Details

analyze2.9s (23.2%)

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)

sample55.0ms (0.4%)

Algorithm

1×

intervals

Results

30.0ms	253×	body	128	valid
2.0ms	3×	body	2048	invalid
2.0ms	13×	body	128	invalid
1.0ms	3×	body	1024	invalid
1.0ms	2×	body	512	valid
1.0ms	2×	body	512	invalid
0.0ms	1×	body	256	valid

Compiler

Compiled 59 to 52 computations (11.9% saved)

simplify52.0ms (0.4%)

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

prune10.0ms (0.1%)

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

17.0b

Counts

2 → 1

Compiler

Compiled 56 to 44 computations (21.4% saved)

localize23.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (*.f64 K (+.f64 m n)) 2)
0.0b	(-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M)
0.0b	(pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)
37.0b	(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))

rewrite183.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

16.9b

Rules

17×	`add-sqr-sqrt_binary64_782`
14×	`*-un-lft-identity_binary64_760`
10×	`add-cube-cbrt_binary64_795` `add-exp-log_binary64_798`
9×	`add-cbrt-cube_binary64_796`
6×	`cancel-sign-sub-inv_binary64_726` `add-log-exp_binary64_799` `unpow-prod-down_binary64_839`
5×	`pow1_binary64_821`
4×	`cos-sum_binary64_894` `times-frac_binary64_766`
3×	`difference-of-squares_binary64_729` `pow-unpow_binary64_837` `associate-/r*_binary64_704`
2×	`sub-neg_binary64_753` `distribute-lft-out--_binary64_712` `div-exp_binary64_811` `cbrt-undiv_binary64_794` `associate-*r/_binary64_702` `associate-/l/_binary64_707`
1×	`cos-diff_binary64_897` `pow-pow_binary64_832` `pow-to-exp_binary64_829` `pow-exp_binary64_828` `unpow2_binary64_825` `sqr-pow_binary64_732` `diff-log_binary64_852` `flip3--_binary64_764` `flip--_binary64_735` `prod-exp_binary64_809` `cbrt-unprod_binary64_793` `frac-2neg_binary64_771` `clear-num_binary64_759` `div-inv_binary64_757` `flip3-+_binary64_763` `flip-+_binary64_734` `associate-/l*_binary64_705`

Counts

4 → 72

Calls

4 calls:

12.0ms	(pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)
10.0ms	(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))
9.0ms	(-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M)
7.0ms	(/.f64 (*.f64 K (+.f64 m n)) 2)

Compiler

Compiled 2663 to 1330 computations (50.1% saved)

series1.2s (9.3%)

Error

0.7b

Counts

4 → 69

Calls

4 calls:

441.0ms	(pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)
275.0ms	(-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M)
170.0ms	(/.f64 (*.f64 K (+.f64 m n)) 2)
169.0ms	(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))

Compiler

Compiled 5848 to 4059 computations (30.6% saved)

simplify166.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

477×	`associate-l_binary64_701`
424×	`associate-r_binary64_700`
326×	`distribute-rgt-in_binary64_710`
314×	`distribute-lft-in_binary64_709`
233×	`sub-neg_binary64_753`
214×	`associate-/l*_binary64_705`
179×	`associate-*l/_binary64_703`
154×	`associate--l+_binary64_697`
139×	`associate-*r/_binary64_702`
111×	`exp-prod_binary64_812`
96×	`associate-/l/_binary64_707`
95×	`log-prod_binary64_846`
69×	`unsub-neg_binary64_754`
68×	`sqr-pow_binary64_732` `cancel-sign-sub-inv_binary64_726`
65×	`+-commutative_binary64_690`
61×	`associate-/r/_binary64_706`
60×	`*-commutative_binary64_691`
58×	`associate-+l-_binary64_695`
52×	`cube-prod_binary64_788`
50×	`neg-sub0_binary64_755`
43×	`associate-/r*_binary64_704`
42×	`times-frac_binary64_766` `neg-mul-1_binary64_756`
41×	`exp-sum_binary64_806`
35×	`log-div_binary64_847`
32×	`associate-+l+_binary64_693`
30×	`unswap-sqr_binary64_728`
29×	`cube-unmult_binary64_797` `associate--r+_binary64_696`
27×	`cube-div_binary64_789`
26×	`log-pow_binary64_849` `pow-plus_binary64_823` `associate-+r+_binary64_692`
25×	`rem-sqrt-square_binary64_773`
21×	`distribute-rgt-neg-in_binary64_718`
18×	`distribute-lft-neg-out_binary64_719`
16×	`distribute-lft-neg-in_binary64_717`
14×	`unpow2_binary64_825` `unpow1/2_binary64_824` `unpow1_binary64_818` `distribute-rgt-neg-out_binary64_720` `distribute-rgt-out_binary64_713` `distribute-lft-out_binary64_711`
11×	`unpow3_binary64_826` `associate-+r-_binary64_694`
10×	`exp-diff_binary64_808` `div-sub_binary64_765` `+-rgt-identity_binary64_745`
8×	`cube-mult_binary64_790` `swap-sqr_binary64_727` `distribute-rgt-out--_binary64_714` `associate--l-_binary64_698`
7×	`*-rgt-identity_binary64_750` `pow-sqr_binary64_733`
6×	`difference-of-squares_binary64_729` `distribute-neg-frac_binary64_724` `distribute-neg-in_binary64_721`
5×	`log-rec_binary64_848` `exp-sqrt_binary64_813`
4×	`distribute-lft-out--_binary64_712`
3×	`cos-neg_binary64_891` `sin-neg_binary64_890` `rem-square-sqrt_binary64_772`
2×	`exp-neg_binary64_807` `sqr-neg_binary64_774` `/-rgt-identity_binary64_751`
1×	`div-exp_binary64_811` `1-exp_binary64_804` `rem-3cbrt-rft_binary64_786` `rem-3cbrt-lft_binary64_785` `*-lft-identity_binary64_749`
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` `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` `prod-exp_binary64_809` `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-cbrt-cube_binary64_784` `rem-cube-cbrt_binary64_783` `sqr-abs_binary64_775` `mul-1-neg_binary64_752` `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-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`

Counts

141 → 110

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	225	2463
1	503	2281
2	1254	2212
3	4224	2209
4	4979	2209
5	5000	2209
6	5001	2209

prune186.0ms (1.5%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	106	4	110
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	107	4	111

Error

0.6b

Counts

111 → 4

Compiler

Compiled 3638 to 1747 computations (52% saved)

localize21.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite44.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Error

0.6b

Rules

8×	`add-sqr-sqrt_binary64_782`
6×	`unpow-prod-down_binary64_839`
5×	`*-un-lft-identity_binary64_760`
3×	`add-cube-cbrt_binary64_795` `pow-unpow_binary64_837`
2×	`difference-of-squares_binary64_729` `pow1_binary64_821` `add-exp-log_binary64_798`
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` `add-log-exp_binary64_799` `add-cbrt-cube_binary64_796` `sqr-pow_binary64_732`

Counts

1 → 21

Calls

1 calls:

12.0ms

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

Compiler

Compiled 594 to 320 computations (46.1% saved)

series462.0ms (3.7%)

Error

0.6b

Counts

1 → 27

Calls

1 calls:

425.0ms

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

Compiler

Compiled 1880 to 1302 computations (30.7% saved)

simplify105.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

490×	`cancel-sign-sub-inv_binary64_726`
448×	`unswap-sqr_binary64_728`
400×	`distribute-rgt-in_binary64_710`
380×	`distribute-lft-in_binary64_709`
345×	`log-prod_binary64_846`
244×	`exp-prod_binary64_812`
162×	`sub-neg_binary64_753`
146×	`associate--l+_binary64_697`
130×	`associate-+l+_binary64_693`
106×	`associate-l_binary64_701`
105×	`associate-r_binary64_700`
96×	`+-commutative_binary64_690`
81×	`sqr-pow_binary64_732`
75×	`distribute-lft-out_binary64_711`
72×	`associate-+r+_binary64_692`
68×	`distribute-rgt-out_binary64_713`
47×	`*-commutative_binary64_691`
40×	`unpow3_binary64_826`
39×	`associate-+l-_binary64_695`
38×	`log-pow_binary64_849`
34×	`associate-+r-_binary64_694`
33×	`unsub-neg_binary64_754`
32×	`distribute-lft-neg-out_binary64_719`
31×	`pow-plus_binary64_823` `distribute-rgt-neg-out_binary64_720`
30×	`cube-prod_binary64_788` `distribute-lft-out--_binary64_712`
29×	`distribute-rgt-out--_binary64_714`
27×	`associate--r+_binary64_696`
26×	`distribute-rgt-neg-in_binary64_718`
24×	`distribute-lft-neg-in_binary64_717`
23×	`rem-sqrt-square_binary64_773` `+-rgt-identity_binary64_745`
20×	`cube-unmult_binary64_797` `neg-sub0_binary64_755`
18×	`exp-sum_binary64_806`
17×	`pow-sqr_binary64_733` `swap-sqr_binary64_727`
15×	`neg-mul-1_binary64_756`
14×	`unpow2_binary64_825` `unpow1/2_binary64_824` `unpow1_binary64_818` `sub0-neg_binary64_747`
13×	`difference-of-squares_binary64_729`
6×	`associate-*r/_binary64_702`
4×	`exp-diff_binary64_808`
3×	`exp-sqrt_binary64_813` `div-sub_binary64_765` `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` `distribute-neg-out_binary64_722` `distribute-neg-in_binary64_721`
1×	`1-exp_binary64_804` `cube-mult_binary64_790` `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` `prod-exp_binary64_809` `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` `remove-double-neg_binary64_748` `--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-neg-frac_binary64_724` `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

48 → 43

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	92	1087
1	229	963
2	525	906
3	1663	894
4	4617	894
5	4983	894
6	5067	894

prune63.0ms (0.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	43	0	43
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	43	4	47

Error

0.6b

Counts

47 → 4

Compiler

Compiled 1185 to 539 computations (54.5% saved)

localize23.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 (cos.f64 (.f64 1/2 (*.f64 m K))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l))))
0.0b	(.f64 1/2 (.f64 m K))
0.0b	(pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)
29.6b	(cos.f64 (.f64 1/2 (.f64 m K)))

rewrite174.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

0.6b

Rules

17×	`add-sqr-sqrt_binary64_782`
14×	`*-un-lft-identity_binary64_760`
12×	`pow1_binary64_821`
11×	`add-exp-log_binary64_798` `add-cbrt-cube_binary64_796`
10×	`add-cube-cbrt_binary64_795`
9×	`associate-r_binary64_700`
6×	`unpow-prod-down_binary64_839` `associate-l_binary64_701`
5×	`exp-sum_binary64_806`
4×	`add-log-exp_binary64_799` `pow-prod-down_binary64_831` `prod-exp_binary64_809` `cbrt-unprod_binary64_793` `cancel-sign-sub-inv_binary64_726`
3×	`pow-unpow_binary64_837`
2×	`difference-of-squares_binary64_729` `*-commutative_binary64_691`
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` `unswap-sqr_binary64_728` `exp-diff_binary64_808` `associate-*r/_binary64_702` `sub-neg_binary64_753` `distribute-lft-out_binary64_711`

Counts

4 → 70

Calls

4 calls:

25.0ms	(.f64 (cos.f64 (.f64 1/2 (*.f64 m K))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l))))
12.0ms	(pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)
5.0ms	(.f64 1/2 (.f64 m K))
2.0ms	(cos.f64 (.f64 1/2 (.f64 m K)))

Compiler

Compiled 2364 to 1292 computations (45.3% saved)

series1.6s (13.1%)

Error

0.6b

Counts

4 → 57

Calls

4 calls:

978.0ms	(.f64 (cos.f64 (.f64 1/2 (*.f64 m K))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l))))
425.0ms	(pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)
85.0ms	(.f64 1/2 (.f64 m K))
61.0ms	(cos.f64 (.f64 1/2 (.f64 m K)))

Compiler

Compiled 5429 to 3807 computations (29.9% saved)

simplify126.0ms (1%)

Algorithm

1×	egg-herbie

Rules

460×	`associate--r+_binary64_696`
284×	`associate--l+_binary64_697`
214×	`cancel-sign-sub-inv_binary64_726`
208×	`exp-sum_binary64_806`
193×	`sub-neg_binary64_753`
158×	`exp-prod_binary64_812`
139×	`associate-l_binary64_701`
137×	`distribute-rgt-in_binary64_710`
132×	`associate-r_binary64_700`
125×	`associate-*r/_binary64_702`
122×	`times-frac_binary64_766`
108×	`distribute-neg-in_binary64_721`
105×	`distribute-lft-in_binary64_709`
102×	`associate-*l/_binary64_703`
86×	`div-exp_binary64_811` `+-commutative_binary64_690`
78×	`exp-diff_binary64_808` `*-commutative_binary64_691`
76×	`distribute-rgt-neg-in_binary64_718`
74×	`associate-/r*_binary64_704`
73×	`sqr-pow_binary64_732`
71×	`distribute-lft-neg-in_binary64_717`
70×	`log-prod_binary64_846`
66×	`associate-+l+_binary64_693`
57×	`associate-+r+_binary64_692`
42×	`associate-/l*_binary64_705`
40×	`neg-mul-1_binary64_756` `neg-sub0_binary64_755` `unswap-sqr_binary64_728`
33×	`unsub-neg_binary64_754`
19×	`log-pow_binary64_849` `unpow1/2_binary64_824`
18×	`swap-sqr_binary64_727`
17×	`log-div_binary64_847`
16×	`associate--l-_binary64_698`
15×	`unpow2_binary64_825` `unpow1_binary64_818`
14×	`pow-plus_binary64_823` `cube-prod_binary64_788`
11×	`unpow3_binary64_826` `*-lft-identity_binary64_749` `distribute-rgt-out_binary64_713` `distribute-lft-out_binary64_711`
10×	`*-rgt-identity_binary64_750` `distribute-lft-neg-out_binary64_719`
9×	`cube-unmult_binary64_797` `pow-sqr_binary64_733`
8×	`distribute-rgt-out--_binary64_714`
7×	`prod-exp_binary64_809`
6×	`distribute-lft-out--_binary64_712` `associate--r-_binary64_699`
5×	`distribute-rgt-neg-out_binary64_720` `associate-/l/_binary64_707`
4×	`associate-+l-_binary64_695` `associate-+r-_binary64_694`
3×	`exp-sqrt_binary64_813` `rem-log-exp_binary64_801` `cube-div_binary64_789` `rem-sqrt-square_binary64_773`
2×	`log-rec_binary64_848` `difference-of-squares_binary64_729` `distribute-neg-frac_binary64_724`
1×	`1-exp_binary64_804` `exp-1-e_binary64_803` `rem-3cbrt-rft_binary64_786` `rem-square-sqrt_binary64_772` `distribute-rgt1-in_binary64_716` `distribute-lft1-in_binary64_715` `count-2_binary64_708` `associate-/r/_binary64_706`
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` `rec-exp_binary64_810` `exp-neg_binary64_807` `e-exp-1_binary64_805` `exp-0_binary64_802` `rem-exp-log_binary64_800` `cube-mult_binary64_790` `cube-neg_binary64_787` `rem-3cbrt-lft_binary64_785` `rem-cbrt-cube_binary64_784` `rem-cube-cbrt_binary64_783` `sqr-abs_binary64_775` `sqr-neg_binary64_774` `div-sub_binary64_765` `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` `cancel-sign-sub_binary64_725` `distribute-frac-neg_binary64_723` `distribute-neg-out_binary64_722`

Counts

127 → 103

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	209	3545
1	524	3133
2	1598	3069
3	4671	3065
4	5012	3065

prune162.0ms (1.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	101	2	103
Fresh	1	1	2
Picked	1	0	1
Done	0	1	1
Total	103	4	107

Error

0.6b

Counts

107 → 4

Compiler

Compiled 3351 to 1685 computations (49.7% saved)

localize30.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (.f64 (cbrt.f64 1/2) (cbrt.f64 1/2)) (.f64 (.f64 K m) (cbrt.f64 1/2)))
0.3b	(.f64 (.f64 K m) (cbrt.f64 1/2))
1.0b	(*.f64 (cbrt.f64 1/2) (cbrt.f64 1/2))
29.8b	(cos.f64 (.f64 (.f64 (cbrt.f64 1/2) (cbrt.f64 1/2)) (.f64 (.f64 K m) (cbrt.f64 1/2))))

rewrite260.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Error

0.6b

Rules

37×	`pow1_binary64_821`
32×	`add-exp-log_binary64_798`
22×	`add-sqr-sqrt_binary64_782`
20×	`pow-prod-down_binary64_831`
19×	`prod-exp_binary64_809` `cbrt-unprod_binary64_793` `cbrt-prod_binary64_791`
18×	`add-cbrt-cube_binary64_796`
14×	`add-cube-cbrt_binary64_795` `*-un-lft-identity_binary64_760`
13×	`associate-r_binary64_700`
8×	`associate-l_binary64_701`
6×	`pow1/3_binary64_842` `swap-sqr_binary64_727`
4×	`add-log-exp_binary64_799` `unswap-sqr_binary64_728`
3×	`*-commutative_binary64_691`
2×	`pow-prod-up_binary64_830` `pow-sqr_binary64_733`
1×	`pow2_binary64_841` `pow-plus_binary64_823`

Counts

4 → 96

Calls

4 calls:

13.0ms	(.f64 (.f64 (cbrt.f64 1/2) (cbrt.f64 1/2)) (.f64 (.f64 K m) (cbrt.f64 1/2)))
7.0ms	(*.f64 (cbrt.f64 1/2) (cbrt.f64 1/2))
7.0ms	(.f64 (.f64 K m) (cbrt.f64 1/2))
4.0ms	(cos.f64 (.f64 (.f64 (cbrt.f64 1/2) (cbrt.f64 1/2)) (.f64 (.f64 K m) (cbrt.f64 1/2))))

Compiler

Compiled 3596 to 2351 computations (34.6% saved)

series513.0ms (4.1%)

Error

0.6b

Counts

4 → 20

Calls

4 calls:

225.0ms	(.f64 (.f64 (cbrt.f64 1/2) (cbrt.f64 1/2)) (.f64 (.f64 K m) (cbrt.f64 1/2)))
135.0ms	(.f64 (.f64 K m) (cbrt.f64 1/2))
121.0ms	(cos.f64 (.f64 (.f64 (cbrt.f64 1/2) (cbrt.f64 1/2)) (.f64 (.f64 K m) (cbrt.f64 1/2))))
0.0ms	(*.f64 (cbrt.f64 1/2) (cbrt.f64 1/2))

Compiler

Compiled 1678 to 1347 computations (19.7% saved)

simplify117.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

475×	`unswap-sqr_binary64_728`
447×	`*-commutative_binary64_691`
365×	`log-prod_binary64_846`
277×	`associate-+l+_binary64_693`
272×	`exp-prod_binary64_812`
237×	`associate-l_binary64_701`
228×	`associate-r_binary64_700`
224×	`cube-prod_binary64_788`
207×	`associate-+r+_binary64_692`
173×	`distribute-rgt-neg-in_binary64_718`
162×	`distribute-lft-neg-in_binary64_717`
148×	`sqr-pow_binary64_732`
110×	`associate-/l*_binary64_705`
100×	`swap-sqr_binary64_727`
95×	`cancel-sign-sub-inv_binary64_726`
60×	`rem-sqrt-square_binary64_773`
48×	`associate-/r*_binary64_704`
47×	`pow-sqr_binary64_733`
34×	`unpow3_binary64_826`
29×	`neg-mul-1_binary64_756` `neg-sub0_binary64_755`
26×	`cube-mult_binary64_790`
18×	`log-pow_binary64_849` `distribute-rgt-in_binary64_710`
17×	`+-commutative_binary64_690`
16×	`distribute-lft-in_binary64_709`
15×	`associate-/l/_binary64_707` `associate-*r/_binary64_702`
13×	`cube-unmult_binary64_797` `associate-/r/_binary64_706`
12×	`unpow1/2_binary64_824`
11×	`pow-plus_binary64_823`
10×	`*-rgt-identity_binary64_750`
7×	`sub-neg_binary64_753` `*-lft-identity_binary64_749`
6×	`count-2_binary64_708`
4×	`unpow2_binary64_825`
3×	`distribute-lft-out_binary64_711`
2×	`unpow1_binary64_818` `prod-exp_binary64_809` `distribute-rgt-out_binary64_713`
1×	`1-exp_binary64_804` `exp-1-e_binary64_803` `rem-3cbrt-rft_binary64_786` `rem-3cbrt-lft_binary64_785` `rem-cbrt-cube_binary64_784` `rem-cube-cbrt_binary64_783` `rem-square-sqrt_binary64_772` `sub0-neg_binary64_747` `distribute-rgt1-in_binary64_716` `distribute-lft1-in_binary64_715` `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-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` `exp-sqrt_binary64_813` `div-exp_binary64_811` `rec-exp_binary64_810` `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-div_binary64_789` `cube-neg_binary64_787` `sqr-abs_binary64_775` `sqr-neg_binary64_774` `times-frac_binary64_766` `div-sub_binary64_765` `unsub-neg_binary64_754` `mul-1-neg_binary64_752` `/-rgt-identity_binary64_751` `remove-double-neg_binary64_748` `--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-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-out--_binary64_714` `distribute-lft-out--_binary64_712` `associate-l/_binary64_703` `associate--r-_binary64_699` `associate--l-_binary64_698` `associate--l+_binary64_697` `associate--r+_binary64_696` `associate-+r-_binary64_694`

Counts

116 → 89

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	132	1799
1	263	1164
2	938	1160
3	1718	1145
4	4238	1061
5	4966	1061
6	5004	1061

prune156.0ms (1.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	87	2	89
Fresh	1	1	2
Picked	1	0	1
Done	0	1	1
Total	89	4	93

Error

0.6b

Counts

93 → 4

Compiler

Compiled 2706 to 1618 computations (40.2% saved)

regimes819.0ms (6.5%)

Accuracy

Total 0.2b remaining (17.5%)

Threshold costs 0.2b (17.5%)

Compiler

Compiled 9206 to 7872 computations (14.5% 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%)

sample3.1s (24.5%)

Algorithm

1×

intervals

Results

952.0ms	7840×	body	128	valid
54.0ms	92×	body	1024	invalid
35.0ms	296×	body	128	invalid
34.0ms	81×	body	512	invalid
31.0ms	58×	body	1024	valid
24.0ms	63×	body	512	valid
16.0ms	25×	body	2048	invalid
11.0ms	46×	body	256	invalid
10.0ms	38×	body	256	valid
1.0ms	1×	body	2048	valid

Compiler

Compiled 1573 to 1343 computations (14.6% saved)

Details

analyze2.9s (23.2%)

sample55.0ms (0.4%)

simplify52.0ms (0.4%)

prune10.0ms (0.1%)

localize23.0ms (0.2%)

rewrite183.0ms (1.5%)

series1.2s (9.3%)

simplify166.0ms (1.3%)

prune186.0ms (1.5%)

localize21.0ms (0.2%)

rewrite44.0ms (0.3%)

series462.0ms (3.7%)

simplify105.0ms (0.8%)

prune63.0ms (0.5%)

localize23.0ms (0.2%)

rewrite174.0ms (1.4%)

series1.6s (13.1%)

simplify126.0ms (1%)

prune162.0ms (1.3%)

localize30.0ms (0.2%)

rewrite260.0ms (2.1%)

series513.0ms (4.1%)

simplify117.0ms (0.9%)

prune156.0ms (1.2%)

regimes819.0ms (6.5%)

bsearch0.0ms (0%)

simplify4.0ms (0%)

end0.0ms (0%)

sample3.1s (24.5%)

Profiling