Details

analyze184.0ms (2.5%)

Algorithm

1×	search
2×	egg-herbie

Rules

40×	`sub-neg_binary64_5186`
38×	`cancel-sign-sub-inv_binary64_5159`
26×	`distribute-rgt-in_binary64_5143` `associate--r+_binary64_5129`
24×	`distribute-rgt-neg-in_binary64_5151`
20×	`neg-mul-1_binary64_5189`
18×	`*-commutative_binary64_5124`
16×	`distribute-lft-neg-in_binary64_5150`
12×	`associate--r-_binary64_5132`
10×	`neg-sub0_binary64_5188` `sub0-neg_binary64_5180` `associate--l-_binary64_5131` `+-commutative_binary64_5123`
8×	`unsub-neg_binary64_5187` `distribute-neg-frac_binary64_5157` `associate-/l_binary64_5138` `associate-/r_binary64_5137` `associate--l+_binary64_5130`
6×	`*-lft-identity_binary64_5182` `distribute-lft-neg-out_binary64_5152` `associate-+l-_binary64_5128` `associate-+r+_binary64_5125`
4×	`remove-double-neg_binary64_5181` `+-rgt-identity_binary64_5178` `+-lft-identity_binary64_5177` `distribute-neg-in_binary64_5154` `distribute-rgt-neg-out_binary64_5153` `associate-/l/_binary64_5140` `associate-/r/_binary64_5139` `associate-l/_binary64_5136` `associate-r/_binary64_5135` `associate-+r-_binary64_5127` `associate-+l+_binary64_5126`
1×	`1-exp_binary64_5237`
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_5456` `erf-erfc_binary64_5455` `erf-odd_binary64_5454` `if-if-and-not_binary64_5453` `if-if-and_binary64_5452` `if-if-or-not_binary64_5451` `if-if-or_binary64_5450` `if-not_binary64_5449` `if-same_binary64_5448` `if-false_binary64_5447` `if-true_binary64_5446` `not-gte_binary64_5445` `not-lte_binary64_5444` `not-gt_binary64_5443` `not-lt_binary64_5442` `gte-same_binary64_5441` `lte-same_binary64_5440` `gt-same_binary64_5439` `lt-same_binary64_5438` `sinh---cosh_binary64_5385` `sinh-+-cosh_binary64_5384` `sinh-cosh_binary64_5383` `tanh-def-c_binary64_5382` `tanh-def-b_binary64_5381` `tanh-def-a_binary64_5380` `cosh-def_binary64_5379` `sinh-def_binary64_5378` `tan-neg_binary64_5325` `cos-neg_binary64_5324` `sin-neg_binary64_5323` `tan-0_binary64_5322` `cos-0_binary64_5321` `sin-0_binary64_5320` `hang-m-tan_binary64_5319` `hang-p-tan_binary64_5318` `hang-m0-tan_binary64_5317` `hang-p0-tan_binary64_5316` `hang-0m-tan_binary64_5315` `hang-0p-tan_binary64_5314` `tan-+PI/2_binary64_5313` `tan-+PI_binary64_5312` `tan-PI_binary64_5311` `tan-PI/3_binary64_5310` `tan-PI/4_binary64_5309` `tan-PI/6_binary64_5308` `cos-+PI/2_binary64_5307` `cos-+PI_binary64_5306` `cos-PI_binary64_5305` `cos-PI/2_binary64_5304` `cos-PI/3_binary64_5303` `cos-PI/4_binary64_5302` `cos-PI/6_binary64_5301` `sin-+PI/2_binary64_5300` `sin-+PI_binary64_5299` `sin-PI_binary64_5298` `sin-PI/2_binary64_5297` `sin-PI/3_binary64_5296` `sin-PI/4_binary64_5295` `sin-PI/6_binary64_5294` `sub-1-sin_binary64_5293` `sub-1-cos_binary64_5292` `-1-add-sin_binary64_5291` `-1-add-cos_binary64_5290` `1-sub-sin_binary64_5289` `1-sub-cos_binary64_5288` `cos-sin-sum_binary64_5287` `log-E_binary64_5283` `log-pow_binary64_5282` `log-rec_binary64_5281` `log-div_binary64_5280` `log-prod_binary64_5279` `pow-base-0_binary64_5277` `unpow1/3_binary64_5260` `unpow3_binary64_5259` `unpow2_binary64_5258` `unpow1/2_binary64_5257` `pow-plus_binary64_5256` `exp-to-pow_binary64_5255` `pow-base-1_binary64_5253` `unpow0_binary64_5252` `unpow1_binary64_5251` `unpow-1_binary64_5250` `exp-lft-cube_binary64_5249` `exp-lft-sqr_binary64_5248` `exp-cbrt_binary64_5247` `exp-sqrt_binary64_5246` `exp-prod_binary64_5245` `div-exp_binary64_5244` `rec-exp_binary64_5243` `prod-exp_binary64_5242` `exp-diff_binary64_5241` `exp-neg_binary64_5240` `exp-sum_binary64_5239` `e-exp-1_binary64_5238` `exp-1-e_binary64_5236` `exp-0_binary64_5235` `rem-log-exp_binary64_5234` `rem-exp-log_binary64_5233` `cube-unmult_binary64_5230` `cube-mult_binary64_5223` `cube-div_binary64_5222` `cube-prod_binary64_5221` `cube-neg_binary64_5220` `rem-3cbrt-rft_binary64_5219` `rem-3cbrt-lft_binary64_5218` `rem-cbrt-cube_binary64_5217` `rem-cube-cbrt_binary64_5216` `sqr-abs_binary64_5208` `sqr-neg_binary64_5207` `rem-sqrt-square_binary64_5206` `rem-square-sqrt_binary64_5205` `times-frac_binary64_5199` `div-sub_binary64_5198` `mul-1-neg_binary64_5185` `/-rgt-identity_binary64_5184` `-rgt-identity_binary64_5183` `--rgt-identity_binary64_5179` `mul0-rgt_binary64_5176` `mul0-lft_binary64_5175` `div0_binary64_5174` `-inverses_binary64_5173` `+-inverses_binary64_5172` `lft-mult-inverse_binary64_5171` `rgt-mult-inverse_binary64_5170` `remove-double-div_binary64_5169` `pow-sqr_binary64_5166` `sqr-pow_binary64_5165` `difference-of-sqr--1_binary64_5164` `difference-of-sqr-1_binary64_5163` `difference-of-squares_binary64_5162` `unswap-sqr_binary64_5161` `swap-sqr_binary64_5160` `cancel-sign-sub_binary64_5158` `distribute-frac-neg_binary64_5156` `distribute-neg-out_binary64_5155` `distribute-rgt1-in_binary64_5149` `distribute-lft1-in_binary64_5148` `distribute-rgt-out--_binary64_5147` `distribute-rgt-out_binary64_5146` `distribute-lft-out--_binary64_5145` `distribute-lft-out_binary64_5144` `distribute-lft-in_binary64_5142` `count-2_binary64_5141` `associate-l_binary64_5134` `associate-r_binary64_5133`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	24
1	18	24
2	26	24
3	36	24
4	50	24
5	89	24
6	105	24
7	151	24
8	153	24
9	179	24
10	208	24
11	241	24
12	271	24
13	284	24
14	246	24
0	2	2
1	2	2

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
50%	50%	0.1%	2
50%	50%	0.1%	3
74.9%	25%	0.1%	4
74.9%	25%	0.1%	5
87.4%	12.5%	0.1%	6
87.4%	12.5%	0.1%	7
93.7%	6.2%	0.1%	8
93.7%	6.2%	0.1%	9
96.8%	3.1%	0.1%	10
96.8%	3.1%	0.1%	11
98.3%	1.6%	0.1%	12
98.3%	1.6%	0.1%	13
99.1%	0.8%	0.1%	14

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample15.0ms (0.2%)

Algorithm

1×

intervals

Results

6.0ms	248×	body	128	valid
1.0ms	5×	body	2048	valid
0.0ms	2×	body	512	valid
0.0ms	1×	body	1024	valid

Compiler

Compiled 17 to 17 computations (0% saved)

simplify17.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

24×	`sub-neg_binary64_5186` `cancel-sign-sub-inv_binary64_5159`
21×	`distribute-rgt-in_binary64_5143`
14×	`neg-mul-1_binary64_5189`
13×	`distribute-rgt-neg-in_binary64_5151`
12×	`unsub-neg_binary64_5187`
11×	`associate--r+_binary64_5129` `*-commutative_binary64_5124`
9×	`neg-sub0_binary64_5188`
8×	`distribute-lft-neg-in_binary64_5150` `associate-+l-_binary64_5128` `+-commutative_binary64_5123`
7×	`associate--r-_binary64_5132`
6×	`distribute-neg-in_binary64_5154`
5×	`*-lft-identity_binary64_5182` `sub0-neg_binary64_5180` `distribute-lft-neg-out_binary64_5152` `distribute-lft-in_binary64_5142` `associate--l-_binary64_5131` `associate--l+_binary64_5130` `associate-+l+_binary64_5126`
4×	`+-lft-identity_binary64_5177` `distribute-neg-frac_binary64_5157` `associate-/l_binary64_5138` `associate-/r_binary64_5137`
3×	`remove-double-neg_binary64_5181` `distribute-neg-out_binary64_5155` `distribute-rgt-neg-out_binary64_5153` `associate-+r+_binary64_5125`
2×	`-rgt-identity_binary64_5183` `--rgt-identity_binary64_5179` `distribute-lft-out--_binary64_5145` `associate-/l/_binary64_5140` `associate-/r/_binary64_5139` `associate-l/_binary64_5136` `associate-*r/_binary64_5135` `associate-+r-_binary64_5127`
1×	`1-exp_binary64_5237` `+-rgt-identity_binary64_5178` `distribute-lft-out_binary64_5144`
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_5456` `erf-erfc_binary64_5455` `erf-odd_binary64_5454` `if-if-and-not_binary64_5453` `if-if-and_binary64_5452` `if-if-or-not_binary64_5451` `if-if-or_binary64_5450` `if-not_binary64_5449` `if-same_binary64_5448` `if-false_binary64_5447` `if-true_binary64_5446` `not-gte_binary64_5445` `not-lte_binary64_5444` `not-gt_binary64_5443` `not-lt_binary64_5442` `gte-same_binary64_5441` `lte-same_binary64_5440` `gt-same_binary64_5439` `lt-same_binary64_5438` `sinh---cosh_binary64_5385` `sinh-+-cosh_binary64_5384` `sinh-cosh_binary64_5383` `tanh-def-c_binary64_5382` `tanh-def-b_binary64_5381` `tanh-def-a_binary64_5380` `cosh-def_binary64_5379` `sinh-def_binary64_5378` `tan-neg_binary64_5325` `cos-neg_binary64_5324` `sin-neg_binary64_5323` `tan-0_binary64_5322` `cos-0_binary64_5321` `sin-0_binary64_5320` `hang-m-tan_binary64_5319` `hang-p-tan_binary64_5318` `hang-m0-tan_binary64_5317` `hang-p0-tan_binary64_5316` `hang-0m-tan_binary64_5315` `hang-0p-tan_binary64_5314` `tan-+PI/2_binary64_5313` `tan-+PI_binary64_5312` `tan-PI_binary64_5311` `tan-PI/3_binary64_5310` `tan-PI/4_binary64_5309` `tan-PI/6_binary64_5308` `cos-+PI/2_binary64_5307` `cos-+PI_binary64_5306` `cos-PI_binary64_5305` `cos-PI/2_binary64_5304` `cos-PI/3_binary64_5303` `cos-PI/4_binary64_5302` `cos-PI/6_binary64_5301` `sin-+PI/2_binary64_5300` `sin-+PI_binary64_5299` `sin-PI_binary64_5298` `sin-PI/2_binary64_5297` `sin-PI/3_binary64_5296` `sin-PI/4_binary64_5295` `sin-PI/6_binary64_5294` `sub-1-sin_binary64_5293` `sub-1-cos_binary64_5292` `-1-add-sin_binary64_5291` `-1-add-cos_binary64_5290` `1-sub-sin_binary64_5289` `1-sub-cos_binary64_5288` `cos-sin-sum_binary64_5287` `log-E_binary64_5283` `log-pow_binary64_5282` `log-rec_binary64_5281` `log-div_binary64_5280` `log-prod_binary64_5279` `pow-base-0_binary64_5277` `unpow1/3_binary64_5260` `unpow3_binary64_5259` `unpow2_binary64_5258` `unpow1/2_binary64_5257` `pow-plus_binary64_5256` `exp-to-pow_binary64_5255` `pow-base-1_binary64_5253` `unpow0_binary64_5252` `unpow1_binary64_5251` `unpow-1_binary64_5250` `exp-lft-cube_binary64_5249` `exp-lft-sqr_binary64_5248` `exp-cbrt_binary64_5247` `exp-sqrt_binary64_5246` `exp-prod_binary64_5245` `div-exp_binary64_5244` `rec-exp_binary64_5243` `prod-exp_binary64_5242` `exp-diff_binary64_5241` `exp-neg_binary64_5240` `exp-sum_binary64_5239` `e-exp-1_binary64_5238` `exp-1-e_binary64_5236` `exp-0_binary64_5235` `rem-log-exp_binary64_5234` `rem-exp-log_binary64_5233` `cube-unmult_binary64_5230` `cube-mult_binary64_5223` `cube-div_binary64_5222` `cube-prod_binary64_5221` `cube-neg_binary64_5220` `rem-3cbrt-rft_binary64_5219` `rem-3cbrt-lft_binary64_5218` `rem-cbrt-cube_binary64_5217` `rem-cube-cbrt_binary64_5216` `sqr-abs_binary64_5208` `sqr-neg_binary64_5207` `rem-sqrt-square_binary64_5206` `rem-square-sqrt_binary64_5205` `times-frac_binary64_5199` `div-sub_binary64_5198` `mul-1-neg_binary64_5185` `/-rgt-identity_binary64_5184` `mul0-rgt_binary64_5176` `mul0-lft_binary64_5175` `div0_binary64_5174` `-inverses_binary64_5173` `+-inverses_binary64_5172` `lft-mult-inverse_binary64_5171` `rgt-mult-inverse_binary64_5170` `remove-double-div_binary64_5169` `pow-sqr_binary64_5166` `sqr-pow_binary64_5165` `difference-of-sqr--1_binary64_5164` `difference-of-sqr-1_binary64_5163` `difference-of-squares_binary64_5162` `unswap-sqr_binary64_5161` `swap-sqr_binary64_5160` `cancel-sign-sub_binary64_5158` `distribute-frac-neg_binary64_5156` `distribute-rgt1-in_binary64_5149` `distribute-lft1-in_binary64_5148` `distribute-rgt-out--_binary64_5147` `distribute-rgt-out_binary64_5146` `count-2_binary64_5141` `associate-l_binary64_5134` `associate-r*_binary64_5133`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	12
1	11	12
2	16	12
3	22	12
4	28	12
5	43	12
6	66	12
7	85	12
8	110	12
9	117	12
10	131	12
11	145	12
12	165	12
13	187	12
14	197	12
15	159	12

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.0b

Counts

1 → 1

Compiler

Compiled 8 to 7 computations (12.5% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b	(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))

rewrite23.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

3×	`add-log-exp_binary64_5232` `*-un-lft-identity_binary64_5193`
1×	`sum-log_binary64_5284` `pow1_binary64_5254` `add-exp-log_binary64_5231` `add-cbrt-cube_binary64_5229` `add-cube-cbrt_binary64_5228` `add-sqr-sqrt_binary64_5215` `flip3-+_binary64_5196` `flip-+_binary64_5167` `distribute-lft-out_binary64_5144` `+-commutative_binary64_5123`

Counts

1 → 12

Calls

1 calls:

9.0ms

(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))

Compiler

Compiled 209 to 102 computations (51.2% saved)

series106.0ms (1.4%)

Error

0.0b

Counts

1 → 9

Calls

1 calls:

101.0ms

(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))

Compiler

Compiled 160 to 118 computations (26.3% saved)

simplify73.0ms (1%)

Algorithm

1×	egg-herbie

Rules

849×	`div-sub_binary64_5198`
474×	`times-frac_binary64_5199`
416×	`distribute-rgt-out_binary64_5146`
331×	`distribute-rgt-in_binary64_5143`
315×	`associate-+l+_binary64_5126`
313×	`cancel-sign-sub-inv_binary64_5159`
265×	`distribute-lft-in_binary64_5142`
253×	`associate-+r+_binary64_5125`
212×	`unsub-neg_binary64_5187`
161×	`distribute-rgt-neg-out_binary64_5153`
160×	`distribute-lft-neg-out_binary64_5152`
155×	`associate-l_binary64_5134`
146×	`unswap-sqr_binary64_5161`
144×	`associate-/l*_binary64_5138`
139×	`sub-neg_binary64_5186`
113×	`associate-r_binary64_5133`
98×	`associate-*l/_binary64_5136`
85×	`distribute-rgt-neg-in_binary64_5151`
80×	`distribute-frac-neg_binary64_5156`
79×	`*-commutative_binary64_5124`
71×	`distribute-lft-neg-in_binary64_5150`
70×	`associate-*r/_binary64_5135`
62×	`associate-/l/_binary64_5140`
59×	`neg-mul-1_binary64_5189`
56×	`distribute-neg-frac_binary64_5157`
55×	`+-commutative_binary64_5123`
53×	`distribute-neg-in_binary64_5154`
52×	`neg-sub0_binary64_5188` `associate-+l-_binary64_5128`
50×	`distribute-rgt-out--_binary64_5147` `associate--r+_binary64_5129`
49×	`associate-/r/_binary64_5139`
37×	`cancel-sign-sub_binary64_5158`
31×	`distribute-neg-out_binary64_5155`
30×	`mul0-rgt_binary64_5176` `mul0-lft_binary64_5175` `sqr-pow_binary64_5165`
29×	`associate-/r*_binary64_5137`
23×	`cube-prod_binary64_5221` `sub0-neg_binary64_5180`
21×	`associate-+r-_binary64_5127`
16×	`distribute-lft-out_binary64_5144`
15×	`cube-unmult_binary64_5230`
13×	`exp-prod_binary64_5245`
12×	`unpow3_binary64_5259` `pow-plus_binary64_5256` `remove-double-neg_binary64_5181`
10×	`exp-sum_binary64_5239` `+-rgt-identity_binary64_5178` `associate--l+_binary64_5130`
9×	`associate--r-_binary64_5132`
8×	`exp-diff_binary64_5241` `div0_binary64_5174`
5×	`cube-mult_binary64_5223` `distribute-rgt1-in_binary64_5149`
4×	`cube-div_binary64_5222` `cube-neg_binary64_5220` `sqr-neg_binary64_5207` `swap-sqr_binary64_5160`
3×	`*-lft-identity_binary64_5182` `+-lft-identity_binary64_5177` `difference-of-squares_binary64_5162` `associate--l-_binary64_5131`
2×	`unpow2_binary64_5258` `exp-sqrt_binary64_5246` `exp-neg_binary64_5240` `pow-sqr_binary64_5166` `distribute-lft-out--_binary64_5145` `count-2_binary64_5141`
1×	`prod-exp_binary64_5242` `1-exp_binary64_5237` `sqr-abs_binary64_5208`
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_5456` `erf-erfc_binary64_5455` `erf-odd_binary64_5454` `if-if-and-not_binary64_5453` `if-if-and_binary64_5452` `if-if-or-not_binary64_5451` `if-if-or_binary64_5450` `if-not_binary64_5449` `if-same_binary64_5448` `if-false_binary64_5447` `if-true_binary64_5446` `not-gte_binary64_5445` `not-lte_binary64_5444` `not-gt_binary64_5443` `not-lt_binary64_5442` `gte-same_binary64_5441` `lte-same_binary64_5440` `gt-same_binary64_5439` `lt-same_binary64_5438` `sinh---cosh_binary64_5385` `sinh-+-cosh_binary64_5384` `sinh-cosh_binary64_5383` `tanh-def-c_binary64_5382` `tanh-def-b_binary64_5381` `tanh-def-a_binary64_5380` `cosh-def_binary64_5379` `sinh-def_binary64_5378` `tan-neg_binary64_5325` `cos-neg_binary64_5324` `sin-neg_binary64_5323` `tan-0_binary64_5322` `cos-0_binary64_5321` `sin-0_binary64_5320` `hang-m-tan_binary64_5319` `hang-p-tan_binary64_5318` `hang-m0-tan_binary64_5317` `hang-p0-tan_binary64_5316` `hang-0m-tan_binary64_5315` `hang-0p-tan_binary64_5314` `tan-+PI/2_binary64_5313` `tan-+PI_binary64_5312` `tan-PI_binary64_5311` `tan-PI/3_binary64_5310` `tan-PI/4_binary64_5309` `tan-PI/6_binary64_5308` `cos-+PI/2_binary64_5307` `cos-+PI_binary64_5306` `cos-PI_binary64_5305` `cos-PI/2_binary64_5304` `cos-PI/3_binary64_5303` `cos-PI/4_binary64_5302` `cos-PI/6_binary64_5301` `sin-+PI/2_binary64_5300` `sin-+PI_binary64_5299` `sin-PI_binary64_5298` `sin-PI/2_binary64_5297` `sin-PI/3_binary64_5296` `sin-PI/4_binary64_5295` `sin-PI/6_binary64_5294` `sub-1-sin_binary64_5293` `sub-1-cos_binary64_5292` `-1-add-sin_binary64_5291` `-1-add-cos_binary64_5290` `1-sub-sin_binary64_5289` `1-sub-cos_binary64_5288` `cos-sin-sum_binary64_5287` `log-E_binary64_5283` `log-pow_binary64_5282` `log-rec_binary64_5281` `log-div_binary64_5280` `log-prod_binary64_5279` `pow-base-0_binary64_5277` `unpow1/3_binary64_5260` `unpow1/2_binary64_5257` `exp-to-pow_binary64_5255` `pow-base-1_binary64_5253` `unpow0_binary64_5252` `unpow1_binary64_5251` `unpow-1_binary64_5250` `exp-lft-cube_binary64_5249` `exp-lft-sqr_binary64_5248` `exp-cbrt_binary64_5247` `div-exp_binary64_5244` `rec-exp_binary64_5243` `e-exp-1_binary64_5238` `exp-1-e_binary64_5236` `exp-0_binary64_5235` `rem-log-exp_binary64_5234` `rem-exp-log_binary64_5233` `rem-3cbrt-rft_binary64_5219` `rem-3cbrt-lft_binary64_5218` `rem-cbrt-cube_binary64_5217` `rem-cube-cbrt_binary64_5216` `rem-sqrt-square_binary64_5206` `rem-square-sqrt_binary64_5205` `mul-1-neg_binary64_5185` `/-rgt-identity_binary64_5184` `-rgt-identity_binary64_5183` `--rgt-identity_binary64_5179` `-inverses_binary64_5173` `+-inverses_binary64_5172` `lft-mult-inverse_binary64_5171` `rgt-mult-inverse_binary64_5170` `remove-double-div_binary64_5169` `difference-of-sqr--1_binary64_5164` `difference-of-sqr-1_binary64_5163` `distribute-lft1-in_binary64_5148`

Counts

21 → 9

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	32	334
1	91	309
2	187	302
3	404	302
4	962	302
5	2561	302
6	3998	302
7	5086	302

prune14.0ms (0.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	7	2	9
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	7	3	10

Error

0.0b

Counts

10 → 3

Compiler

Compiled 201 to 108 computations (46.3% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x)))))
0.5b	(cbrt.f64 (+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x)))))
0.5b	(cbrt.f64 (+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x)))))
0.5b	(.f64 (cbrt.f64 (+.f64 x (.f64 1/2 (fabs.f64 (-.f64 y x))))) (cbrt.f64 (+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x))))))

rewrite214.0ms (2.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

25×	`cbrt-prod_binary64_5224`
23×	`add-sqr-sqrt_binary64_5215`
18×	`cbrt-div_binary64_5225`
15×	`add-cube-cbrt_binary64_5228` `*-un-lft-identity_binary64_5193`
11×	`pow1_binary64_5254`
9×	`pow1/3_binary64_5275` `flip3-+_binary64_5196` `flip-+_binary64_5167`
6×	`add-exp-log_binary64_5231` `swap-sqr_binary64_5160` `associate-l_binary64_5134` `associate-r_binary64_5133`
4×	`add-log-exp_binary64_5232` `add-cbrt-cube_binary64_5229` `frac-times_binary64_5203` `unswap-sqr_binary64_5161`
2×	`pow-prod-down_binary64_5264` `pow-prod-up_binary64_5263` `pow-sqr_binary64_5166` `associate-l/_binary64_5136` `associate-r/_binary64_5135`
1×	`pow2_binary64_5274` `pow-plus_binary64_5256` `prod-exp_binary64_5242` `cbrt-unprod_binary64_5226` `*-commutative_binary64_5124`

Counts

4 → 87

Calls

4 calls:

12.0ms	(.f64 (cbrt.f64 (+.f64 x (.f64 1/2 (fabs.f64 (-.f64 y x))))) (cbrt.f64 (+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x))))))
2.0ms	(cbrt.f64 (+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x)))))
2.0ms	(cbrt.f64 (+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x)))))
2.0ms	(cbrt.f64 (+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x)))))

Compiler

Compiled 3758 to 1915 computations (49% saved)

series1.8s (24.9%)

Error

0.0b

Counts

4 → 50

Calls

4 calls:

535.0ms	(.f64 (cbrt.f64 (+.f64 x (.f64 1/2 (fabs.f64 (-.f64 y x))))) (cbrt.f64 (+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x))))))
410.0ms	(cbrt.f64 (+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x)))))
400.0ms	(cbrt.f64 (+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x)))))
397.0ms	(cbrt.f64 (+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x)))))

Compiler

Compiled 4587 to 2959 computations (35.5% saved)

simplify170.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

381×	`*-commutative_binary64_5124`
337×	`distribute-rgt-in_binary64_5143`
318×	`distribute-lft-in_binary64_5142`
274×	`cancel-sign-sub-inv_binary64_5159`
256×	`unswap-sqr_binary64_5161`
211×	`distribute-rgt-neg-in_binary64_5151`
205×	`distribute-lft-neg-in_binary64_5150`
160×	`sqr-pow_binary64_5165` `associate-r_binary64_5133`
148×	`associate-/r*_binary64_5137`
144×	`log-prod_binary64_5279`
126×	`associate-l_binary64_5134`
121×	`sub-neg_binary64_5186`
75×	`associate-/l/_binary64_5140`
64×	`neg-mul-1_binary64_5189` `neg-sub0_binary64_5188`
62×	`associate-+l+_binary64_5126`
61×	`+-commutative_binary64_5123`
58×	`exp-prod_binary64_5245` `distribute-rgt-out_binary64_5146`
49×	`associate-+r+_binary64_5125`
36×	`cube-prod_binary64_5221`
35×	`log-pow_binary64_5282`
28×	`distribute-rgt-out--_binary64_5147`
27×	`swap-sqr_binary64_5160`
26×	`unsub-neg_binary64_5187` `associate--l+_binary64_5130` `associate-+r-_binary64_5127`
25×	`+-rgt-identity_binary64_5178`
22×	`pow-sqr_binary64_5166`
21×	`distribute-lft-out_binary64_5144` `associate-+l-_binary64_5128`
19×	`associate-/l*_binary64_5138`
18×	`unpow1/3_binary64_5260`
17×	`pow-plus_binary64_5256` `exp-sum_binary64_5239`
16×	`rem-sqrt-square_binary64_5206`
14×	`-rgt-identity_binary64_5183` `-lft-identity_binary64_5182`
13×	`sub0-neg_binary64_5180`
12×	`cube-unmult_binary64_5230` `distribute-lft-neg-out_binary64_5152`
10×	`distribute-neg-in_binary64_5154`
9×	`unpow3_binary64_5259` `count-2_binary64_5141`
7×	`log-div_binary64_5280` `exp-diff_binary64_5241` `distribute-lft-out--_binary64_5145`
6×	`div-sub_binary64_5198` `distribute-rgt-neg-out_binary64_5153`
5×	`cube-mult_binary64_5223` `associate-/r/_binary64_5139`
4×	`unpow1/2_binary64_5257`
3×	`unpow2_binary64_5258` `unpow1_binary64_5251` `rem-exp-log_binary64_5233` `associate--r-_binary64_5132`
2×	`log-rec_binary64_5281` `exp-to-pow_binary64_5255` `exp-neg_binary64_5240` `rem-3cbrt-lft_binary64_5218` `+-lft-identity_binary64_5177` `difference-of-squares_binary64_5162` `associate--r+_binary64_5129`
1×	`1-exp_binary64_5237` `exp-1-e_binary64_5236` `rem-3cbrt-rft_binary64_5219` `rem-cbrt-cube_binary64_5217` `sqr-abs_binary64_5208` `rem-square-sqrt_binary64_5205` `remove-double-neg_binary64_5181` `+-inverses_binary64_5172` `distribute-rgt1-in_binary64_5149`
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_5456` `erf-erfc_binary64_5455` `erf-odd_binary64_5454` `if-if-and-not_binary64_5453` `if-if-and_binary64_5452` `if-if-or-not_binary64_5451` `if-if-or_binary64_5450` `if-not_binary64_5449` `if-same_binary64_5448` `if-false_binary64_5447` `if-true_binary64_5446` `not-gte_binary64_5445` `not-lte_binary64_5444` `not-gt_binary64_5443` `not-lt_binary64_5442` `gte-same_binary64_5441` `lte-same_binary64_5440` `gt-same_binary64_5439` `lt-same_binary64_5438` `sinh---cosh_binary64_5385` `sinh-+-cosh_binary64_5384` `sinh-cosh_binary64_5383` `tanh-def-c_binary64_5382` `tanh-def-b_binary64_5381` `tanh-def-a_binary64_5380` `cosh-def_binary64_5379` `sinh-def_binary64_5378` `tan-neg_binary64_5325` `cos-neg_binary64_5324` `sin-neg_binary64_5323` `tan-0_binary64_5322` `cos-0_binary64_5321` `sin-0_binary64_5320` `hang-m-tan_binary64_5319` `hang-p-tan_binary64_5318` `hang-m0-tan_binary64_5317` `hang-p0-tan_binary64_5316` `hang-0m-tan_binary64_5315` `hang-0p-tan_binary64_5314` `tan-+PI/2_binary64_5313` `tan-+PI_binary64_5312` `tan-PI_binary64_5311` `tan-PI/3_binary64_5310` `tan-PI/4_binary64_5309` `tan-PI/6_binary64_5308` `cos-+PI/2_binary64_5307` `cos-+PI_binary64_5306` `cos-PI_binary64_5305` `cos-PI/2_binary64_5304` `cos-PI/3_binary64_5303` `cos-PI/4_binary64_5302` `cos-PI/6_binary64_5301` `sin-+PI/2_binary64_5300` `sin-+PI_binary64_5299` `sin-PI_binary64_5298` `sin-PI/2_binary64_5297` `sin-PI/3_binary64_5296` `sin-PI/4_binary64_5295` `sin-PI/6_binary64_5294` `sub-1-sin_binary64_5293` `sub-1-cos_binary64_5292` `-1-add-sin_binary64_5291` `-1-add-cos_binary64_5290` `1-sub-sin_binary64_5289` `1-sub-cos_binary64_5288` `cos-sin-sum_binary64_5287` `log-E_binary64_5283` `pow-base-0_binary64_5277` `pow-base-1_binary64_5253` `unpow0_binary64_5252` `unpow-1_binary64_5250` `exp-lft-cube_binary64_5249` `exp-lft-sqr_binary64_5248` `exp-cbrt_binary64_5247` `exp-sqrt_binary64_5246` `div-exp_binary64_5244` `rec-exp_binary64_5243` `prod-exp_binary64_5242` `e-exp-1_binary64_5238` `exp-0_binary64_5235` `rem-log-exp_binary64_5234` `cube-div_binary64_5222` `cube-neg_binary64_5220` `rem-cube-cbrt_binary64_5216` `sqr-neg_binary64_5207` `times-frac_binary64_5199` `mul-1-neg_binary64_5185` `/-rgt-identity_binary64_5184` `--rgt-identity_binary64_5179` `mul0-rgt_binary64_5176` `mul0-lft_binary64_5175` `div0_binary64_5174` `-inverses_binary64_5173` `lft-mult-inverse_binary64_5171` `rgt-mult-inverse_binary64_5170` `remove-double-div_binary64_5169` `difference-of-sqr--1_binary64_5164` `difference-of-sqr-1_binary64_5163` `cancel-sign-sub_binary64_5158` `distribute-neg-frac_binary64_5157` `distribute-frac-neg_binary64_5156` `distribute-neg-out_binary64_5155` `distribute-lft1-in_binary64_5148` `associate-l/_binary64_5136` `associate-*r/_binary64_5135` `associate--l-_binary64_5131`

Counts

137 → 124

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	175	4316
1	428	4022
2	1217	3903
3	2518	3885
4	4943	3885
5	4968	3885

prune244.0ms (3.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	122	2	124
Fresh	0	1	1
Picked	1	0	1
Done	0	1	1
Total	123	4	127

Error

0.0b

Counts

127 → 4

Compiler

Compiled 4783 to 2511 computations (47.5% saved)

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (+.f64 x (*.f64 (fabs.f64 (-.f64 y x)) 1/2)))
0.5b	(cbrt.f64 (cbrt.f64 (+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x))))))
0.5b	(cbrt.f64 (cbrt.f64 (+.f64 x (*.f64 (fabs.f64 (-.f64 y x)) 1/2))))
1.0b	(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (*.f64 (fabs.f64 (-.f64 y x)) 1/2)))) 5)

rewrite171.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

30×	`cbrt-prod_binary64_5224`
13×	`add-cube-cbrt_binary64_5228` `add-sqr-sqrt_binary64_5215` `*-un-lft-identity_binary64_5193`
10×	`cbrt-div_binary64_5225`
9×	`unpow-prod-down_binary64_5272`
5×	`pow1_binary64_5254` `add-exp-log_binary64_5231`
4×	`pow1/3_binary64_5275` `add-log-exp_binary64_5232` `add-cbrt-cube_binary64_5229`
3×	`pow-unpow_binary64_5270` `flip3-+_binary64_5196` `flip-+_binary64_5167`
2×	`pow-pow_binary64_5265`
1×	`pow-to-exp_binary64_5262` `pow-exp_binary64_5261` `sqr-pow_binary64_5165`

Counts

4 → 69

Calls

4 calls:

5.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (*.f64 (fabs.f64 (-.f64 y x)) 1/2)))) 5)
3.0ms	(cbrt.f64 (cbrt.f64 (+.f64 x (*.f64 (fabs.f64 (-.f64 y x)) 1/2))))
3.0ms	(cbrt.f64 (cbrt.f64 (+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x))))))
2.0ms	(cbrt.f64 (+.f64 x (*.f64 (fabs.f64 (-.f64 y x)) 1/2)))

Compiler

Compiled 3090 to 1754 computations (43.2% saved)

series1.9s (25.2%)

Error

0.0b

Counts

4 → 38

Calls

4 calls:

739.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (*.f64 (fabs.f64 (-.f64 y x)) 1/2)))) 5)
393.0ms	(cbrt.f64 (+.f64 x (*.f64 (fabs.f64 (-.f64 y x)) 1/2)))
330.0ms	(cbrt.f64 (cbrt.f64 (+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x))))))
319.0ms	(cbrt.f64 (cbrt.f64 (+.f64 x (*.f64 (fabs.f64 (-.f64 y x)) 1/2))))

Compiler

Compiled 3984 to 2631 computations (34% saved)

simplify153.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

706×	`associate-l_binary64_5134`
658×	`associate-r_binary64_5133`
334×	`log-prod_binary64_5279`
246×	`*-commutative_binary64_5124`
242×	`sqr-pow_binary64_5165`
165×	`unswap-sqr_binary64_5161`
140×	`cancel-sign-sub-inv_binary64_5159`
113×	`sub-neg_binary64_5186`
87×	`distribute-rgt-neg-in_binary64_5151`
80×	`distribute-lft-neg-in_binary64_5150`
73×	`exp-prod_binary64_5245`
65×	`+-commutative_binary64_5123`
58×	`cube-unmult_binary64_5230` `neg-sub0_binary64_5188`
55×	`neg-mul-1_binary64_5189`
54×	`swap-sqr_binary64_5160`
49×	`cube-prod_binary64_5221`
48×	`associate-+l+_binary64_5126`
44×	`log-pow_binary64_5282` `associate-/r*_binary64_5137`
39×	`associate-+r+_binary64_5125`
35×	`pow-sqr_binary64_5166`
32×	`distribute-lft-neg-out_binary64_5152`
27×	`associate--l+_binary64_5130`
25×	`associate-+r-_binary64_5127`
24×	`distribute-rgt-neg-out_binary64_5153`
23×	`unsub-neg_binary64_5187` `+-rgt-identity_binary64_5178` `distribute-rgt-in_binary64_5143`
22×	`exp-sum_binary64_5239`
21×	`pow-plus_binary64_5256`
19×	`distribute-lft-in_binary64_5142` `associate-+l-_binary64_5128`
13×	`distribute-rgt-out--_binary64_5147`
12×	`sub0-neg_binary64_5180`
11×	`rem-sqrt-square_binary64_5206`
10×	`unpow1/3_binary64_5260` `distribute-neg-in_binary64_5154` `distribute-rgt-out_binary64_5146`
9×	`unpow3_binary64_5259`
7×	`exp-diff_binary64_5241`
6×	`cube-mult_binary64_5223` `div-sub_binary64_5198`
5×	`log-div_binary64_5280` `associate-/l/_binary64_5140`
4×	`exp-neg_binary64_5240` `+-lft-identity_binary64_5177`
3×	`unpow1/2_binary64_5257` `exp-to-pow_binary64_5255` `unpow1_binary64_5251` `rem-exp-log_binary64_5233` `rem-3cbrt-lft_binary64_5218` `difference-of-squares_binary64_5162` `count-2_binary64_5141` `associate-*r/_binary64_5135` `associate--r-_binary64_5132`
2×	`log-rec_binary64_5281` `unpow2_binary64_5258` `*-lft-identity_binary64_5182` `distribute-neg-out_binary64_5155` `associate--r+_binary64_5129`
1×	`1-exp_binary64_5237` `rem-cbrt-cube_binary64_5217` `sqr-abs_binary64_5208` `-rgt-identity_binary64_5183` `remove-double-neg_binary64_5181` `+-inverses_binary64_5172` `associate-/r/_binary64_5139` `associate-/l_binary64_5138`
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_5456` `erf-erfc_binary64_5455` `erf-odd_binary64_5454` `if-if-and-not_binary64_5453` `if-if-and_binary64_5452` `if-if-or-not_binary64_5451` `if-if-or_binary64_5450` `if-not_binary64_5449` `if-same_binary64_5448` `if-false_binary64_5447` `if-true_binary64_5446` `not-gte_binary64_5445` `not-lte_binary64_5444` `not-gt_binary64_5443` `not-lt_binary64_5442` `gte-same_binary64_5441` `lte-same_binary64_5440` `gt-same_binary64_5439` `lt-same_binary64_5438` `sinh---cosh_binary64_5385` `sinh-+-cosh_binary64_5384` `sinh-cosh_binary64_5383` `tanh-def-c_binary64_5382` `tanh-def-b_binary64_5381` `tanh-def-a_binary64_5380` `cosh-def_binary64_5379` `sinh-def_binary64_5378` `tan-neg_binary64_5325` `cos-neg_binary64_5324` `sin-neg_binary64_5323` `tan-0_binary64_5322` `cos-0_binary64_5321` `sin-0_binary64_5320` `hang-m-tan_binary64_5319` `hang-p-tan_binary64_5318` `hang-m0-tan_binary64_5317` `hang-p0-tan_binary64_5316` `hang-0m-tan_binary64_5315` `hang-0p-tan_binary64_5314` `tan-+PI/2_binary64_5313` `tan-+PI_binary64_5312` `tan-PI_binary64_5311` `tan-PI/3_binary64_5310` `tan-PI/4_binary64_5309` `tan-PI/6_binary64_5308` `cos-+PI/2_binary64_5307` `cos-+PI_binary64_5306` `cos-PI_binary64_5305` `cos-PI/2_binary64_5304` `cos-PI/3_binary64_5303` `cos-PI/4_binary64_5302` `cos-PI/6_binary64_5301` `sin-+PI/2_binary64_5300` `sin-+PI_binary64_5299` `sin-PI_binary64_5298` `sin-PI/2_binary64_5297` `sin-PI/3_binary64_5296` `sin-PI/4_binary64_5295` `sin-PI/6_binary64_5294` `sub-1-sin_binary64_5293` `sub-1-cos_binary64_5292` `-1-add-sin_binary64_5291` `-1-add-cos_binary64_5290` `1-sub-sin_binary64_5289` `1-sub-cos_binary64_5288` `cos-sin-sum_binary64_5287` `log-E_binary64_5283` `pow-base-0_binary64_5277` `pow-base-1_binary64_5253` `unpow0_binary64_5252` `unpow-1_binary64_5250` `exp-lft-cube_binary64_5249` `exp-lft-sqr_binary64_5248` `exp-cbrt_binary64_5247` `exp-sqrt_binary64_5246` `div-exp_binary64_5244` `rec-exp_binary64_5243` `prod-exp_binary64_5242` `e-exp-1_binary64_5238` `exp-1-e_binary64_5236` `exp-0_binary64_5235` `rem-log-exp_binary64_5234` `cube-div_binary64_5222` `cube-neg_binary64_5220` `rem-3cbrt-rft_binary64_5219` `rem-cube-cbrt_binary64_5216` `sqr-neg_binary64_5207` `rem-square-sqrt_binary64_5205` `times-frac_binary64_5199` `mul-1-neg_binary64_5185` `/-rgt-identity_binary64_5184` `--rgt-identity_binary64_5179` `mul0-rgt_binary64_5176` `mul0-lft_binary64_5175` `div0_binary64_5174` `-inverses_binary64_5173` `lft-mult-inverse_binary64_5171` `rgt-mult-inverse_binary64_5170` `remove-double-div_binary64_5169` `difference-of-sqr--1_binary64_5164` `difference-of-sqr-1_binary64_5163` `cancel-sign-sub_binary64_5158` `distribute-neg-frac_binary64_5157` `distribute-frac-neg_binary64_5156` `distribute-rgt1-in_binary64_5149` `distribute-lft1-in_binary64_5148` `distribute-lft-out--_binary64_5145` `distribute-lft-out_binary64_5144` `associate-l/_binary64_5136` `associate--l-_binary64_5131`

Counts

107 → 67

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	233	2888
1	493	2750
2	1216	2733
3	3954	2710
4	4828	2710
5	4943	2710

prune146.0ms (2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	66	1	67
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	66	5	71

Error

0.0b

Counts

71 → 5

Compiler

Compiled 2881 to 1643 computations (43% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x))))
0.0b	(sqrt.f64 (+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x)))))
0.0b	(sqrt.f64 (+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x)))))
0.4b	(.f64 (sqrt.f64 (+.f64 x (.f64 1/2 (fabs.f64 (-.f64 y x))))) (sqrt.f64 (+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x))))))

rewrite176.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

30×	`add-sqr-sqrt_binary64_5215`
24×	`sqrt-prod_binary64_5209`
21×	`pow1_binary64_5254`
16×	`sqrt-div_binary64_5210`
14×	`add-cube-cbrt_binary64_5228` `*-un-lft-identity_binary64_5193`
10×	`pow1/2_binary64_5273` `sqrt-pow1_binary64_5211`
9×	`flip3-+_binary64_5196` `flip-+_binary64_5167`
8×	`swap-sqr_binary64_5160`
6×	`add-exp-log_binary64_5231` `add-log-exp_binary64_5232` `add-cbrt-cube_binary64_5229` `associate-l_binary64_5134` `associate-r_binary64_5133`
5×	`pow-prod-up_binary64_5263`
4×	`rem-sqrt-square_binary64_5206` `frac-times_binary64_5203` `unswap-sqr_binary64_5161`
3×	`pow-prod-down_binary64_5264` `pow-sqr_binary64_5166`
2×	`associate-l/_binary64_5136` `associate-r/_binary64_5135`
1×	`pow2_binary64_5274` `pow-plus_binary64_5256` `prod-exp_binary64_5242` `cbrt-unprod_binary64_5226` `sqrt-unprod_binary64_5213` `sqr-abs_binary64_5208` `rem-square-sqrt_binary64_5205` `*-commutative_binary64_5124` `sum-log_binary64_5284` `+-commutative_binary64_5123`

Counts

4 → 99

Calls

4 calls:

10.0ms	(.f64 (sqrt.f64 (+.f64 x (.f64 1/2 (fabs.f64 (-.f64 y x))))) (sqrt.f64 (+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x))))))
3.0ms	(+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x))))
2.0ms	(sqrt.f64 (+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x)))))
2.0ms	(sqrt.f64 (+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x)))))

Compiler

Compiled 3144 to 1616 computations (48.6% saved)

series497.0ms (6.7%)

Error

0.0b

Counts

4 → 34

Calls

4 calls:

138.0ms	(sqrt.f64 (+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x)))))
132.0ms	(sqrt.f64 (+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x)))))
100.0ms	(+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x))))
94.0ms	(.f64 (sqrt.f64 (+.f64 x (.f64 1/2 (fabs.f64 (-.f64 y x))))) (sqrt.f64 (+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x))))))

Compiler

Compiled 1696 to 1107 computations (34.7% saved)

simplify110.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

587×	`distribute-rgt-in_binary64_5143`
568×	`distribute-lft-in_binary64_5142`
415×	`associate-l_binary64_5134`
339×	`associate-r_binary64_5133`
305×	`times-frac_binary64_5199`
183×	`unswap-sqr_binary64_5161`
177×	`cancel-sign-sub-inv_binary64_5159`
151×	`distribute-rgt-out_binary64_5146`
127×	`distribute-rgt-neg-in_binary64_5151`
121×	`*-commutative_binary64_5124`
119×	`distribute-lft-neg-in_binary64_5150`
107×	`distribute-lft-out_binary64_5144`
90×	`distribute-neg-frac_binary64_5157`
58×	`sqr-pow_binary64_5165`
47×	`swap-sqr_binary64_5160`
46×	`associate-*r/_binary64_5135`
45×	`sub-neg_binary64_5186`
42×	`associate-/l*_binary64_5138`
38×	`associate-*l/_binary64_5136`
37×	`exp-prod_binary64_5245`
34×	`associate-/r*_binary64_5137`
33×	`log-prod_binary64_5279` `neg-sub0_binary64_5188`
31×	`neg-mul-1_binary64_5189`
24×	`cube-prod_binary64_5221`
19×	`-rgt-identity_binary64_5183` `-lft-identity_binary64_5182`
17×	`+-commutative_binary64_5123`
16×	`associate-+l+_binary64_5126`
15×	`distribute-lft-neg-out_binary64_5152`
13×	`pow-sqr_binary64_5166` `distribute-rgt-out--_binary64_5147`
12×	`rem-sqrt-square_binary64_5206` `associate-+r+_binary64_5125`
11×	`pow-plus_binary64_5256` `cube-unmult_binary64_5230` `distribute-rgt-neg-out_binary64_5153`
10×	`associate-+r-_binary64_5127`
9×	`rem-square-sqrt_binary64_5205` `+-rgt-identity_binary64_5178`
8×	`unsub-neg_binary64_5187` `distribute-neg-in_binary64_5154` `associate-+l-_binary64_5128`
7×	`unpow3_binary64_5259`
5×	`sub0-neg_binary64_5180` `distribute-lft-out--_binary64_5145`
4×	`log-pow_binary64_5282` `exp-sum_binary64_5239` `cube-mult_binary64_5223`
3×	`unpow1/2_binary64_5257` `associate--l+_binary64_5130`
2×	`difference-of-squares_binary64_5162` `count-2_binary64_5141`
1×	`unpow2_binary64_5258` `unpow1_binary64_5251` `prod-exp_binary64_5242` `1-exp_binary64_5237` `exp-1-e_binary64_5236` `rem-3cbrt-rft_binary64_5219` `rem-3cbrt-lft_binary64_5218` `sqr-abs_binary64_5208` `associate-/r/_binary64_5139`
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_5456` `erf-erfc_binary64_5455` `erf-odd_binary64_5454` `if-if-and-not_binary64_5453` `if-if-and_binary64_5452` `if-if-or-not_binary64_5451` `if-if-or_binary64_5450` `if-not_binary64_5449` `if-same_binary64_5448` `if-false_binary64_5447` `if-true_binary64_5446` `not-gte_binary64_5445` `not-lte_binary64_5444` `not-gt_binary64_5443` `not-lt_binary64_5442` `gte-same_binary64_5441` `lte-same_binary64_5440` `gt-same_binary64_5439` `lt-same_binary64_5438` `sinh---cosh_binary64_5385` `sinh-+-cosh_binary64_5384` `sinh-cosh_binary64_5383` `tanh-def-c_binary64_5382` `tanh-def-b_binary64_5381` `tanh-def-a_binary64_5380` `cosh-def_binary64_5379` `sinh-def_binary64_5378` `tan-neg_binary64_5325` `cos-neg_binary64_5324` `sin-neg_binary64_5323` `tan-0_binary64_5322` `cos-0_binary64_5321` `sin-0_binary64_5320` `hang-m-tan_binary64_5319` `hang-p-tan_binary64_5318` `hang-m0-tan_binary64_5317` `hang-p0-tan_binary64_5316` `hang-0m-tan_binary64_5315` `hang-0p-tan_binary64_5314` `tan-+PI/2_binary64_5313` `tan-+PI_binary64_5312` `tan-PI_binary64_5311` `tan-PI/3_binary64_5310` `tan-PI/4_binary64_5309` `tan-PI/6_binary64_5308` `cos-+PI/2_binary64_5307` `cos-+PI_binary64_5306` `cos-PI_binary64_5305` `cos-PI/2_binary64_5304` `cos-PI/3_binary64_5303` `cos-PI/4_binary64_5302` `cos-PI/6_binary64_5301` `sin-+PI/2_binary64_5300` `sin-+PI_binary64_5299` `sin-PI_binary64_5298` `sin-PI/2_binary64_5297` `sin-PI/3_binary64_5296` `sin-PI/4_binary64_5295` `sin-PI/6_binary64_5294` `sub-1-sin_binary64_5293` `sub-1-cos_binary64_5292` `-1-add-sin_binary64_5291` `-1-add-cos_binary64_5290` `1-sub-sin_binary64_5289` `1-sub-cos_binary64_5288` `cos-sin-sum_binary64_5287` `log-E_binary64_5283` `log-rec_binary64_5281` `log-div_binary64_5280` `pow-base-0_binary64_5277` `unpow1/3_binary64_5260` `exp-to-pow_binary64_5255` `pow-base-1_binary64_5253` `unpow0_binary64_5252` `unpow-1_binary64_5250` `exp-lft-cube_binary64_5249` `exp-lft-sqr_binary64_5248` `exp-cbrt_binary64_5247` `exp-sqrt_binary64_5246` `div-exp_binary64_5244` `rec-exp_binary64_5243` `exp-diff_binary64_5241` `exp-neg_binary64_5240` `e-exp-1_binary64_5238` `exp-0_binary64_5235` `rem-log-exp_binary64_5234` `rem-exp-log_binary64_5233` `cube-div_binary64_5222` `cube-neg_binary64_5220` `rem-cbrt-cube_binary64_5217` `rem-cube-cbrt_binary64_5216` `sqr-neg_binary64_5207` `div-sub_binary64_5198` `mul-1-neg_binary64_5185` `/-rgt-identity_binary64_5184` `remove-double-neg_binary64_5181` `--rgt-identity_binary64_5179` `+-lft-identity_binary64_5177` `mul0-rgt_binary64_5176` `mul0-lft_binary64_5175` `div0_binary64_5174` `*-inverses_binary64_5173` `+-inverses_binary64_5172` `lft-mult-inverse_binary64_5171` `rgt-mult-inverse_binary64_5170` `remove-double-div_binary64_5169` `difference-of-sqr--1_binary64_5164` `difference-of-sqr-1_binary64_5163` `cancel-sign-sub_binary64_5158` `distribute-frac-neg_binary64_5156` `distribute-neg-out_binary64_5155` `distribute-rgt1-in_binary64_5149` `distribute-lft1-in_binary64_5148` `associate-/l/_binary64_5140` `associate--r-_binary64_5132` `associate--l-_binary64_5131` `associate--r+_binary64_5129`

Counts

133 → 73

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	103	2837
1	217	2580
2	611	2508
3	2031	2447
4	5390	2447

prune97.0ms (1.3%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	72	1	73
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	72	6	78

Error

Counts

78 → 6

Compiler

Compiled 1746 to 896 computations (48.7% saved)

regimes202.0ms (2.7%)

Accuracy

Total 0.0b remaining (71.9%)

Threshold costs 0.0b (71.9%)

Compiler

Compiled 2327 to 1525 computations (34.5% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

3×	`+-commutative_binary64_5123`
2×	`sub-neg_binary64_5186`
1×	`neg-mul-1_binary64_5189` `neg-sub0_binary64_5188` `*-commutative_binary64_5124`
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_5453` `if-if-and_binary64_5452` `if-if-or-not_binary64_5451` `if-if-or_binary64_5450` `if-not_binary64_5449` `if-same_binary64_5448` `if-false_binary64_5447` `if-true_binary64_5446` `tan-0_binary64_5322` `cos-0_binary64_5321` `sin-0_binary64_5320` `unpow1_binary64_5251` `e-exp-1_binary64_5238` `1-exp_binary64_5237` `exp-1-e_binary64_5236` `exp-0_binary64_5235` `sqr-abs_binary64_5208` `sqr-neg_binary64_5207` `unsub-neg_binary64_5187` `mul-1-neg_binary64_5185` `/-rgt-identity_binary64_5184` `-rgt-identity_binary64_5183` `-lft-identity_binary64_5182` `remove-double-neg_binary64_5181` `sub0-neg_binary64_5180` `--rgt-identity_binary64_5179` `+-rgt-identity_binary64_5178` `+-lft-identity_binary64_5177` `cancel-sign-sub-inv_binary64_5159` `cancel-sign-sub_binary64_5158` `distribute-neg-frac_binary64_5157` `distribute-frac-neg_binary64_5156` `distribute-neg-out_binary64_5155` `distribute-neg-in_binary64_5154` `distribute-rgt-neg-out_binary64_5153` `distribute-lft-neg-out_binary64_5152` `distribute-rgt-neg-in_binary64_5151` `distribute-lft-neg-in_binary64_5150`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	12
1	11	12
2	16	12
3	18	12
4	19	12
5	19	12

end0.0ms (0%)

sample1.0s (14.1%)

Algorithm

1×

intervals

Results

191.0ms	7712×	body	128	valid
9.0ms	112×	body	1024	valid
9.0ms	86×	body	2048	valid
4.0ms	60×	body	512	valid
2.0ms	30×	body	256	valid
0.0ms	2×	body	128	invalid

Compiler

Compiled 786 to 518 computations (34.1% saved)

Iter	Nodes	Cost
0	12	24
1	18	24
2	26	24
3	36	24
4	50	24
5	89	24
6	105	24
7	151	24
8	153	24
9	179	24
10	208	24
11	241	24
12	271	24
13	284	24
14	246	24
0	2	2
1	2	2

Iter	Nodes	Cost
0	8	12
1	11	12
2	16	12
3	22	12
4	28	12
5	43	12
6	66	12
7	85	12
8	110	12
9	117	12
10	131	12
11	145	12
12	165	12
13	187	12
14	197	12
15	159	12

Iter	Nodes	Cost
0	12	24
1	18	24
2	26	24
3	36	24
4	50	24
5	89	24
6	105	24
7	151	24
8	153	24
9	179	24
10	208	24
11	241	24
12	271	24
13	284	24
14	246	24
0	2	2
1	2	2

Iter	Nodes	Cost
0	8	12
1	11	12
2	16	12
3	22	12
4	28	12
5	43	12
6	66	12
7	85	12
8	110	12
9	117	12
10	131	12
11	145	12
12	165	12
13	187	12
14	197	12
15	159	12

Details

analyze184.0ms (2.5%)

sample15.0ms (0.2%)

simplify17.0ms (0.2%)

prune2.0ms (0%)

localize6.0ms (0.1%)

rewrite23.0ms (0.3%)

series106.0ms (1.4%)

simplify73.0ms (1%)

prune14.0ms (0.2%)

localize10.0ms (0.1%)

rewrite214.0ms (2.9%)

series1.8s (24.9%)

simplify170.0ms (2.3%)

prune244.0ms (3.3%)

localize17.0ms (0.2%)

rewrite171.0ms (2.3%)

series1.9s (25.2%)

simplify153.0ms (2.1%)

prune146.0ms (2%)

localize8.0ms (0.1%)

rewrite176.0ms (2.4%)

series497.0ms (6.7%)

simplify110.0ms (1.5%)

prune97.0ms (1.3%)

regimes202.0ms (2.7%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample1.0s (14.1%)

Profiling

Iter	Nodes	Cost
0	12	24
1	18	24
2	26	24
3	36	24
4	50	24
5	89	24
6	105	24
7	151	24
8	153	24
9	179	24
10	208	24
11	241	24
12	271	24
13	284	24
14	246	24
0	2	2
1	2	2

Iter	Nodes	Cost
0	8	12
1	11	12
2	16	12
3	22	12
4	28	12
5	43	12
6	66	12
7	85	12
8	110	12
9	117	12
10	131	12
11	145	12
12	165	12
13	187	12
14	197	12
15	159	12