Details

analyze280.0ms (3.9%)

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
31.2%	68.6%	0.1%	6
43.7%	56.2%	0.1%	7
59.3%	40.6%	0.1%	8
59.3%	40.6%	0.1%	9
68.6%	31.2%	0.1%	10
78%	21.8%	0.1%	11
78%	21.8%	0.1%	12
83.5%	16.4%	0.1%	13
88.5%	11.3%	0.1%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample41.0ms (0.6%)

Algorithm

1×

intervals

Results

12.0ms	44×	body	1024	valid
11.0ms	177×	body	128	valid
5.0ms	28×	body	512	valid
1.0ms	7×	body	256	valid

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify826.0ms (11.5%)

Algorithm

1×	egg-herbie

Rules

514×	`exp-prod_binary64_5245`
474×	`swap-sqr_binary64_5160`
346×	`distribute-rgt-neg-in_binary64_5151`
305×	`exp-sum_binary64_5239`
300×	`distribute-rgt-in_binary64_5143`
294×	`*-commutative_binary64_5124`
252×	`neg-mul-1_binary64_5189`
246×	`neg-sub0_binary64_5188`
225×	`unsub-neg_binary64_5187`
175×	`sub-neg_binary64_5186`
174×	`pow-plus_binary64_5256`
172×	`cancel-sign-sub-inv_binary64_5159` `associate-+l+_binary64_5126`
166×	`distribute-rgt-out_binary64_5146`
160×	`distribute-lft-in_binary64_5142` `associate-r_binary64_5133`
157×	`associate--r+_binary64_5129`
154×	`distribute-rgt1-in_binary64_5149`
136×	`distribute-lft-neg-in_binary64_5150`
128×	`distribute-rgt-out--_binary64_5147`
125×	`associate-+r+_binary64_5125`
115×	`associate--l+_binary64_5130`
104×	`associate-+l-_binary64_5128`
95×	`associate-l_binary64_5134`
94×	`exp-diff_binary64_5241`
81×	`+-commutative_binary64_5123`
64×	`associate-+r-_binary64_5127`
60×	`distribute-lft-out_binary64_5144`
56×	`distribute-lft-out--_binary64_5145`
47×	`associate--r-_binary64_5132`
33×	`associate--l-_binary64_5131`
31×	`distribute-neg-in_binary64_5154`
28×	`distribute-lft-neg-out_binary64_5152`
25×	`sqr-neg_binary64_5207`
18×	`distribute-rgt-neg-out_binary64_5153`
17×	`exp-lft-sqr_binary64_5248`
14×	`distribute-lft1-in_binary64_5148`
12×	`exp-neg_binary64_5240`
11×	`+-inverses_binary64_5172` `count-2_binary64_5141`
9×	`sub0-neg_binary64_5180`
7×	`cube-prod_binary64_5221` `remove-double-neg_binary64_5181`
6×	`cube-unmult_binary64_5230` `+-rgt-identity_binary64_5178` `+-lft-identity_binary64_5177`
5×	`distribute-neg-out_binary64_5155`
4×	`div-sub_binary64_5198` `--rgt-identity_binary64_5179` `mul0-lft_binary64_5175`
2×	`cube-neg_binary64_5220` `mul0-rgt_binary64_5176` `difference-of-squares_binary64_5162` `unswap-sqr_binary64_5161`
1×	`sub-1-sin_binary64_5293` `-1-add-sin_binary64_5291` `1-sub-sin_binary64_5289` `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-cos_binary64_5292` `-1-add-cos_binary64_5290` `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` `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-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` `rem-exp-log_binary64_5233` `cube-mult_binary64_5223` `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` `times-frac_binary64_5199` `mul-1-neg_binary64_5185` `/-rgt-identity_binary64_5184` `-rgt-identity_binary64_5183` `-lft-identity_binary64_5182` `div0_binary64_5174` `-inverses_binary64_5173` `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` `cancel-sign-sub_binary64_5158` `distribute-neg-frac_binary64_5157` `distribute-frac-neg_binary64_5156` `associate-/l/_binary64_5140` `associate-/r/_binary64_5139` `associate-/l_binary64_5138` `associate-/r_binary64_5137` `associate-l/_binary64_5136` `associate-*r/_binary64_5135`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	14
1	18	14
2	34	14
3	54	14
4	81	14
5	123	14
6	266	14
7	1196	14
8	3751	14

prune7.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.1b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize8.0ms (0.1%)

Local error

Found 3 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))

rewrite49.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

8×	`add-log-exp_binary64_5232`
7×	`add-sqr-sqrt_binary64_5215`
5×	`pow1_binary64_5254` `add-exp-log_binary64_5231` `add-cbrt-cube_binary64_5229` `add-cube-cbrt_binary64_5228` `*-un-lft-identity_binary64_5193`
3×	`associate-l_binary64_5134` `associate-r_binary64_5133`
2×	`diff-log_binary64_5285`
1×	`pow-prod-down_binary64_5264` `prod-exp_binary64_5242` `cbrt-unprod_binary64_5226` `unswap-sqr_binary64_5161` `*-commutative_binary64_5124` `sum-log_binary64_5284` `flip3--_binary64_5197` `sub-neg_binary64_5186` `flip--_binary64_5168` `cancel-sign-sub-inv_binary64_5159` `associate--l+_binary64_5130`

Counts

3 → 39

Calls

3 calls:

6.0ms	(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
4.0ms	(*.f64 z (sin.f64 y))
1.0ms	(sin.f64 y)

Compiler

Compiled 600 to 144 computations (76% saved)

series628.0ms (8.7%)

Error

0.1b

Counts

3 → 29

Calls

3 calls:

306.0ms	(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
288.0ms	(*.f64 z (sin.f64 y))
14.0ms	(sin.f64 y)

Compiler

Compiled 679 to 447 computations (34.2% saved)

simplify123.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

869×	`associate-*l/_binary64_5136`
308×	`cancel-sign-sub-inv_binary64_5159`
297×	`associate-l_binary64_5134`
227×	`associate-r_binary64_5133`
216×	`distribute-rgt-neg-in_binary64_5151`
211×	`distribute-rgt-in_binary64_5143`
209×	`distribute-lft-in_binary64_5142`
186×	`distribute-lft-neg-in_binary64_5150`
120×	`times-frac_binary64_5199`
115×	`sub-neg_binary64_5186`
95×	`associate-+l+_binary64_5126`
87×	`distribute-lft-neg-out_binary64_5152`
83×	`*-commutative_binary64_5124`
79×	`associate-/r*_binary64_5137`
74×	`distribute-rgt-neg-out_binary64_5153`
70×	`associate-+r+_binary64_5125`
65×	`associate-/l*_binary64_5138`
60×	`sqr-pow_binary64_5165`
57×	`associate-/r/_binary64_5139`
55×	`unsub-neg_binary64_5187` `unswap-sqr_binary64_5161` `+-commutative_binary64_5123`
49×	`neg-sub0_binary64_5188`
47×	`associate--l+_binary64_5130`
44×	`distribute-rgt-out_binary64_5146`
43×	`neg-mul-1_binary64_5189`
38×	`exp-prod_binary64_5245`
30×	`pow-sqr_binary64_5166` `distribute-neg-frac_binary64_5157`
29×	`exp-sum_binary64_5239`
28×	`*-rgt-identity_binary64_5183`
27×	`*-lft-identity_binary64_5182`
25×	`associate-*r/_binary64_5135`
24×	`distribute-lft-out_binary64_5144`
21×	`difference-of-squares_binary64_5162` `associate-+l-_binary64_5128`
20×	`associate-+r-_binary64_5127`
18×	`distribute-rgt-out--_binary64_5147`
17×	`associate-/l/_binary64_5140`
16×	`distribute-lft-out--_binary64_5145`
15×	`log-prod_binary64_5279` `exp-sqrt_binary64_5246`
14×	`cube-prod_binary64_5221` `swap-sqr_binary64_5160` `distribute-neg-in_binary64_5154`
13×	`+-rgt-identity_binary64_5178`
12×	`cube-div_binary64_5222` `associate--r+_binary64_5129`
11×	`exp-diff_binary64_5241`
10×	`sub0-neg_binary64_5180`
9×	`log-div_binary64_5280`
7×	`unpow3_binary64_5259` `pow-plus_binary64_5256` `mul0-rgt_binary64_5176` `mul0-lft_binary64_5175`
6×	`distribute-rgt1-in_binary64_5149`
5×	`div-exp_binary64_5244` `cube-unmult_binary64_5230` `cube-mult_binary64_5223`
3×	`mul-1-neg_binary64_5185`
2×	`pow-base-1_binary64_5253` `prod-exp_binary64_5242` `cancel-sign-sub_binary64_5158` `count-2_binary64_5141`
1×	`log-pow_binary64_5282` `unpow2_binary64_5258` `unpow1_binary64_5251` `exp-lft-sqr_binary64_5248` `1-exp_binary64_5237` `exp-1-e_binary64_5236` `rem-log-exp_binary64_5234` `sqr-neg_binary64_5207` `*-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` `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` `rec-exp_binary64_5243` `exp-neg_binary64_5240` `e-exp-1_binary64_5238` `exp-0_binary64_5235` `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` `rem-sqrt-square_binary64_5206` `rem-square-sqrt_binary64_5205` `div-sub_binary64_5198` `/-rgt-identity_binary64_5184` `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` `distribute-frac-neg_binary64_5156` `distribute-neg-out_binary64_5155` `distribute-lft1-in_binary64_5148` `associate--r-_binary64_5132` `associate--l-_binary64_5131`

Counts

68 → 69

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	87	805
1	210	769
2	702	760
3	2334	760

prune73.0ms (1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	65	4	69
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	65	5	70

Error

0.0b

Counts

70 → 5

Compiler

Compiled 1414 to 311 computations (78% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 z) (cbrt.f64 z))
0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 z)

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:

6.0ms	(*.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)

series484.0ms (6.7%)

Error

0.0b

Counts

4 → 12

Calls

4 calls:

140.0ms	(*.f64 (cbrt.f64 z) (cbrt.f64 z))
114.0ms	(cbrt.f64 z)
110.0ms	(cbrt.f64 z)
108.0ms	(cbrt.f64 z)

Compiler

Compiled 663 to 450 computations (32.1% saved)

simplify329.0ms (4.6%)

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

prune88.0ms (1.2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	83	0	83
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	83	5	88

Error

0.0b

Counts

88 → 5

Compiler

Compiled 1805 to 421 computations (76.7% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(.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))

rewrite77.0ms (1.1%)

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:

8.0ms	(.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)

series644.0ms (9%)

Error

0.0b

Counts

4 → 15

Calls

4 calls:

365.0ms	(.f64 (cbrt.f64 (sin.f64 y)) (.f64 z (cbrt.f64 (sin.f64 y))))
91.0ms	(cbrt.f64 (sin.f64 y))
86.0ms	(cbrt.f64 (sin.f64 y))
86.0ms	(cbrt.f64 (sin.f64 y))

Compiler

Compiled 841 to 527 computations (37.3% saved)

simplify284.0ms (4%)

Algorithm

1×	egg-herbie

Rules

691×	`times-frac_binary64_5199`
440×	`associate-l_binary64_5134`
332×	`associate-+l+_binary64_5126`
299×	`unswap-sqr_binary64_5161`
290×	`*-commutative_binary64_5124`
270×	`associate-/l*_binary64_5138`
264×	`distribute-rgt-in_binary64_5143`
260×	`associate-+r+_binary64_5125`
248×	`distribute-lft-in_binary64_5142`
223×	`associate-r_binary64_5133`
183×	`associate-/l/_binary64_5140`
166×	`associate-*l/_binary64_5136`
154×	`sqr-pow_binary64_5165`
143×	`associate-/r/_binary64_5139`
132×	`associate-/r*_binary64_5137`
128×	`associate-*r/_binary64_5135`
103×	`log-prod_binary64_5279`
74×	`pow-sqr_binary64_5166` `distribute-rgt-out_binary64_5146`
70×	`exp-prod_binary64_5245`
53×	`cube-prod_binary64_5221`
31×	`distribute-lft-out_binary64_5144`
30×	`pow-plus_binary64_5256`
23×	`cube-unmult_binary64_5230` `swap-sqr_binary64_5160`
22×	`log-pow_binary64_5282`
18×	`distribute-rgt1-in_binary64_5149`
17×	`count-2_binary64_5141`
8×	`unpow3_binary64_5259` `distribute-lft1-in_binary64_5148`
6×	`cube-mult_binary64_5223` `rem-sqrt-square_binary64_5206` `+-commutative_binary64_5123`
5×	`/-rgt-identity_binary64_5184`
4×	`unpow1/3_binary64_5260`
2×	`unpow2_binary64_5258` `unpow1_binary64_5251`
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` `-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` `neg-mul-1_binary64_5189` `neg-sub0_binary64_5188` `unsub-neg_binary64_5187` `sub-neg_binary64_5186` `mul-1-neg_binary64_5185` `*-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_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-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-rgt-out--_binary64_5147` `distribute-lft-out--_binary64_5145` `associate--r-_binary64_5132` `associate--l-_binary64_5131` `associate--l+_binary64_5130` `associate--r+_binary64_5129` `associate-+l-_binary64_5128` `associate-+r-_binary64_5127`

Counts

69 → 112

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	52	816
1	111	669
2	320	669
3	1055	657
4	2009	657

prune149.0ms (2.1%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	109	3	112
Fresh	1	1	2
Picked	0	1	1
Done	0	2	2
Total	110	7	117

Error

0.0b

Counts

117 → 7

Compiler

Compiled 3100 to 1021 computations (67.1% saved)

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite83.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

30×	`cbrt-prod_binary64_5224`
11×	`add-cube-cbrt_binary64_5228` `add-sqr-sqrt_binary64_5215` `*-un-lft-identity_binary64_5193`
4×	`pow1/3_binary64_5275` `pow1_binary64_5254` `add-log-exp_binary64_5232` `add-exp-log_binary64_5231` `add-cbrt-cube_binary64_5229`

Counts

4 → 53

Calls

4 calls:

2.0ms	(cbrt.f64 (cbrt.f64 (sin.f64 y)))
2.0ms	(cbrt.f64 (cbrt.f64 (sin.f64 y)))
2.0ms	(cbrt.f64 (cbrt.f64 (sin.f64 y)))
1.0ms	(cbrt.f64 (sin.f64 y))

Compiler

Compiled 1843 to 283 computations (84.6% saved)

series402.0ms (5.6%)

Error

0.0b

Counts

4 → 12

Calls

4 calls:

108.0ms	(cbrt.f64 (sin.f64 y))
103.0ms	(cbrt.f64 (cbrt.f64 (sin.f64 y)))
88.0ms	(cbrt.f64 (cbrt.f64 (sin.f64 y)))
86.0ms	(cbrt.f64 (cbrt.f64 (sin.f64 y)))

Compiler

Compiled 1073 to 490 computations (54.3% saved)

simplify136.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

816×	`unswap-sqr_binary64_5161`
779×	`distribute-rgt-in_binary64_5143`
771×	`distribute-lft-in_binary64_5142`
350×	`log-prod_binary64_5279`
269×	`associate-l_binary64_5134`
153×	`associate-r_binary64_5133`
96×	`sqr-pow_binary64_5165`
76×	`distribute-rgt-out_binary64_5146`
58×	`pow-sqr_binary64_5166`
35×	`distribute-lft-out_binary64_5144`
27×	`log-pow_binary64_5282`
23×	`exp-prod_binary64_5245`
19×	`*-commutative_binary64_5124`
17×	`cube-unmult_binary64_5230`
16×	`pow-plus_binary64_5256`
15×	`cube-prod_binary64_5221`
9×	`associate-/l*_binary64_5138`
8×	`distribute-rgt1-in_binary64_5149` `associate-/l/_binary64_5140`
7×	`rem-sqrt-square_binary64_5206`
5×	`associate-*r/_binary64_5135`
4×	`times-frac_binary64_5199` `count-2_binary64_5141`
3×	`associate-*l/_binary64_5136`
2×	`unpow1/3_binary64_5260` `unpow3_binary64_5259` `rem-3cbrt-lft_binary64_5218` `swap-sqr_binary64_5160` `associate-+l+_binary64_5126` `associate-+r+_binary64_5125`
1×	`1-exp_binary64_5237` `rem-cbrt-cube_binary64_5217` `*-inverses_binary64_5173` `+-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-rec_binary64_5281` `log-div_binary64_5280` `pow-base-0_binary64_5277` `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` `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-mult_binary64_5223` `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` `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_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-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-lft1-in_binary64_5148` `distribute-rgt-out--_binary64_5147` `distribute-lft-out--_binary64_5145` `associate-/r/_binary64_5139` `associate-/r*_binary64_5137` `associate--r-_binary64_5132` `associate--l-_binary64_5131` `associate--l+_binary64_5130` `associate--r+_binary64_5129` `associate-+l-_binary64_5128` `associate-+r-_binary64_5127`

Counts

65 → 19

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	33	706
1	49	706
2	112	706
3	282	666
4	998	666

prune31.0ms (0.4%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	19	0	19
Fresh	0	3	3
Picked	0	1	1
Done	0	3	3
Total	19	7	26

Error

0.0b

Counts

26 → 7

Compiler

Compiled 675 to 117 computations (82.7% saved)

regimes334.0ms (4.6%)

Accuracy

Total 0.0b remaining (83.5%)

Threshold costs 0.0b (83.5%)

Compiler

Compiled 3032 to 2086 computations (31.2% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	14
1	16	14
2	26	14
3	32	14
4	36	14
5	37	14

Proof

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

end0.0ms (0%)

sample2.0s (27.6%)

Algorithm

1×

intervals

Results

373.0ms	5702×	body	128	valid
349.0ms	1317×	body	1024	valid
136.0ms	661×	body	512	valid
41.0ms	315×	body	256	valid
2.0ms	5×	body	2048	valid

Compiler

Compiled 771 to 533 computations (30.9% saved)

Details

analyze280.0ms (3.9%)

sample41.0ms (0.6%)

simplify826.0ms (11.5%)

prune7.0ms (0.1%)

localize8.0ms (0.1%)

rewrite49.0ms (0.7%)

series628.0ms (8.7%)

simplify123.0ms (1.7%)

prune73.0ms (1%)

localize11.0ms (0.2%)

rewrite89.0ms (1.2%)

series484.0ms (6.7%)

simplify329.0ms (4.6%)

prune88.0ms (1.2%)

localize12.0ms (0.2%)

rewrite77.0ms (1.1%)

series644.0ms (9%)

simplify284.0ms (4%)

prune149.0ms (2.1%)

localize17.0ms (0.2%)

rewrite83.0ms (1.2%)

series402.0ms (5.6%)

simplify136.0ms (1.9%)

prune31.0ms (0.4%)

regimes334.0ms (4.6%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample2.0s (27.6%)

Profiling