Details

analyze34.0ms (0.2%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
25%	74.9%	0.1%	3
25%	74.9%	0.1%	4
56.2%	43.7%	0.1%	5
65.6%	34.3%	0.1%	6
79.6%	20.3%	0.1%	7
83.5%	16.4%	0.1%	8
90.1%	9.8%	0.1%	9
91.9%	8%	0.1%	10
95.1%	4.8%	0.1%	11
96%	4%	0.1%	12
97.5%	2.4%	0.1%	13
97.9%	2%	0.1%	14

Compiler

Compiled 10 to 8 computations (20% saved)

sample21.0ms (0.1%)

Algorithm

1×

intervals

Results

12.0ms	255×	body	128	valid
0.0ms	1×	body	1024	valid

Compiler

Compiled 19 to 17 computations (10.5% saved)

simplify2.2s (10.3%)

Algorithm

1×	egg-herbie

Rules

387×	`cancel-sign-sub-inv_binary64_17094`
366×	`div-sub_binary64_17133`
332×	`exp-prod_binary64_17180`
222×	`sub-neg_binary64_17121`
200×	`associate-/l*_binary64_17073`
194×	`unsub-neg_binary64_17122`
139×	`associate-/r*_binary64_17072`
123×	`associate-r_binary64_17068`
115×	`distribute-rgt-out--_binary64_17082`
108×	`associate-/l/_binary64_17075`
104×	`distribute-rgt-out_binary64_17081`
82×	`distribute-rgt-in_binary64_17078`
69×	`neg-mul-1_binary64_17124`
68×	`times-frac_binary64_17134` `distribute-frac-neg_binary64_17091`
57×	`associate-/r/_binary64_17074`
44×	`distribute-rgt-neg-in_binary64_17086` `distribute-lft-in_binary64_17077`
39×	`associate-l_binary64_17069`
37×	`neg-sub0_binary64_17123`
33×	`distribute-neg-frac_binary64_17092`
30×	`distribute-lft-neg-in_binary64_17085`
29×	`associate--r+_binary64_17064`
28×	`associate--l-_binary64_17066`
27×	`*-commutative_binary64_17059`
26×	`associate-*l/_binary64_17071`
23×	`distribute-lft-neg-out_binary64_17087`
22×	`distribute-neg-in_binary64_17089`
21×	`associate-+l-_binary64_17063`
19×	`associate-*r/_binary64_17070`
18×	`associate-+r-_binary64_17062`
17×	`distribute-lft-out_binary64_17079` `+-commutative_binary64_17058`
16×	`sqr-neg_binary64_17142` `distribute-rgt-neg-out_binary64_17088` `associate-+r+_binary64_17060`
15×	`associate--l+_binary64_17065`
14×	`div0_binary64_17109` `distribute-lft-out--_binary64_17080`
13×	`associate--r-_binary64_17067`
11×	`distribute-rgt1-in_binary64_17084`
10×	`*-rgt-identity_binary64_17118` `remove-double-neg_binary64_17116`
9×	`*-lft-identity_binary64_17117` `sub0-neg_binary64_17115` `mul0-lft_binary64_17110` `associate-+l+_binary64_17061`
8×	`cube-div_binary64_17157` `cube-prod_binary64_17156` `mul0-rgt_binary64_17111` `distribute-neg-out_binary64_17090`
7×	`cube-unmult_binary64_17165` `/-rgt-identity_binary64_17119` `+-rgt-identity_binary64_17113`
6×	`--rgt-identity_binary64_17114`
5×	`*-inverses_binary64_17108`
3×	`mul-1-neg_binary64_17120` `swap-sqr_binary64_17095`
2×	`exp-diff_binary64_17176` `count-2_binary64_17076`
1×	`pow-plus_binary64_17191` `exp-sum_binary64_17174` `1-exp_binary64_17172` `+-inverses_binary64_17107` `pow-sqr_binary64_17101` `sqr-pow_binary64_17100`
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_17391` `erf-erfc_binary64_17390` `erf-odd_binary64_17389` `if-if-and-not_binary64_17388` `if-if-and_binary64_17387` `if-if-or-not_binary64_17386` `if-if-or_binary64_17385` `if-not_binary64_17384` `if-same_binary64_17383` `if-false_binary64_17382` `if-true_binary64_17381` `not-gte_binary64_17380` `not-lte_binary64_17379` `not-gt_binary64_17378` `not-lt_binary64_17377` `gte-same_binary64_17376` `lte-same_binary64_17375` `gt-same_binary64_17374` `lt-same_binary64_17373` `sinh---cosh_binary64_17320` `sinh-+-cosh_binary64_17319` `sinh-cosh_binary64_17318` `tanh-def-c_binary64_17317` `tanh-def-b_binary64_17316` `tanh-def-a_binary64_17315` `cosh-def_binary64_17314` `sinh-def_binary64_17313` `tan-neg_binary64_17260` `cos-neg_binary64_17259` `sin-neg_binary64_17258` `tan-0_binary64_17257` `cos-0_binary64_17256` `sin-0_binary64_17255` `hang-m-tan_binary64_17254` `hang-p-tan_binary64_17253` `hang-m0-tan_binary64_17252` `hang-p0-tan_binary64_17251` `hang-0m-tan_binary64_17250` `hang-0p-tan_binary64_17249` `tan-+PI/2_binary64_17248` `tan-+PI_binary64_17247` `tan-PI_binary64_17246` `tan-PI/3_binary64_17245` `tan-PI/4_binary64_17244` `tan-PI/6_binary64_17243` `cos-+PI/2_binary64_17242` `cos-+PI_binary64_17241` `cos-PI_binary64_17240` `cos-PI/2_binary64_17239` `cos-PI/3_binary64_17238` `cos-PI/4_binary64_17237` `cos-PI/6_binary64_17236` `sin-+PI/2_binary64_17235` `sin-+PI_binary64_17234` `sin-PI_binary64_17233` `sin-PI/2_binary64_17232` `sin-PI/3_binary64_17231` `sin-PI/4_binary64_17230` `sin-PI/6_binary64_17229` `sub-1-sin_binary64_17228` `sub-1-cos_binary64_17227` `-1-add-sin_binary64_17226` `-1-add-cos_binary64_17225` `1-sub-sin_binary64_17224` `1-sub-cos_binary64_17223` `cos-sin-sum_binary64_17222` `log-E_binary64_17218` `log-pow_binary64_17217` `log-rec_binary64_17216` `log-div_binary64_17215` `log-prod_binary64_17214` `pow-base-0_binary64_17212` `unpow1/3_binary64_17195` `unpow3_binary64_17194` `unpow2_binary64_17193` `unpow1/2_binary64_17192` `exp-to-pow_binary64_17190` `pow-base-1_binary64_17188` `unpow0_binary64_17187` `unpow1_binary64_17186` `unpow-1_binary64_17185` `exp-lft-cube_binary64_17184` `exp-lft-sqr_binary64_17183` `exp-cbrt_binary64_17182` `exp-sqrt_binary64_17181` `div-exp_binary64_17179` `rec-exp_binary64_17178` `prod-exp_binary64_17177` `exp-neg_binary64_17175` `e-exp-1_binary64_17173` `exp-1-e_binary64_17171` `exp-0_binary64_17170` `rem-log-exp_binary64_17169` `rem-exp-log_binary64_17168` `cube-mult_binary64_17158` `cube-neg_binary64_17155` `rem-3cbrt-rft_binary64_17154` `rem-3cbrt-lft_binary64_17153` `rem-cbrt-cube_binary64_17152` `rem-cube-cbrt_binary64_17151` `sqr-abs_binary64_17143` `rem-sqrt-square_binary64_17141` `rem-square-sqrt_binary64_17140` `+-lft-identity_binary64_17112` `lft-mult-inverse_binary64_17106` `rgt-mult-inverse_binary64_17105` `remove-double-div_binary64_17104` `difference-of-sqr--1_binary64_17099` `difference-of-sqr-1_binary64_17098` `difference-of-squares_binary64_17097` `unswap-sqr_binary64_17096` `cancel-sign-sub_binary64_17093` `distribute-lft1-in_binary64_17083`

Counts

1 → 2

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	18	13
2	35	13
3	72	13
4	139	13
5	243	13
6	641	13
7	2068	1
8	23	1

prune4.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	2	0	2
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	2	1	3

Error

0.0b

Counts

3 → 1

Compiler

Compiled 19 to 15 computations (21.1% saved)

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

0.0b	(/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))

rewrite81.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

58×	`*-un-lft-identity_binary64_17128`
40×	`add-sqr-sqrt_binary64_17150`
30×	`times-frac_binary64_17134`
19×	`distribute-lft-out--_binary64_17080`
14×	`add-cube-cbrt_binary64_17163`
13×	`difference-of-squares_binary64_17097`
6×	`distribute-lft-out_binary64_17079` `associate-/r*_binary64_17072`
5×	`associate-/l*_binary64_17073`
3×	`add-exp-log_binary64_17166` `add-cbrt-cube_binary64_17164`
2×	`flip3--_binary64_17132` `associate-/l/_binary64_17075` `flip--_binary64_17103` `associate-/r/_binary64_17074`
1×	`pow1_binary64_17189` `div-exp_binary64_17179` `add-log-exp_binary64_17167` `cbrt-undiv_binary64_17162` `frac-2neg_binary64_17139` `div-sub_binary64_17133` `clear-num_binary64_17127` `div-inv_binary64_17125`

Counts

1 → 58

Calls

1 calls:

11.0ms

(/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))

Compiler

Compiled 1117 to 472 computations (57.7% saved)

series293.0ms (1.4%)

Error

0.0b

Counts

1 → 22

Calls

1 calls:

251.0ms

(/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))

Compiler

Compiled 1434 to 1145 computations (20.2% saved)

simplify313.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

574×	`times-frac_binary64_17134`
426×	`associate-/l*_binary64_17073`
396×	`associate-/r*_binary64_17072`
285×	`distribute-rgt-in_binary64_17078`
241×	`distribute-lft-in_binary64_17077`
208×	`sub-neg_binary64_17121`
189×	`cancel-sign-sub-inv_binary64_17094`
165×	`associate-/r/_binary64_17074`
142×	`distribute-neg-in_binary64_17089`
137×	`associate-/l/_binary64_17075`
101×	`+-commutative_binary64_17058`
94×	`associate-+r+_binary64_17060`
74×	`associate-+l+_binary64_17061`
72×	`neg-mul-1_binary64_17124` `neg-sub0_binary64_17123`
71×	`div-sub_binary64_17133`
65×	`associate--l+_binary64_17065`
62×	`associate--r+_binary64_17064`
60×	`distribute-neg-frac_binary64_17092`
50×	`*-commutative_binary64_17059`
45×	`distribute-rgt-neg-in_binary64_17086` `distribute-rgt-out_binary64_17081`
43×	`sqr-pow_binary64_17100`
41×	`unsub-neg_binary64_17122`
35×	`distribute-lft-neg-in_binary64_17085`
30×	`associate-*l/_binary64_17071`
29×	`distribute-lft-neg-out_binary64_17087` `associate-*r/_binary64_17070`
25×	`associate-r_binary64_17068`
16×	`distribute-rgt-neg-out_binary64_17088`
15×	`associate-l_binary64_17069`
14×	`*-rgt-identity_binary64_17118`
12×	`pow-sqr_binary64_17101`
9×	`div-exp_binary64_17179` `prod-exp_binary64_17177`
8×	`pow-plus_binary64_17191` `/-rgt-identity_binary64_17119` `distribute-rgt-out--_binary64_17082`
7×	`distribute-rgt1-in_binary64_17084`
6×	`unpow3_binary64_17194` `cube-unmult_binary64_17165` `cube-mult_binary64_17158`
5×	`log-div_binary64_17215` `cube-prod_binary64_17156`
4×	`unpow2_binary64_17193` `unpow1_binary64_17186` `cube-div_binary64_17157`
3×	`rec-exp_binary64_17178` `difference-of-squares_binary64_17097` `swap-sqr_binary64_17095` `associate--r-_binary64_17067`
2×	`log-prod_binary64_17214` `remove-double-neg_binary64_17116` `unswap-sqr_binary64_17096` `distribute-lft1-in_binary64_17083` `distribute-lft-out_binary64_17079`
1×	`log-rec_binary64_17216` `exp-diff_binary64_17176` `exp-sum_binary64_17174` `1-exp_binary64_17172` `rem-log-exp_binary64_17169` `mul-1-neg_binary64_17120` `-lft-identity_binary64_17117` `sub0-neg_binary64_17115` `-inverses_binary64_17108`
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_17391` `erf-erfc_binary64_17390` `erf-odd_binary64_17389` `if-if-and-not_binary64_17388` `if-if-and_binary64_17387` `if-if-or-not_binary64_17386` `if-if-or_binary64_17385` `if-not_binary64_17384` `if-same_binary64_17383` `if-false_binary64_17382` `if-true_binary64_17381` `not-gte_binary64_17380` `not-lte_binary64_17379` `not-gt_binary64_17378` `not-lt_binary64_17377` `gte-same_binary64_17376` `lte-same_binary64_17375` `gt-same_binary64_17374` `lt-same_binary64_17373` `sinh---cosh_binary64_17320` `sinh-+-cosh_binary64_17319` `sinh-cosh_binary64_17318` `tanh-def-c_binary64_17317` `tanh-def-b_binary64_17316` `tanh-def-a_binary64_17315` `cosh-def_binary64_17314` `sinh-def_binary64_17313` `tan-neg_binary64_17260` `cos-neg_binary64_17259` `sin-neg_binary64_17258` `tan-0_binary64_17257` `cos-0_binary64_17256` `sin-0_binary64_17255` `hang-m-tan_binary64_17254` `hang-p-tan_binary64_17253` `hang-m0-tan_binary64_17252` `hang-p0-tan_binary64_17251` `hang-0m-tan_binary64_17250` `hang-0p-tan_binary64_17249` `tan-+PI/2_binary64_17248` `tan-+PI_binary64_17247` `tan-PI_binary64_17246` `tan-PI/3_binary64_17245` `tan-PI/4_binary64_17244` `tan-PI/6_binary64_17243` `cos-+PI/2_binary64_17242` `cos-+PI_binary64_17241` `cos-PI_binary64_17240` `cos-PI/2_binary64_17239` `cos-PI/3_binary64_17238` `cos-PI/4_binary64_17237` `cos-PI/6_binary64_17236` `sin-+PI/2_binary64_17235` `sin-+PI_binary64_17234` `sin-PI_binary64_17233` `sin-PI/2_binary64_17232` `sin-PI/3_binary64_17231` `sin-PI/4_binary64_17230` `sin-PI/6_binary64_17229` `sub-1-sin_binary64_17228` `sub-1-cos_binary64_17227` `-1-add-sin_binary64_17226` `-1-add-cos_binary64_17225` `1-sub-sin_binary64_17224` `1-sub-cos_binary64_17223` `cos-sin-sum_binary64_17222` `log-E_binary64_17218` `log-pow_binary64_17217` `pow-base-0_binary64_17212` `unpow1/3_binary64_17195` `unpow1/2_binary64_17192` `exp-to-pow_binary64_17190` `pow-base-1_binary64_17188` `unpow0_binary64_17187` `unpow-1_binary64_17185` `exp-lft-cube_binary64_17184` `exp-lft-sqr_binary64_17183` `exp-cbrt_binary64_17182` `exp-sqrt_binary64_17181` `exp-prod_binary64_17180` `exp-neg_binary64_17175` `e-exp-1_binary64_17173` `exp-1-e_binary64_17171` `exp-0_binary64_17170` `rem-exp-log_binary64_17168` `cube-neg_binary64_17155` `rem-3cbrt-rft_binary64_17154` `rem-3cbrt-lft_binary64_17153` `rem-cbrt-cube_binary64_17152` `rem-cube-cbrt_binary64_17151` `sqr-abs_binary64_17143` `sqr-neg_binary64_17142` `rem-sqrt-square_binary64_17141` `rem-square-sqrt_binary64_17140` `--rgt-identity_binary64_17114` `+-rgt-identity_binary64_17113` `+-lft-identity_binary64_17112` `mul0-rgt_binary64_17111` `mul0-lft_binary64_17110` `div0_binary64_17109` `+-inverses_binary64_17107` `lft-mult-inverse_binary64_17106` `rgt-mult-inverse_binary64_17105` `remove-double-div_binary64_17104` `difference-of-sqr--1_binary64_17099` `difference-of-sqr-1_binary64_17098` `cancel-sign-sub_binary64_17093` `distribute-frac-neg_binary64_17091` `distribute-neg-out_binary64_17090` `distribute-lft-out--_binary64_17080` `count-2_binary64_17076` `associate--l-_binary64_17066` `associate-+l-_binary64_17063` `associate-+r-_binary64_17062`

Counts

80 → 197

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	210	2339
1	583	2207
2	2051	2102

prune261.0ms (1.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	194	3	197
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	194	4	198

Error

0.0b

Counts

198 → 4

Compiler

Compiled 4837 to 2314 computations (52.2% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (-.f64 x y))
0.6b	(cbrt.f64 (-.f64 2 (+.f64 y x)))
0.6b	(cbrt.f64 (-.f64 2 (+.f64 x y)))
0.6b	(cbrt.f64 (-.f64 2 (+.f64 x y)))

rewrite151.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

25×	`*-un-lft-identity_binary64_17128`
23×	`cbrt-prod_binary64_17159`
16×	`add-sqr-sqrt_binary64_17150`
8×	`add-cube-cbrt_binary64_17163` `cbrt-div_binary64_17160`
7×	`distribute-lft-out--_binary64_17080`
4×	`pow1/3_binary64_17210` `pow1_binary64_17189` `add-log-exp_binary64_17167` `add-exp-log_binary64_17166` `add-cbrt-cube_binary64_17164` `flip3--_binary64_17132` `flip--_binary64_17103` `difference-of-squares_binary64_17097`
3×	`distribute-lft-out_binary64_17079`

Counts

4 → 63

Calls

4 calls:

5.0ms	(cbrt.f64 (-.f64 2 (+.f64 x y)))
5.0ms	(cbrt.f64 (-.f64 2 (+.f64 x y)))
5.0ms	(cbrt.f64 (-.f64 2 (+.f64 y x)))
3.0ms	(cbrt.f64 (-.f64 x y))

Compiler

Compiled 2698 to 1137 computations (57.9% saved)

series665.0ms (3.1%)

Error

0.0b

Counts

4 → 32

Calls

4 calls:

163.0ms	(cbrt.f64 (-.f64 2 (+.f64 x y)))
159.0ms	(cbrt.f64 (-.f64 2 (+.f64 x y)))
156.0ms	(cbrt.f64 (-.f64 2 (+.f64 y x)))
127.0ms	(cbrt.f64 (-.f64 x y))

Compiler

Compiled 3958 to 2484 computations (37.2% saved)

simplify150.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

592×	`distribute-rgt-in_binary64_17078`
543×	`distribute-lft-in_binary64_17077`
247×	`associate--r+_binary64_17064`
243×	`cancel-sign-sub-inv_binary64_17094`
147×	`sub-neg_binary64_17121`
125×	`distribute-rgt-neg-in_binary64_17086`
120×	`distribute-neg-in_binary64_17089` `distribute-lft-neg-in_binary64_17085`
114×	`sqr-pow_binary64_17100`
110×	`associate-r_binary64_17068`
92×	`associate-l_binary64_17069`
91×	`associate-+r+_binary64_17060`
90×	`associate-+l+_binary64_17061`
85×	`associate-+l-_binary64_17063`
76×	`pow-sqr_binary64_17101`
70×	`*-commutative_binary64_17059`
66×	`associate--l-_binary64_17066`
65×	`associate-/r*_binary64_17072`
58×	`neg-sub0_binary64_17123` `associate-+r-_binary64_17062`
54×	`times-frac_binary64_17134`
53×	`distribute-lft-neg-out_binary64_17087`
51×	`neg-mul-1_binary64_17124` `unswap-sqr_binary64_17096`
48×	`distribute-rgt-neg-out_binary64_17088`
47×	`associate-/l/_binary64_17075` `+-commutative_binary64_17058`
40×	`associate--l+_binary64_17065`
38×	`unsub-neg_binary64_17122`
33×	`difference-of-squares_binary64_17097`
31×	`exp-sum_binary64_17174`
30×	`exp-prod_binary64_17180` `distribute-rgt-out_binary64_17081`
29×	`associate-/l*_binary64_17073`
25×	`associate-*l/_binary64_17071`
22×	`associate-*r/_binary64_17070`
21×	`associate-/r/_binary64_17074`
17×	`cube-unmult_binary64_17165` `sub0-neg_binary64_17115`
16×	`exp-diff_binary64_17176`
15×	`+-rgt-identity_binary64_17113`
13×	`div-sub_binary64_17133`
12×	`pow-plus_binary64_17191` `associate--r-_binary64_17067`
10×	`unpow1/3_binary64_17195`
7×	`log-div_binary64_17215` `exp-to-pow_binary64_17190`
6×	`swap-sqr_binary64_17095`
5×	`unpow3_binary64_17194` `rem-exp-log_binary64_17168` `cube-mult_binary64_17158`
4×	`exp-neg_binary64_17175` `mul-1-neg_binary64_17120` `distribute-lft-out_binary64_17079`
3×	`log-prod_binary64_17214` `unpow2_binary64_17193` `unpow1_binary64_17186` `cube-prod_binary64_17156` `rem-3cbrt-lft_binary64_17153` `rem-sqrt-square_binary64_17141` `count-2_binary64_17076`
2×	`log-pow_binary64_17217` `log-rec_binary64_17216` `sqr-neg_binary64_17142` `remove-double-neg_binary64_17116` `--rgt-identity_binary64_17114` `distribute-frac-neg_binary64_17091`
1×	`1-exp_binary64_17172` `rem-log-exp_binary64_17169` `cube-div_binary64_17157` `-rgt-identity_binary64_17118` `mul0-lft_binary64_17110` `-inverses_binary64_17108` `rgt-mult-inverse_binary64_17105` `distribute-rgt1-in_binary64_17084`
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_17391` `erf-erfc_binary64_17390` `erf-odd_binary64_17389` `if-if-and-not_binary64_17388` `if-if-and_binary64_17387` `if-if-or-not_binary64_17386` `if-if-or_binary64_17385` `if-not_binary64_17384` `if-same_binary64_17383` `if-false_binary64_17382` `if-true_binary64_17381` `not-gte_binary64_17380` `not-lte_binary64_17379` `not-gt_binary64_17378` `not-lt_binary64_17377` `gte-same_binary64_17376` `lte-same_binary64_17375` `gt-same_binary64_17374` `lt-same_binary64_17373` `sinh---cosh_binary64_17320` `sinh-+-cosh_binary64_17319` `sinh-cosh_binary64_17318` `tanh-def-c_binary64_17317` `tanh-def-b_binary64_17316` `tanh-def-a_binary64_17315` `cosh-def_binary64_17314` `sinh-def_binary64_17313` `tan-neg_binary64_17260` `cos-neg_binary64_17259` `sin-neg_binary64_17258` `tan-0_binary64_17257` `cos-0_binary64_17256` `sin-0_binary64_17255` `hang-m-tan_binary64_17254` `hang-p-tan_binary64_17253` `hang-m0-tan_binary64_17252` `hang-p0-tan_binary64_17251` `hang-0m-tan_binary64_17250` `hang-0p-tan_binary64_17249` `tan-+PI/2_binary64_17248` `tan-+PI_binary64_17247` `tan-PI_binary64_17246` `tan-PI/3_binary64_17245` `tan-PI/4_binary64_17244` `tan-PI/6_binary64_17243` `cos-+PI/2_binary64_17242` `cos-+PI_binary64_17241` `cos-PI_binary64_17240` `cos-PI/2_binary64_17239` `cos-PI/3_binary64_17238` `cos-PI/4_binary64_17237` `cos-PI/6_binary64_17236` `sin-+PI/2_binary64_17235` `sin-+PI_binary64_17234` `sin-PI_binary64_17233` `sin-PI/2_binary64_17232` `sin-PI/3_binary64_17231` `sin-PI/4_binary64_17230` `sin-PI/6_binary64_17229` `sub-1-sin_binary64_17228` `sub-1-cos_binary64_17227` `-1-add-sin_binary64_17226` `-1-add-cos_binary64_17225` `1-sub-sin_binary64_17224` `1-sub-cos_binary64_17223` `cos-sin-sum_binary64_17222` `log-E_binary64_17218` `pow-base-0_binary64_17212` `unpow1/2_binary64_17192` `pow-base-1_binary64_17188` `unpow0_binary64_17187` `unpow-1_binary64_17185` `exp-lft-cube_binary64_17184` `exp-lft-sqr_binary64_17183` `exp-cbrt_binary64_17182` `exp-sqrt_binary64_17181` `div-exp_binary64_17179` `rec-exp_binary64_17178` `prod-exp_binary64_17177` `e-exp-1_binary64_17173` `exp-1-e_binary64_17171` `exp-0_binary64_17170` `cube-neg_binary64_17155` `rem-3cbrt-rft_binary64_17154` `rem-cbrt-cube_binary64_17152` `rem-cube-cbrt_binary64_17151` `sqr-abs_binary64_17143` `rem-square-sqrt_binary64_17140` `/-rgt-identity_binary64_17119` `*-lft-identity_binary64_17117` `+-lft-identity_binary64_17112` `mul0-rgt_binary64_17111` `div0_binary64_17109` `+-inverses_binary64_17107` `lft-mult-inverse_binary64_17106` `remove-double-div_binary64_17104` `difference-of-sqr--1_binary64_17099` `difference-of-sqr-1_binary64_17098` `cancel-sign-sub_binary64_17093` `distribute-neg-frac_binary64_17092` `distribute-neg-out_binary64_17090` `distribute-lft1-in_binary64_17083` `distribute-rgt-out--_binary64_17082` `distribute-lft-out--_binary64_17080`

Counts

95 → 273

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	143	1456
1	279	1426
2	657	1411
3	1871	1306

prune692.0ms (3.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	273	0	273
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	273	4	277

Error

0.0b

Counts

277 → 4

Compiler

Compiled 11987 to 5409 computations (54.9% saved)

localize8.0ms (0%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (-.f64 x y) (-.f64 2 (+.f64 y x)))
0.0b	(pow.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 y x))) 3)
9.4b	(cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 y x))) 3))

rewrite412.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

258×	`*-un-lft-identity_binary64_17128`
180×	`add-sqr-sqrt_binary64_17150`
150×	`times-frac_binary64_17134`
83×	`distribute-lft-out--_binary64_17080`
78×	`cbrt-prod_binary64_17159`
72×	`unpow-prod-down_binary64_17207` `cube-prod_binary64_17156`
66×	`add-cube-cbrt_binary64_17163`
57×	`difference-of-squares_binary64_17097`
26×	`distribute-lft-out_binary64_17079`
10×	`associate-/r/_binary64_17074`
8×	`add-exp-log_binary64_17166` `add-cbrt-cube_binary64_17164`
6×	`flip3--_binary64_17132` `flip--_binary64_17103` `associate-/r*_binary64_17072`
5×	`div-inv_binary64_17125` `associate-/l*_binary64_17073`
4×	`pow1_binary64_17189`
3×	`add-log-exp_binary64_17167` `pow-unpow_binary64_17205`
2×	`cube-div_binary64_17157` `unpow3_binary64_17194` `cube-mult_binary64_17158` `sqr-pow_binary64_17100` `div-exp_binary64_17179` `pow-exp_binary64_17196` `rem-cube-cbrt_binary64_17151` `cbrt-undiv_binary64_17162` `associate-/l/_binary64_17075`
1×	`pow1/3_binary64_17210` `cbrt-div_binary64_17160` `rem-cbrt-cube_binary64_17152` `pow-pow_binary64_17200` `pow-to-exp_binary64_17197` `frac-2neg_binary64_17139` `div-sub_binary64_17133` `clear-num_binary64_17127`

Counts

3 → 238

Calls

3 calls:

18.0ms	(pow.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 y x))) 3)
16.0ms	(cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 y x))) 3))
11.0ms	(/.f64 (-.f64 x y) (-.f64 2 (+.f64 y x)))

Compiler

Compiled 5946 to 3109 computations (47.7% saved)

series1.2s (5.8%)

Error

0.0b

Counts

3 → 68

Calls

3 calls:

554.0ms	(pow.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 y x))) 3)
289.0ms	(cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 y x))) 3))
248.0ms	(/.f64 (-.f64 x y) (-.f64 2 (+.f64 y x)))

Compiler

Compiled 5356 to 4356 computations (18.7% saved)

simplify807.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

373×	`times-frac_binary64_17134`
314×	`associate-/l*_binary64_17073`
279×	`associate-/r*_binary64_17072`
195×	`associate-*r/_binary64_17070`
190×	`associate-*l/_binary64_17071`
151×	`associate-r_binary64_17068`
129×	`sqr-pow_binary64_17100`
125×	`sub-neg_binary64_17121`
119×	`+-commutative_binary64_17058`
95×	`associate-l_binary64_17069`
81×	`*-commutative_binary64_17059`
77×	`associate-+r+_binary64_17060`
65×	`distribute-neg-in_binary64_17089`
59×	`pow-sqr_binary64_17101`
58×	`cancel-sign-sub-inv_binary64_17094`
57×	`unpow3_binary64_17194` `cube-mult_binary64_17158`
56×	`distribute-rgt-in_binary64_17078` `associate-/l/_binary64_17075`
53×	`distribute-lft-in_binary64_17077`
50×	`associate-/r/_binary64_17074`
43×	`cube-div_binary64_17157`
42×	`rem-cbrt-cube_binary64_17152` `neg-sub0_binary64_17123`
40×	`neg-mul-1_binary64_17124`
31×	`div-sub_binary64_17133`
29×	`unswap-sqr_binary64_17096`
24×	`associate--r+_binary64_17064`
23×	`associate--l+_binary64_17065`
12×	`distribute-rgt-neg-in_binary64_17086`
8×	`log-prod_binary64_17214` `exp-prod_binary64_17180` `distribute-lft-neg-in_binary64_17085` `distribute-rgt-out_binary64_17081`
7×	`cube-prod_binary64_17156` `/-rgt-identity_binary64_17119`
6×	`log-div_binary64_17215` `pow-plus_binary64_17191` `*-rgt-identity_binary64_17118`
5×	`distribute-neg-frac_binary64_17092`
4×	`unpow2_binary64_17193` `distribute-lft-neg-out_binary64_17087`
3×	`log-pow_binary64_17217` `rem-cube-cbrt_binary64_17151` `rem-sqrt-square_binary64_17141` `mul-1-neg_binary64_17120` `distribute-rgt-out--_binary64_17082`
2×	`pow-base-1_binary64_17188` `rem-square-sqrt_binary64_17140` `difference-of-squares_binary64_17097` `swap-sqr_binary64_17095`
1×	`unpow1_binary64_17186` `div-exp_binary64_17179` `rec-exp_binary64_17178` `prod-exp_binary64_17177` `exp-diff_binary64_17176` `1-exp_binary64_17172` `cube-unmult_binary64_17165` `rem-3cbrt-lft_binary64_17153` `-lft-identity_binary64_17117` `-inverses_binary64_17108` `distribute-lft-out_binary64_17079` `count-2_binary64_17076`
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_17391` `erf-erfc_binary64_17390` `erf-odd_binary64_17389` `if-if-and-not_binary64_17388` `if-if-and_binary64_17387` `if-if-or-not_binary64_17386` `if-if-or_binary64_17385` `if-not_binary64_17384` `if-same_binary64_17383` `if-false_binary64_17382` `if-true_binary64_17381` `not-gte_binary64_17380` `not-lte_binary64_17379` `not-gt_binary64_17378` `not-lt_binary64_17377` `gte-same_binary64_17376` `lte-same_binary64_17375` `gt-same_binary64_17374` `lt-same_binary64_17373` `sinh---cosh_binary64_17320` `sinh-+-cosh_binary64_17319` `sinh-cosh_binary64_17318` `tanh-def-c_binary64_17317` `tanh-def-b_binary64_17316` `tanh-def-a_binary64_17315` `cosh-def_binary64_17314` `sinh-def_binary64_17313` `tan-neg_binary64_17260` `cos-neg_binary64_17259` `sin-neg_binary64_17258` `tan-0_binary64_17257` `cos-0_binary64_17256` `sin-0_binary64_17255` `hang-m-tan_binary64_17254` `hang-p-tan_binary64_17253` `hang-m0-tan_binary64_17252` `hang-p0-tan_binary64_17251` `hang-0m-tan_binary64_17250` `hang-0p-tan_binary64_17249` `tan-+PI/2_binary64_17248` `tan-+PI_binary64_17247` `tan-PI_binary64_17246` `tan-PI/3_binary64_17245` `tan-PI/4_binary64_17244` `tan-PI/6_binary64_17243` `cos-+PI/2_binary64_17242` `cos-+PI_binary64_17241` `cos-PI_binary64_17240` `cos-PI/2_binary64_17239` `cos-PI/3_binary64_17238` `cos-PI/4_binary64_17237` `cos-PI/6_binary64_17236` `sin-+PI/2_binary64_17235` `sin-+PI_binary64_17234` `sin-PI_binary64_17233` `sin-PI/2_binary64_17232` `sin-PI/3_binary64_17231` `sin-PI/4_binary64_17230` `sin-PI/6_binary64_17229` `sub-1-sin_binary64_17228` `sub-1-cos_binary64_17227` `-1-add-sin_binary64_17226` `-1-add-cos_binary64_17225` `1-sub-sin_binary64_17224` `1-sub-cos_binary64_17223` `cos-sin-sum_binary64_17222` `log-E_binary64_17218` `log-rec_binary64_17216` `pow-base-0_binary64_17212` `unpow1/3_binary64_17195` `unpow1/2_binary64_17192` `exp-to-pow_binary64_17190` `unpow0_binary64_17187` `unpow-1_binary64_17185` `exp-lft-cube_binary64_17184` `exp-lft-sqr_binary64_17183` `exp-cbrt_binary64_17182` `exp-sqrt_binary64_17181` `exp-neg_binary64_17175` `exp-sum_binary64_17174` `e-exp-1_binary64_17173` `exp-1-e_binary64_17171` `exp-0_binary64_17170` `rem-log-exp_binary64_17169` `rem-exp-log_binary64_17168` `cube-neg_binary64_17155` `rem-3cbrt-rft_binary64_17154` `sqr-abs_binary64_17143` `sqr-neg_binary64_17142` `unsub-neg_binary64_17122` `remove-double-neg_binary64_17116` `sub0-neg_binary64_17115` `--rgt-identity_binary64_17114` `+-rgt-identity_binary64_17113` `+-lft-identity_binary64_17112` `mul0-rgt_binary64_17111` `mul0-lft_binary64_17110` `div0_binary64_17109` `+-inverses_binary64_17107` `lft-mult-inverse_binary64_17106` `rgt-mult-inverse_binary64_17105` `remove-double-div_binary64_17104` `difference-of-sqr--1_binary64_17099` `difference-of-sqr-1_binary64_17098` `cancel-sign-sub_binary64_17093` `distribute-frac-neg_binary64_17091` `distribute-neg-out_binary64_17090` `distribute-rgt-neg-out_binary64_17088` `distribute-rgt1-in_binary64_17084` `distribute-lft1-in_binary64_17083` `distribute-lft-out--_binary64_17080` `associate--r-_binary64_17067` `associate--l-_binary64_17066` `associate-+l-_binary64_17063` `associate-+r-_binary64_17062` `associate-+l+_binary64_17061`

Counts

306 → 579

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	526	10248
1	1593	9600

prune1.1s (5%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	579	0	579
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	579	4	583

Error

0.0b

Counts

583 → 4

Compiler

Compiled 15990 to 8241 computations (48.5% saved)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 (+.f64 (/.f64 x (-.f64 2 y)) 1) (/.f64 x (-.f64 2 y)))
0.1b	(*.f64 (+.f64 (/.f64 x (-.f64 2 y)) 1) (/.f64 x (-.f64 2 y)))
2.4b	(.f64 (/.f64 y (-.f64 2 y)) (.f64 (+.f64 (/.f64 x (-.f64 2 y)) 1) (/.f64 x (-.f64 2 y))))
2.4b	(-.f64 (.f64 (+.f64 (/.f64 x (-.f64 2 y)) 1) (/.f64 x (-.f64 2 y))) (.f64 (/.f64 y (-.f64 2 y)) (*.f64 (+.f64 (/.f64 x (-.f64 2 y)) 1) (/.f64 x (-.f64 2 y)))))

rewrite1.2s (5.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

84×	`frac-times_binary64_17138`
63×	`associate-*r/_binary64_17070`
61×	`add-sqr-sqrt_binary64_17150` `associate-*l/_binary64_17071`
55×	`frac-sub_binary64_17137` `*-un-lft-identity_binary64_17128`
54×	`flip3-+_binary64_17131` `flip-+_binary64_17102`
47×	`times-frac_binary64_17134`
43×	`associate-r_binary64_17068`
35×	`add-exp-log_binary64_17166` `add-cbrt-cube_binary64_17164`
33×	`add-cube-cbrt_binary64_17163`
29×	`associate-l_binary64_17069`
14×	`prod-exp_binary64_17177` `cbrt-unprod_binary64_17161`
13×	`pow1_binary64_17189`
9×	`difference-of-squares_binary64_17097` `distribute-lft-out--_binary64_17080`
7×	`div-exp_binary64_17179` `cbrt-undiv_binary64_17162`
6×	`add-log-exp_binary64_17167` `sub-div_binary64_17135` `associate-/r/_binary64_17074`
5×	`pow-prod-down_binary64_17199`
4×	`flip3--_binary64_17132` `flip--_binary64_17103` `unswap-sqr_binary64_17096`
3×	`div-inv_binary64_17125` `*-commutative_binary64_17059`
2×	`distribute-lft-out_binary64_17079`
1×	`diff-log_binary64_17220` `sub-neg_binary64_17121` `cancel-sign-sub-inv_binary64_17094`

Counts

4 → 218

Calls

4 calls:

28.0ms	(*.f64 (+.f64 (/.f64 x (-.f64 2 y)) 1) (/.f64 x (-.f64 2 y)))
27.0ms	(.f64 (/.f64 y (-.f64 2 y)) (.f64 (+.f64 (/.f64 x (-.f64 2 y)) 1) (/.f64 x (-.f64 2 y))))
24.0ms	(-.f64 (.f64 (+.f64 (/.f64 x (-.f64 2 y)) 1) (/.f64 x (-.f64 2 y))) (.f64 (/.f64 y (-.f64 2 y)) (*.f64 (+.f64 (/.f64 x (-.f64 2 y)) 1) (/.f64 x (-.f64 2 y)))))
22.0ms	(*.f64 (+.f64 (/.f64 x (-.f64 2 y)) 1) (/.f64 x (-.f64 2 y)))

Compiler

Compiled 14321 to 10215 computations (28.7% saved)

series1.5s (7.1%)

Error

0.0b

Counts

4 → 42

Calls

4 calls:

612.0ms	(-.f64 (.f64 (+.f64 (/.f64 x (-.f64 2 y)) 1) (/.f64 x (-.f64 2 y))) (.f64 (/.f64 y (-.f64 2 y)) (*.f64 (+.f64 (/.f64 x (-.f64 2 y)) 1) (/.f64 x (-.f64 2 y)))))
332.0ms	(.f64 (/.f64 y (-.f64 2 y)) (.f64 (+.f64 (/.f64 x (-.f64 2 y)) 1) (/.f64 x (-.f64 2 y))))
264.0ms	(*.f64 (+.f64 (/.f64 x (-.f64 2 y)) 1) (/.f64 x (-.f64 2 y)))
246.0ms	(*.f64 (+.f64 (/.f64 x (-.f64 2 y)) 1) (/.f64 x (-.f64 2 y)))

Compiler

Compiled 4200 to 3097 computations (26.3% saved)

simplify1.5s (6.9%)

Algorithm

1×	egg-herbie

Rules

521×	`*-commutative_binary64_17059`
345×	`distribute-rgt-in_binary64_17078`
339×	`distribute-lft-in_binary64_17077`
241×	`associate-*l/_binary64_17071`
236×	`cancel-sign-sub-inv_binary64_17094`
232×	`distribute-rgt-neg-in_binary64_17086`
205×	`associate-*r/_binary64_17070`
165×	`distribute-lft-neg-in_binary64_17085`
163×	`associate-r_binary64_17068`
147×	`associate-/l*_binary64_17073`
116×	`+-commutative_binary64_17058`
104×	`associate-l_binary64_17069`
97×	`sub-neg_binary64_17121`
87×	`neg-sub0_binary64_17123`
86×	`neg-mul-1_binary64_17124`
84×	`times-frac_binary64_17134`
66×	`distribute-lft-neg-out_binary64_17087`
60×	`associate-/r*_binary64_17072`
39×	`distribute-rgt-out--_binary64_17082`
38×	`associate-+l+_binary64_17061`
29×	`associate-/l/_binary64_17075`
28×	`associate-+r+_binary64_17060`
25×	`sqr-pow_binary64_17100`
22×	`associate--l+_binary64_17065`
20×	`associate--r+_binary64_17064`
15×	`distribute-neg-in_binary64_17089`
14×	`associate-/r/_binary64_17074`
12×	`distribute-neg-frac_binary64_17092`
11×	`pow-sqr_binary64_17101` `swap-sqr_binary64_17095` `distribute-rgt-out_binary64_17081`
10×	`unpow3_binary64_17194` `unswap-sqr_binary64_17096` `distribute-rgt1-in_binary64_17084`
8×	`*-rgt-identity_binary64_17118`
7×	`log-prod_binary64_17214` `exp-prod_binary64_17180` `cube-prod_binary64_17156`
6×	`log-div_binary64_17215` `cube-mult_binary64_17158` `cube-div_binary64_17157` `difference-of-squares_binary64_17097` `associate-+r-_binary64_17062`
5×	`log-pow_binary64_17217` `associate-+l-_binary64_17063`
4×	`pow-plus_binary64_17191`
3×	`unpow2_binary64_17193` `exp-sum_binary64_17174` `/-rgt-identity_binary64_17119` `*-lft-identity_binary64_17117`
2×	`pow-base-1_binary64_17188` `div-exp_binary64_17179` `cube-unmult_binary64_17165` `mul-1-neg_binary64_17120` `distribute-lft-out--_binary64_17080`
1×	`rec-exp_binary64_17178` `prod-exp_binary64_17177` `1-exp_binary64_17172` `div-sub_binary64_17133` `*-inverses_binary64_17108` `distribute-lft-out_binary64_17079` `associate--r-_binary64_17067`
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_17391` `erf-erfc_binary64_17390` `erf-odd_binary64_17389` `if-if-and-not_binary64_17388` `if-if-and_binary64_17387` `if-if-or-not_binary64_17386` `if-if-or_binary64_17385` `if-not_binary64_17384` `if-same_binary64_17383` `if-false_binary64_17382` `if-true_binary64_17381` `not-gte_binary64_17380` `not-lte_binary64_17379` `not-gt_binary64_17378` `not-lt_binary64_17377` `gte-same_binary64_17376` `lte-same_binary64_17375` `gt-same_binary64_17374` `lt-same_binary64_17373` `sinh---cosh_binary64_17320` `sinh-+-cosh_binary64_17319` `sinh-cosh_binary64_17318` `tanh-def-c_binary64_17317` `tanh-def-b_binary64_17316` `tanh-def-a_binary64_17315` `cosh-def_binary64_17314` `sinh-def_binary64_17313` `tan-neg_binary64_17260` `cos-neg_binary64_17259` `sin-neg_binary64_17258` `tan-0_binary64_17257` `cos-0_binary64_17256` `sin-0_binary64_17255` `hang-m-tan_binary64_17254` `hang-p-tan_binary64_17253` `hang-m0-tan_binary64_17252` `hang-p0-tan_binary64_17251` `hang-0m-tan_binary64_17250` `hang-0p-tan_binary64_17249` `tan-+PI/2_binary64_17248` `tan-+PI_binary64_17247` `tan-PI_binary64_17246` `tan-PI/3_binary64_17245` `tan-PI/4_binary64_17244` `tan-PI/6_binary64_17243` `cos-+PI/2_binary64_17242` `cos-+PI_binary64_17241` `cos-PI_binary64_17240` `cos-PI/2_binary64_17239` `cos-PI/3_binary64_17238` `cos-PI/4_binary64_17237` `cos-PI/6_binary64_17236` `sin-+PI/2_binary64_17235` `sin-+PI_binary64_17234` `sin-PI_binary64_17233` `sin-PI/2_binary64_17232` `sin-PI/3_binary64_17231` `sin-PI/4_binary64_17230` `sin-PI/6_binary64_17229` `sub-1-sin_binary64_17228` `sub-1-cos_binary64_17227` `-1-add-sin_binary64_17226` `-1-add-cos_binary64_17225` `1-sub-sin_binary64_17224` `1-sub-cos_binary64_17223` `cos-sin-sum_binary64_17222` `log-E_binary64_17218` `log-rec_binary64_17216` `pow-base-0_binary64_17212` `unpow1/3_binary64_17195` `unpow1/2_binary64_17192` `exp-to-pow_binary64_17190` `unpow0_binary64_17187` `unpow1_binary64_17186` `unpow-1_binary64_17185` `exp-lft-cube_binary64_17184` `exp-lft-sqr_binary64_17183` `exp-cbrt_binary64_17182` `exp-sqrt_binary64_17181` `exp-diff_binary64_17176` `exp-neg_binary64_17175` `e-exp-1_binary64_17173` `exp-1-e_binary64_17171` `exp-0_binary64_17170` `rem-log-exp_binary64_17169` `rem-exp-log_binary64_17168` `cube-neg_binary64_17155` `rem-3cbrt-rft_binary64_17154` `rem-3cbrt-lft_binary64_17153` `rem-cbrt-cube_binary64_17152` `rem-cube-cbrt_binary64_17151` `sqr-abs_binary64_17143` `sqr-neg_binary64_17142` `rem-sqrt-square_binary64_17141` `rem-square-sqrt_binary64_17140` `unsub-neg_binary64_17122` `remove-double-neg_binary64_17116` `sub0-neg_binary64_17115` `--rgt-identity_binary64_17114` `+-rgt-identity_binary64_17113` `+-lft-identity_binary64_17112` `mul0-rgt_binary64_17111` `mul0-lft_binary64_17110` `div0_binary64_17109` `+-inverses_binary64_17107` `lft-mult-inverse_binary64_17106` `rgt-mult-inverse_binary64_17105` `remove-double-div_binary64_17104` `difference-of-sqr--1_binary64_17099` `difference-of-sqr-1_binary64_17098` `cancel-sign-sub_binary64_17093` `distribute-frac-neg_binary64_17091` `distribute-neg-out_binary64_17090` `distribute-rgt-neg-out_binary64_17088` `distribute-lft1-in_binary64_17083` `count-2_binary64_17076` `associate--l-_binary64_17066`

Counts

260 → 788

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	489	13011
1	1571	11562
2	4999	11562

prune7.3s (33.6%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	788	0	788
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	788	4	792

Error

0.0b

Counts

792 → 4

Compiler

Compiled 57683 to 40964 computations (29% saved)

regimes240.0ms (1.1%)

Accuracy

Total 0.0b remaining (98%)

Threshold costs 0.0b (98%)

Compiler

Compiled 2479 to 1774 computations (28.4% saved)

bsearch0.0ms (0%)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Rules

6×	`+-commutative_binary64_17058`
5×	`sub-neg_binary64_17121`
3×	`neg-mul-1_binary64_17124` `neg-sub0_binary64_17123` `*-commutative_binary64_17059`
2×	`unsub-neg_binary64_17122` `distribute-neg-in_binary64_17089`
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_17388` `if-if-and_binary64_17387` `if-if-or-not_binary64_17386` `if-if-or_binary64_17385` `if-not_binary64_17384` `if-same_binary64_17383` `if-false_binary64_17382` `if-true_binary64_17381` `tan-0_binary64_17257` `cos-0_binary64_17256` `sin-0_binary64_17255` `unpow1_binary64_17186` `e-exp-1_binary64_17173` `1-exp_binary64_17172` `exp-1-e_binary64_17171` `exp-0_binary64_17170` `sqr-abs_binary64_17143` `sqr-neg_binary64_17142` `mul-1-neg_binary64_17120` `/-rgt-identity_binary64_17119` `-rgt-identity_binary64_17118` `-lft-identity_binary64_17117` `remove-double-neg_binary64_17116` `sub0-neg_binary64_17115` `--rgt-identity_binary64_17114` `+-rgt-identity_binary64_17113` `+-lft-identity_binary64_17112` `cancel-sign-sub-inv_binary64_17094` `cancel-sign-sub_binary64_17093` `distribute-neg-frac_binary64_17092` `distribute-frac-neg_binary64_17091` `distribute-neg-out_binary64_17090` `distribute-rgt-neg-out_binary64_17088` `distribute-lft-neg-out_binary64_17087` `distribute-rgt-neg-in_binary64_17086` `distribute-lft-neg-in_binary64_17085`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	13	13
2	24	13
3	32	13
4	36	13
5	37	13

Proof

(/ f64 (- f64 h0 h1) (- f64 2 (+ f64 h0 h1)))

end0.0ms (0%)

sample1.4s (6.6%)

Algorithm

1×

intervals

Results

217.0ms	7999×	body	128	valid
0.0ms	1×	body	1024	valid

Compiler

Compiled 853 to 611 computations (28.4% saved)

Details

analyze34.0ms (0.2%)

sample21.0ms (0.1%)

simplify2.2s (10.3%)

prune4.0ms (0%)

localize6.0ms (0%)

rewrite81.0ms (0.4%)

series293.0ms (1.4%)

simplify313.0ms (1.4%)

prune261.0ms (1.2%)

localize17.0ms (0.1%)

rewrite151.0ms (0.7%)

series665.0ms (3.1%)

simplify150.0ms (0.7%)

prune692.0ms (3.2%)

localize8.0ms (0%)

rewrite412.0ms (1.9%)

series1.2s (5.8%)

simplify807.0ms (3.7%)

prune1.1s (5%)

localize18.0ms (0.1%)

rewrite1.2s (5.5%)

series1.5s (7.1%)

simplify1.5s (6.9%)

prune7.3s (33.6%)

regimes240.0ms (1.1%)

bsearch0.0ms (0%)

simplify4.0ms (0%)

end0.0ms (0%)

sample1.4s (6.6%)

Profiling