	3914	3014
4	4756	3014
5	4944	3014

prune111.0ms (1.2%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	114	7	121
Fresh	5	2	7
Picked	0	1	1
Done	1	2	3
Total	120	12	132

Error

0.1b

Counts

132 → 12

Compiler

Compiled 2306 to 601 computations (73.9% saved)

regimes930.0ms (9.8%)

Accuracy

Total 0.3b remaining (98.6%)

Threshold costs 0.3b (98.6%)

Compiler

Compiled 9661 to 5831 computations (39.6% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

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 if-if-and-not_binary64_1020 if-if-and_binary64_1019 if-if-or-not_binary64_1018 if-if-or_binary64_1017 if-not_binary64_1016 if-same_binary64_1015 if-false_binary64_1014 if-true_binary64_1013 tan-0_binary64_889 cos-0_binary64_888 sin-0_binary64_887 unpow1_binary64_818 e-exp-1_binary64_805 1-exp_binary64_804 exp-1-e_binary64_803 exp-0_binary64_802 sqr-abs_binary64_775 sqr-neg_binary64_774 neg-mul-1_binary64_756 neg-sub0_binary64_755 unsub-neg_binary64_754 sub-neg_binary64_753 mul-1-neg_binary64_752 /-rgt-identity_binary64_751 *-rgt-identity_binary64_750 *-lft-identity_binary64_749 remove-double-neg_binary64_748 sub0-neg_binary64_747 --rgt-identity_binary64_746 +-rgt-identity_binary64_745 +-lft-identity_binary64_744 cancel-sign-sub-inv_binary64_726 cancel-sign-sub_binary64_725 distribute-neg-frac_binary64_724 distribute-frac-neg_binary64_723 distribute-neg-out_binary64_722 distribute-neg-in_binary64_721 distribute-rgt-neg-out_binary64_720 distribute-lft-neg-out_binary64_719 distribute-rgt-neg-in_binary64_718 distribute-lft-neg-in_binary64_717 *-commutative_binary64_691 +-commutative_binary64_690

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	7	9

end0.0ms (0%)

sample2.8s (29.5%)

Algorithm

1×

intervals

Results

769.0ms	8000×	body	128	valid
89.0ms	1006×	body	128	nan

Compiler

Compiled 1954 to 1183 computations (39.5% saved)

Details

analyze636.0ms (6.7%)

sample40.0ms (0.4%)

simplify120.0ms (1.3%)

prune5.0ms (0.1%)

localize6.0ms (0.1%)

rewrite37.0ms (0.4%)

series326.0ms (3.4%)

simplify89.0ms (0.9%)

prune15.0ms (0.2%)

localize10.0ms (0.1%)

rewrite87.0ms (0.9%)

series977.0ms (10.3%)

simplify112.0ms (1.2%)

prune71.0ms (0.7%)

localize15.0ms (0.2%)

rewrite68.0ms (0.7%)

series1.0s (10.6%)

simplify95.0ms (1%)

prune46.0ms (0.5%)

localize10.0ms (0.1%)

rewrite201.0ms (2.1%)

series1.5s (15.7%)

simplify166.0ms (1.8%)

prune111.0ms (1.2%)

regimes930.0ms (9.8%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample2.8s (29.5%)

Profiling