Details

analyze876.0ms (36.8%)

Algorithm

1×	search
2×	egg-herbie

Rules

90×	`cancel-sign-sub-inv_binary64`
57×	`unsub-neg_binary64`
55×	`sub-neg_binary64`
42×	`distribute-rgt-neg-in_binary64`
40×	`associate--r+_binary64`
38×	`distribute-rgt-in_binary64`
29×	`neg-mul-1_binary64`
26×	`distribute-lft-in_binary64`
22×	`+-lft-identity_binary64`
20×	`neg-sub0_binary64` `*-commutative_binary64` `+-commutative_binary64`
19×	`distribute-lft-neg-out_binary64`
17×	`distribute-lft-neg-in_binary64`
15×	`sub0-neg_binary64` `associate-r_binary64`
13×	`distribute-rgt-neg-out_binary64`
12×	`associate-+l-_binary64`
10×	`associate--r-_binary64`
9×	`*-lft-identity_binary64` `distribute-neg-in_binary64`
8×	`mul0-rgt_binary64` `mul0-lft_binary64`
5×	`remove-double-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `associate-l_binary64` `associate-+r-_binary64` `associate-+r+_binary64`
4×	`cancel-sign-sub_binary64`
3×	`associate-+l+_binary64`
1×	`1-exp_binary64` `distribute-rgt-out--_binary64` `associate--l+_binary64` `swap-x.re-y.re` `swap-x.im-y.im`
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` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `log-rec_binary64` `log-div_binary64` `log-prod_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `unpow3_binary64` `unpow2_binary64` `unpow1/2_binary64` `pow-plus_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `exp-prod_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `exp-sum_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-unmult_binary64` `cube-mult_binary64` `cube-div_binary64` `cube-prod_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `times-frac_binary64` `div-sub_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `div0_binary64` `-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `pow-sqr_binary64` `sqr-pow_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `unswap-sqr_binary64` `swap-sqr_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `count-2_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `associate-/l_binary64` `associate-/r_binary64` `associate-l/_binary64` `associate-r/_binary64` `associate--l-_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	98
1	50	98
2	84	98
3	118	98
4	184	98
5	287	98
6	343	98
7	347	98
8	346	98
9	347	98
10	316	98
0	4	4
1	4	4

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
6.2%	93.6%	0.2%	9
12.5%	87.3%	0.2%	10
25%	74.9%	0.2%	11
31.2%	63.9%	4.9%	12
39%	50.9%	10.1%	13
44.8%	44.4%	10.7%	14

Symmetry

(sort x.re y.re)

(sort x.im y.im)

Compiler

Compiled 8 to 8 computations (0% saved)

sample36.0ms (1.5%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	128	valid
1.0ms	45×	body	128	invalid

Compiler

Compiled 15 to 19 computations (-26.7% saved)

simplify19.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

36×	`cancel-sign-sub-inv_binary64`
23×	`sub-neg_binary64` `distribute-rgt-neg-in_binary64`
19×	`unsub-neg_binary64`
17×	`neg-mul-1_binary64`
16×	`distribute-rgt-in_binary64`
14×	`neg-sub0_binary64` `associate--r+_binary64`
12×	`distribute-lft-neg-out_binary64` `distribute-lft-neg-in_binary64`
11×	`distribute-lft-in_binary64`
10×	`+-commutative_binary64`
9×	`distribute-neg-in_binary64` `*-commutative_binary64`
8×	`mul0-rgt_binary64` `mul0-lft_binary64`
7×	`+-lft-identity_binary64`
6×	`*-lft-identity_binary64` `sub0-neg_binary64` `associate-+l-_binary64`
5×	`remove-double-neg_binary64` `distribute-rgt-neg-out_binary64` `associate-r_binary64`
3×	`--rgt-identity_binary64` `associate-+l+_binary64`
2×	`*-rgt-identity_binary64` `associate--r-_binary64`
1×	`1-exp_binary64` `+-rgt-identity_binary64` `cancel-sign-sub_binary64` `associate-l_binary64` `associate--l+_binary64` `associate-+r-_binary64` `associate-+r+_binary64`
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` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `log-rec_binary64` `log-div_binary64` `log-prod_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `unpow3_binary64` `unpow2_binary64` `unpow1/2_binary64` `pow-plus_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `exp-prod_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `exp-sum_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-unmult_binary64` `cube-mult_binary64` `cube-div_binary64` `cube-prod_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `times-frac_binary64` `div-sub_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `div0_binary64` `-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `pow-sqr_binary64` `sqr-pow_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `unswap-sqr_binary64` `swap-sqr_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-rgt-out_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `count-2_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `associate-/l_binary64` `associate-/r_binary64` `associate-l/_binary64` `associate-*r/_binary64` `associate--l-_binary64`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	14
1	17	14
2	27	14
3	39	14
4	56	14
5	80	14
6	115	14
7	164	14
8	191	14
9	193	14
10	191	14
11	160	14

prune1.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.0b

Counts

1 → 1

Compiler

Compiled 7 to 7 computations (0% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b	(-.f64 (.f64 x.re y.re) (.f64 x.im y.im))

rewrite13.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

3×	`add-log-exp_binary64`
1×	`diff-log_binary64` `pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `flip3--_binary64` `*-un-lft-identity_binary64` `sub-neg_binary64` `flip--_binary64` `cancel-sign-sub-inv_binary64`

Counts

1 → 12

Calls

1 calls:

4.0ms

(-.f64 (*.f64 x.re y.re) (*.f64 x.im y.im))

Compiler

Compiled 187 to 46 computations (75.4% saved)

series44.0ms (1.8%)

Error

0.0b

Counts

1 → 24

Calls

1 calls:

41.0ms

(-.f64 (*.f64 x.re y.re) (*.f64 x.im y.im))

Compiler

Compiled 231 to 249 computations (-7.8% saved)

simplify88.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

438×	`times-frac_binary64`
434×	`unsub-neg_binary64`
376×	`sub-neg_binary64`
364×	`unswap-sqr_binary64`
233×	`distribute-rgt-neg-in_binary64`
229×	`*-commutative_binary64`
226×	`neg-mul-1_binary64`
220×	`neg-sub0_binary64`
217×	`distribute-rgt-in_binary64`
196×	`distribute-lft-neg-in_binary64`
183×	`sqr-pow_binary64`
182×	`difference-of-squares_binary64`
181×	`distribute-lft-in_binary64`
175×	`distribute-lft-neg-out_binary64`
174×	`associate-l_binary64`
141×	`distribute-rgt-neg-out_binary64`
136×	`cancel-sign-sub-inv_binary64`
130×	`associate-r_binary64`
110×	`+-commutative_binary64`
87×	`distribute-neg-in_binary64`
73×	`pow-sqr_binary64`
68×	`associate-/l*_binary64`
55×	`remove-double-neg_binary64`
53×	`distribute-neg-out_binary64`
45×	`associate-+l-_binary64`
43×	`associate-/r*_binary64`
37×	`distribute-rgt-out_binary64`
36×	`sub0-neg_binary64`
35×	`exp-sum_binary64`
33×	`mul0-rgt_binary64` `mul0-lft_binary64`
32×	`div-sub_binary64`
31×	`exp-prod_binary64` `associate-*r/_binary64`
28×	`associate-+r+_binary64`
25×	`exp-diff_binary64`
23×	`associate-+l+_binary64`
22×	`associate-*l/_binary64`
21×	`associate-/l/_binary64`
19×	`associate--r+_binary64`
17×	`cube-unmult_binary64` `associate-+r-_binary64`
15×	`cube-prod_binary64`
14×	`swap-sqr_binary64`
13×	`--rgt-identity_binary64`
11×	`unpow3_binary64` `associate--l+_binary64`
10×	`/-rgt-identity_binary64` `+-rgt-identity_binary64` `associate-/r/_binary64`
8×	`distribute-lft-out_binary64`
7×	`mul-1-neg_binary64` `*-lft-identity_binary64`
6×	`pow-plus_binary64` `cube-mult_binary64` `cube-neg_binary64` `sqr-neg_binary64`
4×	`log-prod_binary64` `exp-neg_binary64`
3×	`*-rgt-identity_binary64`
2×	`unpow2_binary64` `distribute-frac-neg_binary64` `distribute-rgt-out--_binary64`
1×	`div-exp_binary64` `1-exp_binary64` `cube-div_binary64` `+-lft-identity_binary64` `div0_binary64` `+-inverses_binary64` `cancel-sign-sub_binary64` `associate--r-_binary64` `associate--l-_binary64`
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` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `log-rec_binary64` `log-div_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `unpow1/2_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `rec-exp_binary64` `prod-exp_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `*-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `distribute-neg-frac_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `count-2_binary64`

Counts

36 → 16

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	39	546
1	106	517
2	298	517
3	786	517
4	1717	517
5	2904	517
6	4571	517
7	4948	517

prune9.0ms (0.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	15	1	16
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	15	2	17

Error

0.0b

Counts

17 → 2

Compiler

Compiled 147 to 46 computations (68.7% saved)

localize8.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (.f64 y.re x.re) (.f64 y.im x.im))
0.4b	(pow.f64 (-.f64 (.f64 y.re x.re) (.f64 y.im x.im)) 3)
30.7b	(cbrt.f64 (pow.f64 (-.f64 (.f64 y.re x.re) (.f64 y.im x.im)) 3))

rewrite47.0ms (2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

12×	`cbrt-prod_binary64`
9×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
6×	`unpow-prod-down_binary64` `cube-prod_binary64`
5×	`add-log-exp_binary64`
4×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `cube-div_binary64`
3×	`flip3--_binary64` `flip--_binary64` `pow-unpow_binary64`
2×	`cbrt-div_binary64` `unpow3_binary64` `cube-mult_binary64` `sqr-pow_binary64`
1×	`pow1/3_binary64` `rem-cbrt-cube_binary64` `pow-pow_binary64` `pow-to-exp_binary64` `pow-exp_binary64` `rem-cube-cbrt_binary64` `diff-log_binary64` `sub-neg_binary64` `cancel-sign-sub-inv_binary64`

Counts

3 → 60

Calls

3 calls:

4.0ms	(cbrt.f64 (pow.f64 (-.f64 (.f64 y.re x.re) (.f64 y.im x.im)) 3))
4.0ms	(pow.f64 (-.f64 (.f64 y.re x.re) (.f64 y.im x.im)) 3)
4.0ms	(-.f64 (.f64 y.re x.re) (.f64 y.im x.im))

Compiler

Compiled 1028 to 336 computations (67.3% saved)

series209.0ms (8.8%)

Error

0.0b

Counts

3 → 96

Calls

3 calls:

104.0ms	(pow.f64 (-.f64 (.f64 y.re x.re) (.f64 y.im x.im)) 3)
48.0ms	(cbrt.f64 (pow.f64 (-.f64 (.f64 y.re x.re) (.f64 y.im x.im)) 3))
45.0ms	(-.f64 (.f64 y.re x.re) (.f64 y.im x.im))

Compiler

Compiled 2144 to 1951 computations (9% saved)

simplify184.0ms (7.7%)

Algorithm

1×	egg-herbie

Rules

334×	`unswap-sqr_binary64`
333×	`*-commutative_binary64`
313×	`cancel-sign-sub-inv_binary64`
247×	`distribute-rgt-neg-in_binary64`
231×	`distribute-rgt-in_binary64`
228×	`distribute-lft-in_binary64`
208×	`log-prod_binary64`
200×	`sqr-pow_binary64`
192×	`swap-sqr_binary64`
176×	`exp-prod_binary64`
138×	`cube-prod_binary64`
120×	`associate-r_binary64`
110×	`unpow3_binary64`
103×	`distribute-lft-neg-out_binary64` `associate-l_binary64`
99×	`sub-neg_binary64`
91×	`distribute-rgt-neg-out_binary64`
88×	`distribute-lft-neg-in_binary64`
76×	`neg-sub0_binary64`
74×	`neg-mul-1_binary64`
68×	`exp-sum_binary64`
51×	`pow-sqr_binary64`
40×	`log-pow_binary64`
35×	`unsub-neg_binary64`
33×	`difference-of-squares_binary64`
32×	`distribute-rgt-out_binary64`
28×	`cube-mult_binary64`
24×	`pow-plus_binary64` `+-commutative_binary64`
17×	`cube-unmult_binary64` `rem-sqrt-square_binary64` `associate-+l-_binary64` `associate-+l+_binary64`
15×	`associate-+r-_binary64` `associate-+r+_binary64`
14×	`distribute-lft-out_binary64`
13×	`associate--l+_binary64`
11×	`sub0-neg_binary64`
10×	`+-rgt-identity_binary64`
9×	`times-frac_binary64` `distribute-rgt-out--_binary64`
8×	`rem-cbrt-cube_binary64`
7×	`mul0-rgt_binary64` `mul0-lft_binary64`
6×	`associate--r+_binary64`
5×	`unpow1/2_binary64` `unpow1_binary64` `exp-diff_binary64` `distribute-neg-in_binary64`
4×	`unpow2_binary64` `exp-neg_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `associate-/l*_binary64`
3×	`sqr-neg_binary64` `distribute-lft-out--_binary64` `count-2_binary64` `associate-/l/_binary64` `associate-*r/_binary64`
2×	`div-sub_binary64` `mul-1-neg_binary64` `cancel-sign-sub_binary64`
1×	`div-exp_binary64` `1-exp_binary64` `rem-3cbrt-lft_binary64` `rem-cube-cbrt_binary64` `rem-square-sqrt_binary64` `associate-/r/_binary64` `associate-/r*_binary64`
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` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-rec_binary64` `log-div_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `rec-exp_binary64` `prod-exp_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-div_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `sqr-abs_binary64` `/-rgt-identity_binary64` `remove-double-neg_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `div0_binary64` `-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `associate-l/_binary64` `associate--r-_binary64` `associate--l-_binary64`

Counts

156 → 106

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	116	4183
1	306	3929
2	989	3845
3	2905	3845
4	4852	3845
5	4953	3845

prune25.0ms (1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	106	0	106
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	106	2	108

Error

0.0b

Counts

108 → 2

Compiler

Compiled 599 to 274 computations (54.3% saved)

regimes113.0ms (4.7%)

Accuracy

Total 0.0b remaining (14.6%)

Threshold costs 0.0b (14.6%)

Compiler

Compiled 629 to 619 computations (1.6% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

5×	`*-commutative_binary64`
4×	`sub-neg_binary64` `+-commutative_binary64`
3×	`neg-mul-1_binary64` `neg-sub0_binary64`
2×	`cancel-sign-sub-inv_binary64` `distribute-rgt-neg-in_binary64`
1×	`distribute-lft-neg-out_binary64` `distribute-lft-neg-in_binary64`
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` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `unpow1_binary64` `e-exp-1_binary64` `1-exp_binary64` `exp-1-e_binary64` `exp-0_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `unsub-neg_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-neg-in_binary64` `distribute-rgt-neg-out_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	14
1	17	14
2	27	14
3	33	14
4	37	14
5	38	14
6	38	14

end18.0ms (0.8%)

Remove

(sort x.im y.im)

(sort x.re y.re)

Compiler

Compiled 35 to 35 computations (0% saved)

sample682.0ms (28.6%)

Algorithm

1×

intervals

Results

213.0ms	8000×	body	128	valid
36.0ms	1307×	body	128	invalid

Compiler

Compiled 35 to 51 computations (-45.7% saved)

Iter	Nodes	Cost
0	24	98
1	50	98
2	84	98
3	118	98
4	184	98
5	287	98
6	343	98
7	347	98
8	346	98
9	347	98
10	316	98
0	4	4
1	4	4

Iter	Nodes	Cost
0	10	14
1	17	14
2	27	14
3	39	14
4	56	14
5	80	14
6	115	14
7	164	14
8	191	14
9	193	14
10	191	14
11	160	14

Iter	Nodes	Cost
0	24	98
1	50	98
2	84	98
3	118	98
4	184	98
5	287	98
6	343	98
7	347	98
8	346	98
9	347	98
10	316	98
0	4	4
1	4	4

Iter	Nodes	Cost
0	10	14
1	17	14
2	27	14
3	39	14
4	56	14
5	80	14
6	115	14
7	164	14
8	191	14
9	193	14
10	191	14
11	160	14

Details

analyze876.0ms (36.8%)

sample36.0ms (1.5%)

simplify19.0ms (0.8%)

prune1.0ms (0.1%)

localize6.0ms (0.2%)

rewrite13.0ms (0.5%)

series44.0ms (1.8%)

simplify88.0ms (3.7%)

prune9.0ms (0.4%)

localize8.0ms (0.3%)

rewrite47.0ms (2%)

series209.0ms (8.8%)

simplify184.0ms (7.7%)

prune25.0ms (1%)

regimes113.0ms (4.7%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end18.0ms (0.8%)

sample682.0ms (28.6%)

Profiling

Iter	Nodes	Cost
0	24	98
1	50	98
2	84	98
3	118	98
4	184	98
5	287	98
6	343	98
7	347	98
8	346	98
9	347	98
10	316	98
0	4	4
1	4	4

Iter	Nodes	Cost
0	10	14
1	17	14
2	27	14
3	39	14
4	56	14
5	80	14
6	115	14
7	164	14
8	191	14
9	193	14
10	191	14
11	160	14