Details

analyze846.0ms (8.5%)

Algorithm

1×	search
2×	egg-herbie

Rules

790×	`div-sub_binary64_13723`
660×	`associate-/r*_binary64_13662`
621×	`neg-mul-1_binary64_13714`
596×	`sub-neg_binary64_13711`
440×	`cancel-sign-sub-inv_binary64_13684`
390×	`distribute-rgt-in_binary64_13668`
378×	`distribute-frac-neg_binary64_13681`
323×	`distribute-neg-frac_binary64_13682`
289×	`distribute-lft-in_binary64_13667`
272×	`unsub-neg_binary64_13712`
270×	`associate-/l*_binary64_13663`
262×	`neg-sub0_binary64_13713`
201×	`associate-/r/_binary64_13664`
161×	`distribute-rgt-neg-in_binary64_13676`
127×	`distribute-lft-neg-in_binary64_13675`
119×	`distribute-lft-neg-out_binary64_13677`
116×	`distribute-rgt-neg-out_binary64_13678`
109×	`*-commutative_binary64_13649`
96×	`remove-double-neg_binary64_13706`
94×	`div0_binary64_13699`
88×	`associate--r+_binary64_13654`
74×	`times-frac_binary64_13724` `associate-/l/_binary64_13665`
69×	`mul0-rgt_binary64_13701` `mul0-lft_binary64_13700` `associate-r_binary64_13658`
68×	`distribute-rgt-out--_binary64_13672` `associate-*r/_binary64_13660`
65×	`/-rgt-identity_binary64_13709`
61×	`distribute-neg-in_binary64_13679`
52×	`associate-*l/_binary64_13661`
51×	`+-commutative_binary64_13648`
38×	`+-lft-identity_binary64_13702`
37×	`associate-+l-_binary64_13653`
36×	`distribute-rgt-out_binary64_13671`
33×	`sub0-neg_binary64_13705`
24×	`associate-l_binary64_13659`
20×	`associate-+r-_binary64_13652`
17×	`*-lft-identity_binary64_13707` `associate-+r+_binary64_13650`
15×	`associate--l+_binary64_13655`
14×	`+-rgt-identity_binary64_13703`
13×	`distribute-lft-out--_binary64_13670` `associate--r-_binary64_13657`
11×	`associate-+l+_binary64_13651`
9×	`distribute-neg-out_binary64_13680`
2×	`cancel-sign-sub_binary64_13683` `associate--l-_binary64_13656`
1×	`1-exp_binary64_13762`
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_13981` `erf-erfc_binary64_13980` `erf-odd_binary64_13979` `if-if-and-not_binary64_13978` `if-if-and_binary64_13977` `if-if-or-not_binary64_13976` `if-if-or_binary64_13975` `if-not_binary64_13974` `if-same_binary64_13973` `if-false_binary64_13972` `if-true_binary64_13971` `not-gte_binary64_13970` `not-lte_binary64_13969` `not-gt_binary64_13968` `not-lt_binary64_13967` `gte-same_binary64_13966` `lte-same_binary64_13965` `gt-same_binary64_13964` `lt-same_binary64_13963` `sinh---cosh_binary64_13910` `sinh-+-cosh_binary64_13909` `sinh-cosh_binary64_13908` `tanh-def-c_binary64_13907` `tanh-def-b_binary64_13906` `tanh-def-a_binary64_13905` `cosh-def_binary64_13904` `sinh-def_binary64_13903` `tan-neg_binary64_13850` `cos-neg_binary64_13849` `sin-neg_binary64_13848` `tan-0_binary64_13847` `cos-0_binary64_13846` `sin-0_binary64_13845` `hang-m-tan_binary64_13844` `hang-p-tan_binary64_13843` `hang-m0-tan_binary64_13842` `hang-p0-tan_binary64_13841` `hang-0m-tan_binary64_13840` `hang-0p-tan_binary64_13839` `tan-+PI/2_binary64_13838` `tan-+PI_binary64_13837` `tan-PI_binary64_13836` `tan-PI/3_binary64_13835` `tan-PI/4_binary64_13834` `tan-PI/6_binary64_13833` `cos-+PI/2_binary64_13832` `cos-+PI_binary64_13831` `cos-PI_binary64_13830` `cos-PI/2_binary64_13829` `cos-PI/3_binary64_13828` `cos-PI/4_binary64_13827` `cos-PI/6_binary64_13826` `sin-+PI/2_binary64_13825` `sin-+PI_binary64_13824` `sin-PI_binary64_13823` `sin-PI/2_binary64_13822` `sin-PI/3_binary64_13821` `sin-PI/4_binary64_13820` `sin-PI/6_binary64_13819` `sub-1-sin_binary64_13818` `sub-1-cos_binary64_13817` `-1-add-sin_binary64_13816` `-1-add-cos_binary64_13815` `1-sub-sin_binary64_13814` `1-sub-cos_binary64_13813` `cos-sin-sum_binary64_13812` `log-E_binary64_13808` `log-pow_binary64_13807` `log-rec_binary64_13806` `log-div_binary64_13805` `log-prod_binary64_13804` `pow-base-0_binary64_13802` `unpow1/3_binary64_13785` `unpow3_binary64_13784` `unpow2_binary64_13783` `unpow1/2_binary64_13782` `pow-plus_binary64_13781` `exp-to-pow_binary64_13780` `pow-base-1_binary64_13778` `unpow0_binary64_13777` `unpow1_binary64_13776` `unpow-1_binary64_13775` `exp-lft-cube_binary64_13774` `exp-lft-sqr_binary64_13773` `exp-cbrt_binary64_13772` `exp-sqrt_binary64_13771` `exp-prod_binary64_13770` `div-exp_binary64_13769` `rec-exp_binary64_13768` `prod-exp_binary64_13767` `exp-diff_binary64_13766` `exp-neg_binary64_13765` `exp-sum_binary64_13764` `e-exp-1_binary64_13763` `exp-1-e_binary64_13761` `exp-0_binary64_13760` `rem-log-exp_binary64_13759` `rem-exp-log_binary64_13758` `cube-unmult_binary64_13755` `cube-mult_binary64_13748` `cube-div_binary64_13747` `cube-prod_binary64_13746` `cube-neg_binary64_13745` `rem-3cbrt-rft_binary64_13744` `rem-3cbrt-lft_binary64_13743` `rem-cbrt-cube_binary64_13742` `rem-cube-cbrt_binary64_13741` `sqr-abs_binary64_13733` `sqr-neg_binary64_13732` `rem-sqrt-square_binary64_13731` `rem-square-sqrt_binary64_13730` `mul-1-neg_binary64_13710` `-rgt-identity_binary64_13708` `--rgt-identity_binary64_13704` `-inverses_binary64_13698` `+-inverses_binary64_13697` `lft-mult-inverse_binary64_13696` `rgt-mult-inverse_binary64_13695` `remove-double-div_binary64_13694` `pow-sqr_binary64_13691` `sqr-pow_binary64_13690` `difference-of-sqr--1_binary64_13689` `difference-of-sqr-1_binary64_13688` `difference-of-squares_binary64_13687` `unswap-sqr_binary64_13686` `swap-sqr_binary64_13685` `distribute-rgt1-in_binary64_13674` `distribute-lft1-in_binary64_13673` `distribute-lft-out_binary64_13669` `count-2_binary64_13666`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	91
1	97	91
2	244	91
3	507	91
4	857	91
5	1867	91
6	2548	91
7	4254	91
8	4265	91
9	4862	91
10	4872	91
0	4	4
1	4	4

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
12.5%	87.3%	0.2%	8
18.7%	81.1%	0.2%	9
22.6%	77.2%	0.2%	10
25%	74.9%	0.2%	11
39.4%	60.4%	0.2%	12
46.5%	53.2%	0.3%	13
48%	51.4%	0.6%	14

Compiler

Compiled 12 to 11 computations (8.3% saved)

sample27.0ms (0.3%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	128	valid
1.0ms	36×	body	128	invalid

Compiler

Compiled 23 to 25 computations (-8.7% saved)

simplify78.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

271×	`associate-/l*_binary64_13663`
259×	`div-sub_binary64_13723`
255×	`cancel-sign-sub-inv_binary64_13684`
243×	`distribute-rgt-in_binary64_13668`
173×	`associate-/r*_binary64_13662`
163×	`distribute-lft-in_binary64_13667`
150×	`times-frac_binary64_13724`
126×	`associate-/r/_binary64_13664`
113×	`sub-neg_binary64_13711`
99×	`unsub-neg_binary64_13712`
98×	`distribute-rgt-neg-in_binary64_13676`
89×	`associate-/l/_binary64_13665`
87×	`associate-r_binary64_13658`
73×	`distribute-lft-neg-out_binary64_13677`
71×	`associate-l_binary64_13659`
66×	`distribute-lft-neg-in_binary64_13675`
63×	`*-commutative_binary64_13649`
58×	`distribute-rgt-neg-out_binary64_13678`
46×	`neg-mul-1_binary64_13714`
42×	`associate-*l/_binary64_13661`
41×	`distribute-neg-in_binary64_13679`
37×	`distribute-neg-frac_binary64_13682`
33×	`neg-sub0_binary64_13713`
32×	`mul0-rgt_binary64_13701` `mul0-lft_binary64_13700`
30×	`associate-*r/_binary64_13660`
25×	`distribute-rgt-out--_binary64_13672`
23×	`*-lft-identity_binary64_13707` `associate--r+_binary64_13654`
20×	`distribute-rgt-out_binary64_13671`
19×	`*-rgt-identity_binary64_13708` `distribute-frac-neg_binary64_13681` `+-commutative_binary64_13648`
18×	`div0_binary64_13699`
16×	`+-lft-identity_binary64_13702`
15×	`/-rgt-identity_binary64_13709` `associate-+l-_binary64_13653`
12×	`remove-double-neg_binary64_13706` `sub0-neg_binary64_13705`
11×	`associate--r-_binary64_13657`
8×	`associate-+r-_binary64_13652` `associate-+l+_binary64_13651`
6×	`associate-+r+_binary64_13650`
5×	`+-rgt-identity_binary64_13703`
4×	`associate--l-_binary64_13656` `associate--l+_binary64_13655`
3×	`--rgt-identity_binary64_13704`
2×	`mul-1-neg_binary64_13710`
1×	`1-exp_binary64_13762` `distribute-lft-out--_binary64_13670`
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_13981` `erf-erfc_binary64_13980` `erf-odd_binary64_13979` `if-if-and-not_binary64_13978` `if-if-and_binary64_13977` `if-if-or-not_binary64_13976` `if-if-or_binary64_13975` `if-not_binary64_13974` `if-same_binary64_13973` `if-false_binary64_13972` `if-true_binary64_13971` `not-gte_binary64_13970` `not-lte_binary64_13969` `not-gt_binary64_13968` `not-lt_binary64_13967` `gte-same_binary64_13966` `lte-same_binary64_13965` `gt-same_binary64_13964` `lt-same_binary64_13963` `sinh---cosh_binary64_13910` `sinh-+-cosh_binary64_13909` `sinh-cosh_binary64_13908` `tanh-def-c_binary64_13907` `tanh-def-b_binary64_13906` `tanh-def-a_binary64_13905` `cosh-def_binary64_13904` `sinh-def_binary64_13903` `tan-neg_binary64_13850` `cos-neg_binary64_13849` `sin-neg_binary64_13848` `tan-0_binary64_13847` `cos-0_binary64_13846` `sin-0_binary64_13845` `hang-m-tan_binary64_13844` `hang-p-tan_binary64_13843` `hang-m0-tan_binary64_13842` `hang-p0-tan_binary64_13841` `hang-0m-tan_binary64_13840` `hang-0p-tan_binary64_13839` `tan-+PI/2_binary64_13838` `tan-+PI_binary64_13837` `tan-PI_binary64_13836` `tan-PI/3_binary64_13835` `tan-PI/4_binary64_13834` `tan-PI/6_binary64_13833` `cos-+PI/2_binary64_13832` `cos-+PI_binary64_13831` `cos-PI_binary64_13830` `cos-PI/2_binary64_13829` `cos-PI/3_binary64_13828` `cos-PI/4_binary64_13827` `cos-PI/6_binary64_13826` `sin-+PI/2_binary64_13825` `sin-+PI_binary64_13824` `sin-PI_binary64_13823` `sin-PI/2_binary64_13822` `sin-PI/3_binary64_13821` `sin-PI/4_binary64_13820` `sin-PI/6_binary64_13819` `sub-1-sin_binary64_13818` `sub-1-cos_binary64_13817` `-1-add-sin_binary64_13816` `-1-add-cos_binary64_13815` `1-sub-sin_binary64_13814` `1-sub-cos_binary64_13813` `cos-sin-sum_binary64_13812` `log-E_binary64_13808` `log-pow_binary64_13807` `log-rec_binary64_13806` `log-div_binary64_13805` `log-prod_binary64_13804` `pow-base-0_binary64_13802` `unpow1/3_binary64_13785` `unpow3_binary64_13784` `unpow2_binary64_13783` `unpow1/2_binary64_13782` `pow-plus_binary64_13781` `exp-to-pow_binary64_13780` `pow-base-1_binary64_13778` `unpow0_binary64_13777` `unpow1_binary64_13776` `unpow-1_binary64_13775` `exp-lft-cube_binary64_13774` `exp-lft-sqr_binary64_13773` `exp-cbrt_binary64_13772` `exp-sqrt_binary64_13771` `exp-prod_binary64_13770` `div-exp_binary64_13769` `rec-exp_binary64_13768` `prod-exp_binary64_13767` `exp-diff_binary64_13766` `exp-neg_binary64_13765` `exp-sum_binary64_13764` `e-exp-1_binary64_13763` `exp-1-e_binary64_13761` `exp-0_binary64_13760` `rem-log-exp_binary64_13759` `rem-exp-log_binary64_13758` `cube-unmult_binary64_13755` `cube-mult_binary64_13748` `cube-div_binary64_13747` `cube-prod_binary64_13746` `cube-neg_binary64_13745` `rem-3cbrt-rft_binary64_13744` `rem-3cbrt-lft_binary64_13743` `rem-cbrt-cube_binary64_13742` `rem-cube-cbrt_binary64_13741` `sqr-abs_binary64_13733` `sqr-neg_binary64_13732` `rem-sqrt-square_binary64_13731` `rem-square-sqrt_binary64_13730` `*-inverses_binary64_13698` `+-inverses_binary64_13697` `lft-mult-inverse_binary64_13696` `rgt-mult-inverse_binary64_13695` `remove-double-div_binary64_13694` `pow-sqr_binary64_13691` `sqr-pow_binary64_13690` `difference-of-sqr--1_binary64_13689` `difference-of-sqr-1_binary64_13688` `difference-of-squares_binary64_13687` `unswap-sqr_binary64_13686` `swap-sqr_binary64_13685` `cancel-sign-sub_binary64_13683` `distribute-neg-out_binary64_13680` `distribute-rgt1-in_binary64_13674` `distribute-lft1-in_binary64_13673` `distribute-lft-out_binary64_13669` `count-2_binary64_13666`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	13
1	23	13
2	51	13
3	102	13
4	171	13
5	306	13
6	456	13
7	707	13
8	1344	13
9	1323	13
10	1307	13
11	1328	13
12	1318	13
13	1319	13
14	1323	13
15	1196	13

prune4.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

2.5b

Counts

2 → 2

Compiler

Compiled 29 to 28 computations (3.4% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 2 (-.f64 y t))
0.2b	(/.f64 (/.f64 2 (-.f64 y t)) z)
2.7b	(*.f64 x (/.f64 (/.f64 2 (-.f64 y t)) z))

rewrite343.0ms (3.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

249×	`times-frac_binary64_13724`
180×	`add-sqr-sqrt_binary64_13740`
171×	`*-un-lft-identity_binary64_13718`
121×	`add-cube-cbrt_binary64_13753`
67×	`associate-r_binary64_13658`
25×	`difference-of-squares_binary64_13687` `distribute-lft-out--_binary64_13670`
24×	`associate-/l*_binary64_13663`
19×	`add-exp-log_binary64_13756` `add-cbrt-cube_binary64_13754`
16×	`associate-/r/_binary64_13664`
10×	`div-inv_binary64_13715`
8×	`flip3--_binary64_13722` `flip--_binary64_13693` `associate-/r*_binary64_13662`
7×	`div-exp_binary64_13769` `cbrt-undiv_binary64_13752`
5×	`pow1_binary64_13779`
3×	`prod-exp_binary64_13767` `add-log-exp_binary64_13757` `cbrt-unprod_binary64_13751` `unswap-sqr_binary64_13686` `associate-l_binary64_13659`
2×	`frac-2neg_binary64_13729` `clear-num_binary64_13717`
1×	`pow-prod-down_binary64_13789` `associate-r/_binary64_13660` `-commutative_binary64_13649` `associate-/l/_binary64_13665`

Counts

3 → 228

Calls

3 calls:

27.0ms	(*.f64 x (/.f64 (/.f64 2 (-.f64 y t)) z))
11.0ms	(/.f64 (/.f64 2 (-.f64 y t)) z)
6.0ms	(/.f64 2 (-.f64 y t))

Compiler

Compiled 4652 to 2214 computations (52.4% saved)

series695.0ms (7%)

Error

2.5b

Counts

3 → 57

Calls

3 calls:

354.0ms	(*.f64 x (/.f64 (/.f64 2 (-.f64 y t)) z))
188.0ms	(/.f64 (/.f64 2 (-.f64 y t)) z)
95.0ms	(/.f64 2 (-.f64 y t))

Compiler

Compiled 2505 to 1948 computations (22.2% saved)

simplify283.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

440×	`associate-/r/_binary64_13664`
207×	`associate-/l*_binary64_13663`
197×	`associate-/r*_binary64_13662`
194×	`associate-/l/_binary64_13665`
190×	`associate-l_binary64_13659`
184×	`associate-*r/_binary64_13660`
181×	`*-commutative_binary64_13649`
174×	`associate-r_binary64_13658`
152×	`associate-*l/_binary64_13661`
148×	`sub-neg_binary64_13711`
144×	`times-frac_binary64_13724`
115×	`distribute-rgt-in_binary64_13668`
110×	`neg-mul-1_binary64_13714` `neg-sub0_binary64_13713` `distribute-lft-in_binary64_13667`
88×	`*-rgt-identity_binary64_13708`
80×	`*-lft-identity_binary64_13707`
77×	`+-commutative_binary64_13648`
68×	`div-sub_binary64_13723`
61×	`unsub-neg_binary64_13712`
59×	`distribute-rgt-neg-in_binary64_13676`
57×	`log-prod_binary64_13804` `cube-prod_binary64_13746`
55×	`associate-+l+_binary64_13651`
52×	`distribute-lft-neg-in_binary64_13675` `distribute-lft-out_binary64_13669`
50×	`distribute-neg-frac_binary64_13682`
47×	`log-div_binary64_13805`
44×	`associate-+r+_binary64_13650`
40×	`cancel-sign-sub-inv_binary64_13684`
37×	`distribute-rgt-out_binary64_13671`
35×	`cube-div_binary64_13747`
32×	`/-rgt-identity_binary64_13709`
30×	`unpow3_binary64_13784`
29×	`exp-prod_binary64_13770`
26×	`sqr-pow_binary64_13690` `associate-+l-_binary64_13653`
24×	`associate-+r-_binary64_13652`
23×	`distribute-lft-neg-out_binary64_13677`
20×	`distribute-rgt-neg-out_binary64_13678`
17×	`cube-mult_binary64_13748` `unswap-sqr_binary64_13686` `distribute-neg-in_binary64_13679`
12×	`swap-sqr_binary64_13685`
11×	`associate--r+_binary64_13654`
9×	`associate--l+_binary64_13655`
8×	`cube-unmult_binary64_13755` `distribute-rgt-out--_binary64_13672`
7×	`log-rec_binary64_13806`
5×	`associate--l-_binary64_13656`
4×	`difference-of-squares_binary64_13687`
3×	`unpow1/2_binary64_13782` `remove-double-div_binary64_13694` `associate--r-_binary64_13657`
2×	`unpow2_binary64_13783` `pow-plus_binary64_13781` `unpow1_binary64_13776` `rem-sqrt-square_binary64_13731` `distribute-rgt1-in_binary64_13674`
1×	`exp-lft-sqr_binary64_13773` `prod-exp_binary64_13767` `1-exp_binary64_13762` `exp-1-e_binary64_13761` `cube-neg_binary64_13745` `sqr-neg_binary64_13732` `remove-double-neg_binary64_13706` `pow-sqr_binary64_13691` `distribute-neg-out_binary64_13680`
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_13981` `erf-erfc_binary64_13980` `erf-odd_binary64_13979` `if-if-and-not_binary64_13978` `if-if-and_binary64_13977` `if-if-or-not_binary64_13976` `if-if-or_binary64_13975` `if-not_binary64_13974` `if-same_binary64_13973` `if-false_binary64_13972` `if-true_binary64_13971` `not-gte_binary64_13970` `not-lte_binary64_13969` `not-gt_binary64_13968` `not-lt_binary64_13967` `gte-same_binary64_13966` `lte-same_binary64_13965` `gt-same_binary64_13964` `lt-same_binary64_13963` `sinh---cosh_binary64_13910` `sinh-+-cosh_binary64_13909` `sinh-cosh_binary64_13908` `tanh-def-c_binary64_13907` `tanh-def-b_binary64_13906` `tanh-def-a_binary64_13905` `cosh-def_binary64_13904` `sinh-def_binary64_13903` `tan-neg_binary64_13850` `cos-neg_binary64_13849` `sin-neg_binary64_13848` `tan-0_binary64_13847` `cos-0_binary64_13846` `sin-0_binary64_13845` `hang-m-tan_binary64_13844` `hang-p-tan_binary64_13843` `hang-m0-tan_binary64_13842` `hang-p0-tan_binary64_13841` `hang-0m-tan_binary64_13840` `hang-0p-tan_binary64_13839` `tan-+PI/2_binary64_13838` `tan-+PI_binary64_13837` `tan-PI_binary64_13836` `tan-PI/3_binary64_13835` `tan-PI/4_binary64_13834` `tan-PI/6_binary64_13833` `cos-+PI/2_binary64_13832` `cos-+PI_binary64_13831` `cos-PI_binary64_13830` `cos-PI/2_binary64_13829` `cos-PI/3_binary64_13828` `cos-PI/4_binary64_13827` `cos-PI/6_binary64_13826` `sin-+PI/2_binary64_13825` `sin-+PI_binary64_13824` `sin-PI_binary64_13823` `sin-PI/2_binary64_13822` `sin-PI/3_binary64_13821` `sin-PI/4_binary64_13820` `sin-PI/6_binary64_13819` `sub-1-sin_binary64_13818` `sub-1-cos_binary64_13817` `-1-add-sin_binary64_13816` `-1-add-cos_binary64_13815` `1-sub-sin_binary64_13814` `1-sub-cos_binary64_13813` `cos-sin-sum_binary64_13812` `log-E_binary64_13808` `log-pow_binary64_13807` `pow-base-0_binary64_13802` `unpow1/3_binary64_13785` `exp-to-pow_binary64_13780` `pow-base-1_binary64_13778` `unpow0_binary64_13777` `unpow-1_binary64_13775` `exp-lft-cube_binary64_13774` `exp-cbrt_binary64_13772` `exp-sqrt_binary64_13771` `div-exp_binary64_13769` `rec-exp_binary64_13768` `exp-diff_binary64_13766` `exp-neg_binary64_13765` `exp-sum_binary64_13764` `e-exp-1_binary64_13763` `exp-0_binary64_13760` `rem-log-exp_binary64_13759` `rem-exp-log_binary64_13758` `rem-3cbrt-rft_binary64_13744` `rem-3cbrt-lft_binary64_13743` `rem-cbrt-cube_binary64_13742` `rem-cube-cbrt_binary64_13741` `sqr-abs_binary64_13733` `rem-square-sqrt_binary64_13730` `mul-1-neg_binary64_13710` `sub0-neg_binary64_13705` `--rgt-identity_binary64_13704` `+-rgt-identity_binary64_13703` `+-lft-identity_binary64_13702` `mul0-rgt_binary64_13701` `mul0-lft_binary64_13700` `div0_binary64_13699` `*-inverses_binary64_13698` `+-inverses_binary64_13697` `lft-mult-inverse_binary64_13696` `rgt-mult-inverse_binary64_13695` `difference-of-sqr--1_binary64_13689` `difference-of-sqr-1_binary64_13688` `cancel-sign-sub_binary64_13683` `distribute-frac-neg_binary64_13681` `distribute-lft1-in_binary64_13673` `distribute-lft-out--_binary64_13670` `count-2_binary64_13666`

Counts

285 → 178

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	368	5734
1	929	5452
2	3106	5360
3	4403	5360
4	4975	5360
5	4999	5360
6	4968	5360

prune192.0ms (1.9%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	169	9	178
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	169	11	180

Error

Counts

180 → 11

Compiler

Compiled 3313 to 1509 computations (54.5% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(/.f64 (/.f64 (sqrt.f64 2) (-.f64 y t)) z)
0.4b	(*.f64 x (sqrt.f64 2))
0.5b	(/.f64 (sqrt.f64 2) (-.f64 y t))
2.8b	(.f64 (.f64 x (sqrt.f64 2)) (/.f64 (/.f64 (sqrt.f64 2) (-.f64 y t)) z))

rewrite706.0ms (7.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

456×	`times-frac_binary64_13724`
321×	`add-sqr-sqrt_binary64_13740`
317×	`*-un-lft-identity_binary64_13718`
219×	`add-cube-cbrt_binary64_13753`
127×	`sqrt-prod_binary64_13734`
118×	`associate-r_binary64_13658`
49×	`difference-of-squares_binary64_13687` `distribute-lft-out--_binary64_13670`
42×	`associate-/l*_binary64_13663`
34×	`add-exp-log_binary64_13756` `add-cbrt-cube_binary64_13754`
16×	`associate-/r/_binary64_13664`
11×	`pow1_binary64_13779`
10×	`div-exp_binary64_13769` `prod-exp_binary64_13767` `cbrt-unprod_binary64_13751` `cbrt-undiv_binary64_13752` `div-inv_binary64_13715`
8×	`flip3--_binary64_13722` `flip--_binary64_13693` `associate-/r*_binary64_13662`
4×	`pow-prod-down_binary64_13789` `add-log-exp_binary64_13757` `associate-l_binary64_13659`
2×	`*-commutative_binary64_13649` `frac-2neg_binary64_13729` `clear-num_binary64_13717` `unswap-sqr_binary64_13686`
1×	`associate-*r/_binary64_13660` `associate-/l/_binary64_13665`

Counts

4 → 375

Calls

4 calls:

35.0ms	(.f64 (.f64 x (sqrt.f64 2)) (/.f64 (/.f64 (sqrt.f64 2) (-.f64 y t)) z))
15.0ms	(/.f64 (/.f64 (sqrt.f64 2) (-.f64 y t)) z)
7.0ms	(/.f64 (sqrt.f64 2) (-.f64 y t))
6.0ms	(*.f64 x (sqrt.f64 2))

Compiler

Compiled 9585 to 5586 computations (41.7% saved)

series1.1s (10.8%)

Error

Counts

4 → 60

Calls

4 calls:

565.0ms	(.f64 (.f64 x (sqrt.f64 2)) (/.f64 (/.f64 (sqrt.f64 2) (-.f64 y t)) z))
263.0ms	(/.f64 (/.f64 (sqrt.f64 2) (-.f64 y t)) z)
122.0ms	(/.f64 (sqrt.f64 2) (-.f64 y t))
48.0ms	(*.f64 x (sqrt.f64 2))

Compiler

Compiled 3258 to 2710 computations (16.8% saved)

simplify320.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

524×	`associate-l_binary64_13659`
382×	`associate-r_binary64_13658`
368×	`associate-/l*_binary64_13663`
317×	`*-commutative_binary64_13649`
315×	`associate-*r/_binary64_13660`
283×	`associate-/l/_binary64_13665`
239×	`associate-*l/_binary64_13661`
218×	`times-frac_binary64_13724`
213×	`associate-/r*_binary64_13662`
78×	`log-div_binary64_13805`
62×	`associate-/r/_binary64_13664`
46×	`log-prod_binary64_13804`
38×	`distribute-rgt-in_binary64_13668`
36×	`neg-mul-1_binary64_13714`
31×	`exp-prod_binary64_13770` `distribute-lft-in_binary64_13667`
27×	`div-sub_binary64_13723`
25×	`cube-prod_binary64_13746` `/-rgt-identity_binary64_13709`
21×	`sub-neg_binary64_13711` `associate-+l+_binary64_13651`
20×	`cube-div_binary64_13747` `neg-sub0_binary64_13713` `+-commutative_binary64_13648`
19×	`associate-+r+_binary64_13650`
14×	`distribute-neg-frac_binary64_13682`
13×	`sqr-pow_binary64_13690`
9×	`swap-sqr_binary64_13685` `distribute-rgt-neg-in_binary64_13676`
8×	`associate-+r-_binary64_13652`
7×	`cube-unmult_binary64_13755` `distribute-neg-in_binary64_13679` `distribute-lft-neg-in_binary64_13675`
6×	`*-lft-identity_binary64_13707` `cancel-sign-sub-inv_binary64_13684`
5×	`*-rgt-identity_binary64_13708`
4×	`rem-sqrt-square_binary64_13731` `mul-1-neg_binary64_13710` `associate--r+_binary64_13654`
3×	`log-rec_binary64_13806` `unpow2_binary64_13783` `unpow1/2_binary64_13782` `unpow1_binary64_13776` `unsub-neg_binary64_13712` `associate-+l-_binary64_13653`
2×	`log-pow_binary64_13807` `unpow3_binary64_13784` `cube-mult_binary64_13748` `difference-of-squares_binary64_13687` `distribute-lft-neg-out_binary64_13677`
1×	`exp-lft-sqr_binary64_13773` `1-exp_binary64_13762` `exp-1-e_binary64_13761` `rem-square-sqrt_binary64_13730` `unswap-sqr_binary64_13686` `distribute-rgt-out--_binary64_13672` `distribute-rgt-out_binary64_13671` `associate--r-_binary64_13657` `associate--l-_binary64_13656` `associate--l+_binary64_13655`
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_13981` `erf-erfc_binary64_13980` `erf-odd_binary64_13979` `if-if-and-not_binary64_13978` `if-if-and_binary64_13977` `if-if-or-not_binary64_13976` `if-if-or_binary64_13975` `if-not_binary64_13974` `if-same_binary64_13973` `if-false_binary64_13972` `if-true_binary64_13971` `not-gte_binary64_13970` `not-lte_binary64_13969` `not-gt_binary64_13968` `not-lt_binary64_13967` `gte-same_binary64_13966` `lte-same_binary64_13965` `gt-same_binary64_13964` `lt-same_binary64_13963` `sinh---cosh_binary64_13910` `sinh-+-cosh_binary64_13909` `sinh-cosh_binary64_13908` `tanh-def-c_binary64_13907` `tanh-def-b_binary64_13906` `tanh-def-a_binary64_13905` `cosh-def_binary64_13904` `sinh-def_binary64_13903` `tan-neg_binary64_13850` `cos-neg_binary64_13849` `sin-neg_binary64_13848` `tan-0_binary64_13847` `cos-0_binary64_13846` `sin-0_binary64_13845` `hang-m-tan_binary64_13844` `hang-p-tan_binary64_13843` `hang-m0-tan_binary64_13842` `hang-p0-tan_binary64_13841` `hang-0m-tan_binary64_13840` `hang-0p-tan_binary64_13839` `tan-+PI/2_binary64_13838` `tan-+PI_binary64_13837` `tan-PI_binary64_13836` `tan-PI/3_binary64_13835` `tan-PI/4_binary64_13834` `tan-PI/6_binary64_13833` `cos-+PI/2_binary64_13832` `cos-+PI_binary64_13831` `cos-PI_binary64_13830` `cos-PI/2_binary64_13829` `cos-PI/3_binary64_13828` `cos-PI/4_binary64_13827` `cos-PI/6_binary64_13826` `sin-+PI/2_binary64_13825` `sin-+PI_binary64_13824` `sin-PI_binary64_13823` `sin-PI/2_binary64_13822` `sin-PI/3_binary64_13821` `sin-PI/4_binary64_13820` `sin-PI/6_binary64_13819` `sub-1-sin_binary64_13818` `sub-1-cos_binary64_13817` `-1-add-sin_binary64_13816` `-1-add-cos_binary64_13815` `1-sub-sin_binary64_13814` `1-sub-cos_binary64_13813` `cos-sin-sum_binary64_13812` `log-E_binary64_13808` `pow-base-0_binary64_13802` `unpow1/3_binary64_13785` `pow-plus_binary64_13781` `exp-to-pow_binary64_13780` `pow-base-1_binary64_13778` `unpow0_binary64_13777` `unpow-1_binary64_13775` `exp-lft-cube_binary64_13774` `exp-cbrt_binary64_13772` `exp-sqrt_binary64_13771` `div-exp_binary64_13769` `rec-exp_binary64_13768` `prod-exp_binary64_13767` `exp-diff_binary64_13766` `exp-neg_binary64_13765` `exp-sum_binary64_13764` `e-exp-1_binary64_13763` `exp-0_binary64_13760` `rem-log-exp_binary64_13759` `rem-exp-log_binary64_13758` `cube-neg_binary64_13745` `rem-3cbrt-rft_binary64_13744` `rem-3cbrt-lft_binary64_13743` `rem-cbrt-cube_binary64_13742` `rem-cube-cbrt_binary64_13741` `sqr-abs_binary64_13733` `sqr-neg_binary64_13732` `remove-double-neg_binary64_13706` `sub0-neg_binary64_13705` `--rgt-identity_binary64_13704` `+-rgt-identity_binary64_13703` `+-lft-identity_binary64_13702` `mul0-rgt_binary64_13701` `mul0-lft_binary64_13700` `div0_binary64_13699` `*-inverses_binary64_13698` `+-inverses_binary64_13697` `lft-mult-inverse_binary64_13696` `rgt-mult-inverse_binary64_13695` `remove-double-div_binary64_13694` `pow-sqr_binary64_13691` `difference-of-sqr--1_binary64_13689` `difference-of-sqr-1_binary64_13688` `cancel-sign-sub_binary64_13683` `distribute-frac-neg_binary64_13681` `distribute-neg-out_binary64_13680` `distribute-rgt-neg-out_binary64_13678` `distribute-rgt1-in_binary64_13674` `distribute-lft1-in_binary64_13673` `distribute-lft-out--_binary64_13670` `distribute-lft-out_binary64_13669` `count-2_binary64_13666`

Counts

435 → 300

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	427	10117
1	1209	9688
2	4718	9688
3	4993	9688
4	5012	9688

prune407.0ms (4.1%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	298	2	300
Fresh	6	3	9
Picked	0	1	1
Done	0	1	1
Total	304	7	311

Error

Counts

311 → 7

Compiler

Compiled 6650 to 3626 computations (45.5% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

1.6b	(-.f64 (.f64 y z) (.f64 t z))
3.0b	(/.f64 (.f64 x 2) (-.f64 (.f64 y z) (*.f64 t z)))

rewrite54.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

7×	`add-exp-log_binary64_13756` `add-cbrt-cube_binary64_13754`
4×	`add-log-exp_binary64_13757` `add-cube-cbrt_binary64_13753` `add-sqr-sqrt_binary64_13740` `times-frac_binary64_13724` `-un-lft-identity_binary64_13718` `associate-/r_binary64_13662`
3×	`distribute-rgt-out--_binary64_13672`
2×	`pow1_binary64_13779` `div-exp_binary64_13769` `cbrt-undiv_binary64_13752` `flip3--_binary64_13722` `associate-/r/_binary64_13664` `flip--_binary64_13693`
1×	`prod-exp_binary64_13767` `cbrt-unprod_binary64_13751` `frac-2neg_binary64_13729` `clear-num_binary64_13717` `div-inv_binary64_13715` `associate-/l*_binary64_13663` `diff-log_binary64_13810` `sub-neg_binary64_13711` `cancel-sign-sub-inv_binary64_13684`

Counts

2 → 38

Calls

2 calls:

7.0ms	(/.f64 (.f64 x 2) (-.f64 (.f64 y z) (*.f64 t z)))
4.0ms	(-.f64 (.f64 y z) (.f64 t z))

Compiler

Compiled 758 to 238 computations (68.6% saved)

series537.0ms (5.4%)

Error

Counts

2 → 36

Calls

2 calls:

369.0ms	(/.f64 (.f64 x 2) (-.f64 (.f64 y z) (*.f64 t z)))
144.0ms	(-.f64 (.f64 y z) (.f64 t z))

Compiler

Compiled 1320 to 969 computations (26.6% saved)

simplify78.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

798×	`associate-/l*_binary64_13663`
439×	`associate-/r*_binary64_13662`
358×	`associate-*l/_binary64_13661`
330×	`associate-/l/_binary64_13665`
232×	`div-sub_binary64_13723`
197×	`associate-/r/_binary64_13664`
90×	`cancel-sign-sub-inv_binary64_13684`
86×	`times-frac_binary64_13724`
83×	`distribute-rgt-neg-in_binary64_13676`
79×	`associate-l_binary64_13659`
75×	`distribute-lft-neg-in_binary64_13675`
71×	`distribute-rgt-in_binary64_13668`
68×	`associate-r_binary64_13658`
64×	`distribute-lft-in_binary64_13667`
60×	`log-div_binary64_13805`
55×	`cube-div_binary64_13747`
54×	`*-commutative_binary64_13649`
50×	`exp-prod_binary64_13770`
48×	`cube-prod_binary64_13746`
42×	`distribute-rgt-out_binary64_13671`
41×	`associate-*r/_binary64_13660`
39×	`sub-neg_binary64_13711`
36×	`distribute-neg-frac_binary64_13682`
33×	`sqr-pow_binary64_13690`
31×	`neg-sub0_binary64_13713`
29×	`neg-mul-1_binary64_13714`
25×	`distribute-lft-out_binary64_13669`
24×	`log-prod_binary64_13804`
23×	`+-commutative_binary64_13648`
22×	`*-rgt-identity_binary64_13708`
20×	`unpow3_binary64_13784` `unswap-sqr_binary64_13686`
18×	`cube-mult_binary64_13748`
14×	`swap-sqr_binary64_13685` `distribute-neg-in_binary64_13679` `distribute-rgt-out--_binary64_13672`
12×	`exp-sum_binary64_13764` `distribute-lft-neg-out_binary64_13677`
7×	`exp-diff_binary64_13766` `difference-of-squares_binary64_13687`
6×	`cube-unmult_binary64_13755`
5×	`associate-+l+_binary64_13651`
4×	`distribute-frac-neg_binary64_13681` `distribute-rgt-neg-out_binary64_13678` `associate-+r+_binary64_13650`
3×	`unpow1_binary64_13776` `unsub-neg_binary64_13712` `mul-1-neg_binary64_13710` `associate--r+_binary64_13654`
2×	`unpow2_binary64_13783` `unpow1/2_binary64_13782` `pow-plus_binary64_13781` `rem-sqrt-square_binary64_13731` `/-rgt-identity_binary64_13709` `+-rgt-identity_binary64_13703` `pow-sqr_binary64_13691` `associate--l+_binary64_13655` `associate-+r-_binary64_13652`
1×	`log-rec_binary64_13806` `exp-lft-sqr_binary64_13773` `div-exp_binary64_13769` `prod-exp_binary64_13767` `1-exp_binary64_13762` `cube-neg_binary64_13745` `sqr-neg_binary64_13732` `remove-double-neg_binary64_13706` `cancel-sign-sub_binary64_13683` `distribute-lft-out--_binary64_13670` `associate--r-_binary64_13657`
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_13981` `erf-erfc_binary64_13980` `erf-odd_binary64_13979` `if-if-and-not_binary64_13978` `if-if-and_binary64_13977` `if-if-or-not_binary64_13976` `if-if-or_binary64_13975` `if-not_binary64_13974` `if-same_binary64_13973` `if-false_binary64_13972` `if-true_binary64_13971` `not-gte_binary64_13970` `not-lte_binary64_13969` `not-gt_binary64_13968` `not-lt_binary64_13967` `gte-same_binary64_13966` `lte-same_binary64_13965` `gt-same_binary64_13964` `lt-same_binary64_13963` `sinh---cosh_binary64_13910` `sinh-+-cosh_binary64_13909` `sinh-cosh_binary64_13908` `tanh-def-c_binary64_13907` `tanh-def-b_binary64_13906` `tanh-def-a_binary64_13905` `cosh-def_binary64_13904` `sinh-def_binary64_13903` `tan-neg_binary64_13850` `cos-neg_binary64_13849` `sin-neg_binary64_13848` `tan-0_binary64_13847` `cos-0_binary64_13846` `sin-0_binary64_13845` `hang-m-tan_binary64_13844` `hang-p-tan_binary64_13843` `hang-m0-tan_binary64_13842` `hang-p0-tan_binary64_13841` `hang-0m-tan_binary64_13840` `hang-0p-tan_binary64_13839` `tan-+PI/2_binary64_13838` `tan-+PI_binary64_13837` `tan-PI_binary64_13836` `tan-PI/3_binary64_13835` `tan-PI/4_binary64_13834` `tan-PI/6_binary64_13833` `cos-+PI/2_binary64_13832` `cos-+PI_binary64_13831` `cos-PI_binary64_13830` `cos-PI/2_binary64_13829` `cos-PI/3_binary64_13828` `cos-PI/4_binary64_13827` `cos-PI/6_binary64_13826` `sin-+PI/2_binary64_13825` `sin-+PI_binary64_13824` `sin-PI_binary64_13823` `sin-PI/2_binary64_13822` `sin-PI/3_binary64_13821` `sin-PI/4_binary64_13820` `sin-PI/6_binary64_13819` `sub-1-sin_binary64_13818` `sub-1-cos_binary64_13817` `-1-add-sin_binary64_13816` `-1-add-cos_binary64_13815` `1-sub-sin_binary64_13814` `1-sub-cos_binary64_13813` `cos-sin-sum_binary64_13812` `log-E_binary64_13808` `log-pow_binary64_13807` `pow-base-0_binary64_13802` `unpow1/3_binary64_13785` `exp-to-pow_binary64_13780` `pow-base-1_binary64_13778` `unpow0_binary64_13777` `unpow-1_binary64_13775` `exp-lft-cube_binary64_13774` `exp-cbrt_binary64_13772` `exp-sqrt_binary64_13771` `rec-exp_binary64_13768` `exp-neg_binary64_13765` `e-exp-1_binary64_13763` `exp-1-e_binary64_13761` `exp-0_binary64_13760` `rem-log-exp_binary64_13759` `rem-exp-log_binary64_13758` `rem-3cbrt-rft_binary64_13744` `rem-3cbrt-lft_binary64_13743` `rem-cbrt-cube_binary64_13742` `rem-cube-cbrt_binary64_13741` `sqr-abs_binary64_13733` `rem-square-sqrt_binary64_13730` `-lft-identity_binary64_13707` `sub0-neg_binary64_13705` `--rgt-identity_binary64_13704` `+-lft-identity_binary64_13702` `mul0-rgt_binary64_13701` `mul0-lft_binary64_13700` `div0_binary64_13699` `-inverses_binary64_13698` `+-inverses_binary64_13697` `lft-mult-inverse_binary64_13696` `rgt-mult-inverse_binary64_13695` `remove-double-div_binary64_13694` `difference-of-sqr--1_binary64_13689` `difference-of-sqr-1_binary64_13688` `distribute-neg-out_binary64_13680` `distribute-rgt1-in_binary64_13674` `distribute-lft1-in_binary64_13673` `count-2_binary64_13666` `associate--l-_binary64_13656` `associate-+l-_binary64_13653`

Counts

74 → 58

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	120	1195
1	338	1084
2	1314	1049
3	4697	1049
4	5452	1049

prune47.0ms (0.5%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	57	1	58
Fresh	2	2	4
Picked	0	1	1
Done	1	1	2
Total	60	5	65

Error

Counts

65 → 5

Compiler

Compiled 856 to 322 computations (62.4% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.3b	(/.f64 1 (*.f64 1/2 (/.f64 (-.f64 y t) (/.f64 x z))))
6.2b	(/.f64 (-.f64 y t) (/.f64 x z))

rewrite183.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

122×	`times-frac_binary64_13724`
88×	`add-sqr-sqrt_binary64_13740` `*-un-lft-identity_binary64_13718`
60×	`add-cube-cbrt_binary64_13753`
41×	`add-exp-log_binary64_13756`
21×	`add-cbrt-cube_binary64_13754`
20×	`div-exp_binary64_13769`
14×	`difference-of-squares_binary64_13687` `distribute-lft-out--_binary64_13670` `associate-/r*_binary64_13662`
10×	`cbrt-undiv_binary64_13752`
9×	`prod-exp_binary64_13767`
8×	`div-inv_binary64_13715` `associate-/l*_binary64_13663`
5×	`pow1_binary64_13779`
4×	`1-exp_binary64_13762` `rec-exp_binary64_13768`
3×	`cbrt-unprod_binary64_13751`
2×	`add-log-exp_binary64_13757` `frac-2neg_binary64_13729` `clear-num_binary64_13717` `associate-/l/_binary64_13665` `associate-/r/_binary64_13664` `pow-flip_binary64_13792`
1×	`div-sub_binary64_13723` `flip3--_binary64_13722` `flip--_binary64_13693` `inv-pow_binary64_13803` `pow-prod-down_binary64_13789` `associate-*r/_binary64_13660`

Counts

2 → 138

Calls

2 calls:

15.0ms	(/.f64 1 (*.f64 1/2 (/.f64 (-.f64 y t) (/.f64 x z))))
12.0ms	(/.f64 (-.f64 y t) (/.f64 x z))

Compiler

Compiled 2897 to 1109 computations (61.7% saved)

series663.0ms (6.7%)

Error

Counts

2 → 39

Calls

2 calls:

342.0ms	(/.f64 1 (*.f64 1/2 (/.f64 (-.f64 y t) (/.f64 x z))))
291.0ms	(/.f64 (-.f64 y t) (/.f64 x z))

Compiler

Compiled 1539 to 1128 computations (26.7% saved)

simplify114.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

766×	`associate-/l*_binary64_13663`
669×	`associate-/r*_binary64_13662`
260×	`associate-/r/_binary64_13664`
174×	`distribute-rgt-in_binary64_13668` `distribute-lft-in_binary64_13667`
158×	`associate-*l/_binary64_13661`
151×	`*-commutative_binary64_13649`
145×	`div-sub_binary64_13723`
122×	`associate-/l/_binary64_13665`
111×	`associate-*r/_binary64_13660`
102×	`sub-neg_binary64_13711`
81×	`distribute-neg-frac_binary64_13682`
80×	`associate-r_binary64_13658`
76×	`distribute-rgt-neg-in_binary64_13676`
75×	`distribute-lft-neg-in_binary64_13675`
71×	`cancel-sign-sub-inv_binary64_13684`
69×	`neg-sub0_binary64_13713`
67×	`neg-mul-1_binary64_13714`
63×	`times-frac_binary64_13724`
56×	`associate-l_binary64_13659`
40×	`*-rgt-identity_binary64_13708`
32×	`log-div_binary64_13805` `distribute-neg-in_binary64_13679`
28×	`+-commutative_binary64_13648`
21×	`cube-div_binary64_13747`
19×	`sqr-pow_binary64_13690`
16×	`exp-prod_binary64_13770`
15×	`log-prod_binary64_13804` `cube-prod_binary64_13746` `/-rgt-identity_binary64_13709` `distribute-rgt-out_binary64_13671` `distribute-lft-out_binary64_13669` `associate--r+_binary64_13654`
14×	`unswap-sqr_binary64_13686` `swap-sqr_binary64_13685`
13×	`distribute-rgt-out--_binary64_13672`
9×	`distribute-lft-neg-out_binary64_13677`
8×	`associate-+r+_binary64_13650`
7×	`cube-unmult_binary64_13755` `*-lft-identity_binary64_13707` `associate--r-_binary64_13657` `associate-+r-_binary64_13652`
6×	`unsub-neg_binary64_13712` `associate-+l+_binary64_13651`
5×	`distribute-rgt-neg-out_binary64_13678`
4×	`mul-1-neg_binary64_13710`
3×	`exp-sum_binary64_13764` `remove-double-neg_binary64_13706` `remove-double-div_binary64_13694`
2×	`log-rec_binary64_13806` `unpow2_binary64_13783` `unpow1/2_binary64_13782` `unpow1_binary64_13776` `exp-diff_binary64_13766` `rem-sqrt-square_binary64_13731` `+-lft-identity_binary64_13702` `difference-of-squares_binary64_13687`
1×	`unpow3_binary64_13784` `exp-lft-sqr_binary64_13773` `1-exp_binary64_13762` `cube-mult_binary64_13748` `sub0-neg_binary64_13705` `+-rgt-identity_binary64_13703` `count-2_binary64_13666` `associate-+l-_binary64_13653`
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_13981` `erf-erfc_binary64_13980` `erf-odd_binary64_13979` `if-if-and-not_binary64_13978` `if-if-and_binary64_13977` `if-if-or-not_binary64_13976` `if-if-or_binary64_13975` `if-not_binary64_13974` `if-same_binary64_13973` `if-false_binary64_13972` `if-true_binary64_13971` `not-gte_binary64_13970` `not-lte_binary64_13969` `not-gt_binary64_13968` `not-lt_binary64_13967` `gte-same_binary64_13966` `lte-same_binary64_13965` `gt-same_binary64_13964` `lt-same_binary64_13963` `sinh---cosh_binary64_13910` `sinh-+-cosh_binary64_13909` `sinh-cosh_binary64_13908` `tanh-def-c_binary64_13907` `tanh-def-b_binary64_13906` `tanh-def-a_binary64_13905` `cosh-def_binary64_13904` `sinh-def_binary64_13903` `tan-neg_binary64_13850` `cos-neg_binary64_13849` `sin-neg_binary64_13848` `tan-0_binary64_13847` `cos-0_binary64_13846` `sin-0_binary64_13845` `hang-m-tan_binary64_13844` `hang-p-tan_binary64_13843` `hang-m0-tan_binary64_13842` `hang-p0-tan_binary64_13841` `hang-0m-tan_binary64_13840` `hang-0p-tan_binary64_13839` `tan-+PI/2_binary64_13838` `tan-+PI_binary64_13837` `tan-PI_binary64_13836` `tan-PI/3_binary64_13835` `tan-PI/4_binary64_13834` `tan-PI/6_binary64_13833` `cos-+PI/2_binary64_13832` `cos-+PI_binary64_13831` `cos-PI_binary64_13830` `cos-PI/2_binary64_13829` `cos-PI/3_binary64_13828` `cos-PI/4_binary64_13827` `cos-PI/6_binary64_13826` `sin-+PI/2_binary64_13825` `sin-+PI_binary64_13824` `sin-PI_binary64_13823` `sin-PI/2_binary64_13822` `sin-PI/3_binary64_13821` `sin-PI/4_binary64_13820` `sin-PI/6_binary64_13819` `sub-1-sin_binary64_13818` `sub-1-cos_binary64_13817` `-1-add-sin_binary64_13816` `-1-add-cos_binary64_13815` `1-sub-sin_binary64_13814` `1-sub-cos_binary64_13813` `cos-sin-sum_binary64_13812` `log-E_binary64_13808` `log-pow_binary64_13807` `pow-base-0_binary64_13802` `unpow1/3_binary64_13785` `pow-plus_binary64_13781` `exp-to-pow_binary64_13780` `pow-base-1_binary64_13778` `unpow0_binary64_13777` `unpow-1_binary64_13775` `exp-lft-cube_binary64_13774` `exp-cbrt_binary64_13772` `exp-sqrt_binary64_13771` `div-exp_binary64_13769` `rec-exp_binary64_13768` `prod-exp_binary64_13767` `exp-neg_binary64_13765` `e-exp-1_binary64_13763` `exp-1-e_binary64_13761` `exp-0_binary64_13760` `rem-log-exp_binary64_13759` `rem-exp-log_binary64_13758` `cube-neg_binary64_13745` `rem-3cbrt-rft_binary64_13744` `rem-3cbrt-lft_binary64_13743` `rem-cbrt-cube_binary64_13742` `rem-cube-cbrt_binary64_13741` `sqr-abs_binary64_13733` `sqr-neg_binary64_13732` `rem-square-sqrt_binary64_13730` `--rgt-identity_binary64_13704` `mul0-rgt_binary64_13701` `mul0-lft_binary64_13700` `div0_binary64_13699` `*-inverses_binary64_13698` `+-inverses_binary64_13697` `lft-mult-inverse_binary64_13696` `rgt-mult-inverse_binary64_13695` `pow-sqr_binary64_13691` `difference-of-sqr--1_binary64_13689` `difference-of-sqr-1_binary64_13688` `cancel-sign-sub_binary64_13683` `distribute-frac-neg_binary64_13681` `distribute-neg-out_binary64_13680` `distribute-rgt1-in_binary64_13674` `distribute-lft1-in_binary64_13673` `distribute-lft-out--_binary64_13670` `associate--l-_binary64_13656` `associate--l+_binary64_13655`

Counts

177 → 130

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	288	3660
1	760	3369
2	2289	3334
3	5067	3334

prune111.0ms (1.1%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	129	1	130
Fresh	1	1	2
Picked	0	1	1
Done	0	2	2
Total	130	5	135

Error

Counts

135 → 5

Compiler

Compiled 2066 to 756 computations (63.4% saved)

regimes1.3s (12.8%)

Accuracy

Total 1.3b remaining (100%)

Threshold costs 0b (0%)

Compiler

Compiled 9077 to 7718 computations (15% saved)

bsearch4.0ms (0%)

Compiler: Compiled 7 to 7 computations (0% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

9×	`*-commutative_binary64_13649`
5×	`sub-neg_binary64_13711` `+-commutative_binary64_13648`
3×	`neg-mul-1_binary64_13714` `neg-sub0_binary64_13713`
2×	`cancel-sign-sub-inv_binary64_13684` `distribute-rgt-neg-in_binary64_13676`
1×	`1-exp_binary64_13762` `distribute-lft-neg-out_binary64_13677` `distribute-lft-neg-in_binary64_13675`
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_13978` `if-if-and_binary64_13977` `if-if-or-not_binary64_13976` `if-if-or_binary64_13975` `if-not_binary64_13974` `if-same_binary64_13973` `if-false_binary64_13972` `if-true_binary64_13971` `tan-0_binary64_13847` `cos-0_binary64_13846` `sin-0_binary64_13845` `unpow1_binary64_13776` `e-exp-1_binary64_13763` `exp-1-e_binary64_13761` `exp-0_binary64_13760` `sqr-abs_binary64_13733` `sqr-neg_binary64_13732` `unsub-neg_binary64_13712` `mul-1-neg_binary64_13710` `/-rgt-identity_binary64_13709` `-rgt-identity_binary64_13708` `-lft-identity_binary64_13707` `remove-double-neg_binary64_13706` `sub0-neg_binary64_13705` `--rgt-identity_binary64_13704` `+-rgt-identity_binary64_13703` `+-lft-identity_binary64_13702` `cancel-sign-sub_binary64_13683` `distribute-neg-frac_binary64_13682` `distribute-frac-neg_binary64_13681` `distribute-neg-out_binary64_13680` `distribute-neg-in_binary64_13679` `distribute-rgt-neg-out_binary64_13678`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	78
1	40	78
2	50	78
3	56	78
4	60	78
5	61	78
6	60	78

end0.0ms (0%)

sample1.9s (18.8%)

Algorithm

1×

intervals

Results

282.0ms	8000×	body	128	valid
28.0ms	714×	body	128	invalid

Compiler

Compiled 1402 to 1157 computations (17.5% saved)

Details

analyze846.0ms (8.5%)

sample27.0ms (0.3%)

simplify78.0ms (0.8%)

prune4.0ms (0%)

localize7.0ms (0.1%)

rewrite343.0ms (3.5%)

series695.0ms (7%)

simplify283.0ms (2.8%)

prune192.0ms (1.9%)

localize9.0ms (0.1%)

rewrite706.0ms (7.1%)

series1.1s (10.8%)

simplify320.0ms (3.2%)

prune407.0ms (4.1%)

localize8.0ms (0.1%)

rewrite54.0ms (0.5%)

series537.0ms (5.4%)

simplify78.0ms (0.8%)

prune47.0ms (0.5%)

localize8.0ms (0.1%)

rewrite183.0ms (1.8%)

series663.0ms (6.7%)

simplify114.0ms (1.1%)

prune111.0ms (1.1%)

regimes1.3s (12.8%)

bsearch4.0ms (0%)

simplify6.0ms (0.1%)

end0.0ms (0%)

sample1.9s (18.8%)

Profiling