Details

analyze204.0ms (10.5%)

Algorithm

1×	search
2×	egg-herbie

Rules

26×	`sub-neg_binary64_5186`
24×	`cancel-sign-sub-inv_binary64_5159`
16×	`associate--r+_binary64_5129`
12×	`distribute-rgt-neg-in_binary64_5151` `distribute-rgt-in_binary64_5143` `associate-+l-_binary64_5128`
10×	`+-commutative_binary64_5123`
8×	`neg-mul-1_binary64_5189` `neg-sub0_binary64_5188` `unsub-neg_binary64_5187`
6×	`distribute-rgt-neg-out_binary64_5153` `distribute-lft-neg-out_binary64_5152` `distribute-lft-neg-in_binary64_5150` `distribute-lft-in_binary64_5142` `associate-r_binary64_5133` `*-commutative_binary64_5124`
4×	`sub0-neg_binary64_5180` `mul0-rgt_binary64_5176` `mul0-lft_binary64_5175` `swap-sqr_binary64_5160` `associate-l_binary64_5134` `associate--r-_binary64_5132` `associate--l+_binary64_5130` `associate-+r+_binary64_5125`
2×	`sqr-neg_binary64_5207` `*-lft-identity_binary64_5182` `remove-double-neg_binary64_5181` `+-rgt-identity_binary64_5178` `+-lft-identity_binary64_5177` `distribute-neg-in_binary64_5154` `distribute-rgt-out--_binary64_5147` `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` `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` `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` `cancel-sign-sub_binary64_5158` `distribute-neg-frac_binary64_5157` `distribute-frac-neg_binary64_5156` `distribute-neg-out_binary64_5155` `distribute-rgt1-in_binary64_5149` `distribute-lft1-in_binary64_5148` `distribute-rgt-out_binary64_5146` `distribute-lft-out--_binary64_5145` `distribute-lft-out_binary64_5144` `count-2_binary64_5141` `associate-/l/_binary64_5140` `associate-/r/_binary64_5139` `associate-/l_binary64_5138` `associate-/r_binary64_5137` `associate-l/_binary64_5136` `associate-r/_binary64_5135` `associate--l-_binary64_5131`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	14
1	17	14
2	29	14
3	45	14
4	64	14
5	109	14
6	117	14
7	167	14
8	159	14
9	161	14
10	138	14
0	2	2
1	2	2

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
37.5%	62.4%	0.1%	5
43.7%	56.2%	0.1%	6
43.7%	34.3%	22%	7
46.8%	29.7%	23.5%	8
58.5%	17.2%	24.3%	9
60.5%	14.8%	24.7%	10
66.5%	8.6%	24.9%	11
67.6%	7.4%	25%	12
70.7%	4.3%	25%	13
71.2%	3.7%	25%	14

Compiler

Compiled 6 to 5 computations (16.7% saved)

sample13.0ms (0.7%)

Algorithm

1×

intervals

Results

4.0ms

256×

body

128

valid

Compiler

Compiled 11 to 11 computations (0% saved)

simplify12.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

21×	`cancel-sign-sub-inv_binary64_5159`
18×	`sub-neg_binary64_5186`
11×	`neg-mul-1_binary64_5189`
10×	`distribute-rgt-in_binary64_5143`
9×	`unsub-neg_binary64_5187` `distribute-rgt-neg-in_binary64_5151` `associate--r+_binary64_5129`
8×	`neg-sub0_binary64_5188`
7×	`distribute-lft-neg-out_binary64_5152`
6×	`+-commutative_binary64_5123`
5×	`sub0-neg_binary64_5180` `distribute-lft-in_binary64_5142` `associate-+l-_binary64_5128`
4×	`-lft-identity_binary64_5182` `+-lft-identity_binary64_5177` `distribute-rgt-neg-out_binary64_5153` `-commutative_binary64_5124`
3×	`distribute-neg-in_binary64_5154` `distribute-lft-neg-in_binary64_5150` `associate-+l+_binary64_5126`
2×	`*-rgt-identity_binary64_5183` `remove-double-neg_binary64_5181` `--rgt-identity_binary64_5179` `mul0-rgt_binary64_5176` `mul0-lft_binary64_5175` `associate--r-_binary64_5132`
1×	`1-exp_binary64_5237` `sqr-neg_binary64_5207` `+-rgt-identity_binary64_5178` `cancel-sign-sub_binary64_5158` `associate-r_binary64_5133` `associate--l+_binary64_5130` `associate-+r-_binary64_5127` `associate-+r+_binary64_5125`
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` `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` `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` `distribute-neg-frac_binary64_5157` `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` `count-2_binary64_5141` `associate-/l/_binary64_5140` `associate-/r/_binary64_5139` `associate-/l_binary64_5138` `associate-/r_binary64_5137` `associate-l/_binary64_5136` `associate-r/_binary64_5135` `associate-l*_binary64_5134` `associate--l-_binary64_5131`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	10	7
2	17	7
3	25	7
4	36	7
5	51	7
6	74	7
7	93	7
8	111	7
9	113	7
10	109	7
11	90	7

prune1.0ms (0.1%)

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 5 to 4 computations (20% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b	(-.f64 x (*.f64 y y))

rewrite16.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

3×	`add-log-exp_binary64_5232`
2×	`add-sqr-sqrt_binary64_5215`
1×	`diff-log_binary64_5285` `pow1_binary64_5254` `add-exp-log_binary64_5231` `add-cbrt-cube_binary64_5229` `add-cube-cbrt_binary64_5228` `flip3--_binary64_5197` `*-un-lft-identity_binary64_5193` `sub-neg_binary64_5186` `flip--_binary64_5168` `difference-of-squares_binary64_5162` `cancel-sign-sub-inv_binary64_5159`

Counts

1 → 13

Calls

1 calls:

3.0ms

(-.f64 x (*.f64 y y))

Compiler

Compiled 152 to 47 computations (69.1% saved)

series104.0ms (5.3%)

Error

0.0b

Counts

1 → 12

Calls

1 calls:

98.0ms

(-.f64 x (*.f64 y y))

Compiler

Compiled 126 to 116 computations (7.9% saved)

simplify65.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

843×	`unsub-neg_binary64_5187`
485×	`unswap-sqr_binary64_5161`
436×	`associate-l_binary64_5134`
310×	`associate-r_binary64_5133`
271×	`neg-sub0_binary64_5188`
246×	`neg-mul-1_binary64_5189`
212×	`cancel-sign-sub-inv_binary64_5159`
182×	`associate-+l+_binary64_5126`
159×	`distribute-rgt-in_binary64_5143`
156×	`distribute-rgt-neg-in_binary64_5151`
151×	`distribute-rgt-neg-out_binary64_5153`
148×	`distribute-lft-neg-in_binary64_5150`
140×	`distribute-lft-neg-out_binary64_5152`
132×	`distribute-rgt-out_binary64_5146`
128×	`distribute-lft-in_binary64_5142`
119×	`exp-prod_binary64_5245`
84×	`times-frac_binary64_5199`
71×	`+-commutative_binary64_5123`
68×	`cube-prod_binary64_5221` `distribute-lft-out_binary64_5144`
58×	`*-commutative_binary64_5124`
54×	`sqr-pow_binary64_5165`
47×	`distribute-neg-in_binary64_5154`
46×	`sub-neg_binary64_5186`
38×	`associate-+l-_binary64_5128`
35×	`distribute-neg-out_binary64_5155`
34×	`associate-/l*_binary64_5138`
31×	`exp-sum_binary64_5239`
28×	`associate-+r+_binary64_5125`
25×	`pow-plus_binary64_5256`
24×	`cube-unmult_binary64_5230` `swap-sqr_binary64_5160`
23×	`difference-of-squares_binary64_5162`
22×	`associate--r+_binary64_5129`
21×	`unpow3_binary64_5259` `mul0-rgt_binary64_5176` `mul0-lft_binary64_5175` `associate-/r*_binary64_5137`
20×	`exp-diff_binary64_5241`
17×	`associate-+r-_binary64_5127`
15×	`sqr-neg_binary64_5207`
14×	`pow-sqr_binary64_5166`
13×	`div-sub_binary64_5198` `distribute-rgt-out--_binary64_5147` `associate-/l/_binary64_5140`
10×	`associate-*r/_binary64_5135`
8×	`cube-mult_binary64_5223` `sub0-neg_binary64_5180`
7×	`mul-1-neg_binary64_5185`
6×	`+-rgt-identity_binary64_5178` `associate--l+_binary64_5130`
5×	`exp-neg_binary64_5240` `associate-/r/_binary64_5139` `associate-*l/_binary64_5136`
3×	`cube-neg_binary64_5220`
2×	`--rgt-identity_binary64_5179` `+-lft-identity_binary64_5177`
1×	`log-prod_binary64_5279` `unpow2_binary64_5258` `unpow1/2_binary64_5257` `unpow1_binary64_5251` `div-exp_binary64_5244` `1-exp_binary64_5237` `rem-sqrt-square_binary64_5206` `remove-double-neg_binary64_5181` `cancel-sign-sub_binary64_5158` `distribute-frac-neg_binary64_5156` `distribute-lft-out--_binary64_5145` `associate--r-_binary64_5132` `associate--l-_binary64_5131`
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` `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` `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` `rem-exp-log_binary64_5233` `cube-div_binary64_5222` `rem-3cbrt-rft_binary64_5219` `rem-3cbrt-lft_binary64_5218` `rem-cbrt-cube_binary64_5217` `rem-cube-cbrt_binary64_5216` `sqr-abs_binary64_5208` `rem-square-sqrt_binary64_5205` `/-rgt-identity_binary64_5184` `-rgt-identity_binary64_5183` `-lft-identity_binary64_5182` `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` `distribute-neg-frac_binary64_5157` `distribute-rgt1-in_binary64_5149` `distribute-lft1-in_binary64_5148` `count-2_binary64_5141`

Counts

25 → 15

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	37	241
1	84	217
2	192	214
3	509	214
4	1686	214
5	4009	214
6	5263	214

prune11.0ms (0.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	14	1	15
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	14	2	16

Error

Counts

16 → 2

Compiler

Compiled 117 to 40 computations (65.8% saved)

localize8.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (*.f64 y y) x)
2.5b	(-.f64 (*.f64 x x) (pow.f64 y 4))
28.9b	(/.f64 (-.f64 (.f64 x x) (pow.f64 y 4)) (+.f64 (.f64 y y) x))

rewrite297.0ms (15.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

26×	`add-sqr-sqrt_binary64_5215`
18×	`times-frac_binary64_5199`
16×	`add-cube-cbrt_binary64_5228` `*-un-lft-identity_binary64_5193`
15×	`difference-of-squares_binary64_5162`
8×	`unpow-prod-down_binary64_5272`
7×	`add-log-exp_binary64_5232` `cancel-sign-sub-inv_binary64_5159`
6×	`sqr-pow_binary64_5165` `associate-/l*_binary64_5138`
5×	`add-exp-log_binary64_5231` `add-cbrt-cube_binary64_5229`
3×	`pow1_binary64_5254` `associate-/r*_binary64_5137`
2×	`flip3--_binary64_5197` `associate-/l/_binary64_5140` `flip--_binary64_5168` `flip3-+_binary64_5196` `associate-/r/_binary64_5139` `flip-+_binary64_5167`
1×	`div-exp_binary64_5244` `cbrt-undiv_binary64_5227` `frac-2neg_binary64_5204` `div-sub_binary64_5198` `clear-num_binary64_5192` `div-inv_binary64_5190` `diff-log_binary64_5285` `sub-neg_binary64_5186` `sum-log_binary64_5284` `+-commutative_binary64_5123`

Counts

3 → 76

Calls

3 calls:

12.0ms	(/.f64 (-.f64 (.f64 x x) (pow.f64 y 4)) (+.f64 (.f64 y y) x))
6.0ms	(-.f64 (*.f64 x x) (pow.f64 y 4))
4.0ms	(+.f64 (*.f64 y y) x)

Compiler

Compiled 1829 to 727 computations (60.3% saved)

series561.0ms (28.8%)

Error

Counts

3 → 36

Calls

3 calls:

258.0ms	(/.f64 (-.f64 (.f64 x x) (pow.f64 y 4)) (+.f64 (.f64 y y) x))
190.0ms	(-.f64 (*.f64 x x) (pow.f64 y 4))
93.0ms	(+.f64 (*.f64 y y) x)

Compiler

Compiled 834 to 587 computations (29.6% saved)

simplify104.0ms (5.4%)

Algorithm

1×	egg-herbie

Rules

576×	`associate-l_binary64_5134`
450×	`associate-r_binary64_5133`
437×	`div-sub_binary64_5198`
245×	`associate-/l*_binary64_5138`
170×	`distribute-rgt-in_binary64_5143`
156×	`distribute-lft-in_binary64_5142`
154×	`exp-prod_binary64_5245`
153×	`associate-*l/_binary64_5136`
135×	`*-commutative_binary64_5124`
114×	`associate-/r*_binary64_5137`
110×	`associate-/l/_binary64_5140`
105×	`times-frac_binary64_5199`
93×	`cancel-sign-sub-inv_binary64_5159`
89×	`associate-*r/_binary64_5135`
81×	`associate-/r/_binary64_5139`
80×	`cube-prod_binary64_5221` `unswap-sqr_binary64_5161`
68×	`distribute-rgt-neg-in_binary64_5151`
58×	`sub-neg_binary64_5186`
54×	`distribute-lft-neg-in_binary64_5150`
49×	`distribute-neg-frac_binary64_5157`
47×	`+-commutative_binary64_5123`
44×	`sqr-pow_binary64_5165`
41×	`neg-mul-1_binary64_5189`
38×	`neg-sub0_binary64_5188`
34×	`exp-sum_binary64_5239`
33×	`associate-+l+_binary64_5126`
32×	`associate-+r+_binary64_5125`
29×	`cube-div_binary64_5222`
26×	`pow-plus_binary64_5256`
22×	`distribute-lft-neg-out_binary64_5152`
20×	`cube-unmult_binary64_5230` `distribute-rgt-out_binary64_5146`
16×	`unpow3_binary64_5259`
15×	`exp-diff_binary64_5241` `difference-of-squares_binary64_5162` `associate-+r-_binary64_5127`
14×	`associate-+l-_binary64_5128`
13×	`log-prod_binary64_5279` `*-rgt-identity_binary64_5183`
11×	`distribute-rgt-neg-out_binary64_5153`
10×	`cube-mult_binary64_5223`
9×	`/-rgt-identity_binary64_5184` `pow-sqr_binary64_5166` `distribute-rgt-out--_binary64_5147`
8×	`rem-sqrt-square_binary64_5206` `swap-sqr_binary64_5160`
6×	`log-div_binary64_5280`
5×	`unpow2_binary64_5258` `unpow1/2_binary64_5257` `unpow1_binary64_5251` `distribute-lft-out_binary64_5144`
4×	`distribute-frac-neg_binary64_5156` `distribute-neg-in_binary64_5154` `associate--r-_binary64_5132`
3×	`associate--l-_binary64_5131` `associate--r+_binary64_5129`
2×	`rem-square-sqrt_binary64_5205` `unsub-neg_binary64_5187` `+-rgt-identity_binary64_5178`
1×	`div-exp_binary64_5244` `prod-exp_binary64_5242` `1-exp_binary64_5237` `cube-neg_binary64_5220` `rem-3cbrt-rft_binary64_5219` `rem-3cbrt-lft_binary64_5218` `sqr-neg_binary64_5207` `mul-1-neg_binary64_5185` `*-lft-identity_binary64_5182` `remove-double-neg_binary64_5181` `sub0-neg_binary64_5180` `associate--l+_binary64_5130`
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` `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` `rec-exp_binary64_5243` `exp-neg_binary64_5240` `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-cbrt-cube_binary64_5217` `rem-cube-cbrt_binary64_5216` `sqr-abs_binary64_5208` `--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-neg-out_binary64_5155` `distribute-rgt1-in_binary64_5149` `distribute-lft1-in_binary64_5148` `distribute-lft-out--_binary64_5145` `count-2_binary64_5141`

Counts

112 → 68

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	147	2054
1	371	1918
2	1037	1891
3	3935	1891
4	5075	1891

prune53.0ms (2.7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	68	0	68
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	68	2	70

Error

Counts

70 → 2

Compiler

Compiled 1044 to 337 computations (67.7% saved)

regimes48.0ms (2.5%)

Accuracy

Total 0.0b remaining (21.3%)

Threshold costs 0.0b (21.3%)

Compiler

Compiled 184 to 138 computations (25% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

3×	`sub-neg_binary64_5186` `+-commutative_binary64_5123`
2×	`neg-mul-1_binary64_5189` `neg-sub0_binary64_5188` `*-commutative_binary64_5124`
1×	`cancel-sign-sub-inv_binary64_5159` `distribute-lft-neg-out_binary64_5152` `distribute-rgt-neg-in_binary64_5151`
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_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-in_binary64_5150`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	10	7
2	17	7
3	21	7
4	23	7
5	23	7

end0.0ms (0%)

sample440.0ms (22.7%)

Algorithm

1×

intervals

Results

146.0ms	8000×	body	128	valid
0.0ms	8×	body	128	invalid

Compiler

Compiled 52 to 40 computations (23.1% saved)

Iter	Nodes	Cost
0	7	14
1	17	14
2	29	14
3	45	14
4	64	14
5	109	14
6	117	14
7	167	14
8	159	14
9	161	14
10	138	14
0	2	2
1	2	2

Iter	Nodes	Cost
0	7	14
1	17	14
2	29	14
3	45	14
4	64	14
5	109	14
6	117	14
7	167	14
8	159	14
9	161	14
10	138	14
0	2	2
1	2	2

Details

analyze204.0ms (10.5%)

sample13.0ms (0.7%)

simplify12.0ms (0.6%)

prune1.0ms (0.1%)

localize4.0ms (0.2%)

rewrite16.0ms (0.8%)

series104.0ms (5.3%)

simplify65.0ms (3.3%)

prune11.0ms (0.6%)

localize8.0ms (0.4%)

rewrite297.0ms (15.3%)

series561.0ms (28.8%)

simplify104.0ms (5.4%)

prune53.0ms (2.7%)

regimes48.0ms (2.5%)

bsearch0.0ms (0%)

simplify3.0ms (0.2%)

end0.0ms (0%)

sample440.0ms (22.7%)

Profiling

Iter	Nodes	Cost
0	7	14
1	17	14
2	29	14
3	45	14
4	64	14
5	109	14
6	117	14
7	167	14
8	159	14
9	161	14
10	138	14
0	2	2
1	2	2