Details

analyze296.0ms (10%)

Algorithm

1×	search
2×	egg-herbie

Rules

656×	`sub-neg_binary64_753`
524×	`cancel-sign-sub-inv_binary64_726`
504×	`associate-l_binary64_701`
330×	`associate-r_binary64_700`
320×	`distribute-rgt-neg-in_binary64_718`
304×	`sqr-pow_binary64_732`
268×	`distribute-neg-in_binary64_721`
264×	`distribute-lft-neg-in_binary64_717`
254×	`unsub-neg_binary64_754`
244×	`associate--r+_binary64_696`
240×	`distribute-rgt-in_binary64_710`
236×	`neg-sub0_binary64_755`
228×	`neg-mul-1_binary64_756`
226×	`associate-+l-_binary64_695`
196×	`+-commutative_binary64_690`
180×	`distribute-lft-in_binary64_709`
152×	`unswap-sqr_binary64_728`
150×	`distribute-lft-neg-out_binary64_719`
134×	`sub0-neg_binary64_747`
132×	`associate--r-_binary64_699`
118×	`cube-prod_binary64_788`
116×	`*-commutative_binary64_691`
114×	`--rgt-identity_binary64_746`
102×	`distribute-rgt-neg-out_binary64_720`
100×	`pow-sqr_binary64_733`
98×	`associate--l+_binary64_697`
92×	`distribute-rgt-out--_binary64_714` `distribute-lft-out--_binary64_712`
88×	`remove-double-neg_binary64_748`
80×	`unpow3_binary64_826`
72×	`distribute-lft-out_binary64_711`
70×	`cube-mult_binary64_790` `swap-sqr_binary64_727`
62×	`associate-+r-_binary64_694`
60×	`distribute-rgt-out_binary64_713`
56×	`pow-plus_binary64_823`
42×	`distribute-neg-out_binary64_722`
40×	`associate--l-_binary64_698`
30×	`mul0-rgt_binary64_743` `mul0-lft_binary64_742` `associate-+r+_binary64_692`
26×	`+-rgt-identity_binary64_745`
22×	`sqr-neg_binary64_774`
20×	`cancel-sign-sub_binary64_725`
18×	`associate-+l+_binary64_693`
10×	`unpow2_binary64_825` `rem-sqrt-square_binary64_773` `*-lft-identity_binary64_749`
8×	`unpow1/2_binary64_824` `unpow1_binary64_818` `cube-unmult_binary64_797` `cube-neg_binary64_787`
6×	`+-lft-identity_binary64_744`
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` `exp-to-pow_binary64_822` `pow-base-1_binary64_820` `unpow0_binary64_819` `unpow-1_binary64_817` `exp-lft-cube_binary64_816` `exp-lft-sqr_binary64_815` `exp-cbrt_binary64_814` `exp-sqrt_binary64_813` `exp-prod_binary64_812` `div-exp_binary64_811` `rec-exp_binary64_810` `prod-exp_binary64_809` `exp-diff_binary64_808` `exp-neg_binary64_807` `exp-sum_binary64_806` `e-exp-1_binary64_805` `exp-1-e_binary64_803` `exp-0_binary64_802` `rem-log-exp_binary64_801` `rem-exp-log_binary64_800` `cube-div_binary64_789` `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` `times-frac_binary64_766` `div-sub_binary64_765` `/-rgt-identity_binary64_751` `-rgt-identity_binary64_750` `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-neg-frac_binary64_724` `distribute-frac-neg_binary64_723` `distribute-rgt1-in_binary64_716` `distribute-lft1-in_binary64_715` `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	18	44
1	45	44
2	128	44
3	292	44
4	605	44
5	1611	44
6	3140	44
7	3420	44
8	4075	44
9	4184	44
10	4637	44
11	4959	44
12	4793	44
0	2	2
1	2	2

Search

True	Other	False	Iter
0%	0%	100%	0
0%	0%	100%	1

Compiler

Compiled 22 to 16 computations (27.3% saved)

sample24.0ms (0.8%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	128	valid
5.0ms	256×	pre	128	true

Compiler

Compiled 37 to 29 computations (21.6% saved)

simplify143.0ms (4.8%)

Algorithm

1×	egg-herbie

Rules

634×	`distribute-rgt-neg-in_binary64_718`
530×	`cancel-sign-sub-inv_binary64_726`
519×	`distribute-lft-neg-in_binary64_717`
486×	`sqr-pow_binary64_732`
309×	`neg-mul-1_binary64_756`
307×	`neg-sub0_binary64_755`
267×	`*-commutative_binary64_691`
212×	`sub-neg_binary64_753`
204×	`unswap-sqr_binary64_728`
201×	`cube-prod_binary64_788`
174×	`pow-sqr_binary64_733`
165×	`distribute-lft-neg-out_binary64_719`
146×	`distribute-rgt-neg-out_binary64_720`
131×	`associate--r+_binary64_696`
130×	`unpow3_binary64_826`
125×	`unsub-neg_binary64_754`
124×	`associate-l_binary64_701`
114×	`remove-double-neg_binary64_748`
108×	`distribute-neg-in_binary64_721`
97×	`associate-r_binary64_700`
91×	`+-commutative_binary64_690`
87×	`distribute-rgt-in_binary64_710`
79×	`cube-mult_binary64_790`
69×	`distribute-lft-in_binary64_709`
62×	`cancel-sign-sub_binary64_725`
60×	`pow-plus_binary64_823`
56×	`sqr-neg_binary64_774`
55×	`associate-+l-_binary64_695`
42×	`sub0-neg_binary64_747`
36×	`mul0-rgt_binary64_743` `mul0-lft_binary64_742`
35×	`swap-sqr_binary64_727`
34×	`--rgt-identity_binary64_746`
25×	`rem-sqrt-square_binary64_773`
24×	`*-lft-identity_binary64_749`
23×	`associate--l+_binary64_697`
14×	`associate-+r+_binary64_692`
13×	`*-rgt-identity_binary64_750`
12×	`unpow2_binary64_825` `unpow1/2_binary64_824` `unpow1_binary64_818`
11×	`cube-neg_binary64_787` `distribute-rgt-out--_binary64_714`
10×	`cube-unmult_binary64_797` `associate--r-_binary64_699` `associate-+l+_binary64_693`
4×	`associate-+r-_binary64_694`
2×	`+-rgt-identity_binary64_745` `+-lft-identity_binary64_744` `distribute-rgt-out_binary64_713` `associate--l-_binary64_698`
1×	`1-exp_binary64_804` `distribute-neg-out_binary64_722`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_1023` `erf-erfc_binary64_1022` `erf-odd_binary64_1021` `if-if-and-not_binary64_1020` `if-if-and_binary64_1019` `if-if-or-not_binary64_1018` `if-if-or_binary64_1017` `if-not_binary64_1016` `if-same_binary64_1015` `if-false_binary64_1014` `if-true_binary64_1013` `not-gte_binary64_1012` `not-lte_binary64_1011` `not-gt_binary64_1010` `not-lt_binary64_1009` `gte-same_binary64_1008` `lte-same_binary64_1007` `gt-same_binary64_1006` `lt-same_binary64_1005` `sinh---cosh_binary64_952` `sinh-+-cosh_binary64_951` `sinh-cosh_binary64_950` `tanh-def-c_binary64_949` `tanh-def-b_binary64_948` `tanh-def-a_binary64_947` `cosh-def_binary64_946` `sinh-def_binary64_945` `tan-neg_binary64_892` `cos-neg_binary64_891` `sin-neg_binary64_890` `tan-0_binary64_889` `cos-0_binary64_888` `sin-0_binary64_887` `hang-m-tan_binary64_886` `hang-p-tan_binary64_885` `hang-m0-tan_binary64_884` `hang-p0-tan_binary64_883` `hang-0m-tan_binary64_882` `hang-0p-tan_binary64_881` `tan-+PI/2_binary64_880` `tan-+PI_binary64_879` `tan-PI_binary64_878` `tan-PI/3_binary64_877` `tan-PI/4_binary64_876` `tan-PI/6_binary64_875` `cos-+PI/2_binary64_874` `cos-+PI_binary64_873` `cos-PI_binary64_872` `cos-PI/2_binary64_871` `cos-PI/3_binary64_870` `cos-PI/4_binary64_869` `cos-PI/6_binary64_868` `sin-+PI/2_binary64_867` `sin-+PI_binary64_866` `sin-PI_binary64_865` `sin-PI/2_binary64_864` `sin-PI/3_binary64_863` `sin-PI/4_binary64_862` `sin-PI/6_binary64_861` `sub-1-sin_binary64_860` `sub-1-cos_binary64_859` `-1-add-sin_binary64_858` `-1-add-cos_binary64_857` `1-sub-sin_binary64_856` `1-sub-cos_binary64_855` `cos-sin-sum_binary64_854` `log-E_binary64_850` `log-pow_binary64_849` `log-rec_binary64_848` `log-div_binary64_847` `log-prod_binary64_846` `pow-base-0_binary64_844` `unpow1/3_binary64_827` `exp-to-pow_binary64_822` `pow-base-1_binary64_820` `unpow0_binary64_819` `unpow-1_binary64_817` `exp-lft-cube_binary64_816` `exp-lft-sqr_binary64_815` `exp-cbrt_binary64_814` `exp-sqrt_binary64_813` `exp-prod_binary64_812` `div-exp_binary64_811` `rec-exp_binary64_810` `prod-exp_binary64_809` `exp-diff_binary64_808` `exp-neg_binary64_807` `exp-sum_binary64_806` `e-exp-1_binary64_805` `exp-1-e_binary64_803` `exp-0_binary64_802` `rem-log-exp_binary64_801` `rem-exp-log_binary64_800` `cube-div_binary64_789` `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` `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` `difference-of-sqr--1_binary64_731` `difference-of-sqr-1_binary64_730` `difference-of-squares_binary64_729` `distribute-neg-frac_binary64_724` `distribute-frac-neg_binary64_723` `distribute-rgt1-in_binary64_716` `distribute-lft1-in_binary64_715` `distribute-lft-out--_binary64_712` `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	12	22
1	27	22
2	73	22
3	157	22
4	285	22
5	593	22
6	1042	22
7	1815	22
8	2169	22
9	2308	22
10	2558	22
11	2851	22
12	3174	22
13	4093	22
14	4954	22
15	4710	22

prune2.0ms (0.1%)

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

62.0b

Counts

1 → 1

Compiler

Compiled 15 to 11 computations (26.7% saved)

localize8.0ms (0.3%)

Local error

Found 1 expressions with local error:

62.0b

(-.f64 (*.f64 9 (pow.f64 x 4)) (*.f64 (*.f64 y y) (-.f64 (*.f64 y y) 2)))

rewrite36.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

52.0b

Rules

8×	`associate--r+_binary64_696`
7×	`cancel-sign-sub-inv_binary64_726`
4×	`distribute-rgt-in_binary64_710` `distribute-lft-in_binary64_709`
3×	`add-log-exp_binary64_799` `add-cube-cbrt_binary64_795` `add-sqr-sqrt_binary64_782` `*-un-lft-identity_binary64_760` `sub-neg_binary64_753`
1×	`diff-log_binary64_852` `pow1_binary64_821` `add-exp-log_binary64_798` `add-cbrt-cube_binary64_796` `flip3--_binary64_764` `flip--_binary64_735`

Counts

1 → 20

Calls

1 calls:

7.0ms

(-.f64 (*.f64 9 (pow.f64 x 4)) (*.f64 (*.f64 y y) (-.f64 (*.f64 y y) 2)))

Compiler

Compiled 549 to 311 computations (43.4% saved)

series130.0ms (4.4%)

Error

57.8b

Counts

1 → 7

Calls

1 calls:

125.0ms

(-.f64 (*.f64 9 (pow.f64 x 4)) (*.f64 (*.f64 y y) (-.f64 (*.f64 y y) 2)))

Compiler

Compiled 172 to 165 computations (4.1% saved)

simplify71.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

452×	`associate-l_binary64_701`
366×	`associate-r_binary64_700`
293×	`cancel-sign-sub-inv_binary64_726`
258×	`associate-+l+_binary64_693`
200×	`distribute-rgt-neg-in_binary64_718`
197×	`associate-+r+_binary64_692`
195×	`distribute-lft-neg-in_binary64_717`
186×	`exp-prod_binary64_812`
163×	`distribute-rgt-in_binary64_710` `distribute-lft-in_binary64_709`
137×	`unswap-sqr_binary64_728`
136×	`times-frac_binary64_766`
135×	`+-commutative_binary64_690`
104×	`distribute-lft-neg-out_binary64_719`
97×	`distribute-rgt-out_binary64_713`
94×	`distribute-rgt-neg-out_binary64_720`
91×	`*-commutative_binary64_691`
83×	`exp-sum_binary64_806`
79×	`distribute-neg-in_binary64_721`
71×	`distribute-lft-out_binary64_711`
68×	`sqr-pow_binary64_732` `associate--r+_binary64_696`
51×	`cube-prod_binary64_788`
47×	`sub-neg_binary64_753`
45×	`exp-diff_binary64_808`
38×	`neg-sub0_binary64_755`
34×	`unsub-neg_binary64_754`
32×	`neg-mul-1_binary64_756`
24×	`unpow3_binary64_826` `swap-sqr_binary64_727` `associate-+l-_binary64_695`
23×	`associate-/l*_binary64_705`
21×	`associate--l+_binary64_697`
16×	`cube-mult_binary64_790`
15×	`pow-plus_binary64_823`
14×	`difference-of-squares_binary64_729`
13×	`cube-unmult_binary64_797`
12×	`pow-sqr_binary64_733` `associate-/r*_binary64_704` `associate-+r-_binary64_694`
8×	`sqr-neg_binary64_774` `distribute-rgt-out--_binary64_714`
7×	`mul0-rgt_binary64_743` `mul0-lft_binary64_742`
6×	`sub0-neg_binary64_747`
5×	`+-rgt-identity_binary64_745` `associate-*r/_binary64_702`
4×	`exp-neg_binary64_807` `mul-1-neg_binary64_752` `distribute-lft-out--_binary64_712`
3×	`associate-/l/_binary64_707`
2×	`unpow2_binary64_825` `unpow1/2_binary64_824` `unpow1_binary64_818` `exp-lft-sqr_binary64_815` `div-exp_binary64_811` `rem-sqrt-square_binary64_773` `div-sub_binary64_765` `associate-/r/_binary64_706`
1×	`prod-exp_binary64_809` `1-exp_binary64_804` `cube-neg_binary64_787` `associate-*l/_binary64_703` `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` `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-cbrt_binary64_814` `exp-sqrt_binary64_813` `rec-exp_binary64_810` `e-exp-1_binary64_805` `exp-1-e_binary64_803` `exp-0_binary64_802` `rem-log-exp_binary64_801` `rem-exp-log_binary64_800` `cube-div_binary64_789` `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` `-rgt-identity_binary64_750` `-lft-identity_binary64_749` `remove-double-neg_binary64_748` `--rgt-identity_binary64_746` `+-lft-identity_binary64_744` `div0_binary64_741` `*-inverses_binary64_740` `+-inverses_binary64_739` `lft-mult-inverse_binary64_738` `rgt-mult-inverse_binary64_737` `remove-double-div_binary64_736` `difference-of-sqr--1_binary64_731` `difference-of-sqr-1_binary64_730` `cancel-sign-sub_binary64_725` `distribute-neg-frac_binary64_724` `distribute-frac-neg_binary64_723` `distribute-neg-out_binary64_722` `distribute-rgt1-in_binary64_716` `distribute-lft1-in_binary64_715` `count-2_binary64_708` `associate--r-_binary64_699`

Counts

27 → 22

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	46	601
1	140	544
2	467	544
3	2007	544
4	4538	544
5	4947	544

prune29.0ms (1%)

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

52.0b

Counts

23 → 1

Compiler

Compiled 472 to 338 computations (28.4% saved)

localize10.0ms (0.3%)

Local error

Found 1 expressions with local error:

23.0b

(-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4))

rewrite38.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

52.0b

Rules

7×	`cancel-sign-sub-inv_binary64_726`
3×	`add-log-exp_binary64_799` `add-cube-cbrt_binary64_795` `add-sqr-sqrt_binary64_782` `*-un-lft-identity_binary64_760` `unpow-prod-down_binary64_839`
1×	`diff-log_binary64_852` `pow1_binary64_821` `add-exp-log_binary64_798` `add-cbrt-cube_binary64_796` `flip3--_binary64_764` `sub-neg_binary64_753` `flip--_binary64_735` `sqr-pow_binary64_732`

Counts

1 → 18

Calls

1 calls:

7.0ms

(-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4))

Compiler

Compiled 463 to 346 computations (25.3% saved)

series310.0ms (10.4%)

Error

52.0b

Counts

1 → 12

Calls

1 calls:

300.0ms

(-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4))

Compiler

Compiled 432 to 351 computations (18.8% saved)

simplify83.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

509×	`unsub-neg_binary64_754`
421×	`times-frac_binary64_766`
357×	`distribute-rgt-in_binary64_710`
328×	`associate-l_binary64_701`
309×	`distribute-lft-in_binary64_709`
302×	`associate-r_binary64_700`
284×	`exp-prod_binary64_812`
239×	`unswap-sqr_binary64_728`
198×	`sqr-pow_binary64_732`
188×	`neg-sub0_binary64_755`
187×	`neg-mul-1_binary64_756`
158×	`cancel-sign-sub-inv_binary64_726`
152×	`cube-prod_binary64_788`
90×	`distribute-lft-neg-out_binary64_719`
76×	`distribute-rgt-neg-in_binary64_718`
75×	`distribute-rgt-neg-out_binary64_720`
70×	`distribute-lft-neg-in_binary64_717`
64×	`*-commutative_binary64_691`
62×	`unpow3_binary64_826`
60×	`sub-neg_binary64_753`
59×	`mul0-rgt_binary64_743` `mul0-lft_binary64_742`
54×	`exp-sum_binary64_806` `distribute-lft-out_binary64_711`
50×	`pow-plus_binary64_823`
49×	`distribute-rgt-out_binary64_713`
48×	`pow-sqr_binary64_733`
44×	`cube-mult_binary64_790`
32×	`swap-sqr_binary64_727`
30×	`exp-diff_binary64_808`
28×	`associate-+r+_binary64_692`
27×	`cube-unmult_binary64_797`
24×	`rem-sqrt-square_binary64_773`
23×	`associate-+l+_binary64_693`
21×	`+-commutative_binary64_690`
18×	`difference-of-squares_binary64_729`
11×	`associate-/l*_binary64_705`
10×	`sqr-neg_binary64_774` `sub0-neg_binary64_747`
9×	`unpow2_binary64_825` `associate-+l-_binary64_695`
8×	`div-sub_binary64_765` `+-rgt-identity_binary64_745` `+-lft-identity_binary64_744`
7×	`mul-1-neg_binary64_752`
5×	`unpow1/2_binary64_824` `unpow1_binary64_818` `--rgt-identity_binary64_746` `associate-+r-_binary64_694`
4×	`exp-neg_binary64_807` `associate-/r*_binary64_704`
3×	`associate-*r/_binary64_702`
2×	`cube-neg_binary64_787` `rem-square-sqrt_binary64_772` `distribute-neg-in_binary64_721` `associate-/l/_binary64_707` `associate-/r/_binary64_706` `associate--r+_binary64_696`
1×	`log-prod_binary64_846` `div-exp_binary64_811` `1-exp_binary64_804` `rem-3cbrt-rft_binary64_786` `rem-3cbrt-lft_binary64_785` `rem-cbrt-cube_binary64_784` `*-rgt-identity_binary64_750` `remove-double-neg_binary64_748`
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` `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` `rem-cube-cbrt_binary64_783` `sqr-abs_binary64_775` `/-rgt-identity_binary64_751` `-lft-identity_binary64_749` `div0_binary64_741` `-inverses_binary64_740` `+-inverses_binary64_739` `lft-mult-inverse_binary64_738` `rgt-mult-inverse_binary64_737` `remove-double-div_binary64_736` `difference-of-sqr--1_binary64_731` `difference-of-sqr-1_binary64_730` `cancel-sign-sub_binary64_725` `distribute-neg-frac_binary64_724` `distribute-frac-neg_binary64_723` `distribute-neg-out_binary64_722` `distribute-rgt1-in_binary64_716` `distribute-lft1-in_binary64_715` `distribute-rgt-out--_binary64_714` `distribute-lft-out--_binary64_712` `count-2_binary64_708` `associate-*l/_binary64_703` `associate--r-_binary64_699` `associate--l-_binary64_698` `associate--l+_binary64_697`

Counts

30 → 14

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	58	415
1	147	376
2	371	376
3	1416	376
4	3560	370
5	4443	370
6	5269	370

prune17.0ms (0.6%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	13	1	14
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	14	1	15

Error

52.0b

Counts

15 → 1

Compiler

Compiled 270 to 198 computations (26.7% saved)

localize13.0ms (0.4%)

Local error

Found 2 expressions with local error:

1.0b	(cbrt.f64 (pow.f64 (-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4)) 3))
23.0b	(-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4))

rewrite97.0ms (3.3%)

Algorithm

1×	rewrite-expression-head

Error

52.0b

Rules

12×	`cbrt-prod_binary64_791`
7×	`add-cube-cbrt_binary64_795` `add-sqr-sqrt_binary64_782` `*-un-lft-identity_binary64_760` `cancel-sign-sub-inv_binary64_726`
6×	`unpow-prod-down_binary64_839`
4×	`add-log-exp_binary64_799`
3×	`cube-prod_binary64_788`
2×	`pow1_binary64_821` `add-exp-log_binary64_798` `add-cbrt-cube_binary64_796` `flip3--_binary64_764` `flip--_binary64_735` `sqr-pow_binary64_732` `cube-div_binary64_789` `cbrt-div_binary64_792`
1×	`diff-log_binary64_852` `sub-neg_binary64_753` `pow1/3_binary64_842` `unpow3_binary64_826` `cube-mult_binary64_790` `rem-cbrt-cube_binary64_784`

Counts

2 → 41

Calls

2 calls:

9.0ms	(cbrt.f64 (pow.f64 (-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4)) 3))
7.0ms	(-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4))

Compiler

Compiled 1284 to 1004 computations (21.8% saved)

series601.0ms (20.2%)

Error

52.0b

Counts

2 → 24

Calls

2 calls:

289.0ms	(-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4))
288.0ms	(cbrt.f64 (pow.f64 (-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4)) 3))

Compiler

Compiled 954 to 789 computations (17.3% saved)

simplify73.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

790×	`unswap-sqr_binary64_728`
632×	`associate-l_binary64_701`
601×	`associate-r_binary64_700`
222×	`swap-sqr_binary64_727`
196×	`distribute-lft-in_binary64_709`
195×	`distribute-rgt-in_binary64_710`
130×	`sqr-pow_binary64_732`
101×	`*-commutative_binary64_691`
81×	`exp-prod_binary64_812`
62×	`cube-prod_binary64_788`
41×	`unsub-neg_binary64_754`
35×	`neg-sub0_binary64_755`
29×	`sub-neg_binary64_753`
28×	`neg-mul-1_binary64_756` `cancel-sign-sub-inv_binary64_726`
27×	`pow-plus_binary64_823`
25×	`unpow3_binary64_826`
24×	`cube-unmult_binary64_797`
23×	`distribute-rgt-neg-in_binary64_718`
22×	`exp-sum_binary64_806` `pow-sqr_binary64_733`
20×	`distribute-lft-neg-in_binary64_717`
18×	`difference-of-squares_binary64_729` `distribute-lft-neg-out_binary64_719`
17×	`cube-mult_binary64_790`
15×	`+-commutative_binary64_690`
12×	`rem-sqrt-square_binary64_773` `distribute-rgt-neg-out_binary64_720`
11×	`mul0-rgt_binary64_743` `mul0-lft_binary64_742` `distribute-rgt-out_binary64_713`
9×	`log-prod_binary64_846`
8×	`rem-cbrt-cube_binary64_784` `associate-+l+_binary64_693`
7×	`exp-diff_binary64_808` `associate-+r+_binary64_692`
5×	`unpow2_binary64_825` `unpow1/2_binary64_824` `unpow1_binary64_818`
4×	`mul-1-neg_binary64_752` `distribute-lft-out_binary64_711`
3×	`log-pow_binary64_849` `sqr-neg_binary64_774` `rem-square-sqrt_binary64_772` `times-frac_binary64_766` `sub0-neg_binary64_747` `+-rgt-identity_binary64_745` `associate-+l-_binary64_695` `associate-+r-_binary64_694`
2×	`rem-3cbrt-lft_binary64_785` `associate-/l*_binary64_705`
1×	`div-exp_binary64_811` `exp-neg_binary64_807` `1-exp_binary64_804` `rem-3cbrt-rft_binary64_786` `rem-cube-cbrt_binary64_783` `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-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` `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` `sqr-abs_binary64_775` `div-sub_binary64_765` `/-rgt-identity_binary64_751` `-rgt-identity_binary64_750` `-lft-identity_binary64_749` `remove-double-neg_binary64_748` `--rgt-identity_binary64_746` `+-lft-identity_binary64_744` `div0_binary64_741` `-inverses_binary64_740` `+-inverses_binary64_739` `lft-mult-inverse_binary64_738` `rgt-mult-inverse_binary64_737` `remove-double-div_binary64_736` `difference-of-sqr--1_binary64_731` `difference-of-sqr-1_binary64_730` `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-rgt1-in_binary64_716` `distribute-lft1-in_binary64_715` `distribute-rgt-out--_binary64_714` `distribute-lft-out--_binary64_712` `associate-/l/_binary64_707` `associate-/r/_binary64_706` `associate-/r_binary64_704` `associate-l/_binary64_703` `associate-r/_binary64_702` `associate--r-_binary64_699` `associate--l-_binary64_698` `associate--l+_binary64_697` `associate--r+_binary64_696`

Counts

65 → 36

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	91	1118
1	207	1024
2	593	1024
3	3047	1024
4	5079	1024

prune52.0ms (1.8%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	36	0	36
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	36	1	37

Error

52.0b

Counts

37 → 1

Compiler

Compiled 844 to 639 computations (24.3% saved)

regimes94.0ms (3.2%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

Compiler

Compiled 942 to 777 computations (17.5% saved)

bsearch0.0ms (0%)

simplify5.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

7×	`sub-neg_binary64_753` `*-commutative_binary64_691` `+-commutative_binary64_690`
5×	`neg-mul-1_binary64_756` `neg-sub0_binary64_755`
3×	`distribute-rgt-neg-in_binary64_718`
2×	`cancel-sign-sub-inv_binary64_726` `distribute-lft-neg-in_binary64_717`
1×	`distribute-lft-neg-out_binary64_719`
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` `unsub-neg_binary64_754` `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-neg-in_binary64_721` `distribute-rgt-neg-out_binary64_720`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	27
1	27	27
2	40	27
3	51	27
4	58	27
5	61	27
6	62	27
7	61	27

end0.0ms (0%)

sample844.0ms (28.4%)

Algorithm

1×

intervals

Results

280.0ms	8000×	body	128	valid
151.0ms	8000×	pre	128	true

Compiler

Compiled 152 to 126 computations (17.1% saved)

Details

analyze296.0ms (10%)

sample24.0ms (0.8%)

simplify143.0ms (4.8%)

prune2.0ms (0.1%)

localize8.0ms (0.3%)

rewrite36.0ms (1.2%)

series130.0ms (4.4%)

simplify71.0ms (2.4%)

prune29.0ms (1%)

localize10.0ms (0.3%)

rewrite38.0ms (1.3%)

series310.0ms (10.4%)

simplify83.0ms (2.8%)

prune17.0ms (0.6%)

localize13.0ms (0.4%)

rewrite97.0ms (3.3%)

series601.0ms (20.2%)

simplify73.0ms (2.4%)

prune52.0ms (1.8%)

regimes94.0ms (3.2%)

bsearch0.0ms (0%)

simplify5.0ms (0.2%)

end0.0ms (0%)

sample844.0ms (28.4%)

Profiling