Details

analyze1.5s (15.4%)

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)

sample102.0ms (1%)

Algorithm

1×

intervals

Results

30.0ms	60×	body	1024	invalid
26.0ms	245×	body	128	valid
15.0ms	33×	body	512	invalid
2.0ms	11×	body	256	invalid
2.0ms	15×	body	128	invalid
2.0ms	3×	body	1024	valid
1.0ms	1×	body	2048	valid
1.0ms	3×	body	512	valid
1.0ms	4×	body	256	valid

Compiler

Compiled 75 to 43 computations (42.7% saved)

simplify66.0ms (0.7%)

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

33.1b

Counts

2 → 1

Compiler

Compiled 73 to 38 computations (47.9% saved)

localize24.0ms (0.2%)

Local error

Found 4 expressions with local error:

1.4b	(*.f64 (atan2.f64 x.im x.re) y.re)
29.0b	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))
29.0b	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))
33.1b	(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)))

rewrite127.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

33.1b

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)))
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)))
4.0ms	(*.f64 (atan2.f64 x.im x.re) y.re)

Compiler

Compiled 2420 to 343 computations (85.8% saved)

series252.0ms (2.5%)

Error

17.4b

Counts

4 → 53

Calls

4 calls:

94.0ms	(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)))
52.0ms	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))
35.0ms	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))
26.0ms	(*.f64 (atan2.f64 x.im x.re) y.re)

Compiler

Compiled 4835 to 2714 computations (43.9% saved)

simplify127.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

512×	`distribute-rgt-neg-in_binary64`
350×	`distribute-neg-frac_binary64`
309×	`associate-r_binary64`
306×	`unswap-sqr_binary64`
279×	`associate-l_binary64`
264×	`times-frac_binary64`
239×	`div-sub_binary64`
188×	`associate-/l*_binary64`
147×	`sub-neg_binary64`
126×	`associate-/r*_binary64`
124×	`*-commutative_binary64`
111×	`neg-sub0_binary64`
108×	`neg-mul-1_binary64`
106×	`cancel-sign-sub-inv_binary64`
94×	`distribute-lft-neg-in_binary64`
79×	`associate-*l/_binary64`
73×	`associate-*r/_binary64`
54×	`sqr-pow_binary64`
50×	`+-commutative_binary64`
44×	`difference-of-squares_binary64`
42×	`distribute-neg-in_binary64`
38×	`distribute-lft-neg-out_binary64`
35×	`unsub-neg_binary64`
34×	`associate-+r-_binary64`
31×	`distribute-rgt-in_binary64` `associate-/r/_binary64`
26×	`associate-+l-_binary64`
23×	`cube-unmult_binary64` `distribute-lft-in_binary64`
22×	`distribute-rgt-neg-out_binary64`
21×	`+-rgt-identity_binary64`
20×	`pow-plus_binary64` `cube-prod_binary64`
16×	`sub0-neg_binary64`
15×	`log-prod_binary64` `associate-+l+_binary64`
12×	`log-div_binary64` `unpow3_binary64`
11×	`associate-+r+_binary64`
10×	`exp-prod_binary64`
8×	`pow-sqr_binary64` `cancel-sign-sub_binary64`
7×	`*-lft-identity_binary64` `distribute-rgt-out--_binary64` `associate--r+_binary64`
6×	`log-pow_binary64` `rem-sqrt-square_binary64` `*-rgt-identity_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` `distribute-rgt-out_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×	`sin-neg_binary64` `exp-sum_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-square-sqrt_binary64` `distribute-lft-out--_binary64` `distribute-lft-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` `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-diff_binary64` `exp-neg_binary64` `e-exp-1_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` `+-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

109 → 66

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	162	2317
1	363	2162
2	865	2162
3	3089	2162
4	4762	2162
5	5042	2162

prune105.0ms (1.1%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	59	7	66
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	60	7	67

Error

17.5b

Counts

67 → 7

Compiler

Compiled 2636 to 927 computations (64.8% saved)

localize36.0ms (0.4%)

Local error

Found 4 expressions with local error:

1.4b	(*.f64 y.re (atan2.f64 x.im x.re))
29.0b	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))
29.0b	(sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2)))
33.1b	(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)))))))

rewrite180.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

17.5b

Rules

12×	`add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
8×	`pow1_binary64` `add-cube-cbrt_binary64` `sqrt-prod_binary64`
6×	`add-exp-log_binary64` `add-cbrt-cube_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` `unpow-prod-down_binary64` `distribute-lft-out_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 → 58

Calls

4 calls:

8.0ms	(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)))
4.0ms	(*.f64 y.re (atan2.f64 x.im x.re))

Compiler

Compiled 2568 to 1050 computations (59.1% saved)

series245.0ms (2.5%)

Error

17.4b

Counts

4 → 51

Calls

4 calls:

66.0ms	(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)))))))
56.0ms	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))
37.0ms	(sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2)))
32.0ms	(*.f64 y.re (atan2.f64 x.im x.re))

Compiler

Compiled 4703 to 3075 computations (34.6% saved)

simplify126.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

402×	`distribute-rgt-neg-in_binary64`
384×	`distribute-lft-neg-in_binary64`
304×	`unswap-sqr_binary64`
278×	`distribute-neg-frac_binary64`
253×	`associate-r_binary64`
250×	`associate-l_binary64`
228×	`distribute-rgt-in_binary64`
210×	`times-frac_binary64`
188×	`div-sub_binary64`
142×	`sub-neg_binary64`
140×	`associate-/l*_binary64`
101×	`cancel-sign-sub-inv_binary64`
96×	`*-commutative_binary64`
94×	`neg-sub0_binary64`
91×	`neg-mul-1_binary64`
90×	`associate-/r*_binary64`
62×	`associate-*l/_binary64`
52×	`sqr-pow_binary64` `associate-*r/_binary64`
50×	`+-commutative_binary64`
49×	`distribute-rgt-out_binary64`
45×	`difference-of-squares_binary64`
42×	`distribute-neg-in_binary64`
38×	`distribute-lft-neg-out_binary64`
35×	`unsub-neg_binary64`
34×	`associate-+r-_binary64`
28×	`distribute-rgt-out--_binary64`
25×	`associate-+l-_binary64`
23×	`cube-unmult_binary64` `distribute-lft-in_binary64`
22×	`distribute-rgt-neg-out_binary64`
20×	`pow-plus_binary64` `cube-prod_binary64` `+-rgt-identity_binary64`
16×	`distribute-lft-out_binary64`
15×	`log-prod_binary64` `sub0-neg_binary64` `distribute-lft-out--_binary64` `associate-+l+_binary64`
14×	`unpow3_binary64`
12×	`log-div_binary64` `associate-/r/_binary64`
11×	`associate-+r+_binary64`
10×	`exp-prod_binary64` `pow-sqr_binary64`
8×	`cancel-sign-sub_binary64`
7×	`rem-sqrt-square_binary64` `*-lft-identity_binary64` `associate--r+_binary64`
6×	`log-pow_binary64` `cube-mult_binary64` `*-rgt-identity_binary64`
5×	`associate--l+_binary64`
4×	`cos-neg_binary64` `log-rec_binary64` `unpow1/2_binary64` `cube-div_binary64` `remove-double-neg_binary64` `swap-sqr_binary64`
3×	`associate--r-_binary64`
2×	`unpow2_binary64` `unpow1_binary64` `rem-square-sqrt_binary64` `mul-1-neg_binary64` `--rgt-identity_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64`
1×	`exp-sum_binary64` `1-exp_binary64` `exp-1-e_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-diff_binary64` `exp-neg_binary64` `e-exp-1_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` `+-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

109 → 60

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	176	2213
1	326	2058
2	783	2058
3	2632	2058
4	4923	2058
5	5127	2058

prune105.0ms (1.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	58	2	60
Fresh	4	2	6
Picked	0	1	1
Done	0	0	0
Total	62	5	67

Error

17.4b

Counts

67 → 5

Compiler

Compiled 2289 to 1109 computations (51.6% saved)

localize42.0ms (0.4%)

Local error

Found 4 expressions with local error:

29.0b	(sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2)))
33.1b	(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)))))))
33.1b	(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)))))))
33.1b	(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)))))))

rewrite156.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

17.4b

Rules

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

Counts

4 → 41

Calls

4 calls:

7.0ms	(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)))))))
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)))))))
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)))))))

Compiler

Compiled 3570 to 1775 computations (50.3% saved)

series468.0ms (4.7%)

Error

17.4b

Counts

4 → 54

Calls

4 calls:

104.0ms	(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)))))))
104.0ms	(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)))))))
103.0ms	(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)))))))
51.0ms	(sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2)))

Compiler

Compiled 11324 to 6612 computations (41.6% saved)

simplify140.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

808×	`associate-/l*_binary64`
340×	`cancel-sign-sub-inv_binary64`
273×	`distribute-rgt-neg-in_binary64`
254×	`distribute-lft-neg-in_binary64`
250×	`associate-/r/_binary64`
180×	`div-sub_binary64`
161×	`distribute-rgt-in_binary64`
158×	`distribute-neg-frac_binary64`
155×	`associate-r_binary64`
146×	`associate-/l/_binary64`
137×	`distribute-lft-in_binary64`
131×	`unswap-sqr_binary64`
115×	`associate-l_binary64`
114×	`times-frac_binary64`
110×	`sub-neg_binary64`
83×	`*-commutative_binary64`
76×	`associate-/r*_binary64`
71×	`neg-sub0_binary64`
66×	`neg-mul-1_binary64`
39×	`associate-*r/_binary64`
38×	`associate-*l/_binary64`
37×	`distribute-neg-in_binary64`
35×	`distribute-lft-neg-out_binary64` `distribute-rgt-out_binary64` `+-commutative_binary64`
33×	`unsub-neg_binary64`
30×	`sqr-pow_binary64` `difference-of-squares_binary64`
26×	`associate-+r-_binary64`
22×	`distribute-rgt-out--_binary64`
20×	`distribute-rgt-neg-out_binary64`
18×	`cube-prod_binary64` `associate-+l-_binary64`
14×	`pow-plus_binary64` `cube-unmult_binary64` `+-rgt-identity_binary64`
13×	`unpow3_binary64`
12×	`log-div_binary64` `sub0-neg_binary64` `distribute-lft-out--_binary64`
8×	`distribute-lft-out_binary64` `associate-+l+_binary64`
7×	`associate-+r+_binary64`
6×	`log-pow_binary64` `log-prod_binary64` `pow-sqr_binary64`
4×	`cos-neg_binary64` `log-rec_binary64` `cube-mult_binary64` `rem-sqrt-square_binary64` `remove-double-neg_binary64` `associate--r+_binary64`
3×	`count-2_binary64` `associate--r-_binary64` `associate--l+_binary64`
2×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `mul-1-neg_binary64` `--rgt-identity_binary64` `cancel-sign-sub_binary64` `distribute-neg-out_binary64`
1×	`sin-neg_binary64` `1-exp_binary64` `sqr-neg_binary64` `rem-square-sqrt_binary64` `distribute-frac-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` `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` `/-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` `associate--l-_binary64`

Counts

95 → 66

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	123	3151
1	260	2895
2	518	2889
3	1775	2889
4	4900	2889
5	5150	2889

prune138.0ms (1.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	64	2	66
Fresh	0	3	3
Picked	1	0	1
Done	0	1	1
Total	65	6	71

Error

17.4b

Counts

71 → 6

Compiler

Compiled 4204 to 2019 computations (52% saved)

localize24.0ms (0.2%)

Local error

Found 4 expressions with local error:

1.3b	(*.f64 (atan2.f64 x.im x.re) y.im)
1.4b	(*.f64 (atan2.f64 x.im x.re) y.re)
15.5b	(cos.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.im)) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
29.0b	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))

rewrite106.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

17.4b

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)))
3.0ms	(*.f64 (atan2.f64 x.im x.re) y.im)
3.0ms	(*.f64 (atan2.f64 x.im x.re) y.re)

Compiler

Compiled 2101 to 351 computations (83.3% saved)

series182.0ms (1.8%)

Error

11.0b

Counts

4 → 43

Calls

4 calls:

71.0ms	(cos.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.im)) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
36.0ms	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))
27.0ms	(*.f64 (atan2.f64 x.im x.re) y.im)
26.0ms	(*.f64 (atan2.f64 x.im x.re) y.re)

Compiler

Compiled 3079 to 1921 computations (37.6% saved)

simplify112.0ms (1.1%)

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

prune57.0ms (0.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	56	2	58
Fresh	0	4	4
Picked	1	0	1
Done	0	1	1
Total	57	7	64

Error

11.0b

Counts

64 → 7

Compiler

Compiled 1318 to 325 computations (75.3% saved)

regimes1.7s (17.1%)

Accuracy

Total 12.4b remaining (79.9%)

Threshold costs 0b (0%)

Compiler

Compiled 19266 to 12277 computations (36.3% saved)

bsearch88.0ms (0.9%)

Steps

Iters	Range		Point
9	1.200443360872965e-75	7.285733631715683e-69	7.183923203605002e-69
4	-2.001435710125666e-39	-1.0946993876511601e-39	-1.9613918078334412e-39

Compiler

Compiled 1 to 4 computations (-300% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

7×	`*-commutative_binary64`
5×	`+-commutative_binary64`
4×	`sub-neg_binary64`
3×	`neg-mul-1_binary64` `neg-sub0_binary64`
2×	`cancel-sign-sub-inv_binary64` `distribute-rgt-neg-in_binary64`
1×	`1-exp_binary64` `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` `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	29	66
1	40	66
2	49	66
3	55	66
4	59	66
5	60	66
6	59	66

end2.0ms (0%)

Compiler: Compiled 35 to 25 computations (28.6% saved)

sample3.7s (37.1%)

Algorithm

1×

intervals

Results

1.2s	2464×	body	1024	invalid
855.0ms	7624×	body	128	valid
354.0ms	1014×	body	512	invalid
95.0ms	402×	body	256	invalid
82.0ms	156×	body	1024	valid
65.0ms	539×	body	128	invalid
46.0ms	118×	body	512	valid
27.0ms	35×	body	2048	invalid
22.0ms	84×	body	256	valid
14.0ms	18×	body	2048	valid

Compiler

Compiled 389 to 273 computations (29.8% saved)

Details

analyze1.5s (15.4%)

sample102.0ms (1%)

simplify66.0ms (0.7%)

prune8.0ms (0.1%)

localize24.0ms (0.2%)

rewrite127.0ms (1.3%)

series252.0ms (2.5%)

simplify127.0ms (1.3%)

prune105.0ms (1.1%)

localize36.0ms (0.4%)

rewrite180.0ms (1.8%)

series245.0ms (2.5%)

simplify126.0ms (1.3%)

prune105.0ms (1.1%)

localize42.0ms (0.4%)

rewrite156.0ms (1.6%)

series468.0ms (4.7%)

simplify140.0ms (1.4%)

prune138.0ms (1.4%)

localize24.0ms (0.2%)

rewrite106.0ms (1.1%)

series182.0ms (1.8%)

simplify112.0ms (1.1%)

prune57.0ms (0.6%)

regimes1.7s (17.1%)

bsearch88.0ms (0.9%)

simplify6.0ms (0.1%)

end2.0ms (0%)

sample3.7s (37.1%)

Profiling