Details

analyze2.3s (25.1%)

Algorithm

1×	search
2×	egg-herbie

Rules

489×	`neg-mul-1_binary64_5189`
432×	`+-commutative_binary64_5123`
427×	`cancel-sign-sub_binary64_5158`
414×	`associate-+l+_binary64_5126`
395×	`associate-+r+_binary64_5125`
365×	`cancel-sign-sub-inv_binary64_5159`
358×	`sub-neg_binary64_5186`
352×	`distribute-lft-out--_binary64_5145`
337×	`neg-sub0_binary64_5188`
329×	`distribute-lft-neg-in_binary64_5150`
314×	`associate-+l-_binary64_5128`
266×	`distribute-neg-in_binary64_5154`
244×	`unsub-neg_binary64_5187`
206×	`remove-double-neg_binary64_5181`
205×	`distribute-rgt-neg-in_binary64_5151`
197×	`associate-+r-_binary64_5127`
187×	`distribute-lft-neg-out_binary64_5152`
178×	`distribute-rgt-neg-out_binary64_5153`
174×	`associate--l+_binary64_5130`
172×	`div-sub_binary64_5198`
152×	`associate--r+_binary64_5129`
116×	`*-commutative_binary64_5124`
108×	`sub0-neg_binary64_5180`
106×	`associate-/l*_binary64_5138`
95×	`associate--r-_binary64_5132`
88×	`distribute-frac-neg_binary64_5156`
84×	`distribute-neg-frac_binary64_5157`
76×	`+-rgt-identity_binary64_5178`
74×	`distribute-rgt-in_binary64_5143`
56×	`associate-/r/_binary64_5139`
53×	`--rgt-identity_binary64_5179`
46×	`associate-r_binary64_5133`
44×	`distribute-lft-in_binary64_5142`
38×	`associate--l-_binary64_5131`
34×	`associate-l_binary64_5134`
33×	`associate-*l/_binary64_5136`
21×	`div0_binary64_5174`
19×	`distribute-neg-out_binary64_5155`
14×	`mul0-rgt_binary64_5176` `mul0-lft_binary64_5175`
4×	`distribute-rgt-out_binary64_5146`
1×	`1-exp_binary64_5237` `swap-x-y` `swap-z-t` `swap-a-b`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_5456` `erf-erfc_binary64_5455` `erf-odd_binary64_5454` `if-if-and-not_binary64_5453` `if-if-and_binary64_5452` `if-if-or-not_binary64_5451` `if-if-or_binary64_5450` `if-not_binary64_5449` `if-same_binary64_5448` `if-false_binary64_5447` `if-true_binary64_5446` `not-gte_binary64_5445` `not-lte_binary64_5444` `not-gt_binary64_5443` `not-lt_binary64_5442` `gte-same_binary64_5441` `lte-same_binary64_5440` `gt-same_binary64_5439` `lt-same_binary64_5438` `sinh---cosh_binary64_5385` `sinh-+-cosh_binary64_5384` `sinh-cosh_binary64_5383` `tanh-def-c_binary64_5382` `tanh-def-b_binary64_5381` `tanh-def-a_binary64_5380` `cosh-def_binary64_5379` `sinh-def_binary64_5378` `tan-neg_binary64_5325` `cos-neg_binary64_5324` `sin-neg_binary64_5323` `tan-0_binary64_5322` `cos-0_binary64_5321` `sin-0_binary64_5320` `hang-m-tan_binary64_5319` `hang-p-tan_binary64_5318` `hang-m0-tan_binary64_5317` `hang-p0-tan_binary64_5316` `hang-0m-tan_binary64_5315` `hang-0p-tan_binary64_5314` `tan-+PI/2_binary64_5313` `tan-+PI_binary64_5312` `tan-PI_binary64_5311` `tan-PI/3_binary64_5310` `tan-PI/4_binary64_5309` `tan-PI/6_binary64_5308` `cos-+PI/2_binary64_5307` `cos-+PI_binary64_5306` `cos-PI_binary64_5305` `cos-PI/2_binary64_5304` `cos-PI/3_binary64_5303` `cos-PI/4_binary64_5302` `cos-PI/6_binary64_5301` `sin-+PI/2_binary64_5300` `sin-+PI_binary64_5299` `sin-PI_binary64_5298` `sin-PI/2_binary64_5297` `sin-PI/3_binary64_5296` `sin-PI/4_binary64_5295` `sin-PI/6_binary64_5294` `sub-1-sin_binary64_5293` `sub-1-cos_binary64_5292` `-1-add-sin_binary64_5291` `-1-add-cos_binary64_5290` `1-sub-sin_binary64_5289` `1-sub-cos_binary64_5288` `cos-sin-sum_binary64_5287` `log-E_binary64_5283` `log-pow_binary64_5282` `log-rec_binary64_5281` `log-div_binary64_5280` `log-prod_binary64_5279` `pow-base-0_binary64_5277` `unpow1/3_binary64_5260` `unpow3_binary64_5259` `unpow2_binary64_5258` `unpow1/2_binary64_5257` `pow-plus_binary64_5256` `exp-to-pow_binary64_5255` `pow-base-1_binary64_5253` `unpow0_binary64_5252` `unpow1_binary64_5251` `unpow-1_binary64_5250` `exp-lft-cube_binary64_5249` `exp-lft-sqr_binary64_5248` `exp-cbrt_binary64_5247` `exp-sqrt_binary64_5246` `exp-prod_binary64_5245` `div-exp_binary64_5244` `rec-exp_binary64_5243` `prod-exp_binary64_5242` `exp-diff_binary64_5241` `exp-neg_binary64_5240` `exp-sum_binary64_5239` `e-exp-1_binary64_5238` `exp-1-e_binary64_5236` `exp-0_binary64_5235` `rem-log-exp_binary64_5234` `rem-exp-log_binary64_5233` `cube-unmult_binary64_5230` `cube-mult_binary64_5223` `cube-div_binary64_5222` `cube-prod_binary64_5221` `cube-neg_binary64_5220` `rem-3cbrt-rft_binary64_5219` `rem-3cbrt-lft_binary64_5218` `rem-cbrt-cube_binary64_5217` `rem-cube-cbrt_binary64_5216` `sqr-abs_binary64_5208` `sqr-neg_binary64_5207` `rem-sqrt-square_binary64_5206` `rem-square-sqrt_binary64_5205` `times-frac_binary64_5199` `mul-1-neg_binary64_5185` `/-rgt-identity_binary64_5184` `-rgt-identity_binary64_5183` `-lft-identity_binary64_5182` `+-lft-identity_binary64_5177` `-inverses_binary64_5173` `+-inverses_binary64_5172` `lft-mult-inverse_binary64_5171` `rgt-mult-inverse_binary64_5170` `remove-double-div_binary64_5169` `pow-sqr_binary64_5166` `sqr-pow_binary64_5165` `difference-of-sqr--1_binary64_5164` `difference-of-sqr-1_binary64_5163` `difference-of-squares_binary64_5162` `unswap-sqr_binary64_5161` `swap-sqr_binary64_5160` `distribute-rgt1-in_binary64_5149` `distribute-lft1-in_binary64_5148` `distribute-rgt-out--_binary64_5147` `distribute-lft-out_binary64_5144` `count-2_binary64_5141` `associate-/l/_binary64_5140` `associate-/r_binary64_5137` `associate-*r/_binary64_5135`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	127	550
1	303	550
2	841	550
3	1682	550
4	3422	550
5	4220	550
6	4296	550
7	5256	550
0	7	7
1	7	7

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	99.7%	0.3%	8
0%	99.7%	0.3%	9
0%	99.7%	0.3%	10
0%	99.7%	0.3%	11
0%	99.7%	0.3%	12
1.2%	98.5%	0.3%	13
1.8%	97.9%	0.3%	14

Symmetry

(sort x y)

(sort z t)

(sort a b)

Compiler

Compiled 18 to 18 computations (0% saved)

sample69.0ms (0.7%)

Algorithm

1×

intervals

Results

13.0ms	256×	body	128	valid
6.0ms	121×	body	128	invalid

Compiler

Compiled 35 to 42 computations (-20% saved)

simplify72.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

258×	`cancel-sign-sub-inv_binary64_5159`
149×	`sub-neg_binary64_5186`
148×	`distribute-rgt-in_binary64_5143`
133×	`unsub-neg_binary64_5187`
120×	`associate--r+_binary64_5129`
93×	`distribute-rgt-neg-in_binary64_5151`
91×	`associate-/l*_binary64_5138`
81×	`distribute-neg-in_binary64_5154`
80×	`associate--l+_binary64_5130`
55×	`neg-mul-1_binary64_5189` `associate--r-_binary64_5132`
52×	`distribute-lft-neg-in_binary64_5150`
51×	`associate-+l-_binary64_5128`
49×	`distribute-lft-neg-out_binary64_5152`
48×	`neg-sub0_binary64_5188`
46×	`*-commutative_binary64_5124`
45×	`associate-+r+_binary64_5125`
43×	`distribute-neg-frac_binary64_5157`
41×	`+-commutative_binary64_5123`
40×	`div-sub_binary64_5198`
36×	`associate-/r*_binary64_5137`
35×	`associate-l_binary64_5134`
33×	`distribute-lft-in_binary64_5142` `associate-r_binary64_5133`
32×	`cancel-sign-sub_binary64_5158` `associate-+l+_binary64_5126`
27×	`associate--l-_binary64_5131`
26×	`distribute-rgt-neg-out_binary64_5153`
23×	`associate-*l/_binary64_5136`
20×	`mul0-rgt_binary64_5176`
19×	`sub0-neg_binary64_5180` `associate-/r/_binary64_5139`
17×	`*-rgt-identity_binary64_5183` `remove-double-neg_binary64_5181` `associate-+r-_binary64_5127`
16×	`mul0-lft_binary64_5175` `associate-*r/_binary64_5135`
15×	`*-lft-identity_binary64_5182` `associate-/l/_binary64_5140`
11×	`+-lft-identity_binary64_5177`
8×	`div0_binary64_5174`
6×	`--rgt-identity_binary64_5179` `+-rgt-identity_binary64_5178`
3×	`distribute-neg-out_binary64_5155` `distribute-lft-out--_binary64_5145`
2×	`/-rgt-identity_binary64_5184`
1×	`1-exp_binary64_5237`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_5456` `erf-erfc_binary64_5455` `erf-odd_binary64_5454` `if-if-and-not_binary64_5453` `if-if-and_binary64_5452` `if-if-or-not_binary64_5451` `if-if-or_binary64_5450` `if-not_binary64_5449` `if-same_binary64_5448` `if-false_binary64_5447` `if-true_binary64_5446` `not-gte_binary64_5445` `not-lte_binary64_5444` `not-gt_binary64_5443` `not-lt_binary64_5442` `gte-same_binary64_5441` `lte-same_binary64_5440` `gt-same_binary64_5439` `lt-same_binary64_5438` `sinh---cosh_binary64_5385` `sinh-+-cosh_binary64_5384` `sinh-cosh_binary64_5383` `tanh-def-c_binary64_5382` `tanh-def-b_binary64_5381` `tanh-def-a_binary64_5380` `cosh-def_binary64_5379` `sinh-def_binary64_5378` `tan-neg_binary64_5325` `cos-neg_binary64_5324` `sin-neg_binary64_5323` `tan-0_binary64_5322` `cos-0_binary64_5321` `sin-0_binary64_5320` `hang-m-tan_binary64_5319` `hang-p-tan_binary64_5318` `hang-m0-tan_binary64_5317` `hang-p0-tan_binary64_5316` `hang-0m-tan_binary64_5315` `hang-0p-tan_binary64_5314` `tan-+PI/2_binary64_5313` `tan-+PI_binary64_5312` `tan-PI_binary64_5311` `tan-PI/3_binary64_5310` `tan-PI/4_binary64_5309` `tan-PI/6_binary64_5308` `cos-+PI/2_binary64_5307` `cos-+PI_binary64_5306` `cos-PI_binary64_5305` `cos-PI/2_binary64_5304` `cos-PI/3_binary64_5303` `cos-PI/4_binary64_5302` `cos-PI/6_binary64_5301` `sin-+PI/2_binary64_5300` `sin-+PI_binary64_5299` `sin-PI_binary64_5298` `sin-PI/2_binary64_5297` `sin-PI/3_binary64_5296` `sin-PI/4_binary64_5295` `sin-PI/6_binary64_5294` `sub-1-sin_binary64_5293` `sub-1-cos_binary64_5292` `-1-add-sin_binary64_5291` `-1-add-cos_binary64_5290` `1-sub-sin_binary64_5289` `1-sub-cos_binary64_5288` `cos-sin-sum_binary64_5287` `log-E_binary64_5283` `log-pow_binary64_5282` `log-rec_binary64_5281` `log-div_binary64_5280` `log-prod_binary64_5279` `pow-base-0_binary64_5277` `unpow1/3_binary64_5260` `unpow3_binary64_5259` `unpow2_binary64_5258` `unpow1/2_binary64_5257` `pow-plus_binary64_5256` `exp-to-pow_binary64_5255` `pow-base-1_binary64_5253` `unpow0_binary64_5252` `unpow1_binary64_5251` `unpow-1_binary64_5250` `exp-lft-cube_binary64_5249` `exp-lft-sqr_binary64_5248` `exp-cbrt_binary64_5247` `exp-sqrt_binary64_5246` `exp-prod_binary64_5245` `div-exp_binary64_5244` `rec-exp_binary64_5243` `prod-exp_binary64_5242` `exp-diff_binary64_5241` `exp-neg_binary64_5240` `exp-sum_binary64_5239` `e-exp-1_binary64_5238` `exp-1-e_binary64_5236` `exp-0_binary64_5235` `rem-log-exp_binary64_5234` `rem-exp-log_binary64_5233` `cube-unmult_binary64_5230` `cube-mult_binary64_5223` `cube-div_binary64_5222` `cube-prod_binary64_5221` `cube-neg_binary64_5220` `rem-3cbrt-rft_binary64_5219` `rem-3cbrt-lft_binary64_5218` `rem-cbrt-cube_binary64_5217` `rem-cube-cbrt_binary64_5216` `sqr-abs_binary64_5208` `sqr-neg_binary64_5207` `rem-sqrt-square_binary64_5206` `rem-square-sqrt_binary64_5205` `times-frac_binary64_5199` `mul-1-neg_binary64_5185` `*-inverses_binary64_5173` `+-inverses_binary64_5172` `lft-mult-inverse_binary64_5171` `rgt-mult-inverse_binary64_5170` `remove-double-div_binary64_5169` `pow-sqr_binary64_5166` `sqr-pow_binary64_5165` `difference-of-sqr--1_binary64_5164` `difference-of-sqr-1_binary64_5163` `difference-of-squares_binary64_5162` `unswap-sqr_binary64_5161` `swap-sqr_binary64_5160` `distribute-frac-neg_binary64_5156` `distribute-rgt1-in_binary64_5149` `distribute-lft1-in_binary64_5148` `distribute-rgt-out--_binary64_5147` `distribute-rgt-out_binary64_5146` `distribute-lft-out_binary64_5144` `count-2_binary64_5141`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	25
1	33	25
2	73	25
3	138	25
4	266	25
5	499	25
6	678	25
7	867	25
8	1013	25
9	1033	25
10	1043	25
11	1044	25
12	1044	25
13	1044	25
14	937	25

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.0b

Counts

1 → 1

Compiler

Compiled 17 to 17 computations (0% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) (/.f64 (*.f64 a b) 4)) c)
0.0b	(/.f64 (*.f64 a b) 4)
0.0b	(-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) (/.f64 (*.f64 a b) 4))
0.0b	(+.f64 (.f64 x y) (/.f64 (.f64 z t) 16))

rewrite157.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

20×	`add-log-exp_binary64_5232`
17×	`*-un-lft-identity_binary64_5193`
14×	`cancel-sign-sub-inv_binary64_5159`
12×	`add-sqr-sqrt_binary64_5215`
10×	`add-cube-cbrt_binary64_5228`
9×	`add-exp-log_binary64_5231` `add-cbrt-cube_binary64_5229` `times-frac_binary64_5199` `associate-+l+_binary64_5126`
6×	`sum-log_binary64_5284`
4×	`pow1_binary64_5254` `diff-log_binary64_5285`
3×	`flip3-+_binary64_5196` `flip-+_binary64_5167` `div-inv_binary64_5190` `associate-/r*_binary64_5137`
2×	`+-commutative_binary64_5123` `frac-sub_binary64_5202` `sub-neg_binary64_5186` `distribute-lft-out--_binary64_5145` `associate--l+_binary64_5130` `div-exp_binary64_5244` `cbrt-undiv_binary64_5227` `distribute-lft-out_binary64_5144`
1×	`flip3--_binary64_5197` `flip--_binary64_5168` `difference-of-squares_binary64_5162` `prod-exp_binary64_5242` `cbrt-unprod_binary64_5226` `frac-2neg_binary64_5204` `clear-num_binary64_5192` `associate-/l*_binary64_5138` `associate-+l-_binary64_5128`

Counts

4 → 81

Calls

4 calls:

18.0ms	(-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) (/.f64 (*.f64 a b) 4))
15.0ms	(+.f64 (-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) (/.f64 (*.f64 a b) 4)) c)
6.0ms	(+.f64 (.f64 x y) (/.f64 (.f64 z t) 16))
5.0ms	(/.f64 (*.f64 a b) 4)

Compiler

Compiled 2222 to 1067 computations (52% saved)

series1.9s (19.9%)

Error

0.0b

Counts

4 → 108

Calls

4 calls:

791.0ms	(+.f64 (-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) (/.f64 (*.f64 a b) 4)) c)
637.0ms	(-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) (/.f64 (*.f64 a b) 4))
261.0ms	(+.f64 (.f64 x y) (/.f64 (.f64 z t) 16))
83.0ms	(/.f64 (*.f64 a b) 4)

Compiler

Compiled 3765 to 3107 computations (17.5% saved)

simplify128.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

440×	`distribute-rgt-in_binary64_5143`
413×	`distribute-lft-in_binary64_5142`
378×	`associate-*l/_binary64_5136`
370×	`associate-/l*_binary64_5138`
130×	`cancel-sign-sub-inv_binary64_5159`
125×	`associate-/l/_binary64_5140`
123×	`distribute-rgt-neg-in_binary64_5151`
102×	`distribute-lft-neg-in_binary64_5150`
99×	`associate-/r/_binary64_5139`
95×	`exp-prod_binary64_5245`
93×	`distribute-neg-frac_binary64_5157`
84×	`sub-neg_binary64_5186`
76×	`*-commutative_binary64_5124`
73×	`associate-l_binary64_5134`
65×	`associate-r/_binary64_5135` `associate-r*_binary64_5133`
61×	`times-frac_binary64_5199`
59×	`+-commutative_binary64_5123`
57×	`associate-/r*_binary64_5137`
56×	`neg-mul-1_binary64_5189`
55×	`neg-sub0_binary64_5188`
51×	`log-div_binary64_5280`
46×	`log-prod_binary64_5279`
43×	`distribute-lft-neg-out_binary64_5152`
37×	`sqr-pow_binary64_5165`
33×	`distribute-neg-in_binary64_5154`
25×	`associate--l+_binary64_5130`
24×	`unpow3_binary64_5259`
22×	`associate-+l+_binary64_5126`
20×	`unsub-neg_binary64_5187` `distribute-rgt-neg-out_binary64_5153`
18×	`exp-sum_binary64_5239` `cube-div_binary64_5222`
14×	`cube-mult_binary64_5223` `distribute-rgt-out_binary64_5146`
12×	`cube-prod_binary64_5221` `swap-sqr_binary64_5160`
11×	`associate-+r+_binary64_5125`
10×	`div-sub_binary64_5198`
9×	`distribute-rgt-out--_binary64_5147`
8×	`associate-+r-_binary64_5127`
7×	`div-exp_binary64_5244` `prod-exp_binary64_5242` `exp-diff_binary64_5241`
6×	`exp-sqrt_binary64_5246` `*-rgt-identity_binary64_5183` `distribute-lft-out_binary64_5144` `associate-+l-_binary64_5128`
5×	`difference-of-squares_binary64_5162`
4×	`cube-unmult_binary64_5230` `+-rgt-identity_binary64_5178` `unswap-sqr_binary64_5161` `associate--r+_binary64_5129`
3×	`log-rec_binary64_5281`
2×	`/-rgt-identity_binary64_5184` `remove-double-neg_binary64_5181` `distribute-frac-neg_binary64_5156` `distribute-lft-out--_binary64_5145`
1×	`log-pow_binary64_5282` `1-exp_binary64_5237` `rem-3cbrt-lft_binary64_5218` `rem-sqrt-square_binary64_5206` `rem-square-sqrt_binary64_5205` `*-lft-identity_binary64_5182` `div0_binary64_5174` `pow-sqr_binary64_5166` `distribute-neg-out_binary64_5155` `associate--r-_binary64_5132` `associate--l-_binary64_5131`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_5456` `erf-erfc_binary64_5455` `erf-odd_binary64_5454` `if-if-and-not_binary64_5453` `if-if-and_binary64_5452` `if-if-or-not_binary64_5451` `if-if-or_binary64_5450` `if-not_binary64_5449` `if-same_binary64_5448` `if-false_binary64_5447` `if-true_binary64_5446` `not-gte_binary64_5445` `not-lte_binary64_5444` `not-gt_binary64_5443` `not-lt_binary64_5442` `gte-same_binary64_5441` `lte-same_binary64_5440` `gt-same_binary64_5439` `lt-same_binary64_5438` `sinh---cosh_binary64_5385` `sinh-+-cosh_binary64_5384` `sinh-cosh_binary64_5383` `tanh-def-c_binary64_5382` `tanh-def-b_binary64_5381` `tanh-def-a_binary64_5380` `cosh-def_binary64_5379` `sinh-def_binary64_5378` `tan-neg_binary64_5325` `cos-neg_binary64_5324` `sin-neg_binary64_5323` `tan-0_binary64_5322` `cos-0_binary64_5321` `sin-0_binary64_5320` `hang-m-tan_binary64_5319` `hang-p-tan_binary64_5318` `hang-m0-tan_binary64_5317` `hang-p0-tan_binary64_5316` `hang-0m-tan_binary64_5315` `hang-0p-tan_binary64_5314` `tan-+PI/2_binary64_5313` `tan-+PI_binary64_5312` `tan-PI_binary64_5311` `tan-PI/3_binary64_5310` `tan-PI/4_binary64_5309` `tan-PI/6_binary64_5308` `cos-+PI/2_binary64_5307` `cos-+PI_binary64_5306` `cos-PI_binary64_5305` `cos-PI/2_binary64_5304` `cos-PI/3_binary64_5303` `cos-PI/4_binary64_5302` `cos-PI/6_binary64_5301` `sin-+PI/2_binary64_5300` `sin-+PI_binary64_5299` `sin-PI_binary64_5298` `sin-PI/2_binary64_5297` `sin-PI/3_binary64_5296` `sin-PI/4_binary64_5295` `sin-PI/6_binary64_5294` `sub-1-sin_binary64_5293` `sub-1-cos_binary64_5292` `-1-add-sin_binary64_5291` `-1-add-cos_binary64_5290` `1-sub-sin_binary64_5289` `1-sub-cos_binary64_5288` `cos-sin-sum_binary64_5287` `log-E_binary64_5283` `pow-base-0_binary64_5277` `unpow1/3_binary64_5260` `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` `rec-exp_binary64_5243` `exp-neg_binary64_5240` `e-exp-1_binary64_5238` `exp-1-e_binary64_5236` `exp-0_binary64_5235` `rem-log-exp_binary64_5234` `rem-exp-log_binary64_5233` `cube-neg_binary64_5220` `rem-3cbrt-rft_binary64_5219` `rem-cbrt-cube_binary64_5217` `rem-cube-cbrt_binary64_5216` `sqr-abs_binary64_5208` `sqr-neg_binary64_5207` `mul-1-neg_binary64_5185` `sub0-neg_binary64_5180` `--rgt-identity_binary64_5179` `+-lft-identity_binary64_5177` `mul0-rgt_binary64_5176` `mul0-lft_binary64_5175` `*-inverses_binary64_5173` `+-inverses_binary64_5172` `lft-mult-inverse_binary64_5171` `rgt-mult-inverse_binary64_5170` `remove-double-div_binary64_5169` `difference-of-sqr--1_binary64_5164` `difference-of-sqr-1_binary64_5163` `cancel-sign-sub_binary64_5158` `distribute-rgt1-in_binary64_5149` `distribute-lft1-in_binary64_5148` `count-2_binary64_5141`

Counts

189 → 133

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	175	3409
1	472	3342
2	1428	3291
3	4812	3291
4	5014	3291

prune140.0ms (1.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	132	1	133
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	132	2	134

Error

Counts

134 → 2

Compiler

Compiled 2695 to 1205 computations (55.3% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (cbrt.f64 (pow.f64 (+.f64 (.f64 x y) (/.f64 (.f64 t z) 16)) 3)) (/.f64 (*.f64 a b) 4))
0.0b	(+.f64 (.f64 x y) (/.f64 (.f64 t z) 16))
0.3b	(pow.f64 (+.f64 (.f64 x y) (/.f64 (.f64 t z) 16)) 3)
34.3b	(cbrt.f64 (pow.f64 (+.f64 (.f64 x y) (/.f64 (.f64 t z) 16)) 3))

rewrite190.0ms (2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

21×	`add-sqr-sqrt_binary64_5215`
16×	`cbrt-prod_binary64_5224`
14×	`*-un-lft-identity_binary64_5193`
12×	`add-cube-cbrt_binary64_5228`
8×	`add-log-exp_binary64_5232`
7×	`unpow-prod-down_binary64_5272` `cube-prod_binary64_5221` `cancel-sign-sub-inv_binary64_5159`
6×	`cube-div_binary64_5222`
5×	`pow1_binary64_5254` `add-exp-log_binary64_5231` `add-cbrt-cube_binary64_5229` `difference-of-squares_binary64_5162`
4×	`flip3-+_binary64_5196` `cbrt-div_binary64_5225` `flip-+_binary64_5167`
3×	`sqr-pow_binary64_5165` `pow-unpow_binary64_5270` `times-frac_binary64_5199`
2×	`unpow3_binary64_5259` `cube-mult_binary64_5223` `frac-sub_binary64_5202`
1×	`pow1/3_binary64_5275` `rem-cbrt-cube_binary64_5217` `pow-pow_binary64_5265` `pow-to-exp_binary64_5262` `pow-exp_binary64_5261` `rem-cube-cbrt_binary64_5216` `sum-log_binary64_5284` `+-commutative_binary64_5123` `diff-log_binary64_5285` `flip3--_binary64_5197` `sub-neg_binary64_5186` `flip--_binary64_5168` `div-inv_binary64_5190` `distribute-lft-out--_binary64_5145`

Counts

4 → 85

Calls

4 calls:

21.0ms	(-.f64 (cbrt.f64 (pow.f64 (+.f64 (.f64 x y) (/.f64 (.f64 t z) 16)) 3)) (/.f64 (*.f64 a b) 4))
7.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 x y) (/.f64 (.f64 t z) 16)) 3))
7.0ms	(pow.f64 (+.f64 (.f64 x y) (/.f64 (.f64 t z) 16)) 3)
6.0ms	(+.f64 (.f64 x y) (/.f64 (.f64 t z) 16))

Compiler

Compiled 2946 to 1561 computations (47% saved)

series1.7s (18%)

Error

Counts

4 → 120

Calls

4 calls:

640.0ms	(-.f64 (cbrt.f64 (pow.f64 (+.f64 (.f64 x y) (/.f64 (.f64 t z) 16)) 3)) (/.f64 (*.f64 a b) 4))
354.0ms	(pow.f64 (+.f64 (.f64 x y) (/.f64 (.f64 t z) 16)) 3)
283.0ms	(+.f64 (.f64 x y) (/.f64 (.f64 t z) 16))
278.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 x y) (/.f64 (.f64 t z) 16)) 3))

Compiler

Compiled 5806 to 4751 computations (18.2% saved)

simplify195.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

394×	`distribute-rgt-in_binary64_5143`
381×	`unswap-sqr_binary64_5161`
371×	`distribute-lft-in_binary64_5142`
151×	`log-prod_binary64_5279`
141×	`associate-r_binary64_5133`
130×	`associate-l_binary64_5134`
96×	`exp-prod_binary64_5245`
90×	`sqr-pow_binary64_5165`
87×	`distribute-rgt-neg-in_binary64_5151`
85×	`*-commutative_binary64_5124`
79×	`cancel-sign-sub-inv_binary64_5159`
71×	`distribute-lft-neg-in_binary64_5150`
64×	`unpow3_binary64_5259`
56×	`distribute-neg-frac_binary64_5157`
54×	`associate-/r/_binary64_5139`
52×	`distribute-rgt-out_binary64_5146`
48×	`sub-neg_binary64_5186`
47×	`cube-prod_binary64_5221`
45×	`neg-mul-1_binary64_5189` `neg-sub0_binary64_5188` `associate-*r/_binary64_5135`
44×	`associate-*l/_binary64_5136`
41×	`distribute-lft-neg-out_binary64_5152`
40×	`swap-sqr_binary64_5160`
39×	`associate-/l/_binary64_5140`
37×	`+-commutative_binary64_5123`
30×	`log-pow_binary64_5282` `distribute-lft-out_binary64_5144`
24×	`associate-+l+_binary64_5126`
22×	`cube-mult_binary64_5223`
20×	`distribute-rgt-neg-out_binary64_5153` `associate-/l*_binary64_5138`
16×	`exp-sum_binary64_5239` `difference-of-squares_binary64_5162`
15×	`distribute-neg-in_binary64_5154` `associate-+r+_binary64_5125`
12×	`cube-div_binary64_5222` `times-frac_binary64_5199` `pow-sqr_binary64_5166`
10×	`rem-sqrt-square_binary64_5206`
9×	`div-sub_binary64_5198`
8×	`pow-plus_binary64_5256` `rem-cbrt-cube_binary64_5217` `unsub-neg_binary64_5187` `associate--l+_binary64_5130`
7×	`cube-unmult_binary64_5230` `distribute-rgt-out--_binary64_5147`
5×	`unpow1/2_binary64_5257` `unpow1_binary64_5251` `associate-+r-_binary64_5127`
4×	`unpow2_binary64_5258` `+-rgt-identity_binary64_5178` `distribute-frac-neg_binary64_5156`
3×	`div-exp_binary64_5244` `*-rgt-identity_binary64_5183` `count-2_binary64_5141`
2×	`exp-diff_binary64_5241` `rem-3cbrt-lft_binary64_5218` `rem-square-sqrt_binary64_5205` `distribute-lft-out--_binary64_5145` `associate-/r*_binary64_5137`
1×	`prod-exp_binary64_5242` `1-exp_binary64_5237` `rem-cube-cbrt_binary64_5216` `/-rgt-identity_binary64_5184` `remove-double-neg_binary64_5181` `div0_binary64_5174` `associate-+l-_binary64_5128`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_5456` `erf-erfc_binary64_5455` `erf-odd_binary64_5454` `if-if-and-not_binary64_5453` `if-if-and_binary64_5452` `if-if-or-not_binary64_5451` `if-if-or_binary64_5450` `if-not_binary64_5449` `if-same_binary64_5448` `if-false_binary64_5447` `if-true_binary64_5446` `not-gte_binary64_5445` `not-lte_binary64_5444` `not-gt_binary64_5443` `not-lt_binary64_5442` `gte-same_binary64_5441` `lte-same_binary64_5440` `gt-same_binary64_5439` `lt-same_binary64_5438` `sinh---cosh_binary64_5385` `sinh-+-cosh_binary64_5384` `sinh-cosh_binary64_5383` `tanh-def-c_binary64_5382` `tanh-def-b_binary64_5381` `tanh-def-a_binary64_5380` `cosh-def_binary64_5379` `sinh-def_binary64_5378` `tan-neg_binary64_5325` `cos-neg_binary64_5324` `sin-neg_binary64_5323` `tan-0_binary64_5322` `cos-0_binary64_5321` `sin-0_binary64_5320` `hang-m-tan_binary64_5319` `hang-p-tan_binary64_5318` `hang-m0-tan_binary64_5317` `hang-p0-tan_binary64_5316` `hang-0m-tan_binary64_5315` `hang-0p-tan_binary64_5314` `tan-+PI/2_binary64_5313` `tan-+PI_binary64_5312` `tan-PI_binary64_5311` `tan-PI/3_binary64_5310` `tan-PI/4_binary64_5309` `tan-PI/6_binary64_5308` `cos-+PI/2_binary64_5307` `cos-+PI_binary64_5306` `cos-PI_binary64_5305` `cos-PI/2_binary64_5304` `cos-PI/3_binary64_5303` `cos-PI/4_binary64_5302` `cos-PI/6_binary64_5301` `sin-+PI/2_binary64_5300` `sin-+PI_binary64_5299` `sin-PI_binary64_5298` `sin-PI/2_binary64_5297` `sin-PI/3_binary64_5296` `sin-PI/4_binary64_5295` `sin-PI/6_binary64_5294` `sub-1-sin_binary64_5293` `sub-1-cos_binary64_5292` `-1-add-sin_binary64_5291` `-1-add-cos_binary64_5290` `1-sub-sin_binary64_5289` `1-sub-cos_binary64_5288` `cos-sin-sum_binary64_5287` `log-E_binary64_5283` `log-rec_binary64_5281` `log-div_binary64_5280` `pow-base-0_binary64_5277` `unpow1/3_binary64_5260` `exp-to-pow_binary64_5255` `pow-base-1_binary64_5253` `unpow0_binary64_5252` `unpow-1_binary64_5250` `exp-lft-cube_binary64_5249` `exp-lft-sqr_binary64_5248` `exp-cbrt_binary64_5247` `exp-sqrt_binary64_5246` `rec-exp_binary64_5243` `exp-neg_binary64_5240` `e-exp-1_binary64_5238` `exp-1-e_binary64_5236` `exp-0_binary64_5235` `rem-log-exp_binary64_5234` `rem-exp-log_binary64_5233` `cube-neg_binary64_5220` `rem-3cbrt-rft_binary64_5219` `sqr-abs_binary64_5208` `sqr-neg_binary64_5207` `mul-1-neg_binary64_5185` `-lft-identity_binary64_5182` `sub0-neg_binary64_5180` `--rgt-identity_binary64_5179` `+-lft-identity_binary64_5177` `mul0-rgt_binary64_5176` `mul0-lft_binary64_5175` `-inverses_binary64_5173` `+-inverses_binary64_5172` `lft-mult-inverse_binary64_5171` `rgt-mult-inverse_binary64_5170` `remove-double-div_binary64_5169` `difference-of-sqr--1_binary64_5164` `difference-of-sqr-1_binary64_5163` `cancel-sign-sub_binary64_5158` `distribute-neg-out_binary64_5155` `distribute-rgt1-in_binary64_5149` `distribute-lft1-in_binary64_5148` `associate--r-_binary64_5132` `associate--l-_binary64_5131` `associate--r+_binary64_5129`

Counts

205 → 147

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	185	4626
1	483	4326
2	1630	4287
3	4813	4287
4	4999	4287
5	4956	4287

prune179.0ms (1.9%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	147	0	147
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	147	2	149

Error

Counts

149 → 2

Compiler

Compiled 3741 to 1676 computations (55.2% saved)

regimes606.0ms (6.5%)

Accuracy

Total 0.0b remaining (5.9%)

Threshold costs 0.0b (5.9%)

Compiler

Compiled 4109 to 4926 computations (-19.9% saved)

bsearch0.0ms (0%)

simplify50.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

7×	`*-commutative_binary64_5124` `+-commutative_binary64_5123`
5×	`sub-neg_binary64_5186`
4×	`neg-mul-1_binary64_5189` `neg-sub0_binary64_5188`
2×	`distribute-rgt-neg-in_binary64_5151` `distribute-lft-neg-in_binary64_5150`
1×	`distribute-neg-frac_binary64_5157`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `if-if-and-not_binary64_5453` `if-if-and_binary64_5452` `if-if-or-not_binary64_5451` `if-if-or_binary64_5450` `if-not_binary64_5449` `if-same_binary64_5448` `if-false_binary64_5447` `if-true_binary64_5446` `tan-0_binary64_5322` `cos-0_binary64_5321` `sin-0_binary64_5320` `unpow1_binary64_5251` `e-exp-1_binary64_5238` `1-exp_binary64_5237` `exp-1-e_binary64_5236` `exp-0_binary64_5235` `sqr-abs_binary64_5208` `sqr-neg_binary64_5207` `unsub-neg_binary64_5187` `mul-1-neg_binary64_5185` `/-rgt-identity_binary64_5184` `-rgt-identity_binary64_5183` `-lft-identity_binary64_5182` `remove-double-neg_binary64_5181` `sub0-neg_binary64_5180` `--rgt-identity_binary64_5179` `+-rgt-identity_binary64_5178` `+-lft-identity_binary64_5177` `cancel-sign-sub-inv_binary64_5159` `cancel-sign-sub_binary64_5158` `distribute-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`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	25
1	25	25
2	32	25
3	42	25
4	49	25
5	54	25
6	56	25
7	56	25

Remove

(sort a b)

(sort z t)

(sort x y)

Compiler

Compiled 102 to 102 computations (0% saved)

end0.0ms (0%)

sample1.6s (17.5%)

Algorithm

1×

intervals

Results

437.0ms	8000×	body	128	valid
218.0ms	4131×	body	128	invalid

Compiler

Compiled 300 to 352 computations (-17.3% saved)

Details

analyze2.3s (25.1%)

sample69.0ms (0.7%)

simplify72.0ms (0.8%)

prune2.0ms (0%)

localize12.0ms (0.1%)

rewrite157.0ms (1.7%)

series1.9s (19.9%)

simplify128.0ms (1.4%)

prune140.0ms (1.5%)

localize15.0ms (0.2%)

rewrite190.0ms (2%)

series1.7s (18%)

simplify195.0ms (2.1%)

prune179.0ms (1.9%)

regimes606.0ms (6.5%)

bsearch0.0ms (0%)

simplify50.0ms (0.5%)

end0.0ms (0%)

sample1.6s (17.5%)

Profiling