Details

analyze382.0ms (7.3%)

Algorithm

1×	search
2×	egg-herbie

Rules

1760×	`associate--l+_binary64_697`
1745×	`associate--r+_binary64_696`
455×	`unsub-neg_binary64_754`
435×	`distribute-rgt-in_binary64_710`
425×	`sub-neg_binary64_753`
323×	`distribute-neg-in_binary64_721`
321×	`distribute-lft-in_binary64_709`
175×	`associate-+l-_binary64_695`
154×	`+-commutative_binary64_690`
144×	`cancel-sign-sub-inv_binary64_726`
126×	`associate-+r-_binary64_694`
114×	`associate--l-_binary64_698`
93×	`distribute-lft-neg-out_binary64_719`
92×	`associate--r-_binary64_699`
86×	`associate-r_binary64_700`
83×	`associate-l_binary64_701`
82×	`*-commutative_binary64_691`
78×	`neg-sub0_binary64_755` `distribute-rgt-neg-out_binary64_720`
72×	`associate-+r+_binary64_692`
71×	`distribute-rgt-neg-in_binary64_718`
67×	`neg-mul-1_binary64_756`
63×	`distribute-lft-neg-in_binary64_717` `associate-+l+_binary64_693`
55×	`distribute-rgt-out--_binary64_714`
47×	`distribute-neg-out_binary64_722`
29×	`distribute-rgt-out_binary64_713`
28×	`mul0-rgt_binary64_743` `mul0-lft_binary64_742`
27×	`sub0-neg_binary64_747`
26×	`*-rgt-identity_binary64_750`
19×	`*-lft-identity_binary64_749` `remove-double-neg_binary64_748`
17×	`distribute-rgt1-in_binary64_716`
16×	`log-prod_binary64_846`
15×	`--rgt-identity_binary64_746`
12×	`+-rgt-identity_binary64_745`
10×	`cancel-sign-sub_binary64_725`
8×	`+-lft-identity_binary64_744`
4×	`distribute-lft-out--_binary64_712`
2×	`distribute-lft-out_binary64_711`
1×	`1-exp_binary64_804` `+-inverses_binary64_739` `distribute-lft1-in_binary64_715` `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` `log-div_binary64_847` `pow-base-0_binary64_844` `unpow1/3_binary64_827` `unpow3_binary64_826` `unpow2_binary64_825` `unpow1/2_binary64_824` `pow-plus_binary64_823` `exp-to-pow_binary64_822` `pow-base-1_binary64_820` `unpow0_binary64_819` `unpow1_binary64_818` `unpow-1_binary64_817` `exp-lft-cube_binary64_816` `exp-lft-sqr_binary64_815` `exp-cbrt_binary64_814` `exp-sqrt_binary64_813` `exp-prod_binary64_812` `div-exp_binary64_811` `rec-exp_binary64_810` `prod-exp_binary64_809` `exp-diff_binary64_808` `exp-neg_binary64_807` `exp-sum_binary64_806` `e-exp-1_binary64_805` `exp-1-e_binary64_803` `exp-0_binary64_802` `rem-log-exp_binary64_801` `rem-exp-log_binary64_800` `cube-unmult_binary64_797` `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` `sqr-neg_binary64_774` `rem-sqrt-square_binary64_773` `rem-square-sqrt_binary64_772` `times-frac_binary64_766` `div-sub_binary64_765` `mul-1-neg_binary64_752` `/-rgt-identity_binary64_751` `div0_binary64_741` `-inverses_binary64_740` `lft-mult-inverse_binary64_738` `rgt-mult-inverse_binary64_737` `remove-double-div_binary64_736` `pow-sqr_binary64_733` `sqr-pow_binary64_732` `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` `distribute-neg-frac_binary64_724` `distribute-frac-neg_binary64_723` `associate-/l/_binary64_707` `associate-/r/_binary64_706` `associate-/l_binary64_705` `associate-/r_binary64_704` `associate-l/_binary64_703` `associate-*r/_binary64_702`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	25	23
2	51	23
3	91	23
4	195	23
5	328	23
6	532	23
7	817	23
8	1428	23
9	1449	23
10	1675	23
11	1757	23
12	1815	23
13	1828	23
14	2029	23
15	1969	23
16	2031	23
17	2041	23
18	2051	23
19	2051	23
20	2081	23
21	2061	23
22	2061	23
23	2185	23
24	2137	23
25	2137	23
26	6094	23
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	23.7%	76.3%	0
0%	23.7%	76.3%	1
11.9%	11.9%	76.3%	2
17.8%	5.9%	76.3%	3
20.8%	3%	76.3%	4
22.2%	1.5%	76.3%	5
23%	0.7%	76.3%	6
23.3%	0.4%	76.3%	7
23.3%	0.4%	76.3%	8
23.4%	0.3%	76.3%	9
23.5%	0.2%	76.3%	10
23.5%	0.2%	76.3%	11
23.5%	0.2%	76.3%	12
23.6%	0.2%	76.3%	13
23.6%	0.1%	76.3%	14

Compiler

Compiled 18 to 14 computations (22.2% saved)

sample88.0ms (1.7%)

Algorithm

1×

intervals

Results

47.0ms	140×	body	1024	valid
13.0ms	62×	body	512	valid
10.0ms	21×	body	2048	valid
3.0ms	25×	body	256	valid
3.0ms	256×	pre	128	true
0.0ms	8×	body	128	valid

Compiler

Compiled 33 to 27 computations (18.2% saved)

simplify230.0ms (4.4%)

Algorithm

1×	egg-herbie

Rules

1760×	`associate--l+_binary64_697`
1745×	`associate--r+_binary64_696`
455×	`unsub-neg_binary64_754`
435×	`distribute-rgt-in_binary64_710`
425×	`sub-neg_binary64_753`
323×	`distribute-neg-in_binary64_721`
321×	`distribute-lft-in_binary64_709`
175×	`associate-+l-_binary64_695`
154×	`+-commutative_binary64_690`
144×	`cancel-sign-sub-inv_binary64_726`
126×	`associate-+r-_binary64_694`
114×	`associate--l-_binary64_698`
93×	`distribute-lft-neg-out_binary64_719`
92×	`associate--r-_binary64_699`
86×	`associate-r_binary64_700`
83×	`associate-l_binary64_701`
82×	`*-commutative_binary64_691`
78×	`neg-sub0_binary64_755` `distribute-rgt-neg-out_binary64_720`
72×	`associate-+r+_binary64_692`
71×	`distribute-rgt-neg-in_binary64_718`
67×	`neg-mul-1_binary64_756`
63×	`distribute-lft-neg-in_binary64_717` `associate-+l+_binary64_693`
55×	`distribute-rgt-out--_binary64_714`
47×	`distribute-neg-out_binary64_722`
29×	`distribute-rgt-out_binary64_713`
28×	`mul0-rgt_binary64_743` `mul0-lft_binary64_742`
27×	`sub0-neg_binary64_747`
26×	`*-rgt-identity_binary64_750`
19×	`*-lft-identity_binary64_749` `remove-double-neg_binary64_748`
17×	`distribute-rgt1-in_binary64_716`
16×	`log-prod_binary64_846`
15×	`--rgt-identity_binary64_746`
12×	`+-rgt-identity_binary64_745`
10×	`cancel-sign-sub_binary64_725`
8×	`+-lft-identity_binary64_744`
4×	`distribute-lft-out--_binary64_712`
2×	`distribute-lft-out_binary64_711`
1×	`1-exp_binary64_804` `+-inverses_binary64_739` `distribute-lft1-in_binary64_715` `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` `log-div_binary64_847` `pow-base-0_binary64_844` `unpow1/3_binary64_827` `unpow3_binary64_826` `unpow2_binary64_825` `unpow1/2_binary64_824` `pow-plus_binary64_823` `exp-to-pow_binary64_822` `pow-base-1_binary64_820` `unpow0_binary64_819` `unpow1_binary64_818` `unpow-1_binary64_817` `exp-lft-cube_binary64_816` `exp-lft-sqr_binary64_815` `exp-cbrt_binary64_814` `exp-sqrt_binary64_813` `exp-prod_binary64_812` `div-exp_binary64_811` `rec-exp_binary64_810` `prod-exp_binary64_809` `exp-diff_binary64_808` `exp-neg_binary64_807` `exp-sum_binary64_806` `e-exp-1_binary64_805` `exp-1-e_binary64_803` `exp-0_binary64_802` `rem-log-exp_binary64_801` `rem-exp-log_binary64_800` `cube-unmult_binary64_797` `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` `sqr-neg_binary64_774` `rem-sqrt-square_binary64_773` `rem-square-sqrt_binary64_772` `times-frac_binary64_766` `div-sub_binary64_765` `mul-1-neg_binary64_752` `/-rgt-identity_binary64_751` `div0_binary64_741` `-inverses_binary64_740` `lft-mult-inverse_binary64_738` `rgt-mult-inverse_binary64_737` `remove-double-div_binary64_736` `pow-sqr_binary64_733` `sqr-pow_binary64_732` `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` `distribute-neg-frac_binary64_724` `distribute-frac-neg_binary64_723` `associate-/l/_binary64_707` `associate-/r/_binary64_706` `associate-/l_binary64_705` `associate-/r_binary64_704` `associate-l/_binary64_703` `associate-*r/_binary64_702`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	25	23
2	51	23
3	91	23
4	195	23
5	328	23
6	532	23
7	817	23
8	1428	23
9	1449	23
10	1675	23
11	1757	23
12	1815	23
13	1828	23
14	2029	23
15	1969	23
16	2031	23
17	2041	23
18	2051	23
19	2051	23
20	2081	23
21	2061	23
22	2061	23
23	2185	23
24	2137	23
25	2137	23
26	6094	23

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

63.0b

Counts

1 → 1

Compiler

Compiled 15 to 12 computations (20% saved)

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.2b	(*.f64 n (log.f64 n))
0.2b	(*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)))
4.6b	(-.f64 (.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (.f64 n (log.f64 n)))

rewrite140.0ms (2.7%)

Algorithm

1×	rewrite-expression-head

Error

60.5b

Rules

28×	`log-prod_binary64_846`
25×	`*-un-lft-identity_binary64_760`
19×	`add-sqr-sqrt_binary64_782`
15×	`add-cube-cbrt_binary64_795`
14×	`distribute-rgt-in_binary64_710` `distribute-lft-in_binary64_709`
9×	`pow1_binary64_821`
8×	`associate--l+_binary64_697` `associate-r_binary64_700`
7×	`add-exp-log_binary64_798` `add-cbrt-cube_binary64_796` `associate-l_binary64_701`
6×	`associate--r+_binary64_696`
5×	`add-log-exp_binary64_799` `distribute-lft-out_binary64_711`
2×	`pow-prod-down_binary64_831` `prod-exp_binary64_809` `cbrt-unprod_binary64_793` `unswap-sqr_binary64_728` `associate-l/_binary64_703` `log-pow_binary64_849` `-commutative_binary64_691`
1×	`diff-log_binary64_852` `flip3--_binary64_764` `sub-neg_binary64_753` `flip--_binary64_735` `cancel-sign-sub-inv_binary64_726` `flip3-+_binary64_763` `flip-+_binary64_734`

Counts

3 → 81

Calls

3 calls:

11.0ms	(-.f64 (.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (.f64 n (log.f64 n)))
9.0ms	(*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)))
5.0ms	(*.f64 n (log.f64 n))

Compiler

Compiled 1890 to 1190 computations (37% saved)

series385.0ms (7.4%)

Error

0.0b

Counts

3 → 12

Calls

3 calls:

211.0ms	(-.f64 (.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (.f64 n (log.f64 n)))
116.0ms	(*.f64 n (log.f64 n))
43.0ms	(*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)))

Compiler

Compiled 515 to 407 computations (21% saved)

simplify108.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

378×	`times-frac_binary64_766`
356×	`unsub-neg_binary64_754`
344×	`distribute-rgt-in_binary64_710`
318×	`distribute-lft-in_binary64_709`
264×	`cancel-sign-sub-inv_binary64_726`
227×	`distribute-rgt-neg-out_binary64_720`
225×	`distribute-rgt-neg-in_binary64_718`
209×	`distribute-lft-neg-out_binary64_719`
194×	`*-commutative_binary64_691`
168×	`sub-neg_binary64_753`
121×	`exp-sum_binary64_806`
118×	`associate-l_binary64_701`
111×	`distribute-neg-in_binary64_721`
108×	`exp-prod_binary64_812`
101×	`associate-+l+_binary64_693`
98×	`neg-sub0_binary64_755`
95×	`neg-mul-1_binary64_756` `associate-r_binary64_700`
93×	`associate-+r+_binary64_692`
87×	`unswap-sqr_binary64_728`
77×	`sqr-pow_binary64_732`
76×	`log-prod_binary64_846`
66×	`+-commutative_binary64_690`
60×	`distribute-lft-neg-in_binary64_717`
59×	`cube-prod_binary64_788`
51×	`exp-diff_binary64_808`
46×	`associate--l+_binary64_697`
43×	`distribute-rgt-out_binary64_713`
39×	`distribute-neg-out_binary64_722`
37×	`*-rgt-identity_binary64_750`
36×	`*-lft-identity_binary64_749`
31×	`associate-+r-_binary64_694`
30×	`associate--r-_binary64_699`
29×	`difference-of-squares_binary64_729`
27×	`div-sub_binary64_765`
25×	`associate-+l-_binary64_695`
23×	`exp-to-pow_binary64_822` `remove-double-neg_binary64_748`
21×	`swap-sqr_binary64_727`
20×	`prod-exp_binary64_809`
19×	`sub0-neg_binary64_747` `associate--r+_binary64_696`
18×	`distribute-rgt-out--_binary64_714`
16×	`log-div_binary64_847`
15×	`distribute-lft-out_binary64_711`
14×	`exp-neg_binary64_807` `sqr-neg_binary64_774` `+-rgt-identity_binary64_745`
13×	`unpow3_binary64_826`
12×	`--rgt-identity_binary64_746` `mul0-rgt_binary64_743` `mul0-lft_binary64_742` `pow-sqr_binary64_733`
11×	`rem-sqrt-square_binary64_773`
8×	`unpow1/2_binary64_824`
7×	`log-pow_binary64_849` `cube-div_binary64_789` `distribute-rgt1-in_binary64_716`
6×	`cube-mult_binary64_790`
5×	`cube-neg_binary64_787` `distribute-frac-neg_binary64_723` `associate-/l_binary64_705` `associate-/r_binary64_704`
4×	`log-rec_binary64_848`
3×	`pow-plus_binary64_823` `div-exp_binary64_811` `rem-exp-log_binary64_800` `cube-unmult_binary64_797` `mul-1-neg_binary64_752` `count-2_binary64_708`
2×	`+-inverses_binary64_739` `difference-of-sqr-1_binary64_730` `cancel-sign-sub_binary64_725` `distribute-lft1-in_binary64_715` `distribute-lft-out--_binary64_712`
1×	`log-E_binary64_850` `unpow2_binary64_825` `unpow1_binary64_818` `unpow-1_binary64_817` `rec-exp_binary64_810` `1-exp_binary64_804` `exp-1-e_binary64_803` `rem-log-exp_binary64_801` `+-lft-identity_binary64_744` `difference-of-sqr--1_binary64_731` `distribute-neg-frac_binary64_724` `associate--l-_binary64_698`
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` `pow-base-0_binary64_844` `unpow1/3_binary64_827` `pow-base-1_binary64_820` `unpow0_binary64_819` `exp-lft-cube_binary64_816` `exp-lft-sqr_binary64_815` `exp-cbrt_binary64_814` `exp-sqrt_binary64_813` `e-exp-1_binary64_805` `exp-0_binary64_802` `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` `/-rgt-identity_binary64_751` `div0_binary64_741` `-inverses_binary64_740` `lft-mult-inverse_binary64_738` `rgt-mult-inverse_binary64_737` `remove-double-div_binary64_736` `associate-/l/_binary64_707` `associate-/r/_binary64_706` `associate-l/_binary64_703` `associate-*r/_binary64_702`

Counts

93 → 77

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	147	1629
1	336	1506
2	937	1495
3	2694	1492
4	4282	1492
5	5105	1492

prune88.0ms (1.7%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	76	1	77
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	77	1	78

Error

0.0b

Counts

78 → 1

Compiler

Compiled 1621 to 1033 computations (36.3% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b	(-.f64 (+.f64 1 (log.f64 n)) 1)

rewrite28.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

10×	`*-un-lft-identity_binary64_760`
6×	`add-sqr-sqrt_binary64_782`
5×	`add-log-exp_binary64_799`
3×	`cancel-sign-sub-inv_binary64_726` `distribute-lft-out--_binary64_712`
2×	`diff-log_binary64_852` `pow1_binary64_821` `add-cube-cbrt_binary64_795` `difference-of-squares_binary64_729` `distribute-lft-out_binary64_711`
1×	`sum-log_binary64_851` `add-exp-log_binary64_798` `add-cbrt-cube_binary64_796` `flip3--_binary64_764` `sub-neg_binary64_753` `flip--_binary64_735` `difference-of-sqr-1_binary64_730` `log-pow_binary64_849` `associate--l+_binary64_697`

Counts

1 → 22

Calls

1 calls:

7.0ms

(-.f64 (+.f64 1 (log.f64 n)) 1)

Compiler

Compiled 277 to 210 computations (24.2% saved)

series80.0ms (1.5%)

Error

Counts

1 → 3

Calls

1 calls:

77.0ms

(-.f64 (+.f64 1 (log.f64 n)) 1)

Compiler

Compiled 45 to 43 computations (4.4% saved)

simplify71.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

601×	`distribute-rgt-in_binary64_710`
585×	`sub-neg_binary64_753`
584×	`unsub-neg_binary64_754`
494×	`distribute-lft-in_binary64_709`
486×	`times-frac_binary64_766`
221×	`exp-sum_binary64_806`
218×	`distribute-neg-out_binary64_722`
205×	`associate-+l-_binary64_695`
195×	`exp-diff_binary64_808`
172×	`associate-+r-_binary64_694`
164×	`log-prod_binary64_846`
155×	`associate--r+_binary64_696`
146×	`associate--l+_binary64_697`
140×	`associate-l_binary64_701`
121×	`log-div_binary64_847`
108×	`associate-r_binary64_700`
88×	`+-commutative_binary64_690`
75×	`sub0-neg_binary64_747`
69×	`associate-+l+_binary64_693`
56×	`distribute-rgt-out_binary64_713`
55×	`associate--r-_binary64_699`
52×	`neg-sub0_binary64_755`
46×	`div-sub_binary64_765`
43×	`associate-+r+_binary64_692`
42×	`exp-prod_binary64_812`
35×	`distribute-lft-neg-out_binary64_719`
34×	`distribute-rgt-neg-out_binary64_720` `*-commutative_binary64_691`
33×	`*-rgt-identity_binary64_750`
29×	`neg-mul-1_binary64_756` `*-lft-identity_binary64_749` `sqr-pow_binary64_732`
27×	`associate--l-_binary64_698`
25×	`distribute-neg-in_binary64_721`
20×	`cube-prod_binary64_788`
19×	`distribute-rgt1-in_binary64_716`
17×	`log-pow_binary64_849` `mul-1-neg_binary64_752` `mul0-lft_binary64_742` `associate-/l*_binary64_705`
16×	`mul0-rgt_binary64_743` `unswap-sqr_binary64_728` `associate-/r*_binary64_704`
15×	`div-exp_binary64_811`
13×	`+-rgt-identity_binary64_745`
12×	`cancel-sign-sub-inv_binary64_726` `distribute-lft1-in_binary64_715` `associate-/r/_binary64_706`
9×	`prod-exp_binary64_809`
8×	`pow-plus_binary64_823` `exp-to-pow_binary64_822`
7×	`cube-unmult_binary64_797` `--rgt-identity_binary64_746` `associate-*l/_binary64_703`
6×	`cube-neg_binary64_787` `distribute-lft-out_binary64_711` `associate-/l/_binary64_707` `associate-*r/_binary64_702`
5×	`log-rec_binary64_848` `unpow3_binary64_826` `swap-sqr_binary64_727` `distribute-rgt-neg-in_binary64_718` `distribute-rgt-out--_binary64_714`
4×	`rec-exp_binary64_810` `rem-exp-log_binary64_800` `difference-of-sqr--1_binary64_731` `difference-of-sqr-1_binary64_730` `distribute-lft-neg-in_binary64_717`
3×	`unpow1/2_binary64_824` `exp-neg_binary64_807` `sqr-neg_binary64_774` `rem-sqrt-square_binary64_773` `remove-double-neg_binary64_748` `pow-sqr_binary64_733`
2×	`difference-of-squares_binary64_729` `cancel-sign-sub_binary64_725` `distribute-frac-neg_binary64_723`
1×	`log-E_binary64_850` `1-exp_binary64_804` `exp-1-e_binary64_803` `rem-log-exp_binary64_801` `cube-mult_binary64_790` `rem-3cbrt-lft_binary64_785` `/-rgt-identity_binary64_751` `+-lft-identity_binary64_744` `+-inverses_binary64_739` `distribute-lft-out--_binary64_712` `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` `pow-base-0_binary64_844` `unpow1/3_binary64_827` `unpow2_binary64_825` `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` `e-exp-1_binary64_805` `exp-0_binary64_802` `cube-div_binary64_789` `rem-3cbrt-rft_binary64_786` `rem-cbrt-cube_binary64_784` `rem-cube-cbrt_binary64_783` `sqr-abs_binary64_775` `rem-square-sqrt_binary64_772` `div0_binary64_741` `*-inverses_binary64_740` `lft-mult-inverse_binary64_738` `rgt-mult-inverse_binary64_737` `remove-double-div_binary64_736` `distribute-neg-frac_binary64_724`

Counts

25 → 22

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	48	283
1	98	231
2	237	181
3	656	181
4	2890	181
5	4422	181
6	5002	181

prune14.0ms (0.3%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	21	1	22
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	22	1	23

Error

Counts

23 → 1

Compiler

Compiled 158 to 93 computations (41.1% saved)

localize2.0ms (0%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Error

Counts

0 → 0

Compiler

Compiled 0 to 0 computations (0% saved)

series0.0ms (0%)

Error: 0b
Counts: 0 → 0
Compiler: Compiled 0 to 0 computations (0% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

0× not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same 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 unpow3_binary64_826 unpow2_binary64_825 unpow1/2_binary64_824 pow-plus_binary64_823 exp-to-pow_binary64_822 pow-base-1_binary64_820 unpow0_binary64_819 unpow1_binary64_818 unpow-1_binary64_817 exp-lft-cube_binary64_816 exp-lft-sqr_binary64_815 exp-cbrt_binary64_814 exp-sqrt_binary64_813 exp-prod_binary64_812 div-exp_binary64_811 rec-exp_binary64_810 prod-exp_binary64_809 exp-diff_binary64_808 exp-neg_binary64_807 exp-sum_binary64_806 e-exp-1_binary64_805 1-exp_binary64_804 exp-1-e_binary64_803 exp-0_binary64_802 rem-log-exp_binary64_801 rem-exp-log_binary64_800 cube-unmult_binary64_797 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 sqr-neg_binary64_774 rem-sqrt-square_binary64_773 rem-square-sqrt_binary64_772 times-frac_binary64_766 div-sub_binary64_765 neg-mul-1_binary64_756 neg-sub0_binary64_755 unsub-neg_binary64_754 sub-neg_binary64_753 mul-1-neg_binary64_752 /-rgt-identity_binary64_751 *-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 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 sqr-pow_binary64_732 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-inv_binary64_726 cancel-sign-sub_binary64_725 distribute-neg-frac_binary64_724 distribute-frac-neg_binary64_723 distribute-neg-out_binary64_722 distribute-neg-in_binary64_721 distribute-rgt-neg-out_binary64_720 distribute-lft-neg-out_binary64_719 distribute-rgt-neg-in_binary64_718 distribute-lft-neg-in_binary64_717 distribute-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 distribute-rgt-in_binary64_710 distribute-lft-in_binary64_709 count-2_binary64_708 associate-/l/_binary64_707 associate-/r/_binary64_706 associate-/l*_binary64_705 associate-/r*_binary64_704 associate-*l/_binary64_703 associate-*r/_binary64_702 associate-*l*_binary64_701 associate-*r*_binary64_700 associate--r-_binary64_699 associate--l-_binary64_698 associate--l+_binary64_697 associate--r+_binary64_696 associate-+l-_binary64_695 associate-+r-_binary64_694 associate-+l+_binary64_693 associate-+r+_binary64_692 *-commutative_binary64_691 +-commutative_binary64_690

Counts

0 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0
1	0	0

prune0.0ms (0%)

Pruning

1 alts after pruning (0 fresh and 1 done)

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

Error

Counts

1 → 1

Compiler

Compiled 0 to 0 computations (0% saved)

regimes236.0ms (4.5%)

Accuracy

Total 0b remaining (0%)

Threshold costs 0b (0%)

Compiler

Compiled 2759 to 2072 computations (24.9% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	3
1	3	3

end0.0ms (0%)

sample3.4s (64.1%)

Algorithm

1×

intervals

Results

1.3s	4181×	body	1024	valid
445.0ms	2091×	body	512	valid
243.0ms	513×	body	2048	valid
132.0ms	1044×	body	256	valid
96.0ms	8000×	pre	128	true
10.0ms	171×	body	128	valid

Compiler

Compiled 925 to 697 computations (24.6% saved)

Details

analyze382.0ms (7.3%)

sample88.0ms (1.7%)

simplify230.0ms (4.4%)

prune2.0ms (0%)

localize10.0ms (0.2%)

rewrite140.0ms (2.7%)

series385.0ms (7.4%)

simplify108.0ms (2.1%)

prune88.0ms (1.7%)

localize5.0ms (0.1%)

rewrite28.0ms (0.5%)

series80.0ms (1.5%)

simplify71.0ms (1.3%)

prune14.0ms (0.3%)

localize2.0ms (0%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify8.0ms (0.1%)

prune0.0ms (0%)

regimes236.0ms (4.5%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample3.4s (64.1%)

Profiling