Details

analyze574.0ms (5.6%)

Algorithm

1×	search
2×	egg-herbie

Rules

570×	`neg-mul-1_binary64_756`
442×	`div-sub_binary64_765`
428×	`unswap-sqr_binary64_728`
418×	`associate-/l*_binary64_705`
306×	`associate-l_binary64_701`
304×	`distribute-rgt-in_binary64_710`
286×	`associate-/r*_binary64_704`
278×	`distribute-frac-neg_binary64_723`
228×	`associate-/l/_binary64_707`
210×	`associate-r_binary64_700`
205×	`*-commutative_binary64_691`
188×	`distribute-rgt-neg-out_binary64_720`
154×	`associate-/r/_binary64_706`
134×	`associate-*r/_binary64_702`
116×	`distribute-lft-neg-out_binary64_719`
106×	`associate-*l/_binary64_703`
70×	`sub-neg_binary64_753`
64×	`distribute-lft-in_binary64_709`
56×	`neg-sub0_binary64_755`
50×	`sqr-pow_binary64_732`
36×	`cube-prod_binary64_788`
30×	`*-lft-identity_binary64_749` `pow-sqr_binary64_733` `distribute-neg-frac_binary64_724`
24×	`+-commutative_binary64_690`
22×	`/-rgt-identity_binary64_751`
20×	`pow-plus_binary64_823`
18×	`distribute-lft-neg-in_binary64_717`
14×	`unsub-neg_binary64_754` `distribute-rgt-neg-in_binary64_718`
12×	`*-rgt-identity_binary64_750` `sub0-neg_binary64_747`
10×	`cube-unmult_binary64_797` `associate-+l-_binary64_695`
8×	`unpow3_binary64_826`
4×	`unpow2_binary64_825` `cube-mult_binary64_790` `--rgt-identity_binary64_746` `associate-+l+_binary64_693`
2×	`unpow1_binary64_818` `remove-double-div_binary64_736` `associate--r+_binary64_696` `associate-+r+_binary64_692`
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` `unpow1/2_binary64_824` `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-div_binary64_789` `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` `times-frac_binary64_766` `mul-1-neg_binary64_752` `remove-double-neg_binary64_748` `+-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` `difference-of-sqr--1_binary64_731` `difference-of-sqr-1_binary64_730` `difference-of-squares_binary64_729` `swap-sqr_binary64_727` `cancel-sign-sub-inv_binary64_726` `cancel-sign-sub_binary64_725` `distribute-neg-out_binary64_722` `distribute-neg-in_binary64_721` `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_698` `associate--l+_binary64_697` `associate-+r-_binary64_694`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	50
1	52	44
2	113	44
3	232	44
4	507	44
5	1156	44
6	2424	44
7	4691	44
8	4942	44
0	2	2
1	2	2

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	50%	50%	2
0%	50%	50%	3
0%	50%	50%	4
12.5%	37.5%	50%	5
15.6%	31.2%	53.2%	6
17.2%	26.5%	56.3%	7
18%	22.6%	59.4%	8
18.3%	19.9%	61.8%	9
18.5%	17.8%	63.7%	10
18.6%	16.3%	65.1%	11
18.7%	15.2%	66.1%	12
18.7%	14.4%	66.9%	13
18.7%	13.8%	67.4%	14

Compiler

Compiled 17 to 16 computations (5.9% saved)

sample93.0ms (0.9%)

Algorithm

1×

intervals

Results

26.0ms	47×	body	1024	nan
19.0ms	256×	body	128	valid
12.0ms	89×	body	128	overflowed
11.0ms	32×	body	512	nan
3.0ms	16×	body	256	nan
2.0ms	44×	body	128	nan
1.0ms	6×	body	128	invalid

Compiler

Compiled 33 to 33 computations (0% saved)

simplify53.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

788×	`neg-mul-1_binary64_756`
672×	`associate-/l*_binary64_705`
625×	`associate-/r*_binary64_704`
480×	`div-sub_binary64_765`
445×	`distribute-frac-neg_binary64_723`
288×	`distribute-rgt-neg-out_binary64_720`
267×	`associate-*r/_binary64_702`
257×	`associate-*l/_binary64_703`
235×	`distribute-lft-neg-out_binary64_719`
214×	`unswap-sqr_binary64_728`
164×	`*-commutative_binary64_691`
153×	`associate-l_binary64_701`
150×	`distribute-rgt-in_binary64_710`
125×	`distribute-lft-in_binary64_709`
115×	`associate-/l/_binary64_707`
105×	`associate-r_binary64_700`
77×	`associate-/r/_binary64_706`
76×	`sub-neg_binary64_753`
68×	`neg-sub0_binary64_755`
40×	`*-lft-identity_binary64_749`
38×	`sqr-pow_binary64_732`
27×	`cube-prod_binary64_788`
25×	`*-rgt-identity_binary64_750`
21×	`pow-sqr_binary64_733`
20×	`unsub-neg_binary64_754`
18×	`/-rgt-identity_binary64_751`
17×	`+-commutative_binary64_690`
15×	`pow-plus_binary64_823` `distribute-neg-frac_binary64_724`
12×	`associate-+l-_binary64_695`
9×	`unpow3_binary64_826` `distribute-lft-neg-in_binary64_717`
7×	`sub0-neg_binary64_747` `distribute-rgt-neg-in_binary64_718`
6×	`cube-unmult_binary64_797` `cube-mult_binary64_790`
4×	`unpow2_binary64_825`
3×	`--rgt-identity_binary64_746` `remove-double-div_binary64_736` `associate--r+_binary64_696` `associate-+l+_binary64_693`
2×	`unpow1_binary64_818`
1×	`unpow1/2_binary64_824` `1-exp_binary64_804` `associate-+r+_binary64_692`
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-div_binary64_789` `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` `times-frac_binary64_766` `mul-1-neg_binary64_752` `remove-double-neg_binary64_748` `+-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` `difference-of-sqr--1_binary64_731` `difference-of-sqr-1_binary64_730` `difference-of-squares_binary64_729` `swap-sqr_binary64_727` `cancel-sign-sub-inv_binary64_726` `cancel-sign-sub_binary64_725` `distribute-neg-out_binary64_722` `distribute-neg-in_binary64_721` `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_698` `associate--l+_binary64_697` `associate-+r-_binary64_694`

Counts

1 → 1

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	25
1	32	22
2	65	22
3	128	22
4	277	22
5	623	22
6	1296	22
7	3024	22
8	4691	22
9	4933	22

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 44 to 41 computations (6.8% saved)

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.2b	(/.f64 (pow.f64 (.f64 (.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 k))
0.3b	(pow.f64 (.f64 (.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))
0.3b	(.f64 (.f64 2 PI.f64) n)

rewrite245.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

48×	`times-frac_binary64_766`
42×	`add-sqr-sqrt_binary64_782` `*-un-lft-identity_binary64_760`
33×	`add-cube-cbrt_binary64_795`
26×	`add-exp-log_binary64_798`
22×	`pow-unpow_binary64_837`
18×	`sqrt-prod_binary64_776`
14×	`pow1_binary64_821`
10×	`add-cbrt-cube_binary64_796`
9×	`prod-exp_binary64_809`
8×	`unpow-prod-down_binary64_839` `sqr-pow_binary64_732`
6×	`pow-prod-down_binary64_831` `difference-of-squares_binary64_729` `pow-exp_binary64_828` `associate-/r*_binary64_704`
5×	`div-exp_binary64_811` `associate-/l*_binary64_705`
3×	`add-log-exp_binary64_799` `cbrt-unprod_binary64_793` `associate-r_binary64_700` `distribute-lft-out--_binary64_712` `pow-pow_binary64_832`
2×	`div-inv_binary64_757` `div-sub_binary64_765` `pow-sub_binary64_836` `pow-to-exp_binary64_829`
1×	`associate-l_binary64_701` `*-commutative_binary64_691` `cbrt-undiv_binary64_794` `frac-2neg_binary64_771` `clear-num_binary64_759` `associate-/l/_binary64_707`

Counts

3 → 115

Calls

3 calls:

10.0ms	(pow.f64 (.f64 (.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))
7.0ms	(/.f64 (pow.f64 (.f64 (.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 k))
5.0ms	(.f64 (.f64 2 PI.f64) n)

Compiler

Compiled 2834 to 1916 computations (32.4% saved)

series651.0ms (6.4%)

Error

0.2b

Counts

3 → 18

Calls

3 calls:

313.0ms	(/.f64 (pow.f64 (.f64 (.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 k))
269.0ms	(pow.f64 (.f64 (.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))
43.0ms	(.f64 (.f64 2 PI.f64) n)

Compiler

Compiled 1100 to 864 computations (21.5% saved)

simplify164.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

540×	`distribute-rgt-in_binary64_710`
536×	`distribute-lft-in_binary64_709`
199×	`associate-/l/_binary64_707`
169×	`associate-l_binary64_701`
149×	`exp-prod_binary64_812`
143×	`times-frac_binary64_766`
142×	`associate-r_binary64_700`
116×	`sqr-pow_binary64_732`
108×	`cancel-sign-sub-inv_binary64_726`
97×	`*-commutative_binary64_691`
82×	`associate-/r/_binary64_706`
78×	`log-pow_binary64_849`
74×	`log-prod_binary64_846`
56×	`associate-/l*_binary64_705`
53×	`distribute-rgt-neg-in_binary64_718` `distribute-lft-neg-in_binary64_717`
43×	`pow-sqr_binary64_733`
37×	`unswap-sqr_binary64_728`
36×	`sub-neg_binary64_753`
32×	`exp-sum_binary64_806`
22×	`exp-to-pow_binary64_822`
20×	`-rgt-identity_binary64_750` `associate-/r_binary64_704`
18×	`log-div_binary64_847` `cube-prod_binary64_788` `distribute-lft-neg-out_binary64_719`
17×	`neg-mul-1_binary64_756` `neg-sub0_binary64_755`
16×	`swap-sqr_binary64_727` `distribute-rgt-neg-out_binary64_720`
15×	`unpow3_binary64_826`
14×	`-lft-identity_binary64_749` `associate-l/_binary64_703` `associate-*r/_binary64_702` `+-commutative_binary64_690`
13×	`distribute-lft-out--_binary64_712`
11×	`cube-unmult_binary64_797`
10×	`exp-diff_binary64_808` `/-rgt-identity_binary64_751`
9×	`unpow1/2_binary64_824` `associate--l+_binary64_697`
8×	`pow-plus_binary64_823` `div-sub_binary64_765` `unsub-neg_binary64_754`
6×	`distribute-neg-frac_binary64_724`
5×	`prod-exp_binary64_809` `distribute-rgt-out_binary64_713` `associate-+l+_binary64_693`
4×	`unpow1_binary64_818` `rem-sqrt-square_binary64_773` `distribute-neg-in_binary64_721` `distribute-rgt-out--_binary64_714` `associate--r+_binary64_696`
3×	`log-rec_binary64_848` `exp-lft-sqr_binary64_815` `cube-div_binary64_789` `distribute-lft-out_binary64_711`
2×	`unpow2_binary64_825` `cube-mult_binary64_790` `count-2_binary64_708` `associate--r-_binary64_699`
1×	`1-exp_binary64_804` `exp-1-e_binary64_803` `rem-square-sqrt_binary64_772` `remove-double-neg_binary64_748` `associate-+r+_binary64_692`
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` `unpow1/3_binary64_827` `pow-base-1_binary64_820` `unpow0_binary64_819` `unpow-1_binary64_817` `exp-lft-cube_binary64_816` `exp-cbrt_binary64_814` `exp-sqrt_binary64_813` `div-exp_binary64_811` `rec-exp_binary64_810` `exp-neg_binary64_807` `e-exp-1_binary64_805` `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` `mul-1-neg_binary64_752` `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_binary64_725` `distribute-frac-neg_binary64_723` `distribute-neg-out_binary64_722` `distribute-rgt1-in_binary64_716` `distribute-lft1-in_binary64_715` `associate--l-_binary64_698` `associate-+l-_binary64_695` `associate-+r-_binary64_694`

Counts

133 → 119

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	238	3711
1	512	3530
2	1621	3389
3	4700	3385
4	4972	3385
5	4969	3385

prune201.0ms (2%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	110	9	119
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	112	9	121

Error

0.0b

Counts

121 → 9

Compiler

Compiled 2868 to 1808 computations (37% saved)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(pow.f64 (.f64 (.f64 2 PI.f64) n) (/.f64 1 2))
0.2b	(/.f64 (pow.f64 (.f64 (.f64 2 PI.f64) n) (/.f64 1 2)) (.f64 (sqrt.f64 k) (pow.f64 (.f64 2 (*.f64 n PI.f64)) (/.f64 k 2))))
0.3b	(*.f64 n PI.f64)
0.3b	(.f64 (.f64 2 PI.f64) n)

rewrite235.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

124×	`add-exp-log_binary64_798`
65×	`prod-exp_binary64_809`
36×	`pow-exp_binary64_828`
30×	`div-exp_binary64_811`
18×	`add-sqr-sqrt_binary64_782`
17×	`pow1_binary64_821`
16×	`add-cbrt-cube_binary64_796` `add-cube-cbrt_binary64_795` `*-un-lft-identity_binary64_760`
14×	`times-frac_binary64_766`
13×	`pow-unpow_binary64_837`
12×	`pow-to-exp_binary64_829`
7×	`pow-prod-down_binary64_831`
6×	`associate-r_binary64_700`
5×	`cbrt-unprod_binary64_793` `associate-/l*_binary64_705`
4×	`add-log-exp_binary64_799` `associate-l_binary64_701`
3×	`unpow-prod-down_binary64_839` `sqr-pow_binary64_732` `pow-pow_binary64_832`
2×	`*-commutative_binary64_691` `cbrt-undiv_binary64_794` `div-inv_binary64_757`
1×	`unswap-sqr_binary64_728` `frac-2neg_binary64_771` `clear-num_binary64_759` `associate-/r*_binary64_704`

Counts

4 → 118

Calls

4 calls:

9.0ms	(/.f64 (pow.f64 (.f64 (.f64 2 PI.f64) n) (/.f64 1 2)) (.f64 (sqrt.f64 k) (pow.f64 (.f64 2 (*.f64 n PI.f64)) (/.f64 k 2))))
7.0ms	(pow.f64 (.f64 (.f64 2 PI.f64) n) (/.f64 1 2))
5.0ms	(.f64 (.f64 2 PI.f64) n)
4.0ms	(*.f64 n PI.f64)

Compiler

Compiled 3457 to 2289 computations (33.8% saved)

series454.0ms (4.4%)

Error

0.0b

Counts

4 → 15

Calls

4 calls:

215.0ms	(/.f64 (pow.f64 (.f64 (.f64 2 PI.f64) n) (/.f64 1 2)) (.f64 (sqrt.f64 k) (pow.f64 (.f64 2 (*.f64 n PI.f64)) (/.f64 k 2))))
139.0ms	(pow.f64 (.f64 (.f64 2 PI.f64) n) (/.f64 1 2))
45.0ms	(.f64 (.f64 2 PI.f64) n)
37.0ms	(*.f64 n PI.f64)

Compiler

Compiled 1100 to 849 computations (22.8% saved)

simplify114.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

612×	`associate-/r*_binary64_704`
265×	`associate-*l/_binary64_703`
245×	`associate-*r/_binary64_702`
234×	`associate-/l/_binary64_707`
190×	`associate-l_binary64_701`
171×	`exp-prod_binary64_812`
161×	`associate-r_binary64_700`
159×	`distribute-rgt-in_binary64_710`
153×	`distribute-lft-in_binary64_709`
117×	`times-frac_binary64_766`
104×	`associate-/r/_binary64_706`
102×	`*-commutative_binary64_691`
97×	`associate-/l*_binary64_705`
91×	`log-prod_binary64_846`
86×	`sqr-pow_binary64_732`
60×	`unswap-sqr_binary64_728`
58×	`log-div_binary64_847`
55×	`exp-sum_binary64_806`
48×	`associate--l+_binary64_697`
45×	`associate--r+_binary64_696`
39×	`sub-neg_binary64_753`
31×	`swap-sqr_binary64_727`
28×	`pow-sqr_binary64_733`
27×	`exp-to-pow_binary64_822`
25×	`distribute-neg-in_binary64_721`
23×	`log-pow_binary64_849`
19×	`unpow3_binary64_826` `cube-prod_binary64_788` `cancel-sign-sub-inv_binary64_726`
15×	`neg-mul-1_binary64_756` `neg-sub0_binary64_755` `distribute-rgt-neg-in_binary64_718`
13×	`cube-unmult_binary64_797` `*-rgt-identity_binary64_750` `distribute-lft-neg-in_binary64_717` `+-commutative_binary64_690`
12×	`unpow1/2_binary64_824` `associate--r-_binary64_699`
11×	`distribute-lft-neg-out_binary64_719`
9×	`unsub-neg_binary64_754`
8×	`*-lft-identity_binary64_749` `distribute-rgt-neg-out_binary64_720`
7×	`associate-+l+_binary64_693`
6×	`pow-plus_binary64_823` `associate-+l-_binary64_695`
5×	`distribute-neg-frac_binary64_724`
4×	`cube-div_binary64_789` `rem-sqrt-square_binary64_773` `distribute-rgt-out_binary64_713`
3×	`exp-lft-sqr_binary64_815` `prod-exp_binary64_809` `div-sub_binary64_765` `count-2_binary64_708`
2×	`exp-diff_binary64_808` `/-rgt-identity_binary64_751` `distribute-lft-out_binary64_711` `associate-+r+_binary64_692`
1×	`log-rec_binary64_848` `unpow1_binary64_818` `1-exp_binary64_804` `exp-1-e_binary64_803` `rem-square-sqrt_binary64_772` `mul-1-neg_binary64_752` `remove-double-neg_binary64_748` `distribute-rgt-out--_binary64_714`
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` `unpow1/3_binary64_827` `unpow2_binary64_825` `pow-base-1_binary64_820` `unpow0_binary64_819` `unpow-1_binary64_817` `exp-lft-cube_binary64_816` `exp-cbrt_binary64_814` `exp-sqrt_binary64_813` `div-exp_binary64_811` `rec-exp_binary64_810` `exp-neg_binary64_807` `e-exp-1_binary64_805` `exp-0_binary64_802` `rem-log-exp_binary64_801` `rem-exp-log_binary64_800` `cube-mult_binary64_790` `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` `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_binary64_725` `distribute-frac-neg_binary64_723` `distribute-neg-out_binary64_722` `distribute-rgt1-in_binary64_716` `distribute-lft1-in_binary64_715` `distribute-lft-out--_binary64_712` `associate--l-_binary64_698` `associate-+r-_binary64_694`

Counts

133 → 105

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	220	3021
1	449	2735
2	1670	2500
3	4736	2500
4	4999	2500

prune149.0ms (1.5%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	103	2	105
Fresh	1	7	8
Picked	1	0	1
Done	0	0	0
Total	105	9	114

Error

Counts

114 → 9

Compiler

Compiled 2605 to 1631 computations (37.4% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(sqrt.f64 (.f64 2 (.f64 n PI.f64)))
0.3b	(*.f64 n PI.f64)
0.3b	(*.f64 n PI.f64)
0.3b	(/.f64 (sqrt.f64 (.f64 2 (.f64 n PI.f64))) (sqrt.f64 k))

rewrite157.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

29×	`add-sqr-sqrt_binary64_782`
25×	`add-cube-cbrt_binary64_795` `*-un-lft-identity_binary64_760`
24×	`times-frac_binary64_766`
23×	`sqrt-prod_binary64_776`
14×	`pow1_binary64_821`
10×	`add-exp-log_binary64_798` `add-cbrt-cube_binary64_796`
6×	`associate-/r_binary64_704` `associate-l_binary64_701` `associate-r*_binary64_700`
5×	`pow-prod-down_binary64_831`
4×	`add-log-exp_binary64_799` `associate-/l*_binary64_705`
3×	`sqrt-pow1_binary64_778`
2×	`prod-exp_binary64_809` `cbrt-unprod_binary64_793` `unswap-sqr_binary64_728` `*-commutative_binary64_691`
1×	`div-exp_binary64_811` `cbrt-undiv_binary64_794` `sqrt-undiv_binary64_781` `frac-2neg_binary64_771` `clear-num_binary64_759` `div-inv_binary64_757` `pow1/2_binary64_840`

Counts

4 → 95

Calls

4 calls:

8.0ms	(/.f64 (sqrt.f64 (.f64 2 (.f64 n PI.f64))) (sqrt.f64 k))
4.0ms	(*.f64 n PI.f64)
4.0ms	(*.f64 n PI.f64)
4.0ms	(sqrt.f64 (.f64 2 (.f64 n PI.f64)))

Compiler

Compiled 2485 to 1302 computations (47.6% saved)

series200.0ms (2%)

Error

Counts

4 → 15

Calls

4 calls:

93.0ms	(/.f64 (sqrt.f64 (.f64 2 (.f64 n PI.f64))) (sqrt.f64 k))
32.0ms	(sqrt.f64 (.f64 2 (.f64 n PI.f64)))
32.0ms	(*.f64 n PI.f64)
27.0ms	(*.f64 n PI.f64)

Compiler

Compiled 986 to 740 computations (24.9% saved)

simplify178.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

535×	`associate-/r*_binary64_704`
524×	`associate-/r/_binary64_706`
397×	`associate-*l/_binary64_703`
363×	`sub-neg_binary64_753`
353×	`div-sub_binary64_765`
252×	`associate-*r/_binary64_702`
224×	`associate-/l*_binary64_705`
220×	`cancel-sign-sub-inv_binary64_726`
196×	`*-commutative_binary64_691`
186×	`associate-l_binary64_701`
172×	`pow-sqr_binary64_733`
171×	`sqr-pow_binary64_732`
151×	`associate--l-_binary64_698`
147×	`times-frac_binary64_766`
129×	`associate-r_binary64_700`
106×	`distribute-rgt-in_binary64_710`
104×	`unsub-neg_binary64_754`
87×	`unswap-sqr_binary64_728`
86×	`div0_binary64_741`
77×	`associate-/l/_binary64_707`
76×	`rem-sqrt-square_binary64_773`
73×	`distribute-lft-in_binary64_709`
70×	`neg-mul-1_binary64_756`
69×	`neg-sub0_binary64_755`
61×	`mul0-rgt_binary64_743` `mul0-lft_binary64_742`
59×	`associate--r+_binary64_696`
57×	`associate-+l+_binary64_693`
55×	`associate--r-_binary64_699`
54×	`*-rgt-identity_binary64_750`
43×	`*-lft-identity_binary64_749`
42×	`+-rgt-identity_binary64_745`
41×	`associate--l+_binary64_697`
38×	`distribute-neg-in_binary64_721`
34×	`/-rgt-identity_binary64_751`
29×	`associate-+l-_binary64_695`
27×	`+-commutative_binary64_690`
23×	`associate-+r+_binary64_692`
20×	`associate-+r-_binary64_694`
15×	`log-prod_binary64_846`
14×	`exp-prod_binary64_812`
11×	`distribute-rgt-neg-in_binary64_718` `distribute-lft-neg-in_binary64_717`
9×	`distribute-rgt-out_binary64_713`
8×	`remove-double-neg_binary64_748` `+-lft-identity_binary64_744`
7×	`log-div_binary64_847` `cube-prod_binary64_788` `distribute-lft-out--_binary64_712` `distribute-lft-out_binary64_711`
6×	`cube-unmult_binary64_797` `--rgt-identity_binary64_746` `distribute-rgt-out--_binary64_714`
5×	`unpow1/2_binary64_824` `cube-div_binary64_789`
4×	`sub0-neg_binary64_747` `swap-sqr_binary64_727` `distribute-neg-out_binary64_722`
3×	`exp-sum_binary64_806` `distribute-rgt1-in_binary64_716`
2×	`exp-diff_binary64_808` `rem-square-sqrt_binary64_772` `remove-double-div_binary64_736` `distribute-neg-frac_binary64_724` `distribute-lft-neg-out_binary64_719` `distribute-lft1-in_binary64_715`
1×	`1-exp_binary64_804` `exp-1-e_binary64_803` `+-inverses_binary64_739` `distribute-rgt-neg-out_binary64_720` `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` `log-rec_binary64_848` `pow-base-0_binary64_844` `unpow1/3_binary64_827` `unpow3_binary64_826` `unpow2_binary64_825` `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` `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` `cube-mult_binary64_790` `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` `mul-1-neg_binary64_752` `*-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-frac-neg_binary64_723`

Counts

110 → 34

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	121	1821
1	213	1708
2	544	1708
3	1451	1708
4	2859	1708
5	3058	1708
6	3964	1708
7	4492	1708
8	4855	1708
9	4822	1708

prune54.0ms (0.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	33	1	34
Fresh	3	5	8
Picked	0	1	1
Done	0	0	0
Total	36	7	43

Error

Counts

43 → 7

Compiler

Compiled 951 to 559 computations (41.2% saved)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(*.f64 n PI.f64)
0.3b	(*.f64 n PI.f64)
0.4b	(/.f64 (sqrt.f64 (*.f64 n PI.f64)) (sqrt.f64 k))
0.5b	(.f64 (sqrt.f64 2) (/.f64 (sqrt.f64 (.f64 n PI.f64)) (sqrt.f64 k)))

rewrite245.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

62×	`add-sqr-sqrt_binary64_782`
52×	`times-frac_binary64_766`
48×	`sqrt-prod_binary64_776`
42×	`add-cube-cbrt_binary64_795` `*-un-lft-identity_binary64_760`
34×	`associate-r_binary64_700`
15×	`add-exp-log_binary64_798` `add-cbrt-cube_binary64_796`
12×	`associate-l_binary64_701`
10×	`pow1_binary64_821`
8×	`unswap-sqr_binary64_728`
6×	`associate-/r*_binary64_704`
4×	`prod-exp_binary64_809` `add-log-exp_binary64_799` `cbrt-unprod_binary64_793` `associate-/l*_binary64_705`
3×	`pow-prod-down_binary64_831` `*-commutative_binary64_691`
2×	`div-exp_binary64_811` `cbrt-undiv_binary64_794` `sqrt-undiv_binary64_781` `div-inv_binary64_757`
1×	`sqrt-unprod_binary64_780` `associate-*r/_binary64_702` `frac-2neg_binary64_771` `clear-num_binary64_759`

Counts

4 → 138

Calls

4 calls:

14.0ms	(.f64 (sqrt.f64 2) (/.f64 (sqrt.f64 (.f64 n PI.f64)) (sqrt.f64 k)))
6.0ms	(/.f64 (sqrt.f64 (*.f64 n PI.f64)) (sqrt.f64 k))
4.0ms	(*.f64 n PI.f64)
4.0ms	(*.f64 n PI.f64)

Compiler

Compiled 3875 to 1669 computations (56.9% saved)

series266.0ms (2.6%)

Error

Counts

4 → 18

Calls

4 calls:

105.0ms	(.f64 (sqrt.f64 2) (/.f64 (sqrt.f64 (.f64 n PI.f64)) (sqrt.f64 k)))
75.0ms	(/.f64 (sqrt.f64 (*.f64 n PI.f64)) (sqrt.f64 k))
33.0ms	(*.f64 n PI.f64)
33.0ms	(*.f64 n PI.f64)

Compiler

Compiled 1248 to 925 computations (25.9% saved)

simplify188.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

440×	`associate-/l*_binary64_705`
357×	`sub-neg_binary64_753`
313×	`times-frac_binary64_766`
285×	`associate-*l/_binary64_703`
282×	`div-sub_binary64_765`
279×	`associate-*r/_binary64_702`
269×	`associate--l-_binary64_698`
246×	`cancel-sign-sub-inv_binary64_726`
230×	`*-commutative_binary64_691`
180×	`associate-+l-_binary64_695`
176×	`distribute-neg-in_binary64_721`
169×	`sqr-pow_binary64_732`
157×	`associate-/r*_binary64_704`
149×	`unsub-neg_binary64_754`
143×	`associate-/l/_binary64_707`
141×	`associate-l_binary64_701`
127×	`associate-+r+_binary64_692`
121×	`associate-r_binary64_700`
109×	`associate-/r/_binary64_706` `associate--r+_binary64_696`
81×	`associate--r-_binary64_699`
64×	`*-lft-identity_binary64_749`
60×	`*-rgt-identity_binary64_750`
54×	`pow-sqr_binary64_733`
47×	`log-div_binary64_847`
44×	`neg-mul-1_binary64_756` `associate-+r-_binary64_694` `associate-+l+_binary64_693`
43×	`rem-sqrt-square_binary64_773`
41×	`cube-div_binary64_789` `neg-sub0_binary64_755`
39×	`/-rgt-identity_binary64_751`
34×	`log-prod_binary64_846`
33×	`unswap-sqr_binary64_728` `associate--l+_binary64_697`
31×	`distribute-neg-out_binary64_722`
28×	`distribute-rgt-in_binary64_710`
27×	`exp-prod_binary64_812` `+-commutative_binary64_690`
25×	`cube-prod_binary64_788`
18×	`distribute-lft-in_binary64_709`
17×	`swap-sqr_binary64_727`
16×	`log-rec_binary64_848`
15×	`unpow3_binary64_826`
13×	`cube-mult_binary64_790`
12×	`remove-double-neg_binary64_748` `--rgt-identity_binary64_746`
8×	`unpow1/2_binary64_824` `remove-double-div_binary64_736`
7×	`cube-unmult_binary64_797`
5×	`+-rgt-identity_binary64_745` `distribute-lft-neg-in_binary64_717`
4×	`exp-diff_binary64_808` `+-lft-identity_binary64_744`
3×	`rem-square-sqrt_binary64_772` `+-inverses_binary64_739` `distribute-lft-neg-out_binary64_719` `distribute-rgt-neg-in_binary64_718`
2×	`pow-plus_binary64_823` `sub0-neg_binary64_747` `distribute-neg-frac_binary64_724` `distribute-rgt-neg-out_binary64_720` `distribute-rgt1-in_binary64_716` `distribute-lft1-in_binary64_715` `distribute-rgt-out--_binary64_714` `distribute-rgt-out_binary64_713` `count-2_binary64_708`
1×	`log-pow_binary64_849` `unpow2_binary64_825` `unpow1_binary64_818` `exp-sum_binary64_806` `1-exp_binary64_804` `exp-1-e_binary64_803` `distribute-lft-out_binary64_711`
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` `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` `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` `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` `mul-1-neg_binary64_752` `mul0-rgt_binary64_743` `mul0-lft_binary64_742` `div0_binary64_741` `*-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-frac-neg_binary64_723` `distribute-lft-out--_binary64_712`

Counts

156 → 57

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	166	2783
1	341	2602
2	1073	2602
3	2794	2602
4	3035	2602
5	3792	2602
6	4629	2602
7	4971	2602

prune76.0ms (0.7%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	57	0	57
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	57	7	64

Error

Counts

64 → 7

Compiler

Compiled 1422 to 656 computations (53.9% saved)

regimes1.2s (11.8%)

Accuracy

Total 0.4b remaining (99.9%)

Threshold costs 0.4b (99.9%)

Compiler

Compiled 11452 to 9357 computations (18.3% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

4×	`*-commutative_binary64_691`
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` `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` `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_690`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	32
1	24	32
2	22	32

end0.0ms (0%)

sample4.7s (45.5%)

Algorithm

1×

intervals

Results

635.0ms	8000×	body	128	valid
601.0ms	1334×	body	1024	nan
339.0ms	2309×	body	128	overflowed
207.0ms	667×	body	512	nan
52.0ms	302×	body	256	nan
52.0ms	957×	body	128	nan
24.0ms	209×	body	128	invalid

Compiler

Compiled 2637 to 2154 computations (18.3% saved)

Details

analyze574.0ms (5.6%)

sample93.0ms (0.9%)

simplify53.0ms (0.5%)

prune5.0ms (0.1%)

localize11.0ms (0.1%)

rewrite245.0ms (2.4%)

series651.0ms (6.4%)

simplify164.0ms (1.6%)

prune201.0ms (2%)

localize16.0ms (0.2%)

rewrite235.0ms (2.3%)

series454.0ms (4.4%)

simplify114.0ms (1.1%)

prune149.0ms (1.5%)

localize11.0ms (0.1%)

rewrite157.0ms (1.5%)

series200.0ms (2%)

simplify178.0ms (1.7%)

prune54.0ms (0.5%)

localize16.0ms (0.2%)

rewrite245.0ms (2.4%)

series266.0ms (2.6%)

simplify188.0ms (1.8%)

prune76.0ms (0.7%)

regimes1.2s (11.8%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample4.7s (45.5%)

Profiling