Details

analyze1.3s (4.4%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	99.7%	0.3%	8
0%	99.7%	0.3%	9
0%	99.7%	0.3%	10
0.6%	99.1%	0.3%	11
1.8%	98%	0.3%	12
2.6%	97.1%	0.3%	13
4%	95.7%	0.3%	14

Compiler

Compiled 18 to 15 computations (16.7% saved)

sample32.0ms (0.1%)

Algorithm

1×

intervals

Results

17.0ms	256×	body	128	valid
1.0ms	12×	body	128	invalid

Compiler

Compiled 35 to 35 computations (0% saved)

simplify722.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

956×	`exp-prod_binary64_16839`
634×	`times-frac_binary64_16793`
267×	`swap-sqr_binary64_16754` `associate-/r*_binary64_16731`
217×	`distribute-rgt-in_binary64_16737`
216×	`distribute-rgt-neg-in_binary64_16745`
166×	`*-commutative_binary64_16718`
156×	`sub-neg_binary64_16780`
140×	`associate-/l/_binary64_16734`
137×	`cancel-sign-sub-inv_binary64_16753`
135×	`div-sub_binary64_16792`
115×	`distribute-lft-in_binary64_16736`
113×	`associate-r_binary64_16727`
101×	`associate-+l+_binary64_16720`
99×	`distribute-rgt-out_binary64_16740` `associate--r+_binary64_16723`
95×	`associate-+r+_binary64_16719`
94×	`pow-plus_binary64_16850`
91×	`distribute-lft-neg-in_binary64_16744`
83×	`distribute-rgt1-in_binary64_16743`
82×	`unsub-neg_binary64_16781`
72×	`associate--l+_binary64_16724`
70×	`distribute-rgt-out--_binary64_16741`
69×	`associate-l_binary64_16728`
67×	`associate-+l-_binary64_16722`
59×	`+-commutative_binary64_16717`
57×	`exp-diff_binary64_16835`
53×	`distribute-neg-in_binary64_16748`
51×	`neg-mul-1_binary64_16783`
45×	`neg-sub0_binary64_16782`
44×	`distribute-rgt-neg-out_binary64_16747` `distribute-lft-out_binary64_16738`
40×	`distribute-lft-out--_binary64_16739`
39×	`distribute-lft-neg-out_binary64_16746`
29×	`associate-+r-_binary64_16721`
27×	`associate-/r/_binary64_16733`
19×	`associate-/l*_binary64_16732`
18×	`sub0-neg_binary64_16774`
14×	`distribute-frac-neg_binary64_16750`
13×	`distribute-neg-out_binary64_16749` `associate--r-_binary64_16726`
12×	`exp-lft-sqr_binary64_16842` `distribute-lft1-in_binary64_16742` `associate--l-_binary64_16725`
11×	`sqr-pow_binary64_16759` `distribute-neg-frac_binary64_16751`
10×	`mul0-lft_binary64_16769`
9×	`pow-base-1_binary64_16847` `remove-double-neg_binary64_16775` `+-rgt-identity_binary64_16772`
8×	`+-inverses_binary64_16766` `count-2_binary64_16735`
7×	`mul0-rgt_binary64_16770`
6×	`exp-sum_binary64_16833` `--rgt-identity_binary64_16773`
5×	`+-lft-identity_binary64_16771`
4×	`cube-unmult_binary64_16824` `div0_binary64_16768` `pow-sqr_binary64_16760`
3×	`*-rgt-identity_binary64_16777`
2×	`cube-prod_binary64_16815` `*-lft-identity_binary64_16776` `difference-of-squares_binary64_16756` `unswap-sqr_binary64_16755`
1×	`exp-sqrt_binary64_16840` `1-exp_binary64_16831` `sqr-neg_binary64_16801`
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_17050` `erf-erfc_binary64_17049` `erf-odd_binary64_17048` `if-if-and-not_binary64_17047` `if-if-and_binary64_17046` `if-if-or-not_binary64_17045` `if-if-or_binary64_17044` `if-not_binary64_17043` `if-same_binary64_17042` `if-false_binary64_17041` `if-true_binary64_17040` `not-gte_binary64_17039` `not-lte_binary64_17038` `not-gt_binary64_17037` `not-lt_binary64_17036` `gte-same_binary64_17035` `lte-same_binary64_17034` `gt-same_binary64_17033` `lt-same_binary64_17032` `sinh---cosh_binary64_16979` `sinh-+-cosh_binary64_16978` `sinh-cosh_binary64_16977` `tanh-def-c_binary64_16976` `tanh-def-b_binary64_16975` `tanh-def-a_binary64_16974` `cosh-def_binary64_16973` `sinh-def_binary64_16972` `tan-neg_binary64_16919` `cos-neg_binary64_16918` `sin-neg_binary64_16917` `tan-0_binary64_16916` `cos-0_binary64_16915` `sin-0_binary64_16914` `hang-m-tan_binary64_16913` `hang-p-tan_binary64_16912` `hang-m0-tan_binary64_16911` `hang-p0-tan_binary64_16910` `hang-0m-tan_binary64_16909` `hang-0p-tan_binary64_16908` `tan-+PI/2_binary64_16907` `tan-+PI_binary64_16906` `tan-PI_binary64_16905` `tan-PI/3_binary64_16904` `tan-PI/4_binary64_16903` `tan-PI/6_binary64_16902` `cos-+PI/2_binary64_16901` `cos-+PI_binary64_16900` `cos-PI_binary64_16899` `cos-PI/2_binary64_16898` `cos-PI/3_binary64_16897` `cos-PI/4_binary64_16896` `cos-PI/6_binary64_16895` `sin-+PI/2_binary64_16894` `sin-+PI_binary64_16893` `sin-PI_binary64_16892` `sin-PI/2_binary64_16891` `sin-PI/3_binary64_16890` `sin-PI/4_binary64_16889` `sin-PI/6_binary64_16888` `sub-1-sin_binary64_16887` `sub-1-cos_binary64_16886` `-1-add-sin_binary64_16885` `-1-add-cos_binary64_16884` `1-sub-sin_binary64_16883` `1-sub-cos_binary64_16882` `cos-sin-sum_binary64_16881` `log-E_binary64_16877` `log-pow_binary64_16876` `log-rec_binary64_16875` `log-div_binary64_16874` `log-prod_binary64_16873` `pow-base-0_binary64_16871` `unpow1/3_binary64_16854` `unpow3_binary64_16853` `unpow2_binary64_16852` `unpow1/2_binary64_16851` `exp-to-pow_binary64_16849` `unpow0_binary64_16846` `unpow1_binary64_16845` `unpow-1_binary64_16844` `exp-lft-cube_binary64_16843` `exp-cbrt_binary64_16841` `div-exp_binary64_16838` `rec-exp_binary64_16837` `prod-exp_binary64_16836` `exp-neg_binary64_16834` `e-exp-1_binary64_16832` `exp-1-e_binary64_16830` `exp-0_binary64_16829` `rem-log-exp_binary64_16828` `rem-exp-log_binary64_16827` `cube-mult_binary64_16817` `cube-div_binary64_16816` `cube-neg_binary64_16814` `rem-3cbrt-rft_binary64_16813` `rem-3cbrt-lft_binary64_16812` `rem-cbrt-cube_binary64_16811` `rem-cube-cbrt_binary64_16810` `sqr-abs_binary64_16802` `rem-sqrt-square_binary64_16800` `rem-square-sqrt_binary64_16799` `mul-1-neg_binary64_16779` `/-rgt-identity_binary64_16778` `-inverses_binary64_16767` `lft-mult-inverse_binary64_16765` `rgt-mult-inverse_binary64_16764` `remove-double-div_binary64_16763` `difference-of-sqr--1_binary64_16758` `difference-of-sqr-1_binary64_16757` `cancel-sign-sub_binary64_16752` `associate-l/_binary64_16730` `associate-*r/_binary64_16729`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	25
1	24	25
2	44	25
3	85	25
4	129	25
5	199	25
6	375	25
7	1182	25
8	3898	25

prune4.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

22.3b

Counts

2 → 1

Compiler

Compiled 34 to 28 computations (17.6% saved)

localize13.0ms (0%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 z (-.f64 b y))
0.0b	(*.f64 z (-.f64 t a))
0.3b	(+.f64 (.f64 x y) (.f64 z (-.f64 t a)))
21.5b	(/.f64 (+.f64 (.f64 x y) (.f64 z (-.f64 t a))) (+.f64 y (*.f64 z (-.f64 b y))))

rewrite188.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

22.1b

Rules

30×	`add-sqr-sqrt_binary64_16809`
26×	`*-un-lft-identity_binary64_16787`
22×	`add-cube-cbrt_binary64_16822`
18×	`cancel-sign-sub-inv_binary64_16753`
12×	`distribute-rgt-in_binary64_16737` `distribute-lft-in_binary64_16736`
10×	`add-exp-log_binary64_16825` `add-cbrt-cube_binary64_16823` `associate-r_binary64_16727`
9×	`times-frac_binary64_16793`
8×	`pow1_binary64_16848` `associate-+r+_binary64_16719`
6×	`add-log-exp_binary64_16826` `sub-neg_binary64_16780` `associate-l_binary64_16728`
4×	`associate-*r/_binary64_16729`
3×	`flip3-+_binary64_16790` `flip-+_binary64_16761` `associate-/l_binary64_16732` `associate-/r_binary64_16731`
2×	`associate-/l/_binary64_16734` `associate-/r/_binary64_16733` `pow-prod-down_binary64_16858` `prod-exp_binary64_16836` `cbrt-unprod_binary64_16820` `unswap-sqr_binary64_16755` `flip3--_binary64_16791` `flip--_binary64_16762` `difference-of-squares_binary64_16756` `distribute-lft-out--_binary64_16739` `*-commutative_binary64_16718`
1×	`div-exp_binary64_16838` `cbrt-undiv_binary64_16821` `frac-2neg_binary64_16798` `clear-num_binary64_16786` `div-inv_binary64_16784` `sum-log_binary64_16878` `+-commutative_binary64_16717`

Counts

4 → 110

Calls

4 calls:

9.0ms	(+.f64 (.f64 x y) (.f64 z (-.f64 t a)))
9.0ms	(/.f64 (+.f64 (.f64 x y) (.f64 z (-.f64 t a))) (+.f64 y (*.f64 z (-.f64 b y))))
7.0ms	(*.f64 z (-.f64 b y))
7.0ms	(*.f64 z (-.f64 t a))

Compiler

Compiled 2937 to 511 computations (82.6% saved)

series2.4s (8%)

Error

2.1b

Counts

4 → 101

Calls

4 calls:

1.5s	(/.f64 (+.f64 (.f64 x y) (.f64 z (-.f64 t a))) (+.f64 y (*.f64 z (-.f64 b y))))
386.0ms	(+.f64 (.f64 x y) (.f64 z (-.f64 t a)))
166.0ms	(*.f64 z (-.f64 b y))
150.0ms	(*.f64 z (-.f64 t a))

Compiler

Compiled 8393 to 4658 computations (44.5% saved)

simplify584.0ms (2%)

Algorithm

1×	egg-herbie

Rules

400×	`times-frac_binary64_16793`
300×	`associate-/r*_binary64_16731`
279×	`associate-l_binary64_16728`
270×	`associate-r_binary64_16727`
249×	`associate-/l*_binary64_16732`
176×	`associate-+l+_binary64_16720`
115×	`distribute-rgt-in_binary64_16737`
106×	`distribute-lft-in_binary64_16736`
102×	`associate--r+_binary64_16723`
99×	`associate--l+_binary64_16724`
91×	`sub-neg_binary64_16780`
85×	`*-commutative_binary64_16718` `+-commutative_binary64_16717`
59×	`associate-*l/_binary64_16730`
57×	`associate-/r/_binary64_16733`
55×	`cancel-sign-sub-inv_binary64_16753` `associate-+r+_binary64_16719`
45×	`neg-sub0_binary64_16782`
44×	`distribute-neg-in_binary64_16748`
41×	`unswap-sqr_binary64_16755` `associate-*r/_binary64_16729`
40×	`neg-mul-1_binary64_16783`
39×	`sqr-pow_binary64_16759` `distribute-rgt-neg-in_binary64_16745`
31×	`associate-/l/_binary64_16734`
26×	`distribute-lft-neg-in_binary64_16744`
22×	`div-sub_binary64_16792`
20×	`distribute-lft-neg-out_binary64_16746`
17×	`pow-sqr_binary64_16760`
12×	`unpow3_binary64_16853`
11×	`cube-mult_binary64_16817` `distribute-rgt-neg-out_binary64_16747`
10×	`difference-of-squares_binary64_16756`
8×	`exp-prod_binary64_16839`
7×	`unpow2_binary64_16852` `mul-1-neg_binary64_16779` `swap-sqr_binary64_16754`
6×	`cube-prod_binary64_16815`
5×	`pow-plus_binary64_16850`
4×	`log-prod_binary64_16873` `exp-sum_binary64_16833` `/-rgt-identity_binary64_16778` `distribute-rgt-out_binary64_16740` `associate--r-_binary64_16726` `associate-+l-_binary64_16722` `associate-+r-_binary64_16721`
3×	`exp-diff_binary64_16835` `cube-unmult_binary64_16824` `distribute-neg-frac_binary64_16751` `distribute-rgt-out--_binary64_16741`
2×	`log-div_binary64_16874` `rem-3cbrt-lft_binary64_16812` `rem-square-sqrt_binary64_16799` `unsub-neg_binary64_16781` `-rgt-identity_binary64_16777` `-lft-identity_binary64_16776`
1×	`div-exp_binary64_16838` `rec-exp_binary64_16837` `prod-exp_binary64_16836` `1-exp_binary64_16831` `*-inverses_binary64_16767` `distribute-rgt1-in_binary64_16743` `distribute-lft1-in_binary64_16742` `distribute-lft-out--_binary64_16739` `associate--l-_binary64_16725`
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_17050` `erf-erfc_binary64_17049` `erf-odd_binary64_17048` `if-if-and-not_binary64_17047` `if-if-and_binary64_17046` `if-if-or-not_binary64_17045` `if-if-or_binary64_17044` `if-not_binary64_17043` `if-same_binary64_17042` `if-false_binary64_17041` `if-true_binary64_17040` `not-gte_binary64_17039` `not-lte_binary64_17038` `not-gt_binary64_17037` `not-lt_binary64_17036` `gte-same_binary64_17035` `lte-same_binary64_17034` `gt-same_binary64_17033` `lt-same_binary64_17032` `sinh---cosh_binary64_16979` `sinh-+-cosh_binary64_16978` `sinh-cosh_binary64_16977` `tanh-def-c_binary64_16976` `tanh-def-b_binary64_16975` `tanh-def-a_binary64_16974` `cosh-def_binary64_16973` `sinh-def_binary64_16972` `tan-neg_binary64_16919` `cos-neg_binary64_16918` `sin-neg_binary64_16917` `tan-0_binary64_16916` `cos-0_binary64_16915` `sin-0_binary64_16914` `hang-m-tan_binary64_16913` `hang-p-tan_binary64_16912` `hang-m0-tan_binary64_16911` `hang-p0-tan_binary64_16910` `hang-0m-tan_binary64_16909` `hang-0p-tan_binary64_16908` `tan-+PI/2_binary64_16907` `tan-+PI_binary64_16906` `tan-PI_binary64_16905` `tan-PI/3_binary64_16904` `tan-PI/4_binary64_16903` `tan-PI/6_binary64_16902` `cos-+PI/2_binary64_16901` `cos-+PI_binary64_16900` `cos-PI_binary64_16899` `cos-PI/2_binary64_16898` `cos-PI/3_binary64_16897` `cos-PI/4_binary64_16896` `cos-PI/6_binary64_16895` `sin-+PI/2_binary64_16894` `sin-+PI_binary64_16893` `sin-PI_binary64_16892` `sin-PI/2_binary64_16891` `sin-PI/3_binary64_16890` `sin-PI/4_binary64_16889` `sin-PI/6_binary64_16888` `sub-1-sin_binary64_16887` `sub-1-cos_binary64_16886` `-1-add-sin_binary64_16885` `-1-add-cos_binary64_16884` `1-sub-sin_binary64_16883` `1-sub-cos_binary64_16882` `cos-sin-sum_binary64_16881` `log-E_binary64_16877` `log-pow_binary64_16876` `log-rec_binary64_16875` `pow-base-0_binary64_16871` `unpow1/3_binary64_16854` `unpow1/2_binary64_16851` `exp-to-pow_binary64_16849` `pow-base-1_binary64_16847` `unpow0_binary64_16846` `unpow1_binary64_16845` `unpow-1_binary64_16844` `exp-lft-cube_binary64_16843` `exp-lft-sqr_binary64_16842` `exp-cbrt_binary64_16841` `exp-sqrt_binary64_16840` `exp-neg_binary64_16834` `e-exp-1_binary64_16832` `exp-1-e_binary64_16830` `exp-0_binary64_16829` `rem-log-exp_binary64_16828` `rem-exp-log_binary64_16827` `cube-div_binary64_16816` `cube-neg_binary64_16814` `rem-3cbrt-rft_binary64_16813` `rem-cbrt-cube_binary64_16811` `rem-cube-cbrt_binary64_16810` `sqr-abs_binary64_16802` `sqr-neg_binary64_16801` `rem-sqrt-square_binary64_16800` `remove-double-neg_binary64_16775` `sub0-neg_binary64_16774` `--rgt-identity_binary64_16773` `+-rgt-identity_binary64_16772` `+-lft-identity_binary64_16771` `mul0-rgt_binary64_16770` `mul0-lft_binary64_16769` `div0_binary64_16768` `+-inverses_binary64_16766` `lft-mult-inverse_binary64_16765` `rgt-mult-inverse_binary64_16764` `remove-double-div_binary64_16763` `difference-of-sqr--1_binary64_16758` `difference-of-sqr-1_binary64_16757` `cancel-sign-sub_binary64_16752` `distribute-frac-neg_binary64_16750` `distribute-neg-out_binary64_16749` `distribute-lft-out_binary64_16738` `count-2_binary64_16735`

Counts

211 → 241

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	407	5114
1	1261	4940

prune314.0ms (1.1%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	230	11	241
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	231	11	242

Error

0.0b

Counts

242 → 11

Compiler

Compiled 8058 to 1432 computations (82.2% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (/.f64 (.f64 y x) (+.f64 y (.f64 z (-.f64 b y)))) (/.f64 z (/.f64 (+.f64 y (*.f64 z (-.f64 b y))) (-.f64 t a))))
6.0b	(/.f64 (+.f64 y (*.f64 z (-.f64 b y))) (-.f64 t a))
9.3b	(/.f64 z (/.f64 (+.f64 y (*.f64 z (-.f64 b y))) (-.f64 t a)))
12.5b	(/.f64 (.f64 y x) (+.f64 y (.f64 z (-.f64 b y))))

rewrite323.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

141×	`times-frac_binary64_16793`
108×	`*-un-lft-identity_binary64_16787`
106×	`add-sqr-sqrt_binary64_16809`
74×	`add-cube-cbrt_binary64_16822`
29×	`associate-/r*_binary64_16731`
16×	`add-exp-log_binary64_16825` `add-cbrt-cube_binary64_16823` `difference-of-squares_binary64_16756` `distribute-lft-out--_binary64_16739`
13×	`associate-/r/_binary64_16733`
7×	`div-inv_binary64_16784` `associate-/l*_binary64_16732`
6×	`div-exp_binary64_16838` `add-log-exp_binary64_16826` `cbrt-undiv_binary64_16821`
5×	`flip3--_binary64_16791` `flip--_binary64_16762`
4×	`pow1_binary64_16848`
3×	`frac-2neg_binary64_16798` `clear-num_binary64_16786` `flip3-+_binary64_16790` `flip-+_binary64_16761`
2×	`associate-/l/_binary64_16734`
1×	`prod-exp_binary64_16836` `cbrt-unprod_binary64_16820` `sum-log_binary64_16878` `frac-add_binary64_16795` `distribute-lft-out_binary64_16738` `+-commutative_binary64_16717`

Counts

4 → 177

Calls

4 calls:

41.0ms	(+.f64 (/.f64 (.f64 y x) (+.f64 y (.f64 z (-.f64 b y)))) (/.f64 z (/.f64 (+.f64 y (*.f64 z (-.f64 b y))) (-.f64 t a))))
13.0ms	(/.f64 z (/.f64 (+.f64 y (*.f64 z (-.f64 b y))) (-.f64 t a)))
8.0ms	(/.f64 (+.f64 y (*.f64 z (-.f64 b y))) (-.f64 t a))
6.0ms	(/.f64 (.f64 y x) (+.f64 y (.f64 z (-.f64 b y))))

Compiler

Compiled 7134 to 868 computations (87.8% saved)

series4.3s (14.4%)

Error

0.0b

Counts

4 → 120

Calls

4 calls:

2.2s	(+.f64 (/.f64 (.f64 y x) (+.f64 y (.f64 z (-.f64 b y)))) (/.f64 z (/.f64 (+.f64 y (*.f64 z (-.f64 b y))) (-.f64 t a))))
756.0ms	(/.f64 z (/.f64 (+.f64 y (*.f64 z (-.f64 b y))) (-.f64 t a)))
720.0ms	(/.f64 (+.f64 y (*.f64 z (-.f64 b y))) (-.f64 t a))
437.0ms	(/.f64 (.f64 y x) (+.f64 y (.f64 z (-.f64 b y))))

Compiler

Compiled 13120 to 6739 computations (48.6% saved)

simplify714.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

512×	`associate-/l*_binary64_16732`
505×	`times-frac_binary64_16793`
325×	`associate-/r/_binary64_16733`
318×	`associate-/r*_binary64_16731`
256×	`associate-/l/_binary64_16734`
138×	`sub-neg_binary64_16780`
125×	`distribute-rgt-in_binary64_16737`
111×	`distribute-lft-in_binary64_16736`
104×	`+-commutative_binary64_16717`
69×	`*-commutative_binary64_16718`
64×	`neg-sub0_binary64_16782`
57×	`associate-+r+_binary64_16719`
55×	`neg-mul-1_binary64_16783` `distribute-neg-in_binary64_16748`
52×	`cancel-sign-sub-inv_binary64_16753`
47×	`distribute-neg-frac_binary64_16751`
42×	`sqr-pow_binary64_16759`
37×	`unswap-sqr_binary64_16755`
32×	`distribute-rgt-neg-in_binary64_16745`
26×	`associate--l+_binary64_16724`
25×	`div-sub_binary64_16792` `distribute-lft-neg-in_binary64_16744`
21×	`associate-*r/_binary64_16729`
20×	`associate--r+_binary64_16723`
19×	`pow-sqr_binary64_16760`
18×	`associate-r_binary64_16727`
15×	`mul-1-neg_binary64_16779`
13×	`unpow3_binary64_16853`
11×	`associate-l_binary64_16728`
10×	`unpow2_binary64_16852` `/-rgt-identity_binary64_16778`
9×	`log-div_binary64_16874` `cube-mult_binary64_16817` `cube-div_binary64_16816`
8×	`difference-of-squares_binary64_16756`
7×	`pow-plus_binary64_16850` `distribute-lft-neg-out_binary64_16746`
6×	`distribute-rgt-out--_binary64_16741`
5×	`cube-prod_binary64_16815` `swap-sqr_binary64_16754`
4×	`cube-unmult_binary64_16824` `distribute-rgt-out_binary64_16740` `associate-*l/_binary64_16730`
3×	`log-prod_binary64_16873` `unsub-neg_binary64_16781` `remove-double-div_binary64_16763`
2×	`prod-exp_binary64_16836` `distribute-rgt1-in_binary64_16743` `distribute-lft-out_binary64_16738` `associate-+r-_binary64_16721`
1×	`exp-prod_binary64_16839` `div-exp_binary64_16838` `rec-exp_binary64_16837` `1-exp_binary64_16831` `*-inverses_binary64_16767` `associate--r-_binary64_16726`
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_17050` `erf-erfc_binary64_17049` `erf-odd_binary64_17048` `if-if-and-not_binary64_17047` `if-if-and_binary64_17046` `if-if-or-not_binary64_17045` `if-if-or_binary64_17044` `if-not_binary64_17043` `if-same_binary64_17042` `if-false_binary64_17041` `if-true_binary64_17040` `not-gte_binary64_17039` `not-lte_binary64_17038` `not-gt_binary64_17037` `not-lt_binary64_17036` `gte-same_binary64_17035` `lte-same_binary64_17034` `gt-same_binary64_17033` `lt-same_binary64_17032` `sinh---cosh_binary64_16979` `sinh-+-cosh_binary64_16978` `sinh-cosh_binary64_16977` `tanh-def-c_binary64_16976` `tanh-def-b_binary64_16975` `tanh-def-a_binary64_16974` `cosh-def_binary64_16973` `sinh-def_binary64_16972` `tan-neg_binary64_16919` `cos-neg_binary64_16918` `sin-neg_binary64_16917` `tan-0_binary64_16916` `cos-0_binary64_16915` `sin-0_binary64_16914` `hang-m-tan_binary64_16913` `hang-p-tan_binary64_16912` `hang-m0-tan_binary64_16911` `hang-p0-tan_binary64_16910` `hang-0m-tan_binary64_16909` `hang-0p-tan_binary64_16908` `tan-+PI/2_binary64_16907` `tan-+PI_binary64_16906` `tan-PI_binary64_16905` `tan-PI/3_binary64_16904` `tan-PI/4_binary64_16903` `tan-PI/6_binary64_16902` `cos-+PI/2_binary64_16901` `cos-+PI_binary64_16900` `cos-PI_binary64_16899` `cos-PI/2_binary64_16898` `cos-PI/3_binary64_16897` `cos-PI/4_binary64_16896` `cos-PI/6_binary64_16895` `sin-+PI/2_binary64_16894` `sin-+PI_binary64_16893` `sin-PI_binary64_16892` `sin-PI/2_binary64_16891` `sin-PI/3_binary64_16890` `sin-PI/4_binary64_16889` `sin-PI/6_binary64_16888` `sub-1-sin_binary64_16887` `sub-1-cos_binary64_16886` `-1-add-sin_binary64_16885` `-1-add-cos_binary64_16884` `1-sub-sin_binary64_16883` `1-sub-cos_binary64_16882` `cos-sin-sum_binary64_16881` `log-E_binary64_16877` `log-pow_binary64_16876` `log-rec_binary64_16875` `pow-base-0_binary64_16871` `unpow1/3_binary64_16854` `unpow1/2_binary64_16851` `exp-to-pow_binary64_16849` `pow-base-1_binary64_16847` `unpow0_binary64_16846` `unpow1_binary64_16845` `unpow-1_binary64_16844` `exp-lft-cube_binary64_16843` `exp-lft-sqr_binary64_16842` `exp-cbrt_binary64_16841` `exp-sqrt_binary64_16840` `exp-diff_binary64_16835` `exp-neg_binary64_16834` `exp-sum_binary64_16833` `e-exp-1_binary64_16832` `exp-1-e_binary64_16830` `exp-0_binary64_16829` `rem-log-exp_binary64_16828` `rem-exp-log_binary64_16827` `cube-neg_binary64_16814` `rem-3cbrt-rft_binary64_16813` `rem-3cbrt-lft_binary64_16812` `rem-cbrt-cube_binary64_16811` `rem-cube-cbrt_binary64_16810` `sqr-abs_binary64_16802` `sqr-neg_binary64_16801` `rem-sqrt-square_binary64_16800` `rem-square-sqrt_binary64_16799` `-rgt-identity_binary64_16777` `-lft-identity_binary64_16776` `remove-double-neg_binary64_16775` `sub0-neg_binary64_16774` `--rgt-identity_binary64_16773` `+-rgt-identity_binary64_16772` `+-lft-identity_binary64_16771` `mul0-rgt_binary64_16770` `mul0-lft_binary64_16769` `div0_binary64_16768` `+-inverses_binary64_16766` `lft-mult-inverse_binary64_16765` `rgt-mult-inverse_binary64_16764` `difference-of-sqr--1_binary64_16758` `difference-of-sqr-1_binary64_16757` `cancel-sign-sub_binary64_16752` `distribute-frac-neg_binary64_16750` `distribute-neg-out_binary64_16749` `distribute-rgt-neg-out_binary64_16747` `distribute-lft1-in_binary64_16742` `distribute-lft-out--_binary64_16739` `count-2_binary64_16735` `associate--l-_binary64_16725` `associate-+l-_binary64_16722` `associate-+l+_binary64_16720`

Counts

297 → 558

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	593	10717
1	1729	10339

prune747.0ms (2.5%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	555	3	558
Fresh	3	7	10
Picked	1	0	1
Done	0	0	0
Total	559	10	569

Error

0.0b

Counts

569 → 10

Compiler

Compiled 23630 to 2486 computations (89.5% saved)

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 z)
8.0b	(.f64 (/.f64 (.f64 (cbrt.f64 z) (cbrt.f64 z)) (+.f64 y (.f64 z (-.f64 b y)))) (.f64 (cbrt.f64 z) (-.f64 t a)))
8.2b	(/.f64 (.f64 (cbrt.f64 z) (cbrt.f64 z)) (+.f64 y (.f64 z (-.f64 b y))))
12.5b	(/.f64 (.f64 y x) (+.f64 y (.f64 z (-.f64 b y))))

rewrite188.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

35×	`add-exp-log_binary64_16825`
26×	`add-cbrt-cube_binary64_16823`
16×	`distribute-rgt-in_binary64_16737` `distribute-lft-in_binary64_16736`
15×	`add-cube-cbrt_binary64_16822` `add-sqr-sqrt_binary64_16809` `*-un-lft-identity_binary64_16787`
13×	`prod-exp_binary64_16836` `cbrt-unprod_binary64_16820`
12×	`cancel-sign-sub-inv_binary64_16753`
9×	`pow1_binary64_16848` `times-frac_binary64_16793` `associate-l_binary64_16728`
8×	`div-exp_binary64_16838` `cbrt-undiv_binary64_16821`
6×	`associate-/r/_binary64_16733` `associate-/r_binary64_16731` `associate-r/_binary64_16729`
4×	`add-log-exp_binary64_16826` `sub-neg_binary64_16780`
3×	`div-inv_binary64_16784` `flip3-+_binary64_16790` `flip-+_binary64_16761` `pow-prod-down_binary64_16858` `cbrt-prod_binary64_16818`
2×	`frac-2neg_binary64_16798` `clear-num_binary64_16786` `associate-/l*_binary64_16732` `flip3--_binary64_16791` `frac-times_binary64_16797` `flip--_binary64_16762`
1×	`associate-l/_binary64_16730` `associate-r_binary64_16727` `-commutative_binary64_16718` `pow1/3_binary64_16869`

Counts

4 → 110

Calls

4 calls:

15.0ms	(.f64 (/.f64 (.f64 (cbrt.f64 z) (cbrt.f64 z)) (+.f64 y (.f64 z (-.f64 b y)))) (.f64 (cbrt.f64 z) (-.f64 t a)))
8.0ms	(/.f64 (.f64 (cbrt.f64 z) (cbrt.f64 z)) (+.f64 y (.f64 z (-.f64 b y))))
6.0ms	(/.f64 (.f64 y x) (+.f64 y (.f64 z (-.f64 b y))))
1.0ms	(cbrt.f64 z)

Compiler

Compiled 4929 to 528 computations (89.3% saved)

series1.8s (6.2%)

Error

0.0b

Counts

4 → 65

Calls

4 calls:

831.0ms	(.f64 (/.f64 (.f64 (cbrt.f64 z) (cbrt.f64 z)) (+.f64 y (.f64 z (-.f64 b y)))) (.f64 (cbrt.f64 z) (-.f64 t a)))
414.0ms	(/.f64 (.f64 y x) (+.f64 y (.f64 z (-.f64 b y))))
385.0ms	(/.f64 (.f64 (cbrt.f64 z) (cbrt.f64 z)) (+.f64 y (.f64 z (-.f64 b y))))
112.0ms	(cbrt.f64 z)

Compiler

Compiled 7322 to 4056 computations (44.6% saved)

simplify907.0ms (3%)

Algorithm

1×	egg-herbie

Rules

447×	`associate-l_binary64_16728`
382×	`associate-r_binary64_16727`
340×	`times-frac_binary64_16793`
327×	`associate-/l*_binary64_16732`
231×	`associate-/r*_binary64_16731`
181×	`associate-*l/_binary64_16730`
130×	`associate-*r/_binary64_16729`
102×	`*-commutative_binary64_16718`
87×	`associate-/r/_binary64_16733`
80×	`distribute-rgt-in_binary64_16737`
72×	`associate-/l/_binary64_16734`
65×	`distribute-lft-in_binary64_16736`
60×	`sub-neg_binary64_16780`
47×	`neg-sub0_binary64_16782`
44×	`distribute-rgt-neg-in_binary64_16745`
43×	`sqr-pow_binary64_16759`
40×	`neg-mul-1_binary64_16783`
38×	`cancel-sign-sub-inv_binary64_16753`
36×	`associate--l+_binary64_16724`
35×	`distribute-neg-frac_binary64_16751`
33×	`distribute-lft-neg-in_binary64_16744`
32×	`unswap-sqr_binary64_16755`
30×	`associate--r+_binary64_16723`
28×	`+-commutative_binary64_16717`
27×	`associate-+l+_binary64_16720`
21×	`pow-sqr_binary64_16760`
20×	`distribute-lft-neg-out_binary64_16746`
18×	`distribute-neg-in_binary64_16748`
14×	`div-sub_binary64_16792`
13×	`mul-1-neg_binary64_16779`
12×	`distribute-rgt-neg-out_binary64_16747`
11×	`log-div_binary64_16874`
10×	`cube-unmult_binary64_16824`
9×	`unpow2_binary64_16852`
8×	`swap-sqr_binary64_16754`
7×	`unpow3_binary64_16853` `cube-mult_binary64_16817`
6×	`log-prod_binary64_16873` `associate-+r+_binary64_16719`
5×	`unpow1/3_binary64_16854`
4×	`exp-prod_binary64_16839` `unsub-neg_binary64_16781` `/-rgt-identity_binary64_16778` `difference-of-squares_binary64_16756` `associate-+r-_binary64_16721`
3×	`pow-plus_binary64_16850` `-rgt-identity_binary64_16777` `-lft-identity_binary64_16776` `distribute-rgt-out--_binary64_16741` `distribute-lft-out_binary64_16738` `associate-+l-_binary64_16722`
2×	`cube-prod_binary64_16815` `rem-3cbrt-lft_binary64_16812` `distribute-rgt1-in_binary64_16743` `distribute-rgt-out_binary64_16740`
1×	`log-pow_binary64_16876` `1-exp_binary64_16831` `cube-div_binary64_16816` `rem-cube-cbrt_binary64_16810` `rem-sqrt-square_binary64_16800` `rem-square-sqrt_binary64_16799` `*-inverses_binary64_16767` `distribute-frac-neg_binary64_16750` `count-2_binary64_16735`
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_17050` `erf-erfc_binary64_17049` `erf-odd_binary64_17048` `if-if-and-not_binary64_17047` `if-if-and_binary64_17046` `if-if-or-not_binary64_17045` `if-if-or_binary64_17044` `if-not_binary64_17043` `if-same_binary64_17042` `if-false_binary64_17041` `if-true_binary64_17040` `not-gte_binary64_17039` `not-lte_binary64_17038` `not-gt_binary64_17037` `not-lt_binary64_17036` `gte-same_binary64_17035` `lte-same_binary64_17034` `gt-same_binary64_17033` `lt-same_binary64_17032` `sinh---cosh_binary64_16979` `sinh-+-cosh_binary64_16978` `sinh-cosh_binary64_16977` `tanh-def-c_binary64_16976` `tanh-def-b_binary64_16975` `tanh-def-a_binary64_16974` `cosh-def_binary64_16973` `sinh-def_binary64_16972` `tan-neg_binary64_16919` `cos-neg_binary64_16918` `sin-neg_binary64_16917` `tan-0_binary64_16916` `cos-0_binary64_16915` `sin-0_binary64_16914` `hang-m-tan_binary64_16913` `hang-p-tan_binary64_16912` `hang-m0-tan_binary64_16911` `hang-p0-tan_binary64_16910` `hang-0m-tan_binary64_16909` `hang-0p-tan_binary64_16908` `tan-+PI/2_binary64_16907` `tan-+PI_binary64_16906` `tan-PI_binary64_16905` `tan-PI/3_binary64_16904` `tan-PI/4_binary64_16903` `tan-PI/6_binary64_16902` `cos-+PI/2_binary64_16901` `cos-+PI_binary64_16900` `cos-PI_binary64_16899` `cos-PI/2_binary64_16898` `cos-PI/3_binary64_16897` `cos-PI/4_binary64_16896` `cos-PI/6_binary64_16895` `sin-+PI/2_binary64_16894` `sin-+PI_binary64_16893` `sin-PI_binary64_16892` `sin-PI/2_binary64_16891` `sin-PI/3_binary64_16890` `sin-PI/4_binary64_16889` `sin-PI/6_binary64_16888` `sub-1-sin_binary64_16887` `sub-1-cos_binary64_16886` `-1-add-sin_binary64_16885` `-1-add-cos_binary64_16884` `1-sub-sin_binary64_16883` `1-sub-cos_binary64_16882` `cos-sin-sum_binary64_16881` `log-E_binary64_16877` `log-rec_binary64_16875` `pow-base-0_binary64_16871` `unpow1/2_binary64_16851` `exp-to-pow_binary64_16849` `pow-base-1_binary64_16847` `unpow0_binary64_16846` `unpow1_binary64_16845` `unpow-1_binary64_16844` `exp-lft-cube_binary64_16843` `exp-lft-sqr_binary64_16842` `exp-cbrt_binary64_16841` `exp-sqrt_binary64_16840` `div-exp_binary64_16838` `rec-exp_binary64_16837` `prod-exp_binary64_16836` `exp-diff_binary64_16835` `exp-neg_binary64_16834` `exp-sum_binary64_16833` `e-exp-1_binary64_16832` `exp-1-e_binary64_16830` `exp-0_binary64_16829` `rem-log-exp_binary64_16828` `rem-exp-log_binary64_16827` `cube-neg_binary64_16814` `rem-3cbrt-rft_binary64_16813` `rem-cbrt-cube_binary64_16811` `sqr-abs_binary64_16802` `sqr-neg_binary64_16801` `remove-double-neg_binary64_16775` `sub0-neg_binary64_16774` `--rgt-identity_binary64_16773` `+-rgt-identity_binary64_16772` `+-lft-identity_binary64_16771` `mul0-rgt_binary64_16770` `mul0-lft_binary64_16769` `div0_binary64_16768` `+-inverses_binary64_16766` `lft-mult-inverse_binary64_16765` `rgt-mult-inverse_binary64_16764` `remove-double-div_binary64_16763` `difference-of-sqr--1_binary64_16758` `difference-of-sqr-1_binary64_16757` `cancel-sign-sub_binary64_16752` `distribute-neg-out_binary64_16749` `distribute-lft1-in_binary64_16742` `distribute-lft-out--_binary64_16739` `associate--r-_binary64_16726` `associate--l-_binary64_16725`

Counts

175 → 411

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	379	4849
1	1136	3956

prune548.0ms (1.8%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	409	2	411
Fresh	1	8	9
Picked	0	1	1
Done	0	0	0
Total	410	11	421

Error

Counts

421 → 11

Compiler

Compiled 16918 to 1804 computations (89.3% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (/.f64 (.f64 y x) (+.f64 y (.f64 z (-.f64 b y)))) (/.f64 -1 (/.f64 (-.f64 y b) (-.f64 t a))))
0.0b	(/.f64 (-.f64 y b) (-.f64 t a))
0.5b	(/.f64 -1 (/.f64 (-.f64 y b) (-.f64 t a)))
12.5b	(/.f64 (.f64 y x) (+.f64 y (.f64 z (-.f64 b y))))

rewrite413.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

221×	`times-frac_binary64_16793`
200×	`*-un-lft-identity_binary64_16787`
198×	`add-sqr-sqrt_binary64_16809`
94×	`add-cube-cbrt_binary64_16822`
52×	`difference-of-squares_binary64_16756` `distribute-lft-out--_binary64_16739`
39×	`associate-/r*_binary64_16731`
16×	`add-exp-log_binary64_16825` `add-cbrt-cube_binary64_16823`
13×	`associate-/r/_binary64_16733`
9×	`associate-/l*_binary64_16732`
7×	`div-inv_binary64_16784`
6×	`div-exp_binary64_16838` `add-log-exp_binary64_16826` `cbrt-undiv_binary64_16821` `flip3--_binary64_16791` `flip--_binary64_16762`
4×	`pow1_binary64_16848`
3×	`frac-2neg_binary64_16798` `clear-num_binary64_16786`
2×	`flip3-+_binary64_16790` `flip-+_binary64_16761` `associate-/l/_binary64_16734`
1×	`prod-exp_binary64_16836` `cbrt-unprod_binary64_16820` `div-sub_binary64_16792` `sum-log_binary64_16878` `frac-add_binary64_16795` `distribute-lft-out_binary64_16738` `+-commutative_binary64_16717`

Counts

4 → 230

Calls

4 calls:

51.0ms	(+.f64 (/.f64 (.f64 y x) (+.f64 y (.f64 z (-.f64 b y)))) (/.f64 -1 (/.f64 (-.f64 y b) (-.f64 t a))))
12.0ms	(/.f64 -1 (/.f64 (-.f64 y b) (-.f64 t a)))
11.0ms	(/.f64 (-.f64 y b) (-.f64 t a))
6.0ms	(/.f64 (.f64 y x) (+.f64 y (.f64 z (-.f64 b y))))

Compiler

Compiled 7735 to 1809 computations (76.6% saved)

series2.3s (7.9%)

Error

Counts

4 → 94

Calls

4 calls:

1.2s	(+.f64 (/.f64 (.f64 y x) (+.f64 y (.f64 z (-.f64 b y)))) (/.f64 -1 (/.f64 (-.f64 y b) (-.f64 t a))))
389.0ms	(/.f64 (-.f64 y b) (-.f64 t a))
373.0ms	(/.f64 (.f64 y x) (+.f64 y (.f64 z (-.f64 b y))))
319.0ms	(/.f64 -1 (/.f64 (-.f64 y b) (-.f64 t a)))

Compiler

Compiled 6194 to 3569 computations (42.4% saved)

simplify615.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

346×	`div-sub_binary64_16792`
320×	`associate-/l*_binary64_16732`
286×	`associate-/r/_binary64_16733`
276×	`associate-/l/_binary64_16734`
219×	`associate-*l/_binary64_16730`
191×	`*-commutative_binary64_16718`
181×	`times-frac_binary64_16793`
140×	`distribute-rgt-in_binary64_16737`
132×	`distribute-lft-in_binary64_16736`
118×	`associate-*r/_binary64_16729`
117×	`associate-l_binary64_16728`
107×	`associate-r_binary64_16727`
105×	`associate-/r*_binary64_16731`
102×	`+-commutative_binary64_16717`
100×	`sub-neg_binary64_16780`
52×	`associate--l+_binary64_16724`
49×	`neg-sub0_binary64_16782`
43×	`associate--r+_binary64_16723`
42×	`neg-mul-1_binary64_16783`
32×	`associate-+l+_binary64_16720`
30×	`sqr-pow_binary64_16759`
28×	`cancel-sign-sub-inv_binary64_16753` `distribute-neg-in_binary64_16748`
27×	`log-div_binary64_16874` `distribute-neg-frac_binary64_16751`
26×	`cube-div_binary64_16816`
22×	`distribute-rgt-neg-in_binary64_16745`
17×	`prod-exp_binary64_16836` `cube-prod_binary64_16815` `distribute-lft-neg-in_binary64_16744`
16×	`div-exp_binary64_16838`
15×	`unpow3_binary64_16853` `associate-+r+_binary64_16719`
13×	`log-prod_binary64_16873` `mul-1-neg_binary64_16779`
12×	`/-rgt-identity_binary64_16778` `pow-sqr_binary64_16760`
11×	`cube-mult_binary64_16817`
9×	`exp-prod_binary64_16839`
7×	`pow-plus_binary64_16850` `difference-of-squares_binary64_16756`
6×	`unpow2_binary64_16852` `unpow1_binary64_16845` `swap-sqr_binary64_16754`
5×	`cube-unmult_binary64_16824` `distribute-lft-neg-out_binary64_16746`
4×	`log-rec_binary64_16875` `rec-exp_binary64_16837` `exp-sum_binary64_16833` `unswap-sqr_binary64_16755` `associate--r-_binary64_16726`
3×	`unsub-neg_binary64_16781` `remove-double-div_binary64_16763`
2×	`exp-diff_binary64_16835` `cube-neg_binary64_16814` `sqr-neg_binary64_16801` `distribute-frac-neg_binary64_16750` `distribute-rgt1-in_binary64_16743` `distribute-rgt-out--_binary64_16741` `distribute-rgt-out_binary64_16740` `associate-+l-_binary64_16722` `associate-+r-_binary64_16721`
1×	`log-pow_binary64_16876` `1-exp_binary64_16831` `rem-log-exp_binary64_16828` `*-inverses_binary64_16767`
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_17050` `erf-erfc_binary64_17049` `erf-odd_binary64_17048` `if-if-and-not_binary64_17047` `if-if-and_binary64_17046` `if-if-or-not_binary64_17045` `if-if-or_binary64_17044` `if-not_binary64_17043` `if-same_binary64_17042` `if-false_binary64_17041` `if-true_binary64_17040` `not-gte_binary64_17039` `not-lte_binary64_17038` `not-gt_binary64_17037` `not-lt_binary64_17036` `gte-same_binary64_17035` `lte-same_binary64_17034` `gt-same_binary64_17033` `lt-same_binary64_17032` `sinh---cosh_binary64_16979` `sinh-+-cosh_binary64_16978` `sinh-cosh_binary64_16977` `tanh-def-c_binary64_16976` `tanh-def-b_binary64_16975` `tanh-def-a_binary64_16974` `cosh-def_binary64_16973` `sinh-def_binary64_16972` `tan-neg_binary64_16919` `cos-neg_binary64_16918` `sin-neg_binary64_16917` `tan-0_binary64_16916` `cos-0_binary64_16915` `sin-0_binary64_16914` `hang-m-tan_binary64_16913` `hang-p-tan_binary64_16912` `hang-m0-tan_binary64_16911` `hang-p0-tan_binary64_16910` `hang-0m-tan_binary64_16909` `hang-0p-tan_binary64_16908` `tan-+PI/2_binary64_16907` `tan-+PI_binary64_16906` `tan-PI_binary64_16905` `tan-PI/3_binary64_16904` `tan-PI/4_binary64_16903` `tan-PI/6_binary64_16902` `cos-+PI/2_binary64_16901` `cos-+PI_binary64_16900` `cos-PI_binary64_16899` `cos-PI/2_binary64_16898` `cos-PI/3_binary64_16897` `cos-PI/4_binary64_16896` `cos-PI/6_binary64_16895` `sin-+PI/2_binary64_16894` `sin-+PI_binary64_16893` `sin-PI_binary64_16892` `sin-PI/2_binary64_16891` `sin-PI/3_binary64_16890` `sin-PI/4_binary64_16889` `sin-PI/6_binary64_16888` `sub-1-sin_binary64_16887` `sub-1-cos_binary64_16886` `-1-add-sin_binary64_16885` `-1-add-cos_binary64_16884` `1-sub-sin_binary64_16883` `1-sub-cos_binary64_16882` `cos-sin-sum_binary64_16881` `log-E_binary64_16877` `pow-base-0_binary64_16871` `unpow1/3_binary64_16854` `unpow1/2_binary64_16851` `exp-to-pow_binary64_16849` `pow-base-1_binary64_16847` `unpow0_binary64_16846` `unpow-1_binary64_16844` `exp-lft-cube_binary64_16843` `exp-lft-sqr_binary64_16842` `exp-cbrt_binary64_16841` `exp-sqrt_binary64_16840` `exp-neg_binary64_16834` `e-exp-1_binary64_16832` `exp-1-e_binary64_16830` `exp-0_binary64_16829` `rem-exp-log_binary64_16827` `rem-3cbrt-rft_binary64_16813` `rem-3cbrt-lft_binary64_16812` `rem-cbrt-cube_binary64_16811` `rem-cube-cbrt_binary64_16810` `sqr-abs_binary64_16802` `rem-sqrt-square_binary64_16800` `rem-square-sqrt_binary64_16799` `-rgt-identity_binary64_16777` `-lft-identity_binary64_16776` `remove-double-neg_binary64_16775` `sub0-neg_binary64_16774` `--rgt-identity_binary64_16773` `+-rgt-identity_binary64_16772` `+-lft-identity_binary64_16771` `mul0-rgt_binary64_16770` `mul0-lft_binary64_16769` `div0_binary64_16768` `+-inverses_binary64_16766` `lft-mult-inverse_binary64_16765` `rgt-mult-inverse_binary64_16764` `difference-of-sqr--1_binary64_16758` `difference-of-sqr-1_binary64_16757` `cancel-sign-sub_binary64_16752` `distribute-neg-out_binary64_16749` `distribute-rgt-neg-out_binary64_16747` `distribute-lft1-in_binary64_16742` `distribute-lft-out--_binary64_16739` `distribute-lft-out_binary64_16738` `count-2_binary64_16735` `associate--l-_binary64_16725`

Counts

324 → 851

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	467	7934
1	1216	7671
2	4635	7640

prune1.4s (4.6%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	849	2	851
Fresh	2	7	9
Picked	0	1	1
Done	0	1	1
Total	851	11	862

Error

Counts

862 → 11

Compiler

Compiled 29225 to 6664 computations (77.2% saved)

regimes6.4s (21.5%)

Accuracy

Total 1.4b remaining (99.9%)

Threshold costs 0b (0%)

Compiler

Compiled 36008 to 23719 computations (34.1% saved)

bsearch10.0ms (0%)

Compiler: Compiled 17 to 14 computations (17.6% saved)

simplify67.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

49×	`neg-mul-1_binary64_16783` `neg-sub0_binary64_16782`
41×	`*-commutative_binary64_16718`
39×	`+-commutative_binary64_16717`
27×	`unsub-neg_binary64_16781`
26×	`sub-neg_binary64_16780`
24×	`distribute-rgt-neg-in_binary64_16745` `distribute-lft-neg-in_binary64_16744`
21×	`distribute-rgt-neg-out_binary64_16747`
20×	`distribute-lft-neg-out_binary64_16746`
19×	`*-lft-identity_binary64_16776`
18×	`cancel-sign-sub-inv_binary64_16753`
10×	`*-rgt-identity_binary64_16777`
6×	`distribute-neg-frac_binary64_16751`
4×	`distribute-neg-in_binary64_16748`
2×	`distribute-neg-out_binary64_16749`
1×	`1-exp_binary64_16831` `distribute-frac-neg_binary64_16750`
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_17047` `if-if-and_binary64_17046` `if-if-or-not_binary64_17045` `if-if-or_binary64_17044` `if-not_binary64_17043` `if-same_binary64_17042` `if-false_binary64_17041` `if-true_binary64_17040` `tan-0_binary64_16916` `cos-0_binary64_16915` `sin-0_binary64_16914` `unpow1_binary64_16845` `e-exp-1_binary64_16832` `exp-1-e_binary64_16830` `exp-0_binary64_16829` `sqr-abs_binary64_16802` `sqr-neg_binary64_16801` `mul-1-neg_binary64_16779` `/-rgt-identity_binary64_16778` `remove-double-neg_binary64_16775` `sub0-neg_binary64_16774` `--rgt-identity_binary64_16773` `+-rgt-identity_binary64_16772` `+-lft-identity_binary64_16771` `cancel-sign-sub_binary64_16752`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	78	403
1	118	399
2	154	399
3	196	399
4	268	399
5	300	399
6	321	399
7	333	399
8	337	399
9	338	399

Proof

(if real (<= f64 (/ f64 (+ f64 (* f64 h0 h1) (* f64 h2 (- f64 h3 h4))) (+ f64 h1 (* f64 h2 (- f64 h5 h1)))) -10776202918311756764572900901479051558533772865773624130789008610247027092609604284402574374395389139164146660372655831206294666936352156182994490610550801749467825856842219619978785915891486715467647479343445429698226930256190407541793227513662863989307285694951057942222606713812529426029651166175466356736) (+ f64 (neg f64 (/ f64 h0 (- f64 h2 1))) (/ f64 -1 (/ f64 (- f64 h1 h5) (- f64 h3 h4)))) (if real (<= f64 (/ f64 (+ f64 (* f64 h0 h1) (* f64 h2 (- f64 h3 h4))) (+ f64 h1 (* f64 h2 (- f64 h5 h1)))) -8632374193103769/27967679607885704301190218685229334463595448410322902860782665724913148442727445468110629165844363647880233895721679414135153184333079469434028345743715409785657103816385949318619923106913065211176796883038813718238213431256579671499373815533666304) (/ f64 1 (/ f64 (+ f64 h1 (* f64 h2 (- f64 h5 h1))) (+ f64 (* f64 h0 h1) (* f64 h2 (- f64 h3 h4))))) (if real (<= f64 (/ f64 (+ f64 (* f64 h0 h1) (* f64 h2 (- f64 h3 h4))) (+ f64 h1 (* f64 h2 (- f64 h5 h1)))) 0) (+ f64 (/ f64 h3 (- f64 h5 h1)) (- f64 (+ f64 (/ f64 (/ f64 (* f64 h1 h0) h2) (- f64 h5 h1)) (* f64 (/ f64 h4 h2) (/ f64 h1 (pow f64 (- f64 h5 h1) 2)))) (+ f64 (* f64 (/ f64 h3 h2) (/ f64 h1 (pow f64 (- f64 h5 h1) 2))) (/ f64 h4 (- f64 h5 h1))))) (if real (<= f64 (/ f64 (+ f64 (* f64 h0 h1) (* f64 h2 (- f64 h3 h4))) (+ f64 h1 (* f64 h2 (- f64 h5 h1)))) 1338769192634981221660286660974322725794441566345849622929185636543039620587804329070591678481971493572460263740341637505648205901851239179944731972062166958374150596157672335968644702350773028261727475872326374225322105231561257583402462024300588206515814969914303027915213766656) (/ f64 (+ f64 (+ f64 (* f64 h0 h1) (* f64 h3 h2)) (=> (* f64 (neg f64 h4) h2))) (+ f64 h1 (* f64 h2 (- f64 h5 h1)))) (if real (<= f64 (/ f64 (+ f64 (* f64 h0 h1) (* f64 h2 (- f64 h3 h4))) (+ f64 h1 (* f64 h2 (- f64 h5 h1)))) h6) (+ f64 (/ f64 h1 (/ f64 (+ f64 h1 (* f64 h2 (- f64 h5 h1))) h0)) (/ f64 h2 (/ f64 (+ f64 h1 (* f64 h2 (- f64 h5 h1))) (- f64 h3 h4)))) (+ f64 (/ f64 h3 (- f64 h5 h1)) (- f64 (+ f64 (* f64 (/ f64 h1 h2) (/ f64 h0 (- f64 h5 h1))) (* f64 (/ f64 h4 h2) (/ f64 h1 (pow f64 (- f64 h5 h1) 2)))) (+ f64 (* f64 (/ f64 h1 h2) (/ f64 h3 (pow f64 (- f64 h5 h1) 2))) (/ f64 h4 (- f64 h5 h1))))))))))
distribute-lft-neg-out_binary64_16746 =>
(if real (<= f64 (/ f64 (+ f64 (* f64 h0 h1) (* f64 h2 (- f64 h3 h4))) (+ f64 h1 (* f64 h2 (- f64 h5 h1)))) -10776202918311756764572900901479051558533772865773624130789008610247027092609604284402574374395389139164146660372655831206294666936352156182994490610550801749467825856842219619978785915891486715467647479343445429698226930256190407541793227513662863989307285694951057942222606713812529426029651166175466356736) (+ f64 (neg f64 (/ f64 h0 (- f64 h2 1))) (/ f64 -1 (/ f64 (- f64 h1 h5) (- f64 h3 h4)))) (if real (<= f64 (/ f64 (+ f64 (* f64 h0 h1) (* f64 h2 (- f64 h3 h4))) (+ f64 h1 (* f64 h2 (- f64 h5 h1)))) -8632374193103769/27967679607885704301190218685229334463595448410322902860782665724913148442727445468110629165844363647880233895721679414135153184333079469434028345743715409785657103816385949318619923106913065211176796883038813718238213431256579671499373815533666304) (/ f64 1 (/ f64 (+ f64 h1 (* f64 h2 (- f64 h5 h1))) (+ f64 (* f64 h0 h1) (* f64 h2 (- f64 h3 h4))))) (if real (<= f64 (/ f64 (+ f64 (* f64 h0 h1) (* f64 h2 (- f64 h3 h4))) (+ f64 h1 (* f64 h2 (- f64 h5 h1)))) 0) (+ f64 (/ f64 h3 (- f64 h5 h1)) (- f64 (+ f64 (/ f64 (/ f64 (* f64 h1 h0) h2) (- f64 h5 h1)) (* f64 (/ f64 h4 h2) (/ f64 h1 (pow f64 (- f64 h5 h1) 2)))) (+ f64 (* f64 (/ f64 h3 h2) (/ f64 h1 (pow f64 (- f64 h5 h1) 2))) (/ f64 h4 (- f64 h5 h1))))) (if real (<= f64 (/ f64 (+ f64 (* f64 h0 h1) (* f64 h2 (- f64 h3 h4))) (+ f64 h1 (* f64 h2 (- f64 h5 h1)))) 1338769192634981221660286660974322725794441566345849622929185636543039620587804329070591678481971493572460263740341637505648205901851239179944731972062166958374150596157672335968644702350773028261727475872326374225322105231561257583402462024300588206515814969914303027915213766656) (/ f64 (+ f64 (+ f64 (* f64 h0 h1) (* f64 h3 h2)) (neg f64 (* f64 h4 h2))) (+ f64 h1 (* f64 h2 (- f64 h5 h1)))) (if real (<= f64 (/ f64 (+ f64 (* f64 h0 h1) (* f64 h2 (- f64 h3 h4))) (+ f64 h1 (* f64 h2 (- f64 h5 h1)))) h6) (+ f64 (/ f64 h1 (/ f64 (+ f64 h1 (* f64 h2 (- f64 h5 h1))) h0)) (/ f64 h2 (/ f64 (+ f64 h1 (* f64 h2 (- f64 h5 h1))) (- f64 h3 h4)))) (+ f64 (/ f64 h3 (- f64 h5 h1)) (- f64 (+ f64 (* f64 (/ f64 h1 h2) (/ f64 h0 (- f64 h5 h1))) (* f64 (/ f64 h4 h2) (/ f64 h1 (pow f64 (- f64 h5 h1) 2)))) (+ f64 (* f64 (/ f64 h1 h2) (/ f64 h3 (pow f64 (- f64 h5 h1) 2))) (/ f64 h4 (- f64 h5 h1))))))))))
<= *-commutative_binary64_16718
(if real (<= f64 (/ f64 (+ f64 (* f64 h0 h1) (* f64 h2 (- f64 h3 h4))) (+ f64 h1 (* f64 h2 (- f64 h5 h1)))) -10776202918311756764572900901479051558533772865773624130789008610247027092609604284402574374395389139164146660372655831206294666936352156182994490610550801749467825856842219619978785915891486715467647479343445429698226930256190407541793227513662863989307285694951057942222606713812529426029651166175466356736) (+ f64 (neg f64 (/ f64 h0 (- f64 h2 1))) (/ f64 -1 (/ f64 (- f64 h1 h5) (- f64 h3 h4)))) (if real (<= f64 (/ f64 (+ f64 (* f64 h0 h1) (* f64 h2 (- f64 h3 h4))) (+ f64 h1 (* f64 h2 (- f64 h5 h1)))) -8632374193103769/27967679607885704301190218685229334463595448410322902860782665724913148442727445468110629165844363647880233895721679414135153184333079469434028345743715409785657103816385949318619923106913065211176796883038813718238213431256579671499373815533666304) (/ f64 1 (/ f64 (+ f64 h1 (* f64 h2 (- f64 h5 h1))) (+ f64 (* f64 h0 h1) (* f64 h2 (- f64 h3 h4))))) (if real (<= f64 (/ f64 (+ f64 (* f64 h0 h1) (* f64 h2 (- f64 h3 h4))) (+ f64 h1 (* f64 h2 (- f64 h5 h1)))) 0) (+ f64 (/ f64 h3 (- f64 h5 h1)) (- f64 (+ f64 (/ f64 (/ f64 (<= (* f64 h0 h1)) h2) (- f64 h5 h1)) (* f64 (/ f64 h4 h2) (/ f64 h1 (pow f64 (- f64 h5 h1) 2)))) (+ f64 (=> (* f64 (/ f64 h3 h2) (/ f64 h1 (pow f64 (- f64 h5 h1) 2)))) (/ f64 h4 (- f64 h5 h1))))) (if real (<= f64 (/ f64 (+ f64 (* f64 h0 h1) (* f64 h2 (- f64 h3 h4))) (+ f64 h1 (* f64 h2 (- f64 h5 h1)))) 1338769192634981221660286660974322725794441566345849622929185636543039620587804329070591678481971493572460263740341637505648205901851239179944731972062166958374150596157672335968644702350773028261727475872326374225322105231561257583402462024300588206515814969914303027915213766656) (/ f64 (+ f64 (+ f64 (* f64 h0 h1) (* f64 h3 h2)) (neg f64 (* f64 h4 h2))) (+ f64 h1 (* f64 h2 (- f64 h5 h1)))) (if real (<= f64 (/ f64 (+ f64 (* f64 h0 h1) (* f64 h2 (- f64 h3 h4))) (+ f64 h1 (* f64 h2 (- f64 h5 h1)))) h6) (+ f64 (/ f64 h1 (/ f64 (+ f64 h1 (* f64 h2 (- f64 h5 h1))) h0)) (/ f64 h2 (/ f64 (+ f64 h1 (* f64 h2 (- f64 h5 h1))) (- f64 h3 h4)))) (+ f64 (/ f64 h3 (- f64 h5 h1)) (- f64 (+ f64 (* f64 (/ f64 h1 h2) (/ f64 h0 (- f64 h5 h1))) (* f64 (/ f64 h4 h2) (/ f64 h1 (pow f64 (- f64 h5 h1) 2)))) (+ f64 (* f64 (/ f64 h1 h2) (/ f64 h3 (pow f64 (- f64 h5 h1) 2))) (/ f64 h4 (- f64 h5 h1))))))))))
*-commutative_binary64_16718 =>
(if real (<= f64 (/ f64 (+ f64 (* f64 h0 h1) (* f64 h2 (- f64 h3 h4))) (+ f64 h1 (* f64 h2 (- f64 h5 h1)))) -10776202918311756764572900901479051558533772865773624130789008610247027092609604284402574374395389139164146660372655831206294666936352156182994490610550801749467825856842219619978785915891486715467647479343445429698226930256190407541793227513662863989307285694951057942222606713812529426029651166175466356736) (=> (+ f64 (neg f64 (/ f64 h0 (- f64 h2 1))) (/ f64 -1 (/ f64 (- f64 h1 h5) (- f64 h3 h4))))) (if real (<= f64 (/ f64 (+ f64 (* f64 h0 h1) (* f64 h2 (- f64 h3 h4))) (+ f64 h1 (* f64 h2 (- f64 h5 h1)))) -8632374193103769/27967679607885704301190218685229334463595448410322902860782665724913148442727445468110629165844363647880233895721679414135153184333079469434028345743715409785657103816385949318619923106913065211176796883038813718238213431256579671499373815533666304) (/ f64 1 (/ f64 (+ f64 h1 (* f64 h2 (- f64 h5 h1))) (+ f64 (* f64 h0 h1) (* f64 h2 (- f64 h3 h4))))) (if real (<= f64 (/ f64 (+ f64 (* f64 h0 h1) (* f64 h2 (- f64 h3 h4))) (+ f64 h1 (* f64 h2 (- f64 h5 h1)))) 0) (+ f64 (/ f64 h3 (- f64 h5 h1)) (- f64 (+ f64 (/ f64 (/ f64 (* f64 h0 h1) h2) (- f64 h5 h1)) (* f64 (/ f64 h4 h2) (/ f64 h1 (pow f64 (- f64 h5 h1) 2)))) (+ f64 (* f64 (/ f64 h1 (pow f64 (- f64 h5 h1) 2)) (/ f64 h3 h2)) (/ f64 h4 (- f64 h5 h1))))) (if real (<= f64 (/ f64 (+ f64 (* f64 h0 h1) (* f64 h2 (- f64 h3 h4))) (+ f64 h1 (* f64 h2 (- f64 h5 h1)))) 1338769192634981221660286660974322725794441566345849622929185636543039620587804329070591678481971493572460263740341637505648205901851239179944731972062166958374150596157672335968644702350773028261727475872326374225322105231561257583402462024300588206515814969914303027915213766656) (/ f64 (+ f64 (+ f64 (* f64 h0 h1) (* f64 h3 h2)) (neg f64 (* f64 h4 h2))) (+ f64 h1 (* f64 h2 (- f64 h5 h1)))) (if real (<= f64 (/ f64 (+ f64 (* f64 h0 h1) (* f64 h2 (- f64 h3 h4))) (+ f64 h1 (* f64 h2 (- f64 h5 h1)))) h6) (+ f64 (/ f64 h1 (/ f64 (+ f64 h1 (* f64 h2 (- f64 h5 h1))) h0)) (/ f64 h2 (/ f64 (+ f64 h1 (* f64 h2 (- f64 h5 h1))) (- f64 h3 h4)))) (+ f64 (/ f64 h3 (- f64 h5 h1)) (- f64 (+ f64 (* f64 (/ f64 h1 h2) (/ f64 h0 (- f64 h5 h1))) (* f64 (/ f64 h4 h2) (/ f64 h1 (pow f64 (- f64 h5 h1) 2)))) (+ f64 (* f64 (/ f64 h1 h2) (/ f64 h3 (pow f64 (- f64 h5 h1) 2))) (/ f64 h4 (- f64 h5 h1))))))))))
+-commutative_binary64_16717 =>
(if real (<= f64 (/ f64 (+ f64 (* f64 h0 h1) (* f64 h2 (- f64 h3 h4))) (+ f64 h1 (* f64 h2 (- f64 h5 h1)))) -10776202918311756764572900901479051558533772865773624130789008610247027092609604284402574374395389139164146660372655831206294666936352156182994490610550801749467825856842219619978785915891486715467647479343445429698226930256190407541793227513662863989307285694951057942222606713812529426029651166175466356736) (+ f64 (/ f64 -1 (/ f64 (- f64 h1 h5) (- f64 h3 h4))) (neg f64 (/ f64 h0 (- f64 h2 1)))) (if real (<= f64 (/ f64 (+ f64 (* f64 h0 h1) (* f64 h2 (- f64 h3 h4))) (+ f64 h1 (* f64 h2 (- f64 h5 h1)))) -8632374193103769/27967679607885704301190218685229334463595448410322902860782665724913148442727445468110629165844363647880233895721679414135153184333079469434028345743715409785657103816385949318619923106913065211176796883038813718238213431256579671499373815533666304) (/ f64 1 (/ f64 (+ f64 h1 (* f64 h2 (- f64 h5 h1))) (+ f64 (* f64 h0 h1) (* f64 h2 (- f64 h3 h4))))) (if real (<= f64 (/ f64 (+ f64 (* f64 h0 h1) (* f64 h2 (- f64 h3 h4))) (+ f64 h1 (* f64 h2 (- f64 h5 h1)))) 0) (+ f64 (/ f64 h3 (- f64 h5 h1)) (- f64 (+ f64 (/ f64 (/ f64 (* f64 h0 h1) h2) (- f64 h5 h1)) (* f64 (/ f64 h4 h2) (/ f64 h1 (pow f64 (- f64 h5 h1) 2)))) (+ f64 (* f64 (/ f64 h1 (pow f64 (- f64 h5 h1) 2)) (/ f64 h3 h2)) (/ f64 h4 (- f64 h5 h1))))) (if real (<= f64 (/ f64 (+ f64 (* f64 h0 h1) (* f64 h2 (- f64 h3 h4))) (+ f64 h1 (* f64 h2 (- f64 h5 h1)))) 1338769192634981221660286660974322725794441566345849622929185636543039620587804329070591678481971493572460263740341637505648205901851239179944731972062166958374150596157672335968644702350773028261727475872326374225322105231561257583402462024300588206515814969914303027915213766656) (/ f64 (+ f64 (+ f64 (* f64 h0 h1) (* f64 h3 h2)) (neg f64 (* f64 h4 h2))) (+ f64 h1 (* f64 h2 (- f64 h5 h1)))) (if real (<= f64 (/ f64 (+ f64 (* f64 h0 h1) (* f64 h2 (- f64 h3 h4))) (+ f64 h1 (* f64 h2 (- f64 h5 h1)))) h6) (+ f64 (/ f64 h1 (/ f64 (+ f64 h1 (* f64 h2 (- f64 h5 h1))) h0)) (/ f64 h2 (/ f64 (+ f64 h1 (* f64 h2 (- f64 h5 h1))) (- f64 h3 h4)))) (+ f64 (/ f64 h3 (- f64 h5 h1)) (- f64 (+ f64 (* f64 (/ f64 h1 h2) (/ f64 h0 (- f64 h5 h1))) (* f64 (/ f64 h4 h2) (/ f64 h1 (pow f64 (- f64 h5 h1) 2)))) (=> (+ f64 (* f64 (/ f64 h1 h2) (/ f64 h3 (pow f64 (- f64 h5 h1) 2))) (/ f64 h4 (- f64 h5 h1)))))))))))
+-commutative_binary64_16717 =>
(if real (<= f64 (/ f64 (+ f64 (* f64 h0 h1) (* f64 h2 (- f64 h3 h4))) (+ f64 h1 (* f64 h2 (- f64 h5 h1)))) -10776202918311756764572900901479051558533772865773624130789008610247027092609604284402574374395389139164146660372655831206294666936352156182994490610550801749467825856842219619978785915891486715467647479343445429698226930256190407541793227513662863989307285694951057942222606713812529426029651166175466356736) (+ f64 (/ f64 -1 (/ f64 (- f64 h1 h5) (- f64 h3 h4))) (neg f64 (/ f64 h0 (- f64 h2 1)))) (if real (<= f64 (/ f64 (+ f64 (* f64 h0 h1) (* f64 h2 (- f64 h3 h4))) (+ f64 h1 (* f64 h2 (- f64 h5 h1)))) -8632374193103769/27967679607885704301190218685229334463595448410322902860782665724913148442727445468110629165844363647880233895721679414135153184333079469434028345743715409785657103816385949318619923106913065211176796883038813718238213431256579671499373815533666304) (/ f64 1 (/ f64 (+ f64 h1 (* f64 h2 (- f64 h5 h1))) (+ f64 (* f64 h0 h1) (* f64 h2 (- f64 h3 h4))))) (if real (<= f64 (/ f64 (+ f64 (* f64 h0 h1) (* f64 h2 (- f64 h3 h4))) (+ f64 h1 (* f64 h2 (- f64 h5 h1)))) 0) (+ f64 (/ f64 h3 (- f64 h5 h1)) (- f64 (+ f64 (/ f64 (/ f64 (* f64 h0 h1) h2) (- f64 h5 h1)) (* f64 (/ f64 h4 h2) (/ f64 h1 (pow f64 (- f64 h5 h1) 2)))) (+ f64 (* f64 (/ f64 h1 (pow f64 (- f64 h5 h1) 2)) (/ f64 h3 h2)) (/ f64 h4 (- f64 h5 h1))))) (if real (<= f64 (/ f64 (+ f64 (* f64 h0 h1) (* f64 h2 (- f64 h3 h4))) (+ f64 h1 (* f64 h2 (- f64 h5 h1)))) 1338769192634981221660286660974322725794441566345849622929185636543039620587804329070591678481971493572460263740341637505648205901851239179944731972062166958374150596157672335968644702350773028261727475872326374225322105231561257583402462024300588206515814969914303027915213766656) (/ f64 (+ f64 (+ f64 (* f64 h0 h1) (* f64 h3 h2)) (neg f64 (* f64 h4 h2))) (+ f64 h1 (* f64 h2 (- f64 h5 h1)))) (if real (<= f64 (/ f64 (+ f64 (* f64 h0 h1) (* f64 h2 (- f64 h3 h4))) (+ f64 h1 (* f64 h2 (- f64 h5 h1)))) h6) (+ f64 (/ f64 h1 (/ f64 (+ f64 h1 (* f64 h2 (- f64 h5 h1))) h0)) (/ f64 h2 (/ f64 (+ f64 h1 (* f64 h2 (- f64 h5 h1))) (- f64 h3 h4)))) (+ f64 (/ f64 h3 (- f64 h5 h1)) (- f64 (=> (+ f64 (* f64 (/ f64 h1 h2) (/ f64 h0 (- f64 h5 h1))) (* f64 (/ f64 h4 h2) (/ f64 h1 (pow f64 (- f64 h5 h1) 2))))) (+ f64 (/ f64 h4 (- f64 h5 h1)) (* f64 (/ f64 h1 h2) (/ f64 h3 (pow f64 (- f64 h5 h1) 2)))))))))))
+-commutative_binary64_16717 =>
(if real (<= f64 (/ f64 (+ f64 (* f64 h0 h1) (* f64 h2 (- f64 h3 h4))) (+ f64 h1 (* f64 h2 (- f64 h5 h1)))) -10776202918311756764572900901479051558533772865773624130789008610247027092609604284402574374395389139164146660372655831206294666936352156182994490610550801749467825856842219619978785915891486715467647479343445429698226930256190407541793227513662863989307285694951057942222606713812529426029651166175466356736) (=> (+ f64 (/ f64 -1 (/ f64 (- f64 h1 h5) (- f64 h3 h4))) (neg f64 (/ f64 h0 (- f64 h2 1))))) (if real (<= f64 (/ f64 (+ f64 (* f64 h0 h1) (* f64 h2 (- f64 h3 h4))) (+ f64 h1 (* f64 h2 (- f64 h5 h1)))) -8632374193103769/27967679607885704301190218685229334463595448410322902860782665724913148442727445468110629165844363647880233895721679414135153184333079469434028345743715409785657103816385949318619923106913065211176796883038813718238213431256579671499373815533666304) (/ f64 1 (/ f64 (+ f64 h1 (* f64 h2 (- f64 h5 h1))) (+ f64 (* f64 h0 h1) (* f64 h2 (- f64 h3 h4))))) (if real (<= f64 (/ f64 (+ f64 (* f64 h0 h1) (* f64 h2 (- f64 h3 h4))) (+ f64 h1 (* f64 h2 (- f64 h5 h1)))) 0) (+ f64 (/ f64 h3 (- f64 h5 h1)) (- f64 (+ f64 (/ f64 (/ f64 (* f64 h0 h1) h2) (- f64 h5 h1)) (* f64 (/ f64 h4 h2) (/ f64 h1 (pow f64 (- f64 h5 h1) 2)))) (+ f64 (* f64 (/ f64 h1 (pow f64 (- f64 h5 h1) 2)) (/ f64 h3 h2)) (/ f64 h4 (- f64 h5 h1))))) (if real (<= f64 (/ f64 (+ f64 (* f64 h0 h1) (* f64 h2 (- f64 h3 h4))) (+ f64 h1 (* f64 h2 (- f64 h5 h1)))) 1338769192634981221660286660974322725794441566345849622929185636543039620587804329070591678481971493572460263740341637505648205901851239179944731972062166958374150596157672335968644702350773028261727475872326374225322105231561257583402462024300588206515814969914303027915213766656) (/ f64 (+ f64 (+ f64 (* f64 h0 h1) (* f64 h3 h2)) (neg f64 (* f64 h4 h2))) (+ f64 h1 (* f64 h2 (- f64 h5 h1)))) (if real (<= f64 (/ f64 (+ f64 (* f64 h0 h1) (* f64 h2 (- f64 h3 h4))) (+ f64 h1 (* f64 h2 (- f64 h5 h1)))) h6) (+ f64 (/ f64 h1 (/ f64 (+ f64 h1 (* f64 h2 (- f64 h5 h1))) h0)) (/ f64 h2 (/ f64 (+ f64 h1 (* f64 h2 (- f64 h5 h1))) (- f64 h3 h4)))) (+ f64 (/ f64 h3 (- f64 h5 h1)) (- f64 (+ f64 (* f64 (/ f64 h4 h2) (/ f64 h1 (pow f64 (- f64 h5 h1) 2))) (* f64 (/ f64 h1 h2) (/ f64 h0 (- f64 h5 h1)))) (+ f64 (/ f64 h4 (- f64 h5 h1)) (* f64 (/ f64 h1 h2) (/ f64 h3 (pow f64 (- f64 h5 h1) 2)))))))))))
unsub-neg_binary64_16781 =>
(if real (<= f64 (/ f64 (+ f64 (* f64 h0 h1) (* f64 h2 (- f64 h3 h4))) (+ f64 h1 (* f64 h2 (- f64 h5 h1)))) -10776202918311756764572900901479051558533772865773624130789008610247027092609604284402574374395389139164146660372655831206294666936352156182994490610550801749467825856842219619978785915891486715467647479343445429698226930256190407541793227513662863989307285694951057942222606713812529426029651166175466356736) (- f64 (/ f64 -1 (/ f64 (- f64 h1 h5) (- f64 h3 h4))) (/ f64 h0 (=> (- f64 h2 1)))) (if real (<= f64 (/ f64 (+ f64 (* f64 h0 h1) (* f64 h2 (- f64 h3 h4))) (+ f64 h1 (* f64 h2 (- f64 h5 h1)))) -8632374193103769/27967679607885704301190218685229334463595448410322902860782665724913148442727445468110629165844363647880233895721679414135153184333079469434028345743715409785657103816385949318619923106913065211176796883038813718238213431256579671499373815533666304) (/ f64 1 (/ f64 (+ f64 h1 (* f64 h2 (- f64 h5 h1))) (+ f64 (* f64 h0 h1) (* f64 h2 (- f64 h3 h4))))) (if real (<= f64 (/ f64 (+ f64 (* f64 h0 h1) (* f64 h2 (- f64 h3 h4))) (+ f64 h1 (* f64 h2 (- f64 h5 h1)))) 0) (+ f64 (/ f64 h3 (- f64 h5 h1)) (- f64 (+ f64 (/ f64 (/ f64 (* f64 h0 h1) h2) (- f64 h5 h1)) (* f64 (/ f64 h4 h2) (/ f64 h1 (pow f64 (- f64 h5 h1) 2)))) (+ f64 (* f64 (/ f64 h1 (pow f64 (- f64 h5 h1) 2)) (/ f64 h3 h2)) (/ f64 h4 (- f64 h5 h1))))) (if real (<= f64 (/ f64 (+ f64 (* f64 h0 h1) (* f64 h2 (- f64 h3 h4))) (+ f64 h1 (* f64 h2 (- f64 h5 h1)))) 1338769192634981221660286660974322725794441566345849622929185636543039620587804329070591678481971493572460263740341637505648205901851239179944731972062166958374150596157672335968644702350773028261727475872326374225322105231561257583402462024300588206515814969914303027915213766656) (/ f64 (+ f64 (+ f64 (* f64 h0 h1) (* f64 h3 h2)) (neg f64 (* f64 h4 h2))) (+ f64 h1 (* f64 h2 (- f64 h5 h1)))) (if real (<= f64 (/ f64 (+ f64 (* f64 h0 h1) (* f64 h2 (- f64 h3 h4))) (+ f64 h1 (* f64 h2 (- f64 h5 h1)))) h6) (+ f64 (/ f64 h1 (/ f64 (+ f64 h1 (* f64 h2 (- f64 h5 h1))) h0)) (/ f64 h2 (/ f64 (+ f64 h1 (* f64 h2 (- f64 h5 h1))) (- f64 h3 h4)))) (+ f64 (/ f64 h3 (- f64 h5 h1)) (- f64 (+ f64 (* f64 (/ f64 h4 h2) (/ f64 h1 (pow f64 (- f64 h5 h1) 2))) (* f64 (/ f64 h1 h2) (/ f64 h0 (- f64 h5 h1)))) (+ f64 (/ f64 h4 (- f64 h5 h1)) (* f64 (/ f64 h1 h2) (/ f64 h3 (pow f64 (- f64 h5 h1) 2)))))))))))
sub-neg_binary64_16780 =>
(if real (<= f64 (/ f64 (+ f64 (* f64 h0 h1) (* f64 h2 (- f64 h3 h4))) (+ f64 h1 (* f64 h2 (- f64 h5 h1)))) -10776202918311756764572900901479051558533772865773624130789008610247027092609604284402574374395389139164146660372655831206294666936352156182994490610550801749467825856842219619978785915891486715467647479343445429698226930256190407541793227513662863989307285694951057942222606713812529426029651166175466356736) (- f64 (/ f64 -1 (/ f64 (- f64 h1 h5) (- f64 h3 h4))) (/ f64 h0 (+ f64 h2 (=> (neg f64 1))))) (if real (<= f64 (/ f64 (+ f64 (* f64 h0 h1) (* f64 h2 (- f64 h3 h4))) (+ f64 h1 (* f64 h2 (- f64 h5 h1)))) -8632374193103769/27967679607885704301190218685229334463595448410322902860782665724913148442727445468110629165844363647880233895721679414135153184333079469434028345743715409785657103816385949318619923106913065211176796883038813718238213431256579671499373815533666304) (/ f64 1 (/ f64 (+ f64 h1 (* f64 h2 (- f64 h5 h1))) (+ f64 (* f64 h0 h1) (* f64 h2 (- f64 h3 h4))))) (if real (<= f64 (/ f64 (+ f64 (* f64 h0 h1) (* f64 h2 (- f64 h3 h4))) (+ f64 h1 (* f64 h2 (- f64 h5 h1)))) 0) (+ f64 (/ f64 h3 (- f64 h5 h1)) (- f64 (+ f64 (/ f64 (/ f64 (* f64 h0 h1) h2) (- f64 h5 h1)) (* f64 (/ f64 h4 h2) (/ f64 h1 (pow f64 (- f64 h5 h1) 2)))) (+ f64 (* f64 (/ f64 h1 (pow f64 (- f64 h5 h1) 2)) (/ f64 h3 h2)) (/ f64 h4 (- f64 h5 h1))))) (if real (<= f64 (/ f64 (+ f64 (* f64 h0 h1) (* f64 h2 (- f64 h3 h4))) (+ f64 h1 (* f64 h2 (- f64 h5 h1)))) 1338769192634981221660286660974322725794441566345849622929185636543039620587804329070591678481971493572460263740341637505648205901851239179944731972062166958374150596157672335968644702350773028261727475872326374225322105231561257583402462024300588206515814969914303027915213766656) (/ f64 (+ f64 (+ f64 (* f64 h0 h1) (* f64 h3 h2)) (neg f64 (* f64 h4 h2))) (+ f64 h1 (* f64 h2 (- f64 h5 h1)))) (if real (<= f64 (/ f64 (+ f64 (* f64 h0 h1) (* f64 h2 (- f64 h3 h4))) (+ f64 h1 (* f64 h2 (- f64 h5 h1)))) h6) (+ f64 (/ f64 h1 (/ f64 (+ f64 h1 (* f64 h2 (- f64 h5 h1))) h0)) (/ f64 h2 (/ f64 (+ f64 h1 (* f64 h2 (- f64 h5 h1))) (- f64 h3 h4)))) (+ f64 (/ f64 h3 (- f64 h5 h1)) (- f64 (+ f64 (* f64 (/ f64 h4 h2) (/ f64 h1 (pow f64 (- f64 h5 h1) 2))) (* f64 (/ f64 h1 h2) (/ f64 h0 (- f64 h5 h1)))) (+ f64 (/ f64 h4 (- f64 h5 h1)) (* f64 (/ f64 h1 h2) (/ f64 h3 (pow f64 (- f64 h5 h1) 2)))))))))))
neg-mul-1_binary64_16783 =>
(if real (<= f64 (/ f64 (+ f64 (* f64 h0 h1) (* f64 h2 (- f64 h3 h4))) (+ f64 h1 (* f64 h2 (- f64 h5 h1)))) -10776202918311756764572900901479051558533772865773624130789008610247027092609604284402574374395389139164146660372655831206294666936352156182994490610550801749467825856842219619978785915891486715467647479343445429698226930256190407541793227513662863989307285694951057942222606713812529426029651166175466356736) (- f64 (/ f64 -1 (/ f64 (- f64 h1 h5) (- f64 h3 h4))) (/ f64 h0 (+ f64 h2 (* f64 -1 1)))) (if real (<= f64 (/ f64 (+ f64 (* f64 h0 h1) (* f64 h2 (- f64 h3 h4))) (+ f64 h1 (* f64 h2 (- f64 h5 h1)))) -8632374193103769/27967679607885704301190218685229334463595448410322902860782665724913148442727445468110629165844363647880233895721679414135153184333079469434028345743715409785657103816385949318619923106913065211176796883038813718238213431256579671499373815533666304) (/ f64 1 (/ f64 (+ f64 h1 (* f64 h2 (- f64 h5 h1))) (+ f64 (* f64 h0 h1) (* f64 h2 (- f64 h3 h4))))) (if real (<= f64 (/ f64 (+ f64 (* f64 h0 h1) (* f64 h2 (- f64 h3 h4))) (+ f64 h1 (* f64 h2 (- f64 h5 h1)))) 0) (+ f64 (/ f64 h3 (- f64 h5 h1)) (- f64 (+ f64 (/ f64 (/ f64 (* f64 h0 h1) h2) (- f64 h5 h1)) (* f64 (/ f64 h4 h2) (/ f64 h1 (pow f64 (- f64 h5 h1) 2)))) (+ f64 (* f64 (/ f64 h1 (pow f64 (- f64 h5 h1) 2)) (/ f64 h3 h2)) (/ f64 h4 (- f64 h5 h1))))) (if real (<= f64 (/ f64 (+ f64 (* f64 h0 h1) (* f64 h2 (- f64 h3 h4))) (+ f64 h1 (* f64 h2 (- f64 h5 h1)))) 1338769192634981221660286660974322725794441566345849622929185636543039620587804329070591678481971493572460263740341637505648205901851239179944731972062166958374150596157672335968644702350773028261727475872326374225322105231561257583402462024300588206515814969914303027915213766656) (/ f64 (=> (+ f64 (+ f64 (* f64 h0 h1) (* f64 h3 h2)) (neg f64 (* f64 h4 h2)))) (+ f64 h1 (* f64 h2 (- f64 h5 h1)))) (if real (<= f64 (/ f64 (+ f64 (* f64 h0 h1) (* f64 h2 (- f64 h3 h4))) (+ f64 h1 (* f64 h2 (- f64 h5 h1)))) h6) (+ f64 (/ f64 h1 (/ f64 (+ f64 h1 (* f64 h2 (- f64 h5 h1))) h0)) (/ f64 h2 (/ f64 (+ f64 h1 (* f64 h2 (- f64 h5 h1))) (- f64 h3 h4)))) (+ f64 (/ f64 h3 (- f64 h5 h1)) (- f64 (+ f64 (* f64 (/ f64 h4 h2) (/ f64 h1 (pow f64 (- f64 h5 h1) 2))) (* f64 (/ f64 h1 h2) (/ f64 h0 (- f64 h5 h1)))) (+ f64 (/ f64 h4 (- f64 h5 h1)) (* f64 (/ f64 h1 h2) (/ f64 h3 (pow f64 (- f64 h5 h1) 2)))))))))))
unsub-neg_binary64_16781 =>
(if real (<= f64 (/ f64 (+ f64 (* f64 h0 h1) (* f64 h2 (- f64 h3 h4))) (+ f64 h1 (* f64 h2 (- f64 h5 h1)))) -10776202918311756764572900901479051558533772865773624130789008610247027092609604284402574374395389139164146660372655831206294666936352156182994490610550801749467825856842219619978785915891486715467647479343445429698226930256190407541793227513662863989307285694951057942222606713812529426029651166175466356736) (- f64 (/ f64 -1 (/ f64 (- f64 h1 h5) (- f64 h3 h4))) (/ f64 h0 (+ f64 h2 (* f64 -1 1)))) (if real (<= f64 (/ f64 (+ f64 (* f64 h0 h1) (* f64 h2 (- f64 h3 h4))) (+ f64 h1 (* f64 h2 (- f64 h5 h1)))) -8632374193103769/27967679607885704301190218685229334463595448410322902860782665724913148442727445468110629165844363647880233895721679414135153184333079469434028345743715409785657103816385949318619923106913065211176796883038813718238213431256579671499373815533666304) (/ f64 1 (/ f64 (+ f64 h1 (* f64 h2 (- f64 h5 h1))) (+ f64 (* f64 h0 h1) (* f64 h2 (- f64 h3 h4))))) (if real (<= f64 (/ f64 (+ f64 (* f64 h0 h1) (* f64 h2 (- f64 h3 h4))) (+ f64 h1 (* f64 h2 (- f64 h5 h1)))) 0) (+ f64 (/ f64 h3 (- f64 h5 h1)) (- f64 (+ f64 (/ f64 (/ f64 (* f64 h0 h1) h2) (- f64 h5 h1)) (* f64 (/ f64 h4 h2) (/ f64 h1 (pow f64 (- f64 h5 h1) 2)))) (+ f64 (* f64 (/ f64 h1 (pow f64 (- f64 h5 h1) 2)) (/ f64 h3 h2)) (/ f64 h4 (- f64 h5 h1))))) (if real (<= f64 (/ f64 (+ f64 (* f64 h0 h1) (* f64 h2 (- f64 h3 h4))) (+ f64 h1 (* f64 h2 (- f64 h5 h1)))) 1338769192634981221660286660974322725794441566345849622929185636543039620587804329070591678481971493572460263740341637505648205901851239179944731972062166958374150596157672335968644702350773028261727475872326374225322105231561257583402462024300588206515814969914303027915213766656) (/ f64 (- f64 (+ f64 (* f64 h0 h1) (=> (* f64 h3 h2))) (* f64 h4 h2)) (+ f64 h1 (* f64 h2 (- f64 h5 h1)))) (if real (<= f64 (/ f64 (+ f64 (* f64 h0 h1) (* f64 h2 (- f64 h3 h4))) (+ f64 h1 (* f64 h2 (- f64 h5 h1)))) h6) (+ f64 (/ f64 h1 (/ f64 (+ f64 h1 (* f64 h2 (- f64 h5 h1))) h0)) (/ f64 h2 (/ f64 (+ f64 h1 (* f64 h2 (- f64 h5 h1))) (- f64 h3 h4)))) (+ f64 (/ f64 h3 (- f64 h5 h1)) (- f64 (+ f64 (* f64 (/ f64 h4 h2) (/ f64 h1 (pow f64 (- f64 h5 h1) 2))) (* f64 (/ f64 h1 h2) (/ f64 h0 (- f64 h5 h1)))) (+ f64 (/ f64 h4 (- f64 h5 h1)) (* f64 (/ f64 h1 h2) (/ f64 h3 (pow f64 (- f64 h5 h1) 2)))))))))))
*-commutative_binary64_16718 =>
(if real (<= f64 (/ f64 (+ f64 (* f64 h0 h1) (* f64 h2 (- f64 h3 h4))) (+ f64 h1 (* f64 h2 (- f64 h5 h1)))) -10776202918311756764572900901479051558533772865773624130789008610247027092609604284402574374395389139164146660372655831206294666936352156182994490610550801749467825856842219619978785915891486715467647479343445429698226930256190407541793227513662863989307285694951057942222606713812529426029651166175466356736) (- f64 (/ f64 -1 (/ f64 (- f64 h1 h5) (- f64 h3 h4))) (/ f64 h0 (+ f64 h2 (* f64 -1 1)))) (if real (<= f64 (/ f64 (+ f64 (* f64 h0 h1) (* f64 h2 (- f64 h3 h4))) (+ f64 h1 (* f64 h2 (- f64 h5 h1)))) -8632374193103769/27967679607885704301190218685229334463595448410322902860782665724913148442727445468110629165844363647880233895721679414135153184333079469434028345743715409785657103816385949318619923106913065211176796883038813718238213431256579671499373815533666304) (/ f64 1 (/ f64 (+ f64 h1 (* f64 h2 (- f64 h5 h1))) (+ f64 (* f64 h0 h1) (* f64 h2 (- f64 h3 h4))))) (if real (<= f64 (/ f64 (+ f64 (* f64 h0 h1) (* f64 h2 (- f64 h3 h4))) (+ f64 h1 (* f64 h2 (- f64 h5 h1)))) 0) (+ f64 (/ f64 h3 (- f64 h5 h1)) (- f64 (+ f64 (/ f64 (/ f64 (* f64 h0 h1) h2) (- f64 h5 h1)) (* f64 (/ f64 h4 h2) (/ f64 h1 (pow f64 (- f64 h5 h1) 2)))) (+ f64 (* f64 (/ f64 h1 (pow f64 (- f64 h5 h1) 2)) (/ f64 h3 h2)) (/ f64 h4 (- f64 h5 h1))))) (if real (<= f64 (/ f64 (+ f64 (* f64 h0 h1) (* f64 h2 (- f64 h3 h4))) (+ f64 h1 (* f64 h2 (- f64 h5 h1)))) 1338769192634981221660286660974322725794441566345849622929185636543039620587804329070591678481971493572460263740341637505648205901851239179944731972062166958374150596157672335968644702350773028261727475872326374225322105231561257583402462024300588206515814969914303027915213766656) (/ f64 (- f64 (+ f64 (* f64 h0 h1) (* f64 h2 h3)) (=> (* f64 h4 h2))) (+ f64 h1 (* f64 h2 (- f64 h5 h1)))) (if real (<= f64 (/ f64 (+ f64 (* f64 h0 h1) (* f64 h2 (- f64 h3 h4))) (+ f64 h1 (* f64 h2 (- f64 h5 h1)))) h6) (+ f64 (/ f64 h1 (/ f64 (+ f64 h1 (* f64 h2 (- f64 h5 h1))) h0)) (/ f64 h2 (/ f64 (+ f64 h1 (* f64 h2 (- f64 h5 h1))) (- f64 h3 h4)))) (+ f64 (/ f64 h3 (- f64 h5 h1)) (- f64 (+ f64 (* f64 (/ f64 h4 h2) (/ f64 h1 (pow f64 (- f64 h5 h1) 2))) (* f64 (/ f64 h1 h2) (/ f64 h0 (- f64 h5 h1)))) (+ f64 (/ f64 h4 (- f64 h5 h1)) (* f64 (/ f64 h1 h2) (/ f64 h3 (pow f64 (- f64 h5 h1) 2)))))))))))
*-commutative_binary64_16718 =>
(if real (<= f64 (/ f64 (+ f64 (* f64 h0 h1) (* f64 h2 (- f64 h3 h4))) (+ f64 h1 (* f64 h2 (- f64 h5 h1)))) -10776202918311756764572900901479051558533772865773624130789008610247027092609604284402574374395389139164146660372655831206294666936352156182994490610550801749467825856842219619978785915891486715467647479343445429698226930256190407541793227513662863989307285694951057942222606713812529426029651166175466356736) (- f64 (/ f64 -1 (/ f64 (- f64 h1 h5) (- f64 h3 h4))) (/ f64 h0 (+ f64 h2 (=> (* f64 -1 1))))) (if real (<= f64 (/ f64 (+ f64 (* f64 h0 h1) (* f64 h2 (- f64 h3 h4))) (+ f64 h1 (* f64 h2 (- f64 h5 h1)))) -8632374193103769/27967679607885704301190218685229334463595448410322902860782665724913148442727445468110629165844363647880233895721679414135153184333079469434028345743715409785657103816385949318619923106913065211176796883038813718238213431256579671499373815533666304) (/ f64 1 (/ f64 (+ f64 h1 (* f64 h2 (- f64 h5 h1))) (+ f64 (* f64 h0 h1) (* f64 h2 (- f64 h3 h4))))) (if real (<= f64 (/ f64 (+ f64 (* f64 h0 h1) (* f64 h2 (- f64 h3 h4))) (+ f64 h1 (* f64 h2 (- f64 h5 h1)))) 0) (+ f64 (/ f64 h3 (- f64 h5 h1)) (- f64 (+ f64 (/ f64 (/ f64 (* f64 h0 h1) h2) (- f64 h5 h1)) (* f64 (/ f64 h4 h2) (/ f64 h1 (pow f64 (- f64 h5 h1) 2)))) (+ f64 (* f64 (/ f64 h1 (pow f64 (- f64 h5 h1) 2)) (/ f64 h3 h2)) (/ f64 h4 (- f64 h5 h1))))) (if real (<= f64 (/ f64 (+ f64 (* f64 h0 h1) (* f64 h2 (- f64 h3 h4))) (+ f64 h1 (* f64 h2 (- f64 h5 h1)))) 1338769192634981221660286660974322725794441566345849622929185636543039620587804329070591678481971493572460263740341637505648205901851239179944731972062166958374150596157672335968644702350773028261727475872326374225322105231561257583402462024300588206515814969914303027915213766656) (/ f64 (- f64 (+ f64 (* f64 h0 h1) (* f64 h2 h3)) (* f64 h2 h4)) (+ f64 h1 (* f64 h2 (- f64 h5 h1)))) (if real (<= f64 (/ f64 (+ f64 (* f64 h0 h1) (* f64 h2 (- f64 h3 h4))) (+ f64 h1 (* f64 h2 (- f64 h5 h1)))) h6) (+ f64 (/ f64 h1 (/ f64 (+ f64 h1 (* f64 h2 (- f64 h5 h1))) h0)) (/ f64 h2 (/ f64 (+ f64 h1 (* f64 h2 (- f64 h5 h1))) (- f64 h3 h4)))) (+ f64 (/ f64 h3 (- f64 h5 h1)) (- f64 (+ f64 (* f64 (/ f64 h4 h2) (/ f64 h1 (pow f64 (- f64 h5 h1) 2))) (* f64 (/ f64 h1 h2) (/ f64 h0 (- f64 h5 h1)))) (+ f64 (/ f64 h4 (- f64 h5 h1)) (* f64 (/ f64 h1 h2) (/ f64 h3 (pow f64 (- f64 h5 h1) 2)))))))))))
*-rgt-identity_binary64_16777 =>
(if real (<= f64 (/ f64 (+ f64 (* f64 h0 h1) (* f64 h2 (- f64 h3 h4))) (+ f64 h1 (* f64 h2 (- f64 h5 h1)))) -10776202918311756764572900901479051558533772865773624130789008610247027092609604284402574374395389139164146660372655831206294666936352156182994490610550801749467825856842219619978785915891486715467647479343445429698226930256190407541793227513662863989307285694951057942222606713812529426029651166175466356736) (- f64 (/ f64 -1 (/ f64 (- f64 h1 h5) (- f64 h3 h4))) (/ f64 h0 (+ f64 h2 -1))) (if real (<= f64 (/ f64 (+ f64 (* f64 h0 h1) (* f64 h2 (- f64 h3 h4))) (+ f64 h1 (* f64 h2 (- f64 h5 h1)))) -8632374193103769/27967679607885704301190218685229334463595448410322902860782665724913148442727445468110629165844363647880233895721679414135153184333079469434028345743715409785657103816385949318619923106913065211176796883038813718238213431256579671499373815533666304) (/ f64 1 (/ f64 (+ f64 h1 (* f64 h2 (- f64 h5 h1))) (+ f64 (* f64 h0 h1) (* f64 h2 (- f64 h3 h4))))) (if real (<= f64 (/ f64 (+ f64 (* f64 h0 h1) (* f64 h2 (- f64 h3 h4))) (+ f64 h1 (* f64 h2 (- f64 h5 h1)))) 0) (+ f64 (/ f64 h3 (- f64 h5 h1)) (- f64 (+ f64 (/ f64 (/ f64 (* f64 h0 h1) h2) (- f64 h5 h1)) (* f64 (/ f64 h4 h2) (/ f64 h1 (pow f64 (- f64 h5 h1) 2)))) (+ f64 (* f64 (/ f64 h1 (pow f64 (- f64 h5 h1) 2)) (/ f64 h3 h2)) (/ f64 h4 (- f64 h5 h1))))) (if real (<= f64 (/ f64 (+ f64 (* f64 h0 h1) (* f64 h2 (- f64 h3 h4))) (+ f64 h1 (* f64 h2 (- f64 h5 h1)))) 1338769192634981221660286660974322725794441566345849622929185636543039620587804329070591678481971493572460263740341637505648205901851239179944731972062166958374150596157672335968644702350773028261727475872326374225322105231561257583402462024300588206515814969914303027915213766656) (/ f64 (- f64 (+ f64 (* f64 h0 h1) (* f64 h2 h3)) (* f64 h2 h4)) (+ f64 h1 (* f64 h2 (- f64 h5 h1)))) (if real (<= f64 (/ f64 (+ f64 (* f64 h0 h1) (* f64 h2 (- f64 h3 h4))) (+ f64 h1 (* f64 h2 (- f64 h5 h1)))) h6) (+ f64 (/ f64 h1 (/ f64 (+ f64 h1 (* f64 h2 (- f64 h5 h1))) h0)) (/ f64 h2 (/ f64 (+ f64 h1 (* f64 h2 (- f64 h5 h1))) (- f64 h3 h4)))) (+ f64 (/ f64 h3 (- f64 h5 h1)) (- f64 (+ f64 (* f64 (/ f64 h4 h2) (/ f64 h1 (pow f64 (- f64 h5 h1) 2))) (* f64 (/ f64 h1 h2) (/ f64 h0 (- f64 h5 h1)))) (+ f64 (/ f64 h4 (- f64 h5 h1)) (* f64 (/ f64 h1 h2) (/ f64 h3 (pow f64 (- f64 h5 h1) 2)))))))))))

end0.0ms (0%)

sample3.4s (11.5%)

Algorithm

1×

intervals

Results

415.0ms	8000×	body	128	valid
20.0ms	425×	body	128	invalid

Compiler

Compiled 4407 to 2822 computations (36% saved)

Iter	Nodes	Cost
0	78	403
1	118	399
2	154	399
3	196	399
4	268	399
5	300	399
6	321	399
7	333	399
8	337	399
9	338	399

Iter	Nodes	Cost
0	78	403
1	118	399
2	154	399
3	196	399
4	268	399
5	300	399
6	321	399
7	333	399
8	337	399
9	338	399

Details

analyze1.3s (4.4%)

sample32.0ms (0.1%)

simplify722.0ms (2.4%)

prune4.0ms (0%)

localize13.0ms (0%)

rewrite188.0ms (0.6%)

series2.4s (8%)

simplify584.0ms (2%)

prune314.0ms (1.1%)

localize15.0ms (0.1%)

rewrite323.0ms (1.1%)

series4.3s (14.4%)

simplify714.0ms (2.4%)

prune747.0ms (2.5%)

localize21.0ms (0.1%)

rewrite188.0ms (0.6%)

series1.8s (6.2%)

simplify907.0ms (3%)

prune548.0ms (1.8%)

localize15.0ms (0.1%)

rewrite413.0ms (1.4%)

series2.3s (7.9%)

simplify615.0ms (2.1%)

prune1.4s (4.6%)

regimes6.4s (21.5%)

bsearch10.0ms (0%)

simplify67.0ms (0.2%)

end0.0ms (0%)

sample3.4s (11.5%)

Profiling

Iter	Nodes	Cost
0	78	403
1	118	399
2	154	399
3	196	399
4	268	399
5	300	399
6	321	399
7	333	399
8	337	399
9	338	399