Details

analyze602.0ms (13.1%)

Algorithm

1×	search
2×	egg-herbie

Rules

376×	`distribute-rgt-in_binary64_710`
360×	`unsub-neg_binary64_754`
336×	`sub-neg_binary64_753`
225×	`associate-+r+_binary64_692`
220×	`distribute-lft-in_binary64_709`
207×	`associate-+l+_binary64_693`
195×	`associate-+l-_binary64_695`
174×	`associate--r+_binary64_696`
147×	`distribute-neg-in_binary64_721`
132×	`cancel-sign-sub-inv_binary64_726`
102×	`associate--r-_binary64_699`
99×	`neg-mul-1_binary64_756` `distribute-lft-neg-out_binary64_719`
93×	`associate--l+_binary64_697`
81×	`neg-sub0_binary64_755` `distribute-rgt-neg-out_binary64_720`
75×	`sub0-neg_binary64_747` `distribute-rgt-neg-in_binary64_718`
66×	`associate-+r-_binary64_694`
60×	`distribute-neg-out_binary64_722`
57×	`-rgt-identity_binary64_750` `associate-l*_binary64_701`
55×	`*-commutative_binary64_691`
51×	`associate-r_binary64_700`
37×	`+-commutative_binary64_690`
36×	`distribute-rgt-out_binary64_713`
33×	`distribute-rgt-out--_binary64_714`
21×	`*-lft-identity_binary64_749` `remove-double-neg_binary64_748`
18×	`mul0-rgt_binary64_743` `mul0-lft_binary64_742` `cancel-sign-sub_binary64_725` `associate--l-_binary64_698`
15×	`+-rgt-identity_binary64_745` `distribute-lft-neg-in_binary64_717`
12×	`--rgt-identity_binary64_746`
9×	`+-lft-identity_binary64_744` `distribute-lft-out--_binary64_712`
1×	`1-exp_binary64_804` `swap-x-y`
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` `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` `+-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` `distribute-neg-frac_binary64_724` `distribute-frac-neg_binary64_723` `distribute-rgt1-in_binary64_716` `distribute-lft1-in_binary64_715` `distribute-lft-out_binary64_711` `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`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	40
1	28	40
2	80	40
3	174	40
4	394	40
5	720	40
6	988	40
7	1832	40
8	1400	40
9	1481	40
10	1481	40
11	1487	40
12	1487	40
13	1429	40
0	3	3
1	3	3

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
21.8%	78%	0.1%	7
26.5%	73.3%	0.1%	8
36.7%	63.2%	0.1%	9
41.3%	49.9%	8.7%	10
47.2%	43.3%	9.5%	11
54.4%	35.5%	10.1%	12
57.9%	27.4%	14.7%	13
61.7%	23.2%	15.1%	14

Symmetry

(sort x y)

Compiler

Compiled 8 to 8 computations (0% saved)

sample25.0ms (0.5%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	128	valid
1.0ms	17×	body	128	invalid

Compiler

Compiled 15 to 18 computations (-20% saved)

simplify34.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

145×	`distribute-rgt-in_binary64_710`
135×	`cancel-sign-sub-inv_binary64_726`
117×	`sub-neg_binary64_753`
114×	`associate--r+_binary64_696`
105×	`unsub-neg_binary64_754`
78×	`distribute-lft-in_binary64_709`
75×	`associate-+r+_binary64_692`
72×	`associate-+l-_binary64_695`
69×	`associate-+l+_binary64_693`
62×	`distribute-neg-in_binary64_721`
46×	`associate--r-_binary64_699`
39×	`neg-mul-1_binary64_756`
37×	`neg-sub0_binary64_755`
36×	`distribute-lft-neg-out_binary64_719`
27×	`distribute-rgt-neg-out_binary64_720` `associate-l_binary64_701`
26×	`associate--l+_binary64_697` `*-commutative_binary64_691`
25×	`*-rgt-identity_binary64_750` `sub0-neg_binary64_747`
24×	`associate-r_binary64_700`
20×	`distribute-neg-out_binary64_722` `distribute-rgt-neg-in_binary64_718`
16×	`distribute-rgt-out--_binary64_714`
14×	`associate-+r-_binary64_694` `+-commutative_binary64_690`
12×	`distribute-rgt-out_binary64_713`
11×	`remove-double-neg_binary64_748`
10×	`mul0-rgt_binary64_743` `mul0-lft_binary64_742`
9×	`*-lft-identity_binary64_749`
7×	`+-rgt-identity_binary64_745` `distribute-lft-neg-in_binary64_717`
5×	`--rgt-identity_binary64_746`
4×	`associate--l-_binary64_698`
3×	`+-lft-identity_binary64_744` `distribute-lft-out--_binary64_712`
2×	`mul-1-neg_binary64_752`
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` `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` `/-rgt-identity_binary64_751` `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_binary64_725` `distribute-neg-frac_binary64_724` `distribute-frac-neg_binary64_723` `distribute-rgt1-in_binary64_716` `distribute-lft1-in_binary64_715` `distribute-lft-out_binary64_711` `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`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	14	10
2	32	10
3	66	10
4	162	10
5	287	10
6	387	10
7	671	10
8	623	10
9	612	10
10	612	10
11	569	10

prune1.0ms (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

0.0b

Counts

1 → 1

Compiler

Compiled 7 to 7 computations (0% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b	(*.f64 (+.f64 x y) (-.f64 1 z))

rewrite53.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

10×	`add-sqr-sqrt_binary64_782` `*-un-lft-identity_binary64_760`
6×	`cancel-sign-sub-inv_binary64_726` `associate-r_binary64_700`
5×	`add-cube-cbrt_binary64_795`
4×	`frac-times_binary64_770` `distribute-rgt-in_binary64_710` `distribute-lft-in_binary64_709` `associate-l_binary64_701`
3×	`pow1_binary64_821` `add-exp-log_binary64_798` `add-cbrt-cube_binary64_796` `flip3--_binary64_764` `flip3-+_binary64_763` `flip--_binary64_735` `flip-+_binary64_734`
2×	`sub-neg_binary64_753` `associate-l/_binary64_703` `associate-r/_binary64_702` `difference-of-squares_binary64_729`
1×	`pow-prod-down_binary64_831` `prod-exp_binary64_809` `add-log-exp_binary64_799` `cbrt-unprod_binary64_793` `unswap-sqr_binary64_728` `distribute-lft-out_binary64_711` `distribute-lft-out--_binary64_712` `*-commutative_binary64_691`

Counts

1 → 38

Calls

1 calls:

11.0ms

(*.f64 (+.f64 x y) (-.f64 1 z))

Compiler

Compiled 620 to 309 computations (50.2% saved)

series175.0ms (3.8%)

Error

0.0b

Counts

1 → 18

Calls

1 calls:

164.0ms

(*.f64 (+.f64 x y) (-.f64 1 z))

Compiler

Compiled 391 to 229 computations (41.4% saved)

simplify73.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

619×	`distribute-rgt-in_binary64_710`
579×	`distribute-lft-in_binary64_709`
426×	`unsub-neg_binary64_754`
274×	`distribute-lft-neg-out_binary64_719`
273×	`distribute-rgt-neg-out_binary64_720`
223×	`exp-prod_binary64_812`
219×	`*-commutative_binary64_691`
164×	`exp-sum_binary64_806`
140×	`exp-diff_binary64_808`
115×	`cancel-sign-sub-inv_binary64_726`
94×	`associate-l_binary64_701`
92×	`sub-neg_binary64_753` `associate-+l+_binary64_693`
90×	`exp-neg_binary64_807`
89×	`neg-sub0_binary64_755`
85×	`neg-mul-1_binary64_756`
80×	`associate-r_binary64_700`
76×	`associate-+r+_binary64_692`
71×	`distribute-neg-out_binary64_722`
64×	`*-lft-identity_binary64_749` `distribute-rgt-neg-in_binary64_718`
63×	`*-rgt-identity_binary64_750`
50×	`distribute-lft-neg-in_binary64_717`
37×	`sqr-pow_binary64_732` `+-commutative_binary64_690`
24×	`associate-+l-_binary64_695`
21×	`mul0-rgt_binary64_743` `mul0-lft_binary64_742`
18×	`unswap-sqr_binary64_728`
17×	`swap-sqr_binary64_727` `associate-+r-_binary64_694`
15×	`cube-prod_binary64_788`
14×	`distribute-neg-in_binary64_721`
13×	`distribute-rgt-out_binary64_713`
12×	`cancel-sign-sub_binary64_725`
10×	`distribute-rgt-out--_binary64_714`
9×	`log-prod_binary64_846` `sub0-neg_binary64_747` `associate--l+_binary64_697`
8×	`+-rgt-identity_binary64_745`
7×	`associate--r+_binary64_696`
6×	`pow-sqr_binary64_733`
5×	`unpow3_binary64_826` `cube-unmult_binary64_797`
4×	`unpow1/2_binary64_824` `difference-of-sqr-1_binary64_730` `distribute-lft-out_binary64_711`
3×	`cube-mult_binary64_790` `div-sub_binary64_765` `distribute-rgt1-in_binary64_716`
2×	`mul-1-neg_binary64_752` `difference-of-squares_binary64_729`
1×	`1-exp_binary64_804` `exp-1-e_binary64_803` `rem-3cbrt-lft_binary64_785` `sqr-neg_binary64_774` `rem-sqrt-square_binary64_773` `rem-square-sqrt_binary64_772`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_1023` `erf-erfc_binary64_1022` `erf-odd_binary64_1021` `if-if-and-not_binary64_1020` `if-if-and_binary64_1019` `if-if-or-not_binary64_1018` `if-if-or_binary64_1017` `if-not_binary64_1016` `if-same_binary64_1015` `if-false_binary64_1014` `if-true_binary64_1013` `not-gte_binary64_1012` `not-lte_binary64_1011` `not-gt_binary64_1010` `not-lt_binary64_1009` `gte-same_binary64_1008` `lte-same_binary64_1007` `gt-same_binary64_1006` `lt-same_binary64_1005` `sinh---cosh_binary64_952` `sinh-+-cosh_binary64_951` `sinh-cosh_binary64_950` `tanh-def-c_binary64_949` `tanh-def-b_binary64_948` `tanh-def-a_binary64_947` `cosh-def_binary64_946` `sinh-def_binary64_945` `tan-neg_binary64_892` `cos-neg_binary64_891` `sin-neg_binary64_890` `tan-0_binary64_889` `cos-0_binary64_888` `sin-0_binary64_887` `hang-m-tan_binary64_886` `hang-p-tan_binary64_885` `hang-m0-tan_binary64_884` `hang-p0-tan_binary64_883` `hang-0m-tan_binary64_882` `hang-0p-tan_binary64_881` `tan-+PI/2_binary64_880` `tan-+PI_binary64_879` `tan-PI_binary64_878` `tan-PI/3_binary64_877` `tan-PI/4_binary64_876` `tan-PI/6_binary64_875` `cos-+PI/2_binary64_874` `cos-+PI_binary64_873` `cos-PI_binary64_872` `cos-PI/2_binary64_871` `cos-PI/3_binary64_870` `cos-PI/4_binary64_869` `cos-PI/6_binary64_868` `sin-+PI/2_binary64_867` `sin-+PI_binary64_866` `sin-PI_binary64_865` `sin-PI/2_binary64_864` `sin-PI/3_binary64_863` `sin-PI/4_binary64_862` `sin-PI/6_binary64_861` `sub-1-sin_binary64_860` `sub-1-cos_binary64_859` `-1-add-sin_binary64_858` `-1-add-cos_binary64_857` `1-sub-sin_binary64_856` `1-sub-cos_binary64_855` `cos-sin-sum_binary64_854` `log-E_binary64_850` `log-pow_binary64_849` `log-rec_binary64_848` `log-div_binary64_847` `pow-base-0_binary64_844` `unpow1/3_binary64_827` `unpow2_binary64_825` `pow-plus_binary64_823` `exp-to-pow_binary64_822` `pow-base-1_binary64_820` `unpow0_binary64_819` `unpow1_binary64_818` `unpow-1_binary64_817` `exp-lft-cube_binary64_816` `exp-lft-sqr_binary64_815` `exp-cbrt_binary64_814` `exp-sqrt_binary64_813` `div-exp_binary64_811` `rec-exp_binary64_810` `prod-exp_binary64_809` `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-3cbrt-rft_binary64_786` `rem-cbrt-cube_binary64_784` `rem-cube-cbrt_binary64_783` `sqr-abs_binary64_775` `times-frac_binary64_766` `/-rgt-identity_binary64_751` `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` `distribute-neg-frac_binary64_724` `distribute-frac-neg_binary64_723` `distribute-lft1-in_binary64_715` `distribute-lft-out--_binary64_712` `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--r-_binary64_699` `associate--l-_binary64_698`

Counts

56 → 50

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	98	846
1	287	732
2	897	732
3	2775	732
4	4512	732
5	4978	732

prune43.0ms (0.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	47	3	50
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	47	4	51

Error

0.0b

Counts

51 → 4

Compiler

Compiled 624 to 280 computations (55.1% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (+.f64 y x) (neg.f64 (*.f64 z (+.f64 y x))))
0.0b	(*.f64 z (+.f64 y x))

rewrite60.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

14×	`*-un-lft-identity_binary64_760`
12×	`add-log-exp_binary64_799`
6×	`add-sqr-sqrt_binary64_782` `flip3-+_binary64_763` `associate-*r/_binary64_702` `flip-+_binary64_734` `sum-log_binary64_851`
5×	`distribute-lft-out_binary64_711`
4×	`pow1_binary64_821` `add-exp-log_binary64_798` `add-cbrt-cube_binary64_796` `add-cube-cbrt_binary64_795` `associate-r_binary64_700` `distribute-neg-frac_binary64_724` `frac-add_binary64_768`
3×	`associate-l_binary64_701` `distribute-lft-neg-in_binary64_717`
2×	`distribute-rgt-in_binary64_710` `distribute-lft-in_binary64_709` `neg-log_binary64_853` `distribute-rgt-out_binary64_713` `distribute-neg-in_binary64_721` `associate-+r+_binary64_692`
1×	`pow-prod-down_binary64_831` `prod-exp_binary64_809` `cbrt-unprod_binary64_793` `unswap-sqr_binary64_728` `*-commutative_binary64_691` `unsub-neg_binary64_754` `distribute-rgt1-in_binary64_716` `neg-sub0_binary64_755` `associate-+r-_binary64_694` `associate-+l+_binary64_693` `+-commutative_binary64_690`

Counts

2 → 51

Calls

2 calls:

8.0ms	(+.f64 (+.f64 y x) (neg.f64 (*.f64 z (+.f64 y x))))
7.0ms	(*.f64 z (+.f64 y x))

Compiler

Compiled 952 to 248 computations (73.9% saved)

series345.0ms (7.5%)

Error

0.0b

Counts

2 → 33

Calls

2 calls:

199.0ms	(+.f64 (+.f64 y x) (neg.f64 (*.f64 z (+.f64 y x))))
126.0ms	(*.f64 z (+.f64 y x))

Compiler

Compiled 801 to 439 computations (45.2% saved)

simplify95.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

596×	`unsub-neg_binary64_754`
409×	`times-frac_binary64_766`
394×	`associate-+l+_binary64_693`
354×	`*-commutative_binary64_691`
329×	`associate-+r+_binary64_692`
223×	`neg-sub0_binary64_755`
210×	`neg-mul-1_binary64_756`
165×	`distribute-rgt-in_binary64_710`
163×	`associate--r+_binary64_696`
157×	`cancel-sign-sub-inv_binary64_726`
150×	`distribute-lft-in_binary64_709`
142×	`exp-sum_binary64_806`
137×	`associate-l_binary64_701`
127×	`associate-r_binary64_700`
118×	`distribute-lft-neg-out_binary64_719`
113×	`distribute-rgt-neg-in_binary64_718`
112×	`exp-prod_binary64_812`
111×	`+-commutative_binary64_690`
105×	`exp-diff_binary64_808`
104×	`distribute-rgt-neg-out_binary64_720` `associate--l+_binary64_697`
92×	`distribute-lft-neg-in_binary64_717`
83×	`distribute-neg-in_binary64_721`
80×	`distribute-rgt-out_binary64_713`
73×	`sub-neg_binary64_753`
64×	`associate-+l-_binary64_695`
47×	`cube-prod_binary64_788`
43×	`log-prod_binary64_846`
33×	`associate-+r-_binary64_694`
28×	`sqr-pow_binary64_732` `distribute-rgt-out--_binary64_714`
21×	`associate--r-_binary64_699`
18×	`associate--l-_binary64_698`
17×	`distribute-rgt1-in_binary64_716`
16×	`div-exp_binary64_811` `*-lft-identity_binary64_749`
15×	`prod-exp_binary64_809`
14×	`div-sub_binary64_765` `*-rgt-identity_binary64_750` `swap-sqr_binary64_727`
13×	`rec-exp_binary64_810` `mul0-rgt_binary64_743` `mul0-lft_binary64_742`
11×	`unpow3_binary64_826`
10×	`cube-mult_binary64_790` `cube-neg_binary64_787`
8×	`distribute-lft-out_binary64_711` `associate-/r*_binary64_704`
7×	`mul-1-neg_binary64_752` `remove-double-neg_binary64_748` `associate-/l*_binary64_705`
6×	`sqr-neg_binary64_774` `unswap-sqr_binary64_728`
5×	`cancel-sign-sub_binary64_725` `distribute-neg-out_binary64_722` `distribute-lft1-in_binary64_715`
4×	`pow-plus_binary64_823` `sub0-neg_binary64_747` `+-rgt-identity_binary64_745` `difference-of-squares_binary64_729` `distribute-lft-out--_binary64_712`
3×	`cube-unmult_binary64_797` `associate-*r/_binary64_702`
2×	`rem-sqrt-square_binary64_773`
1×	`unpow1/2_binary64_824` `exp-neg_binary64_807` `1-exp_binary64_804` `exp-1-e_binary64_803` `/-rgt-identity_binary64_751` `--rgt-identity_binary64_746` `+-lft-identity_binary64_744` `pow-sqr_binary64_733` `associate-*l/_binary64_703`
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` `unpow2_binary64_825` `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` `e-exp-1_binary64_805` `exp-0_binary64_802` `rem-log-exp_binary64_801` `rem-exp-log_binary64_800` `cube-div_binary64_789` `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` `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` `count-2_binary64_708` `associate-/l/_binary64_707` `associate-/r/_binary64_706`

Counts

84 → 66

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	123	1168
1	364	1003
2	1498	960
3	3819	960
4	4759	960
5	5164	960

prune51.0ms (1.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	64	2	66
Fresh	1	1	2
Picked	1	0	1
Done	0	1	1
Total	66	4	70

Error

Counts

70 → 4

Compiler

Compiled 867 to 294 computations (66.1% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (+.f64 y x) (neg.f64 (+.f64 (.f64 y z) (.f64 x z))))
0.0b	(+.f64 (.f64 y z) (.f64 x z))

rewrite61.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

21×	`add-log-exp_binary64_799`
15×	`*-un-lft-identity_binary64_760`
12×	`sum-log_binary64_851`
7×	`distribute-lft-out_binary64_711`
6×	`flip3-+_binary64_763` `flip-+_binary64_734` `distribute-rgt-out_binary64_713`
4×	`neg-log_binary64_853` `distribute-neg-frac_binary64_724` `frac-add_binary64_768`
3×	`distribute-lft-neg-in_binary64_717`
2×	`pow1_binary64_821` `add-exp-log_binary64_798` `add-cbrt-cube_binary64_796` `add-cube-cbrt_binary64_795` `add-sqr-sqrt_binary64_782` `+-commutative_binary64_690` `distribute-rgt-neg-in_binary64_718`
1×	`unsub-neg_binary64_754` `distribute-rgt1-in_binary64_716` `neg-sub0_binary64_755` `associate-+r-_binary64_694` `associate-+l+_binary64_693` `distribute-neg-in_binary64_721` `associate-+r+_binary64_692`

Counts

2 → 43

Calls

2 calls:

12.0ms	(+.f64 (+.f64 y x) (neg.f64 (+.f64 (.f64 y z) (.f64 x z))))
4.0ms	(+.f64 (.f64 y z) (.f64 x z))

Compiler

Compiled 1019 to 203 computations (80.1% saved)

series398.0ms (8.6%)

Error

Counts

2 → 33

Calls

2 calls:

228.0ms	(+.f64 (+.f64 y x) (neg.f64 (+.f64 (.f64 y z) (.f64 x z))))
150.0ms	(+.f64 (.f64 y z) (.f64 x z))

Compiler

Compiled 801 to 439 computations (45.2% saved)

simplify81.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

370×	`associate-+l+_binary64_693`
316×	`associate-+r+_binary64_692`
282×	`cancel-sign-sub-inv_binary64_726`
253×	`times-frac_binary64_766`
180×	`distribute-rgt-neg-in_binary64_718`
155×	`distribute-rgt-in_binary64_710`
152×	`distribute-lft-neg-in_binary64_717`
148×	`associate--r+_binary64_696`
137×	`exp-sum_binary64_806`
135×	`distribute-lft-in_binary64_709`
126×	`distribute-lft-neg-out_binary64_719`
123×	`associate-l_binary64_701`
120×	`distribute-rgt-neg-out_binary64_720`
116×	`distribute-rgt-out_binary64_713`
112×	`associate-r_binary64_700`
111×	`associate--l+_binary64_697`
92×	`exp-prod_binary64_812`
89×	`sub-neg_binary64_753`
81×	`exp-diff_binary64_808` `distribute-neg-in_binary64_721`
73×	`*-commutative_binary64_691`
71×	`associate-+l-_binary64_695`
61×	`cube-prod_binary64_788`
58×	`neg-sub0_binary64_755`
57×	`unsub-neg_binary64_754`
51×	`neg-mul-1_binary64_756`
49×	`distribute-rgt-out--_binary64_714`
40×	`associate-+r-_binary64_694`
37×	`distribute-lft-out_binary64_711` `+-commutative_binary64_690`
35×	`sqr-pow_binary64_732`
33×	`log-prod_binary64_846`
21×	`associate--r-_binary64_699`
20×	`associate--l-_binary64_698`
18×	`unswap-sqr_binary64_728`
17×	`prod-exp_binary64_809` `associate-/l*_binary64_705`
15×	`associate-/r*_binary64_704`
14×	`div-exp_binary64_811` `associate-*r/_binary64_702`
13×	`swap-sqr_binary64_727` `distribute-neg-out_binary64_722`
11×	`distribute-lft-out--_binary64_712`
10×	`unpow3_binary64_826`
9×	`cube-mult_binary64_790` `associate-*l/_binary64_703`
8×	`remove-double-neg_binary64_748` `mul0-rgt_binary64_743` `mul0-lft_binary64_742`
7×	`cube-neg_binary64_787` `mul-1-neg_binary64_752`
6×	`cancel-sign-sub_binary64_725` `distribute-rgt1-in_binary64_716`
5×	`sqr-neg_binary64_774` `sub0-neg_binary64_747` `difference-of-squares_binary64_729`
4×	`+-rgt-identity_binary64_745`
3×	`pow-plus_binary64_823` `rec-exp_binary64_810` `*-rgt-identity_binary64_750`
2×	`cube-unmult_binary64_797` `*-lft-identity_binary64_749` `pow-sqr_binary64_733` `distribute-lft1-in_binary64_715`
1×	`exp-neg_binary64_807` `1-exp_binary64_804` `exp-1-e_binary64_803` `/-rgt-identity_binary64_751` `--rgt-identity_binary64_746` `+-lft-identity_binary64_744`
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` `unpow2_binary64_825` `unpow1/2_binary64_824` `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` `e-exp-1_binary64_805` `exp-0_binary64_802` `rem-log-exp_binary64_801` `rem-exp-log_binary64_800` `cube-div_binary64_789` `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-sqrt-square_binary64_773` `rem-square-sqrt_binary64_772` `div-sub_binary64_765` `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` `count-2_binary64_708` `associate-/l/_binary64_707` `associate-/r/_binary64_706`

Counts

76 → 61

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	116	1220
1	368	1151
2	1587	1015
3	4611	1015
4	5237	1015

prune46.0ms (1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	61	0	61
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	61	4	65

Error

Counts

65 → 4

Compiler

Compiled 855 to 274 computations (68% saved)

localize7.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (-.f64 1 z))
0.0b	(sqrt.f64 (-.f64 1 z))
0.1b	(.f64 (.f64 (+.f64 y x) (sqrt.f64 (-.f64 1 z))) (sqrt.f64 (-.f64 1 z)))
0.1b	(*.f64 (+.f64 y x) (sqrt.f64 (-.f64 1 z)))

rewrite215.0ms (4.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

46×	`sqrt-div_binary64_777`
32×	`frac-times_binary64_770`
29×	`add-sqr-sqrt_binary64_782`
25×	`*-un-lft-identity_binary64_760` `sqrt-prod_binary64_776`
23×	`flip3--_binary64_764` `flip--_binary64_735`
18×	`associate-r_binary64_700`
16×	`associate-*l/_binary64_703`
13×	`pow1_binary64_821`
12×	`flip3-+_binary64_763` `flip-+_binary64_734`
11×	`add-exp-log_binary64_798` `add-cbrt-cube_binary64_796` `add-cube-cbrt_binary64_795`
10×	`associate-*r/_binary64_702`
8×	`difference-of-squares_binary64_729`
5×	`associate-l_binary64_701`
4×	`pow-prod-down_binary64_831` `prod-exp_binary64_809` `add-log-exp_binary64_799` `cbrt-unprod_binary64_793` `distribute-lft-out--_binary64_712`
2×	`unswap-sqr_binary64_728` `*-commutative_binary64_691` `pow1/2_binary64_840` `sqrt-pow1_binary64_778` `rem-sqrt-square_binary64_773`
1×	`distribute-lft-out_binary64_711`

Counts

4 → 120

Calls

4 calls:

17.0ms	(.f64 (.f64 (+.f64 y x) (sqrt.f64 (-.f64 1 z))) (sqrt.f64 (-.f64 1 z)))
11.0ms	(*.f64 (+.f64 y x) (sqrt.f64 (-.f64 1 z)))
4.0ms	(sqrt.f64 (-.f64 1 z))
4.0ms	(sqrt.f64 (-.f64 1 z))

Compiler

Compiled 3025 to 1921 computations (36.5% saved)

series499.0ms (10.9%)

Error

Counts

4 → 48

Calls

4 calls:

226.0ms	(*.f64 (+.f64 y x) (sqrt.f64 (-.f64 1 z)))
185.0ms	(.f64 (.f64 (+.f64 y x) (sqrt.f64 (-.f64 1 z))) (sqrt.f64 (-.f64 1 z)))
26.0ms	(sqrt.f64 (-.f64 1 z))
25.0ms	(sqrt.f64 (-.f64 1 z))

Compiler

Compiled 1647 to 1207 computations (26.7% saved)

simplify122.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

580×	`associate--l+_binary64_697`
498×	`sub-neg_binary64_753`
373×	`*-commutative_binary64_691`
268×	`cancel-sign-sub-inv_binary64_726`
251×	`distribute-neg-in_binary64_721` `associate-l_binary64_701`
219×	`associate--l-_binary64_698`
217×	`associate--r+_binary64_696`
201×	`associate-+l+_binary64_693`
181×	`distribute-rgt-neg-in_binary64_718`
172×	`associate-r_binary64_700`
147×	`+-commutative_binary64_690`
146×	`distribute-lft-neg-in_binary64_717`
139×	`associate-+r+_binary64_692`
134×	`unsub-neg_binary64_754`
101×	`neg-sub0_binary64_755`
99×	`neg-mul-1_binary64_756`
97×	`distribute-rgt-in_binary64_710`
92×	`distribute-lft-in_binary64_709`
78×	`distribute-rgt-out_binary64_713`
69×	`exp-prod_binary64_812`
59×	`sqr-pow_binary64_732`
58×	`exp-sum_binary64_806`
49×	`distribute-rgt-out--_binary64_714`
47×	`distribute-lft-out_binary64_711`
41×	`associate-+l-_binary64_695`
37×	`distribute-lft-neg-out_binary64_719`
32×	`unswap-sqr_binary64_728`
27×	`exp-diff_binary64_808`
26×	`*-lft-identity_binary64_749`
25×	`swap-sqr_binary64_727` `associate-+r-_binary64_694`
19×	`*-rgt-identity_binary64_750`
18×	`sub0-neg_binary64_747`
17×	`log-prod_binary64_846`
15×	`cube-prod_binary64_788` `distribute-rgt-neg-out_binary64_720`
13×	`+-rgt-identity_binary64_745`
12×	`associate--r-_binary64_699`
11×	`pow-sqr_binary64_733` `associate-/l*_binary64_705`
10×	`distribute-neg-out_binary64_722` `distribute-rgt1-in_binary64_716`
9×	`distribute-lft-out--_binary64_712`
7×	`rem-sqrt-square_binary64_773`
6×	`cube-unmult_binary64_797` `cancel-sign-sub_binary64_725`
5×	`rem-square-sqrt_binary64_772`
4×	`unpow3_binary64_826` `difference-of-sqr-1_binary64_730`
3×	`unpow1/2_binary64_824` `cube-mult_binary64_790`
2×	`pow-plus_binary64_823` `div-sub_binary64_765` `mul-1-neg_binary64_752` `difference-of-squares_binary64_729` `count-2_binary64_708` `associate-/l/_binary64_707` `associate-*r/_binary64_702`
1×	`unpow2_binary64_825` `unpow1_binary64_818` `1-exp_binary64_804` `exp-1-e_binary64_803` `associate-/r/_binary64_706` `associate-/r*_binary64_704`
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` `exp-to-pow_binary64_822` `pow-base-1_binary64_820` `unpow0_binary64_819` `unpow-1_binary64_817` `exp-lft-cube_binary64_816` `exp-lft-sqr_binary64_815` `exp-cbrt_binary64_814` `exp-sqrt_binary64_813` `div-exp_binary64_811` `rec-exp_binary64_810` `prod-exp_binary64_809` `exp-neg_binary64_807` `e-exp-1_binary64_805` `exp-0_binary64_802` `rem-log-exp_binary64_801` `rem-exp-log_binary64_800` `cube-div_binary64_789` `cube-neg_binary64_787` `rem-3cbrt-rft_binary64_786` `rem-3cbrt-lft_binary64_785` `rem-cbrt-cube_binary64_784` `rem-cube-cbrt_binary64_783` `sqr-abs_binary64_775` `sqr-neg_binary64_774` `times-frac_binary64_766` `/-rgt-identity_binary64_751` `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` `distribute-neg-frac_binary64_724` `distribute-frac-neg_binary64_723` `distribute-lft1-in_binary64_715` `associate-l/_binary64_703`

Counts

168 → 131

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	193	3069
1	516	2806
2	1639	2779
3	2981	2749
4	5414	2749

prune134.0ms (2.9%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	131	0	131
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	131	4	135

Error

Counts

135 → 4

Compiler

Compiled 2445 to 1410 computations (42.3% saved)

regimes450.0ms (9.8%)

Accuracy

Total 0.0b remaining (91.2%)

Threshold costs 0.0b (91.2%)

Compiler

Compiled 3785 to 2976 computations (21.4% saved)

bsearch0.0ms (0%)

simplify9.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

7×	`+-commutative_binary64_690`
6×	`*-commutative_binary64_691`
5×	`neg-mul-1_binary64_756` `neg-sub0_binary64_755` `sub-neg_binary64_753`
3×	`unsub-neg_binary64_754`
2×	`cancel-sign-sub-inv_binary64_726` `distribute-neg-in_binary64_721` `distribute-rgt-neg-in_binary64_718` `distribute-lft-neg-in_binary64_717`
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_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`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	20	13
2	32	13
3	43	13
4	49	13
5	51	13
6	51	13

Remove

(sort x y)

Compiler

Compiled 18 to 12 computations (33.3% saved)

end0.0ms (0%)

sample1.0s (21.8%)

Algorithm

1×

intervals

Results

194.0ms	7998×	body	128	valid
13.0ms	600×	body	128	invalid
0.0ms	2×	body	512	valid

Compiler

Compiled 558 to 436 computations (21.9% saved)

Iter	Nodes	Cost
0	8	10
1	14	10
2	32	10
3	66	10
4	162	10
5	287	10
6	387	10
7	671	10
8	623	10
9	612	10
10	612	10
11	569	10

Iter	Nodes	Cost
0	8	10
1	14	10
2	32	10
3	66	10
4	162	10
5	287	10
6	387	10
7	671	10
8	623	10
9	612	10
10	612	10
11	569	10

Details

analyze602.0ms (13.1%)

sample25.0ms (0.5%)

simplify34.0ms (0.7%)

prune1.0ms (0%)

localize5.0ms (0.1%)

rewrite53.0ms (1.2%)

series175.0ms (3.8%)

simplify73.0ms (1.6%)

prune43.0ms (0.9%)

localize6.0ms (0.1%)

rewrite60.0ms (1.3%)

series345.0ms (7.5%)

simplify95.0ms (2.1%)

prune51.0ms (1.1%)

localize8.0ms (0.2%)

rewrite61.0ms (1.3%)

series398.0ms (8.6%)

simplify81.0ms (1.8%)

prune46.0ms (1%)

localize7.0ms (0.2%)

rewrite215.0ms (4.7%)

series499.0ms (10.9%)

simplify122.0ms (2.6%)

prune134.0ms (2.9%)

regimes450.0ms (9.8%)

bsearch0.0ms (0%)

simplify9.0ms (0.2%)

end0.0ms (0%)

sample1.0s (21.8%)

Profiling

Iter	Nodes	Cost
0	8	10
1	14	10
2	32	10
3	66	10
4	162	10
5	287	10
6	387	10
7	671	10
8	623	10
9	612	10
10	612	10
11	569	10