Details

analyze2.5s (16.8%)

Algorithm

1×	search
2×	egg-herbie

Rules

584×	`exp-prod_binary64_812`
582×	`exp-sum_binary64_806`
397×	`sub-neg_binary64_753`
308×	`exp-diff_binary64_808`
164×	`distribute-rgt-in_binary64_710`
152×	`times-frac_binary64_766`
144×	`distribute-lft-in_binary64_709`
130×	`neg-mul-1_binary64_756`
128×	`unsub-neg_binary64_754`
117×	`neg-sub0_binary64_755`
108×	`*-commutative_binary64_691`
107×	`+-commutative_binary64_690`
102×	`associate-+r-_binary64_694`
85×	`associate-r_binary64_700`
80×	`associate-+l-_binary64_695`
76×	`associate-l_binary64_701`
66×	`distribute-neg-in_binary64_721`
61×	`associate--r+_binary64_696`
53×	`associate-+l+_binary64_693`
44×	`associate-+r+_binary64_692`
41×	`associate-/l_binary64_705` `associate-l/_binary64_703`
40×	`associate-/r/_binary64_706`
37×	`sqr-pow_binary64_732`
33×	`associate--r-_binary64_699`
32×	`associate--l-_binary64_698` `associate--l+_binary64_697`
31×	`cancel-sign-sub-inv_binary64_726`
30×	`associate-*r/_binary64_702`
27×	`exp-neg_binary64_807`
26×	`distribute-lft-neg-in_binary64_717`
25×	`exp-sqrt_binary64_813`
22×	`distribute-neg-out_binary64_722` `associate-/r*_binary64_704`
21×	`div-exp_binary64_811` `sub0-neg_binary64_747` `distribute-lft-out_binary64_711`
18×	`distribute-rgt-neg-in_binary64_718`
11×	`prod-exp_binary64_809` `associate-/l/_binary64_707`
10×	`unpow2_binary64_825`
9×	`unpow3_binary64_826` `unpow1/2_binary64_824` `pow-plus_binary64_823` `unpow1_binary64_818` `cube-unmult_binary64_797` `rem-sqrt-square_binary64_773` `distribute-rgt-neg-out_binary64_720` `distribute-lft-neg-out_binary64_719`
8×	`remove-double-neg_binary64_748`
5×	`sqr-neg_binary64_774`
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` `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` `rec-exp_binary64_810` `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-mult_binary64_790` `cube-div_binary64_789` `cube-prod_binary64_788` `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` `rem-square-sqrt_binary64_772` `div-sub_binary64_765` `mul-1-neg_binary64_752` `/-rgt-identity_binary64_751` `-rgt-identity_binary64_750` `-lft-identity_binary64_749` `--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` `pow-sqr_binary64_733` `difference-of-sqr--1_binary64_731` `difference-of-sqr-1_binary64_730` `difference-of-squares_binary64_729` `unswap-sqr_binary64_728` `swap-sqr_binary64_727` `cancel-sign-sub_binary64_725` `distribute-neg-frac_binary64_724` `distribute-frac-neg_binary64_723` `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` `count-2_binary64_708`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	154	495
1	397	495
2	925	473
3	3020	473
4	4898	473
5	5136	473
0	5	5
1	5	5

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
12.5%	87.3%	0.2%	9
12.5%	87.3%	0.2%	10
18.7%	81.1%	0.2%	11
18.7%	81.1%	0.2%	12
18.7%	81.1%	0.2%	13
20.5%	79.3%	0.2%	14

Compiler

Compiled 30 to 24 computations (20% saved)

sample47.0ms (0.3%)

Algorithm

1×

intervals

Results

26.0ms	252×	body	128	valid
1.0ms	2×	body	1024	valid
1.0ms	1×	body	2048	invalid
1.0ms	5×	body	128	invalid
0.0ms	1×	body	1024	invalid
0.0ms	1×	body	512	invalid
0.0ms	1×	body	512	valid
0.0ms	1×	body	256	valid

Compiler

Compiled 59 to 52 computations (11.9% saved)

simplify50.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

604×	`exp-prod_binary64_812`
534×	`exp-sum_binary64_806`
375×	`associate-l_binary64_701`
303×	`associate-r_binary64_700`
251×	`times-frac_binary64_766`
229×	`cancel-sign-sub-inv_binary64_726`
204×	`distribute-rgt-in_binary64_710`
182×	`associate-/l*_binary64_705`
169×	`exp-diff_binary64_808`
164×	`distribute-lft-in_binary64_709`
112×	`associate-/r_binary64_704` `associate-l/_binary64_703`
99×	`sub-neg_binary64_753`
92×	`distribute-neg-in_binary64_721`
87×	`unsub-neg_binary64_754`
86×	`associate-*r/_binary64_702`
74×	`associate--r-_binary64_699`
70×	`associate--l-_binary64_698`
68×	`distribute-rgt-neg-in_binary64_718`
60×	`exp-sqrt_binary64_813`
54×	`distribute-lft-neg-in_binary64_717` `associate-/l/_binary64_707`
52×	`associate-+l+_binary64_693`
48×	`sqr-pow_binary64_732`
47×	`distribute-rgt-neg-out_binary64_720`
44×	`associate-/r/_binary64_706`
43×	`div-exp_binary64_811`
42×	`distribute-lft-neg-out_binary64_719`
41×	`prod-exp_binary64_809`
40×	`neg-mul-1_binary64_756`
39×	`neg-sub0_binary64_755`
38×	`associate--r+_binary64_696`
35×	`associate-+r+_binary64_692`
34×	`*-commutative_binary64_691`
31×	`exp-neg_binary64_807`
30×	`associate--l+_binary64_697`
24×	`+-commutative_binary64_690`
23×	`unswap-sqr_binary64_728`
22×	`distribute-rgt-out_binary64_713`
21×	`distribute-neg-out_binary64_722`
20×	`associate-+l-_binary64_695`
19×	`distribute-rgt-out--_binary64_714` `associate-+r-_binary64_694`
17×	`div-sub_binary64_765`
15×	`distribute-neg-frac_binary64_724`
13×	`rec-exp_binary64_810` `remove-double-neg_binary64_748` `sub0-neg_binary64_747` `distribute-lft-out_binary64_711`
10×	`+-rgt-identity_binary64_745`
7×	`*-lft-identity_binary64_749` `--rgt-identity_binary64_746` `pow-sqr_binary64_733` `swap-sqr_binary64_727` `distribute-lft-out--_binary64_712`
6×	`/-rgt-identity_binary64_751` `distribute-frac-neg_binary64_723`
5×	`pow-plus_binary64_823` `mul0-rgt_binary64_743` `mul0-lft_binary64_742`
4×	`*-rgt-identity_binary64_750`
2×	`cube-unmult_binary64_797` `sqr-neg_binary64_774`
1×	`cos-neg_binary64_891` `unpow2_binary64_825` `unpow1/2_binary64_824` `unpow1_binary64_818` `1-exp_binary64_804` `exp-1-e_binary64_803` `rem-sqrt-square_binary64_773` `mul-1-neg_binary64_752` `cancel-sign-sub_binary64_725`
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` `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` `unpow3_binary64_826` `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` `e-exp-1_binary64_805` `exp-0_binary64_802` `rem-log-exp_binary64_801` `rem-exp-log_binary64_800` `cube-mult_binary64_790` `cube-div_binary64_789` `cube-prod_binary64_788` `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` `rem-square-sqrt_binary64_772` `+-lft-identity_binary64_744` `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` `distribute-rgt1-in_binary64_716` `distribute-lft1-in_binary64_715` `count-2_binary64_708`

Counts

1 → 1

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	22	45
1	56	45
2	121	43
3	355	43
4	1127	43
5	4019	43
6	5097	43

prune6.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

15.7b

Counts

2 → 1

Compiler

Compiled 56 to 44 computations (21.4% saved)

localize25.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l)
0.0b	(*.f64 K (+.f64 m n))
0.0b	(pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)
34.3b	(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))

rewrite332.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Error

15.6b

Rules

16×	`add-sqr-sqrt_binary64_782`
15×	`*-un-lft-identity_binary64_760`
9×	`add-cube-cbrt_binary64_795`
7×	`pow1_binary64_821` `add-exp-log_binary64_798`
6×	`add-log-exp_binary64_799` `add-cbrt-cube_binary64_796` `unpow-prod-down_binary64_839`
4×	`cos-sum_binary64_894` `associate-r_binary64_700`
3×	`cancel-sign-sub-inv_binary64_726` `pow-unpow_binary64_837` `associate-l_binary64_701`
2×	`difference-of-squares_binary64_729` `flip3-+_binary64_763` `associate-*r/_binary64_702` `flip-+_binary64_734` `distribute-lft-out_binary64_711`
1×	`cos-diff_binary64_897` `sub-neg_binary64_753` `times-frac_binary64_766` `distribute-lft-out--_binary64_712` `pow-pow_binary64_832` `pow-to-exp_binary64_829` `pow-exp_binary64_828` `unpow2_binary64_825` `sqr-pow_binary64_732` `pow-prod-down_binary64_831` `prod-exp_binary64_809` `cbrt-unprod_binary64_793` `unswap-sqr_binary64_728` `distribute-rgt-in_binary64_710` `distribute-lft-in_binary64_709` `*-commutative_binary64_691` `sum-log_binary64_851` `+-commutative_binary64_690`

Counts

4 → 68

Calls

4 calls:

15.0ms	(+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l)
11.0ms	(pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)
10.0ms	(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))
7.0ms	(*.f64 K (+.f64 m n))

Compiler

Compiled 2523 to 1267 computations (49.8% saved)

series1.7s (11.8%)

Error

0.7b

Counts

4 → 85

Calls

4 calls:

886.0ms	(+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l)
442.0ms	(pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)
176.0ms	(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))
113.0ms	(*.f64 K (+.f64 m n))

Compiler

Compiled 7523 to 5083 computations (32.4% saved)

simplify145.0ms (1%)

Algorithm

1×	egg-herbie

Rules

396×	`associate-+l+_binary64_693`
375×	`distribute-rgt-in_binary64_710`
372×	`associate--l+_binary64_697`
370×	`unswap-sqr_binary64_728`
358×	`distribute-lft-in_binary64_709`
324×	`sub-neg_binary64_753`
237×	`*-commutative_binary64_691`
221×	`+-commutative_binary64_690`
205×	`associate-+r+_binary64_692`
143×	`log-prod_binary64_846`
127×	`sqr-pow_binary64_732`
126×	`cancel-sign-sub-inv_binary64_726`
93×	`unsub-neg_binary64_754`
91×	`associate-l_binary64_701`
83×	`associate-r_binary64_700`
75×	`associate-+l-_binary64_695`
70×	`associate-+r-_binary64_694`
63×	`exp-prod_binary64_812`
58×	`neg-mul-1_binary64_756`
56×	`neg-sub0_binary64_755`
54×	`associate--r+_binary64_696`
51×	`+-rgt-identity_binary64_745`
43×	`distribute-rgt-neg-in_binary64_718`
36×	`distribute-lft-neg-in_binary64_717`
34×	`exp-sum_binary64_806`
30×	`-rgt-identity_binary64_750` `-lft-identity_binary64_749`
29×	`sub0-neg_binary64_747`
25×	`pow-sqr_binary64_733`
24×	`cube-prod_binary64_788`
23×	`rem-sqrt-square_binary64_773`
22×	`log-pow_binary64_849`
19×	`difference-of-squares_binary64_729`
17×	`distribute-rgt-out_binary64_713` `distribute-lft-out_binary64_711`
15×	`unpow1/2_binary64_824` `cube-unmult_binary64_797`
14×	`unpow2_binary64_825` `unpow1_binary64_818` `distribute-lft-neg-out_binary64_719`
10×	`pow-plus_binary64_823` `swap-sqr_binary64_727`
9×	`mul0-rgt_binary64_743` `mul0-lft_binary64_742` `distribute-rgt-neg-out_binary64_720` `distribute-rgt-out--_binary64_714`
8×	`unpow3_binary64_826`
7×	`cos-neg_binary64_891`
6×	`distribute-neg-in_binary64_721` `associate-/l_binary64_705` `associate-r/_binary64_702`
5×	`sin-neg_binary64_890` `cube-mult_binary64_790` `distribute-lft-out--_binary64_712` `associate-/r/_binary64_706`
4×	`exp-diff_binary64_808` `associate-/l/_binary64_707`
3×	`exp-sqrt_binary64_813` `rem-square-sqrt_binary64_772` `remove-double-neg_binary64_748` `associate-*l/_binary64_703`
2×	`exp-neg_binary64_807` `sqr-neg_binary64_774` `div-sub_binary64_765` `associate-/r*_binary64_704`
1×	`prod-exp_binary64_809` `1-exp_binary64_804` `exp-1-e_binary64_803` `rem-3cbrt-rft_binary64_786` `rem-3cbrt-lft_binary64_785` `/-rgt-identity_binary64_751`
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` `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` `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` `div-exp_binary64_811` `rec-exp_binary64_810` `e-exp-1_binary64_805` `exp-0_binary64_802` `rem-log-exp_binary64_801` `rem-exp-log_binary64_800` `cube-div_binary64_789` `cube-neg_binary64_787` `rem-cbrt-cube_binary64_784` `rem-cube-cbrt_binary64_783` `sqr-abs_binary64_775` `times-frac_binary64_766` `mul-1-neg_binary64_752` `--rgt-identity_binary64_746` `+-lft-identity_binary64_744` `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` `cancel-sign-sub_binary64_725` `distribute-neg-frac_binary64_724` `distribute-frac-neg_binary64_723` `distribute-neg-out_binary64_722` `distribute-rgt1-in_binary64_716` `distribute-lft1-in_binary64_715` `count-2_binary64_708` `associate--r-_binary64_699` `associate--l-_binary64_698`

Counts

153 → 114

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	240	3175
1	591	2861
2	1432	2726
3	3788	2726
4	4939	2726
5	5098	2726

prune172.0ms (1.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	112	2	114
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	113	2	115

Error

0.7b

Counts

115 → 2

Compiler

Compiled 3818 to 1723 computations (54.9% saved)

localize14.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l)
0.0b	(pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)

rewrite78.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

0.7b

Rules

9×	`add-sqr-sqrt_binary64_782`
8×	`*-un-lft-identity_binary64_760`
6×	`unpow-prod-down_binary64_839`
4×	`add-cube-cbrt_binary64_795` `add-log-exp_binary64_799`
3×	`pow-unpow_binary64_837` `pow1_binary64_821` `add-exp-log_binary64_798`
2×	`difference-of-squares_binary64_729` `add-cbrt-cube_binary64_796`
1×	`times-frac_binary64_766` `distribute-lft-out--_binary64_712` `pow-pow_binary64_832` `pow-to-exp_binary64_829` `pow-exp_binary64_828` `unpow2_binary64_825` `sqr-pow_binary64_732` `sum-log_binary64_851` `flip3-+_binary64_763` `flip-+_binary64_734` `distribute-lft-out_binary64_711` `+-commutative_binary64_690`

Counts

2 → 33

Calls

2 calls:

15.0ms	(+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l)
11.0ms	(pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)

Compiler

Compiled 977 to 520 computations (46.8% saved)

series1.4s (9.5%)

Error

0.7b

Counts

2 → 60

Calls

2 calls:

891.0ms	(+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l)
432.0ms	(pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)

Compiler

Compiled 4228 to 2920 computations (30.9% saved)

simplify117.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

515×	`unswap-sqr_binary64_728`
375×	`associate-+l+_binary64_693`
369×	`associate--l+_binary64_697`
286×	`sub-neg_binary64_753`
216×	`log-prod_binary64_846`
196×	`+-commutative_binary64_690`
192×	`associate-+r+_binary64_692`
154×	`associate-l_binary64_701`
152×	`associate-r_binary64_700`
145×	`distribute-rgt-in_binary64_710`
133×	`distribute-lft-in_binary64_709`
110×	`cancel-sign-sub-inv_binary64_726`
97×	`distribute-rgt-neg-in_binary64_718`
93×	`distribute-lft-neg-in_binary64_717`
89×	`sqr-pow_binary64_732`
69×	`*-commutative_binary64_691`
68×	`associate-+l-_binary64_695`
64×	`unsub-neg_binary64_754`
63×	`associate-+r-_binary64_694`
58×	`distribute-lft-neg-out_binary64_719`
54×	`associate--r+_binary64_696`
52×	`distribute-rgt-neg-out_binary64_720`
51×	`exp-prod_binary64_812`
48×	`distribute-neg-in_binary64_721`
44×	`+-rgt-identity_binary64_745`
36×	`neg-sub0_binary64_755`
32×	`cube-prod_binary64_788`
30×	`neg-mul-1_binary64_756`
25×	`log-pow_binary64_849`
23×	`rem-sqrt-square_binary64_773` `sub0-neg_binary64_747`
22×	`cube-unmult_binary64_797`
21×	`pow-plus_binary64_823`
20×	`exp-sum_binary64_806`
18×	`pow-sqr_binary64_733` `swap-sqr_binary64_727`
16×	`distribute-rgt-out_binary64_713`
15×	`difference-of-squares_binary64_729`
14×	`unpow2_binary64_825` `unpow1/2_binary64_824` `unpow1_binary64_818`
13×	`distribute-lft-out_binary64_711`
9×	`distribute-rgt-out--_binary64_714`
6×	`associate-*r/_binary64_702`
5×	`distribute-lft-out--_binary64_712`
4×	`unpow3_binary64_826` `exp-diff_binary64_808`
3×	`exp-sqrt_binary64_813` `cube-mult_binary64_790` `div-sub_binary64_765` `remove-double-neg_binary64_748` `distribute-neg-frac_binary64_724` `distribute-neg-out_binary64_722` `associate-/l/_binary64_707` `associate-*l/_binary64_703`
2×	`exp-neg_binary64_807` `sqr-neg_binary64_774` `rem-square-sqrt_binary64_772` `cancel-sign-sub_binary64_725`
1×	`prod-exp_binary64_809` `1-exp_binary64_804` `rem-3cbrt-rft_binary64_786` `-rgt-identity_binary64_750` `associate-/r/_binary64_706` `associate-/l_binary64_705`
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` `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` `div-exp_binary64_811` `rec-exp_binary64_810` `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-lft_binary64_785` `rem-cbrt-cube_binary64_784` `rem-cube-cbrt_binary64_783` `sqr-abs_binary64_775` `times-frac_binary64_766` `mul-1-neg_binary64_752` `/-rgt-identity_binary64_751` `-lft-identity_binary64_749` `--rgt-identity_binary64_746` `+-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` `distribute-frac-neg_binary64_723` `distribute-rgt1-in_binary64_716` `distribute-lft1-in_binary64_715` `count-2_binary64_708` `associate-/r*_binary64_704` `associate--r-_binary64_699` `associate--l-_binary64_698`

Counts

93 → 83

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	138	2319
1	376	2066
2	879	1931
3	2931	1931
4	4815	1931
5	5112	1931

prune108.0ms (0.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	83	0	83
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	83	2	85

Error

0.7b

Counts

85 → 2

Compiler

Compiled 2198 to 940 computations (57.2% saved)

localize24.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)
0.5b	(cbrt.f64 (pow.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M)) 3))
0.6b	(pow.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M)) 3)
34.3b	(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))

rewrite202.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

0.7b

Rules

18×	`add-sqr-sqrt_binary64_782`
15×	`*-un-lft-identity_binary64_760`
13×	`add-cube-cbrt_binary64_795`
12×	`unpow-prod-down_binary64_839` `cbrt-prod_binary64_791`
6×	`pow1_binary64_821` `add-exp-log_binary64_798` `pow-unpow_binary64_837` `cube-prod_binary64_788`
5×	`add-cbrt-cube_binary64_796`
4×	`cos-sum_binary64_894` `add-log-exp_binary64_799`
3×	`cancel-sign-sub-inv_binary64_726` `sqr-pow_binary64_732`
2×	`pow-pow_binary64_832` `pow-to-exp_binary64_829` `pow-exp_binary64_828` `unpow3_binary64_826` `cube-mult_binary64_790` `difference-of-squares_binary64_729`
1×	`cos-diff_binary64_897` `sub-neg_binary64_753` `rem-cube-cbrt_binary64_783` `pow1/3_binary64_842` `rem-cbrt-cube_binary64_784` `times-frac_binary64_766` `distribute-lft-out--_binary64_712` `unpow2_binary64_825`

Counts

4 → 77

Calls

4 calls:

11.0ms	(pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)
10.0ms	(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))
4.0ms	(pow.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M)) 3)
3.0ms	(cbrt.f64 (pow.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M)) 3))

Compiler

Compiled 3285 to 1784 computations (45.7% saved)

series1.5s (10.3%)

Error

0.7b

Counts

4 → 66

Calls

4 calls:

620.0ms	(pow.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M)) 3)
433.0ms	(pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)
192.0ms	(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))
163.0ms	(cbrt.f64 (pow.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M)) 3))

Compiler

Compiled 6737 to 4761 computations (29.3% saved)

simplify132.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

674×	`associate-l_binary64_701`
616×	`associate-r_binary64_700`
349×	`exp-prod_binary64_812`
319×	`log-prod_binary64_846`
260×	`unswap-sqr_binary64_728`
149×	`associate--l+_binary64_697`
145×	`associate-+l+_binary64_693`
141×	`*-commutative_binary64_691`
123×	`cancel-sign-sub-inv_binary64_726`
120×	`+-commutative_binary64_690`
104×	`sqr-pow_binary64_732`
98×	`distribute-rgt-in_binary64_710`
88×	`distribute-lft-in_binary64_709`
83×	`sub-neg_binary64_753`
77×	`associate-+r+_binary64_692`
71×	`distribute-rgt-neg-in_binary64_718`
63×	`distribute-lft-neg-in_binary64_717`
53×	`pow-plus_binary64_823`
47×	`associate-+l-_binary64_695`
40×	`associate-+r-_binary64_694`
33×	`log-pow_binary64_849`
31×	`distribute-rgt-out_binary64_713`
29×	`cube-prod_binary64_788` `associate--r+_binary64_696`
27×	`unpow3_binary64_826` `swap-sqr_binary64_727`
23×	`neg-mul-1_binary64_756`
21×	`neg-sub0_binary64_755`
18×	`pow-sqr_binary64_733` `distribute-lft-out_binary64_711`
16×	`unpow1/2_binary64_824` `unpow1_binary64_818`
15×	`unpow2_binary64_825`
14×	`distribute-lft-neg-out_binary64_719`
12×	`rem-sqrt-square_binary64_773`
10×	`cube-unmult_binary64_797` `cube-mult_binary64_790` `unsub-neg_binary64_754`
9×	`+-rgt-identity_binary64_745` `associate-*r/_binary64_702`
7×	`distribute-rgt-neg-out_binary64_720` `distribute-rgt-out--_binary64_714`
6×	`associate-/l/_binary64_707`
4×	`exp-sum_binary64_806` `rem-cbrt-cube_binary64_784` `distribute-neg-in_binary64_721` `distribute-lft-out--_binary64_712` `associate-/r/_binary64_706` `associate-/l*_binary64_705`
3×	`cos-neg_binary64_891` `sin-neg_binary64_890` `exp-sqrt_binary64_813` `rem-square-sqrt_binary64_772` `count-2_binary64_708` `associate-*l/_binary64_703`
2×	`exp-diff_binary64_808` `rem-3cbrt-lft_binary64_785`
1×	`1-exp_binary64_804` `rem-3cbrt-rft_binary64_786` `rem-cube-cbrt_binary64_783` `difference-of-squares_binary64_729` `distribute-rgt1-in_binary64_716`
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` `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` `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` `div-exp_binary64_811` `rec-exp_binary64_810` `prod-exp_binary64_809` `exp-neg_binary64_807` `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` `sqr-abs_binary64_775` `sqr-neg_binary64_774` `times-frac_binary64_766` `div-sub_binary64_765` `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` `+-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` `cancel-sign-sub_binary64_725` `distribute-neg-frac_binary64_724` `distribute-frac-neg_binary64_723` `distribute-neg-out_binary64_722` `distribute-lft1-in_binary64_715` `associate-/r_binary64_704` `associate--r-_binary64_699` `associate--l-_binary64_698`

Counts

143 → 111

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	212	3251
1	461	2942
2	1058	2836
3	4182	2833
4	4960	2833

prune196.0ms (1.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	109	2	111
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	110	3	113

Error

0.7b

Counts

113 → 3

Compiler

Compiled 4010 to 2016 computations (49.7% saved)

localize25.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)
0.1b	(exp.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M)))
0.5b	(log.f64 (exp.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))))
34.3b	(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))

rewrite188.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

0.7b

Rules

17×	`add-sqr-sqrt_binary64_782`
14×	`*-un-lft-identity_binary64_760`
12×	`cos-sum_binary64_894` `add-cube-cbrt_binary64_795`
9×	`cancel-sign-sub-inv_binary64_726`
8×	`exp-diff_binary64_808`
6×	`pow1_binary64_821` `exp-prod_binary64_812` `unpow-prod-down_binary64_839`
5×	`add-log-exp_binary64_799` `add-exp-log_binary64_798`
4×	`add-cbrt-cube_binary64_796` `log-pow_binary64_849` `log-div_binary64_847` `log-prod_binary64_846`
3×	`cos-diff_binary64_897` `sub-neg_binary64_753` `pow-unpow_binary64_837`
2×	`exp-sum_binary64_806` `difference-of-squares_binary64_729`
1×	`rem-log-exp_binary64_801` `rem-exp-log_binary64_800` `times-frac_binary64_766` `distribute-lft-out--_binary64_712` `pow-pow_binary64_832` `pow-to-exp_binary64_829` `pow-exp_binary64_828` `unpow2_binary64_825` `sqr-pow_binary64_732`

Counts

4 → 69

Calls

4 calls:

11.0ms	(pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)
10.0ms	(exp.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M)))
10.0ms	(log.f64 (exp.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))))
10.0ms	(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))

Compiler

Compiled 2904 to 1499 computations (48.4% saved)

series1.7s (11.4%)

Error

0.7b

Counts

4 → 65

Calls

4 calls:

676.0ms	(log.f64 (exp.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))))
448.0ms	(pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)
282.0ms	(exp.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M)))
171.0ms	(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))

Compiler

Compiled 6467 to 4556 computations (29.6% saved)

simplify145.0ms (1%)

Algorithm

1×	egg-herbie

Rules

490×	`unswap-sqr_binary64_728`
273×	`associate-r_binary64_700`
267×	`associate-l_binary64_701`
245×	`log-prod_binary64_846`
200×	`sub-neg_binary64_753`
180×	`distribute-rgt-neg-in_binary64_718`
177×	`distribute-lft-neg-in_binary64_717`
149×	`associate--l+_binary64_697`
139×	`associate-+l+_binary64_693`
117×	`+-commutative_binary64_690`
113×	`sqr-pow_binary64_732` `*-commutative_binary64_691`
99×	`exp-prod_binary64_812`
90×	`distribute-rgt-out_binary64_713`
88×	`distribute-rgt-in_binary64_710`
86×	`cancel-sign-sub-inv_binary64_726`
82×	`distribute-lft-in_binary64_709`
73×	`associate-+r+_binary64_692`
67×	`distribute-lft-neg-out_binary64_719`
64×	`distribute-rgt-neg-out_binary64_720`
61×	`log-pow_binary64_849` `unsub-neg_binary64_754`
49×	`neg-sub0_binary64_755`
47×	`neg-mul-1_binary64_756` `distribute-rgt-out--_binary64_714`
46×	`associate-+l-_binary64_695`
40×	`associate-+r-_binary64_694`
33×	`exp-sum_binary64_806`
30×	`cube-prod_binary64_788`
29×	`+-rgt-identity_binary64_745` `pow-sqr_binary64_733`
27×	`associate--r+_binary64_696`
25×	`rem-log-exp_binary64_801`
24×	`pow-plus_binary64_823` `cube-unmult_binary64_797`
23×	`rem-sqrt-square_binary64_773` `swap-sqr_binary64_727`
20×	`sub0-neg_binary64_747`
14×	`unpow2_binary64_825` `unpow1/2_binary64_824` `unpow1_binary64_818` `distribute-lft-out_binary64_711`
13×	`difference-of-squares_binary64_729`
9×	`mul0-rgt_binary64_743` `mul0-lft_binary64_742`
7×	`cos-neg_binary64_891` `distribute-neg-in_binary64_721`
6×	`associate-*r/_binary64_702`
5×	`sin-neg_binary64_890` `exp-to-pow_binary64_822` `exp-diff_binary64_808` `mul-1-neg_binary64_752`
4×	`div-sub_binary64_765` `distribute-lft-out--_binary64_712` `associate-/l*_binary64_705`
3×	`exp-sqrt_binary64_813` `prod-exp_binary64_809` `exp-neg_binary64_807` `rem-square-sqrt_binary64_772` `associate-/l/_binary64_707` `associate-/r/_binary64_706` `associate-*l/_binary64_703`
2×	`log-div_binary64_847` `sqr-neg_binary64_774` `cancel-sign-sub_binary64_725` `distribute-frac-neg_binary64_723` `distribute-neg-out_binary64_722` `distribute-rgt1-in_binary64_716` `count-2_binary64_708`
1×	`log-rec_binary64_848` `unpow3_binary64_826` `1-exp_binary64_804` `exp-1-e_binary64_803` `rem-exp-log_binary64_800` `cube-mult_binary64_790` `rem-3cbrt-rft_binary64_786` `rem-3cbrt-lft_binary64_785` `*-rgt-identity_binary64_750` `distribute-lft1-in_binary64_715`
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` `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-lft-sqr_binary64_815` `exp-cbrt_binary64_814` `div-exp_binary64_811` `rec-exp_binary64_810` `e-exp-1_binary64_805` `exp-0_binary64_802` `cube-div_binary64_789` `cube-neg_binary64_787` `rem-cbrt-cube_binary64_784` `rem-cube-cbrt_binary64_783` `sqr-abs_binary64_775` `times-frac_binary64_766` `/-rgt-identity_binary64_751` `-lft-identity_binary64_749` `remove-double-neg_binary64_748` `--rgt-identity_binary64_746` `+-lft-identity_binary64_744` `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` `distribute-neg-frac_binary64_724` `associate-/r*_binary64_704` `associate--r-_binary64_699` `associate--l-_binary64_698`

Counts

134 → 103

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	219	3005
1	412	2768
2	836	2711
3	2579	2695
4	4801	2695
5	5142	2695

prune166.0ms (1.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	103	0	103
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	103	3	106

Error

0.7b

Counts

106 → 3

Compiler

Compiled 3559 to 1693 computations (52.4% saved)

regimes863.0ms (5.8%)

Accuracy

Total 0.2b remaining (16.7%)

Threshold costs 0.2b (16.7%)

Compiler

Compiled 10016 to 8010 computations (20% saved)

bsearch0.0ms (0%)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Rules

10×	`+-commutative_binary64_690`
8×	`sub-neg_binary64_753`
6×	`*-commutative_binary64_691`
5×	`neg-mul-1_binary64_756` `neg-sub0_binary64_755`
2×	`unsub-neg_binary64_754` `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` `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` `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-rgt-neg-out_binary64_720` `distribute-lft-neg-out_binary64_719` `distribute-rgt-neg-in_binary64_718` `distribute-lft-neg-in_binary64_717`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	31
1	26	31
2	41	31
3	53	31
4	60	31
5	62	31
6	62	31

end0.0ms (0%)

sample2.9s (19.7%)

Algorithm

1×

intervals

Results

845.0ms	7830×	body	128	valid
44.0ms	92×	body	1024	invalid
39.0ms	82×	body	1024	valid
33.0ms	315×	body	128	invalid
23.0ms	72×	body	512	invalid
18.0ms	55×	body	512	valid
13.0ms	60×	body	256	invalid
11.0ms	19×	body	2048	invalid
7.0ms	31×	body	256	valid
1.0ms	2×	body	2048	valid

Compiler

Compiled 1708 to 1366 computations (20% saved)

Details

analyze2.5s (16.8%)

sample47.0ms (0.3%)

simplify50.0ms (0.3%)

prune6.0ms (0%)

localize25.0ms (0.2%)

rewrite332.0ms (2.2%)

series1.7s (11.8%)

simplify145.0ms (1%)

prune172.0ms (1.2%)

localize14.0ms (0.1%)

rewrite78.0ms (0.5%)

series1.4s (9.5%)

simplify117.0ms (0.8%)

prune108.0ms (0.7%)

localize24.0ms (0.2%)

rewrite202.0ms (1.4%)

series1.5s (10.3%)

simplify132.0ms (0.9%)

prune196.0ms (1.3%)

localize25.0ms (0.2%)

rewrite188.0ms (1.3%)

series1.7s (11.4%)

simplify145.0ms (1%)

prune166.0ms (1.1%)

regimes863.0ms (5.8%)

bsearch0.0ms (0%)

simplify4.0ms (0%)

end0.0ms (0%)

sample2.9s (19.7%)

Profiling