Details

analyze996.0ms (6.5%)

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
3.5%	96.2%	0.2%	10
9.8%	89.9%	0.2%	11
14.1%	85.7%	0.2%	12
22.6%	77.1%	0.2%	13
23.7%	76%	0.2%	14

Compiler

Compiled 14 to 12 computations (14.3% saved)

sample28.0ms (0.2%)

Algorithm

1×

intervals

Results

9.0ms	219×	body	128	valid
2.0ms	17×	body	512	valid
2.0ms	12×	body	1024	valid
1.0ms	15×	body	128	invalid
1.0ms	3×	body	2048	valid
0.0ms	5×	body	256	valid

Compiler

Compiled 27 to 28 computations (-3.7% saved)

simplify452.0ms (3%)

Algorithm

1×	egg-herbie

Rules

839×	`exp-prod_binary64_10701`
438×	`times-frac_binary64_10655`
250×	`distribute-frac-neg_binary64_10612`
248×	`sub-neg_binary64_10642`
241×	`unsub-neg_binary64_10643`
239×	`*-commutative_binary64_10580`
216×	`associate-/l*_binary64_10594`
215×	`cancel-sign-sub-inv_binary64_10615`
211×	`div-sub_binary64_10654`
187×	`distribute-rgt-neg-out_binary64_10609`
167×	`distribute-neg-frac_binary64_10613`
150×	`associate-/r*_binary64_10593`
144×	`distribute-lft-neg-out_binary64_10608`
143×	`swap-sqr_binary64_10616` `distribute-rgt-neg-in_binary64_10607`
133×	`distribute-rgt-in_binary64_10599`
131×	`exp-diff_binary64_10697`
127×	`exp-sum_binary64_10695`
120×	`cube-div_binary64_10678`
106×	`neg-mul-1_binary64_10645`
99×	`associate-r_binary64_10589`
96×	`distribute-lft-neg-in_binary64_10606`
95×	`distribute-neg-in_binary64_10610`
90×	`distribute-lft-in_binary64_10598`
84×	`distribute-rgt1-in_binary64_10605`
78×	`associate--r+_binary64_10585`
76×	`associate-+l-_binary64_10584`
74×	`neg-sub0_binary64_10644`
59×	`+-commutative_binary64_10579`
57×	`pow-plus_binary64_10712`
56×	`associate--l-_binary64_10587`
55×	`associate-l_binary64_10590`
52×	`associate--r-_binary64_10588`
51×	`associate-/l/_binary64_10596`
49×	`distribute-rgt-out_binary64_10602`
45×	`associate--l+_binary64_10586`
44×	`exp-neg_binary64_10696` `distribute-neg-out_binary64_10611`
40×	`associate-+r-_binary64_10583`
36×	`distribute-rgt-out--_binary64_10603`
34×	`associate-+r+_binary64_10581`
27×	`remove-double-neg_binary64_10637`
26×	`associate-/r/_binary64_10595`
22×	`sub0-neg_binary64_10636` `mul0-lft_binary64_10631` `div0_binary64_10630`
20×	`exp-lft-sqr_binary64_10704` `mul0-rgt_binary64_10632` `associate-+l+_binary64_10582`
15×	`associate-*l/_binary64_10592`
13×	`+-rgt-identity_binary64_10634` `+-lft-identity_binary64_10633`
12×	`--rgt-identity_binary64_10635`
8×	`distribute-lft-out_binary64_10600`
7×	`distribute-lft-out--_binary64_10601`
6×	`sqr-neg_binary64_10663`
5×	`*-inverses_binary64_10629` `sqr-pow_binary64_10621`
4×	`cube-unmult_binary64_10686` `count-2_binary64_10597`
3×	`+-inverses_binary64_10628` `associate-*r/_binary64_10591`
2×	`-rgt-identity_binary64_10639` `-lft-identity_binary64_10638` `pow-sqr_binary64_10622` `distribute-lft1-in_binary64_10604`
1×	`pow-base-1_binary64_10709` `1-exp_binary64_10693` `exp-1-e_binary64_10692` `difference-of-sqr--1_binary64_10620`
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_10912` `erf-erfc_binary64_10911` `erf-odd_binary64_10910` `if-if-and-not_binary64_10909` `if-if-and_binary64_10908` `if-if-or-not_binary64_10907` `if-if-or_binary64_10906` `if-not_binary64_10905` `if-same_binary64_10904` `if-false_binary64_10903` `if-true_binary64_10902` `not-gte_binary64_10901` `not-lte_binary64_10900` `not-gt_binary64_10899` `not-lt_binary64_10898` `gte-same_binary64_10897` `lte-same_binary64_10896` `gt-same_binary64_10895` `lt-same_binary64_10894` `sinh---cosh_binary64_10841` `sinh-+-cosh_binary64_10840` `sinh-cosh_binary64_10839` `tanh-def-c_binary64_10838` `tanh-def-b_binary64_10837` `tanh-def-a_binary64_10836` `cosh-def_binary64_10835` `sinh-def_binary64_10834` `tan-neg_binary64_10781` `cos-neg_binary64_10780` `sin-neg_binary64_10779` `tan-0_binary64_10778` `cos-0_binary64_10777` `sin-0_binary64_10776` `hang-m-tan_binary64_10775` `hang-p-tan_binary64_10774` `hang-m0-tan_binary64_10773` `hang-p0-tan_binary64_10772` `hang-0m-tan_binary64_10771` `hang-0p-tan_binary64_10770` `tan-+PI/2_binary64_10769` `tan-+PI_binary64_10768` `tan-PI_binary64_10767` `tan-PI/3_binary64_10766` `tan-PI/4_binary64_10765` `tan-PI/6_binary64_10764` `cos-+PI/2_binary64_10763` `cos-+PI_binary64_10762` `cos-PI_binary64_10761` `cos-PI/2_binary64_10760` `cos-PI/3_binary64_10759` `cos-PI/4_binary64_10758` `cos-PI/6_binary64_10757` `sin-+PI/2_binary64_10756` `sin-+PI_binary64_10755` `sin-PI_binary64_10754` `sin-PI/2_binary64_10753` `sin-PI/3_binary64_10752` `sin-PI/4_binary64_10751` `sin-PI/6_binary64_10750` `sub-1-sin_binary64_10749` `sub-1-cos_binary64_10748` `-1-add-sin_binary64_10747` `-1-add-cos_binary64_10746` `1-sub-sin_binary64_10745` `1-sub-cos_binary64_10744` `cos-sin-sum_binary64_10743` `log-E_binary64_10739` `log-pow_binary64_10738` `log-rec_binary64_10737` `log-div_binary64_10736` `log-prod_binary64_10735` `pow-base-0_binary64_10733` `unpow1/3_binary64_10716` `unpow3_binary64_10715` `unpow2_binary64_10714` `unpow1/2_binary64_10713` `exp-to-pow_binary64_10711` `unpow0_binary64_10708` `unpow1_binary64_10707` `unpow-1_binary64_10706` `exp-lft-cube_binary64_10705` `exp-cbrt_binary64_10703` `exp-sqrt_binary64_10702` `div-exp_binary64_10700` `rec-exp_binary64_10699` `prod-exp_binary64_10698` `e-exp-1_binary64_10694` `exp-0_binary64_10691` `rem-log-exp_binary64_10690` `rem-exp-log_binary64_10689` `cube-mult_binary64_10679` `cube-prod_binary64_10677` `cube-neg_binary64_10676` `rem-3cbrt-rft_binary64_10675` `rem-3cbrt-lft_binary64_10674` `rem-cbrt-cube_binary64_10673` `rem-cube-cbrt_binary64_10672` `sqr-abs_binary64_10664` `rem-sqrt-square_binary64_10662` `rem-square-sqrt_binary64_10661` `mul-1-neg_binary64_10641` `/-rgt-identity_binary64_10640` `lft-mult-inverse_binary64_10627` `rgt-mult-inverse_binary64_10626` `remove-double-div_binary64_10625` `difference-of-sqr-1_binary64_10619` `difference-of-squares_binary64_10618` `unswap-sqr_binary64_10617` `cancel-sign-sub_binary64_10614`

Counts

1 → 6

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	19
1	23	19
2	58	19
3	141	19
4	322	19
5	872	19
6	2379	19
7	3686	19

prune12.0ms (0.1%)

Pruning

4 alts after pruning (4 fresh and 0 done)

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

Error

6.3b

Counts

7 → 4

Compiler

Compiled 130 to 71 computations (45.4% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (+.f64 y (*.f64 (/.f64 y (-.f64 a t)) (-.f64 t z))))
0.0b	(/.f64 y (-.f64 a t))
2.7b	(+.f64 y (*.f64 (/.f64 y (-.f64 a t)) (-.f64 t z)))
11.1b	(*.f64 (/.f64 y (-.f64 a t)) (-.f64 t z))

rewrite189.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

3.0b

Rules

49×	`add-sqr-sqrt_binary64_10671`
46×	`*-un-lft-identity_binary64_10649`
31×	`times-frac_binary64_10655`
28×	`add-cube-cbrt_binary64_10684`
21×	`associate-l_binary64_10590`
12×	`cancel-sign-sub-inv_binary64_10615`
11×	`add-exp-log_binary64_10687` `add-log-exp_binary64_10688` `add-cbrt-cube_binary64_10685`
9×	`associate-+r+_binary64_10581`
8×	`distribute-rgt-in_binary64_10599` `distribute-lft-in_binary64_10598` `difference-of-squares_binary64_10618` `distribute-lft-out--_binary64_10601`
6×	`pow1_binary64_10710`
5×	`associate-r_binary64_10589` `associate-/r*_binary64_10593`
4×	`flip3--_binary64_10653` `flip--_binary64_10624` `sub-neg_binary64_10642` `associate-/r/_binary64_10595` `sum-log_binary64_10740`
3×	`associate-/l*_binary64_10594`
2×	`div-exp_binary64_10700` `prod-exp_binary64_10698` `cbrt-unprod_binary64_10682` `cbrt-undiv_binary64_10683` `frac-times_binary64_10659` `unswap-sqr_binary64_10617` `associate-*r/_binary64_10591` `div-inv_binary64_10646` `flip3-+_binary64_10652` `flip-+_binary64_10623` `+-commutative_binary64_10579`
1×	`pow-prod-down_binary64_10720` `associate-l/_binary64_10592` `-commutative_binary64_10580` `frac-2neg_binary64_10660` `clear-num_binary64_10648` `distribute-lft-out_binary64_10600`

Counts

4 → 124

Calls

4 calls:

15.0ms	(*.f64 (/.f64 y (-.f64 a t)) (-.f64 t z))
6.0ms	(/.f64 y (-.f64 a t))
5.0ms	(+.f64 x (+.f64 y (*.f64 (/.f64 y (-.f64 a t)) (-.f64 t z))))
5.0ms	(+.f64 y (*.f64 (/.f64 y (-.f64 a t)) (-.f64 t z)))

Compiler

Compiled 2793 to 644 computations (76.9% saved)

series2.0s (12.8%)

Error

1.0b

Counts

4 → 107

Calls

4 calls:

719.0ms	(+.f64 x (+.f64 y (*.f64 (/.f64 y (-.f64 a t)) (-.f64 t z))))
562.0ms	(+.f64 y (*.f64 (/.f64 y (-.f64 a t)) (-.f64 t z)))
391.0ms	(*.f64 (/.f64 y (-.f64 a t)) (-.f64 t z))
177.0ms	(/.f64 y (-.f64 a t))

Compiler

Compiled 5755 to 3321 computations (42.3% saved)

simplify794.0ms (5.2%)

Algorithm

1×	egg-herbie

Rules

602×	`cancel-sign-sub-inv_binary64_10615`
354×	`associate-/r*_binary64_10593`
338×	`sub-neg_binary64_10642`
254×	`associate-/r/_binary64_10595`
207×	`associate-/l/_binary64_10596`
137×	`associate--l+_binary64_10586`
136×	`+-commutative_binary64_10579`
128×	`associate-/l_binary64_10594` `associate-l*_binary64_10590`
127×	`*-commutative_binary64_10580`
117×	`associate-r_binary64_10589`
116×	`distribute-lft-neg-out_binary64_10608` `associate--r+_binary64_10585`
114×	`distribute-rgt-neg-in_binary64_10607`
112×	`distribute-rgt-in_binary64_10599`
104×	`associate-*l/_binary64_10592`
98×	`distribute-lft-in_binary64_10598`
94×	`distribute-neg-frac_binary64_10613`
90×	`distribute-rgt-neg-out_binary64_10609`
89×	`times-frac_binary64_10655` `distribute-lft-neg-in_binary64_10606`
83×	`associate-+l+_binary64_10582`
80×	`neg-sub0_binary64_10644`
74×	`distribute-neg-in_binary64_10610`
71×	`neg-mul-1_binary64_10645`
65×	`div-sub_binary64_10654` `associate-*r/_binary64_10591`
61×	`distribute-rgt-out_binary64_10602`
60×	`associate-+r+_binary64_10581`
57×	`unsub-neg_binary64_10643`
54×	`sqr-pow_binary64_10621`
36×	`distribute-rgt-out--_binary64_10603`
28×	`unswap-sqr_binary64_10617`
25×	`*-rgt-identity_binary64_10639`
23×	`pow-sqr_binary64_10622`
17×	`cube-prod_binary64_10677`
16×	`exp-sum_binary64_10695`
15×	`*-lft-identity_binary64_10638`
14×	`log-div_binary64_10736` `log-prod_binary64_10735` `prod-exp_binary64_10698` `cube-div_binary64_10678` `difference-of-squares_binary64_10618`
13×	`swap-sqr_binary64_10616` `distribute-rgt1-in_binary64_10605`
12×	`unpow3_binary64_10715` `exp-prod_binary64_10701`
9×	`div-exp_binary64_10700` `cube-mult_binary64_10679` `mul-1-neg_binary64_10641`
6×	`pow-plus_binary64_10712` `/-rgt-identity_binary64_10640`
5×	`exp-diff_binary64_10697` `distribute-frac-neg_binary64_10612` `distribute-lft-out_binary64_10600`
4×	`associate-+r-_binary64_10583`
3×	`rec-exp_binary64_10699` `cube-unmult_binary64_10686` `distribute-lft-out--_binary64_10601` `associate-+l-_binary64_10584`
2×	`unpow2_binary64_10714` `unpow1_binary64_10707`
1×	`log-rec_binary64_10737` `exp-sqrt_binary64_10702` `1-exp_binary64_10693` `exp-1-e_binary64_10692` `rem-log-exp_binary64_10690` `rem-3cbrt-lft_binary64_10674` `rem-sqrt-square_binary64_10662` `rem-square-sqrt_binary64_10661` `remove-double-neg_binary64_10637` `+-rgt-identity_binary64_10634` `div0_binary64_10630` `*-inverses_binary64_10629` `distribute-lft1-in_binary64_10604` `associate--r-_binary64_10588`
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_10912` `erf-erfc_binary64_10911` `erf-odd_binary64_10910` `if-if-and-not_binary64_10909` `if-if-and_binary64_10908` `if-if-or-not_binary64_10907` `if-if-or_binary64_10906` `if-not_binary64_10905` `if-same_binary64_10904` `if-false_binary64_10903` `if-true_binary64_10902` `not-gte_binary64_10901` `not-lte_binary64_10900` `not-gt_binary64_10899` `not-lt_binary64_10898` `gte-same_binary64_10897` `lte-same_binary64_10896` `gt-same_binary64_10895` `lt-same_binary64_10894` `sinh---cosh_binary64_10841` `sinh-+-cosh_binary64_10840` `sinh-cosh_binary64_10839` `tanh-def-c_binary64_10838` `tanh-def-b_binary64_10837` `tanh-def-a_binary64_10836` `cosh-def_binary64_10835` `sinh-def_binary64_10834` `tan-neg_binary64_10781` `cos-neg_binary64_10780` `sin-neg_binary64_10779` `tan-0_binary64_10778` `cos-0_binary64_10777` `sin-0_binary64_10776` `hang-m-tan_binary64_10775` `hang-p-tan_binary64_10774` `hang-m0-tan_binary64_10773` `hang-p0-tan_binary64_10772` `hang-0m-tan_binary64_10771` `hang-0p-tan_binary64_10770` `tan-+PI/2_binary64_10769` `tan-+PI_binary64_10768` `tan-PI_binary64_10767` `tan-PI/3_binary64_10766` `tan-PI/4_binary64_10765` `tan-PI/6_binary64_10764` `cos-+PI/2_binary64_10763` `cos-+PI_binary64_10762` `cos-PI_binary64_10761` `cos-PI/2_binary64_10760` `cos-PI/3_binary64_10759` `cos-PI/4_binary64_10758` `cos-PI/6_binary64_10757` `sin-+PI/2_binary64_10756` `sin-+PI_binary64_10755` `sin-PI_binary64_10754` `sin-PI/2_binary64_10753` `sin-PI/3_binary64_10752` `sin-PI/4_binary64_10751` `sin-PI/6_binary64_10750` `sub-1-sin_binary64_10749` `sub-1-cos_binary64_10748` `-1-add-sin_binary64_10747` `-1-add-cos_binary64_10746` `1-sub-sin_binary64_10745` `1-sub-cos_binary64_10744` `cos-sin-sum_binary64_10743` `log-E_binary64_10739` `log-pow_binary64_10738` `pow-base-0_binary64_10733` `unpow1/3_binary64_10716` `unpow1/2_binary64_10713` `exp-to-pow_binary64_10711` `pow-base-1_binary64_10709` `unpow0_binary64_10708` `unpow-1_binary64_10706` `exp-lft-cube_binary64_10705` `exp-lft-sqr_binary64_10704` `exp-cbrt_binary64_10703` `exp-neg_binary64_10696` `e-exp-1_binary64_10694` `exp-0_binary64_10691` `rem-exp-log_binary64_10689` `cube-neg_binary64_10676` `rem-3cbrt-rft_binary64_10675` `rem-cbrt-cube_binary64_10673` `rem-cube-cbrt_binary64_10672` `sqr-abs_binary64_10664` `sqr-neg_binary64_10663` `sub0-neg_binary64_10636` `--rgt-identity_binary64_10635` `+-lft-identity_binary64_10633` `mul0-rgt_binary64_10632` `mul0-lft_binary64_10631` `+-inverses_binary64_10628` `lft-mult-inverse_binary64_10627` `rgt-mult-inverse_binary64_10626` `remove-double-div_binary64_10625` `difference-of-sqr--1_binary64_10620` `difference-of-sqr-1_binary64_10619` `cancel-sign-sub_binary64_10614` `distribute-neg-out_binary64_10611` `count-2_binary64_10597` `associate--l-_binary64_10587`

Counts

231 → 586

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	329	4941
1	934	4593
2	3140	4386

prune586.0ms (3.8%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	577	9	586
Fresh	3	0	3
Picked	1	0	1
Done	0	0	0
Total	581	9	590

Error

0.0b

Counts

590 → 9

Compiler

Compiled 14848 to 2233 computations (85% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 z (-.f64 a t))
0.0b	(/.f64 t (-.f64 a t))
1.7b	(+.f64 (/.f64 t (-.f64 a t)) 1)
3.1b	(*.f64 (neg.f64 y) (-.f64 (/.f64 z (-.f64 a t)) (+.f64 (/.f64 t (-.f64 a t)) 1)))

rewrite206.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

57×	`*-un-lft-identity_binary64_10649`
53×	`add-sqr-sqrt_binary64_10671`
31×	`times-frac_binary64_10655`
30×	`add-cube-cbrt_binary64_10684`
10×	`add-exp-log_binary64_10687` `add-cbrt-cube_binary64_10685` `associate-l_binary64_10590` `difference-of-squares_binary64_10618` `distribute-lft-out--_binary64_10601` `associate-/r*_binary64_10593`
8×	`cancel-sign-sub-inv_binary64_10615`
7×	`associate-r_binary64_10589`
6×	`pow1_binary64_10710` `add-log-exp_binary64_10688` `associate-/l*_binary64_10594`
5×	`distribute-rgt-in_binary64_10599` `distribute-lft-in_binary64_10598`
4×	`distribute-lft-out_binary64_10600` `associate-*r/_binary64_10591` `associate-/r/_binary64_10595`
3×	`flip3--_binary64_10653` `flip--_binary64_10624` `distribute-rgt-neg-in_binary64_10607` `distribute-lft-neg-in_binary64_10606`
2×	`sub-neg_binary64_10642` `flip3-+_binary64_10652` `frac-sub_binary64_10658` `flip-+_binary64_10623` `div-exp_binary64_10700` `cbrt-undiv_binary64_10683` `frac-2neg_binary64_10660` `clear-num_binary64_10648` `div-inv_binary64_10646`
1×	`pow-prod-down_binary64_10720` `prod-exp_binary64_10698` `cbrt-unprod_binary64_10682` `unswap-sqr_binary64_10617` `distribute-lft-neg-out_binary64_10608` `neg-mul-1_binary64_10645` `*-commutative_binary64_10580` `sum-log_binary64_10740` `+-commutative_binary64_10579`

Counts

4 → 130

Calls

4 calls:

30.0ms	(*.f64 (neg.f64 y) (-.f64 (/.f64 z (-.f64 a t)) (+.f64 (/.f64 t (-.f64 a t)) 1)))
11.0ms	(+.f64 (/.f64 t (-.f64 a t)) 1)
5.0ms	(/.f64 t (-.f64 a t))
5.0ms	(/.f64 z (-.f64 a t))

Compiler

Compiled 3569 to 1171 computations (67.2% saved)

series1.2s (7.7%)

Error

0.0b

Counts

4 → 78

Calls

4 calls:

668.0ms	(*.f64 (neg.f64 y) (-.f64 (/.f64 z (-.f64 a t)) (+.f64 (/.f64 t (-.f64 a t)) 1)))
184.0ms	(/.f64 z (-.f64 a t))
140.0ms	(+.f64 (/.f64 t (-.f64 a t)) 1)
96.0ms	(/.f64 t (-.f64 a t))

Compiler

Compiled 4538 to 2920 computations (35.7% saved)

simplify770.0ms (5%)

Algorithm

1×	egg-herbie

Rules

632×	`distribute-rgt-in_binary64_10599`
325×	`cancel-sign-sub-inv_binary64_10615`
233×	`distribute-rgt-neg-out_binary64_10609`
230×	`distribute-lft-neg-out_binary64_10608`
193×	`sub-neg_binary64_10642`
153×	`associate-l_binary64_10590`
148×	`distribute-rgt-neg-in_binary64_10607`
142×	`associate-r_binary64_10589`
137×	`neg-sub0_binary64_10644` `associate-/l*_binary64_10594`
120×	`distribute-neg-in_binary64_10610`
116×	`neg-mul-1_binary64_10645`
115×	`times-frac_binary64_10655`
109×	`distribute-lft-neg-in_binary64_10606`
105×	`*-commutative_binary64_10580`
80×	`distribute-neg-frac_binary64_10613`
78×	`+-commutative_binary64_10579`
75×	`distribute-lft-in_binary64_10598`
69×	`unsub-neg_binary64_10643`
63×	`associate-/l/_binary64_10596`
58×	`div-sub_binary64_10654`
57×	`associate-/r/_binary64_10595`
56×	`sqr-pow_binary64_10621` `associate-/r*_binary64_10593`
55×	`associate-*l/_binary64_10592`
49×	`associate--l+_binary64_10586` `associate--r+_binary64_10585`
43×	`*-rgt-identity_binary64_10639`
36×	`log-prod_binary64_10735` `associate-+l+_binary64_10582`
34×	`distribute-rgt-out_binary64_10602`
32×	`distribute-rgt-out--_binary64_10603` `associate-*r/_binary64_10591`
30×	`exp-prod_binary64_10701` `*-lft-identity_binary64_10638`
25×	`cube-prod_binary64_10677` `pow-sqr_binary64_10622`
23×	`associate-+r+_binary64_10581`
22×	`div-exp_binary64_10700`
21×	`swap-sqr_binary64_10616`
17×	`prod-exp_binary64_10698` `distribute-rgt1-in_binary64_10605`
14×	`log-div_binary64_10736`
13×	`/-rgt-identity_binary64_10640`
12×	`pow-plus_binary64_10712` `mul-1-neg_binary64_10641`
11×	`cube-div_binary64_10678` `difference-of-squares_binary64_10618`
9×	`unswap-sqr_binary64_10617` `distribute-lft-out_binary64_10600` `associate-+r-_binary64_10583`
8×	`unpow3_binary64_10715` `+-rgt-identity_binary64_10634`
7×	`exp-sum_binary64_10695` `cube-unmult_binary64_10686`
6×	`exp-diff_binary64_10697` `cube-mult_binary64_10679`
5×	`log-pow_binary64_10738` `remove-double-neg_binary64_10637`
4×	`rec-exp_binary64_10699` `sqr-neg_binary64_10663` `distribute-frac-neg_binary64_10612`
3×	`pow-base-1_binary64_10709`
2×	`unpow2_binary64_10714` `unpow1_binary64_10707` `exp-neg_binary64_10696` `*-inverses_binary64_10629` `distribute-neg-out_binary64_10611` `distribute-lft1-in_binary64_10604`
1×	`log-rec_binary64_10737` `exp-sqrt_binary64_10702` `1-exp_binary64_10693` `exp-1-e_binary64_10692` `rem-log-exp_binary64_10690` `rem-3cbrt-lft_binary64_10674` `rem-sqrt-square_binary64_10662` `rem-square-sqrt_binary64_10661` `div0_binary64_10630` `cancel-sign-sub_binary64_10614` `distribute-lft-out--_binary64_10601` `associate--r-_binary64_10588` `associate-+l-_binary64_10584`
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_10912` `erf-erfc_binary64_10911` `erf-odd_binary64_10910` `if-if-and-not_binary64_10909` `if-if-and_binary64_10908` `if-if-or-not_binary64_10907` `if-if-or_binary64_10906` `if-not_binary64_10905` `if-same_binary64_10904` `if-false_binary64_10903` `if-true_binary64_10902` `not-gte_binary64_10901` `not-lte_binary64_10900` `not-gt_binary64_10899` `not-lt_binary64_10898` `gte-same_binary64_10897` `lte-same_binary64_10896` `gt-same_binary64_10895` `lt-same_binary64_10894` `sinh---cosh_binary64_10841` `sinh-+-cosh_binary64_10840` `sinh-cosh_binary64_10839` `tanh-def-c_binary64_10838` `tanh-def-b_binary64_10837` `tanh-def-a_binary64_10836` `cosh-def_binary64_10835` `sinh-def_binary64_10834` `tan-neg_binary64_10781` `cos-neg_binary64_10780` `sin-neg_binary64_10779` `tan-0_binary64_10778` `cos-0_binary64_10777` `sin-0_binary64_10776` `hang-m-tan_binary64_10775` `hang-p-tan_binary64_10774` `hang-m0-tan_binary64_10773` `hang-p0-tan_binary64_10772` `hang-0m-tan_binary64_10771` `hang-0p-tan_binary64_10770` `tan-+PI/2_binary64_10769` `tan-+PI_binary64_10768` `tan-PI_binary64_10767` `tan-PI/3_binary64_10766` `tan-PI/4_binary64_10765` `tan-PI/6_binary64_10764` `cos-+PI/2_binary64_10763` `cos-+PI_binary64_10762` `cos-PI_binary64_10761` `cos-PI/2_binary64_10760` `cos-PI/3_binary64_10759` `cos-PI/4_binary64_10758` `cos-PI/6_binary64_10757` `sin-+PI/2_binary64_10756` `sin-+PI_binary64_10755` `sin-PI_binary64_10754` `sin-PI/2_binary64_10753` `sin-PI/3_binary64_10752` `sin-PI/4_binary64_10751` `sin-PI/6_binary64_10750` `sub-1-sin_binary64_10749` `sub-1-cos_binary64_10748` `-1-add-sin_binary64_10747` `-1-add-cos_binary64_10746` `1-sub-sin_binary64_10745` `1-sub-cos_binary64_10744` `cos-sin-sum_binary64_10743` `log-E_binary64_10739` `pow-base-0_binary64_10733` `unpow1/3_binary64_10716` `unpow1/2_binary64_10713` `exp-to-pow_binary64_10711` `unpow0_binary64_10708` `unpow-1_binary64_10706` `exp-lft-cube_binary64_10705` `exp-lft-sqr_binary64_10704` `exp-cbrt_binary64_10703` `e-exp-1_binary64_10694` `exp-0_binary64_10691` `rem-exp-log_binary64_10689` `cube-neg_binary64_10676` `rem-3cbrt-rft_binary64_10675` `rem-cbrt-cube_binary64_10673` `rem-cube-cbrt_binary64_10672` `sqr-abs_binary64_10664` `sub0-neg_binary64_10636` `--rgt-identity_binary64_10635` `+-lft-identity_binary64_10633` `mul0-rgt_binary64_10632` `mul0-lft_binary64_10631` `+-inverses_binary64_10628` `lft-mult-inverse_binary64_10627` `rgt-mult-inverse_binary64_10626` `remove-double-div_binary64_10625` `difference-of-sqr--1_binary64_10620` `difference-of-sqr-1_binary64_10619` `count-2_binary64_10597` `associate--l-_binary64_10587`

Counts

208 → 451

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	310	3962
1	846	3830
2	2774	3559

prune510.0ms (3.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	450	1	451
Fresh	2	6	8
Picked	0	1	1
Done	0	0	0
Total	452	8	460

Error

0.0b

Counts

460 → 8

Compiler

Compiled 11790 to 2995 computations (74.6% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (+.f64 y (neg.f64 (/.f64 z (/.f64 (-.f64 a t) y)))))
0.0b	(/.f64 (-.f64 a t) y)
6.5b	(/.f64 z (/.f64 (-.f64 a t) y))

rewrite219.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

132×	`times-frac_binary64_10655`
109×	`*-un-lft-identity_binary64_10649`
101×	`add-sqr-sqrt_binary64_10671`
69×	`add-cube-cbrt_binary64_10684`
22×	`associate-/r*_binary64_10593`
16×	`difference-of-squares_binary64_10618` `distribute-lft-out--_binary64_10601`
11×	`add-log-exp_binary64_10688`
10×	`add-exp-log_binary64_10687` `add-cbrt-cube_binary64_10685`
8×	`associate-/l*_binary64_10594`
6×	`div-inv_binary64_10646`
5×	`sum-log_binary64_10740` `distribute-lft-out_binary64_10600`
4×	`div-exp_binary64_10700` `cbrt-undiv_binary64_10683`
3×	`pow1_binary64_10710` `associate-+r-_binary64_10583`
2×	`frac-2neg_binary64_10660` `clear-num_binary64_10648` `associate-/l/_binary64_10596`
1×	`associate-/r/_binary64_10595` `div-sub_binary64_10654` `flip3--_binary64_10653` `flip--_binary64_10624` `neg-log_binary64_10742` `flip3-+_binary64_10652` `flip-+_binary64_10623` `distribute-rgt-neg-in_binary64_10607` `unsub-neg_binary64_10643` `neg-sub0_binary64_10644` `associate-+r+_binary64_10581` `+-commutative_binary64_10579`

Counts

3 → 151

Calls

3 calls:

35.0ms	(+.f64 x (+.f64 y (neg.f64 (/.f64 z (/.f64 (-.f64 a t) y)))))
11.0ms	(/.f64 z (/.f64 (-.f64 a t) y))
6.0ms	(/.f64 (-.f64 a t) y)

Compiler

Compiled 3341 to 983 computations (70.6% saved)

series873.0ms (5.7%)

Error

0.0b

Counts

3 → 67

Calls

3 calls:

424.0ms	(+.f64 x (+.f64 y (neg.f64 (/.f64 z (/.f64 (-.f64 a t) y)))))
244.0ms	(/.f64 z (/.f64 (-.f64 a t) y))
167.0ms	(/.f64 (-.f64 a t) y)

Compiler

Compiled 2236 to 1417 computations (36.6% saved)

simplify367.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

549×	`distribute-rgt-in_binary64_10599`
500×	`distribute-lft-in_binary64_10598`
393×	`associate-/r*_binary64_10593`
370×	`associate-r_binary64_10589`
186×	`associate-/r/_binary64_10595`
166×	`associate-/l/_binary64_10596`
154×	`associate-/l*_binary64_10594`
130×	`*-commutative_binary64_10580`
126×	`associate-+l+_binary64_10582`
117×	`associate-*l/_binary64_10592`
113×	`associate-+r+_binary64_10581`
96×	`cancel-sign-sub-inv_binary64_10615`
90×	`sub-neg_binary64_10642`
76×	`associate-*r/_binary64_10591`
66×	`div-sub_binary64_10654`
61×	`times-frac_binary64_10655`
55×	`associate--r+_binary64_10585`
51×	`distribute-neg-frac_binary64_10613`
50×	`neg-sub0_binary64_10644`
46×	`distribute-rgt-neg-in_binary64_10607` `distribute-lft-neg-in_binary64_10606`
44×	`associate--l+_binary64_10586`
43×	`/-rgt-identity_binary64_10640`
42×	`neg-mul-1_binary64_10645` `distribute-neg-in_binary64_10610`
40×	`-rgt-identity_binary64_10639` `associate-l*_binary64_10590`
37×	`associate-+l-_binary64_10584` `+-commutative_binary64_10579`
34×	`unsub-neg_binary64_10643`
33×	`prod-exp_binary64_10698`
32×	`mul0-lft_binary64_10631`
31×	`mul0-rgt_binary64_10632` `distribute-lft-neg-out_binary64_10608`
27×	`div-exp_binary64_10700` `distribute-rgt-neg-out_binary64_10609`
24×	`sqr-pow_binary64_10621`
19×	`associate-+r-_binary64_10583`
17×	`log-div_binary64_10736` `exp-sum_binary64_10695`
12×	`unswap-sqr_binary64_10617` `swap-sqr_binary64_10616` `distribute-rgt-out--_binary64_10603`
11×	`log-prod_binary64_10735` `exp-prod_binary64_10701`
10×	`mul-1-neg_binary64_10641` `remove-double-neg_binary64_10637`
9×	`pow-sqr_binary64_10622` `associate--r-_binary64_10588`
7×	`cube-unmult_binary64_10686` `cube-div_binary64_10678` `distribute-rgt-out_binary64_10602`
6×	`exp-diff_binary64_10697` `*-lft-identity_binary64_10638` `associate--l-_binary64_10587`
5×	`rec-exp_binary64_10699` `cube-prod_binary64_10677` `+-rgt-identity_binary64_10634`
3×	`+-lft-identity_binary64_10633` `remove-double-div_binary64_10625` `distribute-rgt1-in_binary64_10605`
2×	`unpow3_binary64_10715` `unpow2_binary64_10714` `unpow1_binary64_10707` `cube-mult_binary64_10679` `div0_binary64_10630`
1×	`log-pow_binary64_10738` `log-rec_binary64_10737` `pow-plus_binary64_10712` `1-exp_binary64_10693` `rem-log-exp_binary64_10690` `sqr-neg_binary64_10663` `--rgt-identity_binary64_10635` `*-inverses_binary64_10629` `difference-of-squares_binary64_10618` `distribute-neg-out_binary64_10611` `distribute-lft1-in_binary64_10604` `distribute-lft-out_binary64_10600` `count-2_binary64_10597`
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_10912` `erf-erfc_binary64_10911` `erf-odd_binary64_10910` `if-if-and-not_binary64_10909` `if-if-and_binary64_10908` `if-if-or-not_binary64_10907` `if-if-or_binary64_10906` `if-not_binary64_10905` `if-same_binary64_10904` `if-false_binary64_10903` `if-true_binary64_10902` `not-gte_binary64_10901` `not-lte_binary64_10900` `not-gt_binary64_10899` `not-lt_binary64_10898` `gte-same_binary64_10897` `lte-same_binary64_10896` `gt-same_binary64_10895` `lt-same_binary64_10894` `sinh---cosh_binary64_10841` `sinh-+-cosh_binary64_10840` `sinh-cosh_binary64_10839` `tanh-def-c_binary64_10838` `tanh-def-b_binary64_10837` `tanh-def-a_binary64_10836` `cosh-def_binary64_10835` `sinh-def_binary64_10834` `tan-neg_binary64_10781` `cos-neg_binary64_10780` `sin-neg_binary64_10779` `tan-0_binary64_10778` `cos-0_binary64_10777` `sin-0_binary64_10776` `hang-m-tan_binary64_10775` `hang-p-tan_binary64_10774` `hang-m0-tan_binary64_10773` `hang-p0-tan_binary64_10772` `hang-0m-tan_binary64_10771` `hang-0p-tan_binary64_10770` `tan-+PI/2_binary64_10769` `tan-+PI_binary64_10768` `tan-PI_binary64_10767` `tan-PI/3_binary64_10766` `tan-PI/4_binary64_10765` `tan-PI/6_binary64_10764` `cos-+PI/2_binary64_10763` `cos-+PI_binary64_10762` `cos-PI_binary64_10761` `cos-PI/2_binary64_10760` `cos-PI/3_binary64_10759` `cos-PI/4_binary64_10758` `cos-PI/6_binary64_10757` `sin-+PI/2_binary64_10756` `sin-+PI_binary64_10755` `sin-PI_binary64_10754` `sin-PI/2_binary64_10753` `sin-PI/3_binary64_10752` `sin-PI/4_binary64_10751` `sin-PI/6_binary64_10750` `sub-1-sin_binary64_10749` `sub-1-cos_binary64_10748` `-1-add-sin_binary64_10747` `-1-add-cos_binary64_10746` `1-sub-sin_binary64_10745` `1-sub-cos_binary64_10744` `cos-sin-sum_binary64_10743` `log-E_binary64_10739` `pow-base-0_binary64_10733` `unpow1/3_binary64_10716` `unpow1/2_binary64_10713` `exp-to-pow_binary64_10711` `pow-base-1_binary64_10709` `unpow0_binary64_10708` `unpow-1_binary64_10706` `exp-lft-cube_binary64_10705` `exp-lft-sqr_binary64_10704` `exp-cbrt_binary64_10703` `exp-sqrt_binary64_10702` `exp-neg_binary64_10696` `e-exp-1_binary64_10694` `exp-1-e_binary64_10692` `exp-0_binary64_10691` `rem-exp-log_binary64_10689` `cube-neg_binary64_10676` `rem-3cbrt-rft_binary64_10675` `rem-3cbrt-lft_binary64_10674` `rem-cbrt-cube_binary64_10673` `rem-cube-cbrt_binary64_10672` `sqr-abs_binary64_10664` `rem-sqrt-square_binary64_10662` `rem-square-sqrt_binary64_10661` `sub0-neg_binary64_10636` `+-inverses_binary64_10628` `lft-mult-inverse_binary64_10627` `rgt-mult-inverse_binary64_10626` `difference-of-sqr--1_binary64_10620` `difference-of-sqr-1_binary64_10619` `cancel-sign-sub_binary64_10614` `distribute-frac-neg_binary64_10612` `distribute-lft-out--_binary64_10601`

Counts

218 → 509

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	272	3945
1	648	3794
2	2406	3704

prune507.0ms (3.3%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	509	0	509
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	509	8	517

Error

0.0b

Counts

517 → 8

Compiler

Compiled 11586 to 2146 computations (81.5% saved)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (+.f64 y (/.f64 (neg.f64 (*.f64 z y)) (-.f64 a t))))
5.7b	(/.f64 (neg.f64 (*.f64 z y)) (-.f64 a t))

rewrite90.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

34×	`*-un-lft-identity_binary64_10649`
30×	`times-frac_binary64_10655`
29×	`add-sqr-sqrt_binary64_10671`
15×	`add-cube-cbrt_binary64_10684`
7×	`add-log-exp_binary64_10688` `difference-of-squares_binary64_10618` `distribute-lft-out--_binary64_10601`
6×	`neg-mul-1_binary64_10645` `distribute-rgt-neg-in_binary64_10607` `distribute-lft-neg-in_binary64_10606` `associate-/l*_binary64_10594`
5×	`associate-/r*_binary64_10593`
4×	`add-exp-log_binary64_10687` `add-cbrt-cube_binary64_10685`
3×	`sum-log_binary64_10740` `distribute-lft-out_binary64_10600` `associate-+r-_binary64_10583`
2×	`pow1_binary64_10710` `neg-sub0_binary64_10644` `div-sub_binary64_10654` `distribute-frac-neg_binary64_10612` `associate-/r/_binary64_10595`
1×	`div-exp_binary64_10700` `cbrt-undiv_binary64_10683` `frac-2neg_binary64_10660` `clear-num_binary64_10648` `div-inv_binary64_10646` `flip3--_binary64_10653` `flip--_binary64_10624` `flip3-+_binary64_10652` `flip-+_binary64_10623` `unsub-neg_binary64_10643` `associate-+r+_binary64_10581` `+-commutative_binary64_10579`

Counts

2 → 74

Calls

2 calls:

15.0ms	(+.f64 x (+.f64 y (/.f64 (neg.f64 (*.f64 z y)) (-.f64 a t))))
6.0ms	(/.f64 (neg.f64 (*.f64 z y)) (-.f64 a t))

Compiler

Compiled 1508 to 371 computations (75.4% saved)

series733.0ms (4.8%)

Error

0.0b

Counts

2 → 52

Calls

2 calls:

431.0ms	(+.f64 x (+.f64 y (/.f64 (neg.f64 (*.f64 z y)) (-.f64 a t))))
270.0ms	(/.f64 (neg.f64 (*.f64 z y)) (-.f64 a t))

Compiler

Compiled 1726 to 1100 computations (36.3% saved)

simplify325.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

468×	`associate-/r*_binary64_10593`
384×	`distribute-rgt-in_binary64_10599`
366×	`associate-/r/_binary64_10595`
360×	`distribute-lft-in_binary64_10598`
332×	`associate-*l/_binary64_10592`
329×	`associate-/l/_binary64_10596`
223×	`div-sub_binary64_10654`
116×	`sub-neg_binary64_10642` `cancel-sign-sub-inv_binary64_10615`
112×	`distribute-rgt-neg-out_binary64_10609`
108×	`distribute-lft-neg-out_binary64_10608`
96×	`associate-/l*_binary64_10594`
95×	`distribute-frac-neg_binary64_10612`
87×	`neg-sub0_binary64_10644`
80×	`neg-mul-1_binary64_10645`
78×	`distribute-neg-frac_binary64_10613`
70×	`distribute-lft-neg-in_binary64_10606`
62×	`distribute-rgt-neg-in_binary64_10607`
51×	`times-frac_binary64_10655` `associate-r_binary64_10589`
47×	`associate-l_binary64_10590`
38×	`unsub-neg_binary64_10643`
33×	`*-commutative_binary64_10580`
32×	`+-commutative_binary64_10579`
31×	`log-prod_binary64_10735`
30×	`sqr-pow_binary64_10621`
26×	`log-div_binary64_10736`
23×	`distribute-neg-in_binary64_10610`
18×	`*-rgt-identity_binary64_10639` `associate-+l+_binary64_10582`
14×	`prod-exp_binary64_10698` `associate--r+_binary64_10585` `associate-+r+_binary64_10581`
13×	`swap-sqr_binary64_10616`
12×	`remove-double-neg_binary64_10637` `pow-sqr_binary64_10622` `associate-*r/_binary64_10591`
11×	`div-exp_binary64_10700` `cube-prod_binary64_10677` `associate--l+_binary64_10586`
10×	`/-rgt-identity_binary64_10640` `div0_binary64_10630`
9×	`exp-sum_binary64_10695`
8×	`cube-div_binary64_10678` `difference-of-squares_binary64_10618`
7×	`cube-unmult_binary64_10686`
6×	`pow-plus_binary64_10712` `sqr-neg_binary64_10663` `distribute-rgt-out--_binary64_10603`
5×	`exp-diff_binary64_10697` `mul-1-neg_binary64_10641`
4×	`unpow3_binary64_10715` `exp-prod_binary64_10701` `cube-mult_binary64_10679`
3×	`rec-exp_binary64_10699` `distribute-rgt1-in_binary64_10605` `distribute-rgt-out_binary64_10602` `associate--r-_binary64_10588`
2×	`unpow2_binary64_10714` `unpow1_binary64_10707` `*-lft-identity_binary64_10638` `+-rgt-identity_binary64_10634` `associate-+l-_binary64_10584`
1×	`log-rec_binary64_10737` `exp-neg_binary64_10696` `1-exp_binary64_10693` `rem-log-exp_binary64_10690` `+-lft-identity_binary64_10633` `*-inverses_binary64_10629` `unswap-sqr_binary64_10617` `distribute-neg-out_binary64_10611` `distribute-lft1-in_binary64_10604` `distribute-lft-out_binary64_10600` `associate--l-_binary64_10587` `associate-+r-_binary64_10583`
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_10912` `erf-erfc_binary64_10911` `erf-odd_binary64_10910` `if-if-and-not_binary64_10909` `if-if-and_binary64_10908` `if-if-or-not_binary64_10907` `if-if-or_binary64_10906` `if-not_binary64_10905` `if-same_binary64_10904` `if-false_binary64_10903` `if-true_binary64_10902` `not-gte_binary64_10901` `not-lte_binary64_10900` `not-gt_binary64_10899` `not-lt_binary64_10898` `gte-same_binary64_10897` `lte-same_binary64_10896` `gt-same_binary64_10895` `lt-same_binary64_10894` `sinh---cosh_binary64_10841` `sinh-+-cosh_binary64_10840` `sinh-cosh_binary64_10839` `tanh-def-c_binary64_10838` `tanh-def-b_binary64_10837` `tanh-def-a_binary64_10836` `cosh-def_binary64_10835` `sinh-def_binary64_10834` `tan-neg_binary64_10781` `cos-neg_binary64_10780` `sin-neg_binary64_10779` `tan-0_binary64_10778` `cos-0_binary64_10777` `sin-0_binary64_10776` `hang-m-tan_binary64_10775` `hang-p-tan_binary64_10774` `hang-m0-tan_binary64_10773` `hang-p0-tan_binary64_10772` `hang-0m-tan_binary64_10771` `hang-0p-tan_binary64_10770` `tan-+PI/2_binary64_10769` `tan-+PI_binary64_10768` `tan-PI_binary64_10767` `tan-PI/3_binary64_10766` `tan-PI/4_binary64_10765` `tan-PI/6_binary64_10764` `cos-+PI/2_binary64_10763` `cos-+PI_binary64_10762` `cos-PI_binary64_10761` `cos-PI/2_binary64_10760` `cos-PI/3_binary64_10759` `cos-PI/4_binary64_10758` `cos-PI/6_binary64_10757` `sin-+PI/2_binary64_10756` `sin-+PI_binary64_10755` `sin-PI_binary64_10754` `sin-PI/2_binary64_10753` `sin-PI/3_binary64_10752` `sin-PI/4_binary64_10751` `sin-PI/6_binary64_10750` `sub-1-sin_binary64_10749` `sub-1-cos_binary64_10748` `-1-add-sin_binary64_10747` `-1-add-cos_binary64_10746` `1-sub-sin_binary64_10745` `1-sub-cos_binary64_10744` `cos-sin-sum_binary64_10743` `log-E_binary64_10739` `log-pow_binary64_10738` `pow-base-0_binary64_10733` `unpow1/3_binary64_10716` `unpow1/2_binary64_10713` `exp-to-pow_binary64_10711` `pow-base-1_binary64_10709` `unpow0_binary64_10708` `unpow-1_binary64_10706` `exp-lft-cube_binary64_10705` `exp-lft-sqr_binary64_10704` `exp-cbrt_binary64_10703` `exp-sqrt_binary64_10702` `e-exp-1_binary64_10694` `exp-1-e_binary64_10692` `exp-0_binary64_10691` `rem-exp-log_binary64_10689` `cube-neg_binary64_10676` `rem-3cbrt-rft_binary64_10675` `rem-3cbrt-lft_binary64_10674` `rem-cbrt-cube_binary64_10673` `rem-cube-cbrt_binary64_10672` `sqr-abs_binary64_10664` `rem-sqrt-square_binary64_10662` `rem-square-sqrt_binary64_10661` `sub0-neg_binary64_10636` `--rgt-identity_binary64_10635` `mul0-rgt_binary64_10632` `mul0-lft_binary64_10631` `+-inverses_binary64_10628` `lft-mult-inverse_binary64_10627` `rgt-mult-inverse_binary64_10626` `remove-double-div_binary64_10625` `difference-of-sqr--1_binary64_10620` `difference-of-sqr-1_binary64_10619` `cancel-sign-sub_binary64_10614` `distribute-lft-out--_binary64_10601` `count-2_binary64_10597`

Counts

126 → 429

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	164	2255
1	410	2172
2	1513	2112

prune348.0ms (2.3%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	429	0	429
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	429	8	437

Error

0.0b

Counts

437 → 8

Compiler

Compiled 8845 to 1182 computations (86.6% saved)

regimes1.4s (9.4%)

Accuracy

Total 3.3b remaining (99.5%)

Threshold costs 0b (0%)

Compiler

Compiled 11970 to 8862 computations (26% saved)

bsearch5.0ms (0%)

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

simplify65.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

97×	`unsub-neg_binary64_10643`
91×	`neg-mul-1_binary64_10645` `neg-sub0_binary64_10644`
63×	`distribute-neg-out_binary64_10611`
54×	`distribute-rgt-neg-out_binary64_10609`
51×	`distribute-rgt-neg-in_binary64_10607`
42×	`cancel-sign-sub-inv_binary64_10615`
38×	`distribute-lft-neg-out_binary64_10608`
34×	`sub-neg_binary64_10642`
32×	`distribute-lft-neg-in_binary64_10606`
26×	`+-commutative_binary64_10579`
23×	`distribute-neg-in_binary64_10610`
19×	`*-commutative_binary64_10580`
17×	`remove-double-neg_binary64_10637`
10×	`distribute-frac-neg_binary64_10612`
7×	`+-rgt-identity_binary64_10634` `+-lft-identity_binary64_10633`
2×	`distribute-neg-frac_binary64_10613`
1×	`if-if-or-not_binary64_10907` `1-exp_binary64_10693` `sqr-neg_binary64_10663` `*-rgt-identity_binary64_10639` `--rgt-identity_binary64_10635`
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_10909` `if-if-and_binary64_10908` `if-if-or_binary64_10906` `if-not_binary64_10905` `if-same_binary64_10904` `if-false_binary64_10903` `if-true_binary64_10902` `tan-0_binary64_10778` `cos-0_binary64_10777` `sin-0_binary64_10776` `unpow1_binary64_10707` `e-exp-1_binary64_10694` `exp-1-e_binary64_10692` `exp-0_binary64_10691` `sqr-abs_binary64_10664` `mul-1-neg_binary64_10641` `/-rgt-identity_binary64_10640` `*-lft-identity_binary64_10638` `sub0-neg_binary64_10636` `cancel-sign-sub_binary64_10614`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	88
1	49	88
2	67	88
3	85	88
4	100	88
5	117	88
6	138	88
7	146	88
8	223	88
9	304	88
10	266	88
11	285	88
12	303	88
13	333	88
14	366	88
15	394	88
16	401	88
17	405	88
18	406	88

Proof

(=> (if real (<= f64 (- f64 (+ f64 h0 h1) (/ f64 (* f64 (- f64 h2 h3) h1) (- f64 h4 h3))) -413206317255453/62977615730245738786737893213810516180854717020526113763804520252546537227240188059141308771092556464037227033764973721370976872384868328243558285053126761544750533580661426087466659268906884318950680840994261312979224716752953736643600094171409186898414919483392) (+ f64 h0 (* f64 h1 (- f64 (+ f64 (/ f64 h3 (- f64 h4 h3)) 1) (/ f64 h2 (- f64 h4 h3))))) (if real (<= f64 (- f64 (+ f64 h0 h1) (/ f64 (* f64 (- f64 h2 h3) h1) (- f64 h4 h3))) 0) (+ f64 h0 (/ f64 h1 (/ f64 h3 (- f64 h2 h4)))) (+ f64 h0 (* f64 h1 (- f64 (+ f64 (/ f64 h3 (- f64 h4 h3)) 1) (/ f64 h2 (- f64 h4 h3))))))))
if-if-or-not_binary64_10907 =>
(if real (or real (<= f64 (- f64 (+ f64 h0 h1) (/ f64 (* f64 (- f64 h2 h3) h1) (- f64 h4 h3))) -413206317255453/62977615730245738786737893213810516180854717020526113763804520252546537227240188059141308771092556464037227033764973721370976872384868328243558285053126761544750533580661426087466659268906884318950680840994261312979224716752953736643600094171409186898414919483392) (not real (<= f64 (=> (- f64 (+ f64 h0 h1) (/ f64 (* f64 (- f64 h2 h3) h1) (- f64 h4 h3)))) 0))) (+ f64 h0 (* f64 h1 (- f64 (+ f64 (/ f64 h3 (- f64 h4 h3)) 1) (/ f64 h2 (- f64 h4 h3))))) (+ f64 h0 (/ f64 h1 (/ f64 h3 (- f64 h2 h4)))))
sub-neg_binary64_10642 =>
(if real (or real (<= f64 (=> (- f64 (+ f64 h0 h1) (/ f64 (* f64 (- f64 h2 h3) h1) (- f64 h4 h3)))) -413206317255453/62977615730245738786737893213810516180854717020526113763804520252546537227240188059141308771092556464037227033764973721370976872384868328243558285053126761544750533580661426087466659268906884318950680840994261312979224716752953736643600094171409186898414919483392) (not real (<= f64 (+ f64 (+ f64 h0 h1) (neg f64 (/ f64 (* f64 (- f64 h2 h3) h1) (- f64 h4 h3)))) 0))) (+ f64 h0 (* f64 h1 (- f64 (+ f64 (/ f64 h3 (- f64 h4 h3)) 1) (/ f64 h2 (- f64 h4 h3))))) (+ f64 h0 (/ f64 h1 (/ f64 h3 (- f64 h2 h4)))))
sub-neg_binary64_10642 =>
(if real (or real (<= f64 (+ f64 (+ f64 h0 h1) (neg f64 (/ f64 (* f64 (- f64 h2 h3) h1) (- f64 h4 h3)))) -413206317255453/62977615730245738786737893213810516180854717020526113763804520252546537227240188059141308771092556464037227033764973721370976872384868328243558285053126761544750533580661426087466659268906884318950680840994261312979224716752953736643600094171409186898414919483392) (not real (<= f64 (+ f64 (+ f64 h0 h1) (neg f64 (/ f64 (* f64 (- f64 h2 h3) h1) (- f64 h4 h3)))) 0))) (+ f64 h0 (=> (* f64 h1 (- f64 (+ f64 (/ f64 h3 (- f64 h4 h3)) 1) (/ f64 h2 (- f64 h4 h3)))))) (+ f64 h0 (/ f64 h1 (/ f64 h3 (- f64 h2 h4)))))
*-commutative_binary64_10580 =>
(if real (or real (<= f64 (+ f64 (+ f64 h0 h1) (neg f64 (/ f64 (* f64 (- f64 h2 h3) h1) (- f64 h4 h3)))) -413206317255453/62977615730245738786737893213810516180854717020526113763804520252546537227240188059141308771092556464037227033764973721370976872384868328243558285053126761544750533580661426087466659268906884318950680840994261312979224716752953736643600094171409186898414919483392) (not real (<= f64 (+ f64 (+ f64 h0 h1) (=> (neg f64 (/ f64 (* f64 (- f64 h2 h3) h1) (- f64 h4 h3))))) 0))) (+ f64 h0 (* f64 (- f64 (+ f64 (/ f64 h3 (- f64 h4 h3)) 1) (/ f64 h2 (- f64 h4 h3))) h1)) (+ f64 h0 (/ f64 h1 (/ f64 h3 (- f64 h2 h4)))))
distribute-neg-frac_binary64_10613 =>
(if real (or real (<= f64 (+ f64 (+ f64 h0 h1) (neg f64 (/ f64 (* f64 (- f64 h2 h3) h1) (- f64 h4 h3)))) -413206317255453/62977615730245738786737893213810516180854717020526113763804520252546537227240188059141308771092556464037227033764973721370976872384868328243558285053126761544750533580661426087466659268906884318950680840994261312979224716752953736643600094171409186898414919483392) (not real (<= f64 (+ f64 (+ f64 h0 h1) (/ f64 (neg f64 (=> (* f64 (- f64 h2 h3) h1))) (- f64 h4 h3))) 0))) (+ f64 h0 (* f64 (- f64 (+ f64 (/ f64 h3 (- f64 h4 h3)) 1) (/ f64 h2 (- f64 h4 h3))) h1)) (+ f64 h0 (/ f64 h1 (/ f64 h3 (- f64 h2 h4)))))
*-commutative_binary64_10580 =>
(if real (or real (<= f64 (+ f64 (+ f64 h0 h1) (=> (neg f64 (/ f64 (* f64 (- f64 h2 h3) h1) (- f64 h4 h3))))) -413206317255453/62977615730245738786737893213810516180854717020526113763804520252546537227240188059141308771092556464037227033764973721370976872384868328243558285053126761544750533580661426087466659268906884318950680840994261312979224716752953736643600094171409186898414919483392) (not real (<= f64 (+ f64 (+ f64 h0 h1) (/ f64 (neg f64 (* f64 h1 (- f64 h2 h3))) (- f64 h4 h3))) 0))) (+ f64 h0 (* f64 (- f64 (+ f64 (/ f64 h3 (- f64 h4 h3)) 1) (/ f64 h2 (- f64 h4 h3))) h1)) (+ f64 h0 (/ f64 h1 (/ f64 h3 (- f64 h2 h4)))))
distribute-neg-frac_binary64_10613 =>
(if real (or real (<= f64 (+ f64 (+ f64 h0 h1) (/ f64 (neg f64 (=> (* f64 (- f64 h2 h3) h1))) (- f64 h4 h3))) -413206317255453/62977615730245738786737893213810516180854717020526113763804520252546537227240188059141308771092556464037227033764973721370976872384868328243558285053126761544750533580661426087466659268906884318950680840994261312979224716752953736643600094171409186898414919483392) (not real (<= f64 (+ f64 (+ f64 h0 h1) (/ f64 (neg f64 (* f64 h1 (- f64 h2 h3))) (- f64 h4 h3))) 0))) (+ f64 h0 (* f64 (- f64 (+ f64 (/ f64 h3 (- f64 h4 h3)) 1) (/ f64 h2 (- f64 h4 h3))) h1)) (+ f64 h0 (/ f64 h1 (/ f64 h3 (- f64 h2 h4)))))
*-commutative_binary64_10580 =>
(if real (or real (<= f64 (+ f64 (+ f64 h0 h1) (/ f64 (neg f64 (* f64 h1 (- f64 h2 h3))) (- f64 h4 h3))) -413206317255453/62977615730245738786737893213810516180854717020526113763804520252546537227240188059141308771092556464037227033764973721370976872384868328243558285053126761544750533580661426087466659268906884318950680840994261312979224716752953736643600094171409186898414919483392) (not real (<= f64 (+ f64 (+ f64 h0 h1) (/ f64 (=> (neg f64 (* f64 h1 (- f64 h2 h3)))) (- f64 h4 h3))) 0))) (+ f64 h0 (* f64 (- f64 (+ f64 (/ f64 h3 (- f64 h4 h3)) 1) (/ f64 h2 (- f64 h4 h3))) h1)) (+ f64 h0 (/ f64 h1 (/ f64 h3 (- f64 h2 h4)))))
distribute-rgt-neg-in_binary64_10607 =>
(if real (or real (<= f64 (+ f64 (+ f64 h0 h1) (/ f64 (neg f64 (* f64 h1 (- f64 h2 h3))) (- f64 h4 h3))) -413206317255453/62977615730245738786737893213810516180854717020526113763804520252546537227240188059141308771092556464037227033764973721370976872384868328243558285053126761544750533580661426087466659268906884318950680840994261312979224716752953736643600094171409186898414919483392) (not real (<= f64 (+ f64 (+ f64 h0 h1) (/ f64 (* f64 h1 (neg f64 (=> (- f64 h2 h3)))) (- f64 h4 h3))) 0))) (+ f64 h0 (* f64 (- f64 (+ f64 (/ f64 h3 (- f64 h4 h3)) 1) (/ f64 h2 (- f64 h4 h3))) h1)) (+ f64 h0 (/ f64 h1 (/ f64 h3 (- f64 h2 h4)))))
sub-neg_binary64_10642 =>
(if real (or real (<= f64 (+ f64 (+ f64 h0 h1) (/ f64 (neg f64 (* f64 h1 (- f64 h2 h3))) (- f64 h4 h3))) -413206317255453/62977615730245738786737893213810516180854717020526113763804520252546537227240188059141308771092556464037227033764973721370976872384868328243558285053126761544750533580661426087466659268906884318950680840994261312979224716752953736643600094171409186898414919483392) (not real (<= f64 (+ f64 (+ f64 h0 h1) (/ f64 (* f64 h1 (neg f64 (=> (+ f64 h2 (neg f64 h3))))) (- f64 h4 h3))) 0))) (+ f64 h0 (* f64 (- f64 (+ f64 (/ f64 h3 (- f64 h4 h3)) 1) (/ f64 h2 (- f64 h4 h3))) h1)) (+ f64 h0 (/ f64 h1 (/ f64 h3 (- f64 h2 h4)))))
+-commutative_binary64_10579 =>
(if real (or real (<= f64 (+ f64 (+ f64 h0 h1) (/ f64 (=> (neg f64 (* f64 h1 (- f64 h2 h3)))) (- f64 h4 h3))) -413206317255453/62977615730245738786737893213810516180854717020526113763804520252546537227240188059141308771092556464037227033764973721370976872384868328243558285053126761544750533580661426087466659268906884318950680840994261312979224716752953736643600094171409186898414919483392) (not real (<= f64 (+ f64 (+ f64 h0 h1) (/ f64 (* f64 h1 (neg f64 (+ f64 (neg f64 h3) h2))) (- f64 h4 h3))) 0))) (+ f64 h0 (* f64 (- f64 (+ f64 (/ f64 h3 (- f64 h4 h3)) 1) (/ f64 h2 (- f64 h4 h3))) h1)) (+ f64 h0 (/ f64 h1 (/ f64 h3 (- f64 h2 h4)))))
distribute-rgt-neg-in_binary64_10607 =>
(if real (or real (<= f64 (+ f64 (+ f64 h0 h1) (/ f64 (* f64 h1 (neg f64 (=> (- f64 h2 h3)))) (- f64 h4 h3))) -413206317255453/62977615730245738786737893213810516180854717020526113763804520252546537227240188059141308771092556464037227033764973721370976872384868328243558285053126761544750533580661426087466659268906884318950680840994261312979224716752953736643600094171409186898414919483392) (not real (<= f64 (+ f64 (+ f64 h0 h1) (/ f64 (* f64 h1 (neg f64 (+ f64 (neg f64 h3) h2))) (- f64 h4 h3))) 0))) (+ f64 h0 (* f64 (- f64 (+ f64 (/ f64 h3 (- f64 h4 h3)) 1) (/ f64 h2 (- f64 h4 h3))) h1)) (+ f64 h0 (/ f64 h1 (/ f64 h3 (- f64 h2 h4)))))
sub-neg_binary64_10642 =>
(if real (or real (<= f64 (+ f64 (+ f64 h0 h1) (/ f64 (* f64 h1 (neg f64 (=> (+ f64 h2 (neg f64 h3))))) (- f64 h4 h3))) -413206317255453/62977615730245738786737893213810516180854717020526113763804520252546537227240188059141308771092556464037227033764973721370976872384868328243558285053126761544750533580661426087466659268906884318950680840994261312979224716752953736643600094171409186898414919483392) (not real (<= f64 (+ f64 (+ f64 h0 h1) (/ f64 (* f64 h1 (neg f64 (+ f64 (neg f64 h3) h2))) (- f64 h4 h3))) 0))) (+ f64 h0 (* f64 (- f64 (+ f64 (/ f64 h3 (- f64 h4 h3)) 1) (/ f64 h2 (- f64 h4 h3))) h1)) (+ f64 h0 (/ f64 h1 (/ f64 h3 (- f64 h2 h4)))))
+-commutative_binary64_10579 =>
(if real (or real (<= f64 (+ f64 (+ f64 h0 h1) (/ f64 (* f64 h1 (neg f64 (+ f64 (neg f64 h3) h2))) (- f64 h4 h3))) -413206317255453/62977615730245738786737893213810516180854717020526113763804520252546537227240188059141308771092556464037227033764973721370976872384868328243558285053126761544750533580661426087466659268906884318950680840994261312979224716752953736643600094171409186898414919483392) (not real (<= f64 (+ f64 (+ f64 h0 h1) (/ f64 (* f64 h1 (=> (neg f64 (+ f64 (neg f64 h3) h2)))) (- f64 h4 h3))) 0))) (+ f64 h0 (* f64 (- f64 (+ f64 (/ f64 h3 (- f64 h4 h3)) 1) (/ f64 h2 (- f64 h4 h3))) h1)) (+ f64 h0 (/ f64 h1 (/ f64 h3 (- f64 h2 h4)))))
distribute-neg-in_binary64_10610 =>
(if real (or real (<= f64 (+ f64 (+ f64 h0 h1) (/ f64 (* f64 h1 (=> (neg f64 (+ f64 (neg f64 h3) h2)))) (- f64 h4 h3))) -413206317255453/62977615730245738786737893213810516180854717020526113763804520252546537227240188059141308771092556464037227033764973721370976872384868328243558285053126761544750533580661426087466659268906884318950680840994261312979224716752953736643600094171409186898414919483392) (not real (<= f64 (+ f64 (+ f64 h0 h1) (/ f64 (* f64 h1 (+ f64 (neg f64 (neg f64 h3)) (neg f64 h2))) (- f64 h4 h3))) 0))) (+ f64 h0 (* f64 (- f64 (+ f64 (/ f64 h3 (- f64 h4 h3)) 1) (/ f64 h2 (- f64 h4 h3))) h1)) (+ f64 h0 (/ f64 h1 (/ f64 h3 (- f64 h2 h4)))))
distribute-neg-in_binary64_10610 =>
(if real (or real (<= f64 (+ f64 (+ f64 h0 h1) (/ f64 (* f64 h1 (+ f64 (neg f64 (neg f64 h3)) (neg f64 h2))) (- f64 h4 h3))) -413206317255453/62977615730245738786737893213810516180854717020526113763804520252546537227240188059141308771092556464037227033764973721370976872384868328243558285053126761544750533580661426087466659268906884318950680840994261312979224716752953736643600094171409186898414919483392) (not real (<= f64 (+ f64 (+ f64 h0 h1) (/ f64 (* f64 h1 (=> (+ f64 (neg f64 (neg f64 h3)) (neg f64 h2)))) (- f64 h4 h3))) 0))) (+ f64 h0 (* f64 (- f64 (+ f64 (/ f64 h3 (- f64 h4 h3)) 1) (/ f64 h2 (- f64 h4 h3))) h1)) (+ f64 h0 (/ f64 h1 (/ f64 h3 (- f64 h2 h4)))))
unsub-neg_binary64_10643 =>
(if real (or real (<= f64 (+ f64 (+ f64 h0 h1) (/ f64 (* f64 h1 (=> (+ f64 (neg f64 (neg f64 h3)) (neg f64 h2)))) (- f64 h4 h3))) -413206317255453/62977615730245738786737893213810516180854717020526113763804520252546537227240188059141308771092556464037227033764973721370976872384868328243558285053126761544750533580661426087466659268906884318950680840994261312979224716752953736643600094171409186898414919483392) (not real (<= f64 (+ f64 (+ f64 h0 h1) (/ f64 (* f64 h1 (- f64 (neg f64 (neg f64 h3)) h2)) (- f64 h4 h3))) 0))) (+ f64 h0 (* f64 (- f64 (+ f64 (/ f64 h3 (- f64 h4 h3)) 1) (/ f64 h2 (- f64 h4 h3))) h1)) (+ f64 h0 (/ f64 h1 (/ f64 h3 (- f64 h2 h4)))))
unsub-neg_binary64_10643 =>
(if real (or real (<= f64 (+ f64 (+ f64 h0 h1) (/ f64 (* f64 h1 (- f64 (neg f64 (neg f64 h3)) h2)) (- f64 h4 h3))) -413206317255453/62977615730245738786737893213810516180854717020526113763804520252546537227240188059141308771092556464037227033764973721370976872384868328243558285053126761544750533580661426087466659268906884318950680840994261312979224716752953736643600094171409186898414919483392) (not real (<= f64 (+ f64 (+ f64 h0 h1) (/ f64 (* f64 h1 (- f64 (=> (neg f64 (neg f64 h3))) h2)) (- f64 h4 h3))) 0))) (+ f64 h0 (* f64 (- f64 (+ f64 (/ f64 h3 (- f64 h4 h3)) 1) (/ f64 h2 (- f64 h4 h3))) h1)) (+ f64 h0 (/ f64 h1 (/ f64 h3 (- f64 h2 h4)))))
remove-double-neg_binary64_10637 =>
(if real (or real (<= f64 (+ f64 (+ f64 h0 h1) (/ f64 (* f64 h1 (- f64 (=> (neg f64 (neg f64 h3))) h2)) (- f64 h4 h3))) -413206317255453/62977615730245738786737893213810516180854717020526113763804520252546537227240188059141308771092556464037227033764973721370976872384868328243558285053126761544750533580661426087466659268906884318950680840994261312979224716752953736643600094171409186898414919483392) (not real (<= f64 (+ f64 (+ f64 h0 h1) (/ f64 (* f64 h1 (- f64 h3 h2)) (- f64 h4 h3))) 0))) (+ f64 h0 (* f64 (- f64 (+ f64 (/ f64 h3 (- f64 h4 h3)) 1) (/ f64 h2 (- f64 h4 h3))) h1)) (+ f64 h0 (/ f64 h1 (/ f64 h3 (- f64 h2 h4)))))
remove-double-neg_binary64_10637 =>
(if real (or real (<= f64 (+ f64 (+ f64 h0 h1) (/ f64 (* f64 h1 (- f64 h3 h2)) (- f64 h4 h3))) -413206317255453/62977615730245738786737893213810516180854717020526113763804520252546537227240188059141308771092556464037227033764973721370976872384868328243558285053126761544750533580661426087466659268906884318950680840994261312979224716752953736643600094171409186898414919483392) (not real (<= f64 (+ f64 (+ f64 h0 h1) (/ f64 (* f64 h1 (- f64 h3 h2)) (- f64 h4 h3))) 0))) (+ f64 h0 (* f64 (- f64 (+ f64 (/ f64 h3 (- f64 h4 h3)) 1) (/ f64 h2 (- f64 h4 h3))) h1)) (+ f64 h0 (/ f64 h1 (/ f64 h3 (- f64 h2 h4)))))
<= +-rgt-identity_binary64_10634
(if real (or real (<= f64 (+ f64 (+ f64 h0 h1) (/ f64 (* f64 h1 (- f64 h3 h2)) (- f64 h4 h3))) -413206317255453/62977615730245738786737893213810516180854717020526113763804520252546537227240188059141308771092556464037227033764973721370976872384868328243558285053126761544750533580661426087466659268906884318950680840994261312979224716752953736643600094171409186898414919483392) (not real (<= f64 (+ f64 (+ f64 h0 h1) (/ f64 (* f64 h1 (- f64 h3 h2)) (- f64 h4 h3))) 0))) (+ f64 h0 (* f64 (- f64 (+ f64 (/ f64 h3 (- f64 h4 h3)) 1) (/ f64 h2 (- f64 h4 h3))) (<= (+ f64 h1 0)))) (+ f64 h0 (/ f64 h1 (/ f64 h3 (- f64 h2 h4)))))
<= remove-double-neg_binary64_10637
(if real (or real (<= f64 (+ f64 (+ f64 h0 h1) (/ f64 (* f64 h1 (- f64 h3 h2)) (- f64 h4 h3))) -413206317255453/62977615730245738786737893213810516180854717020526113763804520252546537227240188059141308771092556464037227033764973721370976872384868328243558285053126761544750533580661426087466659268906884318950680840994261312979224716752953736643600094171409186898414919483392) (not real (<= f64 (+ f64 (+ f64 h0 h1) (/ f64 (* f64 h1 (- f64 h3 h2)) (- f64 h4 h3))) 0))) (+ f64 h0 (* f64 (- f64 (+ f64 (/ f64 h3 (- f64 h4 h3)) 1) (/ f64 h2 (- f64 h4 h3))) (<= (neg f64 (neg f64 (+ f64 h1 0)))))) (+ f64 h0 (/ f64 h1 (/ f64 h3 (- f64 h2 h4)))))
<= distribute-neg-out_binary64_10611
(if real (or real (<= f64 (+ f64 (+ f64 h0 h1) (/ f64 (* f64 h1 (- f64 h3 h2)) (- f64 h4 h3))) -413206317255453/62977615730245738786737893213810516180854717020526113763804520252546537227240188059141308771092556464037227033764973721370976872384868328243558285053126761544750533580661426087466659268906884318950680840994261312979224716752953736643600094171409186898414919483392) (not real (<= f64 (+ f64 (+ f64 h0 h1) (/ f64 (* f64 h1 (- f64 h3 h2)) (- f64 h4 h3))) 0))) (+ f64 h0 (* f64 (- f64 (+ f64 (/ f64 h3 (- f64 h4 h3)) 1) (/ f64 h2 (- f64 h4 h3))) (neg f64 (<= (+ f64 (neg f64 h1) (neg f64 0)))))) (+ f64 h0 (/ f64 h1 (/ f64 h3 (- f64 h2 h4)))))
<= remove-double-neg_binary64_10637
(if real (or real (<= f64 (+ f64 (+ f64 h0 h1) (/ f64 (* f64 h1 (- f64 h3 h2)) (- f64 h4 h3))) -413206317255453/62977615730245738786737893213810516180854717020526113763804520252546537227240188059141308771092556464037227033764973721370976872384868328243558285053126761544750533580661426087466659268906884318950680840994261312979224716752953736643600094171409186898414919483392) (not real (<= f64 (+ f64 (+ f64 h0 h1) (/ f64 (* f64 h1 (- f64 h3 h2)) (- f64 h4 h3))) 0))) (+ f64 h0 (* f64 (- f64 (+ f64 (/ f64 h3 (- f64 h4 h3)) 1) (/ f64 h2 (- f64 h4 h3))) (neg f64 (+ f64 (neg f64 h1) (neg f64 (<= (=> (neg f64 (neg f64 0))))))))) (+ f64 h0 (/ f64 h1 (/ f64 h3 (- f64 h2 h4)))))
remove-double-neg_binary64_10637 =>
(if real (or real (<= f64 (+ f64 (+ f64 h0 h1) (/ f64 (* f64 h1 (- f64 h3 h2)) (- f64 h4 h3))) -413206317255453/62977615730245738786737893213810516180854717020526113763804520252546537227240188059141308771092556464037227033764973721370976872384868328243558285053126761544750533580661426087466659268906884318950680840994261312979224716752953736643600094171409186898414919483392) (not real (<= f64 (+ f64 (+ f64 h0 h1) (/ f64 (* f64 h1 (- f64 h3 h2)) (- f64 h4 h3))) 0))) (+ f64 h0 (* f64 (- f64 (+ f64 (/ f64 h3 (- f64 h4 h3)) 1) (/ f64 h2 (- f64 h4 h3))) (neg f64 (+ f64 (neg f64 h1) (neg f64 0))))) (+ f64 h0 (/ f64 h1 (/ f64 h3 (- f64 h2 h4)))))
<= --rgt-identity_binary64_10635
(if real (or real (<= f64 (+ f64 (+ f64 h0 h1) (/ f64 (* f64 h1 (- f64 h3 h2)) (- f64 h4 h3))) -413206317255453/62977615730245738786737893213810516180854717020526113763804520252546537227240188059141308771092556464037227033764973721370976872384868328243558285053126761544750533580661426087466659268906884318950680840994261312979224716752953736643600094171409186898414919483392) (not real (<= f64 (+ f64 (+ f64 h0 h1) (/ f64 (* f64 h1 (- f64 h3 h2)) (- f64 h4 h3))) 0))) (+ f64 h0 (* f64 (- f64 (+ f64 (/ f64 h3 (- f64 h4 h3)) 1) (/ f64 h2 (- f64 h4 h3))) (neg f64 (+ f64 (neg f64 h1) (neg f64 (<= (- f64 0 0))))))) (+ f64 h0 (/ f64 h1 (/ f64 h3 (- f64 h2 h4)))))
<= neg-sub0_binary64_10644
(if real (or real (<= f64 (+ f64 (+ f64 h0 h1) (/ f64 (* f64 h1 (- f64 h3 h2)) (- f64 h4 h3))) -413206317255453/62977615730245738786737893213810516180854717020526113763804520252546537227240188059141308771092556464037227033764973721370976872384868328243558285053126761544750533580661426087466659268906884318950680840994261312979224716752953736643600094171409186898414919483392) (not real (<= f64 (+ f64 (+ f64 h0 h1) (/ f64 (* f64 h1 (- f64 h3 h2)) (- f64 h4 h3))) 0))) (+ f64 h0 (* f64 (- f64 (+ f64 (/ f64 h3 (- f64 h4 h3)) 1) (/ f64 h2 (- f64 h4 h3))) (neg f64 (+ f64 (neg f64 h1) (=> (neg f64 (<= (neg f64 0)))))))) (+ f64 h0 (/ f64 h1 (/ f64 h3 (- f64 h2 h4)))))
remove-double-neg_binary64_10637 =>
(if real (or real (<= f64 (+ f64 (+ f64 h0 h1) (/ f64 (* f64 h1 (- f64 h3 h2)) (- f64 h4 h3))) -413206317255453/62977615730245738786737893213810516180854717020526113763804520252546537227240188059141308771092556464037227033764973721370976872384868328243558285053126761544750533580661426087466659268906884318950680840994261312979224716752953736643600094171409186898414919483392) (not real (<= f64 (+ f64 (+ f64 h0 h1) (/ f64 (* f64 h1 (- f64 h3 h2)) (- f64 h4 h3))) 0))) (+ f64 h0 (* f64 (- f64 (+ f64 (/ f64 h3 (- f64 h4 h3)) 1) (/ f64 h2 (- f64 h4 h3))) (neg f64 (+ f64 (neg f64 h1) 0)))) (+ f64 h0 (/ f64 h1 (/ f64 h3 (- f64 h2 h4)))))
<= +-commutative_binary64_10579
(if real (or real (<= f64 (+ f64 (+ f64 h0 h1) (/ f64 (* f64 h1 (- f64 h3 h2)) (- f64 h4 h3))) -413206317255453/62977615730245738786737893213810516180854717020526113763804520252546537227240188059141308771092556464037227033764973721370976872384868328243558285053126761544750533580661426087466659268906884318950680840994261312979224716752953736643600094171409186898414919483392) (not real (<= f64 (+ f64 (+ f64 h0 h1) (/ f64 (* f64 h1 (- f64 h3 h2)) (- f64 h4 h3))) 0))) (+ f64 h0 (* f64 (- f64 (+ f64 (/ f64 h3 (- f64 h4 h3)) 1) (/ f64 h2 (- f64 h4 h3))) (neg f64 (<= (+ f64 0 (neg f64 h1)))))) (+ f64 h0 (/ f64 h1 (/ f64 h3 (- f64 h2 h4)))))
<= sub-neg_binary64_10642
(if real (or real (<= f64 (+ f64 (+ f64 h0 h1) (/ f64 (* f64 h1 (- f64 h3 h2)) (- f64 h4 h3))) -413206317255453/62977615730245738786737893213810516180854717020526113763804520252546537227240188059141308771092556464037227033764973721370976872384868328243558285053126761544750533580661426087466659268906884318950680840994261312979224716752953736643600094171409186898414919483392) (not real (<= f64 (+ f64 (+ f64 h0 h1) (/ f64 (* f64 h1 (- f64 h3 h2)) (- f64 h4 h3))) 0))) (+ f64 h0 (* f64 (- f64 (+ f64 (/ f64 h3 (- f64 h4 h3)) 1) (/ f64 h2 (- f64 h4 h3))) (neg f64 (<= (- f64 0 h1))))) (+ f64 h0 (/ f64 h1 (/ f64 h3 (- f64 h2 h4)))))
<= neg-sub0_binary64_10644
(if real (or real (<= f64 (+ f64 (+ f64 h0 h1) (/ f64 (* f64 h1 (- f64 h3 h2)) (- f64 h4 h3))) -413206317255453/62977615730245738786737893213810516180854717020526113763804520252546537227240188059141308771092556464037227033764973721370976872384868328243558285053126761544750533580661426087466659268906884318950680840994261312979224716752953736643600094171409186898414919483392) (not real (<= f64 (+ f64 (+ f64 h0 h1) (/ f64 (* f64 h1 (- f64 h3 h2)) (- f64 h4 h3))) 0))) (+ f64 h0 (=> (* f64 (- f64 (+ f64 (/ f64 h3 (- f64 h4 h3)) 1) (/ f64 h2 (- f64 h4 h3))) (neg f64 (<= (neg f64 h1)))))) (+ f64 h0 (/ f64 h1 (/ f64 h3 (- f64 h2 h4)))))
distribute-rgt-neg-out_binary64_10609 =>
(if real (or real (<= f64 (+ f64 (+ f64 h0 h1) (/ f64 (* f64 h1 (- f64 h3 h2)) (- f64 h4 h3))) -413206317255453/62977615730245738786737893213810516180854717020526113763804520252546537227240188059141308771092556464037227033764973721370976872384868328243558285053126761544750533580661426087466659268906884318950680840994261312979224716752953736643600094171409186898414919483392) (not real (<= f64 (+ f64 (+ f64 h0 h1) (/ f64 (* f64 h1 (- f64 h3 h2)) (- f64 h4 h3))) 0))) (=> (+ f64 h0 (neg f64 (* f64 (- f64 (+ f64 (/ f64 h3 (- f64 h4 h3)) 1) (/ f64 h2 (- f64 h4 h3))) (neg f64 h1))))) (+ f64 h0 (/ f64 h1 (/ f64 h3 (- f64 h2 h4)))))
unsub-neg_binary64_10643 =>
(if real (or real (<= f64 (+ f64 (+ f64 h0 h1) (/ f64 (* f64 h1 (- f64 h3 h2)) (- f64 h4 h3))) -413206317255453/62977615730245738786737893213810516180854717020526113763804520252546537227240188059141308771092556464037227033764973721370976872384868328243558285053126761544750533580661426087466659268906884318950680840994261312979224716752953736643600094171409186898414919483392) (not real (<= f64 (+ f64 (+ f64 h0 h1) (/ f64 (* f64 h1 (- f64 h3 h2)) (- f64 h4 h3))) 0))) (- f64 h0 (=> (* f64 (- f64 (+ f64 (/ f64 h3 (- f64 h4 h3)) 1) (/ f64 h2 (- f64 h4 h3))) (neg f64 h1)))) (+ f64 h0 (/ f64 h1 (/ f64 h3 (- f64 h2 h4)))))
distribute-rgt-neg-out_binary64_10609 =>
(if real (or real (<= f64 (+ f64 (+ f64 h0 h1) (/ f64 (* f64 h1 (- f64 h3 h2)) (- f64 h4 h3))) -413206317255453/62977615730245738786737893213810516180854717020526113763804520252546537227240188059141308771092556464037227033764973721370976872384868328243558285053126761544750533580661426087466659268906884318950680840994261312979224716752953736643600094171409186898414919483392) (not real (<= f64 (+ f64 (+ f64 h0 h1) (/ f64 (* f64 h1 (- f64 h3 h2)) (- f64 h4 h3))) 0))) (- f64 h0 (neg f64 (* f64 (- f64 (+ f64 (/ f64 h3 (- f64 h4 h3)) 1) (/ f64 h2 (- f64 h4 h3))) h1))) (+ f64 h0 (/ f64 h1 (/ f64 h3 (- f64 h2 h4)))))
<= *-commutative_binary64_10580
(if real (or real (<= f64 (+ f64 (+ f64 h0 h1) (/ f64 (* f64 h1 (- f64 h3 h2)) (- f64 h4 h3))) -413206317255453/62977615730245738786737893213810516180854717020526113763804520252546537227240188059141308771092556464037227033764973721370976872384868328243558285053126761544750533580661426087466659268906884318950680840994261312979224716752953736643600094171409186898414919483392) (not real (<= f64 (+ f64 (+ f64 h0 h1) (/ f64 (* f64 h1 (- f64 h3 h2)) (- f64 h4 h3))) 0))) (- f64 h0 (=> (neg f64 (<= (* f64 h1 (- f64 (+ f64 (/ f64 h3 (- f64 h4 h3)) 1) (/ f64 h2 (- f64 h4 h3)))))))) (+ f64 h0 (/ f64 h1 (/ f64 h3 (- f64 h2 h4)))))
distribute-rgt-neg-in_binary64_10607 =>
(if real (or real (<= f64 (+ f64 (+ f64 h0 h1) (/ f64 (* f64 h1 (- f64 h3 h2)) (- f64 h4 h3))) -413206317255453/62977615730245738786737893213810516180854717020526113763804520252546537227240188059141308771092556464037227033764973721370976872384868328243558285053126761544750533580661426087466659268906884318950680840994261312979224716752953736643600094171409186898414919483392) (not real (<= f64 (+ f64 (+ f64 h0 h1) (/ f64 (* f64 h1 (- f64 h3 h2)) (- f64 h4 h3))) 0))) (- f64 h0 (* f64 h1 (neg f64 (=> (- f64 (+ f64 (/ f64 h3 (- f64 h4 h3)) 1) (/ f64 h2 (- f64 h4 h3))))))) (+ f64 h0 (/ f64 h1 (/ f64 h3 (- f64 h2 h4)))))
sub-neg_binary64_10642 =>
(if real (or real (<= f64 (+ f64 (+ f64 h0 h1) (/ f64 (* f64 h1 (- f64 h3 h2)) (- f64 h4 h3))) -413206317255453/62977615730245738786737893213810516180854717020526113763804520252546537227240188059141308771092556464037227033764973721370976872384868328243558285053126761544750533580661426087466659268906884318950680840994261312979224716752953736643600094171409186898414919483392) (not real (<= f64 (+ f64 (+ f64 h0 h1) (/ f64 (* f64 h1 (- f64 h3 h2)) (- f64 h4 h3))) 0))) (- f64 h0 (* f64 h1 (neg f64 (=> (+ f64 (+ f64 (/ f64 h3 (- f64 h4 h3)) 1) (neg f64 (/ f64 h2 (- f64 h4 h3)))))))) (+ f64 h0 (/ f64 h1 (/ f64 h3 (- f64 h2 h4)))))
+-commutative_binary64_10579 =>
(if real (or real (<= f64 (+ f64 (+ f64 h0 h1) (/ f64 (* f64 h1 (- f64 h3 h2)) (- f64 h4 h3))) -413206317255453/62977615730245738786737893213810516180854717020526113763804520252546537227240188059141308771092556464037227033764973721370976872384868328243558285053126761544750533580661426087466659268906884318950680840994261312979224716752953736643600094171409186898414919483392) (not real (<= f64 (+ f64 (+ f64 h0 h1) (/ f64 (* f64 h1 (- f64 h3 h2)) (- f64 h4 h3))) 0))) (- f64 h0 (* f64 h1 (=> (neg f64 (+ f64 (neg f64 (/ f64 h2 (- f64 h4 h3))) (+ f64 (/ f64 h3 (- f64 h4 h3)) 1)))))) (+ f64 h0 (/ f64 h1 (/ f64 h3 (- f64 h2 h4)))))
distribute-neg-in_binary64_10610 =>
(if real (or real (<= f64 (+ f64 (+ f64 h0 h1) (/ f64 (* f64 h1 (- f64 h3 h2)) (- f64 h4 h3))) -413206317255453/62977615730245738786737893213810516180854717020526113763804520252546537227240188059141308771092556464037227033764973721370976872384868328243558285053126761544750533580661426087466659268906884318950680840994261312979224716752953736643600094171409186898414919483392) (not real (<= f64 (+ f64 (+ f64 h0 h1) (/ f64 (* f64 h1 (- f64 h3 h2)) (- f64 h4 h3))) 0))) (- f64 h0 (* f64 h1 (+ f64 (neg f64 (=> (neg f64 (/ f64 h2 (- f64 h4 h3))))) (neg f64 (+ f64 (/ f64 h3 (- f64 h4 h3)) 1))))) (+ f64 h0 (/ f64 h1 (/ f64 h3 (- f64 h2 h4)))))
neg-sub0_binary64_10644 =>
(if real (or real (<= f64 (+ f64 (+ f64 h0 h1) (/ f64 (* f64 h1 (- f64 h3 h2)) (- f64 h4 h3))) -413206317255453/62977615730245738786737893213810516180854717020526113763804520252546537227240188059141308771092556464037227033764973721370976872384868328243558285053126761544750533580661426087466659268906884318950680840994261312979224716752953736643600094171409186898414919483392) (not real (<= f64 (+ f64 (+ f64 h0 h1) (/ f64 (* f64 h1 (- f64 h3 h2)) (- f64 h4 h3))) 0))) (- f64 h0 (* f64 h1 (+ f64 (neg f64 (=> (- f64 0 (/ f64 h2 (- f64 h4 h3))))) (neg f64 (+ f64 (/ f64 h3 (- f64 h4 h3)) 1))))) (+ f64 h0 (/ f64 h1 (/ f64 h3 (- f64 h2 h4)))))
sub-neg_binary64_10642 =>
(if real (or real (<= f64 (+ f64 (+ f64 h0 h1) (/ f64 (* f64 h1 (- f64 h3 h2)) (- f64 h4 h3))) -413206317255453/62977615730245738786737893213810516180854717020526113763804520252546537227240188059141308771092556464037227033764973721370976872384868328243558285053126761544750533580661426087466659268906884318950680840994261312979224716752953736643600094171409186898414919483392) (not real (<= f64 (+ f64 (+ f64 h0 h1) (/ f64 (* f64 h1 (- f64 h3 h2)) (- f64 h4 h3))) 0))) (- f64 h0 (* f64 h1 (+ f64 (neg f64 (=> (+ f64 0 (neg f64 (/ f64 h2 (- f64 h4 h3)))))) (neg f64 (+ f64 (/ f64 h3 (- f64 h4 h3)) 1))))) (+ f64 h0 (/ f64 h1 (/ f64 h3 (- f64 h2 h4)))))
+-commutative_binary64_10579 =>
(if real (or real (<= f64 (+ f64 (+ f64 h0 h1) (/ f64 (* f64 h1 (- f64 h3 h2)) (- f64 h4 h3))) -413206317255453/62977615730245738786737893213810516180854717020526113763804520252546537227240188059141308771092556464037227033764973721370976872384868328243558285053126761544750533580661426087466659268906884318950680840994261312979224716752953736643600094171409186898414919483392) (not real (<= f64 (+ f64 (+ f64 h0 h1) (/ f64 (* f64 h1 (- f64 h3 h2)) (- f64 h4 h3))) 0))) (- f64 h0 (* f64 h1 (+ f64 (neg f64 (+ f64 (neg f64 (/ f64 h2 (- f64 h4 h3))) 0)) (neg f64 (+ f64 (/ f64 h3 (- f64 h4 h3)) 1))))) (+ f64 h0 (/ f64 h1 (/ f64 h3 (- f64 h2 h4)))))
<= remove-double-neg_binary64_10637
(if real (or real (<= f64 (+ f64 (+ f64 h0 h1) (/ f64 (* f64 h1 (- f64 h3 h2)) (- f64 h4 h3))) -413206317255453/62977615730245738786737893213810516180854717020526113763804520252546537227240188059141308771092556464037227033764973721370976872384868328243558285053126761544750533580661426087466659268906884318950680840994261312979224716752953736643600094171409186898414919483392) (not real (<= f64 (+ f64 (+ f64 h0 h1) (/ f64 (* f64 h1 (- f64 h3 h2)) (- f64 h4 h3))) 0))) (- f64 h0 (* f64 h1 (+ f64 (neg f64 (+ f64 (neg f64 (/ f64 h2 (- f64 h4 h3))) (<= (neg f64 (=> (neg f64 0)))))) (neg f64 (+ f64 (/ f64 h3 (- f64 h4 h3)) 1))))) (+ f64 h0 (/ f64 h1 (/ f64 h3 (- f64 h2 h4)))))
neg-sub0_binary64_10644 =>
(if real (or real (<= f64 (+ f64 (+ f64 h0 h1) (/ f64 (* f64 h1 (- f64 h3 h2)) (- f64 h4 h3))) -413206317255453/62977615730245738786737893213810516180854717020526113763804520252546537227240188059141308771092556464037227033764973721370976872384868328243558285053126761544750533580661426087466659268906884318950680840994261312979224716752953736643600094171409186898414919483392) (not real (<= f64 (+ f64 (+ f64 h0 h1) (/ f64 (* f64 h1 (- f64 h3 h2)) (- f64 h4 h3))) 0))) (- f64 h0 (* f64 h1 (+ f64 (neg f64 (+ f64 (neg f64 (/ f64 h2 (- f64 h4 h3))) (neg f64 (=> (- f64 0 0))))) (neg f64 (+ f64 (/ f64 h3 (- f64 h4 h3)) 1))))) (+ f64 h0 (/ f64 h1 (/ f64 h3 (- f64 h2 h4)))))
--rgt-identity_binary64_10635 =>
(if real (or real (<= f64 (+ f64 (+ f64 h0 h1) (/ f64 (* f64 h1 (- f64 h3 h2)) (- f64 h4 h3))) -413206317255453/62977615730245738786737893213810516180854717020526113763804520252546537227240188059141308771092556464037227033764973721370976872384868328243558285053126761544750533580661426087466659268906884318950680840994261312979224716752953736643600094171409186898414919483392) (not real (<= f64 (+ f64 (+ f64 h0 h1) (/ f64 (* f64 h1 (- f64 h3 h2)) (- f64 h4 h3))) 0))) (- f64 h0 (* f64 h1 (+ f64 (neg f64 (+ f64 (neg f64 (/ f64 h2 (- f64 h4 h3))) (neg f64 0))) (neg f64 (+ f64 (/ f64 h3 (- f64 h4 h3)) 1))))) (+ f64 h0 (/ f64 h1 (/ f64 h3 (- f64 h2 h4)))))
<= remove-double-neg_binary64_10637
(if real (or real (<= f64 (+ f64 (+ f64 h0 h1) (/ f64 (* f64 h1 (- f64 h3 h2)) (- f64 h4 h3))) -413206317255453/62977615730245738786737893213810516180854717020526113763804520252546537227240188059141308771092556464037227033764973721370976872384868328243558285053126761544750533580661426087466659268906884318950680840994261312979224716752953736643600094171409186898414919483392) (not real (<= f64 (+ f64 (+ f64 h0 h1) (/ f64 (* f64 h1 (- f64 h3 h2)) (- f64 h4 h3))) 0))) (- f64 h0 (* f64 h1 (+ f64 (neg f64 (+ f64 (neg f64 (/ f64 h2 (- f64 h4 h3))) (neg f64 (<= (=> (neg f64 (neg f64 0))))))) (neg f64 (+ f64 (/ f64 h3 (- f64 h4 h3)) 1))))) (+ f64 h0 (/ f64 h1 (/ f64 h3 (- f64 h2 h4)))))
remove-double-neg_binary64_10637 =>
(if real (or real (<= f64 (+ f64 (+ f64 h0 h1) (/ f64 (* f64 h1 (- f64 h3 h2)) (- f64 h4 h3))) -413206317255453/62977615730245738786737893213810516180854717020526113763804520252546537227240188059141308771092556464037227033764973721370976872384868328243558285053126761544750533580661426087466659268906884318950680840994261312979224716752953736643600094171409186898414919483392) (not real (<= f64 (+ f64 (+ f64 h0 h1) (/ f64 (* f64 h1 (- f64 h3 h2)) (- f64 h4 h3))) 0))) (- f64 h0 (* f64 h1 (+ f64 (neg f64 (=> (+ f64 (neg f64 (/ f64 h2 (- f64 h4 h3))) (neg f64 0)))) (neg f64 (+ f64 (/ f64 h3 (- f64 h4 h3)) 1))))) (+ f64 h0 (/ f64 h1 (/ f64 h3 (- f64 h2 h4)))))
distribute-neg-out_binary64_10611 =>
(if real (or real (<= f64 (+ f64 (+ f64 h0 h1) (/ f64 (* f64 h1 (- f64 h3 h2)) (- f64 h4 h3))) -413206317255453/62977615730245738786737893213810516180854717020526113763804520252546537227240188059141308771092556464037227033764973721370976872384868328243558285053126761544750533580661426087466659268906884318950680840994261312979224716752953736643600094171409186898414919483392) (not real (<= f64 (+ f64 (+ f64 h0 h1) (/ f64 (* f64 h1 (- f64 h3 h2)) (- f64 h4 h3))) 0))) (- f64 h0 (* f64 h1 (+ f64 (=> (neg f64 (neg f64 (+ f64 (/ f64 h2 (- f64 h4 h3)) 0)))) (neg f64 (+ f64 (/ f64 h3 (- f64 h4 h3)) 1))))) (+ f64 h0 (/ f64 h1 (/ f64 h3 (- f64 h2 h4)))))
remove-double-neg_binary64_10637 =>
(if real (or real (<= f64 (+ f64 (+ f64 h0 h1) (/ f64 (* f64 h1 (- f64 h3 h2)) (- f64 h4 h3))) -413206317255453/62977615730245738786737893213810516180854717020526113763804520252546537227240188059141308771092556464037227033764973721370976872384868328243558285053126761544750533580661426087466659268906884318950680840994261312979224716752953736643600094171409186898414919483392) (not real (<= f64 (+ f64 (+ f64 h0 h1) (/ f64 (* f64 h1 (- f64 h3 h2)) (- f64 h4 h3))) 0))) (- f64 h0 (* f64 h1 (+ f64 (=> (+ f64 (/ f64 h2 (- f64 h4 h3)) 0)) (neg f64 (+ f64 (/ f64 h3 (- f64 h4 h3)) 1))))) (+ f64 h0 (/ f64 h1 (/ f64 h3 (- f64 h2 h4)))))
+-rgt-identity_binary64_10634 =>
(if real (or real (<= f64 (+ f64 (+ f64 h0 h1) (/ f64 (* f64 h1 (- f64 h3 h2)) (- f64 h4 h3))) -413206317255453/62977615730245738786737893213810516180854717020526113763804520252546537227240188059141308771092556464037227033764973721370976872384868328243558285053126761544750533580661426087466659268906884318950680840994261312979224716752953736643600094171409186898414919483392) (not real (<= f64 (+ f64 (+ f64 h0 h1) (/ f64 (* f64 h1 (- f64 h3 h2)) (- f64 h4 h3))) 0))) (- f64 h0 (* f64 h1 (+ f64 (/ f64 h2 (- f64 h4 h3)) (neg f64 (=> (+ f64 (/ f64 h3 (- f64 h4 h3)) 1)))))) (+ f64 h0 (/ f64 h1 (/ f64 h3 (- f64 h2 h4)))))
+-commutative_binary64_10579 =>
(if real (or real (<= f64 (+ f64 (+ f64 h0 h1) (/ f64 (* f64 h1 (- f64 h3 h2)) (- f64 h4 h3))) -413206317255453/62977615730245738786737893213810516180854717020526113763804520252546537227240188059141308771092556464037227033764973721370976872384868328243558285053126761544750533580661426087466659268906884318950680840994261312979224716752953736643600094171409186898414919483392) (not real (<= f64 (+ f64 (+ f64 h0 h1) (/ f64 (* f64 h1 (- f64 h3 h2)) (- f64 h4 h3))) 0))) (- f64 h0 (* f64 h1 (+ f64 (/ f64 h2 (- f64 h4 h3)) (=> (neg f64 (+ f64 1 (/ f64 h3 (- f64 h4 h3)))))))) (+ f64 h0 (/ f64 h1 (/ f64 h3 (- f64 h2 h4)))))
distribute-neg-in_binary64_10610 =>
(if real (or real (<= f64 (+ f64 (+ f64 h0 h1) (/ f64 (* f64 h1 (- f64 h3 h2)) (- f64 h4 h3))) -413206317255453/62977615730245738786737893213810516180854717020526113763804520252546537227240188059141308771092556464037227033764973721370976872384868328243558285053126761544750533580661426087466659268906884318950680840994261312979224716752953736643600094171409186898414919483392) (not real (<= f64 (+ f64 (+ f64 h0 h1) (/ f64 (* f64 h1 (- f64 h3 h2)) (- f64 h4 h3))) 0))) (- f64 h0 (* f64 h1 (+ f64 (/ f64 h2 (- f64 h4 h3)) (+ f64 (neg f64 1) (neg f64 (/ f64 h3 (- f64 h4 h3))))))) (+ f64 h0 (/ f64 h1 (/ f64 h3 (- f64 h2 h4)))))
<= distribute-frac-neg_binary64_10612
(if real (or real (<= f64 (+ f64 (+ f64 h0 h1) (/ f64 (* f64 h1 (- f64 h3 h2)) (- f64 h4 h3))) -413206317255453/62977615730245738786737893213810516180854717020526113763804520252546537227240188059141308771092556464037227033764973721370976872384868328243558285053126761544750533580661426087466659268906884318950680840994261312979224716752953736643600094171409186898414919483392) (not real (<= f64 (+ f64 (+ f64 h0 h1) (/ f64 (* f64 h1 (- f64 h3 h2)) (- f64 h4 h3))) 0))) (- f64 h0 (* f64 h1 (+ f64 (/ f64 h2 (- f64 h4 h3)) (+ f64 (neg f64 1) (<= (=> (/ f64 (neg f64 h3) (- f64 h4 h3)))))))) (+ f64 h0 (/ f64 h1 (/ f64 h3 (- f64 h2 h4)))))
distribute-frac-neg_binary64_10612 =>
(if real (or real (<= f64 (+ f64 (+ f64 h0 h1) (/ f64 (* f64 h1 (- f64 h3 h2)) (- f64 h4 h3))) -413206317255453/62977615730245738786737893213810516180854717020526113763804520252546537227240188059141308771092556464037227033764973721370976872384868328243558285053126761544750533580661426087466659268906884318950680840994261312979224716752953736643600094171409186898414919483392) (not real (<= f64 (+ f64 (+ f64 h0 h1) (/ f64 (* f64 h1 (- f64 h3 h2)) (- f64 h4 h3))) 0))) (- f64 h0 (* f64 h1 (+ f64 (/ f64 h2 (- f64 h4 h3)) (=> (+ f64 (neg f64 1) (neg f64 (/ f64 h3 (- f64 h4 h3)))))))) (+ f64 h0 (/ f64 h1 (/ f64 h3 (- f64 h2 h4)))))
unsub-neg_binary64_10643 =>
(if real (or real (<= f64 (+ f64 (+ f64 h0 h1) (/ f64 (* f64 h1 (- f64 h3 h2)) (- f64 h4 h3))) -413206317255453/62977615730245738786737893213810516180854717020526113763804520252546537227240188059141308771092556464037227033764973721370976872384868328243558285053126761544750533580661426087466659268906884318950680840994261312979224716752953736643600094171409186898414919483392) (not real (<= f64 (+ f64 (+ f64 h0 h1) (/ f64 (* f64 h1 (- f64 h3 h2)) (- f64 h4 h3))) 0))) (- f64 h0 (* f64 h1 (+ f64 (/ f64 h2 (- f64 h4 h3)) (- f64 (=> (neg f64 1)) (/ f64 h3 (- f64 h4 h3)))))) (+ f64 h0 (/ f64 h1 (/ f64 h3 (- f64 h2 h4)))))
neg-mul-1_binary64_10645 =>
(if real (or real (<= f64 (+ f64 (+ f64 h0 h1) (/ f64 (* f64 h1 (- f64 h3 h2)) (- f64 h4 h3))) -413206317255453/62977615730245738786737893213810516180854717020526113763804520252546537227240188059141308771092556464037227033764973721370976872384868328243558285053126761544750533580661426087466659268906884318950680840994261312979224716752953736643600094171409186898414919483392) (not real (<= f64 (+ f64 (+ f64 h0 h1) (/ f64 (* f64 h1 (- f64 h3 h2)) (- f64 h4 h3))) 0))) (- f64 h0 (* f64 h1 (+ f64 (/ f64 h2 (- f64 h4 h3)) (- f64 (=> (* f64 -1 1)) (/ f64 h3 (- f64 h4 h3)))))) (+ f64 h0 (/ f64 h1 (/ f64 h3 (- f64 h2 h4)))))
*-rgt-identity_binary64_10639 =>
(if real (or real (<= f64 (+ f64 (+ f64 h0 h1) (/ f64 (* f64 h1 (- f64 h3 h2)) (- f64 h4 h3))) -413206317255453/62977615730245738786737893213810516180854717020526113763804520252546537227240188059141308771092556464037227033764973721370976872384868328243558285053126761544750533580661426087466659268906884318950680840994261312979224716752953736643600094171409186898414919483392) (not real (<= f64 (+ f64 (+ f64 h0 h1) (/ f64 (* f64 h1 (- f64 h3 h2)) (- f64 h4 h3))) 0))) (- f64 h0 (* f64 h1 (+ f64 (/ f64 h2 (- f64 h4 h3)) (- f64 -1 (/ f64 h3 (- f64 h4 h3)))))) (+ f64 h0 (/ f64 h1 (/ f64 h3 (- f64 h2 h4)))))
<= remove-double-neg_binary64_10637
(if real (or real (<= f64 (+ f64 (+ f64 h0 h1) (/ f64 (* f64 h1 (- f64 h3 h2)) (- f64 h4 h3))) -413206317255453/62977615730245738786737893213810516180854717020526113763804520252546537227240188059141308771092556464037227033764973721370976872384868328243558285053126761544750533580661426087466659268906884318950680840994261312979224716752953736643600094171409186898414919483392) (not real (<= f64 (+ f64 (+ f64 h0 h1) (/ f64 (* f64 h1 (- f64 h3 h2)) (- f64 h4 h3))) 0))) (- f64 h0 (* f64 h1 (+ f64 (/ f64 h2 (- f64 h4 h3)) (- f64 (<= (=> (neg f64 (neg f64 -1)))) (/ f64 h3 (- f64 h4 h3)))))) (+ f64 h0 (/ f64 h1 (/ f64 h3 (- f64 h2 h4)))))
neg-sub0_binary64_10644 =>
(if real (or real (<= f64 (+ f64 (+ f64 h0 h1) (/ f64 (* f64 h1 (- f64 h3 h2)) (- f64 h4 h3))) -413206317255453/62977615730245738786737893213810516180854717020526113763804520252546537227240188059141308771092556464037227033764973721370976872384868328243558285053126761544750533580661426087466659268906884318950680840994261312979224716752953736643600094171409186898414919483392) (not real (<= f64 (+ f64 (+ f64 h0 h1) (/ f64 (* f64 h1 (- f64 h3 h2)) (- f64 h4 h3))) 0))) (- f64 h0 (* f64 h1 (+ f64 (/ f64 h2 (- f64 h4 h3)) (- f64 (=> (- f64 0 (neg f64 -1))) (/ f64 h3 (- f64 h4 h3)))))) (+ f64 h0 (/ f64 h1 (/ f64 h3 (- f64 h2 h4)))))
sub-neg_binary64_10642 =>
(if real (or real (<= f64 (+ f64 (+ f64 h0 h1) (/ f64 (* f64 h1 (- f64 h3 h2)) (- f64 h4 h3))) -413206317255453/62977615730245738786737893213810516180854717020526113763804520252546537227240188059141308771092556464037227033764973721370976872384868328243558285053126761544750533580661426087466659268906884318950680840994261312979224716752953736643600094171409186898414919483392) (not real (<= f64 (+ f64 (+ f64 h0 h1) (/ f64 (* f64 h1 (- f64 h3 h2)) (- f64 h4 h3))) 0))) (- f64 h0 (* f64 h1 (+ f64 (/ f64 h2 (- f64 h4 h3)) (- f64 (+ f64 0 (=> (neg f64 (neg f64 -1)))) (/ f64 h3 (- f64 h4 h3)))))) (+ f64 h0 (/ f64 h1 (/ f64 h3 (- f64 h2 h4)))))
remove-double-neg_binary64_10637 =>
(if real (or real (<= f64 (+ f64 (+ f64 h0 h1) (/ f64 (* f64 h1 (- f64 h3 h2)) (- f64 h4 h3))) -413206317255453/62977615730245738786737893213810516180854717020526113763804520252546537227240188059141308771092556464037227033764973721370976872384868328243558285053126761544750533580661426087466659268906884318950680840994261312979224716752953736643600094171409186898414919483392) (not real (<= f64 (+ f64 (+ f64 h0 h1) (/ f64 (* f64 h1 (- f64 h3 h2)) (- f64 h4 h3))) 0))) (- f64 h0 (* f64 h1 (+ f64 (/ f64 h2 (- f64 h4 h3)) (- f64 (+ f64 0 -1) (/ f64 h3 (- f64 h4 h3)))))) (+ f64 h0 (/ f64 h1 (/ f64 h3 (- f64 h2 h4)))))
<= remove-double-neg_binary64_10637
(if real (or real (<= f64 (+ f64 (+ f64 h0 h1) (/ f64 (* f64 h1 (- f64 h3 h2)) (- f64 h4 h3))) -413206317255453/62977615730245738786737893213810516180854717020526113763804520252546537227240188059141308771092556464037227033764973721370976872384868328243558285053126761544750533580661426087466659268906884318950680840994261312979224716752953736643600094171409186898414919483392) (not real (<= f64 (+ f64 (+ f64 h0 h1) (/ f64 (* f64 h1 (- f64 h3 h2)) (- f64 h4 h3))) 0))) (- f64 h0 (* f64 h1 (+ f64 (/ f64 h2 (- f64 h4 h3)) (- f64 (+ f64 0 (<= (neg f64 (neg f64 -1)))) (/ f64 h3 (- f64 h4 h3)))))) (+ f64 h0 (/ f64 h1 (/ f64 h3 (- f64 h2 h4)))))
<= sub-neg_binary64_10642
(if real (or real (<= f64 (+ f64 (+ f64 h0 h1) (/ f64 (* f64 h1 (- f64 h3 h2)) (- f64 h4 h3))) -413206317255453/62977615730245738786737893213810516180854717020526113763804520252546537227240188059141308771092556464037227033764973721370976872384868328243558285053126761544750533580661426087466659268906884318950680840994261312979224716752953736643600094171409186898414919483392) (not real (<= f64 (+ f64 (+ f64 h0 h1) (/ f64 (* f64 h1 (- f64 h3 h2)) (- f64 h4 h3))) 0))) (- f64 h0 (* f64 h1 (+ f64 (/ f64 h2 (- f64 h4 h3)) (- f64 (<= (- f64 0 (neg f64 -1))) (/ f64 h3 (- f64 h4 h3)))))) (+ f64 h0 (/ f64 h1 (/ f64 h3 (- f64 h2 h4)))))
<= neg-sub0_binary64_10644
(if real (or real (<= f64 (+ f64 (+ f64 h0 h1) (/ f64 (* f64 h1 (- f64 h3 h2)) (- f64 h4 h3))) -413206317255453/62977615730245738786737893213810516180854717020526113763804520252546537227240188059141308771092556464037227033764973721370976872384868328243558285053126761544750533580661426087466659268906884318950680840994261312979224716752953736643600094171409186898414919483392) (not real (<= f64 (+ f64 (+ f64 h0 h1) (/ f64 (* f64 h1 (- f64 h3 h2)) (- f64 h4 h3))) 0))) (- f64 h0 (* f64 h1 (+ f64 (/ f64 h2 (- f64 h4 h3)) (- f64 (<= (=> (neg f64 (neg f64 -1)))) (/ f64 h3 (- f64 h4 h3)))))) (+ f64 h0 (/ f64 h1 (/ f64 h3 (- f64 h2 h4)))))
remove-double-neg_binary64_10637 =>
(if real (or real (<= f64 (+ f64 (+ f64 h0 h1) (/ f64 (* f64 h1 (- f64 h3 h2)) (- f64 h4 h3))) -413206317255453/62977615730245738786737893213810516180854717020526113763804520252546537227240188059141308771092556464037227033764973721370976872384868328243558285053126761544750533580661426087466659268906884318950680840994261312979224716752953736643600094171409186898414919483392) (not real (<= f64 (+ f64 (+ f64 h0 h1) (/ f64 (* f64 h1 (- f64 h3 h2)) (- f64 h4 h3))) 0))) (- f64 h0 (* f64 h1 (+ f64 (/ f64 h2 (- f64 h4 h3)) (- f64 -1 (/ f64 h3 (- f64 h4 h3)))))) (+ f64 h0 (/ f64 h1 (/ f64 h3 (- f64 h2 h4)))))

end0.0ms (0%)

sample2.6s (16.9%)

Algorithm

1×

intervals

Results

273.0ms	6754×	body	128	valid
62.0ms	382×	body	1024	valid
51.0ms	447×	body	512	valid
35.0ms	366×	body	256	valid
27.0ms	704×	body	128	invalid
9.0ms	51×	body	2048	valid

Compiler

Compiled 2137 to 1544 computations (27.7% saved)

Iter	Nodes	Cost
0	30	88
1	49	88
2	67	88
3	85	88
4	100	88
5	117	88
6	138	88
7	146	88
8	223	88
9	304	88
10	266	88
11	285	88
12	303	88
13	333	88
14	366	88
15	394	88
16	401	88
17	405	88
18	406	88

Iter	Nodes	Cost
0	30	88
1	49	88
2	67	88
3	85	88
4	100	88
5	117	88
6	138	88
7	146	88
8	223	88
9	304	88
10	266	88
11	285	88
12	303	88
13	333	88
14	366	88
15	394	88
16	401	88
17	405	88
18	406	88

Details

analyze996.0ms (6.5%)

sample28.0ms (0.2%)

simplify452.0ms (3%)

prune12.0ms (0.1%)

localize9.0ms (0.1%)

rewrite189.0ms (1.2%)

series2.0s (12.8%)

simplify794.0ms (5.2%)

prune586.0ms (3.8%)

localize12.0ms (0.1%)

rewrite206.0ms (1.4%)

series1.2s (7.7%)

simplify770.0ms (5%)

prune510.0ms (3.3%)

localize9.0ms (0.1%)

rewrite219.0ms (1.4%)

series873.0ms (5.7%)

simplify367.0ms (2.4%)

prune507.0ms (3.3%)

localize9.0ms (0.1%)

rewrite90.0ms (0.6%)

series733.0ms (4.8%)

simplify325.0ms (2.1%)

prune348.0ms (2.3%)

regimes1.4s (9.4%)

bsearch5.0ms (0%)

simplify65.0ms (0.4%)

end0.0ms (0%)

sample2.6s (16.9%)

Profiling

Iter	Nodes	Cost
0	30	88
1	49	88
2	67	88
3	85	88
4	100	88
5	117	88
6	138	88
7	146	88
8	223	88
9	304	88
10	266	88
11	285	88
12	303	88
13	333	88
14	366	88
15	394	88
16	401	88
17	405	88
18	406	88