Details

analyze260.0ms (3.5%)

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
37.4%	62.4%	0.1%	6
49.9%	49.9%	0.1%	7
62.4%	37.4%	0.1%	8
62.4%	37.4%	0.1%	9
71.8%	28.1%	0.1%	10
79.6%	20.3%	0.1%	11
79.6%	20.3%	0.1%	12
85%	14.8%	0.1%	13
89.3%	10.5%	0.1%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample47.0ms (0.6%)

Algorithm

1×

intervals

Results

16.0ms	60×	body	1024	valid
9.0ms	141×	body	128	valid
9.0ms	45×	body	512	valid
1.0ms	10×	body	256	valid

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify156.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64_5124`
1×	`+-commutative_binary64_5123`
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-rgt-out_binary64_5146` `distribute-lft-out--_binary64_5145` `distribute-lft-out_binary64_5144` `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 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	14
1	12	14

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

0.1b

Counts

1 → 1

Compiler

Compiled 9 to 8 computations (11.1% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
0.0b	(sin.f64 y)
0.1b	(*.f64 z (sin.f64 y))
0.1b	(*.f64 x (cos.f64 y))

rewrite71.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

12×	`add-sqr-sqrt_binary64_5215`
8×	`pow1_binary64_5254` `add-exp-log_binary64_5231` `add-cbrt-cube_binary64_5229` `add-cube-cbrt_binary64_5228` `*-un-lft-identity_binary64_5193`
6×	`add-log-exp_binary64_5232` `associate-l_binary64_5134` `associate-r_binary64_5133`
2×	`pow-prod-down_binary64_5264` `prod-exp_binary64_5242` `cbrt-unprod_binary64_5226` `unswap-sqr_binary64_5161` `*-commutative_binary64_5124`
1×	`sum-log_binary64_5284` `flip3-+_binary64_5196` `flip-+_binary64_5167` `+-commutative_binary64_5123`

Counts

4 → 54

Calls

4 calls:

4.0ms	(*.f64 x (cos.f64 y))
4.0ms	(*.f64 z (sin.f64 y))
4.0ms	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
1.0ms	(sin.f64 y)

Compiler

Compiled 822 to 199 computations (75.8% saved)

series624.0ms (8.4%)

Error

0.1b

Counts

4 → 38

Calls

4 calls:

353.0ms	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
114.0ms	(*.f64 z (sin.f64 y))
114.0ms	(*.f64 x (cos.f64 y))
15.0ms	(sin.f64 y)

Compiler

Compiled 948 to 606 computations (36.1% saved)

simplify166.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

411×	`cancel-sign-sub-inv_binary64_5159`
242×	`distribute-rgt-neg-in_binary64_5151`
218×	`times-frac_binary64_5199`
210×	`*-commutative_binary64_5124`
199×	`distribute-rgt-in_binary64_5143`
194×	`distribute-lft-neg-in_binary64_5150`
178×	`distribute-lft-in_binary64_5142`
147×	`associate-+l+_binary64_5126`
141×	`associate-+r+_binary64_5125`
132×	`sub-neg_binary64_5186` `associate-/r*_binary64_5137`
130×	`associate-r_binary64_5133`
129×	`associate-l_binary64_5134`
109×	`associate-/r/_binary64_5139` `associate-/l*_binary64_5138`
107×	`associate-+l-_binary64_5128`
87×	`sqr-pow_binary64_5165`
80×	`distribute-rgt-out_binary64_5146`
76×	`unswap-sqr_binary64_5161`
75×	`+-commutative_binary64_5123`
66×	`log-prod_binary64_5279`
65×	`associate-+r-_binary64_5127`
64×	`neg-mul-1_binary64_5189` `neg-sub0_binary64_5188`
63×	`exp-prod_binary64_5245`
56×	`associate--l-_binary64_5131`
52×	`distribute-neg-frac_binary64_5157`
50×	`distribute-rgt-out--_binary64_5147`
49×	`associate-*r/_binary64_5135`
48×	`pow-sqr_binary64_5166`
46×	`log-div_binary64_5280`
45×	`cube-div_binary64_5222` `distribute-lft-out_binary64_5144`
44×	`associate--l+_binary64_5130`
43×	`associate-*l/_binary64_5136`
35×	`distribute-lft-out--_binary64_5145`
28×	`distribute-lft-neg-out_binary64_5152` `associate-/l/_binary64_5140`
27×	`exp-sqrt_binary64_5246`
26×	`unpow3_binary64_5259` `associate--r+_binary64_5129`
22×	`cube-prod_binary64_5221` `*-rgt-identity_binary64_5183`
21×	`cube-mult_binary64_5223`
20×	`unsub-neg_binary64_5187`
19×	`exp-lft-sqr_binary64_5248`
18×	`*-lft-identity_binary64_5182`
15×	`+-rgt-identity_binary64_5178` `swap-sqr_binary64_5160`
13×	`sub0-neg_binary64_5180`
12×	`pow-plus_binary64_5256` `distribute-neg-in_binary64_5154`
9×	`exp-sum_binary64_5239`
6×	`log-pow_binary64_5282` `exp-diff_binary64_5241` `distribute-rgt1-in_binary64_5149`
3×	`pow-base-1_binary64_5253` `cancel-sign-sub_binary64_5158` `associate--r-_binary64_5132`
2×	`prod-exp_binary64_5242` `cube-unmult_binary64_5230` `difference-of-squares_binary64_5162` `distribute-rgt-neg-out_binary64_5153` `count-2_binary64_5141`
1×	`log-rec_binary64_5281` `unpow2_binary64_5258` `unpow1_binary64_5251` `1-exp_binary64_5237` `exp-1-e_binary64_5236` `rem-log-exp_binary64_5234` `rem-exp-log_binary64_5233` `*-inverses_binary64_5173` `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` `pow-base-0_binary64_5277` `unpow1/3_binary64_5260` `unpow1/2_binary64_5257` `exp-to-pow_binary64_5255` `unpow0_binary64_5252` `unpow-1_binary64_5250` `exp-lft-cube_binary64_5249` `exp-cbrt_binary64_5247` `div-exp_binary64_5244` `rec-exp_binary64_5243` `exp-neg_binary64_5240` `e-exp-1_binary64_5238` `exp-0_binary64_5235` `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` `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_5172` `lft-mult-inverse_binary64_5171` `remove-double-div_binary64_5169` `difference-of-sqr--1_binary64_5164` `difference-of-sqr-1_binary64_5163` `distribute-frac-neg_binary64_5156` `distribute-neg-out_binary64_5155` `distribute-lft1-in_binary64_5148`

Counts

92 → 82

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	114	1019
1	290	983
2	887	968
3	1843	965
4	4700	965

prune102.0ms (1.4%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	74	8	82
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	74	9	83

Error

0.0b

Counts

83 → 9

Compiler

Compiled 1832 to 541 computations (70.5% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.4b	(.f64 (cbrt.f64 (sin.f64 y)) (.f64 z (cbrt.f64 (sin.f64 y))))
0.6b	(cbrt.f64 (sin.f64 y))
0.6b	(cbrt.f64 (sin.f64 y))
0.6b	(cbrt.f64 (sin.f64 y))

rewrite76.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

12×	`cbrt-prod_binary64_5224`
9×	`pow1_binary64_5254` `add-exp-log_binary64_5231` `add-cube-cbrt_binary64_5228` `add-sqr-sqrt_binary64_5215` `*-un-lft-identity_binary64_5193`
6×	`add-cbrt-cube_binary64_5229` `associate-l_binary64_5134`
4×	`add-log-exp_binary64_5232`
3×	`pow1/3_binary64_5275` `pow-prod-down_binary64_5264` `prod-exp_binary64_5242` `cbrt-unprod_binary64_5226`
1×	`associate-r_binary64_5133` `*-commutative_binary64_5124`

Counts

4 → 54

Calls

4 calls:

7.0ms	(.f64 (cbrt.f64 (sin.f64 y)) (.f64 z (cbrt.f64 (sin.f64 y))))
1.0ms	(cbrt.f64 (sin.f64 y))
1.0ms	(cbrt.f64 (sin.f64 y))
1.0ms	(cbrt.f64 (sin.f64 y))

Compiler

Compiled 1262 to 245 computations (80.6% saved)

series745.0ms (10%)

Error

0.0b

Counts

4 → 18

Calls

4 calls:

389.0ms	(.f64 (cbrt.f64 (sin.f64 y)) (.f64 z (cbrt.f64 (sin.f64 y))))
122.0ms	(cbrt.f64 (sin.f64 y))
108.0ms	(cbrt.f64 (sin.f64 y))
103.0ms	(cbrt.f64 (sin.f64 y))

Compiler

Compiled 1021 to 644 computations (36.9% saved)

simplify287.0ms (3.9%)

Algorithm

1×	egg-herbie

Rules

766×	`times-frac_binary64_5199`
444×	`associate-l_binary64_5134`
332×	`associate-+l+_binary64_5126`
316×	`*-commutative_binary64_5124`
303×	`unswap-sqr_binary64_5161`
301×	`associate-/l*_binary64_5138`
271×	`distribute-rgt-in_binary64_5143`
254×	`distribute-lft-in_binary64_5142`
238×	`associate-r_binary64_5133`
211×	`associate-/l/_binary64_5140`
180×	`associate-*l/_binary64_5136`
172×	`sqr-pow_binary64_5165`
157×	`associate-/r/_binary64_5139`
147×	`associate-/r*_binary64_5137`
134×	`associate-*r/_binary64_5135`
103×	`log-prod_binary64_5279`
86×	`pow-sqr_binary64_5166`
74×	`distribute-rgt-out_binary64_5146`
70×	`exp-prod_binary64_5245`
53×	`cube-prod_binary64_5221`
32×	`pow-plus_binary64_5256`
31×	`distribute-lft-out_binary64_5144`
30×	`distribute-rgt-neg-in_binary64_5151`
27×	`cube-unmult_binary64_5230`
23×	`swap-sqr_binary64_5160` `distribute-lft-neg-in_binary64_5150`
22×	`log-pow_binary64_5282`
20×	`associate-+r+_binary64_5125`
18×	`distribute-rgt1-in_binary64_5149`
17×	`cancel-sign-sub-inv_binary64_5159` `count-2_binary64_5141`
13×	`neg-mul-1_binary64_5189` `neg-sub0_binary64_5188`
9×	`sub-neg_binary64_5186` `/-rgt-identity_binary64_5184` `+-commutative_binary64_5123`
8×	`unpow3_binary64_5259` `distribute-lft1-in_binary64_5148`
7×	`distribute-lft-neg-out_binary64_5152`
6×	`cube-mult_binary64_5223` `rem-sqrt-square_binary64_5206` `distribute-neg-in_binary64_5154`
5×	`unpow1/3_binary64_5260`
4×	`unsub-neg_binary64_5187`
3×	`associate--r+_binary64_5129` `associate-+l-_binary64_5128` `associate-+r-_binary64_5127`
2×	`unpow2_binary64_5258` `unpow1_binary64_5251` `+-rgt-identity_binary64_5178` `mul0-rgt_binary64_5176` `mul0-lft_binary64_5175`
1×	`div-exp_binary64_5244` `rec-exp_binary64_5243` `prod-exp_binary64_5242` `1-exp_binary64_5237` `rem-3cbrt-lft_binary64_5218` `rem-cbrt-cube_binary64_5217` `-rgt-identity_binary64_5183` `-lft-identity_binary64_5182` `sub0-neg_binary64_5180` `*-inverses_binary64_5173` `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` `log-div_binary64_5280` `pow-base-0_binary64_5277` `unpow1/2_binary64_5257` `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` `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-div_binary64_5222` `cube-neg_binary64_5220` `rem-3cbrt-rft_binary64_5219` `rem-cube-cbrt_binary64_5216` `sqr-abs_binary64_5208` `sqr-neg_binary64_5207` `rem-square-sqrt_binary64_5205` `div-sub_binary64_5198` `mul-1-neg_binary64_5185` `remove-double-neg_binary64_5181` `--rgt-identity_binary64_5179` `+-lft-identity_binary64_5177` `div0_binary64_5174` `+-inverses_binary64_5172` `lft-mult-inverse_binary64_5171` `remove-double-div_binary64_5169` `difference-of-sqr--1_binary64_5164` `difference-of-sqr-1_binary64_5163` `difference-of-squares_binary64_5162` `cancel-sign-sub_binary64_5158` `distribute-neg-frac_binary64_5157` `distribute-frac-neg_binary64_5156` `distribute-neg-out_binary64_5155` `distribute-rgt-neg-out_binary64_5153` `distribute-rgt-out--_binary64_5147` `distribute-lft-out--_binary64_5145` `associate--r-_binary64_5132` `associate--l-_binary64_5131` `associate--l+_binary64_5130`

Counts

72 → 112

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	58	858
1	129	711
2	361	711
3	1156	699
4	2211	699

prune156.0ms (2.1%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	109	3	112
Fresh	2	5	7
Picked	1	0	1
Done	1	0	1
Total	113	8	121

Error

0.0b

Counts

121 → 8

Compiler

Compiled 3160 to 1078 computations (65.9% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 z) (cbrt.f64 z))
0.5b	(cbrt.f64 z)
0.5b	(cbrt.f64 z)
0.5b	(cbrt.f64 z)

rewrite87.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

25×	`cbrt-prod_binary64_5224`
23×	`add-sqr-sqrt_binary64_5215`
15×	`add-cube-cbrt_binary64_5228` `*-un-lft-identity_binary64_5193`
11×	`pow1_binary64_5254`
9×	`pow1/3_binary64_5275`
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` `unswap-sqr_binary64_5161`
2×	`pow-prod-down_binary64_5264` `pow-prod-up_binary64_5263` `pow-sqr_binary64_5166`
1×	`pow2_binary64_5274` `pow-plus_binary64_5256` `prod-exp_binary64_5242` `cbrt-unprod_binary64_5226` `*-commutative_binary64_5124`

Counts

4 → 73

Calls

4 calls:

7.0ms	(*.f64 (cbrt.f64 z) (cbrt.f64 z))
1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)

Compiler

Compiled 1524 to 318 computations (79.1% saved)

series491.0ms (6.6%)

Error

0.0b

Counts

4 → 12

Calls

4 calls:

132.0ms	(*.f64 (cbrt.f64 z) (cbrt.f64 z))
121.0ms	(cbrt.f64 z)
119.0ms	(cbrt.f64 z)
108.0ms	(cbrt.f64 z)

Compiler

Compiled 663 to 450 computations (32.1% saved)

simplify327.0ms (4.4%)

Algorithm

1×	egg-herbie

Rules

545×	`log-prod_binary64_5279`
427×	`log-div_binary64_5280`
416×	`associate-/l*_binary64_5138`
347×	`associate-l_binary64_5134`
293×	`associate-/r*_binary64_5137`
231×	`associate-r_binary64_5133`
203×	`*-commutative_binary64_5124`
184×	`associate-/r/_binary64_5139`
150×	`distribute-rgt-neg-in_binary64_5151`
144×	`distribute-lft-neg-in_binary64_5150`
140×	`exp-prod_binary64_5245`
128×	`distribute-rgt-in_binary64_5143`
123×	`unswap-sqr_binary64_5161`
112×	`cube-prod_binary64_5221`
95×	`distribute-lft-in_binary64_5142`
86×	`swap-sqr_binary64_5160`
80×	`associate-/l/_binary64_5140`
77×	`sqr-pow_binary64_5165`
55×	`log-pow_binary64_5282` `distribute-rgt-out_binary64_5146`
52×	`times-frac_binary64_5199`
47×	`cancel-sign-sub-inv_binary64_5159`
42×	`associate-+l+_binary64_5126`
39×	`associate-+r+_binary64_5125`
38×	`associate-*l/_binary64_5136`
37×	`pow-sqr_binary64_5166`
30×	`distribute-lft-out_binary64_5144`
29×	`cube-div_binary64_5222`
28×	`distribute-neg-frac_binary64_5157`
24×	`log-rec_binary64_5281` `*-rgt-identity_binary64_5183`
23×	`*-lft-identity_binary64_5182`
22×	`pow-plus_binary64_5256`
21×	`associate-*r/_binary64_5135`
19×	`exp-sqrt_binary64_5246`
18×	`rem-sqrt-square_binary64_5206`
15×	`cube-unmult_binary64_5230`
13×	`neg-mul-1_binary64_5189` `neg-sub0_binary64_5188`
12×	`associate-+l-_binary64_5128`
9×	`exp-lft-sqr_binary64_5248` `distribute-rgt-neg-out_binary64_5153` `distribute-lft-neg-out_binary64_5152`
8×	`distribute-rgt1-in_binary64_5149` `count-2_binary64_5141`
6×	`unpow3_binary64_5259` `associate--l-_binary64_5131` `associate--l+_binary64_5130`
5×	`associate-+r-_binary64_5127` `+-commutative_binary64_5123`
4×	`div-exp_binary64_5244` `prod-exp_binary64_5242` `distribute-rgt-out--_binary64_5147`
3×	`unpow1/3_binary64_5260` `unpow2_binary64_5258` `sub-neg_binary64_5186` `distribute-lft-out--_binary64_5145`
2×	`unpow1_binary64_5251` `rec-exp_binary64_5243` `exp-sum_binary64_5239` `cube-mult_binary64_5223` `rem-3cbrt-lft_binary64_5218` `rem-cbrt-cube_binary64_5217` `/-rgt-identity_binary64_5184` `distribute-lft1-in_binary64_5148`
1×	`pow-base-1_binary64_5253` `exp-diff_binary64_5241` `1-exp_binary64_5237` `exp-1-e_binary64_5236` `rem-log-exp_binary64_5234` `rem-3cbrt-rft_binary64_5219` `rem-square-sqrt_binary64_5205` `mul-1-neg_binary64_5185` `mul0-lft_binary64_5175` `*-inverses_binary64_5173` `distribute-neg-out_binary64_5155`
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` `unpow1/2_binary64_5257` `exp-to-pow_binary64_5255` `unpow0_binary64_5252` `unpow-1_binary64_5250` `exp-lft-cube_binary64_5249` `exp-cbrt_binary64_5247` `exp-neg_binary64_5240` `e-exp-1_binary64_5238` `exp-0_binary64_5235` `rem-exp-log_binary64_5233` `cube-neg_binary64_5220` `rem-cube-cbrt_binary64_5216` `sqr-abs_binary64_5208` `sqr-neg_binary64_5207` `div-sub_binary64_5198` `unsub-neg_binary64_5187` `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` `div0_binary64_5174` `+-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` `difference-of-squares_binary64_5162` `cancel-sign-sub_binary64_5158` `distribute-frac-neg_binary64_5156` `distribute-neg-in_binary64_5154` `associate--r-_binary64_5132` `associate--r+_binary64_5129`

Counts

85 → 83

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	55	718
1	97	656
2	345	636
3	1343	633
4	4059	633

prune93.0ms (1.2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	83	0	83
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	83	8	91

Error

0.0b

Counts

91 → 8

Compiler

Compiled 1907 to 485 computations (74.6% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.4b	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
0.7b	(cbrt.f64 x)
0.7b	(cbrt.f64 x)
0.7b	(cbrt.f64 x)

rewrite89.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

25×	`cbrt-prod_binary64_5224`
23×	`add-sqr-sqrt_binary64_5215`
15×	`add-cube-cbrt_binary64_5228` `*-un-lft-identity_binary64_5193`
11×	`pow1_binary64_5254`
9×	`pow1/3_binary64_5275`
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` `unswap-sqr_binary64_5161`
2×	`pow-prod-down_binary64_5264` `pow-prod-up_binary64_5263` `pow-sqr_binary64_5166`
1×	`pow2_binary64_5274` `pow-plus_binary64_5256` `prod-exp_binary64_5242` `cbrt-unprod_binary64_5226` `*-commutative_binary64_5124`

Counts

4 → 73

Calls

4 calls:

7.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

Compiler

Compiled 1524 to 318 computations (79.1% saved)

series492.0ms (6.6%)

Error

0.0b

Counts

4 → 12

Calls

4 calls:

143.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
114.0ms	(cbrt.f64 x)
111.0ms	(cbrt.f64 x)
109.0ms	(cbrt.f64 x)

Compiler

Compiled 663 to 450 computations (32.1% saved)

simplify327.0ms (4.4%)

Algorithm

1×	egg-herbie

Rules

545×	`log-prod_binary64_5279`
427×	`log-div_binary64_5280`
416×	`associate-/l*_binary64_5138`
347×	`associate-l_binary64_5134`
293×	`associate-/r*_binary64_5137`
231×	`associate-r_binary64_5133`
203×	`*-commutative_binary64_5124`
184×	`associate-/r/_binary64_5139`
150×	`distribute-rgt-neg-in_binary64_5151`
144×	`distribute-lft-neg-in_binary64_5150`
140×	`exp-prod_binary64_5245`
128×	`distribute-rgt-in_binary64_5143`
123×	`unswap-sqr_binary64_5161`
112×	`cube-prod_binary64_5221`
95×	`distribute-lft-in_binary64_5142`
86×	`swap-sqr_binary64_5160`
80×	`associate-/l/_binary64_5140`
77×	`sqr-pow_binary64_5165`
55×	`log-pow_binary64_5282` `distribute-rgt-out_binary64_5146`
52×	`times-frac_binary64_5199`
47×	`cancel-sign-sub-inv_binary64_5159`
42×	`associate-+l+_binary64_5126`
39×	`associate-+r+_binary64_5125`
38×	`associate-*l/_binary64_5136`
37×	`pow-sqr_binary64_5166`
30×	`distribute-lft-out_binary64_5144`
29×	`cube-div_binary64_5222`
28×	`distribute-neg-frac_binary64_5157`
24×	`log-rec_binary64_5281` `*-rgt-identity_binary64_5183`
23×	`*-lft-identity_binary64_5182`
22×	`pow-plus_binary64_5256`
21×	`associate-*r/_binary64_5135`
19×	`exp-sqrt_binary64_5246`
18×	`rem-sqrt-square_binary64_5206`
15×	`cube-unmult_binary64_5230`
13×	`neg-mul-1_binary64_5189` `neg-sub0_binary64_5188`
12×	`associate-+l-_binary64_5128`
9×	`exp-lft-sqr_binary64_5248` `distribute-rgt-neg-out_binary64_5153` `distribute-lft-neg-out_binary64_5152`
8×	`distribute-rgt1-in_binary64_5149` `count-2_binary64_5141`
6×	`unpow3_binary64_5259` `associate--l-_binary64_5131` `associate--l+_binary64_5130`
5×	`associate-+r-_binary64_5127` `+-commutative_binary64_5123`
4×	`div-exp_binary64_5244` `prod-exp_binary64_5242` `distribute-rgt-out--_binary64_5147`
3×	`unpow1/3_binary64_5260` `unpow2_binary64_5258` `sub-neg_binary64_5186` `distribute-lft-out--_binary64_5145`
2×	`unpow1_binary64_5251` `rec-exp_binary64_5243` `exp-sum_binary64_5239` `cube-mult_binary64_5223` `rem-3cbrt-lft_binary64_5218` `rem-cbrt-cube_binary64_5217` `/-rgt-identity_binary64_5184` `distribute-lft1-in_binary64_5148`
1×	`pow-base-1_binary64_5253` `exp-diff_binary64_5241` `1-exp_binary64_5237` `exp-1-e_binary64_5236` `rem-log-exp_binary64_5234` `rem-3cbrt-rft_binary64_5219` `rem-square-sqrt_binary64_5205` `mul-1-neg_binary64_5185` `mul0-lft_binary64_5175` `*-inverses_binary64_5173` `distribute-neg-out_binary64_5155`
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` `unpow1/2_binary64_5257` `exp-to-pow_binary64_5255` `unpow0_binary64_5252` `unpow-1_binary64_5250` `exp-lft-cube_binary64_5249` `exp-cbrt_binary64_5247` `exp-neg_binary64_5240` `e-exp-1_binary64_5238` `exp-0_binary64_5235` `rem-exp-log_binary64_5233` `cube-neg_binary64_5220` `rem-cube-cbrt_binary64_5216` `sqr-abs_binary64_5208` `sqr-neg_binary64_5207` `div-sub_binary64_5198` `unsub-neg_binary64_5187` `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` `div0_binary64_5174` `+-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` `difference-of-squares_binary64_5162` `cancel-sign-sub_binary64_5158` `distribute-frac-neg_binary64_5156` `distribute-neg-in_binary64_5154` `associate--r-_binary64_5132` `associate--r+_binary64_5129`

Counts

85 → 83

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	55	718
1	97	656
2	345	636
3	1343	633
4	4059	633

prune86.0ms (1.2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	81	2	83
Fresh	1	5	6
Picked	1	0	1
Done	0	1	1
Total	83	8	91

Error

0.0b

Counts

91 → 8

Compiler

Compiled 1745 to 386 computations (77.9% saved)

regimes407.0ms (5.5%)

Accuracy

Total 0.1b remaining (82.8%)

Threshold costs 0.1b (82.8%)

Compiler

Compiled 3740 to 2498 computations (33.2% saved)

bsearch0.0ms (0%)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64_5124`
1×	`+-commutative_binary64_5123`
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` `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` `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	9	14
1	12	14

Proof

(+ f64 (* f64 h0 (cos f64 h1)) (* f64 h2 (sin f64 h1)))

end0.0ms (0%)

sample2.3s (30.9%)

Algorithm

1×

intervals

Results

558.0ms	2027×	body	1024	valid
312.0ms	4454×	body	128	valid
194.0ms	1022×	body	512	valid
64.0ms	491×	body	256	valid
3.0ms	6×	body	2048	valid

Compiler

Compiled 948 to 636 computations (32.9% saved)

Details

analyze260.0ms (3.5%)

sample47.0ms (0.6%)

simplify156.0ms (2.1%)

prune2.0ms (0%)

localize13.0ms (0.2%)

rewrite71.0ms (1%)

series624.0ms (8.4%)

simplify166.0ms (2.2%)

prune102.0ms (1.4%)

localize15.0ms (0.2%)

rewrite76.0ms (1%)

series745.0ms (10%)

simplify287.0ms (3.9%)

prune156.0ms (2.1%)

localize12.0ms (0.2%)

rewrite87.0ms (1.2%)

series491.0ms (6.6%)

simplify327.0ms (4.4%)

prune93.0ms (1.2%)

localize11.0ms (0.2%)

rewrite89.0ms (1.2%)

series492.0ms (6.6%)

simplify327.0ms (4.4%)

prune86.0ms (1.2%)

regimes407.0ms (5.5%)

bsearch0.0ms (0%)

simplify5.0ms (0.1%)

end0.0ms (0%)

sample2.3s (30.9%)

Profiling