Details

analyze1.4s (8.5%)

Algorithm

1×

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
9.4%	90.4%	0.2%	6
17.2%	82.7%	0.2%	7
19.5%	80.3%	0.2%	8
30.8%	69%	0.2%	9
35.5%	64.3%	0.2%	10
42.4%	57.4%	0.2%	11
47.1%	52.7%	0.2%	12
48.9%	50.8%	0.3%	13
50%	49.7%	0.4%	14

Compiler

Compiled 38 to 20 computations (47.4% saved)

sample118.0ms (0.7%)

Algorithm

1×

intervals

Results

41.0ms	71×	body	1024	invalid
27.0ms	241×	body	128	valid
12.0ms	35×	body	512	invalid
3.0ms	10×	body	512	valid
3.0ms	27×	body	128	invalid
3.0ms	13×	body	256	invalid
1.0ms	2×	body	1024	valid
1.0ms	1×	body	2048	valid
1.0ms	1×	body	2048	invalid
0.0ms	2×	body	256	valid

Compiler

Compiled 75 to 43 computations (42.7% saved)

simplify354.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

533×	`distribute-rgt-out--_binary64`
459×	`associate-/l*_binary64`
318×	`associate-/r*_binary64`
288×	`associate-*r/_binary64`
283×	`unswap-sqr_binary64` `associate-*l/_binary64`
216×	`exp-prod_binary64`
183×	`associate-/r/_binary64`
181×	`sqr-pow_binary64`
173×	`swap-sqr_binary64`
160×	`*-commutative_binary64`
155×	`distribute-rgt-neg-in_binary64`
125×	`associate-/l/_binary64`
123×	`pow-sqr_binary64`
98×	`sub-neg_binary64`
74×	`associate-l_binary64`
70×	`associate-r_binary64`
69×	`exp-sum_binary64` `div-sub_binary64`
56×	`times-frac_binary64`
55×	`cancel-sign-sub-inv_binary64`
54×	`distribute-rgt-out_binary64`
44×	`distribute-lft-out_binary64`
43×	`distribute-lft-neg-in_binary64`
40×	`unsub-neg_binary64` `distribute-lft-out--_binary64`
37×	`exp-diff_binary64` `*-lft-identity_binary64`
34×	`neg-mul-1_binary64`
29×	`distribute-rgt1-in_binary64` `distribute-rgt-in_binary64`
26×	`neg-sub0_binary64`
20×	`distribute-frac-neg_binary64`
19×	`distribute-neg-in_binary64`
17×	`distribute-neg-out_binary64`
16×	`distribute-neg-frac_binary64` `distribute-rgt-neg-out_binary64` `+-commutative_binary64`
15×	`/-rgt-identity_binary64` `distribute-lft-in_binary64`
14×	`pow-plus_binary64`
13×	`*-rgt-identity_binary64`
12×	`cube-prod_binary64` `mul0-lft_binary64` `distribute-lft-neg-out_binary64`
10×	`cube-unmult_binary64`
9×	`distribute-lft1-in_binary64` `associate--r+_binary64`
8×	`mul0-rgt_binary64` `+-inverses_binary64` `associate-+l-_binary64`
7×	`remove-double-neg_binary64` `+-rgt-identity_binary64`
6×	`sub0-neg_binary64` `div0_binary64` `associate-+r-_binary64`
5×	`unpow3_binary64` `exp-to-pow_binary64` `associate-+l+_binary64`
4×	`--rgt-identity_binary64` `+-lft-identity_binary64` `associate-+r+_binary64`
3×	`div-exp_binary64` `prod-exp_binary64` `exp-neg_binary64` `cube-div_binary64` `count-2_binary64`
2×	`associate--r-_binary64`
1×	`pow-base-1_binary64` `exp-lft-sqr_binary64` `exp-sqrt_binary64` `1-exp_binary64` `rem-exp-log_binary64` `rem-sqrt-square_binary64` `*-inverses_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` `log-prod_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `unpow2_binary64` `unpow1/2_binary64` `unpow0_binary64` `unpow1_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-cbrt_binary64` `rec-exp_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `cube-mult_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` `mul-1-neg_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `associate--l-_binary64`

Counts

1 → 4

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	74
1	37	72
2	62	72
3	105	72
4	249	72
5	970	72
6	3051	72
7	3583	72

prune22.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	3	1	4
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	3	2	5

Error

33.3b

Counts

5 → 2

Compiler

Compiled 218 to 68 computations (68.8% saved)

localize24.0ms (0.1%)

Local error

Found 4 expressions with local error:

1.6b	(*.f64 (atan2.f64 x.im x.re) y.im)
28.1b	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))
28.1b	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))
33.9b	(cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))

rewrite131.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

33.2b

Rules

12×	`add-sqr-sqrt_binary64`
8×	`pow1_binary64` `add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
6×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `sqrt-prod_binary64`
4×	`add-log-exp_binary64` `sqrt-div_binary64`
3×	`associate-l_binary64` `associate-r_binary64`
2×	`pow1/2_binary64` `sqrt-pow1_binary64` `flip3-+_binary64` `flip-+_binary64` `rem-sqrt-square_binary64`
1×	`cos-sum_binary64` `pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `*-commutative_binary64`

Counts

4 → 56

Calls

4 calls:

8.0ms	(cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
5.0ms	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))
4.0ms	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))
4.0ms	(*.f64 (atan2.f64 x.im x.re) y.im)

Compiler

Compiled 2594 to 353 computations (86.4% saved)

series916.0ms (5.5%)

Error

17.3b

Counts

4 → 50

Calls

4 calls:

412.0ms	(cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
210.0ms	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))
110.0ms	(*.f64 (atan2.f64 x.im x.re) y.im)
103.0ms	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))

Compiler

Compiled 5269 to 2666 computations (49.4% saved)

simplify217.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

459×	`cancel-sign-sub-inv_binary64`
328×	`distribute-rgt-neg-in_binary64`
299×	`distribute-lft-neg-in_binary64`
276×	`unswap-sqr_binary64`
259×	`associate-r_binary64`
254×	`associate-l_binary64`
218×	`distribute-neg-frac_binary64`
213×	`distribute-rgt-in_binary64`
174×	`distribute-lft-in_binary64`
142×	`sub-neg_binary64`
119×	`times-frac_binary64`
110×	`associate-/l*_binary64`
105×	`sqr-pow_binary64`
102×	`*-commutative_binary64`
101×	`neg-sub0_binary64`
99×	`neg-mul-1_binary64`
83×	`associate-/r*_binary64`
72×	`associate-*l/_binary64`
69×	`distribute-lft-neg-out_binary64` `associate-*r/_binary64`
63×	`pow-sqr_binary64`
48×	`difference-of-squares_binary64`
45×	`+-commutative_binary64`
40×	`pow-plus_binary64` `distribute-rgt-neg-out_binary64`
39×	`distribute-rgt-out_binary64`
34×	`unsub-neg_binary64` `associate-+r-_binary64`
30×	`div-sub_binary64`
28×	`associate-+l-_binary64`
26×	`associate-/r/_binary64`
25×	`distribute-neg-in_binary64`
21×	`+-rgt-identity_binary64`
20×	`cube-prod_binary64` `distribute-rgt-out--_binary64`
19×	`associate-+l+_binary64` `associate-+r+_binary64`
16×	`log-prod_binary64` `sub0-neg_binary64`
15×	`exp-prod_binary64` `cube-unmult_binary64`
14×	`log-div_binary64`
9×	`unpow3_binary64` `*-rgt-identity_binary64` `distribute-lft-out--_binary64`
8×	`exp-sqrt_binary64` `*-lft-identity_binary64`
7×	`cube-div_binary64` `distribute-frac-neg_binary64` `associate--r+_binary64`
6×	`swap-sqr_binary64` `distribute-lft-out_binary64`
5×	`cancel-sign-sub_binary64` `associate-/l/_binary64` `associate--l+_binary64`
4×	`log-pow_binary64` `cube-mult_binary64`
3×	`rem-sqrt-square_binary64` `remove-double-neg_binary64` `mul0-lft_binary64` `associate--r-_binary64`
2×	`log-rec_binary64` `unpow2_binary64` `unpow1_binary64` `mul-1-neg_binary64` `--rgt-identity_binary64` `mul0-rgt_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64`
1×	`exp-lft-sqr_binary64` `prod-exp_binary64` `exp-diff_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-log-exp_binary64` `rem-square-sqrt_binary64` `*-inverses_binary64` `rgt-mult-inverse_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` `unpow1/2_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-cbrt_binary64` `div-exp_binary64` `rec-exp_binary64` `exp-neg_binary64` `exp-sum_binary64` `e-exp-1_binary64` `exp-0_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` `/-rgt-identity_binary64` `+-lft-identity_binary64` `div0_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `distribute-lft1-in_binary64` `count-2_binary64` `associate--l-_binary64`

Counts

106 → 170

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	158	2237
1	346	2090
2	988	2090
3	2618	2090

prune379.0ms (2.3%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	161	9	170
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	162	10	172

Error

17.8b

Counts

172 → 10

Compiler

Compiled 8691 to 3016 computations (65.3% saved)

localize28.0ms (0.2%)

Local error

Found 4 expressions with local error:

5.6b	(cbrt.f64 (atan2.f64 x.im x.re))
28.1b	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))
28.1b	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))
33.9b	(cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))

rewrite112.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

17.8b

Rules

9×	`add-sqr-sqrt_binary64`
7×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
6×	`pow1_binary64` `sqrt-prod_binary64`
4×	`add-log-exp_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `sqrt-div_binary64`
3×	`cbrt-prod_binary64`
2×	`pow1/2_binary64` `sqrt-pow1_binary64` `flip3-+_binary64` `flip-+_binary64` `rem-sqrt-square_binary64`
1×	`cos-sum_binary64` `pow1/3_binary64`

Counts

4 → 49

Calls

4 calls:

6.0ms	(cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
4.0ms	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))
4.0ms	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))
1.0ms	(cbrt.f64 (atan2.f64 x.im x.re))

Compiler

Compiled 2832 to 332 computations (88.3% saved)

series1.0s (6.3%)

Error

17.2b

Counts

4 → 47

Calls

4 calls:

383.0ms	(cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
255.0ms	(cbrt.f64 (atan2.f64 x.im x.re))
211.0ms	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))
105.0ms	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))

Compiler

Compiled 6318 to 2848 computations (54.9% saved)

simplify200.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

513×	`cancel-sign-sub-inv_binary64`
326×	`distribute-rgt-neg-in_binary64`
306×	`unswap-sqr_binary64`
297×	`distribute-lft-neg-in_binary64`
230×	`distribute-rgt-in_binary64`
224×	`associate-r_binary64`
216×	`distribute-neg-frac_binary64`
190×	`distribute-lft-in_binary64`
178×	`associate-l_binary64`
142×	`sub-neg_binary64`
119×	`times-frac_binary64`
110×	`associate-/l*_binary64`
101×	`neg-sub0_binary64` `sqr-pow_binary64`
99×	`neg-mul-1_binary64`
93×	`*-commutative_binary64`
83×	`associate-/r*_binary64`
70×	`distribute-lft-neg-out_binary64`
66×	`pow-sqr_binary64`
55×	`associate-l/_binary64` `associate-r/_binary64`
48×	`difference-of-squares_binary64`
45×	`+-commutative_binary64`
41×	`pow-plus_binary64`
40×	`distribute-rgt-neg-out_binary64`
38×	`log-prod_binary64` `distribute-rgt-out_binary64`
34×	`unsub-neg_binary64` `associate-+r-_binary64`
30×	`div-sub_binary64`
28×	`associate-+l-_binary64`
26×	`associate-/r/_binary64`
25×	`distribute-neg-in_binary64`
21×	`+-rgt-identity_binary64`
20×	`distribute-rgt-out--_binary64`
17×	`associate-+l+_binary64` `associate-+r+_binary64`
16×	`sub0-neg_binary64`
15×	`cube-unmult_binary64` `cube-prod_binary64`
13×	`log-pow_binary64`
9×	`distribute-lft-out--_binary64`
8×	`log-div_binary64` `unpow3_binary64`
7×	`rem-sqrt-square_binary64` `distribute-frac-neg_binary64` `distribute-lft-out_binary64` `associate--r+_binary64`
6×	`exp-prod_binary64` `associate-/l/_binary64`
5×	`cancel-sign-sub_binary64` `associate--l+_binary64`
4×	`cube-mult_binary64`
3×	`remove-double-neg_binary64` `mul0-lft_binary64` `associate--r-_binary64`
2×	`log-rec_binary64` `unpow2_binary64` `unpow1_binary64` `mul-1-neg_binary64` `--rgt-identity_binary64` `mul0-rgt_binary64` `swap-sqr_binary64` `distribute-neg-out_binary64`
1×	`unpow1/3_binary64` `exp-diff_binary64` `1-exp_binary64` `rem-log-exp_binary64` `rem-3cbrt-lft_binary64` `rem-square-sqrt_binary64` `-rgt-identity_binary64` `-inverses_binary64` `rgt-mult-inverse_binary64` `distribute-rgt1-in_binary64` `count-2_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` `unpow1/2_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` `prod-exp_binary64` `exp-neg_binary64` `exp-sum_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-exp-log_binary64` `cube-div_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `/-rgt-identity_binary64` `*-lft-identity_binary64` `+-lft-identity_binary64` `div0_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `distribute-lft1-in_binary64` `associate--l-_binary64`

Counts

96 → 149

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	144	2060
1	310	1949
2	880	1949
3	2492	1949

prune393.0ms (2.4%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	146	3	149
Fresh	3	6	9
Picked	1	0	1
Done	0	0	0
Total	150	9	159

Error

17.8b

Counts

159 → 9

Compiler

Compiled 9384 to 2820 computations (69.9% saved)

localize35.0ms (0.2%)

Local error

Found 4 expressions with local error:

5.6b	(cbrt.f64 (atan2.f64 x.im x.re))
28.1b	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))
28.1b	(sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2)))
33.9b	(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2)))))))

rewrite158.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

17.8b

Rules

11×	`*-un-lft-identity_binary64`
9×	`add-sqr-sqrt_binary64`
8×	`sqrt-prod_binary64`
7×	`add-cube-cbrt_binary64`
6×	`pow1_binary64`
4×	`add-log-exp_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `sqrt-div_binary64`
3×	`cbrt-prod_binary64`
2×	`pow1/2_binary64` `sqrt-pow1_binary64` `flip3-+_binary64` `flip-+_binary64` `unpow-prod-down_binary64` `distribute-lft-out_binary64` `rem-sqrt-square_binary64`
1×	`cos-sum_binary64` `pow1/3_binary64`

Counts

4 → 51

Calls

4 calls:

11.0ms	(sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2)))
6.0ms	(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2)))))))
4.0ms	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))
1.0ms	(cbrt.f64 (atan2.f64 x.im x.re))

Compiler

Compiled 3089 to 1113 computations (64% saved)

series1.0s (6.2%)

Error

17.2b

Counts

4 → 46

Calls

4 calls:

349.0ms	(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2)))))))
262.0ms	(cbrt.f64 (atan2.f64 x.im x.re))
221.0ms	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))
105.0ms	(sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2)))

Compiler

Compiled 6492 to 3486 computations (46.3% saved)

simplify270.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

468×	`cancel-sign-sub-inv_binary64`
312×	`unswap-sqr_binary64`
228×	`distribute-rgt-neg-in_binary64`
217×	`distribute-rgt-in_binary64`
214×	`distribute-lft-neg-in_binary64`
212×	`associate-/r/_binary64`
174×	`distribute-lft-in_binary64`
171×	`associate-r_binary64`
149×	`associate-l_binary64`
146×	`distribute-neg-frac_binary64`
135×	`sub-neg_binary64`
126×	`associate-/l/_binary64`
120×	`sqr-pow_binary64`
85×	`neg-sub0_binary64`
84×	`neg-mul-1_binary64` `pow-sqr_binary64`
73×	`*-commutative_binary64`
69×	`distribute-rgt-out_binary64`
68×	`associate-/l*_binary64`
62×	`times-frac_binary64`
56×	`pow-plus_binary64` `distribute-lft-neg-out_binary64`
53×	`difference-of-squares_binary64`
50×	`distribute-rgt-out--_binary64`
48×	`associate-/r*_binary64`
46×	`log-prod_binary64`
44×	`+-commutative_binary64`
40×	`associate-*l/_binary64`
37×	`associate-*r/_binary64`
35×	`distribute-rgt-neg-out_binary64`
34×	`unsub-neg_binary64`
29×	`log-pow_binary64` `associate-+r-_binary64`
27×	`associate-+l-_binary64`
25×	`distribute-neg-in_binary64`
24×	`div-sub_binary64`
20×	`+-rgt-identity_binary64`
19×	`cube-prod_binary64`
17×	`cube-unmult_binary64` `associate-+l+_binary64`
15×	`sub0-neg_binary64`
14×	`log-div_binary64`
13×	`exp-prod_binary64` `associate-+r+_binary64`
12×	`distribute-lft-out--_binary64`
11×	`unpow3_binary64`
10×	`distribute-lft-out_binary64`
8×	`rem-sqrt-square_binary64`
7×	`associate--r+_binary64`
6×	`pow-base-1_binary64` `cube-div_binary64`
5×	`cancel-sign-sub_binary64` `associate--l+_binary64`
4×	`log-rec_binary64` `cube-mult_binary64` `swap-sqr_binary64` `count-2_binary64`
3×	`unpow2_binary64` `/-rgt-identity_binary64` `remove-double-neg_binary64` `mul0-lft_binary64` `distribute-rgt1-in_binary64` `associate--r-_binary64`
2×	`unpow1_binary64` `mul-1-neg_binary64` `--rgt-identity_binary64` `mul0-rgt_binary64` `distribute-neg-out_binary64`
1×	`unpow1/3_binary64` `exp-to-pow_binary64` `exp-lft-sqr_binary64` `exp-sqrt_binary64` `prod-exp_binary64` `exp-diff_binary64` `1-exp_binary64` `rem-log-exp_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-square-sqrt_binary64` `-rgt-identity_binary64` `-inverses_binary64` `rgt-mult-inverse_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` `unpow1/2_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-cbrt_binary64` `div-exp_binary64` `rec-exp_binary64` `exp-neg_binary64` `exp-sum_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `*-lft-identity_binary64` `+-lft-identity_binary64` `div0_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `distribute-frac-neg_binary64` `distribute-lft1-in_binary64` `associate--l-_binary64`

Counts

97 → 145

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	165	2017
1	295	1916
2	795	1914
3	2061	1914

prune434.0ms (2.6%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	143	2	145
Fresh	1	7	8
Picked	0	1	1
Done	0	0	0
Total	144	10	154

Error

17.8b

Counts

154 → 10

Compiler

Compiled 9332 to 3996 computations (57.2% saved)

localize46.0ms (0.3%)

Local error

Found 4 expressions with local error:

28.1b	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))
33.9b	(cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) y.im) (.f64 y.re (atan2.f64 x.im x.re))))
33.9b	(cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) y.im) (.f64 y.re (atan2.f64 x.im x.re))))
33.9b	(cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) y.im) (.f64 y.re (atan2.f64 x.im x.re))))

rewrite209.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

17.8b

Rules

6×	`add-sqr-sqrt_binary64`
5×	`pow1_binary64` `add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
4×	`add-log-exp_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`cos-sum_binary64` `sqrt-prod_binary64`
2×	`sqrt-div_binary64`
1×	`pow1/2_binary64` `sqrt-pow1_binary64` `flip3-+_binary64` `flip-+_binary64` `rem-sqrt-square_binary64`

Counts

4 → 39

Calls

4 calls:

7.0ms	(cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) y.im) (.f64 y.re (atan2.f64 x.im x.re))))
7.0ms	(cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) y.im) (.f64 y.re (atan2.f64 x.im x.re))))
7.0ms	(cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) y.im) (.f64 y.re (atan2.f64 x.im x.re))))
4.0ms	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))

Compiler

Compiled 4044 to 1807 computations (55.3% saved)

series1.8s (10.9%)

Error

17.8b

Counts

4 → 57

Calls

4 calls:

452.0ms	(cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) y.im) (.f64 y.re (atan2.f64 x.im x.re))))
436.0ms	(cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) y.im) (.f64 y.re (atan2.f64 x.im x.re))))
423.0ms	(cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) y.im) (.f64 y.re (atan2.f64 x.im x.re))))
259.0ms	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))

Compiler

Compiled 14628 to 8063 computations (44.9% saved)

simplify271.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

449×	`cancel-sign-sub-inv_binary64`
326×	`distribute-rgt-neg-in_binary64`
297×	`distribute-lft-neg-in_binary64`
264×	`unswap-sqr_binary64`
216×	`distribute-neg-frac_binary64`
213×	`distribute-rgt-in_binary64`
201×	`associate-r_binary64`
176×	`associate-/l/_binary64`
174×	`distribute-lft-in_binary64`
151×	`associate-l_binary64`
142×	`sub-neg_binary64`
119×	`times-frac_binary64`
110×	`associate-/l*_binary64`
101×	`neg-sub0_binary64`
99×	`neg-mul-1_binary64`
86×	`sqr-pow_binary64`
85×	`*-commutative_binary64`
83×	`associate-/r*_binary64`
69×	`distribute-lft-neg-out_binary64`
56×	`pow-sqr_binary64`
55×	`associate-*l/_binary64`
54×	`associate-*r/_binary64`
48×	`difference-of-squares_binary64`
46×	`+-commutative_binary64`
40×	`pow-plus_binary64` `distribute-rgt-neg-out_binary64`
37×	`distribute-rgt-out_binary64`
34×	`unsub-neg_binary64` `associate-+r-_binary64`
30×	`div-sub_binary64`
28×	`associate-+l-_binary64`
26×	`associate-/r/_binary64`
25×	`distribute-neg-in_binary64`
21×	`+-rgt-identity_binary64`
20×	`distribute-rgt-out--_binary64`
17×	`associate-+l+_binary64` `associate-+r+_binary64`
16×	`sub0-neg_binary64`
12×	`cube-unmult_binary64` `cube-prod_binary64`
9×	`distribute-lft-out--_binary64`
8×	`log-div_binary64` `unpow3_binary64`
7×	`distribute-frac-neg_binary64` `associate--r+_binary64`
6×	`distribute-lft-out_binary64`
5×	`cancel-sign-sub_binary64` `associate--l+_binary64`
4×	`log-pow_binary64` `log-prod_binary64` `cube-mult_binary64`
3×	`remove-double-neg_binary64` `mul0-lft_binary64` `associate--r-_binary64`
2×	`log-rec_binary64` `unpow2_binary64` `unpow1_binary64` `rem-sqrt-square_binary64` `mul-1-neg_binary64` `--rgt-identity_binary64` `mul0-rgt_binary64` `swap-sqr_binary64` `distribute-neg-out_binary64` `count-2_binary64`
1×	`exp-diff_binary64` `1-exp_binary64` `rem-log-exp_binary64` `rem-square-sqrt_binary64` `-rgt-identity_binary64` `-inverses_binary64` `rgt-mult-inverse_binary64` `distribute-rgt1-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` `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` `unpow1/2_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` `exp-prod_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-neg_binary64` `exp-sum_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-exp-log_binary64` `cube-div_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` `/-rgt-identity_binary64` `*-lft-identity_binary64` `+-lft-identity_binary64` `div0_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `distribute-lft1-in_binary64` `associate--l-_binary64`

Counts

96 → 142

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	126	3074
1	290	2829
2	827	2829
3	2344	2829

prune780.0ms (4.7%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	140	2	142
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	140	12	152

Error

17.8b

Counts

152 → 12

Compiler

Compiled 14457 to 6755 computations (53.3% saved)

regimes1.0s (6.1%)

Accuracy

Total 0.5b remaining (2.5%)

Threshold costs 0.5b (2.5%)

Compiler

Compiled 14597 to 8560 computations (41.4% saved)

bsearch0.0ms (0%)

simplify8.0ms (0%)

Algorithm

1×	egg-herbie

Rules

10×	`*-commutative_binary64`
7×	`+-commutative_binary64`
6×	`sub-neg_binary64`
5×	`neg-mul-1_binary64` `neg-sub0_binary64` `distribute-rgt-neg-in_binary64`
4×	`distribute-lft-neg-in_binary64`
2×	`cancel-sign-sub-inv_binary64`
1×	`distribute-lft-neg-out_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	23	72
1	34	72
2	47	72
3	60	72
4	68	72
5	72	72
6	73	72

Proof

(* f64 (exp f64 (- f64 (* f64 (log f64 (sqrt f64 (+ f64 (* f64 (x re) (x re)) (* f64 (x im) (x im))))) (y re)) (* f64 (* f64 (cbrt f64 (atan2 f64 (x im) (x re))) (cbrt f64 (atan2 f64 (x im) (x re)))) (=> (* f64 (y im) (cbrt f64 (atan2 f64 (x im) (x re)))))))) (cos f64 (* f64 (y re) (atan2 f64 (x im) (x re)))))
*-commutative_binary64 =>
(* f64 (exp f64 (- f64 (* f64 (log f64 (sqrt f64 (+ f64 (* f64 (x re) (x re)) (* f64 (x im) (x im))))) (y re)) (* f64 (* f64 (cbrt f64 (atan2 f64 (x im) (x re))) (cbrt f64 (atan2 f64 (x im) (x re)))) (* f64 (cbrt f64 (atan2 f64 (x im) (x re))) (y im))))) (cos f64 (* f64 (y re) (atan2 f64 (x im) (x re)))))

end0.0ms (0%)

sample5.1s (31%)

Algorithm

1×

intervals

Results

1.2s	2447×	body	1024	invalid
811.0ms	7596×	body	128	valid
340.0ms	993×	body	512	invalid
93.0ms	394×	body	256	invalid
90.0ms	173×	body	1024	valid
66.0ms	542×	body	128	invalid
49.0ms	148×	body	512	valid
23.0ms	31×	body	2048	invalid
17.0ms	77×	body	256	valid
5.0ms	6×	body	2048	valid

Compiler

Compiled 2977 to 1742 computations (41.5% saved)

Details

analyze1.4s (8.5%)

sample118.0ms (0.7%)

simplify354.0ms (2.1%)

prune22.0ms (0.1%)

localize24.0ms (0.1%)

rewrite131.0ms (0.8%)

series916.0ms (5.5%)

simplify217.0ms (1.3%)

prune379.0ms (2.3%)

localize28.0ms (0.2%)

rewrite112.0ms (0.7%)

series1.0s (6.3%)

simplify200.0ms (1.2%)

prune393.0ms (2.4%)

localize35.0ms (0.2%)

rewrite158.0ms (1%)

series1.0s (6.2%)

simplify270.0ms (1.6%)

prune434.0ms (2.6%)

localize46.0ms (0.3%)

rewrite209.0ms (1.3%)

series1.8s (10.9%)

simplify271.0ms (1.6%)

prune780.0ms (4.7%)

regimes1.0s (6.1%)

bsearch0.0ms (0%)

simplify8.0ms (0%)

end0.0ms (0%)

sample5.1s (31%)

Profiling