Details

analyze781.0ms (5.7%)

Algorithm

1×	search
2×	egg-herbie

Rules

786×	`div-sub_binary64_765`
707×	`sub-neg_binary64_753`
532×	`associate-/l*_binary64_705`
324×	`neg-mul-1_binary64_756`
302×	`neg-sub0_binary64_755`
297×	`unsub-neg_binary64_754`
296×	`cancel-sign-sub-inv_binary64_726`
275×	`distribute-neg-frac_binary64_724`
257×	`distribute-rgt-neg-in_binary64_718`
253×	`distribute-rgt-in_binary64_710`
243×	`associate-r_binary64_700`
217×	`associate-/r*_binary64_704`
215×	`+-commutative_binary64_690`
207×	`associate-+l-_binary64_695`
200×	`distribute-neg-out_binary64_722`
198×	`distribute-frac-neg_binary64_723`
184×	`distribute-lft-in_binary64_709`
182×	`distribute-lft-neg-in_binary64_717`
181×	`distribute-rgt-neg-out_binary64_720`
172×	`associate-+r-_binary64_694`
164×	`distribute-lft-neg-out_binary64_719`
150×	`distribute-lft-out_binary64_711` `associate--l-_binary64_698`
130×	`associate-l_binary64_701`
99×	`*-commutative_binary64_691`
90×	`distribute-neg-in_binary64_721`
83×	`associate-/r/_binary64_706`
59×	`div0_binary64_741`
57×	`*-lft-identity_binary64_749`
56×	`mul0-rgt_binary64_743` `mul0-lft_binary64_742`
51×	`associate--r+_binary64_696`
38×	`+-lft-identity_binary64_744`
33×	`associate--r-_binary64_699`
32×	`*-rgt-identity_binary64_750`
27×	`/-rgt-identity_binary64_751` `sub0-neg_binary64_747`
26×	`remove-double-neg_binary64_748` `associate-/l/_binary64_707`
15×	`distribute-rgt-out_binary64_713`
12×	`+-rgt-identity_binary64_745` `associate-+r+_binary64_692`
11×	`associate-+l+_binary64_693`
10×	`distribute-rgt-out--_binary64_714`
8×	`swap-sqr_binary64_727`
6×	`associate--l+_binary64_697`
5×	`--rgt-identity_binary64_746`
4×	`sqr-neg_binary64_774` `cancel-sign-sub_binary64_725`
2×	`distribute-lft-out--_binary64_712`
1×	`1-exp_binary64_804` `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` `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` `rem-sqrt-square_binary64_773` `rem-square-sqrt_binary64_772` `times-frac_binary64_766` `mul-1-neg_binary64_752` `-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` `distribute-rgt1-in_binary64_716` `distribute-lft1-in_binary64_715` `count-2_binary64_708` `associate-r/_binary64_702`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	210
1	90	210
2	182	210
3	302	210
4	680	210
5	974	210
6	1317	210
7	2912	210
8	2833	210
9	3259	210
10	3681	210
11	3935	210
12	4985	210
0	4	4
1	4	4

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
6.2%	93.6%	0.2%	8
25%	74.9%	0.2%	9
28.1%	71.7%	0.2%	10
29.6%	70.2%	0.2%	11
53%	46.8%	0.2%	12
71.3%	28.5%	0.2%	13
71.7%	28.1%	0.2%	14

Compiler

Compiled 16 to 12 computations (25% saved)

sample23.0ms (0.2%)

Algorithm

1×

intervals

Results

10.0ms	256×	body	128	valid
1.0ms	21×	body	128	invalid

Compiler

Compiled 31 to 27 computations (12.9% saved)

simplify129.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

768×	`times-frac_binary64_766`
766×	`div-sub_binary64_765`
654×	`unswap-sqr_binary64_728`
570×	`unsub-neg_binary64_754`
551×	`cancel-sign-sub-inv_binary64_726`
484×	`sub-neg_binary64_753`
402×	`distribute-rgt-neg-in_binary64_718`
391×	`associate-/r/_binary64_706`
335×	`distribute-rgt-in_binary64_710`
299×	`distribute-lft-in_binary64_709`
279×	`associate-/l*_binary64_705`
268×	`neg-sub0_binary64_755`
241×	`neg-mul-1_binary64_756` `distribute-frac-neg_binary64_723`
217×	`distribute-lft-neg-in_binary64_717`
211×	`distribute-neg-frac_binary64_724`
187×	`+-commutative_binary64_690`
168×	`associate-+l-_binary64_695`
152×	`associate-/r*_binary64_704`
118×	`distribute-rgt-out--_binary64_714`
73×	`distribute-lft-neg-out_binary64_719`
70×	`distribute-rgt-neg-out_binary64_720`
60×	`swap-sqr_binary64_727`
53×	`*-commutative_binary64_691`
52×	`mul0-rgt_binary64_743`
51×	`mul0-lft_binary64_742` `associate-r_binary64_700`
45×	`associate--l-_binary64_698`
39×	`distribute-neg-in_binary64_721`
37×	`remove-double-neg_binary64_748`
34×	`associate-l_binary64_701`
25×	`--rgt-identity_binary64_746` `associate--r+_binary64_696`
24×	`div0_binary64_741`
22×	`/-rgt-identity_binary64_751` `*-lft-identity_binary64_749`
19×	`associate--r-_binary64_699`
18×	`distribute-rgt-out_binary64_713`
17×	`+-lft-identity_binary64_744`
16×	`associate--l+_binary64_697`
14×	`associate-/l/_binary64_707` `associate-+r-_binary64_694`
11×	`sub0-neg_binary64_747` `cancel-sign-sub_binary64_725`
9×	`*-rgt-identity_binary64_750`
7×	`mul-1-neg_binary64_752` `associate-+l+_binary64_693`
6×	`sqr-neg_binary64_774` `distribute-neg-out_binary64_722`
4×	`*-inverses_binary64_740`
3×	`+-rgt-identity_binary64_745` `associate-+r+_binary64_692`
2×	`remove-double-div_binary64_736` `associate-*l/_binary64_703`
1×	`1-exp_binary64_804` `associate-*r/_binary64_702`
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` `rem-sqrt-square_binary64_773` `rem-square-sqrt_binary64_772` `+-inverses_binary64_739` `lft-mult-inverse_binary64_738` `rgt-mult-inverse_binary64_737` `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` `distribute-rgt1-in_binary64_716` `distribute-lft1-in_binary64_715` `distribute-lft-out--_binary64_712` `distribute-lft-out_binary64_711` `count-2_binary64_708`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	30
1	25	30
2	45	30
3	71	30
4	134	30
5	188	30
6	248	30
7	387	30
8	535	30
9	652	30
10	699	30
11	2045	30
12	3600	30
13	3070	30
14	3259	30
15	3445	30
16	3850	30
17	5232	30

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

25.9b

Counts

1 → 1

Compiler

Compiled 15 to 11 computations (26.7% saved)

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 y.re y.re) (.f64 y.im y.im))
0.5b	(-.f64 (.f64 x.im y.re) (.f64 x.re y.im))
25.3b	(/.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))

rewrite93.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

25.7b

Rules

11×	`add-cube-cbrt_binary64_795` `add-sqr-sqrt_binary64_782` `*-un-lft-identity_binary64_760`
9×	`times-frac_binary64_766`
7×	`add-log-exp_binary64_799`
5×	`add-exp-log_binary64_798` `add-cbrt-cube_binary64_796`
3×	`pow1_binary64_821` `associate-/l_binary64_705` `associate-/r_binary64_704`
2×	`flip3--_binary64_764` `associate-/l/_binary64_707` `flip--_binary64_735` `flip3-+_binary64_763` `associate-/r/_binary64_706` `flip-+_binary64_734`
1×	`div-exp_binary64_811` `cbrt-undiv_binary64_794` `frac-2neg_binary64_771` `div-sub_binary64_765` `clear-num_binary64_759` `div-inv_binary64_757` `diff-log_binary64_852` `sub-neg_binary64_753` `cancel-sign-sub-inv_binary64_726` `sum-log_binary64_851` `+-commutative_binary64_690`

Counts

3 → 55

Calls

3 calls:

9.0ms	(/.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))
4.0ms	(+.f64 (.f64 y.re y.re) (.f64 y.im y.im))
4.0ms	(-.f64 (.f64 x.im y.re) (.f64 x.re y.im))

Compiler

Compiled 1509 to 201 computations (86.7% saved)

series835.0ms (6.1%)

Error

4.1b

Counts

3 → 60

Calls

3 calls:

443.0ms	(/.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))
225.0ms	(-.f64 (.f64 x.im y.re) (.f64 x.re y.im))
117.0ms	(+.f64 (.f64 y.re y.re) (.f64 y.im y.im))

Compiler

Compiled 2094 to 1337 computations (36.2% saved)

simplify195.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

443×	`associate-l_binary64_701`
371×	`associate-r_binary64_700`
312×	`unswap-sqr_binary64_728`
258×	`div-sub_binary64_765`
208×	`distribute-rgt-in_binary64_710`
195×	`distribute-lft-in_binary64_709` `associate-*l/_binary64_703`
157×	`associate-/l*_binary64_705`
141×	`*-commutative_binary64_691`
138×	`associate-*r/_binary64_702`
122×	`sub-neg_binary64_753`
109×	`exp-prod_binary64_812`
100×	`cancel-sign-sub-inv_binary64_726`
98×	`associate-/l/_binary64_707`
97×	`associate-/r*_binary64_704`
82×	`times-frac_binary64_766` `sqr-pow_binary64_732`
78×	`distribute-rgt-neg-in_binary64_718`
74×	`neg-sub0_binary64_755`
66×	`difference-of-squares_binary64_729`
64×	`distribute-lft-neg-in_binary64_717`
63×	`neg-mul-1_binary64_756`
62×	`associate-/r/_binary64_706`
54×	`unsub-neg_binary64_754`
41×	`unpow3_binary64_826`
37×	`+-commutative_binary64_690`
36×	`cube-prod_binary64_788`
32×	`exp-diff_binary64_808`
30×	`distribute-neg-frac_binary64_724` `associate-+l+_binary64_693`
28×	`exp-sum_binary64_806` `associate-+r+_binary64_692`
27×	`distribute-rgt-out_binary64_713`
26×	`pow-plus_binary64_823`
22×	`cube-mult_binary64_790` `distribute-lft-neg-out_binary64_719`
21×	`cube-unmult_binary64_797`
19×	`cube-div_binary64_789`
17×	`associate-+r-_binary64_694`
16×	`pow-sqr_binary64_733`
15×	`+-rgt-identity_binary64_745` `associate-+l-_binary64_695`
14×	`*-rgt-identity_binary64_750`
12×	`sub0-neg_binary64_747`
11×	`distribute-lft-out_binary64_711`
10×	`/-rgt-identity_binary64_751`
9×	`distribute-rgt-neg-out_binary64_720`
8×	`*-lft-identity_binary64_749` `mul0-rgt_binary64_743` `mul0-lft_binary64_742`
7×	`mul-1-neg_binary64_752` `div0_binary64_741` `distribute-rgt-out--_binary64_714`
6×	`distribute-neg-in_binary64_721`
4×	`swap-sqr_binary64_727` `associate--r+_binary64_696`
3×	`log-div_binary64_847` `remove-double-neg_binary64_748`
2×	`log-prod_binary64_846` `unpow2_binary64_825` `unpow1/2_binary64_824` `unpow1_binary64_818` `sqr-neg_binary64_774` `rem-sqrt-square_binary64_773` `associate--r-_binary64_699` `associate--l-_binary64_698`
1×	`div-exp_binary64_811` `prod-exp_binary64_809` `1-exp_binary64_804` `exp-1-e_binary64_803` `cube-neg_binary64_787` `--rgt-identity_binary64_746` `cancel-sign-sub_binary64_725` `distribute-lft-out--_binary64_712` `associate--l+_binary64_697`
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` `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` `exp-neg_binary64_807` `e-exp-1_binary64_805` `exp-0_binary64_802` `rem-log-exp_binary64_801` `rem-exp-log_binary64_800` `rem-3cbrt-rft_binary64_786` `rem-3cbrt-lft_binary64_785` `rem-cbrt-cube_binary64_784` `rem-cube-cbrt_binary64_783` `sqr-abs_binary64_775` `rem-square-sqrt_binary64_772` `+-lft-identity_binary64_744` `*-inverses_binary64_740` `+-inverses_binary64_739` `lft-mult-inverse_binary64_738` `rgt-mult-inverse_binary64_737` `remove-double-div_binary64_736` `difference-of-sqr--1_binary64_731` `difference-of-sqr-1_binary64_730` `distribute-frac-neg_binary64_723` `distribute-neg-out_binary64_722` `distribute-rgt1-in_binary64_716` `distribute-lft1-in_binary64_715` `count-2_binary64_708`

Counts

115 → 70

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	122	2787
1	342	2572
2	1030	2570
3	3659	2570
4	4859	2570
5	4995	2570
6	4999	2570
7	4927	2570

prune105.0ms (0.8%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	59	11	70
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	60	11	71

Error

13.6b

Counts

71 → 11

Compiler

Compiled 1771 to 777 computations (56.1% saved)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.5b	(-.f64 (.f64 y.re x.im) (.f64 y.im x.re))
15.9b	(/.f64 (-.f64 (.f64 y.re x.im) (.f64 y.im x.re)) (sqrt.f64 (+.f64 (pow.f64 y.re 2) (pow.f64 y.im 2))))
30.3b	(sqrt.f64 (+.f64 (pow.f64 y.re 2) (pow.f64 y.im 2)))
30.3b	(sqrt.f64 (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))

rewrite197.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

13.6b

Rules

43×	`*-un-lft-identity_binary64_760`
28×	`sqrt-prod_binary64_776`
25×	`add-sqr-sqrt_binary64_782`
24×	`times-frac_binary64_766`
23×	`add-cube-cbrt_binary64_795`
10×	`unpow-prod-down_binary64_839` `distribute-lft-out_binary64_711`
8×	`associate-/r*_binary64_704`
6×	`pow1_binary64_821` `add-log-exp_binary64_799` `add-exp-log_binary64_798` `add-cbrt-cube_binary64_796` `sqrt-div_binary64_777`
3×	`flip3-+_binary64_763` `flip-+_binary64_734` `associate-/l*_binary64_705`
2×	`pow1/2_binary64_840` `sqrt-pow1_binary64_778` `rem-sqrt-square_binary64_773` `flip3--_binary64_764` `associate-/l/_binary64_707` `flip--_binary64_735` `associate-/r/_binary64_706`
1×	`div-exp_binary64_811` `cbrt-undiv_binary64_794` `frac-2neg_binary64_771` `div-sub_binary64_765` `clear-num_binary64_759` `div-inv_binary64_757` `diff-log_binary64_852` `sub-neg_binary64_753` `cancel-sign-sub-inv_binary64_726`

Counts

4 → 96

Calls

4 calls:

14.0ms	(/.f64 (-.f64 (.f64 y.re x.im) (.f64 y.im x.re)) (sqrt.f64 (+.f64 (pow.f64 y.re 2) (pow.f64 y.im 2))))
8.0ms	(sqrt.f64 (+.f64 (pow.f64 y.re 2) (pow.f64 y.im 2)))
5.0ms	(sqrt.f64 (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))
4.0ms	(-.f64 (.f64 y.re x.im) (.f64 y.im x.re))

Compiler

Compiled 3624 to 1413 computations (61% saved)

series1.3s (9.8%)

Error

12.9b

Counts

4 → 95

Calls

4 calls:

616.0ms	(/.f64 (-.f64 (.f64 y.re x.im) (.f64 y.im x.re)) (sqrt.f64 (+.f64 (pow.f64 y.re 2) (pow.f64 y.im 2))))
233.0ms	(-.f64 (.f64 y.re x.im) (.f64 y.im x.re))
191.0ms	(sqrt.f64 (+.f64 (pow.f64 y.re 2) (pow.f64 y.im 2)))
185.0ms	(sqrt.f64 (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))

Compiler

Compiled 6008 to 3810 computations (36.6% saved)

simplify178.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

456×	`times-frac_binary64_766`
432×	`associate-/l*_binary64_705`
248×	`associate-*l/_binary64_703`
243×	`associate-/r*_binary64_704`
226×	`cancel-sign-sub-inv_binary64_726`
201×	`div-sub_binary64_765`
158×	`distribute-rgt-neg-in_binary64_718`
140×	`distribute-lft-neg-in_binary64_717`
120×	`sub-neg_binary64_753`
115×	`associate-/l/_binary64_707`
107×	`distribute-rgt-in_binary64_710`
106×	`associate-/r/_binary64_706`
104×	`distribute-neg-frac_binary64_724`
88×	`distribute-lft-in_binary64_709`
85×	`associate-r_binary64_700`
81×	`associate-l_binary64_701`
72×	`*-commutative_binary64_691`
64×	`neg-sub0_binary64_755`
60×	`neg-mul-1_binary64_756`
54×	`unswap-sqr_binary64_728`
51×	`+-commutative_binary64_690`
42×	`exp-prod_binary64_812`
41×	`sqr-pow_binary64_732`
26×	`distribute-lft-neg-out_binary64_719`
25×	`cube-prod_binary64_788`
24×	`associate--r+_binary64_696`
23×	`distribute-neg-in_binary64_721` `associate-*r/_binary64_702`
21×	`distribute-rgt-out_binary64_713`
19×	`cube-div_binary64_789` `unsub-neg_binary64_754`
18×	`unpow3_binary64_826`
16×	`associate--l+_binary64_697`
14×	`cube-mult_binary64_790`
11×	`cube-unmult_binary64_797` `difference-of-squares_binary64_729`
10×	`exp-sum_binary64_806` `associate-+l+_binary64_693`
9×	`distribute-lft-out_binary64_711`
8×	`exp-diff_binary64_808` `*-rgt-identity_binary64_750` `distribute-rgt-out--_binary64_714`
6×	`pow-plus_binary64_823` `/-rgt-identity_binary64_751` `distribute-rgt-neg-out_binary64_720`
5×	`rem-sqrt-square_binary64_773` `pow-sqr_binary64_733` `associate-+r-_binary64_694`
4×	`log-div_binary64_847` `mul-1-neg_binary64_752` `swap-sqr_binary64_727` `associate-+r+_binary64_692`
3×	`+-rgt-identity_binary64_745` `distribute-lft-out--_binary64_712`
2×	`unpow2_binary64_825` `unpow1/2_binary64_824` `unpow1_binary64_818` `rem-square-sqrt_binary64_772` `associate-+l-_binary64_695`
1×	`log-prod_binary64_846` `div-exp_binary64_811` `1-exp_binary64_804` `cube-neg_binary64_787` `sqr-neg_binary64_774` `*-lft-identity_binary64_749` `remove-double-neg_binary64_748` `sub0-neg_binary64_747` `cancel-sign-sub_binary64_725` `associate--r-_binary64_699`
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` `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` `exp-neg_binary64_807` `e-exp-1_binary64_805` `exp-1-e_binary64_803` `exp-0_binary64_802` `rem-log-exp_binary64_801` `rem-exp-log_binary64_800` `rem-3cbrt-rft_binary64_786` `rem-3cbrt-lft_binary64_785` `rem-cbrt-cube_binary64_784` `rem-cube-cbrt_binary64_783` `sqr-abs_binary64_775` `--rgt-identity_binary64_746` `+-lft-identity_binary64_744` `mul0-rgt_binary64_743` `mul0-lft_binary64_742` `div0_binary64_741` `*-inverses_binary64_740` `+-inverses_binary64_739` `lft-mult-inverse_binary64_738` `rgt-mult-inverse_binary64_737` `remove-double-div_binary64_736` `difference-of-sqr--1_binary64_731` `difference-of-sqr-1_binary64_730` `distribute-frac-neg_binary64_723` `distribute-neg-out_binary64_722` `distribute-rgt1-in_binary64_716` `distribute-lft1-in_binary64_715` `count-2_binary64_708` `associate--l-_binary64_698`

Counts

191 → 91

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	221	5190
1	525	5000
2	1596	4994
3	4694	4985
4	5046	4985

prune147.0ms (1.1%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	88	3	91
Fresh	5	5	10
Picked	0	1	1
Done	0	0	0
Total	93	9	102

Error

12.9b

Counts

102 → 9

Compiler

Compiled 2963 to 1290 computations (56.5% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (pow.f64 y.re 2) (pow.f64 y.im 2))
0.0b	(-.f64 (/.f64 (.f64 y.re x.im) (+.f64 (pow.f64 y.re 2) (pow.f64 y.im 2))) (/.f64 (.f64 y.im x.re) (+.f64 (pow.f64 y.re 2) (pow.f64 y.im 2))))
16.3b	(/.f64 (*.f64 y.re x.im) (+.f64 (pow.f64 y.re 2) (pow.f64 y.im 2)))
17.8b	(/.f64 (*.f64 y.im x.re) (+.f64 (pow.f64 y.re 2) (pow.f64 y.im 2)))

rewrite255.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

12.3b

Rules

36×	`*-un-lft-identity_binary64_760`
15×	`times-frac_binary64_766`
14×	`add-exp-log_binary64_798` `add-cbrt-cube_binary64_796`
12×	`add-sqr-sqrt_binary64_782` `unpow-prod-down_binary64_839` `distribute-lft-out_binary64_711`
11×	`cancel-sign-sub-inv_binary64_726`
10×	`add-cube-cbrt_binary64_795` `associate-/r/_binary64_706` `associate-/r*_binary64_704`
8×	`add-log-exp_binary64_799`
6×	`flip3-+_binary64_763` `flip-+_binary64_734`
5×	`div-inv_binary64_757`
4×	`pow1_binary64_821` `div-exp_binary64_811` `cbrt-undiv_binary64_794`
3×	`distribute-rgt-out--_binary64_714`
2×	`prod-exp_binary64_809` `cbrt-unprod_binary64_793` `frac-2neg_binary64_771` `clear-num_binary64_759` `associate-/l*_binary64_705`
1×	`diff-log_binary64_852` `frac-sub_binary64_769` `sub-div_binary64_767` `flip3--_binary64_764` `sub-neg_binary64_753` `flip--_binary64_735` `difference-of-squares_binary64_729` `distribute-lft-out--_binary64_712` `sum-log_binary64_851` `+-commutative_binary64_690`

Counts

4 → 96

Calls

4 calls:

27.0ms	(-.f64 (/.f64 (.f64 y.re x.im) (+.f64 (pow.f64 y.re 2) (pow.f64 y.im 2))) (/.f64 (.f64 y.im x.re) (+.f64 (pow.f64 y.re 2) (pow.f64 y.im 2))))
15.0ms	(/.f64 (*.f64 y.re x.im) (+.f64 (pow.f64 y.re 2) (pow.f64 y.im 2)))
11.0ms	(/.f64 (*.f64 y.im x.re) (+.f64 (pow.f64 y.re 2) (pow.f64 y.im 2)))
9.0ms	(+.f64 (pow.f64 y.re 2) (pow.f64 y.im 2))

Compiler

Compiled 3312 to 2074 computations (37.4% saved)

series1.4s (9.9%)

Error

4.1b

Counts

4 → 66

Calls

4 calls:

606.0ms	(-.f64 (/.f64 (.f64 y.re x.im) (+.f64 (pow.f64 y.re 2) (pow.f64 y.im 2))) (/.f64 (.f64 y.im x.re) (+.f64 (pow.f64 y.re 2) (pow.f64 y.im 2))))
311.0ms	(/.f64 (*.f64 y.im x.re) (+.f64 (pow.f64 y.re 2) (pow.f64 y.im 2)))
229.0ms	(/.f64 (*.f64 y.re x.im) (+.f64 (pow.f64 y.re 2) (pow.f64 y.im 2)))
139.0ms	(+.f64 (pow.f64 y.re 2) (pow.f64 y.im 2))

Compiler

Compiled 3480 to 2528 computations (27.4% saved)

simplify209.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

480×	`associate-/l/_binary64_707`
408×	`associate-/r*_binary64_704`
329×	`associate-/r/_binary64_706`
168×	`distribute-rgt-in_binary64_710`
156×	`distribute-lft-in_binary64_709`
151×	`cancel-sign-sub-inv_binary64_726` `associate-/l*_binary64_705`
144×	`distribute-rgt-neg-in_binary64_718`
130×	`distribute-lft-neg-in_binary64_717`
128×	`distribute-neg-frac_binary64_724`
108×	`associate-l_binary64_701`
104×	`times-frac_binary64_766`
89×	`associate-r_binary64_700`
88×	`associate-*l/_binary64_703`
84×	`sub-neg_binary64_753`
82×	`exp-prod_binary64_812`
79×	`*-commutative_binary64_691`
71×	`associate-*r/_binary64_702`
64×	`log-div_binary64_847`
58×	`cube-div_binary64_789`
57×	`neg-sub0_binary64_755` `unswap-sqr_binary64_728`
54×	`distribute-lft-neg-out_binary64_719`
53×	`neg-mul-1_binary64_756`
51×	`log-prod_binary64_846`
43×	`sqr-pow_binary64_732`
38×	`cube-prod_binary64_788` `distribute-rgt-neg-out_binary64_720`
37×	`div-sub_binary64_765` `+-commutative_binary64_690`
27×	`unpow3_binary64_826`
26×	`*-rgt-identity_binary64_750`
21×	`exp-sum_binary64_806`
19×	`cube-mult_binary64_790`
18×	`distribute-rgt-out_binary64_713`
14×	`distribute-neg-in_binary64_721`
12×	`unsub-neg_binary64_754` `difference-of-squares_binary64_729`
11×	`exp-diff_binary64_808`
10×	`cube-unmult_binary64_797` `swap-sqr_binary64_727`
8×	`distribute-rgt-out--_binary64_714` `associate--l+_binary64_697` `associate-+l+_binary64_693`
7×	`log-pow_binary64_849` `log-rec_binary64_848`
6×	`distribute-lft-out_binary64_711` `associate-+r-_binary64_694`
5×	`pow-plus_binary64_823` `/-rgt-identity_binary64_751` `+-rgt-identity_binary64_745` `div0_binary64_741` `distribute-frac-neg_binary64_723` `distribute-lft-out--_binary64_712`
4×	`distribute-neg-out_binary64_722`
3×	`exp-neg_binary64_807` `pow-sqr_binary64_733`
2×	`unpow2_binary64_825` `unpow1/2_binary64_824` `unpow1_binary64_818` `mul-1-neg_binary64_752` `*-lft-identity_binary64_749` `associate-+r+_binary64_692`
1×	`div-exp_binary64_811` `prod-exp_binary64_809` `1-exp_binary64_804` `rem-3cbrt-lft_binary64_785` `rem-sqrt-square_binary64_773` `rem-square-sqrt_binary64_772` `associate--r+_binary64_696` `associate-+l-_binary64_695`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_1023` `erf-erfc_binary64_1022` `erf-odd_binary64_1021` `if-if-and-not_binary64_1020` `if-if-and_binary64_1019` `if-if-or-not_binary64_1018` `if-if-or_binary64_1017` `if-not_binary64_1016` `if-same_binary64_1015` `if-false_binary64_1014` `if-true_binary64_1013` `not-gte_binary64_1012` `not-lte_binary64_1011` `not-gt_binary64_1010` `not-lt_binary64_1009` `gte-same_binary64_1008` `lte-same_binary64_1007` `gt-same_binary64_1006` `lt-same_binary64_1005` `sinh---cosh_binary64_952` `sinh-+-cosh_binary64_951` `sinh-cosh_binary64_950` `tanh-def-c_binary64_949` `tanh-def-b_binary64_948` `tanh-def-a_binary64_947` `cosh-def_binary64_946` `sinh-def_binary64_945` `tan-neg_binary64_892` `cos-neg_binary64_891` `sin-neg_binary64_890` `tan-0_binary64_889` `cos-0_binary64_888` `sin-0_binary64_887` `hang-m-tan_binary64_886` `hang-p-tan_binary64_885` `hang-m0-tan_binary64_884` `hang-p0-tan_binary64_883` `hang-0m-tan_binary64_882` `hang-0p-tan_binary64_881` `tan-+PI/2_binary64_880` `tan-+PI_binary64_879` `tan-PI_binary64_878` `tan-PI/3_binary64_877` `tan-PI/4_binary64_876` `tan-PI/6_binary64_875` `cos-+PI/2_binary64_874` `cos-+PI_binary64_873` `cos-PI_binary64_872` `cos-PI/2_binary64_871` `cos-PI/3_binary64_870` `cos-PI/4_binary64_869` `cos-PI/6_binary64_868` `sin-+PI/2_binary64_867` `sin-+PI_binary64_866` `sin-PI_binary64_865` `sin-PI/2_binary64_864` `sin-PI/3_binary64_863` `sin-PI/4_binary64_862` `sin-PI/6_binary64_861` `sub-1-sin_binary64_860` `sub-1-cos_binary64_859` `-1-add-sin_binary64_858` `-1-add-cos_binary64_857` `1-sub-sin_binary64_856` `1-sub-cos_binary64_855` `cos-sin-sum_binary64_854` `log-E_binary64_850` `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` `e-exp-1_binary64_805` `exp-1-e_binary64_803` `exp-0_binary64_802` `rem-log-exp_binary64_801` `rem-exp-log_binary64_800` `cube-neg_binary64_787` `rem-3cbrt-rft_binary64_786` `rem-cbrt-cube_binary64_784` `rem-cube-cbrt_binary64_783` `sqr-abs_binary64_775` `sqr-neg_binary64_774` `remove-double-neg_binary64_748` `sub0-neg_binary64_747` `--rgt-identity_binary64_746` `+-lft-identity_binary64_744` `mul0-rgt_binary64_743` `mul0-lft_binary64_742` `*-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-rgt1-in_binary64_716` `distribute-lft1-in_binary64_715` `count-2_binary64_708` `associate--r-_binary64_699` `associate--l-_binary64_698`

Counts

162 → 83

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	190	4186
1	520	4041
2	1857	3993
3	4748	3964
4	4989	3964
5	4998	3964
6	4963	3964

prune139.0ms (1%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	79	4	83
Fresh	2	5	7
Picked	1	0	1
Done	1	0	1
Total	83	9	92

Error

5.9b

Counts

92 → 9

Compiler

Compiled 2504 to 1567 computations (37.4% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (pow.f64 y.re 2) (pow.f64 y.im 2))
0.5b	(-.f64 (.f64 y.re x.im) (.f64 y.im x.re))
0.8b	(/.f64 1 (/.f64 (+.f64 (pow.f64 y.re 2) (pow.f64 y.im 2)) (-.f64 (.f64 y.re x.im) (.f64 y.im x.re))))
24.9b	(/.f64 (+.f64 (pow.f64 y.re 2) (pow.f64 y.im 2)) (-.f64 (.f64 y.re x.im) (.f64 y.im x.re)))

rewrite348.0ms (2.5%)

Algorithm

1×	rewrite-expression-head

Error

5.9b

Rules

140×	`*-un-lft-identity_binary64_760`
138×	`times-frac_binary64_766`
72×	`add-cube-cbrt_binary64_795` `add-sqr-sqrt_binary64_782`
34×	`unpow-prod-down_binary64_839` `distribute-lft-out_binary64_711`
24×	`associate-/r*_binary64_704`
17×	`add-exp-log_binary64_798`
11×	`add-cbrt-cube_binary64_796` `associate-/r/_binary64_706`
8×	`div-exp_binary64_811` `add-log-exp_binary64_799` `associate-/l*_binary64_705`
6×	`div-inv_binary64_757` `flip3--_binary64_764` `flip--_binary64_735`
5×	`pow1_binary64_821`
4×	`cbrt-undiv_binary64_794`
2×	`frac-2neg_binary64_771` `clear-num_binary64_759` `flip3-+_binary64_763` `associate-/l/_binary64_707` `flip-+_binary64_734` `1-exp_binary64_804` `rec-exp_binary64_810`
1×	`inv-pow_binary64_845` `pow-flip_binary64_834` `diff-log_binary64_852` `sub-neg_binary64_753` `cancel-sign-sub-inv_binary64_726` `sum-log_binary64_851` `+-commutative_binary64_690`

Counts

4 → 172

Calls

4 calls:

16.0ms	(/.f64 1 (/.f64 (+.f64 (pow.f64 y.re 2) (pow.f64 y.im 2)) (-.f64 (.f64 y.re x.im) (.f64 y.im x.re))))
14.0ms	(/.f64 (+.f64 (pow.f64 y.re 2) (pow.f64 y.im 2)) (-.f64 (.f64 y.re x.im) (.f64 y.im x.re)))
8.0ms	(+.f64 (pow.f64 y.re 2) (pow.f64 y.im 2))
4.0ms	(-.f64 (.f64 y.re x.im) (.f64 y.im x.re))

Compiler

Compiled 5646 to 2768 computations (51% saved)

series1.4s (9.8%)

Error

3.5b

Counts

4 → 90

Calls

4 calls:

455.0ms	(/.f64 1 (/.f64 (+.f64 (pow.f64 y.re 2) (pow.f64 y.im 2)) (-.f64 (.f64 y.re x.im) (.f64 y.im x.re))))
435.0ms	(/.f64 (+.f64 (pow.f64 y.re 2) (pow.f64 y.im 2)) (-.f64 (.f64 y.re x.im) (.f64 y.im x.re)))
237.0ms	(-.f64 (.f64 y.re x.im) (.f64 y.im x.re))
139.0ms	(+.f64 (pow.f64 y.re 2) (pow.f64 y.im 2))

Compiler

Compiled 4314 to 3210 computations (25.6% saved)

simplify287.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

411×	`associate-/r/_binary64_706`
351×	`associate-/l/_binary64_707`
312×	`distribute-rgt-in_binary64_710`
277×	`distribute-lft-in_binary64_709`
139×	`div-sub_binary64_765`
138×	`associate-/l*_binary64_705`
116×	`cancel-sign-sub-inv_binary64_726`
101×	`distribute-rgt-neg-in_binary64_718`
95×	`unswap-sqr_binary64_728`
91×	`distribute-lft-neg-in_binary64_717`
90×	`associate-r_binary64_700` `*-commutative_binary64_691`
89×	`times-frac_binary64_766`
85×	`associate-l_binary64_701`
82×	`exp-prod_binary64_812`
79×	`associate-*l/_binary64_703`
78×	`associate-/r*_binary64_704`
60×	`sub-neg_binary64_753`
56×	`distribute-neg-frac_binary64_724`
52×	`+-commutative_binary64_690`
51×	`distribute-neg-in_binary64_721` `associate-*r/_binary64_702`
50×	`sqr-pow_binary64_732`
46×	`neg-sub0_binary64_755`
45×	`neg-mul-1_binary64_756`
44×	`cube-prod_binary64_788`
37×	`*-rgt-identity_binary64_750` `distribute-rgt-out_binary64_713` `associate-+r+_binary64_692`
33×	`distribute-lft-neg-out_binary64_719`
26×	`exp-sum_binary64_806`
23×	`associate-+l+_binary64_693`
22×	`distribute-rgt-neg-out_binary64_720`
18×	`unsub-neg_binary64_754`
16×	`distribute-lft-out_binary64_711`
15×	`difference-of-squares_binary64_729`
14×	`unpow3_binary64_826`
13×	`*-lft-identity_binary64_749`
10×	`log-div_binary64_847` `cube-mult_binary64_790`
9×	`associate--r+_binary64_696`
8×	`log-prod_binary64_846` `exp-diff_binary64_808` `cube-unmult_binary64_797`
7×	`/-rgt-identity_binary64_751` `swap-sqr_binary64_727`
6×	`pow-plus_binary64_823` `pow-sqr_binary64_733`
5×	`log-rec_binary64_848` `cube-div_binary64_789` `distribute-rgt-out--_binary64_714` `associate-+r-_binary64_694`
4×	`unpow2_binary64_825` `unpow1/2_binary64_824` `unpow1_binary64_818` `rem-sqrt-square_binary64_773` `mul-1-neg_binary64_752` `div0_binary64_741` `remove-double-div_binary64_736`
3×	`associate--r-_binary64_699`
2×	`exp-neg_binary64_807` `+-rgt-identity_binary64_745` `+-lft-identity_binary64_744` `distribute-lft-out--_binary64_712`
1×	`div-exp_binary64_811` `prod-exp_binary64_809` `1-exp_binary64_804` `exp-1-e_binary64_803` `cube-neg_binary64_787` `sqr-neg_binary64_774` `remove-double-neg_binary64_748` `sub0-neg_binary64_747` `cancel-sign-sub_binary64_725` `distribute-frac-neg_binary64_723` `count-2_binary64_708` `associate-+l-_binary64_695`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_1023` `erf-erfc_binary64_1022` `erf-odd_binary64_1021` `if-if-and-not_binary64_1020` `if-if-and_binary64_1019` `if-if-or-not_binary64_1018` `if-if-or_binary64_1017` `if-not_binary64_1016` `if-same_binary64_1015` `if-false_binary64_1014` `if-true_binary64_1013` `not-gte_binary64_1012` `not-lte_binary64_1011` `not-gt_binary64_1010` `not-lt_binary64_1009` `gte-same_binary64_1008` `lte-same_binary64_1007` `gt-same_binary64_1006` `lt-same_binary64_1005` `sinh---cosh_binary64_952` `sinh-+-cosh_binary64_951` `sinh-cosh_binary64_950` `tanh-def-c_binary64_949` `tanh-def-b_binary64_948` `tanh-def-a_binary64_947` `cosh-def_binary64_946` `sinh-def_binary64_945` `tan-neg_binary64_892` `cos-neg_binary64_891` `sin-neg_binary64_890` `tan-0_binary64_889` `cos-0_binary64_888` `sin-0_binary64_887` `hang-m-tan_binary64_886` `hang-p-tan_binary64_885` `hang-m0-tan_binary64_884` `hang-p0-tan_binary64_883` `hang-0m-tan_binary64_882` `hang-0p-tan_binary64_881` `tan-+PI/2_binary64_880` `tan-+PI_binary64_879` `tan-PI_binary64_878` `tan-PI/3_binary64_877` `tan-PI/4_binary64_876` `tan-PI/6_binary64_875` `cos-+PI/2_binary64_874` `cos-+PI_binary64_873` `cos-PI_binary64_872` `cos-PI/2_binary64_871` `cos-PI/3_binary64_870` `cos-PI/4_binary64_869` `cos-PI/6_binary64_868` `sin-+PI/2_binary64_867` `sin-+PI_binary64_866` `sin-PI_binary64_865` `sin-PI/2_binary64_864` `sin-PI/3_binary64_863` `sin-PI/4_binary64_862` `sin-PI/6_binary64_861` `sub-1-sin_binary64_860` `sub-1-cos_binary64_859` `-1-add-sin_binary64_858` `-1-add-cos_binary64_857` `1-sub-sin_binary64_856` `1-sub-cos_binary64_855` `cos-sin-sum_binary64_854` `log-E_binary64_850` `log-pow_binary64_849` `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` `e-exp-1_binary64_805` `exp-0_binary64_802` `rem-log-exp_binary64_801` `rem-exp-log_binary64_800` `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_746` `mul0-rgt_binary64_743` `mul0-lft_binary64_742` `*-inverses_binary64_740` `+-inverses_binary64_739` `lft-mult-inverse_binary64_738` `rgt-mult-inverse_binary64_737` `difference-of-sqr--1_binary64_731` `difference-of-sqr-1_binary64_730` `distribute-neg-out_binary64_722` `distribute-rgt1-in_binary64_716` `distribute-lft1-in_binary64_715` `associate--l-_binary64_698` `associate--l+_binary64_697`

Counts

262 → 161

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	238	9624
1	614	9157
2	2157	9031
3	4674	9031
4	5040	9031

prune209.0ms (1.5%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	158	3	161
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	158	12	170

Error

3.0b

Counts

170 → 12

Compiler

Compiled 4080 to 1911 computations (53.2% saved)

regimes2.3s (16.6%)

Accuracy

Total 10.0b remaining (77.4%)

Threshold costs 0b (0%)

Compiler

Compiled 13066 to 8971 computations (31.3% saved)

bsearch160.0ms (1.2%)

Steps

Iters	Range		Point
9	5.399319787449882e+152	2.909678686760974e+160	1.3342986936759808e+154
6	5.565262533853626e-49	3.8797981810535535e-48	1.01064999956443e-48
7	1.0709267926812798e-253	1.164308140435795e-251	1.3051589145264675e-253
8	-8.84248040129821e-266	-1.3410257573391773e-268	-4.0074714273265813e-268
8	-2.761833084130012e-107	-1.477144745749174e-110	-1.901991367004041e-107
9	-2.4110513224217722e+157	-7.17408523574001e+148	-1.2565488565153856e+154

Compiler

Compiled 1 to 4 computations (-300% saved)

simplify14.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

15×	`*-commutative_binary64_691` `+-commutative_binary64_690`
14×	`sub-neg_binary64_753`
11×	`neg-sub0_binary64_755`
10×	`neg-mul-1_binary64_756`
6×	`distribute-neg-frac_binary64_724` `distribute-rgt-neg-in_binary64_718`
4×	`cancel-sign-sub-inv_binary64_726` `distribute-lft-neg-in_binary64_717`
2×	`distribute-lft-neg-out_binary64_719`
1×	`mul-1-neg_binary64_752`
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` `/-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-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	50	256
1	69	256
2	97	256
3	124	256
4	140	256
5	145	256
6	145	256

end0.0ms (0%)

sample3.1s (22.2%)

Algorithm

1×

intervals

Results

335.0ms	8000×	body	128	valid
24.0ms	514×	body	128	invalid

Compiler

Compiled 2723 to 1874 computations (31.2% saved)

Details

analyze781.0ms (5.7%)

sample23.0ms (0.2%)

simplify129.0ms (0.9%)

prune2.0ms (0%)

localize10.0ms (0.1%)

rewrite93.0ms (0.7%)

series835.0ms (6.1%)

simplify195.0ms (1.4%)

prune105.0ms (0.8%)

localize18.0ms (0.1%)

rewrite197.0ms (1.4%)

series1.3s (9.8%)

simplify178.0ms (1.3%)

prune147.0ms (1.1%)

localize12.0ms (0.1%)

rewrite255.0ms (1.9%)

series1.4s (9.9%)

simplify209.0ms (1.5%)

prune139.0ms (1%)

localize14.0ms (0.1%)

rewrite348.0ms (2.5%)

series1.4s (9.8%)

simplify287.0ms (2.1%)

prune209.0ms (1.5%)

regimes2.3s (16.6%)

bsearch160.0ms (1.2%)

simplify14.0ms (0.1%)

end0.0ms (0%)

sample3.1s (22.2%)

Profiling