Details

analyze902.0ms (22.8%)

Algorithm

1×	search
2×	egg-herbie

Rules

6×	`*-commutative_binary64` `+-commutative_binary64`
1×	`swap-x.im-y.re` `swap-x.re-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` `1-exp_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` `neg-mul-1_binary64` `neg-sub0_binary64` `unsub-neg_binary64` `sub-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` `mul0-rgt_binary64` `mul0-lft_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` `cancel-sign-sub-inv_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` `distribute-lft-neg-out_binary64` `distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_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` `distribute-rgt-in_binary64` `distribute-lft-in_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` `associate-r*_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--l+_binary64` `associate--r+_binary64` `associate-+l-_binary64` `associate-+r-_binary64` `associate-+l+_binary64` `associate-+r+_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	98
1	25	98
2	25	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.im)

(sort x.im y.re)

Compiler

Compiled 8 to 8 computations (0% saved)

sample36.0ms (0.9%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	128	valid
1.0ms	39×	body	128	invalid

Compiler

Compiled 15 to 19 computations (-26.7% saved)

simplify8.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64`
1×	`+-commutative_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` `1-exp_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` `neg-mul-1_binary64` `neg-sub0_binary64` `unsub-neg_binary64` `sub-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` `mul0-rgt_binary64` `mul0-lft_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` `cancel-sign-sub-inv_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` `distribute-lft-neg-out_binary64` `distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_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` `distribute-rgt-in_binary64` `distribute-lft-in_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` `associate-r*_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--l+_binary64` `associate--r+_binary64` `associate-+l-_binary64` `associate-+r-_binary64` `associate-+l+_binary64` `associate-+r+_binary64`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	14
1	13	14
2	13	14

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

0.0b

Counts

1 → 1

Compiler

Compiled 7 to 7 computations (0% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

rewrite12.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

3×	`add-log-exp_binary64`
1×	`sum-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` `flip-+_binary64` `+-commutative_binary64`

Counts

1 → 11

Calls

1 calls:

4.0ms

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

Compiler

Compiled 178 to 42 computations (76.4% saved)

series42.0ms (1.1%)

Error

0.0b

Counts

1 → 24

Calls

1 calls:

38.0ms

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

Compiler

Compiled 217 to 235 computations (-8.3% saved)

simplify113.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

750×	`unsub-neg_binary64`
663×	`distribute-rgt-in_binary64`
556×	`distribute-lft-in_binary64`
351×	`distribute-rgt-out_binary64`
334×	`*-commutative_binary64`
298×	`unswap-sqr_binary64`
205×	`cancel-sign-sub-inv_binary64`
196×	`associate-l_binary64`
191×	`distribute-rgt-neg-in_binary64`
168×	`neg-mul-1_binary64`
161×	`sub-neg_binary64`
155×	`neg-sub0_binary64`
141×	`+-commutative_binary64`
136×	`associate-r_binary64`
131×	`distribute-lft-neg-in_binary64`
116×	`associate--r+_binary64`
112×	`distribute-lft-out_binary64`
101×	`distribute-lft-neg-out_binary64`
84×	`distribute-rgt-neg-out_binary64`
83×	`associate-+l+_binary64`
81×	`distribute-neg-in_binary64`
80×	`sqr-pow_binary64`
79×	`associate-+r+_binary64`
73×	`exp-prod_binary64`
67×	`associate--l+_binary64`
56×	`associate-+l-_binary64`
53×	`distribute-rgt-out--_binary64`
51×	`associate--l-_binary64`
45×	`mul0-rgt_binary64` `mul0-lft_binary64`
44×	`cancel-sign-sub_binary64`
42×	`cube-prod_binary64`
32×	`associate-/l/_binary64`
31×	`count-2_binary64` `associate--r-_binary64`
29×	`sub0-neg_binary64`
28×	`pow-sqr_binary64`
27×	`unpow3_binary64`
23×	`remove-double-neg_binary64`
22×	`exp-sum_binary64`
20×	`associate-/l*_binary64` `associate-+r-_binary64`
19×	`div-sub_binary64` `distribute-neg-out_binary64`
18×	`associate-*r/_binary64`
15×	`exp-diff_binary64` `distribute-rgt1-in_binary64`
14×	`swap-sqr_binary64`
11×	`distribute-lft-out--_binary64`
10×	`cube-unmult_binary64` `cube-div_binary64` `+-rgt-identity_binary64`
8×	`cube-neg_binary64`
6×	`pow-plus_binary64` `exp-lft-sqr_binary64` `cube-mult_binary64` `associate-/r/_binary64`
5×	`sqr-neg_binary64` `+-lft-identity_binary64`
4×	`exp-sqrt_binary64` `associate-*l/_binary64`
3×	`*-lft-identity_binary64` `difference-of-squares_binary64`
2×	`unpow2_binary64` `exp-neg_binary64` `/-rgt-identity_binary64`
1×	`prod-exp_binary64` `1-exp_binary64` `--rgt-identity_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` `unpow1/2_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-cbrt_binary64` `div-exp_binary64` `rec-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` `times-frac_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` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-lft1-in_binary64` `associate-/r*_binary64`

Counts

35 → 8

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	34	518
1	109	489
2	342	489
3	865	489
4	1790	489
5	3284	489
6	4058	489
7	4961	489
8	4833	489

prune7.0ms (0.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	6	2	8
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	6	3	9

Error

0.0b

Counts

9 → 3

Compiler

Compiled 158 to 55 computations (65.2% saved)

localize14.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.3b	(.f64 (.f64 y.im x.re) (*.f64 y.im x.re))
0.3b	(.f64 (.f64 y.re x.im) (*.f64 y.re x.im))
2.8b	(-.f64 (.f64 (.f64 y.im x.re) (.f64 y.im x.re)) (.f64 (.f64 y.re x.im) (.f64 y.re x.im)))
21.9b	(/.f64 (-.f64 (.f64 (.f64 y.im x.re) (.f64 y.im x.re)) (.f64 (.f64 y.re x.im) (.f64 y.re x.im))) (-.f64 (.f64 y.im x.re) (.f64 y.re x.im)))

rewrite101.0ms (2.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

82×	`pow1_binary64`
34×	`pow-prod-down_binary64`
30×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
16×	`prod-exp_binary64` `cbrt-unprod_binary64`
13×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
12×	`times-frac_binary64`
8×	`pow-prod-up_binary64` `pow-sqr_binary64`
6×	`add-log-exp_binary64`
5×	`difference-of-squares_binary64`
4×	`associate-/l*_binary64` `pow-plus_binary64`
3×	`flip3--_binary64` `flip--_binary64` `associate-/r*_binary64`
2×	`associate-/l/_binary64` `associate-/r/_binary64` `pow2_binary64` `swap-sqr_binary64` `associate-l_binary64` `associate-r_binary64` `*-commutative_binary64`
1×	`div-exp_binary64` `cbrt-undiv_binary64` `frac-2neg_binary64` `div-sub_binary64` `clear-num_binary64` `div-inv_binary64` `diff-log_binary64` `sub-neg_binary64` `cancel-sign-sub-inv_binary64`

Counts

4 → 117

Calls

4 calls:

12.0ms	(/.f64 (-.f64 (.f64 (.f64 y.im x.re) (.f64 y.im x.re)) (.f64 (.f64 y.re x.im) (.f64 y.re x.im))) (-.f64 (.f64 y.im x.re) (.f64 y.re x.im)))
8.0ms	(-.f64 (.f64 (.f64 y.im x.re) (.f64 y.im x.re)) (.f64 (.f64 y.re x.im) (.f64 y.re x.im)))
6.0ms	(.f64 (.f64 y.re x.im) (*.f64 y.re x.im))
6.0ms	(.f64 (.f64 y.im x.re) (*.f64 y.im x.re))

Compiler

Compiled 3249 to 370 computations (88.6% saved)

series220.0ms (5.6%)

Error

0.0b

Counts

4 → 60

Calls

4 calls:

91.0ms	(/.f64 (-.f64 (.f64 (.f64 y.im x.re) (.f64 y.im x.re)) (.f64 (.f64 y.re x.im) (.f64 y.re x.im))) (-.f64 (.f64 y.im x.re) (.f64 y.re x.im)))
85.0ms	(-.f64 (.f64 (.f64 y.im x.re) (.f64 y.im x.re)) (.f64 (.f64 y.re x.im) (.f64 y.re x.im)))
20.0ms	(.f64 (.f64 y.re x.im) (*.f64 y.re x.im))
18.0ms	(.f64 (.f64 y.im x.re) (*.f64 y.im x.re))

Compiler

Compiled 1614 to 1262 computations (21.8% saved)

simplify184.0ms (4.7%)

Algorithm

1×	egg-herbie

Rules

248×	`associate-l_binary64`
247×	`distribute-rgt-in_binary64`
236×	`times-frac_binary64`
230×	`distribute-lft-in_binary64`
227×	`cancel-sign-sub-inv_binary64`
209×	`associate-/l/_binary64`
192×	`associate-r_binary64`
180×	`log-prod_binary64`
169×	`distribute-rgt-neg-in_binary64`
167×	`exp-prod_binary64`
162×	`unswap-sqr_binary64`
153×	`distribute-lft-neg-in_binary64`
135×	`div-sub_binary64`
120×	`associate-/l*_binary64`
90×	`swap-sqr_binary64`
65×	`distribute-neg-frac_binary64`
62×	`sqr-pow_binary64`
61×	`*-commutative_binary64`
52×	`log-div_binary64`
51×	`distribute-rgt-out_binary64`
44×	`exp-sum_binary64`
41×	`cube-div_binary64`
40×	`sub-neg_binary64`
35×	`neg-sub0_binary64`
34×	`neg-mul-1_binary64`
33×	`unpow3_binary64`
32×	`cube-prod_binary64`
28×	`distribute-lft-out_binary64`
26×	`distribute-lft-neg-out_binary64`
21×	`associate-/r*_binary64`
20×	`pow-plus_binary64`
19×	`cube-mult_binary64`
18×	`+-commutative_binary64`
16×	`log-pow_binary64` `exp-diff_binary64`
15×	`distribute-rgt-neg-out_binary64` `associate-/r/_binary64`
13×	`associate-*l/_binary64`
12×	`cube-unmult_binary64` `pow-sqr_binary64` `difference-of-squares_binary64` `distribute-neg-in_binary64` `associate-+l+_binary64` `associate-+r+_binary64`
11×	`log-rec_binary64` `associate-*r/_binary64`
7×	`/-rgt-identity_binary64`
6×	`unpow2_binary64`
5×	`*-rgt-identity_binary64`
4×	`unpow1/2_binary64` `unpow1_binary64` `*-inverses_binary64` `count-2_binary64`
3×	`unsub-neg_binary64`
2×	`exp-neg_binary64` `rem-sqrt-square_binary64` `remove-double-neg_binary64` `+-rgt-identity_binary64` `distribute-rgt-out--_binary64` `associate--r-_binary64` `associate--r+_binary64` `associate-+r-_binary64`
1×	`div-exp_binary64` `1-exp_binary64` `mul-1-neg_binary64` `*-lft-identity_binary64` `cancel-sign-sub_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` `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-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-square-sqrt_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_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-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `associate--l-_binary64` `associate--l+_binary64` `associate-+l-_binary64`

Counts

177 → 140

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	157	4113
1	403	3496
2	1688	3490
3	4547	3058
4	4985	3058
5	5035	3058

prune51.0ms (1.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	139	1	140
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	139	4	143

Error

0.0b

Counts

143 → 4

Compiler

Compiled 1749 to 528 computations (69.8% saved)

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 y.re x.im) (.f64 y.im x.re))
0.3b	(pow.f64 (+.f64 (.f64 y.re x.im) (.f64 y.im x.re)) 3)
34.3b	(cbrt.f64 (pow.f64 (+.f64 (.f64 y.re x.im) (.f64 y.im x.re)) 3))

rewrite51.0ms (1.3%)

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` `sum-log_binary64` `+-commutative_binary64`

Counts

3 → 59

Calls

3 calls:

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

Compiler

Compiled 1016 to 329 computations (67.6% saved)

series188.0ms (4.8%)

Error

0.0b

Counts

3 → 96

Calls

3 calls:

95.0ms	(pow.f64 (+.f64 (.f64 y.re x.im) (.f64 y.im x.re)) 3)
42.0ms	(+.f64 (.f64 y.re x.im) (.f64 y.im x.re))
36.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 y.re x.im) (.f64 y.im x.re)) 3))

Compiler

Compiled 2091 to 1892 computations (9.5% saved)

simplify188.0ms (4.8%)

Algorithm

1×	egg-herbie

Rules

575×	`exp-prod_binary64`
388×	`unswap-sqr_binary64`
365×	`*-commutative_binary64`
245×	`distribute-rgt-in_binary64`
229×	`distribute-lft-in_binary64`
220×	`sqr-pow_binary64`
204×	`log-prod_binary64`
182×	`swap-sqr_binary64`
132×	`cube-prod_binary64`
120×	`associate-r_binary64`
117×	`associate-l_binary64`
115×	`distribute-rgt-neg-in_binary64`
105×	`distribute-rgt-out_binary64`
104×	`cancel-sign-sub-inv_binary64`
102×	`distribute-lft-neg-in_binary64`
100×	`unpow3_binary64`
99×	`exp-sum_binary64`
61×	`distribute-lft-neg-out_binary64`
52×	`pow-sqr_binary64`
48×	`distribute-rgt-neg-out_binary64`
45×	`associate-/l*_binary64`
41×	`associate-+l+_binary64`
40×	`log-pow_binary64` `distribute-lft-out_binary64`
38×	`neg-mul-1_binary64` `neg-sub0_binary64`
35×	`pow-plus_binary64` `sub-neg_binary64`
28×	`associate-+r+_binary64`
26×	`cube-mult_binary64`
25×	`+-commutative_binary64`
17×	`cube-unmult_binary64` `rem-sqrt-square_binary64`
16×	`unsub-neg_binary64` `distribute-rgt-out--_binary64` `associate-+l-_binary64`
15×	`associate-/l/_binary64`
11×	`count-2_binary64`
10×	`difference-of-squares_binary64` `associate-*r/_binary64`
8×	`rem-cbrt-cube_binary64` `distribute-neg-in_binary64`
7×	`unpow2_binary64`
6×	`associate-+r-_binary64`
5×	`unpow1/2_binary64` `unpow1_binary64` `+-rgt-identity_binary64`
4×	`-rgt-identity_binary64` `-lft-identity_binary64` `distribute-lft-out--_binary64` `associate-/r/_binary64` `associate--r+_binary64`
3×	`sub0-neg_binary64` `associate-*l/_binary64`
2×	`sqr-neg_binary64` `associate-/r*_binary64`
1×	`prod-exp_binary64` `1-exp_binary64` `rem-3cbrt-lft_binary64` `rem-cube-cbrt_binary64` `rem-square-sqrt_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-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` `div-exp_binary64` `rec-exp_binary64` `exp-diff_binary64` `exp-neg_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` `times-frac_binary64` `div-sub_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `remove-double-neg_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_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` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `associate--r-_binary64` `associate--l-_binary64`

Counts

155 → 121

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	106	4097
1	280	3853
2	979	3769
3	2872	3769
4	4810	3766
5	5303	3766

prune30.0ms (0.7%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	121	0	121
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	121	4	125

Error

0.0b

Counts

125 → 4

Compiler

Compiled 735 to 320 computations (56.5% saved)

localize15.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.3b	(.f64 (.f64 y.im x.re) (*.f64 y.im x.re))
2.8b	(-.f64 (.f64 (.f64 y.im x.re) (.f64 y.im x.re)) (.f64 (pow.f64 y.re 2) (pow.f64 x.im 2)))
19.9b	(*.f64 (pow.f64 y.re 2) (pow.f64 x.im 2))
21.9b	(/.f64 (-.f64 (.f64 (.f64 y.im x.re) (.f64 y.im x.re)) (.f64 (pow.f64 y.re 2) (pow.f64 x.im 2))) (-.f64 (.f64 y.im x.re) (.f64 y.re x.im)))

rewrite142.0ms (3.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

43×	`pow1_binary64`
32×	`add-sqr-sqrt_binary64`
30×	`add-exp-log_binary64`
20×	`add-cbrt-cube_binary64`
18×	`pow-prod-down_binary64`
17×	`prod-exp_binary64`
16×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64` `unswap-sqr_binary64`
14×	`unpow-prod-down_binary64`
10×	`unpow2_binary64` `sqr-pow_binary64`
9×	`times-frac_binary64` `cbrt-unprod_binary64` `associate-l_binary64` `associate-r_binary64`
6×	`add-log-exp_binary64` `pow-to-exp_binary64` `pow-exp_binary64`
4×	`pow-prod-up_binary64` `pow-sqr_binary64`
3×	`flip3--_binary64` `flip--_binary64` `associate-/l_binary64` `associate-/r_binary64`
2×	`associate-/l/_binary64` `associate-/r/_binary64` `*-commutative_binary64` `pow-plus_binary64`
1×	`div-exp_binary64` `cbrt-undiv_binary64` `frac-2neg_binary64` `div-sub_binary64` `clear-num_binary64` `div-inv_binary64` `diff-log_binary64` `sub-neg_binary64` `cancel-sign-sub-inv_binary64` `pow2_binary64` `swap-sqr_binary64`

Counts

4 → 129

Calls

4 calls:

12.0ms	(/.f64 (-.f64 (.f64 (.f64 y.im x.re) (.f64 y.im x.re)) (.f64 (pow.f64 y.re 2) (pow.f64 x.im 2))) (-.f64 (.f64 y.im x.re) (.f64 y.re x.im)))
7.0ms	(*.f64 (pow.f64 y.re 2) (pow.f64 x.im 2))
7.0ms	(-.f64 (.f64 (.f64 y.im x.re) (.f64 y.im x.re)) (.f64 (pow.f64 y.re 2) (pow.f64 x.im 2)))
6.0ms	(.f64 (.f64 y.im x.re) (*.f64 y.im x.re))

Compiler

Compiled 3850 to 1425 computations (63% saved)

series221.0ms (5.6%)

Error

0.0b

Counts

4 → 60

Calls

4 calls:

89.0ms	(/.f64 (-.f64 (.f64 (.f64 y.im x.re) (.f64 y.im x.re)) (.f64 (pow.f64 y.re 2) (pow.f64 x.im 2))) (-.f64 (.f64 y.im x.re) (.f64 y.re x.im)))
86.0ms	(-.f64 (.f64 (.f64 y.im x.re) (.f64 y.im x.re)) (.f64 (pow.f64 y.re 2) (pow.f64 x.im 2)))
21.0ms	(.f64 (.f64 y.im x.re) (*.f64 y.im x.re))
20.0ms	(*.f64 (pow.f64 y.re 2) (pow.f64 x.im 2))

Compiler

Compiled 1591 to 1302 computations (18.2% saved)

simplify163.0ms (4.1%)

Algorithm

1×	egg-herbie

Rules

390×	`times-frac_binary64`
314×	`unswap-sqr_binary64`
240×	`associate-l_binary64`
233×	`log-prod_binary64`
226×	`distribute-rgt-in_binary64`
212×	`distribute-rgt-neg-in_binary64`
198×	`cancel-sign-sub-inv_binary64` `associate-r_binary64`
190×	`distribute-lft-neg-in_binary64`
110×	`associate-/l*_binary64`
107×	`div-sub_binary64`
91×	`exp-prod_binary64`
82×	`*-commutative_binary64`
78×	`sqr-pow_binary64`
76×	`cube-prod_binary64`
64×	`distribute-neg-frac_binary64`
57×	`swap-sqr_binary64`
41×	`distribute-rgt-out_binary64`
40×	`neg-mul-1_binary64` `neg-sub0_binary64`
38×	`sub-neg_binary64`
29×	`log-div_binary64` `distribute-lft-neg-out_binary64` `distribute-lft-out_binary64`
27×	`log-pow_binary64`
25×	`distribute-lft-in_binary64`
20×	`associate-/r*_binary64` `+-commutative_binary64`
18×	`unpow3_binary64`
17×	`associate-/l/_binary64`
16×	`pow-sqr_binary64`
15×	`cube-div_binary64` `*-rgt-identity_binary64` `distribute-rgt-neg-out_binary64` `associate-/r/_binary64`
12×	`associate-*l/_binary64`
11×	`log-rec_binary64` `*-lft-identity_binary64` `difference-of-squares_binary64` `distribute-neg-in_binary64`
10×	`pow-plus_binary64` `cube-mult_binary64`
9×	`exp-sum_binary64` `associate-*r/_binary64`
8×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64`
7×	`cube-unmult_binary64` `/-rgt-identity_binary64` `associate-+l+_binary64` `associate-+r+_binary64`
6×	`rem-sqrt-square_binary64`
4×	`exp-diff_binary64` `*-inverses_binary64`
3×	`unsub-neg_binary64`
2×	`rem-square-sqrt_binary64` `remove-double-neg_binary64` `distribute-rgt-out--_binary64` `count-2_binary64` `associate--r-_binary64` `associate--r+_binary64`
1×	`div-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `+-rgt-identity_binary64` `cancel-sign-sub_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` `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` `exp-neg_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `mul-1-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_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-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `associate--l-_binary64` `associate--l+_binary64` `associate-+l-_binary64`

Counts

189 → 115

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	192	4455
1	440	4014
2	1819	3684
3	4696	3684
4	4951	3684

prune59.0ms (1.5%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	115	0	115
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	115	4	119

Error

0.0b

Counts

119 → 4

Compiler

Compiled 2001 to 911 computations (54.5% saved)

regimes442.0ms (11.2%)

Accuracy

Total 0.0b remaining (21.3%)

Threshold costs 0.0b (21.3%)

Compiler

Compiled 2827 to 2005 computations (29.1% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64`
1×	`+-commutative_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` `neg-mul-1_binary64` `neg-sub0_binary64` `unsub-neg_binary64` `sub-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-inv_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` `distribute-lft-neg-out_binary64` `distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	14
1	13	14
2	13	14

end24.0ms (0.6%)

Remove

(sort x.im y.re)

(sort x.re y.im)

Compiler

Compiled 35 to 35 computations (0% saved)

sample715.0ms (18.1%)

Algorithm

1×

intervals

Results

225.0ms	8000×	body	128	valid
33.0ms	1354×	body	128	invalid

Compiler

Compiled 81 to 77 computations (4.9% saved)

Details

analyze902.0ms (22.8%)

sample36.0ms (0.9%)

simplify8.0ms (0.2%)

prune1.0ms (0%)

localize6.0ms (0.1%)

rewrite12.0ms (0.3%)

series42.0ms (1.1%)

simplify113.0ms (2.9%)

prune7.0ms (0.2%)

localize14.0ms (0.3%)

rewrite101.0ms (2.6%)

series220.0ms (5.6%)

simplify184.0ms (4.7%)

prune51.0ms (1.3%)

localize10.0ms (0.2%)

rewrite51.0ms (1.3%)

series188.0ms (4.8%)

simplify188.0ms (4.8%)

prune30.0ms (0.7%)

localize15.0ms (0.4%)

rewrite142.0ms (3.6%)

series221.0ms (5.6%)

simplify163.0ms (4.1%)

prune59.0ms (1.5%)

regimes442.0ms (11.2%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end24.0ms (0.6%)

sample715.0ms (18.1%)

Profiling