Details

analyze1.3s (5.6%)

Algorithm

1×

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
0%	99.8%	0.2%	8
0%	99.8%	0.2%	9
1.8%	98%	0.2%	10
7.7%	92.1%	0.2%	11
10.4%	89.4%	0.2%	12
12.2%	87.6%	0.2%	13
21.8%	77.8%	0.4%	14

Compiler

Compiled 14 to 12 computations (14.3% saved)

sample31.0ms (0.1%)

Algorithm

1×

intervals

Results

8.0ms	206×	body	128	valid
3.0ms	23×	body	1024	valid
2.0ms	15×	body	512	valid
1.0ms	34×	body	128	invalid
1.0ms	11×	body	256	valid
0.0ms	1×	body	2048	valid

Compiler

Compiled 27 to 28 computations (-3.7% saved)

simplify552.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

744×	`unsub-neg_binary64_12007`
452×	`exp-prod_binary64_12065`
448×	`swap-sqr_binary64_11980`
260×	`sub-neg_binary64_12006`
257×	`distribute-rgt-neg-out_binary64_11973`
237×	`distribute-neg-out_binary64_11975`
198×	`distribute-frac-neg_binary64_11976`
189×	`distribute-rgt-in_binary64_11963`
186×	`associate-r_binary64_11953`
175×	`associate-/l*_binary64_11958`
154×	`distribute-neg-in_binary64_11974`
151×	`associate-l_binary64_11954`
149×	`neg-sub0_binary64_12008`
140×	`distribute-lft-in_binary64_11962`
129×	`times-frac_binary64_12019`
126×	`neg-mul-1_binary64_12009`
120×	`div-sub_binary64_12018`
116×	`cancel-sign-sub-inv_binary64_11979`
115×	`distribute-neg-frac_binary64_11977`
106×	`distribute-rgt-out_binary64_11966`
90×	`associate-+l-_binary64_11948`
85×	`associate--r+_binary64_11949`
78×	`associate--l+_binary64_11950`
60×	`distribute-lft-neg-out_binary64_11972`
55×	`associate-+l+_binary64_11946`
54×	`+-commutative_binary64_11943`
48×	`remove-double-neg_binary64_12001`
47×	`distribute-lft-neg-in_binary64_11970`
46×	`associate-+r+_binary64_11945`
42×	`*-commutative_binary64_11944`
41×	`distribute-rgt-neg-in_binary64_11971`
39×	`associate-/r*_binary64_11957`
33×	`associate-+r-_binary64_11947`
26×	`associate-/l/_binary64_11960` `associate-*l/_binary64_11956`
22×	`+-rgt-identity_binary64_11998`
21×	`sqr-neg_binary64_12027` `sub0-neg_binary64_12000`
18×	`distribute-rgt1-in_binary64_11969` `distribute-lft-out_binary64_11964`
16×	`associate-*r/_binary64_11955`
14×	`mul0-rgt_binary64_11996` `div0_binary64_11994`
13×	`mul0-lft_binary64_11995`
12×	`+-lft-identity_binary64_11997`
11×	`associate-/r/_binary64_11959`
10×	`distribute-rgt-out--_binary64_11967`
8×	`associate--r-_binary64_11952` `associate--l-_binary64_11951`
7×	`mul-1-neg_binary64_12005`
4×	`*-inverses_binary64_11993` `distribute-lft1-in_binary64_11968`
1×	`exp-lft-sqr_binary64_12068` `exp-diff_binary64_12061` `exp-sum_binary64_12059` `1-exp_binary64_12057` `cube-unmult_binary64_12050` `--rgt-identity_binary64_11999` `difference-of-sqr--1_binary64_11984` `cancel-sign-sub_binary64_11978` `distribute-lft-out--_binary64_11965` `count-2_binary64_11961`
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_12276` `erf-erfc_binary64_12275` `erf-odd_binary64_12274` `if-if-and-not_binary64_12273` `if-if-and_binary64_12272` `if-if-or-not_binary64_12271` `if-if-or_binary64_12270` `if-not_binary64_12269` `if-same_binary64_12268` `if-false_binary64_12267` `if-true_binary64_12266` `not-gte_binary64_12265` `not-lte_binary64_12264` `not-gt_binary64_12263` `not-lt_binary64_12262` `gte-same_binary64_12261` `lte-same_binary64_12260` `gt-same_binary64_12259` `lt-same_binary64_12258` `sinh---cosh_binary64_12205` `sinh-+-cosh_binary64_12204` `sinh-cosh_binary64_12203` `tanh-def-c_binary64_12202` `tanh-def-b_binary64_12201` `tanh-def-a_binary64_12200` `cosh-def_binary64_12199` `sinh-def_binary64_12198` `tan-neg_binary64_12145` `cos-neg_binary64_12144` `sin-neg_binary64_12143` `tan-0_binary64_12142` `cos-0_binary64_12141` `sin-0_binary64_12140` `hang-m-tan_binary64_12139` `hang-p-tan_binary64_12138` `hang-m0-tan_binary64_12137` `hang-p0-tan_binary64_12136` `hang-0m-tan_binary64_12135` `hang-0p-tan_binary64_12134` `tan-+PI/2_binary64_12133` `tan-+PI_binary64_12132` `tan-PI_binary64_12131` `tan-PI/3_binary64_12130` `tan-PI/4_binary64_12129` `tan-PI/6_binary64_12128` `cos-+PI/2_binary64_12127` `cos-+PI_binary64_12126` `cos-PI_binary64_12125` `cos-PI/2_binary64_12124` `cos-PI/3_binary64_12123` `cos-PI/4_binary64_12122` `cos-PI/6_binary64_12121` `sin-+PI/2_binary64_12120` `sin-+PI_binary64_12119` `sin-PI_binary64_12118` `sin-PI/2_binary64_12117` `sin-PI/3_binary64_12116` `sin-PI/4_binary64_12115` `sin-PI/6_binary64_12114` `sub-1-sin_binary64_12113` `sub-1-cos_binary64_12112` `-1-add-sin_binary64_12111` `-1-add-cos_binary64_12110` `1-sub-sin_binary64_12109` `1-sub-cos_binary64_12108` `cos-sin-sum_binary64_12107` `log-E_binary64_12103` `log-pow_binary64_12102` `log-rec_binary64_12101` `log-div_binary64_12100` `log-prod_binary64_12099` `pow-base-0_binary64_12097` `unpow1/3_binary64_12080` `unpow3_binary64_12079` `unpow2_binary64_12078` `unpow1/2_binary64_12077` `pow-plus_binary64_12076` `exp-to-pow_binary64_12075` `pow-base-1_binary64_12073` `unpow0_binary64_12072` `unpow1_binary64_12071` `unpow-1_binary64_12070` `exp-lft-cube_binary64_12069` `exp-cbrt_binary64_12067` `exp-sqrt_binary64_12066` `div-exp_binary64_12064` `rec-exp_binary64_12063` `prod-exp_binary64_12062` `exp-neg_binary64_12060` `e-exp-1_binary64_12058` `exp-1-e_binary64_12056` `exp-0_binary64_12055` `rem-log-exp_binary64_12054` `rem-exp-log_binary64_12053` `cube-mult_binary64_12043` `cube-div_binary64_12042` `cube-prod_binary64_12041` `cube-neg_binary64_12040` `rem-3cbrt-rft_binary64_12039` `rem-3cbrt-lft_binary64_12038` `rem-cbrt-cube_binary64_12037` `rem-cube-cbrt_binary64_12036` `sqr-abs_binary64_12028` `rem-sqrt-square_binary64_12026` `rem-square-sqrt_binary64_12025` `/-rgt-identity_binary64_12004` `-rgt-identity_binary64_12003` `-lft-identity_binary64_12002` `+-inverses_binary64_11992` `lft-mult-inverse_binary64_11991` `rgt-mult-inverse_binary64_11990` `remove-double-div_binary64_11989` `pow-sqr_binary64_11986` `sqr-pow_binary64_11985` `difference-of-sqr-1_binary64_11983` `difference-of-squares_binary64_11982` `unswap-sqr_binary64_11981`

Counts

1 → 6

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	19
1	21	19
2	52	19
3	140	19
4	395	19
5	896	19
6	2813	19

prune13.0ms (0.1%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	2	4	6
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	3	4	7

Error

12.7b

Counts

7 → 4

Compiler

Compiled 130 to 71 computations (45.4% saved)

localize9.0ms (0%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (-.f64 a z) (-.f64 y z))
2.2b	(/.f64 (-.f64 t x) (/.f64 (-.f64 a z) (-.f64 y z)))
2.4b	(+.f64 x (/.f64 (-.f64 t x) (/.f64 (-.f64 a z) (-.f64 y z))))

rewrite426.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

12.4b

Rules

330×	`times-frac_binary64_12019`
323×	`*-un-lft-identity_binary64_12013`
321×	`add-sqr-sqrt_binary64_12035`
113×	`add-cube-cbrt_binary64_12048`
104×	`difference-of-squares_binary64_11982` `distribute-lft-out--_binary64_11965`
36×	`associate-/r*_binary64_11957`
15×	`associate-/r/_binary64_11959`
10×	`add-exp-log_binary64_12051` `add-cbrt-cube_binary64_12049` `associate-/l*_binary64_11958`
9×	`flip3--_binary64_12017` `flip--_binary64_11988`
8×	`div-inv_binary64_12010`
5×	`add-log-exp_binary64_12052`
4×	`div-exp_binary64_12064` `cbrt-undiv_binary64_12047` `associate-/l/_binary64_11960`
3×	`pow1_binary64_12074` `div-sub_binary64_12018`
2×	`frac-2neg_binary64_12024` `clear-num_binary64_12012`
1×	`sum-log_binary64_12104` `flip3-+_binary64_12016` `flip-+_binary64_11987` `distribute-lft-out_binary64_11964` `associate-+r-_binary64_11947` `+-commutative_binary64_11943`

Counts

3 → 274

Calls

3 calls:

48.0ms	(+.f64 x (/.f64 (-.f64 t x) (/.f64 (-.f64 a z) (-.f64 y z))))
17.0ms	(/.f64 (-.f64 t x) (/.f64 (-.f64 a z) (-.f64 y z)))
8.0ms	(/.f64 (-.f64 a z) (-.f64 y z))

Compiler

Compiled 7392 to 1404 computations (81% saved)

series2.5s (11%)

Error

2.1b

Counts

3 → 93

Calls

3 calls:

1.3s	(+.f64 x (/.f64 (-.f64 t x) (/.f64 (-.f64 a z) (-.f64 y z))))
818.0ms	(/.f64 (-.f64 t x) (/.f64 (-.f64 a z) (-.f64 y z)))
247.0ms	(/.f64 (-.f64 a z) (-.f64 y z))

Compiler

Compiled 7559 to 4017 computations (46.9% saved)

simplify941.0ms (4.1%)

Algorithm

1×	egg-herbie

Rules

449×	`associate-/r/_binary64_11959`
312×	`associate-/l*_binary64_11958`
253×	`associate-/l/_binary64_11960`
218×	`sub-neg_binary64_12006`
198×	`associate-*l/_binary64_11956`
183×	`times-frac_binary64_12019`
175×	`div-sub_binary64_12018`
169×	`distribute-rgt-in_binary64_11963`
164×	`distribute-lft-in_binary64_11962`
109×	`associate-/r*_binary64_11957`
104×	`associate-r/_binary64_11955` `associate-r*_binary64_11953` `+-commutative_binary64_11943`
82×	`associate-l_binary64_11954`
71×	`associate-+r+_binary64_11945`
52×	`*-commutative_binary64_11944`
49×	`neg-sub0_binary64_12008` `distribute-neg-in_binary64_11974`
41×	`neg-mul-1_binary64_12009`
37×	`associate--l+_binary64_11950`
31×	`associate--r+_binary64_11949`
25×	`distribute-neg-frac_binary64_11977`
22×	`sqr-pow_binary64_11985`
17×	`distribute-rgt-neg-in_binary64_11971`
15×	`/-rgt-identity_binary64_12004`
14×	`cancel-sign-sub-inv_binary64_11979`
13×	`mul-1-neg_binary64_12005`
11×	`distribute-lft-neg-in_binary64_11970`
10×	`pow-sqr_binary64_11986`
7×	`unpow3_binary64_12079`
6×	`difference-of-squares_binary64_11982`
5×	`cube-mult_binary64_12043`
4×	`log-div_binary64_12100` `cube-unmult_binary64_12050`
3×	`unpow2_binary64_12078` `pow-plus_binary64_12076` `cube-div_binary64_12042` `remove-double-div_binary64_11989` `unswap-sqr_binary64_11981` `distribute-lft-neg-out_binary64_11972` `distribute-rgt-out_binary64_11966`
2×	`log-prod_binary64_12099` `prod-exp_binary64_12062` `exp-diff_binary64_12061` `cube-prod_binary64_12041` `*-inverses_binary64_11993` `swap-sqr_binary64_11980` `distribute-rgt-out--_binary64_11967`
1×	`exp-prod_binary64_12065` `div-exp_binary64_12064` `rec-exp_binary64_12063` `exp-sum_binary64_12059` `1-exp_binary64_12057` `associate--r-_binary64_11952` `associate-+r-_binary64_11947`
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_12276` `erf-erfc_binary64_12275` `erf-odd_binary64_12274` `if-if-and-not_binary64_12273` `if-if-and_binary64_12272` `if-if-or-not_binary64_12271` `if-if-or_binary64_12270` `if-not_binary64_12269` `if-same_binary64_12268` `if-false_binary64_12267` `if-true_binary64_12266` `not-gte_binary64_12265` `not-lte_binary64_12264` `not-gt_binary64_12263` `not-lt_binary64_12262` `gte-same_binary64_12261` `lte-same_binary64_12260` `gt-same_binary64_12259` `lt-same_binary64_12258` `sinh---cosh_binary64_12205` `sinh-+-cosh_binary64_12204` `sinh-cosh_binary64_12203` `tanh-def-c_binary64_12202` `tanh-def-b_binary64_12201` `tanh-def-a_binary64_12200` `cosh-def_binary64_12199` `sinh-def_binary64_12198` `tan-neg_binary64_12145` `cos-neg_binary64_12144` `sin-neg_binary64_12143` `tan-0_binary64_12142` `cos-0_binary64_12141` `sin-0_binary64_12140` `hang-m-tan_binary64_12139` `hang-p-tan_binary64_12138` `hang-m0-tan_binary64_12137` `hang-p0-tan_binary64_12136` `hang-0m-tan_binary64_12135` `hang-0p-tan_binary64_12134` `tan-+PI/2_binary64_12133` `tan-+PI_binary64_12132` `tan-PI_binary64_12131` `tan-PI/3_binary64_12130` `tan-PI/4_binary64_12129` `tan-PI/6_binary64_12128` `cos-+PI/2_binary64_12127` `cos-+PI_binary64_12126` `cos-PI_binary64_12125` `cos-PI/2_binary64_12124` `cos-PI/3_binary64_12123` `cos-PI/4_binary64_12122` `cos-PI/6_binary64_12121` `sin-+PI/2_binary64_12120` `sin-+PI_binary64_12119` `sin-PI_binary64_12118` `sin-PI/2_binary64_12117` `sin-PI/3_binary64_12116` `sin-PI/4_binary64_12115` `sin-PI/6_binary64_12114` `sub-1-sin_binary64_12113` `sub-1-cos_binary64_12112` `-1-add-sin_binary64_12111` `-1-add-cos_binary64_12110` `1-sub-sin_binary64_12109` `1-sub-cos_binary64_12108` `cos-sin-sum_binary64_12107` `log-E_binary64_12103` `log-pow_binary64_12102` `log-rec_binary64_12101` `pow-base-0_binary64_12097` `unpow1/3_binary64_12080` `unpow1/2_binary64_12077` `exp-to-pow_binary64_12075` `pow-base-1_binary64_12073` `unpow0_binary64_12072` `unpow1_binary64_12071` `unpow-1_binary64_12070` `exp-lft-cube_binary64_12069` `exp-lft-sqr_binary64_12068` `exp-cbrt_binary64_12067` `exp-sqrt_binary64_12066` `exp-neg_binary64_12060` `e-exp-1_binary64_12058` `exp-1-e_binary64_12056` `exp-0_binary64_12055` `rem-log-exp_binary64_12054` `rem-exp-log_binary64_12053` `cube-neg_binary64_12040` `rem-3cbrt-rft_binary64_12039` `rem-3cbrt-lft_binary64_12038` `rem-cbrt-cube_binary64_12037` `rem-cube-cbrt_binary64_12036` `sqr-abs_binary64_12028` `sqr-neg_binary64_12027` `rem-sqrt-square_binary64_12026` `rem-square-sqrt_binary64_12025` `unsub-neg_binary64_12007` `-rgt-identity_binary64_12003` `-lft-identity_binary64_12002` `remove-double-neg_binary64_12001` `sub0-neg_binary64_12000` `--rgt-identity_binary64_11999` `+-rgt-identity_binary64_11998` `+-lft-identity_binary64_11997` `mul0-rgt_binary64_11996` `mul0-lft_binary64_11995` `div0_binary64_11994` `+-inverses_binary64_11992` `lft-mult-inverse_binary64_11991` `rgt-mult-inverse_binary64_11990` `difference-of-sqr--1_binary64_11984` `difference-of-sqr-1_binary64_11983` `cancel-sign-sub_binary64_11978` `distribute-frac-neg_binary64_11976` `distribute-neg-out_binary64_11975` `distribute-rgt-neg-out_binary64_11973` `distribute-rgt1-in_binary64_11969` `distribute-lft1-in_binary64_11968` `distribute-lft-out--_binary64_11965` `distribute-lft-out_binary64_11964` `count-2_binary64_11961` `associate--l-_binary64_11951` `associate-+l-_binary64_11948` `associate-+l+_binary64_11946`

Counts

367 → 792

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	599	12770
1	1717	12629

prune885.0ms (3.9%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	788	4	792
Fresh	1	2	3
Picked	0	1	1
Done	0	0	0
Total	789	7	796

Error

0.3b

Counts

796 → 7

Compiler

Compiled 24345 to 3361 computations (86.2% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

2.8b	(+.f64 x (*.f64 (/.f64 z (-.f64 a z)) x))
5.8b	(*.f64 (/.f64 y (-.f64 a z)) x)
6.0b	(*.f64 (/.f64 t (-.f64 a z)) y)
9.7b	(*.f64 (/.f64 t (-.f64 a z)) z)

rewrite215.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

0.3b

Rules

67×	`add-sqr-sqrt_binary64_12035`
63×	`associate-l_binary64_11954`
53×	`*-un-lft-identity_binary64_12013`
48×	`times-frac_binary64_12019`
34×	`add-cube-cbrt_binary64_12048`
19×	`add-exp-log_binary64_12051` `add-cbrt-cube_binary64_12049`
10×	`pow1_binary64_12074`
9×	`difference-of-squares_binary64_11982` `distribute-lft-out--_binary64_11965` `associate-r_binary64_11953`
6×	`prod-exp_binary64_12062` `add-log-exp_binary64_12052` `cbrt-unprod_binary64_12046` `unswap-sqr_binary64_11981` `associate-/r/_binary64_11959`
3×	`pow-prod-down_binary64_12084` `div-exp_binary64_12064` `cbrt-undiv_binary64_12047` `associate-l/_binary64_11956` `div-inv_binary64_12010` `flip3--_binary64_12017` `flip--_binary64_11988` `-commutative_binary64_11944`
1×	`sum-log_binary64_12104` `flip3-+_binary64_12016` `flip-+_binary64_11987` `distribute-rgt1-in_binary64_11969` `distribute-rgt-out_binary64_11966` `+-commutative_binary64_11943`

Counts

4 → 133

Calls

4 calls:

10.0ms	(*.f64 (/.f64 t (-.f64 a z)) z)
10.0ms	(*.f64 (/.f64 y (-.f64 a z)) x)
9.0ms	(*.f64 (/.f64 t (-.f64 a z)) y)
3.0ms	(+.f64 x (*.f64 (/.f64 z (-.f64 a z)) x))

Compiler

Compiled 5527 to 769 computations (86.1% saved)

series1.0s (4.5%)

Error

0.3b

Counts

4 → 72

Calls

4 calls:

267.0ms	(*.f64 (/.f64 t (-.f64 a z)) y)
230.0ms	(*.f64 (/.f64 y (-.f64 a z)) x)
220.0ms	(*.f64 (/.f64 t (-.f64 a z)) z)
219.0ms	(+.f64 x (*.f64 (/.f64 z (-.f64 a z)) x))

Compiler

Compiled 6795 to 2816 computations (58.6% saved)

simplify308.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

782×	`associate-/l*_binary64_11958`
687×	`associate-*r/_binary64_11955`
574×	`times-frac_binary64_12019`
290×	`associate-/r*_binary64_11957`
178×	`associate-l_binary64_11954`
157×	`associate-r_binary64_11953`
143×	`associate-*l/_binary64_11956`
142×	`associate-/r/_binary64_11959`
140×	`*-commutative_binary64_11944`
127×	`distribute-rgt-in_binary64_11963`
105×	`distribute-lft-in_binary64_11962`
61×	`cancel-sign-sub-inv_binary64_11979`
59×	`distribute-rgt-neg-in_binary64_11971`
54×	`sqr-pow_binary64_11985`
48×	`distribute-rgt-out_binary64_11966`
46×	`distribute-lft-neg-in_binary64_11970`
39×	`sub-neg_binary64_12006`
36×	`log-prod_binary64_12099`
35×	`exp-prod_binary64_12065` `neg-sub0_binary64_12008` `+-commutative_binary64_11943`
34×	`associate-/l/_binary64_11960`
33×	`cube-prod_binary64_12041` `distribute-neg-frac_binary64_11977`
29×	`neg-mul-1_binary64_12009` `distribute-lft-out_binary64_11964`
27×	`swap-sqr_binary64_11980`
24×	`div-sub_binary64_12018`
19×	`log-div_binary64_12100`
18×	`*-lft-identity_binary64_12002`
17×	`cube-div_binary64_12042` `pow-sqr_binary64_11986` `unswap-sqr_binary64_11981`
16×	`*-rgt-identity_binary64_12003` `associate-+l+_binary64_11946`
15×	`associate-+r+_binary64_11945`
11×	`distribute-rgt-out--_binary64_11967`
10×	`cube-unmult_binary64_12050` `distribute-lft-neg-out_binary64_11972`
9×	`distribute-neg-in_binary64_11974`
8×	`mul-1-neg_binary64_12005`
6×	`unpow3_binary64_12079` `pow-plus_binary64_12076` `cube-mult_binary64_12043` `unsub-neg_binary64_12007`
5×	`distribute-rgt1-in_binary64_11969`
4×	`exp-sum_binary64_12059` `distribute-lft-out--_binary64_11965` `associate-+l-_binary64_11948` `associate-+r-_binary64_11947`
3×	`distribute-rgt-neg-out_binary64_11973` `associate--r+_binary64_11949`
2×	`unpow2_binary64_12078` `unpow1_binary64_12071` `prod-exp_binary64_12062` `*-inverses_binary64_11993`
1×	`log-rec_binary64_12101` `exp-sqrt_binary64_12066` `1-exp_binary64_12057` `exp-1-e_binary64_12056` `rem-log-exp_binary64_12054` `/-rgt-identity_binary64_12004` `difference-of-squares_binary64_11982`
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_12276` `erf-erfc_binary64_12275` `erf-odd_binary64_12274` `if-if-and-not_binary64_12273` `if-if-and_binary64_12272` `if-if-or-not_binary64_12271` `if-if-or_binary64_12270` `if-not_binary64_12269` `if-same_binary64_12268` `if-false_binary64_12267` `if-true_binary64_12266` `not-gte_binary64_12265` `not-lte_binary64_12264` `not-gt_binary64_12263` `not-lt_binary64_12262` `gte-same_binary64_12261` `lte-same_binary64_12260` `gt-same_binary64_12259` `lt-same_binary64_12258` `sinh---cosh_binary64_12205` `sinh-+-cosh_binary64_12204` `sinh-cosh_binary64_12203` `tanh-def-c_binary64_12202` `tanh-def-b_binary64_12201` `tanh-def-a_binary64_12200` `cosh-def_binary64_12199` `sinh-def_binary64_12198` `tan-neg_binary64_12145` `cos-neg_binary64_12144` `sin-neg_binary64_12143` `tan-0_binary64_12142` `cos-0_binary64_12141` `sin-0_binary64_12140` `hang-m-tan_binary64_12139` `hang-p-tan_binary64_12138` `hang-m0-tan_binary64_12137` `hang-p0-tan_binary64_12136` `hang-0m-tan_binary64_12135` `hang-0p-tan_binary64_12134` `tan-+PI/2_binary64_12133` `tan-+PI_binary64_12132` `tan-PI_binary64_12131` `tan-PI/3_binary64_12130` `tan-PI/4_binary64_12129` `tan-PI/6_binary64_12128` `cos-+PI/2_binary64_12127` `cos-+PI_binary64_12126` `cos-PI_binary64_12125` `cos-PI/2_binary64_12124` `cos-PI/3_binary64_12123` `cos-PI/4_binary64_12122` `cos-PI/6_binary64_12121` `sin-+PI/2_binary64_12120` `sin-+PI_binary64_12119` `sin-PI_binary64_12118` `sin-PI/2_binary64_12117` `sin-PI/3_binary64_12116` `sin-PI/4_binary64_12115` `sin-PI/6_binary64_12114` `sub-1-sin_binary64_12113` `sub-1-cos_binary64_12112` `-1-add-sin_binary64_12111` `-1-add-cos_binary64_12110` `1-sub-sin_binary64_12109` `1-sub-cos_binary64_12108` `cos-sin-sum_binary64_12107` `log-E_binary64_12103` `log-pow_binary64_12102` `pow-base-0_binary64_12097` `unpow1/3_binary64_12080` `unpow1/2_binary64_12077` `exp-to-pow_binary64_12075` `pow-base-1_binary64_12073` `unpow0_binary64_12072` `unpow-1_binary64_12070` `exp-lft-cube_binary64_12069` `exp-lft-sqr_binary64_12068` `exp-cbrt_binary64_12067` `div-exp_binary64_12064` `rec-exp_binary64_12063` `exp-diff_binary64_12061` `exp-neg_binary64_12060` `e-exp-1_binary64_12058` `exp-0_binary64_12055` `rem-exp-log_binary64_12053` `cube-neg_binary64_12040` `rem-3cbrt-rft_binary64_12039` `rem-3cbrt-lft_binary64_12038` `rem-cbrt-cube_binary64_12037` `rem-cube-cbrt_binary64_12036` `sqr-abs_binary64_12028` `sqr-neg_binary64_12027` `rem-sqrt-square_binary64_12026` `rem-square-sqrt_binary64_12025` `remove-double-neg_binary64_12001` `sub0-neg_binary64_12000` `--rgt-identity_binary64_11999` `+-rgt-identity_binary64_11998` `+-lft-identity_binary64_11997` `mul0-rgt_binary64_11996` `mul0-lft_binary64_11995` `div0_binary64_11994` `+-inverses_binary64_11992` `lft-mult-inverse_binary64_11991` `rgt-mult-inverse_binary64_11990` `remove-double-div_binary64_11989` `difference-of-sqr--1_binary64_11984` `difference-of-sqr-1_binary64_11983` `cancel-sign-sub_binary64_11978` `distribute-frac-neg_binary64_11976` `distribute-neg-out_binary64_11975` `distribute-lft1-in_binary64_11968` `count-2_binary64_11961` `associate--r-_binary64_11952` `associate--l-_binary64_11951` `associate--l+_binary64_11950`

Counts

205 → 473

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	267	3087
1	679	2856
2	2017	2694

prune564.0ms (2.5%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	472	1	473
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	473	7	480

Error

0.2b

Counts

480 → 7

Compiler

Compiled 19565 to 1982 computations (89.9% saved)

localize10.0ms (0%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (-.f64 y z) (-.f64 a z))
2.4b	(+.f64 x (*.f64 (/.f64 (-.f64 y z) (-.f64 a z)) (-.f64 t x)))
2.7b	(*.f64 (/.f64 (-.f64 y z) (-.f64 a z)) (-.f64 t x))

rewrite173.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

Rules

82×	`add-sqr-sqrt_binary64_12035`
77×	`*-un-lft-identity_binary64_12013`
51×	`times-frac_binary64_12019`
31×	`add-cube-cbrt_binary64_12048` `associate-l_binary64_11954`
23×	`difference-of-squares_binary64_11982` `distribute-lft-out--_binary64_11965`
12×	`cancel-sign-sub-inv_binary64_11979`
10×	`add-exp-log_binary64_12051` `add-cbrt-cube_binary64_12049`
8×	`distribute-rgt-in_binary64_11963` `distribute-lft-in_binary64_11962` `associate-+r+_binary64_11945`
5×	`pow1_binary64_12074` `add-log-exp_binary64_12052` `flip3--_binary64_12017` `flip--_binary64_11988` `associate-r_binary64_11953` `associate-/l_binary64_11958` `associate-/r_binary64_11957`
4×	`sub-neg_binary64_12006` `associate-/r/_binary64_11959`
2×	`div-exp_binary64_12064` `prod-exp_binary64_12062` `cbrt-unprod_binary64_12046` `cbrt-undiv_binary64_12047` `frac-times_binary64_12023` `unswap-sqr_binary64_11981` `associate-*r/_binary64_11955` `div-inv_binary64_12010` `associate-/l/_binary64_11960`
1×	`pow-prod-down_binary64_12084` `associate-l/_binary64_11956` `-commutative_binary64_11944` `sum-log_binary64_12104` `flip3-+_binary64_12016` `flip-+_binary64_11987` `+-commutative_binary64_11943` `frac-2neg_binary64_12024` `div-sub_binary64_12018` `clear-num_binary64_12012`

Counts

3 → 135

Calls

3 calls:

21.0ms	(*.f64 (/.f64 (-.f64 y z) (-.f64 a z)) (-.f64 t x))
8.0ms	(/.f64 (-.f64 y z) (-.f64 a z))
4.0ms	(+.f64 x (*.f64 (/.f64 (-.f64 y z) (-.f64 a z)) (-.f64 t x)))

Compiler

Compiled 3183 to 625 computations (80.4% saved)

series2.4s (10.7%)

Error

0.0b

Counts

3 → 98

Calls

3 calls:

1.2s	(+.f64 x (*.f64 (/.f64 (-.f64 y z) (-.f64 a z)) (-.f64 t x)))
799.0ms	(*.f64 (/.f64 (-.f64 y z) (-.f64 a z)) (-.f64 t x))
269.0ms	(/.f64 (-.f64 y z) (-.f64 a z))

Compiler

Compiled 7970 to 4272 computations (46.4% saved)

simplify976.0ms (4.3%)

Algorithm

1×	egg-herbie

Rules

310×	`associate-+r+_binary64_11945`
251×	`+-commutative_binary64_11943`
248×	`associate-+l+_binary64_11946`
237×	`associate--l+_binary64_11950`
217×	`associate--r+_binary64_11949`
171×	`sub-neg_binary64_12006` `associate-/l*_binary64_11958`
145×	`times-frac_binary64_12019`
144×	`*-commutative_binary64_11944`
135×	`associate-l_binary64_11954`
134×	`div-sub_binary64_12018`
132×	`distribute-rgt-in_binary64_11963`
130×	`associate-r_binary64_11953`
125×	`distribute-lft-in_binary64_11962`
89×	`associate-*l/_binary64_11956`
74×	`associate-/r*_binary64_11957`
58×	`associate-/r/_binary64_11959`
56×	`neg-sub0_binary64_12008` `distribute-neg-in_binary64_11974`
53×	`associate-*r/_binary64_11955`
48×	`neg-mul-1_binary64_12009`
40×	`associate-/l/_binary64_11960`
29×	`distribute-rgt-neg-in_binary64_11971`
21×	`sqr-pow_binary64_11985` `cancel-sign-sub-inv_binary64_11979` `distribute-neg-frac_binary64_11977`
18×	`distribute-lft-neg-in_binary64_11970`
16×	`exp-prod_binary64_12065` `cube-prod_binary64_12041`
14×	`log-div_binary64_12100` `cube-div_binary64_12042`
13×	`mul-1-neg_binary64_12005` `distribute-lft-neg-out_binary64_11972`
12×	`log-prod_binary64_12099`
11×	`exp-sum_binary64_12059`
10×	`prod-exp_binary64_12062`
9×	`unpow3_binary64_12079` `div-exp_binary64_12064` `pow-sqr_binary64_11986`
8×	`difference-of-squares_binary64_11982`
7×	`/-rgt-identity_binary64_12004` `distribute-rgt-neg-out_binary64_11973`
6×	`pow-plus_binary64_12076` `cube-unmult_binary64_12050` `cube-mult_binary64_12043`
4×	`exp-diff_binary64_12061` `swap-sqr_binary64_11980`
3×	`rec-exp_binary64_12063` `*-rgt-identity_binary64_12003` `distribute-rgt-out_binary64_11966` `associate-+r-_binary64_11947`
2×	`unpow2_binary64_12078` `unpow1_binary64_12071` `-lft-identity_binary64_12002` `-inverses_binary64_11993` `distribute-rgt-out--_binary64_11967` `associate--r-_binary64_11952` `associate-+l-_binary64_11948`
1×	`log-rec_binary64_12101` `exp-sqrt_binary64_12066` `1-exp_binary64_12057` `exp-1-e_binary64_12056` `rem-log-exp_binary64_12054` `rem-3cbrt-lft_binary64_12038` `rem-sqrt-square_binary64_12026` `rem-square-sqrt_binary64_12025`
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_12276` `erf-erfc_binary64_12275` `erf-odd_binary64_12274` `if-if-and-not_binary64_12273` `if-if-and_binary64_12272` `if-if-or-not_binary64_12271` `if-if-or_binary64_12270` `if-not_binary64_12269` `if-same_binary64_12268` `if-false_binary64_12267` `if-true_binary64_12266` `not-gte_binary64_12265` `not-lte_binary64_12264` `not-gt_binary64_12263` `not-lt_binary64_12262` `gte-same_binary64_12261` `lte-same_binary64_12260` `gt-same_binary64_12259` `lt-same_binary64_12258` `sinh---cosh_binary64_12205` `sinh-+-cosh_binary64_12204` `sinh-cosh_binary64_12203` `tanh-def-c_binary64_12202` `tanh-def-b_binary64_12201` `tanh-def-a_binary64_12200` `cosh-def_binary64_12199` `sinh-def_binary64_12198` `tan-neg_binary64_12145` `cos-neg_binary64_12144` `sin-neg_binary64_12143` `tan-0_binary64_12142` `cos-0_binary64_12141` `sin-0_binary64_12140` `hang-m-tan_binary64_12139` `hang-p-tan_binary64_12138` `hang-m0-tan_binary64_12137` `hang-p0-tan_binary64_12136` `hang-0m-tan_binary64_12135` `hang-0p-tan_binary64_12134` `tan-+PI/2_binary64_12133` `tan-+PI_binary64_12132` `tan-PI_binary64_12131` `tan-PI/3_binary64_12130` `tan-PI/4_binary64_12129` `tan-PI/6_binary64_12128` `cos-+PI/2_binary64_12127` `cos-+PI_binary64_12126` `cos-PI_binary64_12125` `cos-PI/2_binary64_12124` `cos-PI/3_binary64_12123` `cos-PI/4_binary64_12122` `cos-PI/6_binary64_12121` `sin-+PI/2_binary64_12120` `sin-+PI_binary64_12119` `sin-PI_binary64_12118` `sin-PI/2_binary64_12117` `sin-PI/3_binary64_12116` `sin-PI/4_binary64_12115` `sin-PI/6_binary64_12114` `sub-1-sin_binary64_12113` `sub-1-cos_binary64_12112` `-1-add-sin_binary64_12111` `-1-add-cos_binary64_12110` `1-sub-sin_binary64_12109` `1-sub-cos_binary64_12108` `cos-sin-sum_binary64_12107` `log-E_binary64_12103` `log-pow_binary64_12102` `pow-base-0_binary64_12097` `unpow1/3_binary64_12080` `unpow1/2_binary64_12077` `exp-to-pow_binary64_12075` `pow-base-1_binary64_12073` `unpow0_binary64_12072` `unpow-1_binary64_12070` `exp-lft-cube_binary64_12069` `exp-lft-sqr_binary64_12068` `exp-cbrt_binary64_12067` `exp-neg_binary64_12060` `e-exp-1_binary64_12058` `exp-0_binary64_12055` `rem-exp-log_binary64_12053` `cube-neg_binary64_12040` `rem-3cbrt-rft_binary64_12039` `rem-cbrt-cube_binary64_12037` `rem-cube-cbrt_binary64_12036` `sqr-abs_binary64_12028` `sqr-neg_binary64_12027` `unsub-neg_binary64_12007` `remove-double-neg_binary64_12001` `sub0-neg_binary64_12000` `--rgt-identity_binary64_11999` `+-rgt-identity_binary64_11998` `+-lft-identity_binary64_11997` `mul0-rgt_binary64_11996` `mul0-lft_binary64_11995` `div0_binary64_11994` `+-inverses_binary64_11992` `lft-mult-inverse_binary64_11991` `rgt-mult-inverse_binary64_11990` `remove-double-div_binary64_11989` `difference-of-sqr--1_binary64_11984` `difference-of-sqr-1_binary64_11983` `unswap-sqr_binary64_11981` `cancel-sign-sub_binary64_11978` `distribute-frac-neg_binary64_11976` `distribute-neg-out_binary64_11975` `distribute-rgt1-in_binary64_11969` `distribute-lft1-in_binary64_11968` `distribute-lft-out--_binary64_11965` `distribute-lft-out_binary64_11964` `count-2_binary64_11961` `associate--l-_binary64_11951`

Counts

233 → 340

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	462	7442
1	1313	7181
2	4908	7118

prune421.0ms (1.9%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	340	0	340
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	340	7	347

Error

0.2b

Counts

347 → 7

Compiler

Compiled 11889 to 2224 computations (81.3% saved)

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (-.f64 a z) (-.f64 t x))
4.1b	(+.f64 x (/.f64 (-.f64 y z) (/.f64 (-.f64 a z) (-.f64 t x))))
4.2b	(/.f64 (-.f64 y z) (/.f64 (-.f64 a z) (-.f64 t x)))

rewrite397.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

Rules

330×	`times-frac_binary64_12019`
323×	`*-un-lft-identity_binary64_12013`
321×	`add-sqr-sqrt_binary64_12035`
113×	`add-cube-cbrt_binary64_12048`
104×	`difference-of-squares_binary64_11982` `distribute-lft-out--_binary64_11965`
36×	`associate-/r*_binary64_11957`
15×	`associate-/r/_binary64_11959`
10×	`add-exp-log_binary64_12051` `add-cbrt-cube_binary64_12049` `associate-/l*_binary64_11958`
9×	`flip3--_binary64_12017` `flip--_binary64_11988`
8×	`div-inv_binary64_12010`
5×	`add-log-exp_binary64_12052`
4×	`div-exp_binary64_12064` `cbrt-undiv_binary64_12047` `associate-/l/_binary64_11960`
3×	`pow1_binary64_12074` `div-sub_binary64_12018`
2×	`frac-2neg_binary64_12024` `clear-num_binary64_12012`
1×	`sum-log_binary64_12104` `flip3-+_binary64_12016` `flip-+_binary64_11987` `distribute-lft-out_binary64_11964` `associate-+r-_binary64_11947` `+-commutative_binary64_11943`

Counts

3 → 274

Calls

3 calls:

51.0ms	(+.f64 x (/.f64 (-.f64 y z) (/.f64 (-.f64 a z) (-.f64 t x))))
18.0ms	(/.f64 (-.f64 y z) (/.f64 (-.f64 a z) (-.f64 t x)))
8.0ms	(/.f64 (-.f64 a z) (-.f64 t x))

Compiler

Compiled 7392 to 1404 computations (81% saved)

series2.5s (11%)

Error

0.0b

Counts

3 → 96

Calls

3 calls:

1.2s	(+.f64 x (/.f64 (-.f64 y z) (/.f64 (-.f64 a z) (-.f64 t x))))
793.0ms	(/.f64 (-.f64 y z) (/.f64 (-.f64 a z) (-.f64 t x)))
340.0ms	(/.f64 (-.f64 a z) (-.f64 t x))

Compiler

Compiled 7700 to 4038 computations (47.6% saved)

simplify942.0ms (4.2%)

Algorithm

1×	egg-herbie

Rules

454×	`associate-/r/_binary64_11959`
307×	`associate-/l*_binary64_11958`
249×	`associate-/l/_binary64_11960`
207×	`sub-neg_binary64_12006`
195×	`associate-*l/_binary64_11956`
174×	`div-sub_binary64_12018`
168×	`times-frac_binary64_12019`
167×	`distribute-rgt-in_binary64_11963`
163×	`distribute-lft-in_binary64_11962`
107×	`associate-/r*_binary64_11957`
102×	`associate-r/_binary64_11955` `associate-r*_binary64_11953`
101×	`+-commutative_binary64_11943`
81×	`associate-l_binary64_11954`
69×	`associate-+r+_binary64_11945`
50×	`*-commutative_binary64_11944`
49×	`distribute-neg-in_binary64_11974`
47×	`neg-sub0_binary64_12008`
39×	`neg-mul-1_binary64_12009`
33×	`associate--l+_binary64_11950`
29×	`associate--r+_binary64_11949`
24×	`sqr-pow_binary64_11985`
23×	`distribute-neg-frac_binary64_11977`
16×	`distribute-rgt-neg-in_binary64_11971`
14×	`/-rgt-identity_binary64_12004` `cancel-sign-sub-inv_binary64_11979`
13×	`mul-1-neg_binary64_12005`
11×	`pow-sqr_binary64_11986`
10×	`distribute-lft-neg-in_binary64_11970`
7×	`unpow3_binary64_12079` `difference-of-squares_binary64_11982`
6×	`associate--r-_binary64_11952`
5×	`cube-mult_binary64_12043`
4×	`log-div_binary64_12100` `unpow2_binary64_12078` `pow-plus_binary64_12076` `cube-unmult_binary64_12050`
3×	`cube-div_binary64_12042` `remove-double-div_binary64_11989` `unswap-sqr_binary64_11981` `distribute-lft-neg-out_binary64_11972` `distribute-rgt-out_binary64_11966`
2×	`log-prod_binary64_12099` `prod-exp_binary64_12062` `exp-diff_binary64_12061` `cube-prod_binary64_12041` `swap-sqr_binary64_11980` `distribute-rgt-out--_binary64_11967`
1×	`exp-prod_binary64_12065` `div-exp_binary64_12064` `rec-exp_binary64_12063` `exp-sum_binary64_12059` `1-exp_binary64_12057` `*-inverses_binary64_11993` `associate-+r-_binary64_11947`
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_12276` `erf-erfc_binary64_12275` `erf-odd_binary64_12274` `if-if-and-not_binary64_12273` `if-if-and_binary64_12272` `if-if-or-not_binary64_12271` `if-if-or_binary64_12270` `if-not_binary64_12269` `if-same_binary64_12268` `if-false_binary64_12267` `if-true_binary64_12266` `not-gte_binary64_12265` `not-lte_binary64_12264` `not-gt_binary64_12263` `not-lt_binary64_12262` `gte-same_binary64_12261` `lte-same_binary64_12260` `gt-same_binary64_12259` `lt-same_binary64_12258` `sinh---cosh_binary64_12205` `sinh-+-cosh_binary64_12204` `sinh-cosh_binary64_12203` `tanh-def-c_binary64_12202` `tanh-def-b_binary64_12201` `tanh-def-a_binary64_12200` `cosh-def_binary64_12199` `sinh-def_binary64_12198` `tan-neg_binary64_12145` `cos-neg_binary64_12144` `sin-neg_binary64_12143` `tan-0_binary64_12142` `cos-0_binary64_12141` `sin-0_binary64_12140` `hang-m-tan_binary64_12139` `hang-p-tan_binary64_12138` `hang-m0-tan_binary64_12137` `hang-p0-tan_binary64_12136` `hang-0m-tan_binary64_12135` `hang-0p-tan_binary64_12134` `tan-+PI/2_binary64_12133` `tan-+PI_binary64_12132` `tan-PI_binary64_12131` `tan-PI/3_binary64_12130` `tan-PI/4_binary64_12129` `tan-PI/6_binary64_12128` `cos-+PI/2_binary64_12127` `cos-+PI_binary64_12126` `cos-PI_binary64_12125` `cos-PI/2_binary64_12124` `cos-PI/3_binary64_12123` `cos-PI/4_binary64_12122` `cos-PI/6_binary64_12121` `sin-+PI/2_binary64_12120` `sin-+PI_binary64_12119` `sin-PI_binary64_12118` `sin-PI/2_binary64_12117` `sin-PI/3_binary64_12116` `sin-PI/4_binary64_12115` `sin-PI/6_binary64_12114` `sub-1-sin_binary64_12113` `sub-1-cos_binary64_12112` `-1-add-sin_binary64_12111` `-1-add-cos_binary64_12110` `1-sub-sin_binary64_12109` `1-sub-cos_binary64_12108` `cos-sin-sum_binary64_12107` `log-E_binary64_12103` `log-pow_binary64_12102` `log-rec_binary64_12101` `pow-base-0_binary64_12097` `unpow1/3_binary64_12080` `unpow1/2_binary64_12077` `exp-to-pow_binary64_12075` `pow-base-1_binary64_12073` `unpow0_binary64_12072` `unpow1_binary64_12071` `unpow-1_binary64_12070` `exp-lft-cube_binary64_12069` `exp-lft-sqr_binary64_12068` `exp-cbrt_binary64_12067` `exp-sqrt_binary64_12066` `exp-neg_binary64_12060` `e-exp-1_binary64_12058` `exp-1-e_binary64_12056` `exp-0_binary64_12055` `rem-log-exp_binary64_12054` `rem-exp-log_binary64_12053` `cube-neg_binary64_12040` `rem-3cbrt-rft_binary64_12039` `rem-3cbrt-lft_binary64_12038` `rem-cbrt-cube_binary64_12037` `rem-cube-cbrt_binary64_12036` `sqr-abs_binary64_12028` `sqr-neg_binary64_12027` `rem-sqrt-square_binary64_12026` `rem-square-sqrt_binary64_12025` `unsub-neg_binary64_12007` `-rgt-identity_binary64_12003` `-lft-identity_binary64_12002` `remove-double-neg_binary64_12001` `sub0-neg_binary64_12000` `--rgt-identity_binary64_11999` `+-rgt-identity_binary64_11998` `+-lft-identity_binary64_11997` `mul0-rgt_binary64_11996` `mul0-lft_binary64_11995` `div0_binary64_11994` `+-inverses_binary64_11992` `lft-mult-inverse_binary64_11991` `rgt-mult-inverse_binary64_11990` `difference-of-sqr--1_binary64_11984` `difference-of-sqr-1_binary64_11983` `cancel-sign-sub_binary64_11978` `distribute-frac-neg_binary64_11976` `distribute-neg-out_binary64_11975` `distribute-rgt-neg-out_binary64_11973` `distribute-rgt1-in_binary64_11969` `distribute-lft1-in_binary64_11968` `distribute-lft-out--_binary64_11965` `distribute-lft-out_binary64_11964` `count-2_binary64_11961` `associate--l-_binary64_11951` `associate-+l-_binary64_11948` `associate-+l+_binary64_11946`

Counts

370 → 869

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	589	12784
1	1678	12643

prune915.0ms (4%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	869	0	869
Fresh	0	3	3
Picked	0	1	1
Done	0	3	3
Total	869	7	876

Error

0.2b

Counts

876 → 7

Compiler

Compiled 26263 to 3417 computations (87% saved)

regimes2.4s (10.5%)

Accuracy

Total 6.5b remaining (99.4%)

Threshold costs 0b (0%)

Compiler

Compiled 16050 to 10716 computations (33.2% saved)

bsearch7.0ms (0%)

Compiler: Compiled 13 to 11 computations (15.4% saved)

simplify41.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

45×	`+-commutative_binary64_11943`
37×	`*-commutative_binary64_11944`
32×	`sub-neg_binary64_12006`
25×	`neg-mul-1_binary64_12009` `neg-sub0_binary64_12008`
15×	`distribute-rgt-neg-in_binary64_11971` `distribute-lft-neg-in_binary64_11970`
10×	`unsub-neg_binary64_12007`
8×	`distribute-neg-in_binary64_11974`
7×	`distribute-neg-frac_binary64_11977`
2×	`distribute-neg-out_binary64_11975`
1×	`cancel-sign-sub-inv_binary64_11979`
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_12273` `if-if-and_binary64_12272` `if-if-or-not_binary64_12271` `if-if-or_binary64_12270` `if-not_binary64_12269` `if-same_binary64_12268` `if-false_binary64_12267` `if-true_binary64_12266` `tan-0_binary64_12142` `cos-0_binary64_12141` `sin-0_binary64_12140` `unpow1_binary64_12071` `e-exp-1_binary64_12058` `1-exp_binary64_12057` `exp-1-e_binary64_12056` `exp-0_binary64_12055` `sqr-abs_binary64_12028` `sqr-neg_binary64_12027` `mul-1-neg_binary64_12005` `/-rgt-identity_binary64_12004` `-rgt-identity_binary64_12003` `-lft-identity_binary64_12002` `remove-double-neg_binary64_12001` `sub0-neg_binary64_12000` `--rgt-identity_binary64_11999` `+-rgt-identity_binary64_11998` `+-lft-identity_binary64_11997` `cancel-sign-sub_binary64_11978` `distribute-frac-neg_binary64_11976` `distribute-rgt-neg-out_binary64_11973` `distribute-lft-neg-out_binary64_11972`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	63	264
1	104	264
2	145	262
3	209	262
4	267	262
5	294	262
6	305	262
7	307	262

Proof

(if real (<= f64 (+ f64 h0 (/ f64 (* f64 (- f64 h1 h2) (- f64 h3 h0)) (- f64 h4 h2))) -4184115911038703/35453245841927124566985666707751764300614838639721738315958305819414631299028500879887779104617985501046150297884773565541615134371397631354113354232368341106962462435900208328787956472260898038631420034941469125892347066566416742519309495457378818583775642048219297237962850304) (+ f64 (* f64 (/ f64 h3 (- f64 h4 h2)) h1) (- f64 (+ f64 h0 (* f64 (/ f64 h2 (- f64 h4 h2)) h0)) (+ f64 (* f64 (/ f64 h3 (- f64 h4 h2)) h2) (* f64 (/ f64 h1 (- f64 h4 h2)) h0)))) (if real (<= f64 (+ f64 h0 (/ f64 (* f64 (- f64 h1 h2) (- f64 h3 h0)) (- f64 h4 h2))) 0) (- f64 (+ f64 h3 (+ f64 (/ f64 (* f64 h0 h1) h2) (/ f64 (* f64 h3 h4) h2))) (+ f64 (/ f64 (* f64 h4 h0) h2) (/ f64 (* f64 h3 h1) h2))) (if real (<= f64 (+ f64 h0 (/ f64 (* f64 (- f64 h1 h2) (- f64 h3 h0)) (- f64 h4 h2))) 1148576243067455866262329318104629074985349418267509077261441525051050309139515931524858616038823686807935930579604504110976949181427064121047342943327299413164029968097396449107665231370574116941925494433084819311579826704835349708959013857348737058513061627528512033902805640380952872757161493770838999040) (- f64 (+ f64 (/ f64 (* f64 h3 h1) (- f64 h4 h2)) (+ f64 (/ f64 (* f64 h2 h0) (- f64 h4 h2)) h0)) (+ f64 (/ f64 (* f64 h1 h0) (- f64 h4 h2)) (/ f64 (* f64 h3 h2) (- f64 h4 h2)))) (+ f64 (* f64 (/ f64 h3 (- f64 h4 h2)) h1) (=> (- f64 (neg f64 (* f64 h0 (+ f64 (/ f64 h4 h2) (* f64 (/ f64 h4 h2) (/ f64 h4 h2))))) (+ f64 (* f64 (/ f64 h3 (- f64 h4 h2)) h2) (* f64 (/ f64 h1 (- f64 h4 h2)) h0))))))))
sub-neg_binary64_12006 =>
(if real (<= f64 (+ f64 h0 (/ f64 (* f64 (- f64 h1 h2) (- f64 h3 h0)) (- f64 h4 h2))) -4184115911038703/35453245841927124566985666707751764300614838639721738315958305819414631299028500879887779104617985501046150297884773565541615134371397631354113354232368341106962462435900208328787956472260898038631420034941469125892347066566416742519309495457378818583775642048219297237962850304) (+ f64 (=> (* f64 (/ f64 h3 (- f64 h4 h2)) h1)) (- f64 (+ f64 h0 (* f64 (/ f64 h2 (- f64 h4 h2)) h0)) (+ f64 (* f64 (/ f64 h3 (- f64 h4 h2)) h2) (* f64 (/ f64 h1 (- f64 h4 h2)) h0)))) (if real (<= f64 (+ f64 h0 (/ f64 (* f64 (- f64 h1 h2) (- f64 h3 h0)) (- f64 h4 h2))) 0) (- f64 (+ f64 h3 (+ f64 (/ f64 (* f64 h0 h1) h2) (/ f64 (* f64 h3 h4) h2))) (+ f64 (/ f64 (* f64 h4 h0) h2) (/ f64 (* f64 h3 h1) h2))) (if real (<= f64 (+ f64 h0 (/ f64 (* f64 (- f64 h1 h2) (- f64 h3 h0)) (- f64 h4 h2))) 1148576243067455866262329318104629074985349418267509077261441525051050309139515931524858616038823686807935930579604504110976949181427064121047342943327299413164029968097396449107665231370574116941925494433084819311579826704835349708959013857348737058513061627528512033902805640380952872757161493770838999040) (- f64 (+ f64 (/ f64 (* f64 h3 h1) (- f64 h4 h2)) (+ f64 (/ f64 (* f64 h2 h0) (- f64 h4 h2)) h0)) (+ f64 (/ f64 (* f64 h1 h0) (- f64 h4 h2)) (/ f64 (* f64 h3 h2) (- f64 h4 h2)))) (+ f64 (* f64 (/ f64 h3 (- f64 h4 h2)) h1) (+ f64 (neg f64 (* f64 h0 (+ f64 (/ f64 h4 h2) (* f64 (/ f64 h4 h2) (/ f64 h4 h2))))) (neg f64 (+ f64 (* f64 (/ f64 h3 (- f64 h4 h2)) h2) (* f64 (/ f64 h1 (- f64 h4 h2)) h0))))))))
*-commutative_binary64_11944 =>
(if real (<= f64 (+ f64 h0 (/ f64 (* f64 (- f64 h1 h2) (- f64 h3 h0)) (- f64 h4 h2))) -4184115911038703/35453245841927124566985666707751764300614838639721738315958305819414631299028500879887779104617985501046150297884773565541615134371397631354113354232368341106962462435900208328787956472260898038631420034941469125892347066566416742519309495457378818583775642048219297237962850304) (+ f64 (* f64 h1 (/ f64 h3 (- f64 h4 h2))) (- f64 (+ f64 h0 (=> (* f64 (/ f64 h2 (- f64 h4 h2)) h0))) (+ f64 (* f64 (/ f64 h3 (- f64 h4 h2)) h2) (* f64 (/ f64 h1 (- f64 h4 h2)) h0)))) (if real (<= f64 (+ f64 h0 (/ f64 (* f64 (- f64 h1 h2) (- f64 h3 h0)) (- f64 h4 h2))) 0) (- f64 (+ f64 h3 (+ f64 (/ f64 (* f64 h0 h1) h2) (/ f64 (* f64 h3 h4) h2))) (+ f64 (/ f64 (* f64 h4 h0) h2) (/ f64 (* f64 h3 h1) h2))) (if real (<= f64 (+ f64 h0 (/ f64 (* f64 (- f64 h1 h2) (- f64 h3 h0)) (- f64 h4 h2))) 1148576243067455866262329318104629074985349418267509077261441525051050309139515931524858616038823686807935930579604504110976949181427064121047342943327299413164029968097396449107665231370574116941925494433084819311579826704835349708959013857348737058513061627528512033902805640380952872757161493770838999040) (- f64 (+ f64 (/ f64 (* f64 h3 h1) (- f64 h4 h2)) (+ f64 (/ f64 (* f64 h2 h0) (- f64 h4 h2)) h0)) (+ f64 (/ f64 (* f64 h1 h0) (- f64 h4 h2)) (/ f64 (* f64 h3 h2) (- f64 h4 h2)))) (+ f64 (* f64 (/ f64 h3 (- f64 h4 h2)) h1) (+ f64 (neg f64 (* f64 h0 (+ f64 (/ f64 h4 h2) (* f64 (/ f64 h4 h2) (/ f64 h4 h2))))) (neg f64 (+ f64 (* f64 (/ f64 h3 (- f64 h4 h2)) h2) (* f64 (/ f64 h1 (- f64 h4 h2)) h0))))))))
*-commutative_binary64_11944 =>
(if real (<= f64 (+ f64 h0 (/ f64 (* f64 (- f64 h1 h2) (- f64 h3 h0)) (- f64 h4 h2))) -4184115911038703/35453245841927124566985666707751764300614838639721738315958305819414631299028500879887779104617985501046150297884773565541615134371397631354113354232368341106962462435900208328787956472260898038631420034941469125892347066566416742519309495457378818583775642048219297237962850304) (+ f64 (* f64 h1 (/ f64 h3 (- f64 h4 h2))) (- f64 (+ f64 h0 (* f64 h0 (/ f64 h2 (- f64 h4 h2)))) (+ f64 (=> (* f64 (/ f64 h3 (- f64 h4 h2)) h2)) (* f64 (/ f64 h1 (- f64 h4 h2)) h0)))) (if real (<= f64 (+ f64 h0 (/ f64 (* f64 (- f64 h1 h2) (- f64 h3 h0)) (- f64 h4 h2))) 0) (- f64 (+ f64 h3 (+ f64 (/ f64 (* f64 h0 h1) h2) (/ f64 (* f64 h3 h4) h2))) (+ f64 (/ f64 (* f64 h4 h0) h2) (/ f64 (* f64 h3 h1) h2))) (if real (<= f64 (+ f64 h0 (/ f64 (* f64 (- f64 h1 h2) (- f64 h3 h0)) (- f64 h4 h2))) 1148576243067455866262329318104629074985349418267509077261441525051050309139515931524858616038823686807935930579604504110976949181427064121047342943327299413164029968097396449107665231370574116941925494433084819311579826704835349708959013857348737058513061627528512033902805640380952872757161493770838999040) (- f64 (+ f64 (/ f64 (* f64 h3 h1) (- f64 h4 h2)) (+ f64 (/ f64 (* f64 h2 h0) (- f64 h4 h2)) h0)) (+ f64 (/ f64 (* f64 h1 h0) (- f64 h4 h2)) (/ f64 (* f64 h3 h2) (- f64 h4 h2)))) (+ f64 (* f64 (/ f64 h3 (- f64 h4 h2)) h1) (+ f64 (neg f64 (* f64 h0 (+ f64 (/ f64 h4 h2) (* f64 (/ f64 h4 h2) (/ f64 h4 h2))))) (neg f64 (+ f64 (* f64 (/ f64 h3 (- f64 h4 h2)) h2) (* f64 (/ f64 h1 (- f64 h4 h2)) h0))))))))
*-commutative_binary64_11944 =>
(if real (<= f64 (+ f64 h0 (/ f64 (* f64 (- f64 h1 h2) (- f64 h3 h0)) (- f64 h4 h2))) -4184115911038703/35453245841927124566985666707751764300614838639721738315958305819414631299028500879887779104617985501046150297884773565541615134371397631354113354232368341106962462435900208328787956472260898038631420034941469125892347066566416742519309495457378818583775642048219297237962850304) (+ f64 (* f64 h1 (/ f64 h3 (- f64 h4 h2))) (- f64 (+ f64 h0 (* f64 h0 (/ f64 h2 (- f64 h4 h2)))) (+ f64 (* f64 h2 (/ f64 h3 (- f64 h4 h2))) (* f64 (/ f64 h1 (- f64 h4 h2)) h0)))) (if real (<= f64 (+ f64 h0 (/ f64 (* f64 (- f64 h1 h2) (- f64 h3 h0)) (- f64 h4 h2))) 0) (- f64 (+ f64 h3 (+ f64 (/ f64 (* f64 h0 h1) h2) (/ f64 (* f64 h3 h4) h2))) (+ f64 (/ f64 (* f64 h4 h0) h2) (/ f64 (* f64 h3 h1) h2))) (if real (<= f64 (+ f64 h0 (/ f64 (* f64 (- f64 h1 h2) (- f64 h3 h0)) (- f64 h4 h2))) 1148576243067455866262329318104629074985349418267509077261441525051050309139515931524858616038823686807935930579604504110976949181427064121047342943327299413164029968097396449107665231370574116941925494433084819311579826704835349708959013857348737058513061627528512033902805640380952872757161493770838999040) (- f64 (+ f64 (/ f64 (* f64 h3 h1) (- f64 h4 h2)) (+ f64 (/ f64 (* f64 h2 h0) (- f64 h4 h2)) h0)) (+ f64 (/ f64 (* f64 h1 h0) (- f64 h4 h2)) (/ f64 (=> (* f64 h3 h2)) (- f64 h4 h2)))) (+ f64 (* f64 (/ f64 h3 (- f64 h4 h2)) h1) (+ f64 (neg f64 (* f64 h0 (+ f64 (/ f64 h4 h2) (* f64 (/ f64 h4 h2) (/ f64 h4 h2))))) (neg f64 (+ f64 (* f64 (/ f64 h3 (- f64 h4 h2)) h2) (* f64 (/ f64 h1 (- f64 h4 h2)) h0))))))))
*-commutative_binary64_11944 =>
(if real (<= f64 (+ f64 h0 (/ f64 (* f64 (- f64 h1 h2) (- f64 h3 h0)) (- f64 h4 h2))) -4184115911038703/35453245841927124566985666707751764300614838639721738315958305819414631299028500879887779104617985501046150297884773565541615134371397631354113354232368341106962462435900208328787956472260898038631420034941469125892347066566416742519309495457378818583775642048219297237962850304) (+ f64 (* f64 h1 (/ f64 h3 (- f64 h4 h2))) (- f64 (+ f64 h0 (* f64 h0 (/ f64 h2 (- f64 h4 h2)))) (+ f64 (* f64 h2 (/ f64 h3 (- f64 h4 h2))) (* f64 (/ f64 h1 (- f64 h4 h2)) h0)))) (if real (<= f64 (+ f64 h0 (/ f64 (* f64 (- f64 h1 h2) (- f64 h3 h0)) (- f64 h4 h2))) 0) (- f64 (+ f64 h3 (+ f64 (/ f64 (* f64 h0 h1) h2) (/ f64 (* f64 h3 h4) h2))) (+ f64 (/ f64 (* f64 h4 h0) h2) (/ f64 (* f64 h3 h1) h2))) (if real (<= f64 (+ f64 h0 (/ f64 (* f64 (- f64 h1 h2) (- f64 h3 h0)) (- f64 h4 h2))) 1148576243067455866262329318104629074985349418267509077261441525051050309139515931524858616038823686807935930579604504110976949181427064121047342943327299413164029968097396449107665231370574116941925494433084819311579826704835349708959013857348737058513061627528512033902805640380952872757161493770838999040) (- f64 (+ f64 (/ f64 (=> (* f64 h3 h1)) (- f64 h4 h2)) (+ f64 (/ f64 (* f64 h2 h0) (- f64 h4 h2)) h0)) (+ f64 (/ f64 (* f64 h1 h0) (- f64 h4 h2)) (/ f64 (* f64 h2 h3) (- f64 h4 h2)))) (+ f64 (* f64 (/ f64 h3 (- f64 h4 h2)) h1) (+ f64 (neg f64 (* f64 h0 (+ f64 (/ f64 h4 h2) (* f64 (/ f64 h4 h2) (/ f64 h4 h2))))) (neg f64 (+ f64 (* f64 (/ f64 h3 (- f64 h4 h2)) h2) (* f64 (/ f64 h1 (- f64 h4 h2)) h0))))))))
*-commutative_binary64_11944 =>
(if real (<= f64 (+ f64 h0 (/ f64 (* f64 (- f64 h1 h2) (- f64 h3 h0)) (- f64 h4 h2))) -4184115911038703/35453245841927124566985666707751764300614838639721738315958305819414631299028500879887779104617985501046150297884773565541615134371397631354113354232368341106962462435900208328787956472260898038631420034941469125892347066566416742519309495457378818583775642048219297237962850304) (+ f64 (* f64 h1 (/ f64 h3 (- f64 h4 h2))) (- f64 (+ f64 h0 (* f64 h0 (/ f64 h2 (- f64 h4 h2)))) (+ f64 (* f64 h2 (/ f64 h3 (- f64 h4 h2))) (* f64 (/ f64 h1 (- f64 h4 h2)) h0)))) (if real (<= f64 (+ f64 h0 (/ f64 (* f64 (- f64 h1 h2) (- f64 h3 h0)) (- f64 h4 h2))) 0) (- f64 (+ f64 h3 (+ f64 (/ f64 (* f64 h0 h1) h2) (/ f64 (* f64 h3 h4) h2))) (+ f64 (/ f64 (* f64 h4 h0) h2) (/ f64 (=> (* f64 h3 h1)) h2))) (if real (<= f64 (+ f64 h0 (/ f64 (* f64 (- f64 h1 h2) (- f64 h3 h0)) (- f64 h4 h2))) 1148576243067455866262329318104629074985349418267509077261441525051050309139515931524858616038823686807935930579604504110976949181427064121047342943327299413164029968097396449107665231370574116941925494433084819311579826704835349708959013857348737058513061627528512033902805640380952872757161493770838999040) (- f64 (+ f64 (/ f64 (* f64 h1 h3) (- f64 h4 h2)) (+ f64 (/ f64 (* f64 h2 h0) (- f64 h4 h2)) h0)) (+ f64 (/ f64 (* f64 h1 h0) (- f64 h4 h2)) (/ f64 (* f64 h2 h3) (- f64 h4 h2)))) (+ f64 (* f64 (/ f64 h3 (- f64 h4 h2)) h1) (+ f64 (neg f64 (* f64 h0 (+ f64 (/ f64 h4 h2) (* f64 (/ f64 h4 h2) (/ f64 h4 h2))))) (neg f64 (+ f64 (* f64 (/ f64 h3 (- f64 h4 h2)) h2) (* f64 (/ f64 h1 (- f64 h4 h2)) h0))))))))
*-commutative_binary64_11944 =>
(if real (<= f64 (+ f64 h0 (/ f64 (* f64 (- f64 h1 h2) (- f64 h3 h0)) (- f64 h4 h2))) -4184115911038703/35453245841927124566985666707751764300614838639721738315958305819414631299028500879887779104617985501046150297884773565541615134371397631354113354232368341106962462435900208328787956472260898038631420034941469125892347066566416742519309495457378818583775642048219297237962850304) (+ f64 (* f64 h1 (/ f64 h3 (- f64 h4 h2))) (- f64 (+ f64 h0 (* f64 h0 (/ f64 h2 (- f64 h4 h2)))) (+ f64 (* f64 h2 (/ f64 h3 (- f64 h4 h2))) (* f64 (/ f64 h1 (- f64 h4 h2)) h0)))) (if real (<= f64 (+ f64 h0 (/ f64 (* f64 (- f64 h1 h2) (- f64 h3 h0)) (- f64 h4 h2))) 0) (- f64 (+ f64 h3 (+ f64 (/ f64 (* f64 h0 h1) h2) (/ f64 (* f64 h3 h4) h2))) (+ f64 (/ f64 (=> (* f64 h4 h0)) h2) (/ f64 (* f64 h1 h3) h2))) (if real (<= f64 (+ f64 h0 (/ f64 (* f64 (- f64 h1 h2) (- f64 h3 h0)) (- f64 h4 h2))) 1148576243067455866262329318104629074985349418267509077261441525051050309139515931524858616038823686807935930579604504110976949181427064121047342943327299413164029968097396449107665231370574116941925494433084819311579826704835349708959013857348737058513061627528512033902805640380952872757161493770838999040) (- f64 (+ f64 (/ f64 (* f64 h1 h3) (- f64 h4 h2)) (+ f64 (/ f64 (* f64 h2 h0) (- f64 h4 h2)) h0)) (+ f64 (/ f64 (* f64 h1 h0) (- f64 h4 h2)) (/ f64 (* f64 h2 h3) (- f64 h4 h2)))) (+ f64 (* f64 (/ f64 h3 (- f64 h4 h2)) h1) (+ f64 (neg f64 (* f64 h0 (+ f64 (/ f64 h4 h2) (* f64 (/ f64 h4 h2) (/ f64 h4 h2))))) (neg f64 (+ f64 (* f64 (/ f64 h3 (- f64 h4 h2)) h2) (* f64 (/ f64 h1 (- f64 h4 h2)) h0))))))))
*-commutative_binary64_11944 =>
(if real (<= f64 (+ f64 h0 (/ f64 (* f64 (- f64 h1 h2) (- f64 h3 h0)) (- f64 h4 h2))) -4184115911038703/35453245841927124566985666707751764300614838639721738315958305819414631299028500879887779104617985501046150297884773565541615134371397631354113354232368341106962462435900208328787956472260898038631420034941469125892347066566416742519309495457378818583775642048219297237962850304) (+ f64 (* f64 h1 (/ f64 h3 (- f64 h4 h2))) (- f64 (+ f64 h0 (* f64 h0 (/ f64 h2 (- f64 h4 h2)))) (+ f64 (* f64 h2 (/ f64 h3 (- f64 h4 h2))) (* f64 (/ f64 h1 (- f64 h4 h2)) h0)))) (if real (<= f64 (+ f64 h0 (/ f64 (* f64 (- f64 h1 h2) (- f64 h3 h0)) (- f64 h4 h2))) 0) (- f64 (+ f64 h3 (+ f64 (/ f64 (* f64 h0 h1) h2) (/ f64 (* f64 h3 h4) h2))) (+ f64 (/ f64 (* f64 h0 h4) h2) (/ f64 (* f64 h1 h3) h2))) (if real (<= f64 (+ f64 h0 (/ f64 (* f64 (- f64 h1 h2) (- f64 h3 h0)) (- f64 h4 h2))) 1148576243067455866262329318104629074985349418267509077261441525051050309139515931524858616038823686807935930579604504110976949181427064121047342943327299413164029968097396449107665231370574116941925494433084819311579826704835349708959013857348737058513061627528512033902805640380952872757161493770838999040) (- f64 (+ f64 (/ f64 (* f64 h1 h3) (- f64 h4 h2)) (+ f64 (/ f64 (* f64 h2 h0) (- f64 h4 h2)) h0)) (+ f64 (/ f64 (=> (* f64 h1 h0)) (- f64 h4 h2)) (/ f64 (* f64 h2 h3) (- f64 h4 h2)))) (+ f64 (* f64 (/ f64 h3 (- f64 h4 h2)) h1) (+ f64 (neg f64 (* f64 h0 (+ f64 (/ f64 h4 h2) (* f64 (/ f64 h4 h2) (/ f64 h4 h2))))) (neg f64 (+ f64 (* f64 (/ f64 h3 (- f64 h4 h2)) h2) (* f64 (/ f64 h1 (- f64 h4 h2)) h0))))))))
*-commutative_binary64_11944 =>
(if real (<= f64 (+ f64 h0 (/ f64 (* f64 (- f64 h1 h2) (- f64 h3 h0)) (- f64 h4 h2))) -4184115911038703/35453245841927124566985666707751764300614838639721738315958305819414631299028500879887779104617985501046150297884773565541615134371397631354113354232368341106962462435900208328787956472260898038631420034941469125892347066566416742519309495457378818583775642048219297237962850304) (+ f64 (* f64 h1 (/ f64 h3 (- f64 h4 h2))) (- f64 (+ f64 h0 (* f64 h0 (/ f64 h2 (- f64 h4 h2)))) (+ f64 (* f64 h2 (/ f64 h3 (- f64 h4 h2))) (=> (* f64 (/ f64 h1 (- f64 h4 h2)) h0))))) (if real (<= f64 (+ f64 h0 (/ f64 (* f64 (- f64 h1 h2) (- f64 h3 h0)) (- f64 h4 h2))) 0) (- f64 (+ f64 h3 (+ f64 (/ f64 (* f64 h0 h1) h2) (/ f64 (* f64 h3 h4) h2))) (+ f64 (/ f64 (* f64 h0 h4) h2) (/ f64 (* f64 h1 h3) h2))) (if real (<= f64 (+ f64 h0 (/ f64 (* f64 (- f64 h1 h2) (- f64 h3 h0)) (- f64 h4 h2))) 1148576243067455866262329318104629074985349418267509077261441525051050309139515931524858616038823686807935930579604504110976949181427064121047342943327299413164029968097396449107665231370574116941925494433084819311579826704835349708959013857348737058513061627528512033902805640380952872757161493770838999040) (- f64 (+ f64 (/ f64 (* f64 h1 h3) (- f64 h4 h2)) (+ f64 (/ f64 (* f64 h2 h0) (- f64 h4 h2)) h0)) (+ f64 (/ f64 (* f64 h0 h1) (- f64 h4 h2)) (/ f64 (* f64 h2 h3) (- f64 h4 h2)))) (+ f64 (* f64 (/ f64 h3 (- f64 h4 h2)) h1) (+ f64 (neg f64 (* f64 h0 (+ f64 (/ f64 h4 h2) (* f64 (/ f64 h4 h2) (/ f64 h4 h2))))) (neg f64 (+ f64 (* f64 (/ f64 h3 (- f64 h4 h2)) h2) (* f64 (/ f64 h1 (- f64 h4 h2)) h0))))))))
*-commutative_binary64_11944 =>
(if real (<= f64 (+ f64 h0 (/ f64 (* f64 (- f64 h1 h2) (- f64 h3 h0)) (- f64 h4 h2))) -4184115911038703/35453245841927124566985666707751764300614838639721738315958305819414631299028500879887779104617985501046150297884773565541615134371397631354113354232368341106962462435900208328787956472260898038631420034941469125892347066566416742519309495457378818583775642048219297237962850304) (+ f64 (* f64 h1 (/ f64 h3 (- f64 h4 h2))) (- f64 (+ f64 h0 (* f64 h0 (/ f64 h2 (- f64 h4 h2)))) (+ f64 (* f64 h2 (/ f64 h3 (- f64 h4 h2))) (* f64 h0 (/ f64 h1 (- f64 h4 h2)))))) (if real (<= f64 (+ f64 h0 (/ f64 (* f64 (- f64 h1 h2) (- f64 h3 h0)) (- f64 h4 h2))) 0) (- f64 (+ f64 h3 (+ f64 (/ f64 (* f64 h0 h1) h2) (/ f64 (* f64 h3 h4) h2))) (+ f64 (/ f64 (* f64 h0 h4) h2) (/ f64 (* f64 h1 h3) h2))) (if real (<= f64 (+ f64 h0 (/ f64 (* f64 (- f64 h1 h2) (- f64 h3 h0)) (- f64 h4 h2))) 1148576243067455866262329318104629074985349418267509077261441525051050309139515931524858616038823686807935930579604504110976949181427064121047342943327299413164029968097396449107665231370574116941925494433084819311579826704835349708959013857348737058513061627528512033902805640380952872757161493770838999040) (- f64 (+ f64 (/ f64 (* f64 h1 h3) (- f64 h4 h2)) (=> (+ f64 (/ f64 (* f64 h2 h0) (- f64 h4 h2)) h0))) (+ f64 (/ f64 (* f64 h0 h1) (- f64 h4 h2)) (/ f64 (* f64 h2 h3) (- f64 h4 h2)))) (+ f64 (* f64 (/ f64 h3 (- f64 h4 h2)) h1) (+ f64 (neg f64 (* f64 h0 (+ f64 (/ f64 h4 h2) (* f64 (/ f64 h4 h2) (/ f64 h4 h2))))) (neg f64 (+ f64 (* f64 (/ f64 h3 (- f64 h4 h2)) h2) (* f64 (/ f64 h1 (- f64 h4 h2)) h0))))))))
+-commutative_binary64_11943 =>
(if real (<= f64 (+ f64 h0 (/ f64 (* f64 (- f64 h1 h2) (- f64 h3 h0)) (- f64 h4 h2))) -4184115911038703/35453245841927124566985666707751764300614838639721738315958305819414631299028500879887779104617985501046150297884773565541615134371397631354113354232368341106962462435900208328787956472260898038631420034941469125892347066566416742519309495457378818583775642048219297237962850304) (+ f64 (* f64 h1 (/ f64 h3 (- f64 h4 h2))) (- f64 (+ f64 h0 (* f64 h0 (/ f64 h2 (- f64 h4 h2)))) (+ f64 (* f64 h2 (/ f64 h3 (- f64 h4 h2))) (* f64 h0 (/ f64 h1 (- f64 h4 h2)))))) (if real (<= f64 (+ f64 h0 (/ f64 (* f64 (- f64 h1 h2) (- f64 h3 h0)) (- f64 h4 h2))) 0) (- f64 (+ f64 h3 (+ f64 (/ f64 (* f64 h0 h1) h2) (/ f64 (* f64 h3 h4) h2))) (+ f64 (/ f64 (* f64 h0 h4) h2) (/ f64 (* f64 h1 h3) h2))) (if real (<= f64 (+ f64 h0 (/ f64 (* f64 (- f64 h1 h2) (- f64 h3 h0)) (- f64 h4 h2))) 1148576243067455866262329318104629074985349418267509077261441525051050309139515931524858616038823686807935930579604504110976949181427064121047342943327299413164029968097396449107665231370574116941925494433084819311579826704835349708959013857348737058513061627528512033902805640380952872757161493770838999040) (- f64 (+ f64 (/ f64 (* f64 h1 h3) (- f64 h4 h2)) (+ f64 h0 (/ f64 (=> (* f64 h2 h0)) (- f64 h4 h2)))) (+ f64 (/ f64 (* f64 h0 h1) (- f64 h4 h2)) (/ f64 (* f64 h2 h3) (- f64 h4 h2)))) (+ f64 (* f64 (/ f64 h3 (- f64 h4 h2)) h1) (+ f64 (neg f64 (* f64 h0 (+ f64 (/ f64 h4 h2) (* f64 (/ f64 h4 h2) (/ f64 h4 h2))))) (neg f64 (+ f64 (* f64 (/ f64 h3 (- f64 h4 h2)) h2) (* f64 (/ f64 h1 (- f64 h4 h2)) h0))))))))
*-commutative_binary64_11944 =>
(if real (<= f64 (+ f64 h0 (/ f64 (* f64 (- f64 h1 h2) (- f64 h3 h0)) (- f64 h4 h2))) -4184115911038703/35453245841927124566985666707751764300614838639721738315958305819414631299028500879887779104617985501046150297884773565541615134371397631354113354232368341106962462435900208328787956472260898038631420034941469125892347066566416742519309495457378818583775642048219297237962850304) (+ f64 (* f64 h1 (/ f64 h3 (- f64 h4 h2))) (- f64 (+ f64 h0 (* f64 h0 (/ f64 h2 (- f64 h4 h2)))) (+ f64 (* f64 h2 (/ f64 h3 (- f64 h4 h2))) (* f64 h0 (/ f64 h1 (- f64 h4 h2)))))) (if real (<= f64 (+ f64 h0 (/ f64 (* f64 (- f64 h1 h2) (- f64 h3 h0)) (- f64 h4 h2))) 0) (- f64 (+ f64 h3 (+ f64 (/ f64 (* f64 h0 h1) h2) (/ f64 (* f64 h3 h4) h2))) (+ f64 (/ f64 (* f64 h0 h4) h2) (/ f64 (* f64 h1 h3) h2))) (if real (<= f64 (+ f64 h0 (/ f64 (* f64 (- f64 h1 h2) (- f64 h3 h0)) (- f64 h4 h2))) 1148576243067455866262329318104629074985349418267509077261441525051050309139515931524858616038823686807935930579604504110976949181427064121047342943327299413164029968097396449107665231370574116941925494433084819311579826704835349708959013857348737058513061627528512033902805640380952872757161493770838999040) (- f64 (+ f64 (/ f64 (* f64 h1 h3) (- f64 h4 h2)) (+ f64 h0 (/ f64 (* f64 h0 h2) (- f64 h4 h2)))) (+ f64 (/ f64 (* f64 h0 h1) (- f64 h4 h2)) (/ f64 (* f64 h2 h3) (- f64 h4 h2)))) (+ f64 (* f64 (/ f64 h3 (- f64 h4 h2)) h1) (=> (+ f64 (neg f64 (* f64 h0 (+ f64 (/ f64 h4 h2) (* f64 (/ f64 h4 h2) (/ f64 h4 h2))))) (neg f64 (+ f64 (* f64 (/ f64 h3 (- f64 h4 h2)) h2) (* f64 (/ f64 h1 (- f64 h4 h2)) h0)))))))))
distribute-neg-out_binary64_11975 =>
(if real (<= f64 (+ f64 h0 (/ f64 (* f64 (- f64 h1 h2) (- f64 h3 h0)) (- f64 h4 h2))) -4184115911038703/35453245841927124566985666707751764300614838639721738315958305819414631299028500879887779104617985501046150297884773565541615134371397631354113354232368341106962462435900208328787956472260898038631420034941469125892347066566416742519309495457378818583775642048219297237962850304) (+ f64 (* f64 h1 (/ f64 h3 (- f64 h4 h2))) (- f64 (+ f64 h0 (* f64 h0 (/ f64 h2 (- f64 h4 h2)))) (+ f64 (* f64 h2 (/ f64 h3 (- f64 h4 h2))) (* f64 h0 (/ f64 h1 (- f64 h4 h2)))))) (if real (<= f64 (+ f64 h0 (/ f64 (* f64 (- f64 h1 h2) (- f64 h3 h0)) (- f64 h4 h2))) 0) (- f64 (+ f64 h3 (+ f64 (/ f64 (* f64 h0 h1) h2) (/ f64 (* f64 h3 h4) h2))) (+ f64 (/ f64 (* f64 h0 h4) h2) (/ f64 (* f64 h1 h3) h2))) (if real (<= f64 (+ f64 h0 (/ f64 (* f64 (- f64 h1 h2) (- f64 h3 h0)) (- f64 h4 h2))) 1148576243067455866262329318104629074985349418267509077261441525051050309139515931524858616038823686807935930579604504110976949181427064121047342943327299413164029968097396449107665231370574116941925494433084819311579826704835349708959013857348737058513061627528512033902805640380952872757161493770838999040) (- f64 (+ f64 (/ f64 (* f64 h1 h3) (- f64 h4 h2)) (+ f64 h0 (/ f64 (* f64 h0 h2) (- f64 h4 h2)))) (+ f64 (/ f64 (* f64 h0 h1) (- f64 h4 h2)) (/ f64 (* f64 h2 h3) (- f64 h4 h2)))) (=> (+ f64 (* f64 (/ f64 h3 (- f64 h4 h2)) h1) (neg f64 (+ f64 (* f64 h0 (+ f64 (/ f64 h4 h2) (* f64 (/ f64 h4 h2) (/ f64 h4 h2)))) (+ f64 (* f64 (/ f64 h3 (- f64 h4 h2)) h2) (* f64 (/ f64 h1 (- f64 h4 h2)) h0)))))))))
unsub-neg_binary64_12007 =>
(if real (<= f64 (+ f64 h0 (/ f64 (* f64 (- f64 h1 h2) (- f64 h3 h0)) (- f64 h4 h2))) -4184115911038703/35453245841927124566985666707751764300614838639721738315958305819414631299028500879887779104617985501046150297884773565541615134371397631354113354232368341106962462435900208328787956472260898038631420034941469125892347066566416742519309495457378818583775642048219297237962850304) (+ f64 (* f64 h1 (/ f64 h3 (- f64 h4 h2))) (- f64 (+ f64 h0 (* f64 h0 (/ f64 h2 (- f64 h4 h2)))) (+ f64 (* f64 h2 (/ f64 h3 (- f64 h4 h2))) (* f64 h0 (/ f64 h1 (- f64 h4 h2)))))) (if real (<= f64 (+ f64 h0 (/ f64 (* f64 (- f64 h1 h2) (- f64 h3 h0)) (- f64 h4 h2))) 0) (- f64 (+ f64 h3 (+ f64 (/ f64 (* f64 h0 h1) h2) (/ f64 (* f64 h3 h4) h2))) (+ f64 (/ f64 (* f64 h0 h4) h2) (/ f64 (* f64 h1 h3) h2))) (if real (<= f64 (+ f64 h0 (/ f64 (* f64 (- f64 h1 h2) (- f64 h3 h0)) (- f64 h4 h2))) 1148576243067455866262329318104629074985349418267509077261441525051050309139515931524858616038823686807935930579604504110976949181427064121047342943327299413164029968097396449107665231370574116941925494433084819311579826704835349708959013857348737058513061627528512033902805640380952872757161493770838999040) (- f64 (+ f64 (/ f64 (* f64 h1 h3) (- f64 h4 h2)) (+ f64 h0 (/ f64 (* f64 h0 h2) (- f64 h4 h2)))) (+ f64 (/ f64 (* f64 h0 h1) (- f64 h4 h2)) (/ f64 (* f64 h2 h3) (- f64 h4 h2)))) (- f64 (=> (* f64 (/ f64 h3 (- f64 h4 h2)) h1)) (+ f64 (* f64 h0 (+ f64 (/ f64 h4 h2) (* f64 (/ f64 h4 h2) (/ f64 h4 h2)))) (+ f64 (* f64 (/ f64 h3 (- f64 h4 h2)) h2) (* f64 (/ f64 h1 (- f64 h4 h2)) h0)))))))
*-commutative_binary64_11944 =>
(if real (<= f64 (+ f64 h0 (/ f64 (* f64 (- f64 h1 h2) (- f64 h3 h0)) (- f64 h4 h2))) -4184115911038703/35453245841927124566985666707751764300614838639721738315958305819414631299028500879887779104617985501046150297884773565541615134371397631354113354232368341106962462435900208328787956472260898038631420034941469125892347066566416742519309495457378818583775642048219297237962850304) (+ f64 (* f64 h1 (/ f64 h3 (- f64 h4 h2))) (- f64 (+ f64 h0 (* f64 h0 (/ f64 h2 (- f64 h4 h2)))) (+ f64 (* f64 h2 (/ f64 h3 (- f64 h4 h2))) (* f64 h0 (/ f64 h1 (- f64 h4 h2)))))) (if real (<= f64 (+ f64 h0 (/ f64 (* f64 (- f64 h1 h2) (- f64 h3 h0)) (- f64 h4 h2))) 0) (- f64 (+ f64 h3 (+ f64 (/ f64 (* f64 h0 h1) h2) (/ f64 (* f64 h3 h4) h2))) (+ f64 (/ f64 (* f64 h0 h4) h2) (/ f64 (* f64 h1 h3) h2))) (if real (<= f64 (+ f64 h0 (/ f64 (* f64 (- f64 h1 h2) (- f64 h3 h0)) (- f64 h4 h2))) 1148576243067455866262329318104629074985349418267509077261441525051050309139515931524858616038823686807935930579604504110976949181427064121047342943327299413164029968097396449107665231370574116941925494433084819311579826704835349708959013857348737058513061627528512033902805640380952872757161493770838999040) (- f64 (+ f64 (/ f64 (* f64 h1 h3) (- f64 h4 h2)) (+ f64 h0 (/ f64 (* f64 h0 h2) (- f64 h4 h2)))) (+ f64 (/ f64 (* f64 h0 h1) (- f64 h4 h2)) (/ f64 (* f64 h2 h3) (- f64 h4 h2)))) (- f64 (* f64 h1 (/ f64 h3 (- f64 h4 h2))) (=> (+ f64 (* f64 h0 (+ f64 (/ f64 h4 h2) (* f64 (/ f64 h4 h2) (/ f64 h4 h2)))) (+ f64 (* f64 (/ f64 h3 (- f64 h4 h2)) h2) (* f64 (/ f64 h1 (- f64 h4 h2)) h0))))))))
+-commutative_binary64_11943 =>
(if real (<= f64 (+ f64 h0 (/ f64 (* f64 (- f64 h1 h2) (- f64 h3 h0)) (- f64 h4 h2))) -4184115911038703/35453245841927124566985666707751764300614838639721738315958305819414631299028500879887779104617985501046150297884773565541615134371397631354113354232368341106962462435900208328787956472260898038631420034941469125892347066566416742519309495457378818583775642048219297237962850304) (+ f64 (* f64 h1 (/ f64 h3 (- f64 h4 h2))) (- f64 (+ f64 h0 (* f64 h0 (/ f64 h2 (- f64 h4 h2)))) (+ f64 (* f64 h2 (/ f64 h3 (- f64 h4 h2))) (* f64 h0 (/ f64 h1 (- f64 h4 h2)))))) (if real (<= f64 (+ f64 h0 (/ f64 (* f64 (- f64 h1 h2) (- f64 h3 h0)) (- f64 h4 h2))) 0) (- f64 (+ f64 h3 (+ f64 (/ f64 (* f64 h0 h1) h2) (/ f64 (* f64 h3 h4) h2))) (+ f64 (/ f64 (* f64 h0 h4) h2) (/ f64 (* f64 h1 h3) h2))) (if real (<= f64 (+ f64 h0 (/ f64 (* f64 (- f64 h1 h2) (- f64 h3 h0)) (- f64 h4 h2))) 1148576243067455866262329318104629074985349418267509077261441525051050309139515931524858616038823686807935930579604504110976949181427064121047342943327299413164029968097396449107665231370574116941925494433084819311579826704835349708959013857348737058513061627528512033902805640380952872757161493770838999040) (- f64 (+ f64 (/ f64 (* f64 h1 h3) (- f64 h4 h2)) (+ f64 h0 (/ f64 (* f64 h0 h2) (- f64 h4 h2)))) (+ f64 (/ f64 (* f64 h0 h1) (- f64 h4 h2)) (/ f64 (* f64 h2 h3) (- f64 h4 h2)))) (- f64 (* f64 h1 (/ f64 h3 (- f64 h4 h2))) (+ f64 (+ f64 (=> (* f64 (/ f64 h3 (- f64 h4 h2)) h2)) (* f64 (/ f64 h1 (- f64 h4 h2)) h0)) (* f64 h0 (+ f64 (/ f64 h4 h2) (* f64 (/ f64 h4 h2) (/ f64 h4 h2)))))))))
*-commutative_binary64_11944 =>
(if real (<= f64 (+ f64 h0 (/ f64 (* f64 (- f64 h1 h2) (- f64 h3 h0)) (- f64 h4 h2))) -4184115911038703/35453245841927124566985666707751764300614838639721738315958305819414631299028500879887779104617985501046150297884773565541615134371397631354113354232368341106962462435900208328787956472260898038631420034941469125892347066566416742519309495457378818583775642048219297237962850304) (+ f64 (* f64 h1 (/ f64 h3 (- f64 h4 h2))) (- f64 (+ f64 h0 (* f64 h0 (/ f64 h2 (- f64 h4 h2)))) (+ f64 (* f64 h2 (/ f64 h3 (- f64 h4 h2))) (* f64 h0 (/ f64 h1 (- f64 h4 h2)))))) (if real (<= f64 (+ f64 h0 (/ f64 (* f64 (- f64 h1 h2) (- f64 h3 h0)) (- f64 h4 h2))) 0) (- f64 (+ f64 h3 (+ f64 (/ f64 (* f64 h0 h1) h2) (/ f64 (* f64 h3 h4) h2))) (+ f64 (/ f64 (* f64 h0 h4) h2) (/ f64 (* f64 h1 h3) h2))) (if real (<= f64 (+ f64 h0 (/ f64 (* f64 (- f64 h1 h2) (- f64 h3 h0)) (- f64 h4 h2))) 1148576243067455866262329318104629074985349418267509077261441525051050309139515931524858616038823686807935930579604504110976949181427064121047342943327299413164029968097396449107665231370574116941925494433084819311579826704835349708959013857348737058513061627528512033902805640380952872757161493770838999040) (- f64 (+ f64 (/ f64 (* f64 h1 h3) (- f64 h4 h2)) (+ f64 h0 (/ f64 (* f64 h0 h2) (- f64 h4 h2)))) (+ f64 (/ f64 (* f64 h0 h1) (- f64 h4 h2)) (/ f64 (* f64 h2 h3) (- f64 h4 h2)))) (- f64 (* f64 h1 (/ f64 h3 (- f64 h4 h2))) (+ f64 (+ f64 (* f64 h2 (/ f64 h3 (- f64 h4 h2))) (=> (* f64 (/ f64 h1 (- f64 h4 h2)) h0))) (* f64 h0 (+ f64 (/ f64 h4 h2) (* f64 (/ f64 h4 h2) (/ f64 h4 h2)))))))))
*-commutative_binary64_11944 =>
(if real (<= f64 (+ f64 h0 (/ f64 (* f64 (- f64 h1 h2) (- f64 h3 h0)) (- f64 h4 h2))) -4184115911038703/35453245841927124566985666707751764300614838639721738315958305819414631299028500879887779104617985501046150297884773565541615134371397631354113354232368341106962462435900208328787956472260898038631420034941469125892347066566416742519309495457378818583775642048219297237962850304) (+ f64 (* f64 h1 (/ f64 h3 (- f64 h4 h2))) (- f64 (+ f64 h0 (* f64 h0 (/ f64 h2 (- f64 h4 h2)))) (+ f64 (* f64 h2 (/ f64 h3 (- f64 h4 h2))) (* f64 h0 (/ f64 h1 (- f64 h4 h2)))))) (if real (<= f64 (+ f64 h0 (/ f64 (* f64 (- f64 h1 h2) (- f64 h3 h0)) (- f64 h4 h2))) 0) (- f64 (+ f64 h3 (+ f64 (/ f64 (* f64 h0 h1) h2) (/ f64 (* f64 h3 h4) h2))) (+ f64 (/ f64 (* f64 h0 h4) h2) (/ f64 (* f64 h1 h3) h2))) (if real (<= f64 (+ f64 h0 (/ f64 (* f64 (- f64 h1 h2) (- f64 h3 h0)) (- f64 h4 h2))) 1148576243067455866262329318104629074985349418267509077261441525051050309139515931524858616038823686807935930579604504110976949181427064121047342943327299413164029968097396449107665231370574116941925494433084819311579826704835349708959013857348737058513061627528512033902805640380952872757161493770838999040) (- f64 (+ f64 (/ f64 (* f64 h1 h3) (- f64 h4 h2)) (+ f64 h0 (/ f64 (* f64 h0 h2) (- f64 h4 h2)))) (+ f64 (/ f64 (* f64 h0 h1) (- f64 h4 h2)) (/ f64 (* f64 h2 h3) (- f64 h4 h2)))) (- f64 (* f64 h1 (/ f64 h3 (- f64 h4 h2))) (+ f64 (+ f64 (* f64 h2 (/ f64 h3 (- f64 h4 h2))) (* f64 h0 (/ f64 h1 (- f64 h4 h2)))) (* f64 h0 (+ f64 (/ f64 h4 h2) (* f64 (/ f64 h4 h2) (/ f64 h4 h2)))))))))

end0.0ms (0%)

sample2.7s (12%)

Algorithm

1×

intervals

Results

270.0ms	6712×	body	128	valid
58.0ms	363×	body	1024	valid
51.0ms	491×	body	512	valid
48.0ms	1190×	body	128	invalid
26.0ms	362×	body	256	valid
13.0ms	72×	body	2048	valid

Compiler

Compiled 2898 to 1870 computations (35.5% saved)

Details

analyze1.3s (5.6%)

sample31.0ms (0.1%)

simplify552.0ms (2.4%)

prune13.0ms (0.1%)

localize9.0ms (0%)

rewrite426.0ms (1.9%)

series2.5s (11%)

simplify941.0ms (4.1%)

prune885.0ms (3.9%)

localize16.0ms (0.1%)

rewrite215.0ms (0.9%)

series1.0s (4.5%)

simplify308.0ms (1.4%)

prune564.0ms (2.5%)

localize10.0ms (0%)

rewrite173.0ms (0.8%)

series2.4s (10.7%)

simplify976.0ms (4.3%)

prune421.0ms (1.9%)

localize11.0ms (0.1%)

rewrite397.0ms (1.8%)

series2.5s (11%)

simplify942.0ms (4.2%)

prune915.0ms (4%)

regimes2.4s (10.5%)

bsearch7.0ms (0%)

simplify41.0ms (0.2%)

end0.0ms (0%)

sample2.7s (12%)

Profiling