Details

analyze1.5s (10.8%)

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
49%	50.8%	0.2%	13
50.1%	49.7%	0.2%	14

Compiler

Compiled 38 to 20 computations (47.4% saved)

sample115.0ms (0.8%)

Algorithm

1×

intervals

Results

34.0ms	61×	body	1024	invalid
28.0ms	243×	body	128	valid
16.0ms	30×	body	512	invalid
7.0ms	7×	body	2048	invalid
2.0ms	4×	body	1024	valid
2.0ms	5×	body	512	valid
2.0ms	7×	body	256	invalid
1.0ms	11×	body	128	invalid
1.0ms	1×	body	2048	valid
1.0ms	3×	body	256	valid

Compiler

Compiled 75 to 43 computations (42.7% saved)

simplify69.0ms (0.5%)

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

34.1b

Counts

2 → 1

Compiler

Compiled 73 to 38 computations (47.9% saved)

localize23.0ms (0.2%)

Local error

Found 4 expressions with local error:

1.2b	(*.f64 (atan2.f64 x.im x.re) y.re)
29.8b	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))
29.8b	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))
33.1b	(sin.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)))

rewrite166.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

34.0b

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×	`sin-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	(sin.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.re)

Compiler

Compiled 2420 to 343 computations (85.8% saved)

series261.0ms (1.8%)

Error

19.1b

Counts

4 → 57

Calls

4 calls:

86.0ms	(sin.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)))
50.0ms	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))
47.0ms	(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 5043 to 2868 computations (43.1% saved)

simplify126.0ms (0.9%)

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`
263×	`associate-r_binary64`
260×	`associate-l_binary64`
210×	`times-frac_binary64`
188×	`div-sub_binary64`
140×	`associate-/l*_binary64`
139×	`sub-neg_binary64`
103×	`*-commutative_binary64`
100×	`cancel-sign-sub-inv_binary64`
94×	`neg-sub0_binary64`
90×	`associate-/r*_binary64`
62×	`associate-*l/_binary64`
54×	`sqr-pow_binary64`
52×	`associate-*r/_binary64`
50×	`+-commutative_binary64`
49×	`distribute-rgt-out_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×	`distribute-rgt-neg-out_binary64`
20×	`pow-plus_binary64` `cube-prod_binary64` `+-rgt-identity_binary64`
15×	`log-prod_binary64` `sub0-neg_binary64` `distribute-lft-out--_binary64` `associate-+l+_binary64`
12×	`log-div_binary64` `unpow3_binary64` `associate-/r/_binary64`
11×	`associate-+r+_binary64`
10×	`exp-prod_binary64`
9×	`*-lft-identity_binary64`
8×	`*-rgt-identity_binary64` `pow-sqr_binary64` `cancel-sign-sub_binary64`
7×	`associate--r+_binary64`
6×	`log-pow_binary64` `rem-sqrt-square_binary64`
5×	`associate--l+_binary64`
4×	`sin-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-sum_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-square-sqrt_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` `cos-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

113 → 66

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	158	2387
1	339	2232
2	817	2232
3	2668	2232
4	4627	2232
5	5138	2232

prune121.0ms (0.8%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	57	9	66
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	58	9	67

Error

19.3b

Counts

67 → 9

Compiler

Compiled 2736 to 1008 computations (63.2% saved)

localize37.0ms (0.3%)

Local error

Found 4 expressions with local error:

29.8b	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))
33.1b	(sin.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)))))))
33.1b	(sin.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)))))))
33.1b	(sin.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)))))))

rewrite161.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

19.3b

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×	`sin-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:

9.0ms	(sin.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)))))))
6.0ms	(sin.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)))))))
6.0ms	(sin.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 3487 to 1729 computations (50.4% saved)

series606.0ms (4.2%)

Error

19.3b

Counts

4 → 69

Calls

4 calls:

124.0ms	(sin.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)))))))
122.0ms	(sin.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)))))))
121.0ms	(sin.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)))))))
76.0ms	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))

Compiler

Compiled 14258 to 8478 computations (40.5% saved)

simplify193.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

402×	`distribute-rgt-neg-in_binary64`
384×	`distribute-lft-neg-in_binary64`
318×	`times-frac_binary64`
300×	`unswap-sqr_binary64`
294×	`associate-r_binary64`
278×	`distribute-neg-frac_binary64`
236×	`associate-/l*_binary64`
213×	`associate-l_binary64`
160×	`associate-/r*_binary64`
139×	`sub-neg_binary64`
130×	`*-commutative_binary64`
100×	`cancel-sign-sub-inv_binary64`
94×	`neg-sub0_binary64`
91×	`neg-mul-1_binary64` `associate-*l/_binary64`
76×	`associate-*r/_binary64`
52×	`associate-/r/_binary64` `+-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`
31×	`distribute-rgt-in_binary64`
25×	`associate-+l-_binary64`
23×	`distribute-lft-in_binary64`
22×	`div-sub_binary64` `distribute-rgt-neg-out_binary64`
20×	`+-rgt-identity_binary64`
15×	`sub0-neg_binary64`
13×	`associate-+l+_binary64`
12×	`log-div_binary64` `pow-plus_binary64` `cube-unmult_binary64`
9×	`associate-+r+_binary64`
8×	`log-pow_binary64` `cancel-sign-sub_binary64`
7×	`distribute-rgt-out--_binary64` `associate--r+_binary64`
6×	`log-prod_binary64` `unpow3_binary64` `cube-prod_binary64`
5×	`associate--l+_binary64`
4×	`sin-neg_binary64` `log-rec_binary64` `cube-mult_binary64` `rem-sqrt-square_binary64` `remove-double-neg_binary64` `pow-sqr_binary64` `distribute-rgt-out_binary64`
3×	`associate--r-_binary64`
2×	`cos-neg_binary64` `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` `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` `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` `/-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

108 → 68

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	147	3807
1	331	3543
2	809	3543
3	3186	3543
4	4982	3543
5	5000	3543
6	4949	3543

prune184.0ms (1.3%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	65	3	68
Fresh	2	6	8
Picked	1	0	1
Done	0	0	0
Total	68	9	77

Error

19.3b

Counts

77 → 9

Compiler

Compiled 4851 to 2550 computations (47.4% saved)

localize54.0ms (0.4%)

Local error

Found 4 expressions with local error:

33.1b	(sin.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)))))))
33.1b	(sin.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))))
33.1b	(sin.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))))
33.1b	(sin.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))))

rewrite197.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

19.3b

Rules

4×	`sin-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:

7.0ms	(sin.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	(sin.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	(sin.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))))
6.0ms	(sin.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)))))))

Compiler

Compiled 4328 to 2289 computations (47.1% saved)

series835.0ms (5.9%)

Error

19.3b

Counts

4 → 68

Calls

4 calls:

149.0ms	(sin.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))))
149.0ms	(sin.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))))
148.0ms	(sin.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))))
146.0ms	(sin.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)))))))

Compiler

Compiled 22068 to 12994 computations (41.1% saved)

simplify159.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

800×	`associate-/l*_binary64`
534×	`associate-r_binary64`
460×	`associate-l_binary64`
441×	`associate-/r*_binary64`
321×	`associate-*l/_binary64`
272×	`associate-/r/_binary64`
214×	`associate-*r/_binary64`
197×	`associate-/l/_binary64`
134×	`unsub-neg_binary64`
111×	`times-frac_binary64`
89×	`distribute-rgt-in_binary64`
82×	`distribute-lft-in_binary64`
75×	`*-commutative_binary64`
55×	`div-sub_binary64`
40×	`sub-neg_binary64`
37×	`cancel-sign-sub-inv_binary64`
34×	`neg-mul-1_binary64`
32×	`neg-sub0_binary64`
30×	`distribute-neg-in_binary64`
20×	`log-div_binary64` `distribute-rgt-neg-in_binary64`
17×	`+-commutative_binary64`
14×	`distribute-lft-neg-out_binary64`
13×	`distribute-lft-neg-in_binary64`
12×	`associate-+r-_binary64`
10×	`log-prod_binary64` `sqr-pow_binary64` `distribute-rgt-neg-out_binary64`
6×	`log-pow_binary64` `pow-plus_binary64` `unswap-sqr_binary64`
5×	`cube-unmult_binary64`
4×	`sin-neg_binary64` `log-rec_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `associate-+l-_binary64` `associate-+r+_binary64`
3×	`count-2_binary64` `associate--r-_binary64`
2×	`cos-neg_binary64` `unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `rem-sqrt-square_binary64` `--rgt-identity_binary64`
1×	`1-exp_binary64` `+-rgt-identity_binary64` `cancel-sign-sub_binary64` `associate--r+_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `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` `unpow3_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-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-square-sqrt_binary64` `mul-1-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` `pow-sqr_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` `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` `associate--l-_binary64` `associate--l+_binary64` `associate-+l+_binary64`

Counts

100 → 76

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	102	4260
1	176	3936
2	330	3936
3	1082	3936
4	4758	3936
5	5061	3936

prune277.0ms (1.9%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	73	3	76
Fresh	1	7	8
Picked	1	0	1
Done	0	0	0
Total	75	10	85

Error

19.3b

Counts

85 → 10

Compiler

Compiled 7901 to 4141 computations (47.6% saved)

localize80.0ms (0.6%)

Local error

Found 4 expressions with local error:

33.1b	(sin.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)))))))
33.1b	(sin.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))))
33.1b	(sin.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))))
33.1b	(sin.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))))

rewrite254.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

19.3b

Rules

4×	`sin-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:

7.0ms	(sin.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	(sin.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	(sin.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))))
6.0ms	(sin.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)))))))

Compiler

Compiled 5640 to 3089 computations (45.2% saved)

series1.0s (7.2%)

Error

19.3b

Counts

4 → 68

Calls

4 calls:

173.0ms	(sin.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))))
172.0ms	(sin.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))))
172.0ms	(sin.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)))))))
172.0ms	(sin.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 29120 to 17294 computations (40.6% saved)

simplify156.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

800×	`associate-/l*_binary64`
534×	`associate-r_binary64`
460×	`associate-l_binary64`
441×	`associate-/r*_binary64`
321×	`associate-*l/_binary64`
272×	`associate-/r/_binary64`
214×	`associate-*r/_binary64`
197×	`associate-/l/_binary64`
134×	`unsub-neg_binary64`
111×	`times-frac_binary64`
89×	`distribute-rgt-in_binary64`
82×	`distribute-lft-in_binary64`
75×	`*-commutative_binary64`
55×	`div-sub_binary64`
40×	`sub-neg_binary64`
37×	`cancel-sign-sub-inv_binary64`
34×	`neg-mul-1_binary64`
32×	`neg-sub0_binary64`
30×	`distribute-neg-in_binary64`
20×	`log-div_binary64` `distribute-rgt-neg-in_binary64`
17×	`+-commutative_binary64`
14×	`distribute-lft-neg-out_binary64`
13×	`distribute-lft-neg-in_binary64`
12×	`associate-+r-_binary64`
10×	`log-prod_binary64` `sqr-pow_binary64` `distribute-rgt-neg-out_binary64`
6×	`log-pow_binary64` `pow-plus_binary64` `unswap-sqr_binary64`
5×	`cube-unmult_binary64`
4×	`sin-neg_binary64` `log-rec_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `associate-+l-_binary64` `associate-+r+_binary64`
3×	`count-2_binary64` `associate--r-_binary64`
2×	`cos-neg_binary64` `unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `rem-sqrt-square_binary64` `--rgt-identity_binary64`
1×	`1-exp_binary64` `+-rgt-identity_binary64` `cancel-sign-sub_binary64` `associate--r+_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `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` `unpow3_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-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-square-sqrt_binary64` `mul-1-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` `pow-sqr_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` `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` `associate--l-_binary64` `associate--l+_binary64` `associate-+l+_binary64`

Counts

100 → 76

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	102	4260
1	176	3936
2	330	3936
3	1082	3936
4	4758	3936
5	5061	3936

prune353.0ms (2.5%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	76	0	76
Fresh	0	9	9
Picked	0	1	1
Done	0	0	0
Total	76	10	86

Error

19.3b

Counts

86 → 10

Compiler

Compiled 9472 to 5065 computations (46.5% saved)

regimes2.9s (20.6%)

Accuracy

Total 1.0b remaining (6.4%)

Threshold costs 1.0b (6.4%)

Compiler

Compiled 57017 to 36260 computations (36.4% saved)

bsearch20.0ms (0.1%)

Compiler: Compiled 37 to 19 computations (48.6% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

8×	`*-commutative_binary64`
6×	`+-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×	`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	27	154
1	39	154
2	48	154
3	54	154
4	58	154
5	59	154
6	59	154

end2.0ms (0%)

Compiler: Compiled 78 to 23 computations (70.5% saved)

sample4.3s (30.1%)

Algorithm

1×

intervals

Results

1.4s	2591×	body	1024	invalid
891.0ms	7586×	body	128	valid
361.0ms	955×	body	512	invalid
155.0ms	166×	body	2048	invalid
87.0ms	165×	body	1024	valid
84.0ms	354×	body	256	invalid
60.0ms	488×	body	128	invalid
51.0ms	139×	body	512	valid
23.0ms	93×	body	256	valid
14.0ms	17×	body	2048	valid

Compiler

Compiled 844 to 538 computations (36.3% saved)

Details

analyze1.5s (10.8%)

sample115.0ms (0.8%)

simplify69.0ms (0.5%)

prune8.0ms (0.1%)

localize23.0ms (0.2%)

rewrite166.0ms (1.2%)

series261.0ms (1.8%)

simplify126.0ms (0.9%)

prune121.0ms (0.8%)

localize37.0ms (0.3%)

rewrite161.0ms (1.1%)

series606.0ms (4.2%)

simplify193.0ms (1.4%)

prune184.0ms (1.3%)

localize54.0ms (0.4%)

rewrite197.0ms (1.4%)

series835.0ms (5.9%)

simplify159.0ms (1.1%)

prune277.0ms (1.9%)

localize80.0ms (0.6%)

rewrite254.0ms (1.8%)

series1.0s (7.2%)

simplify156.0ms (1.1%)

prune353.0ms (2.5%)

regimes2.9s (20.6%)

bsearch20.0ms (0.1%)

simplify8.0ms (0.1%)

end2.0ms (0%)

sample4.3s (30.1%)

Profiling