Details

analyze224.0ms (13%)

Algorithm

1×

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
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
37.4%	62.4%	0.1%	8
40.6%	56.2%	3.3%	9
46.8%	46%	7.2%	10
58.5%	32.8%	8.7%	11
60.8%	27.9%	11.3%	12
63.8%	22.4%	13.8%	13
69.1%	16.5%	14.4%	14

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample16.0ms (0.9%)

Algorithm

1×

intervals

Results

5.0ms	256×	body	128	valid
0.0ms	19×	body	128	invalid

Compiler

Compiled 15 to 16 computations (-6.7% saved)

simplify97.0ms (5.6%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64_5124`
2×	`+-commutative_binary64_5123`
1×	`distribute-rgt-out_binary64_5146` `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` `1-exp_binary64_5237` `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` `neg-mul-1_binary64_5189` `neg-sub0_binary64_5188` `unsub-neg_binary64_5187` `sub-neg_binary64_5186` `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` `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-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` `distribute-rgt1-in_binary64_5149` `distribute-lft1-in_binary64_5148` `distribute-rgt-out--_binary64_5147` `distribute-lft-out--_binary64_5145` `distribute-rgt-in_binary64_5143` `distribute-lft-in_binary64_5142` `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-r*_binary64_5133` `associate--r-_binary64_5132` `associate--l-_binary64_5131` `associate--l+_binary64_5130` `associate--r+_binary64_5129` `associate-+l-_binary64_5128` `associate-+r-_binary64_5127` `associate-+l+_binary64_5126` `associate-+r+_binary64_5125`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	7
1	12	7
2	14	7

prune3.0ms (0.2%)

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

0.0b

Counts

2 → 2

Compiler

Compiled 17 to 16 computations (5.9% saved)

localize8.0ms (0.5%)

Local error

Found 1 expressions with local error:

0.0b	(+.f64 (.f64 d1 d2) (.f64 d1 d3))

rewrite12.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

3×	`add-log-exp_binary64_5232`
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` `*-un-lft-identity_binary64_5193` `flip-+_binary64_5167` `distribute-lft-out_binary64_5144` `+-commutative_binary64_5123`

Counts

1 → 12

Calls

1 calls:

4.0ms

(+.f64 (*.f64 d1 d2) (*.f64 d1 d3))

Compiler

Compiled 183 to 43 computations (76.5% saved)

series104.0ms (6%)

Error

0.0b

Counts

1 → 15

Calls

1 calls:

95.0ms

(+.f64 (*.f64 d1 d2) (*.f64 d1 d3))

Compiler

Compiled 207 to 134 computations (35.3% saved)

simplify93.0ms (5.4%)

Algorithm

1×	egg-herbie

Rules

550×	`distribute-rgt-out_binary64_5146`
343×	`distribute-rgt-in_binary64_5143`
316×	`unswap-sqr_binary64_5161`
310×	`distribute-lft-in_binary64_5142`
277×	`associate-l_binary64_5134`
237×	`sub-neg_binary64_5186`
229×	`+-commutative_binary64_5123`
223×	`cancel-sign-sub-inv_binary64_5159`
213×	`associate-r_binary64_5133`
206×	`*-commutative_binary64_5124`
179×	`distribute-lft-out_binary64_5144`
170×	`distribute-rgt-neg-in_binary64_5151`
149×	`distribute-rgt-out--_binary64_5147`
145×	`unsub-neg_binary64_5187`
134×	`distribute-lft-neg-in_binary64_5150`
119×	`sqr-pow_binary64_5165`
115×	`distribute-lft-neg-out_binary64_5152`
99×	`associate-+l+_binary64_5126`
98×	`associate-+r+_binary64_5125`
87×	`distribute-neg-in_binary64_5154`
82×	`pow-sqr_binary64_5166` `distribute-rgt-neg-out_binary64_5153`
74×	`associate-+l-_binary64_5128`
69×	`neg-mul-1_binary64_5189`
58×	`neg-sub0_binary64_5188`
57×	`associate--r+_binary64_5129`
56×	`associate-+r-_binary64_5127`
55×	`cancel-sign-sub_binary64_5158`
42×	`sub0-neg_binary64_5180`
29×	`distribute-neg-out_binary64_5155`
27×	`distribute-lft-out--_binary64_5145`
26×	`+-rgt-identity_binary64_5178`
24×	`associate-/l/_binary64_5140`
17×	`exp-sum_binary64_5239` `swap-sqr_binary64_5160`
16×	`remove-double-neg_binary64_5181` `associate--l+_binary64_5130`
14×	`+-lft-identity_binary64_5177` `associate-/l*_binary64_5138`
13×	`associate-*r/_binary64_5135`
12×	`mul0-rgt_binary64_5176` `mul0-lft_binary64_5175` `associate--r-_binary64_5132`
10×	`times-frac_binary64_5199` `distribute-rgt1-in_binary64_5149`
9×	`unpow3_binary64_5259` `cube-unmult_binary64_5230`
8×	`cube-prod_binary64_5221` `--rgt-identity_binary64_5179`
6×	`exp-prod_binary64_5245` `/-rgt-identity_binary64_5184` `difference-of-squares_binary64_5162`
5×	`cube-mult_binary64_5223`
4×	`pow-plus_binary64_5256`
3×	`exp-diff_binary64_5241` `count-2_binary64_5141` `associate-*l/_binary64_5136` `associate--l-_binary64_5131`
2×	`log-prod_binary64_5279` `associate-/r/_binary64_5139`
1×	`prod-exp_binary64_5242` `exp-neg_binary64_5240` `1-exp_binary64_5237` `cube-neg_binary64_5220` `sqr-neg_binary64_5207` `-rgt-identity_binary64_5183` `-lft-identity_binary64_5182` `*-inverses_binary64_5173` `+-inverses_binary64_5172`
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` `unpow2_binary64_5258` `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` `exp-sqrt_binary64_5246` `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` `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-sqrt-square_binary64_5206` `rem-square-sqrt_binary64_5205` `div-sub_binary64_5198` `mul-1-neg_binary64_5185` `div0_binary64_5174` `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-frac-neg_binary64_5156` `distribute-lft1-in_binary64_5148` `associate-/r*_binary64_5137`

Counts

27 → 36

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	31	257
1	107	239
2	379	236
3	1046	233
4	2395	233
5	3550	233

prune22.0ms (1.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	36	0	36
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	36	2	38

Error

0.0b

Counts

38 → 2

Compiler

Compiled 598 to 147 computations (75.4% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b	(*.f64 d1 (+.f64 d2 d3))

rewrite20.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

5×	`add-sqr-sqrt_binary64_5215` `*-un-lft-identity_binary64_5193`
4×	`associate-r_binary64_5133`
3×	`pow1_binary64_5254` `add-exp-log_binary64_5231` `add-cbrt-cube_binary64_5229` `add-cube-cbrt_binary64_5228` `associate-l_binary64_5134`
2×	`associate-*r/_binary64_5135`
1×	`pow-prod-down_binary64_5264` `prod-exp_binary64_5242` `add-log-exp_binary64_5232` `cbrt-unprod_binary64_5226` `unswap-sqr_binary64_5161` `distribute-rgt-in_binary64_5143` `distribute-lft-in_binary64_5142` `flip3-+_binary64_5196` `flip-+_binary64_5167` `distribute-lft-out_binary64_5144` `*-commutative_binary64_5124`

Counts

1 → 23

Calls

1 calls:

6.0ms

(*.f64 d1 (+.f64 d2 d3))

Compiler

Compiled 249 to 80 computations (67.9% saved)

series87.0ms (5.1%)

Error

0.0b

Counts

1 → 15

Calls

1 calls:

81.0ms

(*.f64 d1 (+.f64 d2 d3))

Compiler

Compiled 207 to 134 computations (35.3% saved)

simplify106.0ms (6.2%)

Algorithm

1×	egg-herbie

Rules

937×	`distribute-rgt-in_binary64_5143`
926×	`distribute-lft-in_binary64_5142`
330×	`unswap-sqr_binary64_5161`
275×	`associate-l_binary64_5134`
252×	`distribute-rgt-out_binary64_5146`
206×	`associate-r_binary64_5133`
194×	`sqr-pow_binary64_5165`
154×	`*-commutative_binary64_5124`
142×	`associate-+l+_binary64_5126`
138×	`times-frac_binary64_5199`
134×	`associate-+r+_binary64_5125`
126×	`sub-neg_binary64_5186`
116×	`pow-sqr_binary64_5166`
106×	`cancel-sign-sub-inv_binary64_5159`
86×	`*-rgt-identity_binary64_5183`
83×	`*-lft-identity_binary64_5182`
78×	`associate-/l/_binary64_5140`
70×	`unsub-neg_binary64_5187`
66×	`associate-/l*_binary64_5138`
65×	`distribute-lft-neg-out_binary64_5152`
60×	`distribute-lft-out_binary64_5144`
55×	`distribute-rgt-neg-out_binary64_5153`
52×	`distribute-rgt-neg-in_binary64_5151`
48×	`neg-mul-1_binary64_5189` `associate-*r/_binary64_5135`
46×	`neg-sub0_binary64_5188`
39×	`distribute-lft-neg-in_binary64_5150`
38×	`associate--r+_binary64_5129`
36×	`distribute-neg-in_binary64_5154`
31×	`exp-prod_binary64_5245` `associate-/r/_binary64_5139`
29×	`associate-+r-_binary64_5127`
21×	`cube-prod_binary64_5221`
20×	`associate-+l-_binary64_5128`
18×	`+-rgt-identity_binary64_5178`
16×	`sub0-neg_binary64_5180` `distribute-neg-out_binary64_5155` `associate-/r*_binary64_5137`
14×	`log-prod_binary64_5279` `cube-unmult_binary64_5230`
13×	`distribute-rgt-out--_binary64_5147` `+-commutative_binary64_5123`
11×	`swap-sqr_binary64_5160`
10×	`unpow3_binary64_5259` `count-2_binary64_5141`
9×	`log-div_binary64_5280` `cube-div_binary64_5222` `/-rgt-identity_binary64_5184` `cancel-sign-sub_binary64_5158` `distribute-neg-frac_binary64_5157`
8×	`distribute-rgt1-in_binary64_5149`
7×	`pow-plus_binary64_5256` `exp-sum_binary64_5239` `associate--l+_binary64_5130`
6×	`remove-double-neg_binary64_5181` `associate-*l/_binary64_5136`
5×	`mul0-rgt_binary64_5176` `mul0-lft_binary64_5175`
4×	`div-sub_binary64_5198` `--rgt-identity_binary64_5179` `difference-of-squares_binary64_5162`
3×	`pow-base-1_binary64_5253` `exp-sqrt_binary64_5246` `associate--r-_binary64_5132`
2×	`cube-mult_binary64_5223` `+-inverses_binary64_5172` `remove-double-div_binary64_5169`
1×	`log-rec_binary64_5281` `exp-lft-sqr_binary64_5248` `exp-diff_binary64_5241` `1-exp_binary64_5237` `exp-1-e_binary64_5236` `+-lft-identity_binary64_5177` `*-inverses_binary64_5173` `rgt-mult-inverse_binary64_5170` `distribute-lft1-in_binary64_5148`
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` `pow-base-0_binary64_5277` `unpow1/3_binary64_5260` `unpow2_binary64_5258` `unpow1/2_binary64_5257` `exp-to-pow_binary64_5255` `unpow0_binary64_5252` `unpow1_binary64_5251` `unpow-1_binary64_5250` `exp-lft-cube_binary64_5249` `exp-cbrt_binary64_5247` `div-exp_binary64_5244` `rec-exp_binary64_5243` `prod-exp_binary64_5242` `exp-neg_binary64_5240` `e-exp-1_binary64_5238` `exp-0_binary64_5235` `rem-log-exp_binary64_5234` `rem-exp-log_binary64_5233` `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` `mul-1-neg_binary64_5185` `div0_binary64_5174` `lft-mult-inverse_binary64_5171` `difference-of-sqr--1_binary64_5164` `difference-of-sqr-1_binary64_5163` `distribute-frac-neg_binary64_5156` `distribute-lft-out--_binary64_5145` `associate--l-_binary64_5131`

Counts

38 → 36

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	49	335
1	128	305
2	401	305
3	966	305
4	2800	305
5	3050	305
6	3819	305

prune22.0ms (1.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	34	2	36
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	34	4	38

Error

0.0b

Counts

38 → 4

Compiler

Compiled 407 to 93 computations (77.1% saved)

localize9.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.4b	(*.f64 (cbrt.f64 (+.f64 d3 d2)) (cbrt.f64 (+.f64 d3 d2)))
0.5b	(cbrt.f64 (+.f64 d2 d3))
0.5b	(cbrt.f64 (+.f64 d3 d2))
0.5b	(cbrt.f64 (+.f64 d3 d2))

rewrite100.0ms (5.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

36×	`cbrt-prod_binary64_5224`
35×	`*-un-lft-identity_binary64_5193`
23×	`add-sqr-sqrt_binary64_5215`
18×	`cbrt-div_binary64_5225`
15×	`add-cube-cbrt_binary64_5228`
11×	`pow1_binary64_5254`
9×	`pow1/3_binary64_5275` `flip3-+_binary64_5196` `flip-+_binary64_5167` `distribute-lft-out_binary64_5144` `swap-sqr_binary64_5160`
7×	`associate-l_binary64_5134` `associate-r_binary64_5133`
6×	`add-exp-log_binary64_5231`
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 → 95

Calls

4 calls:

11.0ms	(*.f64 (cbrt.f64 (+.f64 d3 d2)) (cbrt.f64 (+.f64 d3 d2)))
3.0ms	(cbrt.f64 (+.f64 d3 d2))
3.0ms	(cbrt.f64 (+.f64 d3 d2))
3.0ms	(cbrt.f64 (+.f64 d2 d3))

Compiler

Compiled 2263 to 490 computations (78.3% saved)

series635.0ms (36.9%)

Error

0.0b

Counts

4 → 60

Calls

4 calls:

178.0ms	(*.f64 (cbrt.f64 (+.f64 d3 d2)) (cbrt.f64 (+.f64 d3 d2)))
134.0ms	(cbrt.f64 (+.f64 d3 d2))
131.0ms	(cbrt.f64 (+.f64 d2 d3))
128.0ms	(cbrt.f64 (+.f64 d3 d2))

Compiler

Compiled 4290 to 3157 computations (26.4% saved)

simplify161.0ms (9.4%)

Algorithm

1×	egg-herbie

Rules

522×	`associate-l_binary64_5134`
467×	`cancel-sign-sub-inv_binary64_5159`
444×	`associate-r_binary64_5133`
351×	`unswap-sqr_binary64_5161`
348×	`distribute-rgt-neg-in_binary64_5151`
331×	`distribute-lft-neg-in_binary64_5150`
186×	`*-commutative_binary64_5124`
182×	`sqr-pow_binary64_5165`
116×	`pow-sqr_binary64_5166`
112×	`sub-neg_binary64_5186`
64×	`neg-sub0_binary64_5188`
59×	`neg-mul-1_binary64_5189`
58×	`distribute-lft-neg-out_binary64_5152`
55×	`distribute-rgt-in_binary64_5143`
51×	`exp-prod_binary64_5245`
48×	`+-commutative_binary64_5123`
45×	`distribute-rgt-neg-out_binary64_5153` `distribute-lft-in_binary64_5142`
35×	`log-prod_binary64_5279`
32×	`exp-sum_binary64_5239`
27×	`swap-sqr_binary64_5160`
25×	`cube-unmult_binary64_5230`
24×	`*-rgt-identity_binary64_5183`
23×	`cube-prod_binary64_5221` `*-lft-identity_binary64_5182` `associate-+r-_binary64_5127`
22×	`associate-+l+_binary64_5126`
20×	`unsub-neg_binary64_5187` `associate-/r*_binary64_5137`
18×	`+-rgt-identity_binary64_5178` `associate-+l-_binary64_5128`
17×	`pow-plus_binary64_5256`
15×	`associate-+r+_binary64_5125`
14×	`unpow1/3_binary64_5260` `exp-diff_binary64_5241`
12×	`div-sub_binary64_5198` `sub0-neg_binary64_5180` `difference-of-squares_binary64_5162`
8×	`log-pow_binary64_5282` `associate--l+_binary64_5130`
6×	`distribute-neg-in_binary64_5154` `distribute-rgt-out--_binary64_5147` `associate--r-_binary64_5132`
5×	`unpow3_binary64_5259` `rem-exp-log_binary64_5233` `rem-sqrt-square_binary64_5206` `associate-/l*_binary64_5138`
4×	`exp-neg_binary64_5240` `count-2_binary64_5141` `associate-/l/_binary64_5140` `associate-*r/_binary64_5135` `associate--r+_binary64_5129`
3×	`exp-to-pow_binary64_5255` `rem-3cbrt-lft_binary64_5218`
2×	`log-div_binary64_5280` `unpow2_binary64_5258` `unpow1_binary64_5251` `cube-mult_binary64_5223` `remove-double-neg_binary64_5181` `distribute-rgt-out_binary64_5146` `distribute-lft-out_binary64_5144`
1×	`1-exp_binary64_5237` `exp-1-e_binary64_5236` `rem-3cbrt-rft_binary64_5219` `rem-square-sqrt_binary64_5205` `/-rgt-identity_binary64_5184` `mul0-rgt_binary64_5176` `mul0-lft_binary64_5175` `*-inverses_binary64_5173` `+-inverses_binary64_5172` `rgt-mult-inverse_binary64_5170`
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` `pow-base-0_binary64_5277` `unpow1/2_binary64_5257` `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-cbrt-cube_binary64_5217` `rem-cube-cbrt_binary64_5216` `sqr-abs_binary64_5208` `sqr-neg_binary64_5207` `times-frac_binary64_5199` `mul-1-neg_binary64_5185` `--rgt-identity_binary64_5179` `+-lft-identity_binary64_5177` `div0_binary64_5174` `lft-mult-inverse_binary64_5171` `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-rgt1-in_binary64_5149` `distribute-lft1-in_binary64_5148` `distribute-lft-out--_binary64_5145` `associate-/r/_binary64_5139` `associate-*l/_binary64_5136` `associate--l-_binary64_5131`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	162	2739
1	344	2663
2	924	2628
3	2616	2621

Details

analyze224.0ms (13%)

sample16.0ms (0.9%)

simplify97.0ms (5.6%)

prune3.0ms (0.2%)

localize8.0ms (0.5%)

rewrite12.0ms (0.7%)

series104.0ms (6%)

simplify93.0ms (5.4%)

prune22.0ms (1.3%)

localize4.0ms (0.2%)

rewrite20.0ms (1.1%)

series87.0ms (5.1%)

simplify106.0ms (6.2%)

prune22.0ms (1.3%)

localize9.0ms (0.5%)

rewrite100.0ms (5.8%)

series635.0ms (36.9%)

simplify161.0ms (9.4%)

end0.0ms (0%)

Profiling