Details

analyze211.0ms (4.8%)

Algorithm

1×	search
2×	egg-herbie

Rules

368×	`div-sub_binary64_5198`
196×	`associate-/l*_binary64_5138`
178×	`associate-/l/_binary64_5140`
148×	`times-frac_binary64_5199`
138×	`sub-neg_binary64_5186`
125×	`associate-/r/_binary64_5139`
120×	`cancel-sign-sub-inv_binary64_5159`
104×	`associate-/r*_binary64_5137`
100×	`distribute-rgt-in_binary64_5143`
92×	`distribute-lft-in_binary64_5142`
70×	`unsub-neg_binary64_5187`
68×	`distribute-neg-frac_binary64_5157`
60×	`distribute-rgt-neg-in_binary64_5151`
52×	`associate-l_binary64_5134`
50×	`associate-*l/_binary64_5136`
42×	`distribute-lft-neg-in_binary64_5150`
32×	`neg-mul-1_binary64_5189`
30×	`neg-sub0_binary64_5188` `distribute-lft-neg-out_binary64_5152`
28×	`associate-r_binary64_5133` `associate--r+_binary64_5129`
22×	`mul0-rgt_binary64_5176`
20×	`div0_binary64_5174` `distribute-frac-neg_binary64_5156` `distribute-rgt-neg-out_binary64_5153` `associate-+l-_binary64_5128` `+-commutative_binary64_5123`
18×	`-lft-identity_binary64_5182` `associate--l-_binary64_5131` `-commutative_binary64_5124`
14×	`distribute-neg-in_binary64_5154`
12×	`*-rgt-identity_binary64_5183` `sub0-neg_binary64_5180`
10×	`mul0-lft_binary64_5175` `distribute-rgt-out--_binary64_5147` `associate-*r/_binary64_5135` `associate--r-_binary64_5132` `associate--l+_binary64_5130`
8×	`/-rgt-identity_binary64_5184` `remove-double-div_binary64_5169` `distribute-rgt-out_binary64_5146` `associate-+l+_binary64_5126` `associate-+r+_binary64_5125`
6×	`mul-1-neg_binary64_5185` `remove-double-neg_binary64_5181` `--rgt-identity_binary64_5179` `distribute-rgt1-in_binary64_5149` `associate-+r-_binary64_5127`
4×	`+-rgt-identity_binary64_5178` `+-lft-identity_binary64_5177`
2×	`distribute-neg-out_binary64_5155`
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` `*-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` `swap-sqr_binary64_5160` `cancel-sign-sub_binary64_5158` `distribute-lft1-in_binary64_5148` `distribute-lft-out--_binary64_5145` `distribute-lft-out_binary64_5144` `count-2_binary64_5141`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	20
1	18	20
2	27	20
3	44	20
4	62	20
5	103	20
6	184	20
7	315	20
8	534	20
9	798	20
10	840	20
11	928	20
12	902	20
13	890	20
14	894	20
15	898	20
16	902	20
17	802	20
0	2	2
1	2	2

Search

True	Other	False	Iter
0%	0%	100%	0
0%	0%	100%	1

Compiler

Compiled 22 to 17 computations (22.7% saved)

sample25.0ms (0.6%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	128	valid
7.0ms	256×	pre	128	true

Compiler

Compiled 29 to 25 computations (13.8% saved)

simplify49.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

243×	`div-sub_binary64_5198`
166×	`associate-/l/_binary64_5140`
143×	`times-frac_binary64_5199`
130×	`associate-/l*_binary64_5138`
86×	`sub-neg_binary64_5186`
81×	`associate-/r/_binary64_5139`
70×	`associate-/r*_binary64_5137`
62×	`distribute-lft-in_binary64_5142`
61×	`distribute-rgt-in_binary64_5143`
53×	`cancel-sign-sub-inv_binary64_5159`
42×	`distribute-neg-frac_binary64_5157`
39×	`associate-*l/_binary64_5136`
35×	`unsub-neg_binary64_5187`
31×	`associate-l_binary64_5134`
27×	`distribute-rgt-neg-in_binary64_5151`
20×	`neg-sub0_binary64_5188`
19×	`distribute-lft-neg-out_binary64_5152` `distribute-lft-neg-in_binary64_5150`
18×	`neg-mul-1_binary64_5189`
17×	`associate-r_binary64_5133` `associate--r+_binary64_5129`
15×	`mul0-rgt_binary64_5176`
14×	`+-commutative_binary64_5123`
13×	`div0_binary64_5174` `distribute-frac-neg_binary64_5156` `associate--l-_binary64_5131`
12×	`distribute-rgt-neg-out_binary64_5153`
11×	`associate-+l-_binary64_5128`
10×	`-lft-identity_binary64_5182` `-commutative_binary64_5124`
9×	`*-rgt-identity_binary64_5183` `distribute-neg-in_binary64_5154` `associate--r-_binary64_5132`
8×	`/-rgt-identity_binary64_5184` `sub0-neg_binary64_5180`
7×	`mul-1-neg_binary64_5185`
6×	`mul0-lft_binary64_5175`
5×	`distribute-rgt-out--_binary64_5147` `associate-*r/_binary64_5135` `associate--l+_binary64_5130`
4×	`remove-double-neg_binary64_5181` `--rgt-identity_binary64_5179` `remove-double-div_binary64_5169` `distribute-rgt-out_binary64_5146` `associate-+l+_binary64_5126` `associate-+r+_binary64_5125`
3×	`distribute-rgt1-in_binary64_5149` `associate-+r-_binary64_5127`
2×	`+-rgt-identity_binary64_5178` `+-lft-identity_binary64_5177`
1×	`1-exp_binary64_5237` `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` `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` `swap-sqr_binary64_5160` `cancel-sign-sub_binary64_5158` `distribute-lft1-in_binary64_5148` `distribute-lft-out--_binary64_5145` `distribute-lft-out_binary64_5144` `count-2_binary64_5141`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	13	10
2	20	10
3	31	10
4	42	10
5	66	10
6	110	10
7	184	10
8	308	10
9	462	10
10	533	10
11	599	10
12	568	10
13	564	10
14	568	10
15	572	10
16	574	10
17	498	10

prune1.0ms (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

8.2b

Counts

1 → 1

Compiler

Compiled 7 to 6 computations (14.3% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

1.0b	(/.f64 x0 (-.f64 1 x1))
7.4b	(-.f64 (/.f64 x0 (-.f64 1 x1)) x0)

rewrite75.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

7.2b

Rules

31×	`add-sqr-sqrt_binary64_5215`
28×	`*-un-lft-identity_binary64_5193`
19×	`times-frac_binary64_5199`
14×	`add-cube-cbrt_binary64_5228`
10×	`difference-of-squares_binary64_5162`
6×	`associate-/r*_binary64_5137`
5×	`distribute-lft-out--_binary64_5145`
4×	`add-log-exp_binary64_5232` `add-exp-log_binary64_5231` `add-cbrt-cube_binary64_5229`
3×	`cancel-sign-sub-inv_binary64_5159` `associate-/l*_binary64_5138`
2×	`pow1_binary64_5254` `flip3--_binary64_5197` `flip--_binary64_5168` `associate-/r/_binary64_5139`
1×	`diff-log_binary64_5285` `sub-neg_binary64_5186` `div-exp_binary64_5244` `cbrt-undiv_binary64_5227` `frac-2neg_binary64_5204` `clear-num_binary64_5192` `div-inv_binary64_5190`

Counts

2 → 58

Calls

2 calls:

15.0ms	(-.f64 (/.f64 x0 (-.f64 1 x1)) x0)
6.0ms	(/.f64 x0 (-.f64 1 x1))

Compiler

Compiled 873 to 532 computations (39.1% saved)

series193.0ms (4.4%)

Error

4.2b

Counts

2 → 18

Calls

2 calls:

102.0ms	(-.f64 (/.f64 x0 (-.f64 1 x1)) x0)
80.0ms	(/.f64 x0 (-.f64 1 x1))

Compiler

Compiled 406 to 299 computations (26.4% saved)

simplify92.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

424×	`distribute-rgt-in_binary64_5143`
359×	`distribute-rgt-out_binary64_5146`
270×	`distribute-lft-out_binary64_5144`
196×	`associate-l_binary64_5134`
189×	`associate-r_binary64_5133`
182×	`exp-prod_binary64_5245`
168×	`associate-/l*_binary64_5138`
148×	`log-prod_binary64_5279`
121×	`cancel-sign-sub-inv_binary64_5159`
116×	`unswap-sqr_binary64_5161`
104×	`times-frac_binary64_5199`
101×	`distribute-lft-neg-out_binary64_5152`
97×	`div-sub_binary64_5198` `distribute-rgt-neg-out_binary64_5153`
78×	`*-commutative_binary64_5124`
77×	`associate-*l/_binary64_5136`
74×	`sub-neg_binary64_5186`
70×	`associate-/l/_binary64_5140`
65×	`associate-/r*_binary64_5137` `+-commutative_binary64_5123`
59×	`distribute-lft-in_binary64_5142`
57×	`associate-*r/_binary64_5135`
52×	`associate-+l+_binary64_5126`
51×	`distribute-rgt-neg-in_binary64_5151`
50×	`unsub-neg_binary64_5187`
49×	`distribute-lft-neg-in_binary64_5150`
46×	`log-div_binary64_5280`
44×	`distribute-neg-frac_binary64_5157`
40×	`unpow3_binary64_5259`
39×	`cube-prod_binary64_5221` `sqr-pow_binary64_5165`
38×	`neg-sub0_binary64_5188`
35×	`swap-sqr_binary64_5160`
34×	`associate-/r/_binary64_5139`
32×	`distribute-rgt-out--_binary64_5147`
30×	`neg-mul-1_binary64_5189`
29×	`associate-+r+_binary64_5125`
26×	`cube-div_binary64_5222`
22×	`*-rgt-identity_binary64_5183` `distribute-frac-neg_binary64_5156`
20×	`distribute-rgt1-in_binary64_5149`
16×	`exp-sum_binary64_5239` `*-lft-identity_binary64_5182`
13×	`difference-of-squares_binary64_5162`
12×	`distribute-neg-in_binary64_5154` `associate-+l-_binary64_5128`
10×	`sub0-neg_binary64_5180`
9×	`pow-plus_binary64_5256` `mul0-rgt_binary64_5176` `mul0-lft_binary64_5175` `distribute-lft-out--_binary64_5145`
8×	`associate-+r-_binary64_5127`
7×	`exp-diff_binary64_5241` `cube-unmult_binary64_5230` `distribute-lft1-in_binary64_5148`
6×	`log-rec_binary64_5281` `mul-1-neg_binary64_5185` `+-rgt-identity_binary64_5178`
4×	`cube-mult_binary64_5223` `/-rgt-identity_binary64_5184`
3×	`remove-double-neg_binary64_5181` `div0_binary64_5174` `pow-sqr_binary64_5166` `difference-of-sqr-1_binary64_5163` `associate--r+_binary64_5129`
2×	`log-pow_binary64_5282` `sqr-neg_binary64_5207` `rem-sqrt-square_binary64_5206` `distribute-neg-out_binary64_5155` `associate--l-_binary64_5131`
1×	`unpow2_binary64_5258` `unpow1/2_binary64_5257` `unpow1_binary64_5251` `div-exp_binary64_5244` `1-exp_binary64_5237` `cube-neg_binary64_5220` `rem-3cbrt-lft_binary64_5218` `rem-square-sqrt_binary64_5205` `difference-of-sqr--1_binary64_5164` `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-cbrt_binary64_5247` `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` `rem-3cbrt-rft_binary64_5219` `rem-cbrt-cube_binary64_5217` `rem-cube-cbrt_binary64_5216` `sqr-abs_binary64_5208` `--rgt-identity_binary64_5179` `+-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` `cancel-sign-sub_binary64_5158` `count-2_binary64_5141` `associate--l+_binary64_5130`

Counts

76 → 41

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	125	1055
1	270	1020
2	635	999
3	2180	990
4	4746	990
5	5045	990

prune30.0ms (0.7%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	39	2	41
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	40	2	42

Error

4.2b

Counts

42 → 2

Compiler

Compiled 470 to 258 computations (45.1% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.5b	(*.f64 (-.f64 (/.f64 1 (-.f64 1 x1)) 1) x0)
7.0b	(-.f64 (/.f64 1 (-.f64 1 x1)) 1)

rewrite115.0ms (2.6%)

Algorithm

1×	rewrite-expression-head

Error

3.6b

Rules

37×	`add-sqr-sqrt_binary64_5215`
23×	`*-un-lft-identity_binary64_5193`
14×	`associate-l_binary64_5134`
12×	`times-frac_binary64_5199` `difference-of-squares_binary64_5162`
6×	`difference-of-sqr-1_binary64_5163`
5×	`add-cube-cbrt_binary64_5228`
4×	`add-log-exp_binary64_5232` `pow1_binary64_5254` `add-exp-log_binary64_5231` `add-cbrt-cube_binary64_5229` `distribute-lft-out--_binary64_5145`
3×	`cancel-sign-sub-inv_binary64_5159` `associate-r_binary64_5133`
2×	`flip3--_binary64_5197` `flip--_binary64_5168` `div-inv_binary64_5190` `associate-*l/_binary64_5136`
1×	`diff-log_binary64_5285` `sub-neg_binary64_5186` `pow-prod-down_binary64_5264` `prod-exp_binary64_5242` `cbrt-unprod_binary64_5226` `unswap-sqr_binary64_5161` `*-commutative_binary64_5124`

Counts

2 → 56

Calls

2 calls:

23.0ms	(*.f64 (-.f64 (/.f64 1 (-.f64 1 x1)) 1) x0)
15.0ms	(-.f64 (/.f64 1 (-.f64 1 x1)) 1)

Compiler

Compiled 1138 to 968 computations (14.9% saved)

series150.0ms (3.4%)

Error

4.1b

Counts

2 → 15

Calls

2 calls:

119.0ms	(*.f64 (-.f64 (/.f64 1 (-.f64 1 x1)) 1) x0)
20.0ms	(-.f64 (/.f64 1 (-.f64 1 x1)) 1)

Compiler

Compiled 375 to 314 computations (16.3% saved)

simplify116.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

619×	`distribute-rgt-in_binary64_5143`
577×	`distribute-lft-in_binary64_5142`
512×	`div-sub_binary64_5198`
319×	`times-frac_binary64_5199`
261×	`associate-+l+_binary64_5126`
231×	`associate-*l/_binary64_5136`
189×	`distribute-rgt-out_binary64_5146`
175×	`associate-/l*_binary64_5138`
171×	`associate-l_binary64_5134`
155×	`distribute-lft-out_binary64_5144` `*-commutative_binary64_5124`
133×	`associate-r_binary64_5133`
126×	`+-commutative_binary64_5123`
113×	`associate-/r*_binary64_5137`
110×	`unswap-sqr_binary64_5161`
103×	`associate-*r/_binary64_5135`
98×	`distribute-rgt-neg-out_binary64_5153`
95×	`unsub-neg_binary64_5187` `distribute-lft-neg-out_binary64_5152`
93×	`distribute-neg-in_binary64_5154`
72×	`sqr-pow_binary64_5165`
60×	`exp-prod_binary64_5245`
52×	`associate-+r+_binary64_5125`
49×	`sub-neg_binary64_5186`
46×	`associate-+l-_binary64_5128`
44×	`associate--r+_binary64_5129`
41×	`distribute-rgt1-in_binary64_5149` `associate-/l/_binary64_5140`
36×	`associate-+r-_binary64_5127`
33×	`log-prod_binary64_5279`
32×	`neg-sub0_binary64_5188`
30×	`mul-1-neg_binary64_5185` `-rgt-identity_binary64_5183` `-lft-identity_binary64_5182`
29×	`unpow3_binary64_5259` `cancel-sign-sub-inv_binary64_5159`
28×	`cube-prod_binary64_5221`
21×	`distribute-frac-neg_binary64_5156`
20×	`distribute-rgt-neg-in_binary64_5151`
19×	`exp-sum_binary64_5239` `distribute-lft1-in_binary64_5148`
18×	`distribute-lft-neg-in_binary64_5150` `associate-/r/_binary64_5139`
15×	`pow-plus_binary64_5256` `cube-unmult_binary64_5230`
14×	`neg-mul-1_binary64_5189` `pow-sqr_binary64_5166`
13×	`cube-div_binary64_5222`
12×	`exp-diff_binary64_5241` `rem-sqrt-square_binary64_5206` `mul0-rgt_binary64_5176` `mul0-lft_binary64_5175`
11×	`sqr-neg_binary64_5207`
10×	`swap-sqr_binary64_5160`
8×	`distribute-neg-out_binary64_5155` `associate--l+_binary64_5130`
7×	`cube-neg_binary64_5220` `sub0-neg_binary64_5180` `distribute-neg-frac_binary64_5157` `distribute-rgt-out--_binary64_5147`
6×	`unpow1/2_binary64_5257` `difference-of-sqr-1_binary64_5163`
5×	`+-rgt-identity_binary64_5178`
4×	`cube-mult_binary64_5223` `/-rgt-identity_binary64_5184` `associate--r-_binary64_5132` `associate--l-_binary64_5131`
3×	`remove-double-neg_binary64_5181`
2×	`log-div_binary64_5280` `div0_binary64_5174` `remove-double-div_binary64_5169`
1×	`unpow2_binary64_5258` `unpow1_binary64_5251` `div-exp_binary64_5244` `exp-neg_binary64_5240` `1-exp_binary64_5237` `exp-1-e_binary64_5236` `rem-3cbrt-lft_binary64_5218` `--rgt-identity_binary64_5179` `difference-of-sqr--1_binary64_5164` `count-2_binary64_5141`
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` `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` `prod-exp_binary64_5242` `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` `rem-square-sqrt_binary64_5205` `+-lft-identity_binary64_5177` `*-inverses_binary64_5173` `+-inverses_binary64_5172` `lft-mult-inverse_binary64_5171` `rgt-mult-inverse_binary64_5170` `difference-of-squares_binary64_5162` `cancel-sign-sub_binary64_5158` `distribute-lft-out--_binary64_5145`

Counts

71 → 63

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	90	1123
1	196	1042
2	488	952
3	1085	945
4	2274	944
5	3902	944
6	4942	944
7	4898	944

prune65.0ms (1.5%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	62	1	63
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	63	2	65

Error

3.2b

Counts

65 → 2

Compiler

Compiled 1058 to 827 computations (21.8% saved)

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.5b	(*.f64 (cbrt.f64 x0) (-.f64 (/.f64 (cbrt.f64 x0) (-.f64 1 x1)) (cbrt.f64 x0)))
5.8b	(-.f64 (/.f64 (cbrt.f64 x0) (-.f64 1 x1)) (cbrt.f64 x0))

rewrite165.0ms (3.7%)

Algorithm

1×	rewrite-expression-head

Error

2.9b

Rules

47×	`add-sqr-sqrt_binary64_5215`
23×	`cbrt-prod_binary64_5224`
18×	`cancel-sign-sub-inv_binary64_5159`
15×	`*-un-lft-identity_binary64_5193`
12×	`difference-of-squares_binary64_5162`
11×	`add-cube-cbrt_binary64_5228`
10×	`associate-r_binary64_5133`
8×	`times-frac_binary64_5199`
7×	`distribute-rgt-in_binary64_5143` `distribute-lft-in_binary64_5142`
6×	`associate-l_binary64_5134`
4×	`add-log-exp_binary64_5232` `pow1_binary64_5254` `add-exp-log_binary64_5231`
3×	`add-cbrt-cube_binary64_5229` `sub-neg_binary64_5186`
2×	`flip3--_binary64_5197` `flip--_binary64_5168` `distribute-lft-out--_binary64_5145` `unswap-sqr_binary64_5161` `associate-*r/_binary64_5135`
1×	`diff-log_binary64_5285` `pow-prod-down_binary64_5264` `prod-exp_binary64_5242` `cbrt-unprod_binary64_5226` `*-commutative_binary64_5124`

Counts

2 → 69

Calls

2 calls:

33.0ms	(*.f64 (cbrt.f64 x0) (-.f64 (/.f64 (cbrt.f64 x0) (-.f64 1 x1)) (cbrt.f64 x0)))
29.0ms	(-.f64 (/.f64 (cbrt.f64 x0) (-.f64 1 x1)) (cbrt.f64 x0))

Compiler

Compiled 1902 to 897 computations (52.8% saved)

series871.0ms (19.7%)

Error

3.2b

Counts

2 → 18

Calls

2 calls:

509.0ms	(*.f64 (cbrt.f64 x0) (-.f64 (/.f64 (cbrt.f64 x0) (-.f64 1 x1)) (cbrt.f64 x0)))
339.0ms	(-.f64 (/.f64 (cbrt.f64 x0) (-.f64 1 x1)) (cbrt.f64 x0))

Compiler

Compiled 1060 to 846 computations (20.2% saved)

simplify125.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

654×	`unswap-sqr_binary64_5161`
372×	`*-commutative_binary64_5124`
287×	`unsub-neg_binary64_5187`
204×	`distribute-lft-in_binary64_5142`
203×	`distribute-rgt-in_binary64_5143`
193×	`associate-l_binary64_5134`
167×	`associate-r_binary64_5133`
138×	`distribute-rgt-out_binary64_5146`
114×	`distribute-lft-out_binary64_5144`
112×	`exp-prod_binary64_5245`
108×	`neg-sub0_binary64_5188`
105×	`sqr-pow_binary64_5165`
103×	`neg-mul-1_binary64_5189`
98×	`sub-neg_binary64_5186`
95×	`div-sub_binary64_5198`
93×	`associate-/l*_binary64_5138`
74×	`associate-*l/_binary64_5136` `+-commutative_binary64_5123`
71×	`log-prod_binary64_5279`
69×	`times-frac_binary64_5199`
64×	`distribute-rgt-neg-out_binary64_5153`
62×	`associate-+l+_binary64_5126`
61×	`*-lft-identity_binary64_5182`
55×	`associate-/r*_binary64_5137`
52×	`*-rgt-identity_binary64_5183`
51×	`difference-of-squares_binary64_5162` `distribute-lft-neg-out_binary64_5152`
49×	`associate-*r/_binary64_5135`
48×	`cube-prod_binary64_5221`
40×	`distribute-rgt-neg-in_binary64_5151`
35×	`distribute-lft-neg-in_binary64_5150`
34×	`cancel-sign-sub-inv_binary64_5159` `associate-+r+_binary64_5125`
27×	`exp-sum_binary64_5239`
23×	`log-pow_binary64_5282`
22×	`swap-sqr_binary64_5160`
19×	`cube-div_binary64_5222`
17×	`pow-sqr_binary64_5166`
16×	`distribute-rgt1-in_binary64_5149`
15×	`exp-diff_binary64_5241` `mul0-rgt_binary64_5176` `mul0-lft_binary64_5175`
14×	`unpow3_binary64_5259`
12×	`sub0-neg_binary64_5180` `associate-+l-_binary64_5128` `associate-+r-_binary64_5127`
10×	`cube-unmult_binary64_5230` `cube-mult_binary64_5223`
9×	`pow-plus_binary64_5256` `+-rgt-identity_binary64_5178` `associate-/r/_binary64_5139`
8×	`exp-neg_binary64_5240`
7×	`rem-sqrt-square_binary64_5206` `distribute-rgt-out--_binary64_5147`
5×	`/-rgt-identity_binary64_5184` `distribute-lft1-in_binary64_5148` `distribute-lft-out--_binary64_5145` `associate-/l/_binary64_5140`
4×	`mul-1-neg_binary64_5185`
3×	`unpow1/3_binary64_5260` `unpow1/2_binary64_5257`
2×	`unpow2_binary64_5258` `unpow1_binary64_5251` `difference-of-sqr--1_binary64_5164`
1×	`div-exp_binary64_5244` `1-exp_binary64_5237` `exp-1-e_binary64_5236` `rem-3cbrt-lft_binary64_5218` `rem-cbrt-cube_binary64_5217` `rem-cube-cbrt_binary64_5216` `sqr-neg_binary64_5207` `rem-square-sqrt_binary64_5205` `remove-double-div_binary64_5169` `difference-of-sqr-1_binary64_5163` `count-2_binary64_5141`
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` `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` `prod-exp_binary64_5242` `e-exp-1_binary64_5238` `exp-0_binary64_5235` `rem-log-exp_binary64_5234` `rem-exp-log_binary64_5233` `cube-neg_binary64_5220` `rem-3cbrt-rft_binary64_5219` `sqr-abs_binary64_5208` `remove-double-neg_binary64_5181` `--rgt-identity_binary64_5179` `+-lft-identity_binary64_5177` `div0_binary64_5174` `*-inverses_binary64_5173` `+-inverses_binary64_5172` `lft-mult-inverse_binary64_5171` `rgt-mult-inverse_binary64_5170` `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` `associate--r-_binary64_5132` `associate--l-_binary64_5131` `associate--l+_binary64_5130` `associate--r+_binary64_5129`

Counts

87 → 70

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	154	2074
1	374	1825
2	1325	1763
3	3187	1731
4	4995	1731
5	4914	1731

prune90.0ms (2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	68	2	70
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	70	2	72

Error

2.9b

Counts

72 → 2

Compiler

Compiled 1595 to 914 computations (42.7% saved)

localize13.0ms (0.3%)

Local error

Found 1 expressions with local error:

5.8b	(-.f64 (/.f64 (cbrt.f64 x0) (-.f64 1 x1)) (cbrt.f64 x0))

rewrite69.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

2.9b

Rules

19×	`add-sqr-sqrt_binary64_5215`
8×	`cbrt-prod_binary64_5224`
6×	`difference-of-squares_binary64_5162` `cancel-sign-sub-inv_binary64_5159`
5×	`*-un-lft-identity_binary64_5193`
4×	`times-frac_binary64_5199`
3×	`add-log-exp_binary64_5232` `add-cube-cbrt_binary64_5228`
1×	`diff-log_binary64_5285` `pow1_binary64_5254` `add-exp-log_binary64_5231` `add-cbrt-cube_binary64_5229` `flip3--_binary64_5197` `sub-neg_binary64_5186` `flip--_binary64_5168` `distribute-lft-out--_binary64_5145`

Counts

1 → 24

Calls

1 calls:

30.0ms

(-.f64 (/.f64 (cbrt.f64 x0) (-.f64 1 x1)) (cbrt.f64 x0))

Compiler

Compiled 782 to 355 computations (54.6% saved)

series370.0ms (8.4%)

Error

2.9b

Counts

1 → 9

Calls

1 calls:

357.0ms

(-.f64 (/.f64 (cbrt.f64 x0) (-.f64 1 x1)) (cbrt.f64 x0))

Compiler

Compiled 626 to 440 computations (29.7% saved)

simplify105.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

428×	`distribute-rgt-out_binary64_5146`
392×	`associate-l_binary64_5134`
390×	`unswap-sqr_binary64_5161`
311×	`associate-r_binary64_5133`
252×	`log-prod_binary64_5279`
187×	`cancel-sign-sub-inv_binary64_5159`
134×	`exp-prod_binary64_5245`
101×	`*-commutative_binary64_5124`
94×	`cube-prod_binary64_5221`
81×	`div-sub_binary64_5198`
80×	`sub-neg_binary64_5186`
79×	`distribute-lft-neg-out_binary64_5152`
71×	`distribute-rgt-neg-out_binary64_5153`
70×	`distribute-rgt-neg-in_binary64_5151`
68×	`sqr-pow_binary64_5165`
67×	`associate-/l*_binary64_5138`
66×	`distribute-lft-neg-in_binary64_5150`
59×	`+-commutative_binary64_5123`
56×	`distribute-lft-out_binary64_5144`
51×	`times-frac_binary64_5199`
49×	`associate-/r*_binary64_5137`
47×	`swap-sqr_binary64_5160` `distribute-rgt-out--_binary64_5147`
44×	`distribute-lft-in_binary64_5142`
43×	`distribute-rgt-in_binary64_5143`
41×	`unpow3_binary64_5259`
39×	`associate-+l+_binary64_5126`
36×	`unsub-neg_binary64_5187`
35×	`neg-sub0_binary64_5188`
34×	`exp-sum_binary64_5239`
31×	`neg-mul-1_binary64_5189`
30×	`difference-of-squares_binary64_5162` `distribute-rgt1-in_binary64_5149`
29×	`log-pow_binary64_5282` `cube-mult_binary64_5223`
27×	`rem-sqrt-square_binary64_5206`
26×	`cube-div_binary64_5222` `associate-*l/_binary64_5136`
22×	`-lft-identity_binary64_5182` `associate-r/_binary64_5135`
20×	`*-rgt-identity_binary64_5183`
19×	`cube-unmult_binary64_5230`
17×	`associate-+r+_binary64_5125`
15×	`pow-plus_binary64_5256`
13×	`distribute-lft1-in_binary64_5148`
12×	`sub0-neg_binary64_5180` `associate-+l-_binary64_5128`
11×	`exp-diff_binary64_5241` `associate-+r-_binary64_5127`
10×	`mul0-rgt_binary64_5176` `mul0-lft_binary64_5175`
9×	`associate-/r/_binary64_5139`
8×	`sqr-neg_binary64_5207`
7×	`/-rgt-identity_binary64_5184` `+-rgt-identity_binary64_5178` `pow-sqr_binary64_5166`
6×	`mul-1-neg_binary64_5185`
4×	`associate-/l/_binary64_5140`
3×	`distribute-lft-out--_binary64_5145`
2×	`unpow1/3_binary64_5260` `unpow1/2_binary64_5257` `cube-neg_binary64_5220` `distribute-neg-in_binary64_5154`
1×	`unpow2_binary64_5258` `unpow1_binary64_5251` `div-exp_binary64_5244` `exp-neg_binary64_5240` `1-exp_binary64_5237` `exp-1-e_binary64_5236` `rem-3cbrt-lft_binary64_5218` `rem-cbrt-cube_binary64_5217` `rem-cube-cbrt_binary64_5216` `rem-square-sqrt_binary64_5205` `remove-double-div_binary64_5169` `difference-of-sqr-1_binary64_5163`
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` `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` `prod-exp_binary64_5242` `e-exp-1_binary64_5238` `exp-0_binary64_5235` `rem-log-exp_binary64_5234` `rem-exp-log_binary64_5233` `rem-3cbrt-rft_binary64_5219` `sqr-abs_binary64_5208` `remove-double-neg_binary64_5181` `--rgt-identity_binary64_5179` `+-lft-identity_binary64_5177` `div0_binary64_5174` `*-inverses_binary64_5173` `+-inverses_binary64_5172` `lft-mult-inverse_binary64_5171` `rgt-mult-inverse_binary64_5170` `difference-of-sqr--1_binary64_5164` `cancel-sign-sub_binary64_5158` `distribute-neg-frac_binary64_5157` `distribute-frac-neg_binary64_5156` `distribute-neg-out_binary64_5155` `count-2_binary64_5141` `associate--r-_binary64_5132` `associate--l-_binary64_5131` `associate--l+_binary64_5130` `associate--r+_binary64_5129`

Counts

33 → 24

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	97	716
1	228	653
2	555	641
3	2320	638
4	4595	638
5	4969	638
6	5120	638

prune33.0ms (0.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	24	0	24
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	24	2	26

Error

2.9b

Counts

26 → 2

Compiler

Compiled 648 to 295 computations (54.5% saved)

regimes234.0ms (5.3%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

Compiler

Compiled 2931 to 2242 computations (23.5% saved)

bsearch2.0ms (0%)

Compiler: Compiled 3 to 4 computations (-33.3% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

8×	`*-commutative_binary64_5124`
7×	`+-commutative_binary64_5123`
4×	`sub-neg_binary64_5186`
2×	`neg-mul-1_binary64_5189` `neg-sub0_binary64_5188` `*-lft-identity_binary64_5182`
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` `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` `unsub-neg_binary64_5187` `mul-1-neg_binary64_5185` `/-rgt-identity_binary64_5184` `*-rgt-identity_binary64_5183` `remove-double-neg_binary64_5181` `sub0-neg_binary64_5180` `--rgt-identity_binary64_5179` `+-rgt-identity_binary64_5178` `+-lft-identity_binary64_5177` `cancel-sign-sub-inv_binary64_5159` `cancel-sign-sub_binary64_5158` `distribute-neg-frac_binary64_5157` `distribute-frac-neg_binary64_5156` `distribute-neg-out_binary64_5155` `distribute-neg-in_binary64_5154` `distribute-rgt-neg-out_binary64_5153` `distribute-lft-neg-out_binary64_5152` `distribute-rgt-neg-in_binary64_5151` `distribute-lft-neg-in_binary64_5150`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	64
1	44	64
2	51	64
3	55	64
4	57	64
5	56	64

end0.0ms (0%)

sample1.2s (27.1%)

Algorithm

1×

intervals

Results

239.0ms	8000×	pre	128	true
165.0ms	8000×	body	128	valid

Compiler

Compiled 663 to 501 computations (24.4% saved)

Iter	Nodes	Cost
0	10	20
1	18	20
2	27	20
3	44	20
4	62	20
5	103	20
6	184	20
7	315	20
8	534	20
9	798	20
10	840	20
11	928	20
12	902	20
13	890	20
14	894	20
15	898	20
16	902	20
17	802	20
0	2	2
1	2	2

Iter	Nodes	Cost
0	7	10
1	13	10
2	20	10
3	31	10
4	42	10
5	66	10
6	110	10
7	184	10
8	308	10
9	462	10
10	533	10
11	599	10
12	568	10
13	564	10
14	568	10
15	572	10
16	574	10
17	498	10

Iter	Nodes	Cost
0	10	20
1	18	20
2	27	20
3	44	20
4	62	20
5	103	20
6	184	20
7	315	20
8	534	20
9	798	20
10	840	20
11	928	20
12	902	20
13	890	20
14	894	20
15	898	20
16	902	20
17	802	20
0	2	2
1	2	2

Iter	Nodes	Cost
0	7	10
1	13	10
2	20	10
3	31	10
4	42	10
5	66	10
6	110	10
7	184	10
8	308	10
9	462	10
10	533	10
11	599	10
12	568	10
13	564	10
14	568	10
15	572	10
16	574	10
17	498	10

Details

analyze211.0ms (4.8%)

sample25.0ms (0.6%)

simplify49.0ms (1.1%)

prune1.0ms (0%)

localize5.0ms (0.1%)

rewrite75.0ms (1.7%)

series193.0ms (4.4%)

simplify92.0ms (2.1%)

prune30.0ms (0.7%)

localize7.0ms (0.1%)

rewrite115.0ms (2.6%)

series150.0ms (3.4%)

simplify116.0ms (2.6%)

prune65.0ms (1.5%)

localize9.0ms (0.2%)

rewrite165.0ms (3.7%)

series871.0ms (19.7%)

simplify125.0ms (2.8%)

prune90.0ms (2%)

localize13.0ms (0.3%)

rewrite69.0ms (1.6%)

series370.0ms (8.4%)

simplify105.0ms (2.4%)

prune33.0ms (0.7%)

regimes234.0ms (5.3%)

bsearch2.0ms (0%)

simplify5.0ms (0.1%)

end0.0ms (0%)

sample1.2s (27.1%)

Profiling

Iter	Nodes	Cost
0	10	20
1	18	20
2	27	20
3	44	20
4	62	20
5	103	20
6	184	20
7	315	20
8	534	20
9	798	20
10	840	20
11	928	20
12	902	20
13	890	20
14	894	20
15	898	20
16	902	20
17	802	20
0	2	2
1	2	2

Iter	Nodes	Cost
0	7	10
1	13	10
2	20	10
3	31	10
4	42	10
5	66	10
6	110	10
7	184	10
8	308	10
9	462	10
10	533	10
11	599	10
12	568	10
13	564	10
14	568	10
15	572	10
16	574	10
17	498	10