Details

analyze732.0ms (4.5%)

Algorithm

1×	search
2×	egg-herbie

Rules

760×	`div-sub_binary64_5198`
692×	`sub-neg_binary64_5186`
595×	`neg-mul-1_binary64_5189`
552×	`associate-/r*_binary64_5137`
505×	`neg-sub0_binary64_5188`
447×	`distribute-neg-frac_binary64_5157`
324×	`distribute-frac-neg_binary64_5156`
315×	`distribute-rgt-neg-in_binary64_5151`
302×	`distribute-lft-neg-out_binary64_5152`
238×	`distribute-rgt-neg-out_binary64_5153`
227×	`remove-double-neg_binary64_5181`
226×	`associate-/r/_binary64_5139`
220×	`associate-/l*_binary64_5138`
219×	`unsub-neg_binary64_5187`
209×	`associate-*l/_binary64_5136`
189×	`distribute-rgt-in_binary64_5143`
184×	`cancel-sign-sub-inv_binary64_5159`
144×	`times-frac_binary64_5199`
143×	`cancel-sign-sub_binary64_5158`
119×	`associate-/l/_binary64_5140`
111×	`distribute-lft-neg-in_binary64_5150`
109×	`distribute-neg-in_binary64_5154`
106×	`distribute-lft-in_binary64_5142`
89×	`associate--r-_binary64_5132`
84×	`associate--r+_binary64_5129`
66×	`sub0-neg_binary64_5180`
61×	`+-lft-identity_binary64_5177`
60×	`*-commutative_binary64_5124`
56×	`--rgt-identity_binary64_5179` `+-commutative_binary64_5123`
54×	`/-rgt-identity_binary64_5184`
45×	`associate-r_binary64_5133` `associate-+l-_binary64_5128`
44×	`associate-*r/_binary64_5135`
43×	`*-lft-identity_binary64_5182`
40×	`associate-+l+_binary64_5126`
36×	`div0_binary64_5174`
31×	`+-rgt-identity_binary64_5178`
29×	`associate--l-_binary64_5131` `associate-+r-_binary64_5127`
26×	`associate-l_binary64_5134`
18×	`*-rgt-identity_binary64_5183` `mul0-rgt_binary64_5176` `mul0-lft_binary64_5175`
17×	`associate-+r+_binary64_5125`
6×	`associate--l+_binary64_5130`
3×	`sqr-neg_binary64_5207` `swap-sqr_binary64_5160`
1×	`1-exp_binary64_5237`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_5456` `erf-erfc_binary64_5455` `erf-odd_binary64_5454` `if-if-and-not_binary64_5453` `if-if-and_binary64_5452` `if-if-or-not_binary64_5451` `if-if-or_binary64_5450` `if-not_binary64_5449` `if-same_binary64_5448` `if-false_binary64_5447` `if-true_binary64_5446` `not-gte_binary64_5445` `not-lte_binary64_5444` `not-gt_binary64_5443` `not-lt_binary64_5442` `gte-same_binary64_5441` `lte-same_binary64_5440` `gt-same_binary64_5439` `lt-same_binary64_5438` `sinh---cosh_binary64_5385` `sinh-+-cosh_binary64_5384` `sinh-cosh_binary64_5383` `tanh-def-c_binary64_5382` `tanh-def-b_binary64_5381` `tanh-def-a_binary64_5380` `cosh-def_binary64_5379` `sinh-def_binary64_5378` `tan-neg_binary64_5325` `cos-neg_binary64_5324` `sin-neg_binary64_5323` `tan-0_binary64_5322` `cos-0_binary64_5321` `sin-0_binary64_5320` `hang-m-tan_binary64_5319` `hang-p-tan_binary64_5318` `hang-m0-tan_binary64_5317` `hang-p0-tan_binary64_5316` `hang-0m-tan_binary64_5315` `hang-0p-tan_binary64_5314` `tan-+PI/2_binary64_5313` `tan-+PI_binary64_5312` `tan-PI_binary64_5311` `tan-PI/3_binary64_5310` `tan-PI/4_binary64_5309` `tan-PI/6_binary64_5308` `cos-+PI/2_binary64_5307` `cos-+PI_binary64_5306` `cos-PI_binary64_5305` `cos-PI/2_binary64_5304` `cos-PI/3_binary64_5303` `cos-PI/4_binary64_5302` `cos-PI/6_binary64_5301` `sin-+PI/2_binary64_5300` `sin-+PI_binary64_5299` `sin-PI_binary64_5298` `sin-PI/2_binary64_5297` `sin-PI/3_binary64_5296` `sin-PI/4_binary64_5295` `sin-PI/6_binary64_5294` `sub-1-sin_binary64_5293` `sub-1-cos_binary64_5292` `-1-add-sin_binary64_5291` `-1-add-cos_binary64_5290` `1-sub-sin_binary64_5289` `1-sub-cos_binary64_5288` `cos-sin-sum_binary64_5287` `log-E_binary64_5283` `log-pow_binary64_5282` `log-rec_binary64_5281` `log-div_binary64_5280` `log-prod_binary64_5279` `pow-base-0_binary64_5277` `unpow1/3_binary64_5260` `unpow3_binary64_5259` `unpow2_binary64_5258` `unpow1/2_binary64_5257` `pow-plus_binary64_5256` `exp-to-pow_binary64_5255` `pow-base-1_binary64_5253` `unpow0_binary64_5252` `unpow1_binary64_5251` `unpow-1_binary64_5250` `exp-lft-cube_binary64_5249` `exp-lft-sqr_binary64_5248` `exp-cbrt_binary64_5247` `exp-sqrt_binary64_5246` `exp-prod_binary64_5245` `div-exp_binary64_5244` `rec-exp_binary64_5243` `prod-exp_binary64_5242` `exp-diff_binary64_5241` `exp-neg_binary64_5240` `exp-sum_binary64_5239` `e-exp-1_binary64_5238` `exp-1-e_binary64_5236` `exp-0_binary64_5235` `rem-log-exp_binary64_5234` `rem-exp-log_binary64_5233` `cube-unmult_binary64_5230` `cube-mult_binary64_5223` `cube-div_binary64_5222` `cube-prod_binary64_5221` `cube-neg_binary64_5220` `rem-3cbrt-rft_binary64_5219` `rem-3cbrt-lft_binary64_5218` `rem-cbrt-cube_binary64_5217` `rem-cube-cbrt_binary64_5216` `sqr-abs_binary64_5208` `rem-sqrt-square_binary64_5206` `rem-square-sqrt_binary64_5205` `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` `distribute-neg-out_binary64_5155` `distribute-rgt1-in_binary64_5149` `distribute-lft1-in_binary64_5148` `distribute-rgt-out--_binary64_5147` `distribute-rgt-out_binary64_5146` `distribute-lft-out--_binary64_5145` `distribute-lft-out_binary64_5144` `count-2_binary64_5141`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	104
1	88	96
2	164	96
3	316	96
4	473	96
5	779	96
6	1371	96
7	2448	96
8	3627	96
9	4406	96
10	4697	96
11	4882	96
12	4930	96
13	4963	96
14	4937	96
0	3	3
1	3	3

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
25%	74.9%	0.1%	5
25%	74.9%	0.1%	6
25%	68.6%	6.4%	7
31.2%	62.4%	6.4%	8
36.7%	54.6%	8.7%	9
38.2%	48.4%	13.4%	10
42.7%	42.3%	15%	11
47.8%	34.1%	18.1%	12
49.1%	30.3%	20.5%	13
51.9%	25.8%	22.3%	14

Compiler

Compiled 18 to 15 computations (16.7% saved)

sample42.0ms (0.3%)

Algorithm

1×

intervals

Results

10.0ms	41×	body	2048	valid
8.0ms	165×	body	128	valid
5.0ms	26×	body	1024	valid
4.0ms	12×	body	4096	valid
1.0ms	8×	body	512	valid
1.0ms	21×	body	128	nan
0.0ms	9×	body	128	invalid
0.0ms	4×	body	256	valid

Compiler

Compiled 35 to 32 computations (8.6% saved)

simplify324.0ms (2%)

Algorithm

1×	egg-herbie

Rules

904×	`div-sub_binary64_5198`
743×	`associate-/l*_binary64_5138`
567×	`times-frac_binary64_5199`
521×	`associate-/l/_binary64_5140`
427×	`associate-/r/_binary64_5139`
390×	`sub-neg_binary64_5186`
318×	`distribute-rgt-in_binary64_5143`
273×	`cancel-sign-sub-inv_binary64_5159`
256×	`distribute-neg-frac_binary64_5157`
247×	`distribute-lft-in_binary64_5142`
214×	`distribute-rgt-neg-in_binary64_5151`
199×	`unsub-neg_binary64_5187`
187×	`associate-/r*_binary64_5137`
179×	`distribute-lft-neg-in_binary64_5150`
116×	`neg-mul-1_binary64_5189`
113×	`associate-*l/_binary64_5136`
98×	`*-commutative_binary64_5124`
82×	`distribute-lft-neg-out_binary64_5152`
74×	`neg-sub0_binary64_5188` `distribute-frac-neg_binary64_5156`
67×	`distribute-rgt-neg-out_binary64_5153`
58×	`associate-r_binary64_5133`
55×	`+-commutative_binary64_5123`
54×	`associate--r+_binary64_5129`
49×	`div0_binary64_5174` `associate-l_binary64_5134`
48×	`mul0-rgt_binary64_5176`
45×	`associate-*r/_binary64_5135`
44×	`mul0-lft_binary64_5175`
42×	`remove-double-div_binary64_5169`
38×	`associate--r-_binary64_5132`
30×	`+-lft-identity_binary64_5177`
26×	`distribute-neg-in_binary64_5154` `associate--l-_binary64_5131`
23×	`cancel-sign-sub_binary64_5158`
22×	`/-rgt-identity_binary64_5184` `remove-double-neg_binary64_5181`
19×	`sub0-neg_binary64_5180`
17×	`*-lft-identity_binary64_5182`
14×	`associate-+l-_binary64_5128` `associate-+r-_binary64_5127` `associate-+l+_binary64_5126`
10×	`*-rgt-identity_binary64_5183` `distribute-rgt-out--_binary64_5147` `distribute-rgt-out_binary64_5146` `associate--l+_binary64_5130`
8×	`distribute-neg-out_binary64_5155`
7×	`--rgt-identity_binary64_5179` `associate-+r+_binary64_5125`
6×	`mul-1-neg_binary64_5185`
5×	`+-rgt-identity_binary64_5178`
4×	`distribute-lft-out_binary64_5144`
2×	`distribute-lft-out--_binary64_5145`
1×	`1-exp_binary64_5237` `swap-sqr_binary64_5160`
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` `*-inverses_binary64_5173` `+-inverses_binary64_5172` `lft-mult-inverse_binary64_5171` `rgt-mult-inverse_binary64_5170` `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` `distribute-rgt1-in_binary64_5149` `distribute-lft1-in_binary64_5148` `count-2_binary64_5141`

Counts

1 → 1

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	26
1	29	24
2	62	24
3	125	24
4	175	24
5	284	24
6	456	24
7	759	24
8	1186	24
9	1635	24
10	1913	24
11	1868	24
12	1916	24
13	1985	24
14	2029	24
15	1597	24
16	1589	24
17	1581	24
18	1585	24
19	1587	24
20	1587	24
21	1801	24
22	1901	24
23	1835	24
24	1843	24
25	1865	24
26	1877	24
27	1883	24
28	1883	24
29	1927	24
30	1983	24
31	1935	24
32	1935	24
33	1746	24

prune4.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

32.3b

Counts

2 → 1

Compiler

Compiled 32 to 26 computations (18.8% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
0.4b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
0.4b	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
20.6b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))

rewrite167.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

32.0b

Rules

21×	`add-sqr-sqrt_binary64_5215`
14×	`*-un-lft-identity_binary64_5193`
9×	`add-exp-log_binary64_5231` `add-cbrt-cube_binary64_5229`
8×	`add-log-exp_binary64_5232` `add-cube-cbrt_binary64_5228`
6×	`sqrt-prod_binary64_5209` `difference-of-squares_binary64_5162` `times-frac_binary64_5199` `associate-/l*_binary64_5138`
5×	`pow1_binary64_5254`
4×	`flip3--_binary64_5197` `flip--_binary64_5168` `cancel-sign-sub-inv_binary64_5159`
3×	`distribute-lft-out--_binary64_5145`
2×	`sqrt-div_binary64_5210` `diff-log_binary64_5285` `sub-neg_binary64_5186` `div-exp_binary64_5244` `cbrt-undiv_binary64_5227` `associate-/l/_binary64_5140`
1×	`pow1/2_binary64_5273` `sqrt-pow1_binary64_5211` `rem-sqrt-square_binary64_5206` `prod-exp_binary64_5242` `cbrt-unprod_binary64_5226` `frac-2neg_binary64_5204` `div-sub_binary64_5198` `clear-num_binary64_5192` `div-inv_binary64_5190` `associate-/r*_binary64_5137`

Counts

4 → 74

Calls

4 calls:

12.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
12.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
4.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))
4.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))

Compiler

Compiled 2100 to 1220 computations (41.9% saved)

series1.1s (6.5%)

Error

4.5b

Counts

4 → 71

Calls

4 calls:

322.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
235.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))
225.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
210.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)

Compiler

Compiled 3259 to 2487 computations (23.7% saved)

simplify91.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

568×	`associate-/r*_binary64_5137`
545×	`associate-/l*_binary64_5138`
200×	`cancel-sign-sub-inv_binary64_5159`
191×	`distribute-rgt-neg-in_binary64_5151`
182×	`distribute-rgt-in_binary64_5143`
174×	`distribute-lft-in_binary64_5142`
173×	`distribute-lft-neg-in_binary64_5150`
113×	`associate-/r/_binary64_5139`
107×	`sub-neg_binary64_5186`
106×	`associate-r_binary64_5133`
102×	`associate-/l/_binary64_5140`
96×	`associate-l_binary64_5134`
93×	`*-commutative_binary64_5124`
73×	`times-frac_binary64_5199`
65×	`unswap-sqr_binary64_5161`
62×	`neg-mul-1_binary64_5189` `neg-sub0_binary64_5188` `distribute-neg-frac_binary64_5157`
54×	`+-commutative_binary64_5123`
51×	`div-sub_binary64_5198`
48×	`sqr-pow_binary64_5165`
42×	`exp-prod_binary64_5245`
33×	`associate-l/_binary64_5136` `associate-r/_binary64_5135`
31×	`distribute-rgt-out_binary64_5146`
26×	`distribute-lft-neg-out_binary64_5152`
23×	`associate--l+_binary64_5130`
18×	`cube-prod_binary64_5221`
17×	`distribute-lft-out_binary64_5144`
14×	`unsub-neg_binary64_5187` `associate-+l+_binary64_5126`
13×	`distribute-neg-in_binary64_5154` `distribute-rgt-neg-out_binary64_5153` `associate--r+_binary64_5129`
12×	`swap-sqr_binary64_5160`
11×	`associate-+r-_binary64_5127`
10×	`unpow3_binary64_5259` `+-rgt-identity_binary64_5178`
9×	`cube-mult_binary64_5223` `difference-of-squares_binary64_5162`
7×	`exp-sum_binary64_5239` `associate-+r+_binary64_5125`
6×	`exp-diff_binary64_5241`
5×	`cube-unmult_binary64_5230`
4×	`log-div_binary64_5280` `pow-plus_binary64_5256` `rem-sqrt-square_binary64_5206` `pow-sqr_binary64_5166`
3×	`log-prod_binary64_5279` `unpow2_binary64_5258` `unpow1/2_binary64_5257` `unpow1_binary64_5251` `exp-lft-cube_binary64_5249` `exp-cbrt_binary64_5247` `rem-square-sqrt_binary64_5205` `mul-1-neg_binary64_5185` `distribute-lft-out--_binary64_5145` `associate-+l-_binary64_5128`
2×	`div-exp_binary64_5244` `cube-div_binary64_5222`
1×	`log-pow_binary64_5282` `1-exp_binary64_5237` `rem-3cbrt-lft_binary64_5218` `remove-double-neg_binary64_5181` `*-inverses_binary64_5173` `cancel-sign-sub_binary64_5158` `distribute-neg-out_binary64_5155` `count-2_binary64_5141` `associate--r-_binary64_5132` `associate--l-_binary64_5131`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_5456` `erf-erfc_binary64_5455` `erf-odd_binary64_5454` `if-if-and-not_binary64_5453` `if-if-and_binary64_5452` `if-if-or-not_binary64_5451` `if-if-or_binary64_5450` `if-not_binary64_5449` `if-same_binary64_5448` `if-false_binary64_5447` `if-true_binary64_5446` `not-gte_binary64_5445` `not-lte_binary64_5444` `not-gt_binary64_5443` `not-lt_binary64_5442` `gte-same_binary64_5441` `lte-same_binary64_5440` `gt-same_binary64_5439` `lt-same_binary64_5438` `sinh---cosh_binary64_5385` `sinh-+-cosh_binary64_5384` `sinh-cosh_binary64_5383` `tanh-def-c_binary64_5382` `tanh-def-b_binary64_5381` `tanh-def-a_binary64_5380` `cosh-def_binary64_5379` `sinh-def_binary64_5378` `tan-neg_binary64_5325` `cos-neg_binary64_5324` `sin-neg_binary64_5323` `tan-0_binary64_5322` `cos-0_binary64_5321` `sin-0_binary64_5320` `hang-m-tan_binary64_5319` `hang-p-tan_binary64_5318` `hang-m0-tan_binary64_5317` `hang-p0-tan_binary64_5316` `hang-0m-tan_binary64_5315` `hang-0p-tan_binary64_5314` `tan-+PI/2_binary64_5313` `tan-+PI_binary64_5312` `tan-PI_binary64_5311` `tan-PI/3_binary64_5310` `tan-PI/4_binary64_5309` `tan-PI/6_binary64_5308` `cos-+PI/2_binary64_5307` `cos-+PI_binary64_5306` `cos-PI_binary64_5305` `cos-PI/2_binary64_5304` `cos-PI/3_binary64_5303` `cos-PI/4_binary64_5302` `cos-PI/6_binary64_5301` `sin-+PI/2_binary64_5300` `sin-+PI_binary64_5299` `sin-PI_binary64_5298` `sin-PI/2_binary64_5297` `sin-PI/3_binary64_5296` `sin-PI/4_binary64_5295` `sin-PI/6_binary64_5294` `sub-1-sin_binary64_5293` `sub-1-cos_binary64_5292` `-1-add-sin_binary64_5291` `-1-add-cos_binary64_5290` `1-sub-sin_binary64_5289` `1-sub-cos_binary64_5288` `cos-sin-sum_binary64_5287` `log-E_binary64_5283` `log-rec_binary64_5281` `pow-base-0_binary64_5277` `unpow1/3_binary64_5260` `exp-to-pow_binary64_5255` `pow-base-1_binary64_5253` `unpow0_binary64_5252` `unpow-1_binary64_5250` `exp-lft-sqr_binary64_5248` `exp-sqrt_binary64_5246` `rec-exp_binary64_5243` `prod-exp_binary64_5242` `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` `/-rgt-identity_binary64_5184` `-rgt-identity_binary64_5183` `-lft-identity_binary64_5182` `sub0-neg_binary64_5180` `--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` `rgt-mult-inverse_binary64_5170` `remove-double-div_binary64_5169` `difference-of-sqr--1_binary64_5164` `difference-of-sqr-1_binary64_5163` `distribute-frac-neg_binary64_5156` `distribute-rgt1-in_binary64_5149` `distribute-lft1-in_binary64_5148` `distribute-rgt-out--_binary64_5147`

Counts

145 → 118

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	221	3199
1	581	2968
2	1775	2961
3	5041	2961

prune158.0ms (1%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	107	11	118
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	107	12	119

Error

6.1b

Counts

119 → 12

Compiler

Compiled 2767 to 1527 computations (44.8% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 3 (.f64 a c))
0.4b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c)))) b)
0.4b	(-.f64 (.f64 b b) (.f64 3 (*.f64 a c)))
20.6b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c))))

rewrite99.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

6.1b

Rules

12×	`add-sqr-sqrt_binary64_5215`
10×	`pow1_binary64_5254`
9×	`add-exp-log_binary64_5231` `add-cbrt-cube_binary64_5229` `*-un-lft-identity_binary64_5193`
8×	`add-log-exp_binary64_5232`
7×	`add-cube-cbrt_binary64_5228`
4×	`sqrt-prod_binary64_5209` `cancel-sign-sub-inv_binary64_5159`
3×	`flip3--_binary64_5197` `flip--_binary64_5168` `pow-prod-down_binary64_5264` `prod-exp_binary64_5242` `cbrt-unprod_binary64_5226` `associate-l_binary64_5134`
2×	`sqrt-div_binary64_5210` `diff-log_binary64_5285` `sub-neg_binary64_5186` `difference-of-squares_binary64_5162`
1×	`pow1/2_binary64_5273` `sqrt-pow1_binary64_5211` `rem-sqrt-square_binary64_5206` `distribute-lft-out--_binary64_5145` `associate-r_binary64_5133` `*-commutative_binary64_5124`

Counts

4 → 62

Calls

4 calls:

8.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c)))) b)
5.0ms	(.f64 3 (.f64 a c))
5.0ms	(-.f64 (.f64 b b) (.f64 3 (*.f64 a c)))
4.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c))))

Compiler

Compiled 1583 to 833 computations (47.4% saved)

series830.0ms (5.1%)

Error

6.1b

Counts

4 → 60

Calls

4 calls:

238.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c))))
235.0ms	(-.f64 (.f64 b b) (.f64 3 (*.f64 a c)))
219.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c)))) b)
80.0ms	(.f64 3 (.f64 a c))

Compiler

Compiled 2764 to 2086 computations (24.5% saved)

simplify89.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

617×	`times-frac_binary64_5199`
289×	`unswap-sqr_binary64_5161`
270×	`*-commutative_binary64_5124`
250×	`associate-/l*_binary64_5138`
241×	`associate-/r*_binary64_5137`
170×	`distribute-rgt-neg-in_binary64_5151`
167×	`cancel-sign-sub-inv_binary64_5159`
162×	`neg-mul-1_binary64_5189`
160×	`neg-sub0_binary64_5188`
159×	`distribute-lft-neg-in_binary64_5150`
157×	`sub-neg_binary64_5186`
100×	`associate-r_binary64_5133`
99×	`sqr-pow_binary64_5165`
87×	`associate-l_binary64_5134`
85×	`associate-*l/_binary64_5136`
74×	`+-commutative_binary64_5123`
71×	`exp-prod_binary64_5245` `distribute-lft-in_binary64_5142`
70×	`distribute-rgt-in_binary64_5143` `associate-*r/_binary64_5135`
68×	`unsub-neg_binary64_5187`
41×	`associate-+l+_binary64_5126`
39×	`associate-+l-_binary64_5128`
35×	`div-sub_binary64_5198` `distribute-neg-frac_binary64_5157` `associate-+r+_binary64_5125`
32×	`associate-/r/_binary64_5139` `associate-+r-_binary64_5127`
31×	`distribute-rgt-out_binary64_5146`
28×	`exp-sum_binary64_5239`
25×	`associate--l+_binary64_5130`
23×	`cube-prod_binary64_5221`
22×	`sub0-neg_binary64_5180` `+-rgt-identity_binary64_5178` `difference-of-squares_binary64_5162`
16×	`log-prod_binary64_5279` `distribute-lft-neg-out_binary64_5152`
15×	`unpow3_binary64_5259` `pow-sqr_binary64_5166`
14×	`mul0-rgt_binary64_5176` `mul0-lft_binary64_5175`
13×	`associate--r+_binary64_5129`
12×	`exp-diff_binary64_5241` `swap-sqr_binary64_5160`
10×	`pow-plus_binary64_5256` `cube-mult_binary64_5223`
9×	`distribute-rgt-neg-out_binary64_5153`
8×	`cube-unmult_binary64_5230`
6×	`rem-sqrt-square_binary64_5206`
5×	`exp-lft-cube_binary64_5249` `distribute-lft-out_binary64_5144` `associate-/l/_binary64_5140`
4×	`log-pow_binary64_5282` `distribute-neg-in_binary64_5154`
3×	`unpow2_binary64_5258` `unpow1/2_binary64_5257` `unpow1_binary64_5251` `rem-square-sqrt_binary64_5205`
2×	`div-exp_binary64_5244` `sqr-neg_binary64_5207` `remove-double-neg_binary64_5181` `associate--l-_binary64_5131`
1×	`prod-exp_binary64_5242` `1-exp_binary64_5237` `rem-3cbrt-lft_binary64_5218` `*-lft-identity_binary64_5182` `--rgt-identity_binary64_5179` `+-inverses_binary64_5172` `cancel-sign-sub_binary64_5158` `distribute-neg-out_binary64_5155` `count-2_binary64_5141` `associate--r-_binary64_5132`
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-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-div_binary64_5222` `cube-neg_binary64_5220` `rem-3cbrt-rft_binary64_5219` `rem-cbrt-cube_binary64_5217` `rem-cube-cbrt_binary64_5216` `sqr-abs_binary64_5208` `mul-1-neg_binary64_5185` `/-rgt-identity_binary64_5184` `-rgt-identity_binary64_5183` `+-lft-identity_binary64_5177` `div0_binary64_5174` `-inverses_binary64_5173` `lft-mult-inverse_binary64_5171` `rgt-mult-inverse_binary64_5170` `remove-double-div_binary64_5169` `difference-of-sqr--1_binary64_5164` `difference-of-sqr-1_binary64_5163` `distribute-frac-neg_binary64_5156` `distribute-rgt1-in_binary64_5149` `distribute-lft1-in_binary64_5148` `distribute-rgt-out--_binary64_5147` `distribute-lft-out--_binary64_5145`

Counts

122 → 69

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	156	1988
1	363	1912
2	1080	1909
3	3977	1909
4	5040	1909

prune82.0ms (0.5%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	67	2	69
Fresh	2	8	10
Picked	0	1	1
Done	0	1	1
Total	69	12	81

Error

6.1b

Counts

81 → 12

Compiler

Compiled 1460 to 839 computations (42.5% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

1.2b	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c)))))
3.5b	(/.f64 (/.f64 (/.f64 (.f64 a (.f64 c -3)) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c)))))) 3) a)
7.6b	(/.f64 (.f64 a (.f64 c -3)) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c))))))
20.6b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c))))

rewrite604.0ms (3.7%)

Algorithm

1×	rewrite-expression-head

Error

5.3b

Rules

274×	`times-frac_binary64_5199`
140×	`*-un-lft-identity_binary64_5193`
111×	`add-sqr-sqrt_binary64_5215`
110×	`add-cube-cbrt_binary64_5228`
35×	`associate-/l*_binary64_5138`
33×	`add-exp-log_binary64_5231` `add-cbrt-cube_binary64_5229`
26×	`associate-/r/_binary64_5139`
18×	`div-inv_binary64_5190`
15×	`div-exp_binary64_5244` `cbrt-undiv_binary64_5227` `distribute-lft-out_binary64_5144`
14×	`flip3-+_binary64_5196` `flip-+_binary64_5167`
7×	`associate-/r*_binary64_5137`
6×	`add-log-exp_binary64_5232` `prod-exp_binary64_5242` `cbrt-unprod_binary64_5226`
5×	`pow1_binary64_5254`
3×	`sqrt-prod_binary64_5209`
2×	`sqrt-div_binary64_5210` `frac-2neg_binary64_5204` `clear-num_binary64_5192`
1×	`pow1/2_binary64_5273` `sqrt-pow1_binary64_5211` `flip3--_binary64_5197` `flip--_binary64_5168` `rem-sqrt-square_binary64_5206` `associate-/l/_binary64_5140` `sum-log_binary64_5284` `+-commutative_binary64_5123`

Counts

4 → 214

Calls

4 calls:

20.0ms	(/.f64 (/.f64 (/.f64 (.f64 a (.f64 c -3)) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c)))))) 3) a)
11.0ms	(/.f64 (.f64 a (.f64 c -3)) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c))))))
6.0ms	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c)))))
4.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c))))

Compiler

Compiled 9294 to 5213 computations (43.9% saved)

series1.4s (8.4%)

Error

4.5b

Counts

4 → 73

Calls

4 calls:

470.0ms	(/.f64 (.f64 a (.f64 c -3)) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c))))))
375.0ms	(/.f64 (/.f64 (/.f64 (.f64 a (.f64 c -3)) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c)))))) 3) a)
229.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c))))
224.0ms	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c)))))

Compiler

Compiled 4522 to 3267 computations (27.8% saved)

simplify398.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

321×	`associate-/r*_binary64_5137`
306×	`associate-/l*_binary64_5138`
272×	`times-frac_binary64_5199`
190×	`associate-/l/_binary64_5140`
180×	`sub-neg_binary64_5186` `*-commutative_binary64_5124`
164×	`associate-r_binary64_5133`
146×	`div-sub_binary64_5198`
143×	`associate-/r/_binary64_5139`
137×	`associate-*l/_binary64_5136`
136×	`associate-l_binary64_5134`
92×	`associate-*r/_binary64_5135`
91×	`unswap-sqr_binary64_5161`
86×	`log-prod_binary64_5279`
67×	`+-commutative_binary64_5123`
64×	`neg-sub0_binary64_5188` `cancel-sign-sub-inv_binary64_5159`
59×	`neg-mul-1_binary64_5189`
54×	`log-div_binary64_5280`
48×	`sqr-pow_binary64_5165`
46×	`distribute-rgt-in_binary64_5143`
44×	`associate--l+_binary64_5130`
42×	`cube-prod_binary64_5221` `/-rgt-identity_binary64_5184`
40×	`distribute-lft-in_binary64_5142`
39×	`unpow3_binary64_5259`
37×	`swap-sqr_binary64_5160`
36×	`distribute-rgt-neg-in_binary64_5151`
29×	`distribute-lft-neg-in_binary64_5150`
22×	`associate--r+_binary64_5129`
21×	`exp-prod_binary64_5245`
19×	`associate-+l+_binary64_5126`
18×	`cube-div_binary64_5222` `unsub-neg_binary64_5187`
16×	`distribute-neg-frac_binary64_5157`
15×	`*-lft-identity_binary64_5182`
12×	`*-rgt-identity_binary64_5183`
11×	`distribute-neg-in_binary64_5154`
9×	`log-pow_binary64_5282` `associate-+r+_binary64_5125`
8×	`cube-mult_binary64_5223` `mul-1-neg_binary64_5185`
7×	`pow-plus_binary64_5256` `cube-unmult_binary64_5230` `difference-of-squares_binary64_5162` `associate--l-_binary64_5131`
5×	`associate-+l-_binary64_5128` `associate-+r-_binary64_5127`
4×	`unpow2_binary64_5258` `unpow1/2_binary64_5257` `unpow1_binary64_5251` `exp-sum_binary64_5239` `rem-sqrt-square_binary64_5206`
3×	`log-rec_binary64_5281` `+-rgt-identity_binary64_5178` `div0_binary64_5174` `distribute-lft-neg-out_binary64_5152` `distribute-rgt-out_binary64_5146`
2×	`rem-square-sqrt_binary64_5205` `pow-sqr_binary64_5166` `distribute-frac-neg_binary64_5156`
1×	`exp-cbrt_binary64_5247` `prod-exp_binary64_5242` `1-exp_binary64_5237` `cube-neg_binary64_5220` `*-inverses_binary64_5173` `+-inverses_binary64_5172` `distribute-rgt-out--_binary64_5147` `distribute-lft-out--_binary64_5145` `associate--r-_binary64_5132`
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` `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-sqrt_binary64_5246` `div-exp_binary64_5244` `rec-exp_binary64_5243` `exp-diff_binary64_5241` `exp-neg_binary64_5240` `e-exp-1_binary64_5238` `exp-1-e_binary64_5236` `exp-0_binary64_5235` `rem-log-exp_binary64_5234` `rem-exp-log_binary64_5233` `rem-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` `remove-double-neg_binary64_5181` `sub0-neg_binary64_5180` `--rgt-identity_binary64_5179` `+-lft-identity_binary64_5177` `mul0-rgt_binary64_5176` `mul0-lft_binary64_5175` `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-rgt-neg-out_binary64_5153` `distribute-rgt1-in_binary64_5149` `distribute-lft1-in_binary64_5148` `distribute-lft-out_binary64_5144` `count-2_binary64_5141`

Counts

287 → 223

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	539	12503
1	1364	11724
2	4013	11571
3	4872	11571
4	4985	11571
5	4931	11571

prune441.0ms (2.7%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	220	3	223
Fresh	1	8	9
Picked	1	0	1
Done	1	1	2
Total	223	12	235

Error

5.3b

Counts

235 → 12

Compiler

Compiled 7924 to 4450 computations (43.8% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.3b	(/.f64 1/3 a)
0.4b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
0.4b	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
20.6b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))

rewrite117.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

5.3b

Rules

19×	`add-sqr-sqrt_binary64_5215`
16×	`*-un-lft-identity_binary64_5193`
14×	`add-cube-cbrt_binary64_5228`
9×	`times-frac_binary64_5199`
8×	`add-log-exp_binary64_5232`
6×	`add-exp-log_binary64_5231` `add-cbrt-cube_binary64_5229`
5×	`pow1_binary64_5254`
4×	`sqrt-prod_binary64_5209` `cancel-sign-sub-inv_binary64_5159`
3×	`flip3--_binary64_5197` `flip--_binary64_5168` `associate-/l_binary64_5138` `associate-/r_binary64_5137`
2×	`sqrt-div_binary64_5210` `diff-log_binary64_5285` `sub-neg_binary64_5186` `difference-of-squares_binary64_5162`
1×	`pow1/2_binary64_5273` `sqrt-pow1_binary64_5211` `rem-sqrt-square_binary64_5206` `distribute-lft-out--_binary64_5145` `div-exp_binary64_5244` `cbrt-undiv_binary64_5227` `frac-2neg_binary64_5204` `clear-num_binary64_5192` `div-inv_binary64_5190`

Counts

4 → 71

Calls

4 calls:

8.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
4.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
4.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))
3.0ms	(/.f64 1/3 a)

Compiler

Compiled 1789 to 1054 computations (41.1% saved)

series762.0ms (4.7%)

Error

5.3b

Counts

4 → 57

Calls

4 calls:

229.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
226.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))
225.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
28.0ms	(/.f64 1/3 a)

Compiler

Compiled 2620 to 1987 computations (24.2% saved)

simplify142.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

581×	`times-frac_binary64_5199`
286×	`associate-/r*_binary64_5137`
219×	`*-commutative_binary64_5124`
214×	`unswap-sqr_binary64_5161`
209×	`associate-/l*_binary64_5138`
163×	`sub-neg_binary64_5186`
146×	`cancel-sign-sub-inv_binary64_5159`
127×	`neg-mul-1_binary64_5189`
126×	`distribute-rgt-neg-in_binary64_5151`
125×	`neg-sub0_binary64_5188`
117×	`distribute-lft-neg-in_binary64_5150`
113×	`exp-prod_binary64_5245`
111×	`sqr-pow_binary64_5165`
82×	`associate-*l/_binary64_5136`
76×	`distribute-lft-in_binary64_5142`
75×	`distribute-rgt-in_binary64_5143`
74×	`unsub-neg_binary64_5187`
71×	`+-commutative_binary64_5123`
69×	`associate-*r/_binary64_5135`
65×	`associate-r_binary64_5133`
59×	`associate-l_binary64_5134`
58×	`cube-prod_binary64_5221`
54×	`exp-sum_binary64_5239`
47×	`unpow3_binary64_5259`
45×	`swap-sqr_binary64_5160`
40×	`associate-+l-_binary64_5128`
38×	`associate-/r/_binary64_5139` `associate-+l+_binary64_5126`
34×	`div-sub_binary64_5198`
33×	`associate-+r-_binary64_5127`
32×	`distribute-neg-frac_binary64_5157` `associate-+r+_binary64_5125`
30×	`difference-of-squares_binary64_5162`
26×	`exp-diff_binary64_5241`
25×	`distribute-rgt-out_binary64_5146` `associate--l+_binary64_5130`
24×	`associate-/l/_binary64_5140`
23×	`sub0-neg_binary64_5180` `+-rgt-identity_binary64_5178`
20×	`distribute-lft-neg-out_binary64_5152`
18×	`pow-sqr_binary64_5166`
17×	`cube-unmult_binary64_5230`
16×	`mul0-rgt_binary64_5176` `mul0-lft_binary64_5175`
15×	`cube-mult_binary64_5223`
13×	`pow-plus_binary64_5256` `associate--r+_binary64_5129`
11×	`distribute-lft-out_binary64_5144`
10×	`distribute-rgt-neg-out_binary64_5153`
9×	`log-prod_binary64_5279`
7×	`prod-exp_binary64_5242`
6×	`exp-lft-cube_binary64_5249` `rem-sqrt-square_binary64_5206`
4×	`log-pow_binary64_5282` `unpow2_binary64_5258` `cube-neg_binary64_5220` `*-rgt-identity_binary64_5183` `distribute-neg-in_binary64_5154`
3×	`log-div_binary64_5280` `unpow1/2_binary64_5257` `unpow1_binary64_5251` `cube-div_binary64_5222` `rem-square-sqrt_binary64_5205` `/-rgt-identity_binary64_5184`
2×	`div-exp_binary64_5244` `sqr-neg_binary64_5207` `*-lft-identity_binary64_5182` `remove-double-neg_binary64_5181` `associate--l-_binary64_5131`
1×	`1-exp_binary64_5237` `exp-1-e_binary64_5236` `rem-3cbrt-lft_binary64_5218` `--rgt-identity_binary64_5179` `+-inverses_binary64_5172` `cancel-sign-sub_binary64_5158` `distribute-neg-out_binary64_5155` `count-2_binary64_5141` `associate--r-_binary64_5132`
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` `exp-to-pow_binary64_5255` `pow-base-1_binary64_5253` `unpow0_binary64_5252` `unpow-1_binary64_5250` `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-0_binary64_5235` `rem-log-exp_binary64_5234` `rem-exp-log_binary64_5233` `rem-3cbrt-rft_binary64_5219` `rem-cbrt-cube_binary64_5217` `rem-cube-cbrt_binary64_5216` `sqr-abs_binary64_5208` `mul-1-neg_binary64_5185` `+-lft-identity_binary64_5177` `div0_binary64_5174` `*-inverses_binary64_5173` `lft-mult-inverse_binary64_5171` `rgt-mult-inverse_binary64_5170` `remove-double-div_binary64_5169` `difference-of-sqr--1_binary64_5164` `difference-of-sqr-1_binary64_5163` `distribute-frac-neg_binary64_5156` `distribute-rgt1-in_binary64_5149` `distribute-lft1-in_binary64_5148` `distribute-rgt-out--_binary64_5147` `distribute-lft-out--_binary64_5145`

Counts

128 → 86

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	180	2077
1	392	1977
2	1080	1974
3	3806	1974
4	4834	1974
5	4978	1974
6	4893	1974

prune95.0ms (0.6%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	85	1	86
Fresh	0	10	10
Picked	0	1	1
Done	0	1	1
Total	85	13	98

Error

5.3b

Counts

98 → 13

Compiler

Compiled 1754 to 958 computations (45.4% saved)

regimes4.0s (24.7%)

Accuracy

Total 2.3b remaining (29.9%)

Threshold costs 0b (0%)

Compiler

Compiled 22664 to 16776 computations (26% saved)

bsearch112.0ms (0.7%)

Steps

Iters	Range		Point
7	4.726680988955865e+75	1.1597410161598796e+77	2.2080465071725722e+76
8	1.2008204187777197e-172	5.027729811494594e-168	1.9677039219986912e-169
6	-8.481054292095618e+91	-1.6208438507299074e+91	-8.363321097884155e+91

Compiler

Compiled 1 to 3 computations (-200% saved)

simplify7.0ms (0%)

Algorithm

1×	egg-herbie

Rules

16×	`*-commutative_binary64_5124`
12×	`+-commutative_binary64_5123`
10×	`sub-neg_binary64_5186`
8×	`neg-mul-1_binary64_5189` `neg-sub0_binary64_5188` `distribute-rgt-neg-in_binary64_5151`
6×	`distribute-lft-neg-in_binary64_5150`
4×	`cancel-sign-sub-inv_binary64_5159`
2×	`/-rgt-identity_binary64_5184` `distribute-lft-neg-out_binary64_5152`
1×	`1-exp_binary64_5237` `unsub-neg_binary64_5187` `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` `exp-1-e_binary64_5236` `exp-0_binary64_5235` `sqr-abs_binary64_5208` `sqr-neg_binary64_5207` `mul-1-neg_binary64_5185` `-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-frac-neg_binary64_5156` `distribute-neg-out_binary64_5155` `distribute-neg-in_binary64_5154` `distribute-rgt-neg-out_binary64_5153`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	47	106
1	71	104
2	95	104
3	115	104
4	125	104
5	128	104
6	127	104

end0.0ms (0%)

sample4.5s (27.7%)

Algorithm

1×

intervals

Results

284.0ms	1149×	body	2048	valid
263.0ms	5214×	body	128	valid
135.0ms	718×	body	1024	valid
123.0ms	407×	body	4096	valid
47.0ms	341×	body	512	valid
34.0ms	674×	body	128	nan
20.0ms	402×	body	128	invalid
16.0ms	171×	body	256	valid

Compiler

Compiled 4445 to 3285 computations (26.1% saved)

Details

analyze732.0ms (4.5%)

sample42.0ms (0.3%)

simplify324.0ms (2%)

prune4.0ms (0%)

localize10.0ms (0.1%)

rewrite167.0ms (1%)

series1.1s (6.5%)

simplify91.0ms (0.6%)

prune158.0ms (1%)

localize11.0ms (0.1%)

rewrite99.0ms (0.6%)

series830.0ms (5.1%)

simplify89.0ms (0.5%)

prune82.0ms (0.5%)

localize15.0ms (0.1%)

rewrite604.0ms (3.7%)

series1.4s (8.4%)

simplify398.0ms (2.4%)

prune441.0ms (2.7%)

localize11.0ms (0.1%)

rewrite117.0ms (0.7%)

series762.0ms (4.7%)

simplify142.0ms (0.9%)

prune95.0ms (0.6%)

regimes4.0s (24.7%)

bsearch112.0ms (0.7%)

simplify7.0ms (0%)

end0.0ms (0%)

sample4.5s (27.7%)

Profiling