Details

analyze1.4s (7.2%)

Algorithm

1×	search
2×	egg-herbie

Rules

592×	`associate-l_binary64_701`
585×	`associate-r_binary64_700`
405×	`neg-sub0_binary64_755`
385×	`neg-mul-1_binary64_756`
321×	`sub-neg_binary64_753`
304×	`unsub-neg_binary64_754`
233×	`distribute-rgt-in_binary64_710`
230×	`distribute-lft-in_binary64_709`
219×	`*-commutative_binary64_691`
190×	`distribute-rgt-neg-out_binary64_720`
176×	`distribute-lft-neg-out_binary64_719`
160×	`cancel-sign-sub-inv_binary64_726`
114×	`unswap-sqr_binary64_728`
90×	`distribute-rgt-neg-in_binary64_718`
82×	`distribute-lft-neg-in_binary64_717`
78×	`+-commutative_binary64_690`
74×	`difference-of-squares_binary64_729`
54×	`associate-/l*_binary64_705`
50×	`associate-+r+_binary64_692`
48×	`+-lft-identity_binary64_744`
39×	`sqr-pow_binary64_732` `associate-/r*_binary64_704`
37×	`associate--r+_binary64_696`
36×	`associate-/r/_binary64_706`
21×	`pow-plus_binary64_823`
20×	`+-rgt-identity_binary64_745`
19×	`distribute-neg-in_binary64_721`
18×	`associate-+l+_binary64_693`
16×	`associate-+r-_binary64_694`
15×	`rem-sqrt-square_binary64_773`
14×	`div-sub_binary64_765`
13×	`remove-double-neg_binary64_748` `associate-+l-_binary64_695`
12×	`cube-unmult_binary64_797` `associate-/l/_binary64_707` `associate-*l/_binary64_703`
8×	`sub0-neg_binary64_747`
6×	`unpow3_binary64_826` `unpow2_binary64_825` `mul-1-neg_binary64_752` `mul0-rgt_binary64_743` `mul0-lft_binary64_742`
4×	`sqr-neg_binary64_774` `associate--r-_binary64_699`
3×	`unpow1/2_binary64_824` `unpow1_binary64_818` `pow-sqr_binary64_733` `associate-*r/_binary64_702`
2×	`cube-prod_binary64_788` `cube-neg_binary64_787` `*-lft-identity_binary64_749` `cancel-sign-sub_binary64_725` `associate--l+_binary64_697`
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-mult_binary64_790` `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` `/-rgt-identity_binary64_751` `-rgt-identity_binary64_750` `--rgt-identity_binary64_746` `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` `swap-sqr_binary64_727` `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-rgt-out_binary64_713` `distribute-lft-out--_binary64_712` `distribute-lft-out_binary64_711` `count-2_binary64_708` `associate--l-_binary64_698`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	148
1	92	148
2	236	148
3	671	148
4	2494	148
5	3779	148
6	4724	148
7	4956	148
0	3	3
1	3	3

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
25%	74.9%	0.1%	6
25%	74.9%	0.1%	7
31.2%	68.6%	0.1%	8
40.6%	59.3%	0.1%	9
40.6%	59.3%	0.1%	10
46%	53.8%	0.1%	11
52.7%	47.2%	0.1%	12
52.7%	44.6%	2.8%	13
55.9%	40.6%	3.5%	14

Compiler

Compiled 24 to 22 computations (8.3% saved)

sample120.0ms (0.6%)

Algorithm

1×

intervals

Results

20.0ms	40×	body	1024	valid
19.0ms	38×	body	1024	invalid
19.0ms	166×	body	128	valid
9.0ms	36×	body	128	invalid
9.0ms	25×	body	512	invalid
9.0ms	24×	body	512	valid
8.0ms	10×	body	2048	valid
4.0ms	15×	body	256	valid
4.0ms	1×	body	4096	valid
3.0ms	12×	body	256	invalid

Compiler

Compiled 47 to 46 computations (2.1% saved)

simplify57.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

416×	`sub-neg_binary64_753`
404×	`neg-mul-1_binary64_756`
392×	`neg-sub0_binary64_755`
387×	`unsub-neg_binary64_754`
358×	`*-commutative_binary64_691`
324×	`distribute-rgt-in_binary64_710`
306×	`distribute-lft-in_binary64_709`
279×	`associate-+r+_binary64_692`
272×	`difference-of-squares_binary64_729`
185×	`distribute-lft-neg-out_binary64_719`
182×	`distribute-rgt-neg-out_binary64_720`
181×	`+-lft-identity_binary64_744`
165×	`associate-l_binary64_701`
161×	`associate-r_binary64_700`
109×	`distribute-rgt-neg-in_binary64_718`
107×	`associate-+l+_binary64_693`
98×	`distribute-lft-neg-in_binary64_717`
86×	`unswap-sqr_binary64_728`
63×	`+-commutative_binary64_690`
58×	`cancel-sign-sub-inv_binary64_726`
42×	`sqr-pow_binary64_732`
32×	`associate-+l-_binary64_695`
29×	`sub0-neg_binary64_747` `+-rgt-identity_binary64_745`
22×	`associate-+r-_binary64_694`
19×	`mul0-rgt_binary64_743` `mul0-lft_binary64_742`
16×	`pow-plus_binary64_823`
12×	`associate--r+_binary64_696`
10×	`rem-sqrt-square_binary64_773` `distribute-neg-in_binary64_721`
8×	`cube-unmult_binary64_797` `--rgt-identity_binary64_746`
6×	`unpow2_binary64_825` `remove-double-neg_binary64_748` `pow-sqr_binary64_733`
4×	`unpow3_binary64_826` `unpow1_binary64_818` `cube-prod_binary64_788` `distribute-rgt-out_binary64_713`
3×	`associate--l+_binary64_697`
2×	`unpow1/2_binary64_824` `cube-neg_binary64_787` `sqr-neg_binary64_774` `mul-1-neg_binary64_752` `associate-/l*_binary64_705`
1×	`1-exp_binary64_804` `distribute-rgt-out--_binary64_714` `associate-/r/_binary64_706` `associate-l/_binary64_703` `associate-r/_binary64_702` `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` `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-mult_binary64_790` `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` `-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` `swap-sqr_binary64_727` `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-lft-out--_binary64_712` `distribute-lft-out_binary64_711` `count-2_binary64_708` `associate-/l/_binary64_707` `associate-/r_binary64_704` `associate--l-_binary64_698`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	37
1	37	37
2	83	37
3	216	37
4	757	37
5	1786	37
6	3567	37
7	4638	37
8	4912	37

prune4.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Error

28.8b

Counts

2 → 1

Compiler

Compiled 46 to 40 computations (13% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.6b	(-.f64 (pow.f64 b 2) (pow.f64 a 2))
7.8b	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 PI.f64 (/.f64 angle 180))))
23.0b	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))
23.1b	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))

rewrite207.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

28.3b

Rules

23×	`add-sqr-sqrt_binary64_782`
16×	`difference-of-squares_binary64_729`
13×	`unpow-prod-down_binary64_839`
11×	`*-un-lft-identity_binary64_760`
9×	`pow1_binary64_821` `add-exp-log_binary64_798` `add-cbrt-cube_binary64_796` `unpow2_binary64_825` `sqr-pow_binary64_732`
8×	`cancel-sign-sub-inv_binary64_726`
7×	`add-cube-cbrt_binary64_795`
6×	`add-log-exp_binary64_799`
3×	`pow-prod-down_binary64_831` `prod-exp_binary64_809` `cbrt-unprod_binary64_793` `associate-r_binary64_700`
2×	`flip3--_binary64_764` `associate-r/_binary64_702` `associate-l/_binary64_703` `flip--_binary64_735` `distribute-lft-out--_binary64_712`
1×	`associate-l_binary64_701` `*-commutative_binary64_691` `diff-log_binary64_852` `sub-neg_binary64_753`

Counts

4 → 71

Calls

4 calls:

16.0ms	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 PI.f64 (/.f64 angle 180))))
10.0ms	(-.f64 (pow.f64 b 2) (pow.f64 a 2))
2.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
2.0ms	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))

Compiler

Compiled 2305 to 1733 computations (24.8% saved)

series882.0ms (4.7%)

Error

27.0b

Counts

4 → 36

Calls

4 calls:

627.0ms	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 PI.f64 (/.f64 angle 180))))
135.0ms	(-.f64 (pow.f64 b 2) (pow.f64 a 2))
34.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
28.0ms	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))

Compiler

Compiled 2390 to 1977 computations (17.3% saved)

simplify117.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

510×	`*-commutative_binary64_691`
500×	`cancel-sign-sub-inv_binary64_726`
239×	`exp-prod_binary64_812`
225×	`distribute-rgt-in_binary64_710`
221×	`distribute-lft-in_binary64_709`
194×	`unswap-sqr_binary64_728`
192×	`associate-r_binary64_700`
185×	`associate-l_binary64_701`
153×	`difference-of-squares_binary64_729`
145×	`distribute-rgt-neg-in_binary64_718`
141×	`sub-neg_binary64_753`
135×	`distribute-lft-neg-in_binary64_717`
123×	`sqr-pow_binary64_732`
121×	`neg-mul-1_binary64_756`
116×	`neg-sub0_binary64_755`
77×	`unsub-neg_binary64_754`
64×	`+-commutative_binary64_690`
57×	`cube-prod_binary64_788`
56×	`swap-sqr_binary64_727`
52×	`exp-sum_binary64_806`
50×	`log-prod_binary64_846`
47×	`unpow3_binary64_826`
38×	`pow-sqr_binary64_733`
31×	`distribute-lft-neg-out_binary64_719`
23×	`rem-sqrt-square_binary64_773`
21×	`distribute-rgt-out--_binary64_714`
20×	`pow-plus_binary64_823` `cube-unmult_binary64_797`
19×	`associate-+l+_binary64_693`
18×	`distribute-rgt-neg-out_binary64_720`
17×	`mul0-rgt_binary64_743` `mul0-lft_binary64_742`
16×	`associate-+l-_binary64_695`
14×	`-rgt-identity_binary64_750` `-lft-identity_binary64_749`
13×	`distribute-rgt-out_binary64_713` `associate-+r-_binary64_694` `associate-+r+_binary64_692`
12×	`sub0-neg_binary64_747`
11×	`unpow1/2_binary64_824` `+-rgt-identity_binary64_745`
10×	`cube-mult_binary64_790`
9×	`unpow1_binary64_818` `exp-lft-sqr_binary64_815`
8×	`unpow2_binary64_825` `exp-diff_binary64_808` `distribute-lft-out--_binary64_712` `associate--l+_binary64_697`
6×	`prod-exp_binary64_809` `distribute-lft-out_binary64_711` `associate--r+_binary64_696`
5×	`associate-/l*_binary64_705`
3×	`rem-square-sqrt_binary64_772` `times-frac_binary64_766`
2×	`div-sub_binary64_765` `distribute-neg-in_binary64_721` `associate-/r_binary64_704` `associate-r/_binary64_702`
1×	`div-exp_binary64_811` `exp-neg_binary64_807` `1-exp_binary64_804` `exp-1-e_binary64_803` `rem-3cbrt-rft_binary64_786` `rem-3cbrt-lft_binary64_785` `rem-cbrt-cube_binary64_784` `sqr-neg_binary64_774` `associate-/r/_binary64_706` `associate-*l/_binary64_703`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_1023` `erf-erfc_binary64_1022` `erf-odd_binary64_1021` `if-if-and-not_binary64_1020` `if-if-and_binary64_1019` `if-if-or-not_binary64_1018` `if-if-or_binary64_1017` `if-not_binary64_1016` `if-same_binary64_1015` `if-false_binary64_1014` `if-true_binary64_1013` `not-gte_binary64_1012` `not-lte_binary64_1011` `not-gt_binary64_1010` `not-lt_binary64_1009` `gte-same_binary64_1008` `lte-same_binary64_1007` `gt-same_binary64_1006` `lt-same_binary64_1005` `sinh---cosh_binary64_952` `sinh-+-cosh_binary64_951` `sinh-cosh_binary64_950` `tanh-def-c_binary64_949` `tanh-def-b_binary64_948` `tanh-def-a_binary64_947` `cosh-def_binary64_946` `sinh-def_binary64_945` `tan-neg_binary64_892` `cos-neg_binary64_891` `sin-neg_binary64_890` `tan-0_binary64_889` `cos-0_binary64_888` `sin-0_binary64_887` `hang-m-tan_binary64_886` `hang-p-tan_binary64_885` `hang-m0-tan_binary64_884` `hang-p0-tan_binary64_883` `hang-0m-tan_binary64_882` `hang-0p-tan_binary64_881` `tan-+PI/2_binary64_880` `tan-+PI_binary64_879` `tan-PI_binary64_878` `tan-PI/3_binary64_877` `tan-PI/4_binary64_876` `tan-PI/6_binary64_875` `cos-+PI/2_binary64_874` `cos-+PI_binary64_873` `cos-PI_binary64_872` `cos-PI/2_binary64_871` `cos-PI/3_binary64_870` `cos-PI/4_binary64_869` `cos-PI/6_binary64_868` `sin-+PI/2_binary64_867` `sin-+PI_binary64_866` `sin-PI_binary64_865` `sin-PI/2_binary64_864` `sin-PI/3_binary64_863` `sin-PI/4_binary64_862` `sin-PI/6_binary64_861` `sub-1-sin_binary64_860` `sub-1-cos_binary64_859` `-1-add-sin_binary64_858` `-1-add-cos_binary64_857` `1-sub-sin_binary64_856` `1-sub-cos_binary64_855` `cos-sin-sum_binary64_854` `log-E_binary64_850` `log-pow_binary64_849` `log-rec_binary64_848` `log-div_binary64_847` `pow-base-0_binary64_844` `unpow1/3_binary64_827` `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-0_binary64_802` `rem-log-exp_binary64_801` `rem-exp-log_binary64_800` `cube-div_binary64_789` `cube-neg_binary64_787` `rem-cube-cbrt_binary64_783` `sqr-abs_binary64_775` `mul-1-neg_binary64_752` `/-rgt-identity_binary64_751` `remove-double-neg_binary64_748` `--rgt-identity_binary64_746` `+-lft-identity_binary64_744` `div0_binary64_741` `*-inverses_binary64_740` `+-inverses_binary64_739` `lft-mult-inverse_binary64_738` `rgt-mult-inverse_binary64_737` `remove-double-div_binary64_736` `difference-of-sqr--1_binary64_731` `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-/l/_binary64_707` `associate--r-_binary64_699` `associate--l-_binary64_698`

Counts

107 → 83

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	193	2322
1	439	1727
2	1303	1699
3	3140	1699
4	4862	1699
5	4971	1699

prune160.0ms (0.9%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	65	18	83
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	66	18	84

Error

27.7b

Counts

84 → 18

Compiler

Compiled 2676 to 1651 computations (38.3% saved)

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.6b	(-.f64 (pow.f64 b 2) (pow.f64 a 2))
7.8b	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 PI.f64 (/.f64 angle 180))))
23.0b	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))
23.1b	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))

rewrite192.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

27.7b

Rules

23×	`add-sqr-sqrt_binary64_782`
16×	`difference-of-squares_binary64_729`
13×	`unpow-prod-down_binary64_839`
11×	`*-un-lft-identity_binary64_760`
9×	`pow1_binary64_821` `add-exp-log_binary64_798` `add-cbrt-cube_binary64_796` `unpow2_binary64_825` `sqr-pow_binary64_732`
8×	`cancel-sign-sub-inv_binary64_726`
7×	`add-cube-cbrt_binary64_795`
6×	`add-log-exp_binary64_799`
3×	`pow-prod-down_binary64_831` `prod-exp_binary64_809` `cbrt-unprod_binary64_793` `associate-r_binary64_700`
2×	`flip3--_binary64_764` `associate-r/_binary64_702` `associate-l/_binary64_703` `flip--_binary64_735` `distribute-lft-out--_binary64_712`
1×	`associate-l_binary64_701` `*-commutative_binary64_691` `diff-log_binary64_852` `sub-neg_binary64_753`

Counts

4 → 71

Calls

4 calls:

16.0ms	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 PI.f64 (/.f64 angle 180))))
10.0ms	(-.f64 (pow.f64 b 2) (pow.f64 a 2))
2.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
2.0ms	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))

Compiler

Compiled 2518 to 1946 computations (22.7% saved)

series904.0ms (4.8%)

Error

27.0b

Counts

4 → 36

Calls

4 calls:

631.0ms	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 PI.f64 (/.f64 angle 180))))
142.0ms	(-.f64 (pow.f64 b 2) (pow.f64 a 2))
36.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
29.0ms	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))

Compiler

Compiled 2669 to 2256 computations (15.5% saved)

simplify117.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

510×	`*-commutative_binary64_691`
500×	`cancel-sign-sub-inv_binary64_726`
239×	`exp-prod_binary64_812`
225×	`distribute-rgt-in_binary64_710`
221×	`distribute-lft-in_binary64_709`
194×	`unswap-sqr_binary64_728`
192×	`associate-r_binary64_700`
185×	`associate-l_binary64_701`
153×	`difference-of-squares_binary64_729`
145×	`distribute-rgt-neg-in_binary64_718`
141×	`sub-neg_binary64_753`
135×	`distribute-lft-neg-in_binary64_717`
123×	`sqr-pow_binary64_732`
121×	`neg-mul-1_binary64_756`
116×	`neg-sub0_binary64_755`
77×	`unsub-neg_binary64_754`
64×	`+-commutative_binary64_690`
57×	`cube-prod_binary64_788`
56×	`swap-sqr_binary64_727`
52×	`exp-sum_binary64_806`
50×	`log-prod_binary64_846`
47×	`unpow3_binary64_826`
38×	`pow-sqr_binary64_733`
31×	`distribute-lft-neg-out_binary64_719`
23×	`rem-sqrt-square_binary64_773`
21×	`distribute-rgt-out--_binary64_714`
20×	`pow-plus_binary64_823` `cube-unmult_binary64_797`
19×	`associate-+l+_binary64_693`
18×	`distribute-rgt-neg-out_binary64_720`
17×	`mul0-rgt_binary64_743` `mul0-lft_binary64_742`
16×	`associate-+l-_binary64_695`
14×	`-rgt-identity_binary64_750` `-lft-identity_binary64_749`
13×	`distribute-rgt-out_binary64_713` `associate-+r-_binary64_694` `associate-+r+_binary64_692`
12×	`sub0-neg_binary64_747`
11×	`unpow1/2_binary64_824` `+-rgt-identity_binary64_745`
10×	`cube-mult_binary64_790`
9×	`unpow1_binary64_818` `exp-lft-sqr_binary64_815`
8×	`unpow2_binary64_825` `exp-diff_binary64_808` `distribute-lft-out--_binary64_712` `associate--l+_binary64_697`
6×	`prod-exp_binary64_809` `distribute-lft-out_binary64_711` `associate--r+_binary64_696`
5×	`associate-/l*_binary64_705`
3×	`rem-square-sqrt_binary64_772` `times-frac_binary64_766`
2×	`div-sub_binary64_765` `distribute-neg-in_binary64_721` `associate-/r_binary64_704` `associate-r/_binary64_702`
1×	`div-exp_binary64_811` `exp-neg_binary64_807` `1-exp_binary64_804` `exp-1-e_binary64_803` `rem-3cbrt-rft_binary64_786` `rem-3cbrt-lft_binary64_785` `rem-cbrt-cube_binary64_784` `sqr-neg_binary64_774` `associate-/r/_binary64_706` `associate-*l/_binary64_703`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_1023` `erf-erfc_binary64_1022` `erf-odd_binary64_1021` `if-if-and-not_binary64_1020` `if-if-and_binary64_1019` `if-if-or-not_binary64_1018` `if-if-or_binary64_1017` `if-not_binary64_1016` `if-same_binary64_1015` `if-false_binary64_1014` `if-true_binary64_1013` `not-gte_binary64_1012` `not-lte_binary64_1011` `not-gt_binary64_1010` `not-lt_binary64_1009` `gte-same_binary64_1008` `lte-same_binary64_1007` `gt-same_binary64_1006` `lt-same_binary64_1005` `sinh---cosh_binary64_952` `sinh-+-cosh_binary64_951` `sinh-cosh_binary64_950` `tanh-def-c_binary64_949` `tanh-def-b_binary64_948` `tanh-def-a_binary64_947` `cosh-def_binary64_946` `sinh-def_binary64_945` `tan-neg_binary64_892` `cos-neg_binary64_891` `sin-neg_binary64_890` `tan-0_binary64_889` `cos-0_binary64_888` `sin-0_binary64_887` `hang-m-tan_binary64_886` `hang-p-tan_binary64_885` `hang-m0-tan_binary64_884` `hang-p0-tan_binary64_883` `hang-0m-tan_binary64_882` `hang-0p-tan_binary64_881` `tan-+PI/2_binary64_880` `tan-+PI_binary64_879` `tan-PI_binary64_878` `tan-PI/3_binary64_877` `tan-PI/4_binary64_876` `tan-PI/6_binary64_875` `cos-+PI/2_binary64_874` `cos-+PI_binary64_873` `cos-PI_binary64_872` `cos-PI/2_binary64_871` `cos-PI/3_binary64_870` `cos-PI/4_binary64_869` `cos-PI/6_binary64_868` `sin-+PI/2_binary64_867` `sin-+PI_binary64_866` `sin-PI_binary64_865` `sin-PI/2_binary64_864` `sin-PI/3_binary64_863` `sin-PI/4_binary64_862` `sin-PI/6_binary64_861` `sub-1-sin_binary64_860` `sub-1-cos_binary64_859` `-1-add-sin_binary64_858` `-1-add-cos_binary64_857` `1-sub-sin_binary64_856` `1-sub-cos_binary64_855` `cos-sin-sum_binary64_854` `log-E_binary64_850` `log-pow_binary64_849` `log-rec_binary64_848` `log-div_binary64_847` `pow-base-0_binary64_844` `unpow1/3_binary64_827` `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-0_binary64_802` `rem-log-exp_binary64_801` `rem-exp-log_binary64_800` `cube-div_binary64_789` `cube-neg_binary64_787` `rem-cube-cbrt_binary64_783` `sqr-abs_binary64_775` `mul-1-neg_binary64_752` `/-rgt-identity_binary64_751` `remove-double-neg_binary64_748` `--rgt-identity_binary64_746` `+-lft-identity_binary64_744` `div0_binary64_741` `*-inverses_binary64_740` `+-inverses_binary64_739` `lft-mult-inverse_binary64_738` `rgt-mult-inverse_binary64_737` `remove-double-div_binary64_736` `difference-of-sqr--1_binary64_731` `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-/l/_binary64_707` `associate--r-_binary64_699` `associate--l-_binary64_698`

Counts

107 → 83

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	193	2322
1	439	1727
2	1303	1699
3	3140	1699
4	4862	1699
5	4971	1699

prune179.0ms (1%)

Pruning

23 alts after pruning (23 fresh and 0 done)

	Pruned	Kept	Total
New	73	10	83
Fresh	4	13	17
Picked	1	0	1
Done	0	0	0
Total	78	23	101

Error

27.7b

Counts

101 → 23

Compiler

Compiled 3087 to 2026 computations (34.4% saved)

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.6b	(-.f64 (pow.f64 b 2) (pow.f64 a 2))
7.8b	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 PI.f64 (/.f64 angle 180))))
23.0b	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))
23.1b	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))

rewrite218.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

27.7b

Rules

23×	`add-sqr-sqrt_binary64_782`
16×	`difference-of-squares_binary64_729`
13×	`unpow-prod-down_binary64_839`
11×	`*-un-lft-identity_binary64_760`
9×	`pow1_binary64_821` `add-exp-log_binary64_798` `add-cbrt-cube_binary64_796` `unpow2_binary64_825` `sqr-pow_binary64_732`
8×	`cancel-sign-sub-inv_binary64_726`
7×	`add-cube-cbrt_binary64_795`
6×	`add-log-exp_binary64_799`
3×	`pow-prod-down_binary64_831` `prod-exp_binary64_809` `cbrt-unprod_binary64_793` `associate-r_binary64_700`
2×	`flip3--_binary64_764` `associate-r/_binary64_702` `associate-l/_binary64_703` `flip--_binary64_735` `distribute-lft-out--_binary64_712`
1×	`associate-l_binary64_701` `*-commutative_binary64_691` `diff-log_binary64_852` `sub-neg_binary64_753`

Counts

4 → 71

Calls

4 calls:

16.0ms	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 PI.f64 (/.f64 angle 180))))
10.0ms	(-.f64 (pow.f64 b 2) (pow.f64 a 2))
2.0ms	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))
2.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))

Compiler

Compiled 2731 to 2159 computations (20.9% saved)

series916.0ms (4.9%)

Error

27.0b

Counts

4 → 36

Calls

4 calls:

621.0ms	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 PI.f64 (/.f64 angle 180))))
160.0ms	(-.f64 (pow.f64 b 2) (pow.f64 a 2))
35.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
31.0ms	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))

Compiler

Compiled 2948 to 2535 computations (14% saved)

simplify120.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

510×	`*-commutative_binary64_691`
500×	`cancel-sign-sub-inv_binary64_726`
239×	`exp-prod_binary64_812`
225×	`distribute-rgt-in_binary64_710`
221×	`distribute-lft-in_binary64_709`
194×	`unswap-sqr_binary64_728`
192×	`associate-r_binary64_700`
185×	`associate-l_binary64_701`
153×	`difference-of-squares_binary64_729`
145×	`distribute-rgt-neg-in_binary64_718`
141×	`sub-neg_binary64_753`
135×	`distribute-lft-neg-in_binary64_717`
123×	`sqr-pow_binary64_732`
121×	`neg-mul-1_binary64_756`
116×	`neg-sub0_binary64_755`
77×	`unsub-neg_binary64_754`
64×	`+-commutative_binary64_690`
57×	`cube-prod_binary64_788`
56×	`swap-sqr_binary64_727`
52×	`exp-sum_binary64_806`
50×	`log-prod_binary64_846`
47×	`unpow3_binary64_826`
38×	`pow-sqr_binary64_733`
31×	`distribute-lft-neg-out_binary64_719`
23×	`rem-sqrt-square_binary64_773`
21×	`distribute-rgt-out--_binary64_714`
20×	`pow-plus_binary64_823` `cube-unmult_binary64_797`
19×	`associate-+l+_binary64_693`
18×	`distribute-rgt-neg-out_binary64_720`
17×	`mul0-rgt_binary64_743` `mul0-lft_binary64_742`
16×	`associate-+l-_binary64_695`
14×	`-rgt-identity_binary64_750` `-lft-identity_binary64_749`
13×	`distribute-rgt-out_binary64_713` `associate-+r-_binary64_694` `associate-+r+_binary64_692`
12×	`sub0-neg_binary64_747`
11×	`unpow1/2_binary64_824` `+-rgt-identity_binary64_745`
10×	`cube-mult_binary64_790`
9×	`unpow1_binary64_818` `exp-lft-sqr_binary64_815`
8×	`unpow2_binary64_825` `exp-diff_binary64_808` `distribute-lft-out--_binary64_712` `associate--l+_binary64_697`
6×	`prod-exp_binary64_809` `distribute-lft-out_binary64_711` `associate--r+_binary64_696`
5×	`associate-/l*_binary64_705`
3×	`rem-square-sqrt_binary64_772` `times-frac_binary64_766`
2×	`div-sub_binary64_765` `distribute-neg-in_binary64_721` `associate-/r_binary64_704` `associate-r/_binary64_702`
1×	`div-exp_binary64_811` `exp-neg_binary64_807` `1-exp_binary64_804` `exp-1-e_binary64_803` `rem-3cbrt-rft_binary64_786` `rem-3cbrt-lft_binary64_785` `rem-cbrt-cube_binary64_784` `sqr-neg_binary64_774` `associate-/r/_binary64_706` `associate-*l/_binary64_703`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_1023` `erf-erfc_binary64_1022` `erf-odd_binary64_1021` `if-if-and-not_binary64_1020` `if-if-and_binary64_1019` `if-if-or-not_binary64_1018` `if-if-or_binary64_1017` `if-not_binary64_1016` `if-same_binary64_1015` `if-false_binary64_1014` `if-true_binary64_1013` `not-gte_binary64_1012` `not-lte_binary64_1011` `not-gt_binary64_1010` `not-lt_binary64_1009` `gte-same_binary64_1008` `lte-same_binary64_1007` `gt-same_binary64_1006` `lt-same_binary64_1005` `sinh---cosh_binary64_952` `sinh-+-cosh_binary64_951` `sinh-cosh_binary64_950` `tanh-def-c_binary64_949` `tanh-def-b_binary64_948` `tanh-def-a_binary64_947` `cosh-def_binary64_946` `sinh-def_binary64_945` `tan-neg_binary64_892` `cos-neg_binary64_891` `sin-neg_binary64_890` `tan-0_binary64_889` `cos-0_binary64_888` `sin-0_binary64_887` `hang-m-tan_binary64_886` `hang-p-tan_binary64_885` `hang-m0-tan_binary64_884` `hang-p0-tan_binary64_883` `hang-0m-tan_binary64_882` `hang-0p-tan_binary64_881` `tan-+PI/2_binary64_880` `tan-+PI_binary64_879` `tan-PI_binary64_878` `tan-PI/3_binary64_877` `tan-PI/4_binary64_876` `tan-PI/6_binary64_875` `cos-+PI/2_binary64_874` `cos-+PI_binary64_873` `cos-PI_binary64_872` `cos-PI/2_binary64_871` `cos-PI/3_binary64_870` `cos-PI/4_binary64_869` `cos-PI/6_binary64_868` `sin-+PI/2_binary64_867` `sin-+PI_binary64_866` `sin-PI_binary64_865` `sin-PI/2_binary64_864` `sin-PI/3_binary64_863` `sin-PI/4_binary64_862` `sin-PI/6_binary64_861` `sub-1-sin_binary64_860` `sub-1-cos_binary64_859` `-1-add-sin_binary64_858` `-1-add-cos_binary64_857` `1-sub-sin_binary64_856` `1-sub-cos_binary64_855` `cos-sin-sum_binary64_854` `log-E_binary64_850` `log-pow_binary64_849` `log-rec_binary64_848` `log-div_binary64_847` `pow-base-0_binary64_844` `unpow1/3_binary64_827` `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-0_binary64_802` `rem-log-exp_binary64_801` `rem-exp-log_binary64_800` `cube-div_binary64_789` `cube-neg_binary64_787` `rem-cube-cbrt_binary64_783` `sqr-abs_binary64_775` `mul-1-neg_binary64_752` `/-rgt-identity_binary64_751` `remove-double-neg_binary64_748` `--rgt-identity_binary64_746` `+-lft-identity_binary64_744` `div0_binary64_741` `*-inverses_binary64_740` `+-inverses_binary64_739` `lft-mult-inverse_binary64_738` `rgt-mult-inverse_binary64_737` `remove-double-div_binary64_736` `difference-of-sqr--1_binary64_731` `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-/l/_binary64_707` `associate--r-_binary64_699` `associate--l-_binary64_698`

Counts

107 → 83

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	193	2322
1	439	1727
2	1303	1699
3	3140	1699
4	4862	1699
5	4971	1699

prune191.0ms (1%)

Pruning

25 alts after pruning (25 fresh and 0 done)

	Pruned	Kept	Total
New	78	5	83
Fresh	2	20	22
Picked	1	0	1
Done	0	0	0
Total	81	25	106

Error

27.7b

Counts

106 → 25

Compiler

Compiled 3441 to 2347 computations (31.8% saved)

localize22.0ms (0.1%)

Local error

Found 4 expressions with local error:

23.0b	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))
23.1b	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
23.1b	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
23.1b	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))

rewrite91.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

27.7b

Rules

4×	`pow1_binary64_821` `add-log-exp_binary64_799` `add-exp-log_binary64_798` `add-cbrt-cube_binary64_796` `add-cube-cbrt_binary64_795` `add-sqr-sqrt_binary64_782` `*-un-lft-identity_binary64_760`

Counts

4 → 28

Calls

4 calls:

2.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
2.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
2.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
2.0ms	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))

Compiler

Compiled 1876 to 1031 computations (45% saved)

series202.0ms (1.1%)

Error

26.9b

Counts

4 → 16

Calls

4 calls:

42.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
42.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
35.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
34.0ms	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))

Compiler

Compiled 2760 to 1652 computations (40.1% saved)

simplify91.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

747×	`unswap-sqr_binary64_728`
568×	`distribute-rgt-neg-in_binary64_718`
553×	`distribute-lft-neg-in_binary64_717`
338×	`*-commutative_binary64_691`
295×	`cancel-sign-sub-inv_binary64_726`
282×	`unsub-neg_binary64_754`
260×	`associate-/l/_binary64_707`
214×	`neg-mul-1_binary64_756`
210×	`neg-sub0_binary64_755`
169×	`distribute-rgt-in_binary64_710`
166×	`associate-r_binary64_700`
158×	`associate-l_binary64_701`
151×	`distribute-lft-in_binary64_709`
125×	`sub-neg_binary64_753`
56×	`sqr-pow_binary64_732`
38×	`associate-/l_binary64_705` `associate-/r_binary64_704`
36×	`associate-/r/_binary64_706`
18×	`distribute-neg-in_binary64_721`
17×	`mul0-rgt_binary64_743` `mul0-lft_binary64_742` `distribute-rgt-out--_binary64_714`
16×	`pow-plus_binary64_823` `cube-unmult_binary64_797` `+-commutative_binary64_690`
14×	`unpow3_binary64_826`
13×	`distribute-lft-neg-out_binary64_719` `distribute-rgt-out_binary64_713`
12×	`cube-prod_binary64_788` `pow-sqr_binary64_733`
10×	`distribute-rgt-neg-out_binary64_720`
6×	`unpow2_binary64_825` `distribute-lft-out--_binary64_712` `associate-l/_binary64_703` `associate-r/_binary64_702`
5×	`associate-+l-_binary64_695`
4×	`cube-mult_binary64_790` `sub0-neg_binary64_747` `distribute-lft-out_binary64_711` `associate--r+_binary64_696`
2×	`unpow1/2_binary64_824` `unpow1_binary64_818` `rem-sqrt-square_binary64_773` `--rgt-identity_binary64_746` `+-rgt-identity_binary64_745` `associate-+r-_binary64_694` `associate-+l+_binary64_693` `associate-+r+_binary64_692`
1×	`cos-neg_binary64_891` `sin-neg_binary64_890` `1-exp_binary64_804` `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` `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` `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` `times-frac_binary64_766` `div-sub_binary64_765` `mul-1-neg_binary64_752` `/-rgt-identity_binary64_751` `-rgt-identity_binary64_750` `-lft-identity_binary64_749` `+-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` `difference-of-squares_binary64_729` `swap-sqr_binary64_727` `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` `associate--l-_binary64_698` `associate--l+_binary64_697`

Counts

44 → 5

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	42	674
1	89	590
2	208	590
3	854	590
4	1766	590
5	3971	590
6	4933	590
7	5075	590

prune15.0ms (0.1%)

Pruning

26 alts after pruning (25 fresh and 1 done)

	Pruned	Kept	Total
New	4	1	5
Fresh	0	24	24
Picked	0	1	1
Done	0	0	0
Total	4	26	30

Error

27.7b

Counts

30 → 26

Compiler

Compiled 317 to 178 computations (43.8% saved)

regimes4.1s (21.8%)

Accuracy

Total 2.4b remaining (7.5%)

Threshold costs 0b (0%)

Compiler

Compiled 52772 to 43990 computations (16.6% saved)

bsearch0.0ms (0%)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative_binary64_691`
2×	`sub-neg_binary64_753` `+-commutative_binary64_690`
1×	`neg-mul-1_binary64_756` `neg-sub0_binary64_755`
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-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`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	67
1	27	67
2	32	67
3	34	67
4	35	67
5	35	67

end0.0ms (0%)

sample8.4s (45%)

Algorithm

1×

intervals

Results

790.0ms	5119×	body	128	valid
735.0ms	1445×	body	1024	valid
645.0ms	1257×	body	1024	invalid
280.0ms	765×	body	512	valid
271.0ms	74×	body	4096	valid
216.0ms	632×	body	512	invalid
173.0ms	185×	body	2048	valid
149.0ms	1272×	body	128	invalid
105.0ms	412×	body	256	valid
69.0ms	292×	body	256	invalid

Compiler

Compiled 5330 to 4444 computations (16.6% saved)

Details

analyze1.4s (7.2%)

sample120.0ms (0.6%)

simplify57.0ms (0.3%)

prune4.0ms (0%)

localize14.0ms (0.1%)

rewrite207.0ms (1.1%)

series882.0ms (4.7%)

simplify117.0ms (0.6%)

prune160.0ms (0.9%)

localize19.0ms (0.1%)

rewrite192.0ms (1%)

series904.0ms (4.8%)

simplify117.0ms (0.6%)

prune179.0ms (1%)

localize19.0ms (0.1%)

rewrite218.0ms (1.2%)

series916.0ms (4.9%)

simplify120.0ms (0.6%)

prune191.0ms (1%)

localize22.0ms (0.1%)

rewrite91.0ms (0.5%)

series202.0ms (1.1%)

simplify91.0ms (0.5%)

prune15.0ms (0.1%)

regimes4.1s (21.8%)

bsearch0.0ms (0%)

simplify5.0ms (0%)

end0.0ms (0%)

sample8.4s (45%)

Profiling