Details

analyze1.7s (10.7%)

Algorithm

1×	search
2×	egg-herbie

Rules

392×	`times-frac_binary64`
391×	`associate-/l*_binary64`
329×	`associate-/r*_binary64`
280×	`unswap-sqr_binary64`
232×	`associate-*r/_binary64`
224×	`associate-*l/_binary64`
197×	`sqr-pow_binary64`
138×	`exp-sum_binary64`
126×	`exp-prod_binary64`
91×	`associate-/r/_binary64`
87×	`pow-sqr_binary64`
70×	`associate-l_binary64`
69×	`*-commutative_binary64`
57×	`associate-/l/_binary64`
49×	`associate-r_binary64`
45×	`sub-neg_binary64`
44×	`exp-diff_binary64`
38×	`+-commutative_binary64`
35×	`neg-mul-1_binary64`
33×	`distribute-neg-in_binary64`
28×	`neg-sub0_binary64` `cancel-sign-sub-inv_binary64`
26×	`distribute-rgt-neg-in_binary64`
19×	`distribute-lft-neg-out_binary64`
17×	`exp-neg_binary64`
14×	`unsub-neg_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64`
12×	`exp-to-pow_binary64`
10×	`div-sub_binary64` `distribute-frac-neg_binary64`
7×	`div-exp_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `sub0-neg_binary64` `distribute-lft-neg-in_binary64` `associate-+l-_binary64` `associate-+r-_binary64` `associate-+l+_binary64`
6×	`+-rgt-identity_binary64`
5×	`rem-exp-log_binary64`
4×	`mul0-rgt_binary64` `mul0-lft_binary64`
1×	`1-exp_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` `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` `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` `mul-1-neg_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` `difference-of-squares_binary64` `swap-sqr_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-neg-out_binary64` `distribute-rgt-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--r-_binary64` `associate--l-_binary64` `associate--l+_binary64` `associate--r+_binary64` `associate-+r+_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	94	518
1	184	504
2	327	504
3	572	504
4	1474	504
5	4923	504
6	5006	504
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
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)

sample127.0ms (0.8%)

Algorithm

1×

intervals

Results

47.0ms	94×	body	1024	invalid
28.0ms	248×	body	128	valid
16.0ms	37×	body	512	invalid
3.0ms	3×	body	2048	invalid
2.0ms	10×	body	256	invalid
1.0ms	3×	body	1024	valid
1.0ms	11×	body	128	invalid
1.0ms	3×	body	512	valid
0.0ms	2×	body	256	valid

Compiler

Compiled 75 to 43 computations (42.7% saved)

simplify65.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

892×	`unswap-sqr_binary64`
461×	`associate-/l*_binary64`
323×	`associate-/r*_binary64`
296×	`associate-*l/_binary64`
286×	`associate-*r/_binary64`
284×	`sqr-pow_binary64`
201×	`*-commutative_binary64`
184×	`associate-/r/_binary64`
175×	`pow-sqr_binary64`
125×	`associate-/l/_binary64`
94×	`div-sub_binary64`
74×	`exp-sum_binary64` `associate-l_binary64`
68×	`associate-r_binary64`
60×	`sub-neg_binary64`
56×	`times-frac_binary64`
51×	`exp-prod_binary64`
47×	`neg-mul-1_binary64`
42×	`distribute-rgt-in_binary64`
37×	`*-lft-identity_binary64` `cancel-sign-sub-inv_binary64`
34×	`exp-diff_binary64`
26×	`neg-sub0_binary64`
24×	`swap-sqr_binary64` `distribute-rgt-neg-in_binary64`
20×	`cube-prod_binary64` `distribute-frac-neg_binary64` `distribute-lft-in_binary64`
19×	`unsub-neg_binary64`
16×	`distribute-rgt-neg-out_binary64` `distribute-lft-neg-in_binary64`
15×	`/-rgt-identity_binary64`
14×	`*-rgt-identity_binary64` `+-commutative_binary64`
12×	`unpow3_binary64` `cube-unmult_binary64` `distribute-neg-frac_binary64` `distribute-lft-neg-out_binary64` `associate--r+_binary64`
10×	`mul0-rgt_binary64` `mul0-lft_binary64`
9×	`+-rgt-identity_binary64` `distribute-neg-in_binary64`
8×	`pow-plus_binary64`
7×	`+-lft-identity_binary64`
6×	`sub0-neg_binary64` `associate-+l-_binary64`
5×	`exp-to-pow_binary64` `remove-double-neg_binary64`
4×	`unpow2_binary64` `exp-neg_binary64` `cube-mult_binary64` `div0_binary64`
3×	`log-pow_binary64` `--rgt-identity_binary64` `associate--r-_binary64` `associate-+l+_binary64`
2×	`cube-div_binary64` `associate-+r+_binary64`
1×	`log-rec_binary64` `log-div_binary64` `log-prod_binary64` `div-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-exp-log_binary64` `cancel-sign-sub_binary64` `associate--l+_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` `unpow1/2_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-0_binary64` `rem-log-exp_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` `mul-1-neg_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` `difference-of-squares_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`

Counts

1 → 1

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	74
1	37	72
2	62	72
3	105	72
4	245	72
5	968	72
6	2998	72
7	4028	72
8	4444	72
9	4944	72

prune8.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

33.4b

Counts

2 → 1

Compiler

Compiled 73 to 38 computations (47.9% saved)

localize23.0ms (0.1%)

Local error

Found 4 expressions with local error:

1.5b	(*.f64 (atan2.f64 x.im x.re) y.im)
29.7b	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))
29.7b	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))
32.5b	(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)))

rewrite128.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

33.3b

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:

9.0ms	(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)

series833.0ms (5.4%)

Error

20.0b

Counts

4 → 47

Calls

4 calls:

365.0ms	(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)))
206.0ms	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))
106.0ms	(*.f64 (atan2.f64 x.im x.re) y.im)
85.0ms	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))

Compiler

Compiled 4908 to 2466 computations (49.8% saved)

simplify116.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

402×	`distribute-rgt-neg-in_binary64`
395×	`neg-mul-1_binary64`
384×	`distribute-lft-neg-in_binary64`
304×	`unswap-sqr_binary64`
278×	`distribute-neg-frac_binary64`
255×	`associate-r_binary64`
251×	`associate-l_binary64`
210×	`times-frac_binary64`
189×	`div-sub_binary64`
140×	`associate-/l*_binary64`
139×	`sub-neg_binary64`
100×	`cancel-sign-sub-inv_binary64`
98×	`*-commutative_binary64`
94×	`neg-sub0_binary64`
90×	`associate-/r*_binary64`
62×	`associate-*l/_binary64`
54×	`sqr-pow_binary64`
52×	`associate-*r/_binary64`
49×	`distribute-rgt-out_binary64`
48×	`+-commutative_binary64`
44×	`difference-of-squares_binary64`
42×	`distribute-neg-in_binary64`
38×	`distribute-lft-neg-out_binary64`
35×	`unsub-neg_binary64`
33×	`associate-+r-_binary64`
31×	`distribute-rgt-in_binary64`
28×	`distribute-rgt-out--_binary64`
25×	`associate-+l-_binary64`
23×	`cube-unmult_binary64` `distribute-lft-in_binary64`
22×	`cube-prod_binary64` `distribute-rgt-neg-out_binary64`
20×	`pow-plus_binary64` `+-rgt-identity_binary64`
17×	`log-prod_binary64`
16×	`distribute-lft-out_binary64`
15×	`sub0-neg_binary64` `distribute-lft-out--_binary64` `associate-+l+_binary64`
12×	`log-div_binary64` `unpow3_binary64` `exp-prod_binary64` `associate-/r/_binary64`
11×	`associate-+r+_binary64`
8×	`*-lft-identity_binary64` `pow-sqr_binary64` `cancel-sign-sub_binary64`
7×	`*-rgt-identity_binary64` `associate--r+_binary64`
6×	`log-pow_binary64` `rem-sqrt-square_binary64`
5×	`associate--l+_binary64`
4×	`cos-neg_binary64` `log-rec_binary64` `unpow1/2_binary64` `cube-mult_binary64` `cube-div_binary64` `remove-double-neg_binary64` `swap-sqr_binary64`
3×	`associate--r-_binary64`
2×	`unpow2_binary64` `unpow1_binary64` `mul-1-neg_binary64` `--rgt-identity_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64`
1×	`exp-diff_binary64` `exp-sum_binary64` `1-exp_binary64` `exp-1-e_binary64` `cube-neg_binary64` `sqr-neg_binary64` `rem-square-sqrt_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` `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` `div-exp_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` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_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` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `count-2_binary64` `associate-/l/_binary64` `associate--l-_binary64`

Counts

103 → 64

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	152	2085
1	325	1930
2	791	1930
3	2638	1930
4	4627	1930
5	5151	1930

prune133.0ms (0.9%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	59	5	64
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	60	5	65

Error

20.1b

Counts

65 → 5

Compiler

Compiled 2877 to 918 computations (68.1% saved)

localize38.0ms (0.2%)

Local error

Found 4 expressions with local error:

29.7b	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))
32.5b	(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))))
32.5b	(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))))
32.5b	(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))))

rewrite190.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

20.1b

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

Compiler

Compiled 3576 to 1765 computations (50.6% saved)

series1.5s (9.8%)

Error

20.0b

Counts

4 → 54

Calls

4 calls:

367.0ms	(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))))
364.0ms	(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))))
359.0ms	(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))))
250.0ms	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))

Compiler

Compiled 12000 to 7166 computations (40.3% saved)

simplify131.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

402×	`distribute-rgt-neg-in_binary64`
395×	`neg-mul-1_binary64`
384×	`distribute-lft-neg-in_binary64`
298×	`unswap-sqr_binary64`
278×	`distribute-neg-frac_binary64`
228×	`distribute-rgt-in_binary64`
210×	`times-frac_binary64`
198×	`associate-r_binary64`
188×	`div-sub_binary64`
153×	`associate-l_binary64`
140×	`associate-/l*_binary64`
139×	`sub-neg_binary64`
100×	`cancel-sign-sub-inv_binary64`
94×	`neg-sub0_binary64`
90×	`associate-/r*_binary64`
75×	`*-commutative_binary64`
62×	`associate-*l/_binary64`
52×	`associate-*r/_binary64`
49×	`distribute-rgt-out_binary64`
47×	`+-commutative_binary64`
44×	`difference-of-squares_binary64`
42×	`distribute-neg-in_binary64`
38×	`distribute-lft-neg-out_binary64`
36×	`sqr-pow_binary64`
35×	`unsub-neg_binary64`
33×	`associate-+r-_binary64`
28×	`distribute-rgt-out--_binary64`
25×	`associate-+l-_binary64`
23×	`distribute-lft-in_binary64`
22×	`distribute-rgt-neg-out_binary64`
20×	`pow-plus_binary64` `cube-unmult_binary64` `+-rgt-identity_binary64`
16×	`cube-prod_binary64` `distribute-lft-out_binary64`
15×	`sub0-neg_binary64`
13×	`distribute-lft-out--_binary64` `associate-+l+_binary64`
12×	`log-div_binary64` `unpow3_binary64` `associate-/r/_binary64`
9×	`associate-+r+_binary64`
8×	`cancel-sign-sub_binary64`
7×	`associate--r+_binary64`
6×	`log-pow_binary64` `log-prod_binary64`
5×	`associate--l+_binary64`
4×	`cos-neg_binary64` `log-rec_binary64` `cube-mult_binary64` `cube-div_binary64` `rem-sqrt-square_binary64` `remove-double-neg_binary64` `pow-sqr_binary64`
3×	`associate--r-_binary64`
2×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `mul-1-neg_binary64` `--rgt-identity_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64`
1×	`1-exp_binary64` `rem-square-sqrt_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` `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` `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-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` `-rgt-identity_binary64` `-lft-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` `swap-sqr_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `count-2_binary64` `associate-/l/_binary64` `associate--l-_binary64`

Counts

93 → 59

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	122	2844
1	269	2604
2	635	2604
3	2434	2604
4	4695	2604
5	5200	2604

prune239.0ms (1.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	58	1	59
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	58	6	64

Error

20.1b

Counts

64 → 6

Compiler

Compiled 5180 to 2672 computations (48.4% saved)

localize49.0ms (0.3%)

Local error

Found 4 expressions with local error:

32.5b	(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))))
32.5b	(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))))
32.5b	(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))))
32.5b	(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))))

rewrite245.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

20.1b

Rules

4×	`cos-sum_binary64` `pow1_binary64` `add-log-exp_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`

Counts

4 → 32

Calls

4 calls:

11.0ms	(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))))
8.0ms	(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))))
8.0ms	(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))))

Compiler

Compiled 4328 to 2289 computations (47.1% saved)

series1.9s (12.3%)

Error

20.0b

Counts

4 → 48

Calls

4 calls:

419.0ms	(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))))
417.0ms	(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))))
414.0ms	(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))))
404.0ms	(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))))

Compiler

Compiled 17272 to 10183 computations (41% saved)

simplify191.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

675×	`unsub-neg_binary64`
500×	`log-div_binary64`
492×	`unswap-sqr_binary64`
439×	`distribute-neg-in_binary64`
376×	`associate-/l/_binary64`
318×	`distribute-rgt-in_binary64`
316×	`sub-neg_binary64`
281×	`distribute-lft-in_binary64`
192×	`distribute-lft-neg-in_binary64`
186×	`associate--r-_binary64`
175×	`+-commutative_binary64`
165×	`distribute-rgt-neg-in_binary64`
158×	`distribute-lft-neg-out_binary64`
151×	`*-commutative_binary64`
141×	`cancel-sign-sub-inv_binary64`
138×	`neg-sub0_binary64`
127×	`associate-l_binary64`
124×	`associate-/r_binary64` `associate-r*_binary64`
123×	`neg-mul-1_binary64` `distribute-rgt-neg-out_binary64`
115×	`associate-+l+_binary64`
112×	`cancel-sign-sub_binary64`
105×	`associate-+l-_binary64`
100×	`associate-+r+_binary64`
98×	`associate--l-_binary64`
94×	`distribute-rgt-out_binary64`
78×	`distribute-rgt-out--_binary64`
71×	`distribute-neg-out_binary64`
67×	`distribute-lft-out--_binary64`
60×	`log-prod_binary64`
59×	`associate--r+_binary64`
56×	`associate-+r-_binary64`
52×	`sqr-pow_binary64`
47×	`associate--l+_binary64`
46×	`log-rec_binary64`
39×	`count-2_binary64`
33×	`remove-double-neg_binary64` `distribute-lft-out_binary64`
29×	`-rgt-identity_binary64` `-lft-identity_binary64` `mul0-rgt_binary64`
27×	`mul0-lft_binary64`
26×	`log-pow_binary64`
24×	`sub0-neg_binary64`
19×	`pow-plus_binary64`
16×	`--rgt-identity_binary64`
15×	`distribute-rgt1-in_binary64`
13×	`cos-neg_binary64`
12×	`+-rgt-identity_binary64`
11×	`cube-unmult_binary64`
9×	`sin-neg_binary64`
8×	`cube-prod_binary64`
6×	`pow-sqr_binary64`
4×	`unpow2_binary64` `+-lft-identity_binary64`
2×	`unpow3_binary64` `unpow1/2_binary64` `unpow1_binary64` `cube-mult_binary64` `rem-sqrt-square_binary64` `mul-1-neg_binary64`
1×	`1-exp_binary64` `distribute-lft1-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` `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` `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-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` `rem-square-sqrt_binary64` `times-frac_binary64` `div-sub_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` `difference-of-squares_binary64` `swap-sqr_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `associate-/r/_binary64` `associate-/l_binary64` `associate-l/_binary64` `associate-r/_binary64`

Counts

80 → 52

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	77	2976
1	113	2684
2	153	2684
3	305	2684
4	872	2684
5	2079	2684
6	2917	2684
7	4867	2684
8	5094	2684

prune312.0ms (2%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	52	0	52
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	52	6	58

Error

20.1b

Counts

58 → 6

Compiler

Compiled 6511 to 3338 computations (48.7% saved)

localize23.0ms (0.1%)

Local error

Found 4 expressions with local error:

1.2b	(*.f64 (atan2.f64 x.im x.re) y.re)
1.5b	(*.f64 (atan2.f64 x.im x.re) y.im)
19.0b	(cos.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.im)) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
29.7b	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))

rewrite109.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

20.1b

Rules

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

Counts

4 → 59

Calls

4 calls:

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

Compiler

Compiled 2275 to 371 computations (83.7% saved)

series888.0ms (5.7%)

Error

12.5b

Counts

4 → 43

Calls

4 calls:

490.0ms	(cos.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.im)) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
139.0ms	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))
104.0ms	(*.f64 (atan2.f64 x.im x.re) y.re)
99.0ms	(*.f64 (atan2.f64 x.im x.re) y.im)

Compiler

Compiled 3883 to 1951 computations (49.8% saved)

simplify108.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

391×	`cancel-sign-sub-inv_binary64`
305×	`associate-l_binary64`
244×	`associate-r_binary64`
243×	`distribute-rgt-neg-in_binary64`
241×	`neg-mul-1_binary64`
238×	`unswap-sqr_binary64`
232×	`neg-sub0_binary64`
227×	`distribute-lft-neg-in_binary64`
200×	`distribute-rgt-in_binary64`
195×	`unsub-neg_binary64`
165×	`distribute-lft-in_binary64`
163×	`associate-/r/_binary64`
140×	`distribute-neg-frac_binary64`
133×	`div-sub_binary64`
116×	`associate-/l/_binary64`
112×	`sub-neg_binary64`
100×	`*-commutative_binary64`
99×	`times-frac_binary64`
75×	`associate-/l*_binary64`
62×	`sqr-pow_binary64`
50×	`associate-/r*_binary64`
44×	`difference-of-squares_binary64` `distribute-rgt-out_binary64`
39×	`+-commutative_binary64`
36×	`associate-*l/_binary64`
31×	`log-prod_binary64` `distribute-lft-neg-out_binary64`
28×	`associate-*r/_binary64`
27×	`cube-prod_binary64`
26×	`distribute-neg-in_binary64` `distribute-rgt-out--_binary64`
25×	`associate-+r-_binary64`
22×	`associate-+l-_binary64`
21×	`cube-unmult_binary64`
20×	`exp-prod_binary64`
19×	`pow-plus_binary64`
18×	`distribute-rgt-neg-out_binary64`
16×	`+-rgt-identity_binary64`
15×	`sub0-neg_binary64`
14×	`*-lft-identity_binary64` `associate-+l+_binary64`
13×	`distribute-lft-out--_binary64` `distribute-lft-out_binary64`
12×	`unpow3_binary64`
11×	`*-rgt-identity_binary64` `pow-sqr_binary64`
10×	`associate-+r+_binary64`
6×	`log-div_binary64` `rem-sqrt-square_binary64` `swap-sqr_binary64` `associate--l+_binary64` `associate--r+_binary64`
5×	`unpow1/2_binary64` `associate--r-_binary64`
3×	`cos-neg_binary64` `log-pow_binary64` `cube-mult_binary64` `sqr-neg_binary64` `--rgt-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64`
2×	`log-rec_binary64` `unpow2_binary64` `unpow1_binary64` `exp-sum_binary64` `remove-double-neg_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `count-2_binary64`
1×	`sin-neg_binary64` `exp-diff_binary64` `1-exp_binary64` `exp-1-e_binary64` `cube-neg_binary64` `rem-square-sqrt_binary64` `mul-1-neg_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` `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` `div-exp_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-div_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_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-rgt1-in_binary64` `distribute-lft1-in_binary64` `associate--l-_binary64`

Counts

102 → 58

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	153	1821
1	329	1632
2	784	1632
3	2057	1632
4	4334	1632
5	4944	1632

prune79.0ms (0.5%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	57	1	58
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	57	7	64

Error

12.6b

Counts

64 → 7

Compiler

Compiled 2019 to 357 computations (82.3% saved)

regimes1.1s (6.9%)

Accuracy

Total 3.2b remaining (22.8%)

Threshold costs 0b (0%)

Compiler

Compiled 12797 to 8005 computations (37.4% saved)

bsearch97.0ms (0.6%)

Steps

Iters	Range		Point
9	-1.393092236989988e-18	-1.5939826415196895e-23	-9.270430618746543e-23

Compiler

Compiled 1 to 4 computations (-300% saved)

simplify7.0ms (0%)

Algorithm

1×	egg-herbie

Rules

11×	`*-commutative_binary64`
8×	`+-commutative_binary64`
6×	`sub-neg_binary64`
4×	`neg-mul-1_binary64` `neg-sub0_binary64` `cancel-sign-sub-inv_binary64`
2×	`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	34	107
1	53	107
2	63	107
3	70	107
4	74	107
5	75	107
6	75	107

end0.0ms (0%)

sample5.2s (33.6%)

Algorithm

1×

intervals

Results

1.3s	2595×	body	1024	invalid
842.0ms	7596×	body	128	valid
337.0ms	982×	body	512	invalid
93.0ms	391×	body	256	invalid
87.0ms	168×	body	1024	valid
63.0ms	535×	body	128	invalid
44.0ms	129×	body	512	valid
22.0ms	29×	body	2048	invalid
21.0ms	92×	body	256	valid
12.0ms	15×	body	2048	valid

Compiler

Compiled 2635 to 1640 computations (37.8% saved)

Details

analyze1.7s (10.7%)

sample127.0ms (0.8%)

simplify65.0ms (0.4%)

prune8.0ms (0.1%)

localize23.0ms (0.1%)

rewrite128.0ms (0.8%)

series833.0ms (5.4%)

simplify116.0ms (0.8%)

prune133.0ms (0.9%)

localize38.0ms (0.2%)

rewrite190.0ms (1.2%)

series1.5s (9.8%)

simplify131.0ms (0.8%)

prune239.0ms (1.5%)

localize49.0ms (0.3%)

rewrite245.0ms (1.6%)

series1.9s (12.3%)

simplify191.0ms (1.2%)

prune312.0ms (2%)

localize23.0ms (0.1%)

rewrite109.0ms (0.7%)

series888.0ms (5.7%)

simplify108.0ms (0.7%)

prune79.0ms (0.5%)

regimes1.1s (6.9%)

bsearch97.0ms (0.6%)

simplify7.0ms (0%)

end0.0ms (0%)

sample5.2s (33.6%)

Profiling