Details

analyze958.0ms (4.8%)

Algorithm

1×

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
12.5%	87.4%	0.1%	7
18.7%	81.1%	0.1%	8
26.5%	72.9%	0.5%	9
38.2%	60.7%	1.1%	10
41.7%	54.9%	3.4%	11
47.6%	47.4%	5%	12
53.4%	39.4%	7.2%	13
54.9%	34.5%	10.6%	14

Compiler

Compiled 17 to 15 computations (11.8% saved)

sample56.0ms (0.3%)

Algorithm

1×

intervals

Results

15.0ms	203×	body	128	valid
8.0ms	23×	body	1024	valid
5.0ms	67×	body	128	invalid
4.0ms	18×	body	512	valid
4.0ms	5×	body	512	invalid
2.0ms	7×	body	1024	invalid
2.0ms	12×	body	256	valid
0.0ms	2×	body	256	invalid

Compiler

Compiled 33 to 32 computations (3% saved)

simplify254.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

750×	`unswap-sqr_binary64_728`
386×	`associate-/l/_binary64_707`
294×	`distribute-rgt-in_binary64_710`
291×	`*-commutative_binary64_691`
262×	`distribute-rgt-out_binary64_713`
248×	`swap-sqr_binary64_727`
244×	`associate-*l/_binary64_703`
224×	`cube-prod_binary64_788`
216×	`associate-l_binary64_701`
194×	`associate-r_binary64_700`
183×	`distribute-lft-in_binary64_709`
172×	`associate-/r/_binary64_706`
170×	`associate-/r*_binary64_704`
140×	`sqr-pow_binary64_732`
139×	`cube-div_binary64_789`
120×	`associate-*r/_binary64_702`
96×	`pow-sqr_binary64_733`
92×	`associate-/l*_binary64_705`
58×	`times-frac_binary64_766`
52×	`distribute-lft-out_binary64_711`
46×	`*-lft-identity_binary64_749`
45×	`pow-plus_binary64_823` `*-rgt-identity_binary64_750`
25×	`exp-prod_binary64_812`
20×	`distribute-rgt1-in_binary64_716`
19×	`associate-+r+_binary64_692`
18×	`unpow3_binary64_826` `associate-+l+_binary64_693`
16×	`div-exp_binary64_811` `prod-exp_binary64_809`
15×	`cube-mult_binary64_790`
12×	`cube-unmult_binary64_797`
10×	`distribute-lft1-in_binary64_715`
7×	`+-commutative_binary64_690`
5×	`sub-neg_binary64_753`
4×	`pow-base-1_binary64_820` `rec-exp_binary64_810` `exp-sum_binary64_806` `remove-double-div_binary64_736` `distribute-rgt-out--_binary64_714`
3×	`neg-mul-1_binary64_756` `neg-sub0_binary64_755`
2×	`unpow2_binary64_825` `unpow1_binary64_818` `/-rgt-identity_binary64_751` `mul0-lft_binary64_742` `+-inverses_binary64_739` `cancel-sign-sub-inv_binary64_726` `distribute-lft-neg-in_binary64_717` `count-2_binary64_708`
1×	`exp-lft-sqr_binary64_815` `exp-sqrt_binary64_813` `1-exp_binary64_804` `--rgt-identity_binary64_746` `*-inverses_binary64_740` `rgt-mult-inverse_binary64_737`
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` `unpow1/2_binary64_824` `exp-to-pow_binary64_822` `unpow0_binary64_819` `unpow-1_binary64_817` `exp-lft-cube_binary64_816` `exp-cbrt_binary64_814` `exp-diff_binary64_808` `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` `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` `div-sub_binary64_765` `unsub-neg_binary64_754` `mul-1-neg_binary64_752` `remove-double-neg_binary64_748` `sub0-neg_binary64_747` `+-rgt-identity_binary64_745` `+-lft-identity_binary64_744` `mul0-rgt_binary64_743` `div0_binary64_741` `lft-mult-inverse_binary64_738` `difference-of-sqr--1_binary64_731` `difference-of-sqr-1_binary64_730` `difference-of-squares_binary64_729` `cancel-sign-sub_binary64_725` `distribute-neg-frac_binary64_724` `distribute-frac-neg_binary64_723` `distribute-neg-out_binary64_722` `distribute-neg-in_binary64_721` `distribute-rgt-neg-out_binary64_720` `distribute-lft-neg-out_binary64_719` `distribute-rgt-neg-in_binary64_718` `distribute-lft-out--_binary64_712` `associate--r-_binary64_699` `associate--l-_binary64_698` `associate--l+_binary64_697` `associate--r+_binary64_696` `associate-+l-_binary64_695` `associate-+r-_binary64_694`

Counts

1 → 6

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	24
1	28	24
2	81	24
3	216	24
4	874	24
5	1492	24
6	2943	24
7	4276	24

prune16.0ms (0.1%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	1	5	6
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	2	5	7

Error

5.9b

Counts

7 → 5

Compiler

Compiled 176 to 102 computations (42% saved)

localize14.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.6b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 c s) (.f64 (.f64 x x) (.f64 c s))))
4.4b	(.f64 (.f64 c s) (.f64 (.f64 x x) (*.f64 c s)))
12.0b	(.f64 (.f64 x x) (*.f64 c s))

rewrite187.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

2.3b

Rules

109×	`add-exp-log_binary64_798` `add-cbrt-cube_binary64_796`
70×	`prod-exp_binary64_809` `cbrt-unprod_binary64_793`
56×	`pow1_binary64_821`
39×	`pow-prod-down_binary64_831`
11×	`div-exp_binary64_811` `cbrt-undiv_binary64_794`
5×	`add-cube-cbrt_binary64_795` `add-sqr-sqrt_binary64_782` `*-un-lft-identity_binary64_760`
3×	`add-log-exp_binary64_799` `times-frac_binary64_766` `associate-/l*_binary64_705`
2×	`associate-l_binary64_701` `associate-r_binary64_700` `*-commutative_binary64_691`
1×	`frac-2neg_binary64_771` `cos-2_binary64_902` `div-sub_binary64_765` `clear-num_binary64_759` `div-inv_binary64_757` `associate-/r*_binary64_704`

Counts

3 → 102

Calls

3 calls:

13.0ms	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 c s) (.f64 (.f64 x x) (.f64 c s))))
11.0ms	(.f64 (.f64 c s) (.f64 (.f64 x x) (*.f64 c s)))
7.0ms	(.f64 (.f64 x x) (*.f64 c s))

Compiler

Compiled 2790 to 791 computations (71.6% saved)

series1.0s (5.2%)

Error

5.9b

Counts

3 → 30

Calls

3 calls:

525.0ms	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 c s) (.f64 (.f64 x x) (.f64 c s))))
268.0ms	(.f64 (.f64 c s) (.f64 (.f64 x x) (*.f64 c s)))
201.0ms	(.f64 (.f64 x x) (*.f64 c s))

Compiler

Compiled 1508 to 1251 computations (17% saved)

simplify974.0ms (4.9%)

Algorithm

1×	egg-herbie

Rules

486×	`associate-/l/_binary64_707`
427×	`*-commutative_binary64_691`
321×	`associate-*r/_binary64_702`
309×	`associate-*l/_binary64_703`
268×	`associate-l_binary64_701`
260×	`associate-/r*_binary64_704`
211×	`associate-r_binary64_700`
158×	`associate-/r/_binary64_706`
140×	`times-frac_binary64_766`
129×	`exp-prod_binary64_812`
123×	`log-prod_binary64_846`
104×	`cube-prod_binary64_788`
101×	`cancel-sign-sub-inv_binary64_726`
92×	`associate-/l*_binary64_705`
84×	`distribute-rgt-neg-in_binary64_718`
83×	`cube-div_binary64_789`
82×	`log-div_binary64_847` `swap-sqr_binary64_727`
73×	`distribute-lft-neg-in_binary64_717`
65×	`unswap-sqr_binary64_728`
50×	`associate--r+_binary64_696` `associate-+l+_binary64_693`
49×	`associate-+r+_binary64_692`
42×	`sqr-pow_binary64_732`
37×	`sub-neg_binary64_753`
32×	`distribute-neg-frac_binary64_724`
29×	`unpow3_binary64_826` `distribute-neg-in_binary64_721`
28×	`cube-mult_binary64_790`
25×	`+-commutative_binary64_690`
24×	`neg-mul-1_binary64_756` `neg-sub0_binary64_755`
20×	`pow-plus_binary64_823`
15×	`associate--l+_binary64_697`
14×	`distribute-rgt-in_binary64_710`
13×	`associate--l-_binary64_698` `associate-+l-_binary64_695`
12×	`log-pow_binary64_849`
11×	`cube-unmult_binary64_797` `pow-sqr_binary64_733` `distribute-lft-neg-out_binary64_719`
10×	`associate-+r-_binary64_694`
8×	`distribute-lft-in_binary64_709`
6×	`unsub-neg_binary64_754`
3×	`unpow2_binary64_825` `unpow1_binary64_818` `count-2_binary64_708`
2×	`*-rgt-identity_binary64_750` `distribute-rgt-neg-out_binary64_720`
1×	`exp-lft-sqr_binary64_815` `prod-exp_binary64_809` `1-exp_binary64_804` `rem-sqrt-square_binary64_773` `div-sub_binary64_765` `/-rgt-identity_binary64_751` `*-inverses_binary64_740` `distribute-lft1-in_binary64_715`
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` `pow-base-0_binary64_844` `unpow1/3_binary64_827` `unpow1/2_binary64_824` `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` `div-exp_binary64_811` `rec-exp_binary64_810` `exp-diff_binary64_808` `exp-neg_binary64_807` `exp-sum_binary64_806` `e-exp-1_binary64_805` `exp-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-3cbrt-lft_binary64_785` `rem-cbrt-cube_binary64_784` `rem-cube-cbrt_binary64_783` `sqr-abs_binary64_775` `sqr-neg_binary64_774` `rem-square-sqrt_binary64_772` `mul-1-neg_binary64_752` `*-lft-identity_binary64_749` `remove-double-neg_binary64_748` `sub0-neg_binary64_747` `--rgt-identity_binary64_746` `+-rgt-identity_binary64_745` `+-lft-identity_binary64_744` `mul0-rgt_binary64_743` `mul0-lft_binary64_742` `div0_binary64_741` `+-inverses_binary64_739` `lft-mult-inverse_binary64_738` `rgt-mult-inverse_binary64_737` `remove-double-div_binary64_736` `difference-of-sqr--1_binary64_731` `difference-of-sqr-1_binary64_730` `difference-of-squares_binary64_729` `cancel-sign-sub_binary64_725` `distribute-frac-neg_binary64_723` `distribute-neg-out_binary64_722` `distribute-rgt1-in_binary64_716` `distribute-rgt-out--_binary64_714` `distribute-rgt-out_binary64_713` `distribute-lft-out--_binary64_712` `distribute-lft-out_binary64_711` `associate--r-_binary64_699`

Counts

132 → 563

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	156	3734
1	371	2669
2	1797	2537
3	4693	2537

prune684.0ms (3.4%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	551	12	563
Fresh	4	0	4
Picked	1	0	1
Done	0	0	0
Total	556	12	568

Error

0.0b

Counts

568 → 12

Compiler

Compiled 13908 to 4273 computations (69.3% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.3b	(.f64 (fabs.f64 (.f64 s (.f64 x c))) (fabs.f64 (.f64 s (*.f64 x c))))
0.6b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (fabs.f64 (.f64 s (.f64 x c))) (fabs.f64 (.f64 s (.f64 x c)))))
4.4b	(.f64 s (.f64 x c))
4.4b	(.f64 s (.f64 x c))

rewrite130.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

21×	`pow1_binary64_821` `add-exp-log_binary64_798` `add-cbrt-cube_binary64_796`
14×	`add-sqr-sqrt_binary64_782`
12×	`add-cube-cbrt_binary64_795` `*-un-lft-identity_binary64_760`
9×	`associate-l_binary64_701`
8×	`prod-exp_binary64_809` `cbrt-unprod_binary64_793`
7×	`pow-prod-down_binary64_831`
5×	`associate-r_binary64_700`
4×	`add-log-exp_binary64_799`
3×	`-commutative_binary64_691` `times-frac_binary64_766` `associate-/l_binary64_705` `swap-sqr_binary64_727`
2×	`div-exp_binary64_811` `cbrt-undiv_binary64_794`
1×	`frac-2neg_binary64_771` `cos-2_binary64_902` `div-sub_binary64_765` `clear-num_binary64_759` `div-inv_binary64_757` `associate-/r*_binary64_704` `pow2_binary64_841` `pow-prod-up_binary64_830` `pow-plus_binary64_823` `sqr-abs_binary64_775` `pow-sqr_binary64_733` `unswap-sqr_binary64_728`

Counts

4 → 84

Calls

4 calls:

5.0ms	(.f64 s (.f64 x c))
5.0ms	(.f64 s (.f64 x c))
5.0ms	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (fabs.f64 (.f64 s (.f64 x c))) (fabs.f64 (.f64 s (.f64 x c)))))
3.0ms	(.f64 (fabs.f64 (.f64 s (.f64 x c))) (fabs.f64 (.f64 s (*.f64 x c))))

Compiler

Compiled 2197 to 640 computations (70.9% saved)

series1.0s (5.1%)

Error

0.0b

Counts

4 → 39

Calls

4 calls:

559.0ms	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (fabs.f64 (.f64 s (.f64 x c))) (fabs.f64 (.f64 s (.f64 x c)))))
141.0ms	(.f64 s (.f64 x c))
140.0ms	(.f64 s (.f64 x c))
138.0ms	(.f64 (fabs.f64 (.f64 s (.f64 x c))) (fabs.f64 (.f64 s (*.f64 x c))))

Compiler

Compiled 1895 to 1137 computations (40% saved)

simplify434.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

384×	`cancel-sign-sub-inv_binary64_726`
293×	`swap-sqr_binary64_727`
276×	`associate-/l/_binary64_707`
262×	`associate-*l/_binary64_703`
256×	`*-commutative_binary64_691`
199×	`associate-*r/_binary64_702`
152×	`log-prod_binary64_846`
145×	`sqr-pow_binary64_732`
144×	`associate-/r/_binary64_706` `associate-/r*_binary64_704`
132×	`exp-prod_binary64_812`
128×	`associate-r_binary64_700`
127×	`associate-l_binary64_701`
119×	`times-frac_binary64_766`
114×	`cube-prod_binary64_788`
109×	`neg-mul-1_binary64_756`
108×	`neg-sub0_binary64_755`
107×	`unswap-sqr_binary64_728`
93×	`distribute-rgt-neg-in_binary64_718`
90×	`sub-neg_binary64_753`
89×	`distribute-lft-neg-in_binary64_717`
75×	`associate-/l*_binary64_705`
58×	`log-div_binary64_847`
54×	`pow-sqr_binary64_733`
50×	`*-rgt-identity_binary64_750`
45×	`cube-div_binary64_789` `*-lft-identity_binary64_749`
30×	`distribute-neg-frac_binary64_724` `distribute-rgt-in_binary64_710`
25×	`unpow3_binary64_826`
24×	`cube-mult_binary64_790` `associate--r+_binary64_696`
23×	`distribute-lft-in_binary64_709`
22×	`pow-plus_binary64_823` `+-commutative_binary64_690`
19×	`unsub-neg_binary64_754`
18×	`associate-+r+_binary64_692`
17×	`exp-sqrt_binary64_813` `associate-+l+_binary64_693`
15×	`cube-unmult_binary64_797`
13×	`/-rgt-identity_binary64_751`
12×	`rem-sqrt-square_binary64_773` `distribute-neg-in_binary64_721`
11×	`log-pow_binary64_849` `associate-+l-_binary64_695`
10×	`div-sub_binary64_765` `associate--l+_binary64_697`
9×	`associate-+r-_binary64_694`
5×	`sub0-neg_binary64_747` `+-rgt-identity_binary64_745` `distribute-lft-neg-out_binary64_719` `count-2_binary64_708`
4×	`exp-lft-sqr_binary64_815` `div-exp_binary64_811` `prod-exp_binary64_809` `difference-of-squares_binary64_729`
3×	`unpow2_binary64_825` `distribute-rgt-out_binary64_713`
2×	`log-rec_binary64_848` `unpow1_binary64_818` `rec-exp_binary64_810` `exp-sum_binary64_806` `mul0-lft_binary64_742`
1×	`pow-base-1_binary64_820` `exp-diff_binary64_808` `1-exp_binary64_804` `exp-1-e_binary64_803` `rem-log-exp_binary64_801` `rem-3cbrt-rft_binary64_786` `rem-3cbrt-lft_binary64_785` `sqr-abs_binary64_775` `rem-square-sqrt_binary64_772` `mul0-rgt_binary64_743` `*-inverses_binary64_740` `distribute-rgt-neg-out_binary64_720` `distribute-lft1-in_binary64_715`
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` `unpow1/2_binary64_824` `exp-to-pow_binary64_822` `unpow0_binary64_819` `unpow-1_binary64_817` `exp-lft-cube_binary64_816` `exp-cbrt_binary64_814` `exp-neg_binary64_807` `e-exp-1_binary64_805` `exp-0_binary64_802` `rem-exp-log_binary64_800` `cube-neg_binary64_787` `rem-cbrt-cube_binary64_784` `rem-cube-cbrt_binary64_783` `sqr-neg_binary64_774` `mul-1-neg_binary64_752` `remove-double-neg_binary64_748` `--rgt-identity_binary64_746` `+-lft-identity_binary64_744` `div0_binary64_741` `+-inverses_binary64_739` `lft-mult-inverse_binary64_738` `rgt-mult-inverse_binary64_737` `remove-double-div_binary64_736` `difference-of-sqr--1_binary64_731` `difference-of-sqr-1_binary64_730` `cancel-sign-sub_binary64_725` `distribute-frac-neg_binary64_723` `distribute-neg-out_binary64_722` `distribute-rgt1-in_binary64_716` `distribute-rgt-out--_binary64_714` `distribute-lft-out--_binary64_712` `distribute-lft-out_binary64_711` `associate--r-_binary64_699` `associate--l-_binary64_698`

Counts

123 → 348

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	122	2145
1	278	1820
2	1388	1797
3	3696	1787

prune445.0ms (2.2%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	343	5	348
Fresh	3	8	11
Picked	1	0	1
Done	0	0	0
Total	347	13	360

Error

0.0b

Counts

360 → 13

Compiler

Compiled 8710 to 3059 computations (64.9% saved)

localize10.0ms (0%)

Local error

Found 4 expressions with local error:

0.2b	(/.f64 (/.f64 (cos.f64 (.f64 x 2)) (fabs.f64 (.f64 s (.f64 x c)))) (fabs.f64 (.f64 s (*.f64 x c))))
0.4b	(/.f64 (cos.f64 (.f64 x 2)) (fabs.f64 (.f64 s (*.f64 x c))))
4.4b	(.f64 s (.f64 x c))
4.4b	(.f64 s (.f64 x c))

rewrite217.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

84×	`times-frac_binary64_766`
56×	`add-cube-cbrt_binary64_795` `add-sqr-sqrt_binary64_782` `*-un-lft-identity_binary64_760`
21×	`add-exp-log_binary64_798` `add-cbrt-cube_binary64_796`
16×	`associate-/l*_binary64_705`
14×	`pow1_binary64_821`
6×	`pow-prod-down_binary64_831` `prod-exp_binary64_809` `cbrt-unprod_binary64_793` `associate-l_binary64_701` `div-inv_binary64_757` `associate-/r*_binary64_704`
4×	`add-log-exp_binary64_799` `div-exp_binary64_811` `cbrt-undiv_binary64_794`
2×	`associate-r_binary64_700` `*-commutative_binary64_691` `frac-2neg_binary64_771` `clear-num_binary64_759`
1×	`associate-/l/_binary64_707`

Counts

4 → 133

Calls

4 calls:

6.0ms	(/.f64 (/.f64 (cos.f64 (.f64 x 2)) (fabs.f64 (.f64 s (.f64 x c)))) (fabs.f64 (.f64 s (*.f64 x c))))
6.0ms	(.f64 s (.f64 x c))
6.0ms	(.f64 s (.f64 x c))
4.0ms	(/.f64 (cos.f64 (.f64 x 2)) (fabs.f64 (.f64 s (*.f64 x c))))

Compiler

Compiled 4262 to 1412 computations (66.9% saved)

series1.2s (6%)

Error

0.0b

Counts

4 → 42

Calls

4 calls:

535.0ms	(/.f64 (/.f64 (cos.f64 (.f64 x 2)) (fabs.f64 (.f64 s (.f64 x c)))) (fabs.f64 (.f64 s (*.f64 x c))))
318.0ms	(/.f64 (cos.f64 (.f64 x 2)) (fabs.f64 (.f64 s (*.f64 x c))))
154.0ms	(.f64 s (.f64 x c))
142.0ms	(.f64 s (.f64 x c))

Compiler

Compiled 2252 to 1220 computations (45.8% saved)

simplify582.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

338×	`cancel-sign-sub-inv_binary64_726`
285×	`*-commutative_binary64_691`
283×	`associate-*l/_binary64_703`
248×	`associate-/r/_binary64_706`
244×	`associate-*r/_binary64_702`
213×	`unswap-sqr_binary64_728`
169×	`swap-sqr_binary64_727`
158×	`associate-/l/_binary64_707`
155×	`distribute-neg-frac_binary64_724`
113×	`sub-neg_binary64_753`
112×	`log-prod_binary64_846`
111×	`associate-/r*_binary64_704`
107×	`distribute-rgt-neg-in_binary64_718`
104×	`times-frac_binary64_766`
95×	`distribute-lft-neg-in_binary64_717`
93×	`associate-l_binary64_701`
84×	`associate-r_binary64_700`
79×	`sqr-pow_binary64_732`
78×	`neg-mul-1_binary64_756`
77×	`neg-sub0_binary64_755`
71×	`cube-prod_binary64_788`
69×	`associate--l-_binary64_698`
66×	`associate--l+_binary64_697`
56×	`associate-/l*_binary64_705`
43×	`distribute-rgt-in_binary64_710`
39×	`pow-sqr_binary64_733`
37×	`distribute-rgt-out--_binary64_714` `+-commutative_binary64_690`
36×	`log-div_binary64_847`
27×	`distribute-lft-in_binary64_709`
24×	`associate-+l-_binary64_695`
23×	`cube-div_binary64_789` `unsub-neg_binary64_754`
21×	`exp-prod_binary64_812`
20×	`div-sub_binary64_765` `distribute-neg-in_binary64_721`
19×	`/-rgt-identity_binary64_751` `distribute-lft-neg-out_binary64_719`
18×	`*-rgt-identity_binary64_750` `associate-+r-_binary64_694`
17×	`pow-plus_binary64_823` `distribute-rgt-out_binary64_713` `associate--r-_binary64_699`
16×	`div-exp_binary64_811` `prod-exp_binary64_809` `distribute-lft-out_binary64_711` `associate-+r+_binary64_692`
14×	`distribute-neg-out_binary64_722` `associate-+l+_binary64_693`
13×	`cube-unmult_binary64_797`
12×	`associate--r+_binary64_696`
11×	`sub0-neg_binary64_747`
10×	`+-rgt-identity_binary64_745`
9×	`log-pow_binary64_849` `unpow3_binary64_826` `cube-mult_binary64_790`
8×	`*-lft-identity_binary64_749`
6×	`distribute-rgt1-in_binary64_716` `count-2_binary64_708`
5×	`cancel-sign-sub_binary64_725` `distribute-rgt-neg-out_binary64_720`
4×	`rec-exp_binary64_810`
2×	`log-rec_binary64_848` `unpow2_binary64_825` `unpow1_binary64_818` `rem-sqrt-square_binary64_773` `distribute-frac-neg_binary64_723` `distribute-lft-out--_binary64_712`
1×	`exp-to-pow_binary64_822` `exp-lft-sqr_binary64_815` `exp-sqrt_binary64_813` `exp-diff_binary64_808` `1-exp_binary64_804` `rem-log-exp_binary64_801` `rem-3cbrt-rft_binary64_786` `rem-3cbrt-lft_binary64_785` `sqr-abs_binary64_775` `rem-square-sqrt_binary64_772` `remove-double-neg_binary64_748` `div0_binary64_741` `*-inverses_binary64_740` `rgt-mult-inverse_binary64_737`
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` `unpow1/2_binary64_824` `pow-base-1_binary64_820` `unpow0_binary64_819` `unpow-1_binary64_817` `exp-lft-cube_binary64_816` `exp-cbrt_binary64_814` `exp-neg_binary64_807` `exp-sum_binary64_806` `e-exp-1_binary64_805` `exp-1-e_binary64_803` `exp-0_binary64_802` `rem-exp-log_binary64_800` `cube-neg_binary64_787` `rem-cbrt-cube_binary64_784` `rem-cube-cbrt_binary64_783` `sqr-neg_binary64_774` `mul-1-neg_binary64_752` `--rgt-identity_binary64_746` `+-lft-identity_binary64_744` `mul0-rgt_binary64_743` `mul0-lft_binary64_742` `+-inverses_binary64_739` `lft-mult-inverse_binary64_738` `remove-double-div_binary64_736` `difference-of-sqr--1_binary64_731` `difference-of-sqr-1_binary64_730` `difference-of-squares_binary64_729` `distribute-lft1-in_binary64_715`

Counts

175 → 709

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	215	5386
1	475	5072
2	1436	4808
3	2936	4733

prune1.3s (6.7%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	706	3	709
Fresh	4	8	12
Picked	0	1	1
Done	0	0	0
Total	710	12	722

Error

Counts

722 → 12

Compiler

Compiled 25378 to 8535 computations (66.4% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.5b	(/.f64 (.f64 (cbrt.f64 (cos.f64 (.f64 2 x))) (cbrt.f64 (cos.f64 (.f64 2 x)))) (fabs.f64 (.f64 s (*.f64 x c))))
0.5b	(/.f64 (cbrt.f64 (cos.f64 (.f64 x 2))) (fabs.f64 (.f64 s (*.f64 x c))))
4.4b	(.f64 s (.f64 x c))
4.4b	(.f64 s (.f64 x c))

rewrite244.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

23×	`add-cube-cbrt_binary64_795` `add-sqr-sqrt_binary64_782` `*-un-lft-identity_binary64_760`
21×	`add-exp-log_binary64_798` `times-frac_binary64_766`
18×	`add-cbrt-cube_binary64_796`
14×	`pow1_binary64_821`
12×	`cbrt-prod_binary64_791`
7×	`prod-exp_binary64_809` `cbrt-unprod_binary64_793` `associate-/l*_binary64_705`
6×	`pow-prod-down_binary64_831` `associate-l_binary64_701` `associate-/r*_binary64_704`
4×	`add-log-exp_binary64_799`
3×	`div-exp_binary64_811` `cbrt-undiv_binary64_794`
2×	`associate-r_binary64_700` `*-commutative_binary64_691` `frac-2neg_binary64_771` `clear-num_binary64_759` `div-inv_binary64_757`

Counts

4 → 96

Calls

4 calls:

7.0ms	(/.f64 (.f64 (cbrt.f64 (cos.f64 (.f64 2 x))) (cbrt.f64 (cos.f64 (.f64 2 x)))) (fabs.f64 (.f64 s (*.f64 x c))))
5.0ms	(.f64 s (.f64 x c))
5.0ms	(.f64 s (.f64 x c))
5.0ms	(/.f64 (cbrt.f64 (cos.f64 (.f64 x 2))) (fabs.f64 (.f64 s (*.f64 x c))))

Compiler

Compiled 3892 to 1998 computations (48.7% saved)

series2.0s (9.8%)

Error

Counts

4 → 42

Calls

4 calls:

854.0ms	(/.f64 (.f64 (cbrt.f64 (cos.f64 (.f64 2 x))) (cbrt.f64 (cos.f64 (.f64 2 x)))) (fabs.f64 (.f64 s (*.f64 x c))))
693.0ms	(/.f64 (cbrt.f64 (cos.f64 (.f64 x 2))) (fabs.f64 (.f64 s (*.f64 x c))))
169.0ms	(.f64 s (.f64 x c))
166.0ms	(.f64 s (.f64 x c))

Compiler

Compiled 3906 to 2478 computations (36.6% saved)

simplify697.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

745×	`associate-/l*_binary64_705`
557×	`associate-/r*_binary64_704`
328×	`unswap-sqr_binary64_728`
317×	`associate-/l/_binary64_707`
258×	`*-commutative_binary64_691`
229×	`associate-*l/_binary64_703`
193×	`associate-*r/_binary64_702`
168×	`associate-/r/_binary64_706`
126×	`sub-neg_binary64_753`
112×	`sqr-pow_binary64_732`
110×	`log-div_binary64_847`
99×	`associate-r_binary64_700`
98×	`associate-l_binary64_701`
89×	`cube-div_binary64_789`
80×	`log-prod_binary64_846`
56×	`cube-prod_binary64_788` `times-frac_binary64_766`
55×	`pow-sqr_binary64_733`
50×	`neg-mul-1_binary64_756`
46×	`neg-sub0_binary64_755`
45×	`exp-prod_binary64_812`
38×	`cancel-sign-sub-inv_binary64_726`
37×	`unsub-neg_binary64_754`
27×	`div-sub_binary64_765` `+-commutative_binary64_690`
25×	`*-lft-identity_binary64_749` `distribute-rgt-neg-in_binary64_718` `associate--r+_binary64_696`
24×	`*-rgt-identity_binary64_750` `associate-+l+_binary64_693`
23×	`distribute-neg-frac_binary64_724`
22×	`/-rgt-identity_binary64_751`
21×	`distribute-neg-in_binary64_721`
20×	`distribute-rgt-in_binary64_710`
19×	`swap-sqr_binary64_727` `associate-+l-_binary64_695`
18×	`pow-plus_binary64_823`
16×	`log-pow_binary64_849`
15×	`distribute-lft-neg-in_binary64_717` `associate--l+_binary64_697`
14×	`cube-unmult_binary64_797`
13×	`sub0-neg_binary64_747` `associate-+r+_binary64_692`
12×	`unpow3_binary64_826` `associate-+r-_binary64_694`
11×	`cube-mult_binary64_790` `distribute-lft-neg-out_binary64_719` `associate--l-_binary64_698`
10×	`log-rec_binary64_848` `remove-double-div_binary64_736`
9×	`div-exp_binary64_811` `prod-exp_binary64_809`
8×	`distribute-lft-in_binary64_709`
6×	`rem-sqrt-square_binary64_773` `+-rgt-identity_binary64_745`
3×	`exp-lft-sqr_binary64_815` `exp-sqrt_binary64_813` `rec-exp_binary64_810`
2×	`unpow1/3_binary64_827` `unpow2_binary64_825` `unpow1_binary64_818` `rem-cbrt-cube_binary64_784` `mul0-rgt_binary64_743` `mul0-lft_binary64_742` `count-2_binary64_708`
1×	`exp-diff_binary64_808` `1-exp_binary64_804` `rem-log-exp_binary64_801` `rem-3cbrt-rft_binary64_786` `rem-3cbrt-lft_binary64_785` `sqr-abs_binary64_775` `div0_binary64_741` `*-inverses_binary64_740` `rgt-mult-inverse_binary64_737` `distribute-rgt-neg-out_binary64_720` `distribute-rgt-out_binary64_713` `distribute-lft-out_binary64_711`
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` `unpow1/2_binary64_824` `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-neg_binary64_807` `exp-sum_binary64_806` `e-exp-1_binary64_805` `exp-1-e_binary64_803` `exp-0_binary64_802` `rem-exp-log_binary64_800` `cube-neg_binary64_787` `rem-cube-cbrt_binary64_783` `sqr-neg_binary64_774` `rem-square-sqrt_binary64_772` `mul-1-neg_binary64_752` `remove-double-neg_binary64_748` `--rgt-identity_binary64_746` `+-lft-identity_binary64_744` `+-inverses_binary64_739` `lft-mult-inverse_binary64_738` `difference-of-sqr--1_binary64_731` `difference-of-sqr-1_binary64_730` `difference-of-squares_binary64_729` `cancel-sign-sub_binary64_725` `distribute-frac-neg_binary64_723` `distribute-neg-out_binary64_722` `distribute-rgt1-in_binary64_716` `distribute-lft1-in_binary64_715` `distribute-rgt-out--_binary64_714` `distribute-lft-out--_binary64_712` `associate--r-_binary64_699`

Counts

138 → 368

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	176	3453
1	373	2937
2	1167	2916
3	4213	2904

prune919.0ms (4.6%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	368	0	368
Fresh	0	10	10
Picked	0	1	1
Done	0	1	1
Total	368	12	380

Error

Counts

380 → 12

Compiler

Compiled 15148 to 7519 computations (50.4% saved)

regimes1.9s (9.5%)

Accuracy

Total 1.5b remaining (97.3%)

Threshold costs 0b (0%)

Compiler

Compiled 22952 to 14474 computations (36.9% saved)

bsearch9.0ms (0%)

Compiler: Compiled 16 to 14 computations (12.5% saved)

simplify6.0ms (0%)

Algorithm

1×	egg-herbie

Rules

10× *-commutative_binary64_691

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 neg-mul-1_binary64_756 neg-sub0_binary64_755 unsub-neg_binary64_754 sub-neg_binary64_753 mul-1-neg_binary64_752 /-rgt-identity_binary64_751 *-rgt-identity_binary64_750 *-lft-identity_binary64_749 remove-double-neg_binary64_748 sub0-neg_binary64_747 --rgt-identity_binary64_746 +-rgt-identity_binary64_745 +-lft-identity_binary64_744 cancel-sign-sub-inv_binary64_726 cancel-sign-sub_binary64_725 distribute-neg-frac_binary64_724 distribute-frac-neg_binary64_723 distribute-neg-out_binary64_722 distribute-neg-in_binary64_721 distribute-rgt-neg-out_binary64_720 distribute-lft-neg-out_binary64_719 distribute-rgt-neg-in_binary64_718 distribute-lft-neg-in_binary64_717 +-commutative_binary64_690

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	77
1	40	77

Proof

(if real (<= f64 (/ f64 (cos f64 (* f64 2 h0)) (* f64 (pow f64 h1 2) (* f64 (* f64 h0 (pow f64 h2 2)) h0))) h3) (/ f64 (/ f64 (cos f64 (* f64 h0 2)) (fabs f64 (* f64 h2 (* f64 h0 h1)))) (fabs f64 (* f64 h1 (* f64 h2 h0)))) (/ f64 (cos f64 (=> (* f64 h0 2))) (pow f64 (fabs f64 (* f64 h0 (* f64 h2 h1))) 2)))
*-commutative_binary64_691 =>
(if real (<= f64 (/ f64 (cos f64 (* f64 2 h0)) (* f64 (pow f64 h1 2) (* f64 (* f64 h0 (pow f64 h2 2)) h0))) h3) (/ f64 (/ f64 (cos f64 (=> (* f64 h0 2))) (fabs f64 (* f64 h2 (* f64 h0 h1)))) (fabs f64 (* f64 h1 (* f64 h2 h0)))) (/ f64 (cos f64 (* f64 2 h0)) (pow f64 (fabs f64 (* f64 h0 (* f64 h2 h1))) 2)))
*-commutative_binary64_691 =>
(if real (<= f64 (/ f64 (cos f64 (* f64 2 h0)) (* f64 (pow f64 h1 2) (* f64 (* f64 h0 (pow f64 h2 2)) h0))) h3) (/ f64 (/ f64 (cos f64 (* f64 2 h0)) (fabs f64 (* f64 h2 (* f64 h0 h1)))) (fabs f64 (* f64 h1 (* f64 h2 h0)))) (/ f64 (cos f64 (* f64 2 h0)) (pow f64 (fabs f64 (* f64 h0 (=> (* f64 h2 h1)))) 2)))
*-commutative_binary64_691 =>
(if real (<= f64 (/ f64 (cos f64 (* f64 2 h0)) (* f64 (pow f64 h1 2) (=> (* f64 (* f64 h0 (pow f64 h2 2)) h0)))) h3) (/ f64 (/ f64 (cos f64 (* f64 2 h0)) (fabs f64 (* f64 h2 (* f64 h0 h1)))) (fabs f64 (* f64 h1 (* f64 h2 h0)))) (/ f64 (cos f64 (* f64 2 h0)) (pow f64 (fabs f64 (* f64 h0 (* f64 h1 h2))) 2)))
*-commutative_binary64_691 =>
(if real (<= f64 (/ f64 (cos f64 (* f64 2 h0)) (* f64 (pow f64 h1 2) (* f64 h0 (* f64 h0 (pow f64 h2 2))))) h3) (/ f64 (/ f64 (cos f64 (* f64 2 h0)) (fabs f64 (* f64 h2 (* f64 h0 h1)))) (fabs f64 (* f64 h1 (=> (* f64 h2 h0))))) (/ f64 (cos f64 (* f64 2 h0)) (pow f64 (fabs f64 (* f64 h0 (* f64 h1 h2))) 2)))
*-commutative_binary64_691 =>
(if real (<= f64 (/ f64 (cos f64 (* f64 2 h0)) (* f64 (pow f64 h1 2) (* f64 h0 (* f64 h0 (pow f64 h2 2))))) h3) (/ f64 (/ f64 (cos f64 (* f64 2 h0)) (fabs f64 (* f64 h2 (* f64 h0 h1)))) (fabs f64 (* f64 h1 (* f64 h0 h2)))) (/ f64 (cos f64 (* f64 2 h0)) (pow f64 (fabs f64 (* f64 h0 (* f64 h1 h2))) 2)))

end0.0ms (0%)

sample4.6s (23.3%)

Algorithm

1×

intervals

Results

497.0ms	6144×	body	128	valid
303.0ms	938×	body	1024	valid
162.0ms	1885×	body	128	invalid
139.0ms	610×	body	512	valid
62.0ms	183×	body	1024	invalid
57.0ms	254×	body	512	invalid
53.0ms	305×	body	256	valid
26.0ms	165×	body	256	invalid
2.0ms	3×	body	2048	valid
1.0ms	1×	body	2048	invalid

Compiler

Compiled 3867 to 2439 computations (36.9% saved)

Details

analyze958.0ms (4.8%)

sample56.0ms (0.3%)

simplify254.0ms (1.3%)

prune16.0ms (0.1%)

localize14.0ms (0.1%)

rewrite187.0ms (0.9%)

series1.0s (5.2%)

simplify974.0ms (4.9%)

prune684.0ms (3.4%)

localize10.0ms (0.1%)

rewrite130.0ms (0.7%)

series1.0s (5.1%)

simplify434.0ms (2.2%)

prune445.0ms (2.2%)

localize10.0ms (0%)

rewrite217.0ms (1.1%)

series1.2s (6%)

simplify582.0ms (2.9%)

prune1.3s (6.7%)

localize17.0ms (0.1%)

rewrite244.0ms (1.2%)

series2.0s (9.8%)

simplify697.0ms (3.5%)

prune919.0ms (4.6%)

regimes1.9s (9.5%)

bsearch9.0ms (0%)

simplify6.0ms (0%)

end0.0ms (0%)

sample4.6s (23.3%)

Profiling