Metrics for Graphics.Rasterific.Shading:$sradialGradientWithFocusShader from Rasterific-0.6.1, A

analyze152.0ms (9.9%)

Algorithm

1×	search
2×	egg-herbie

Rules

1× 1-exp_binary64_5919 +-commutative_binary64_5805

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_6138 erf-erfc_binary64_6137 erf-odd_binary64_6136 if-if-and-not_binary64_6135 if-if-and_binary64_6134 if-if-or-not_binary64_6133 if-if-or_binary64_6132 if-not_binary64_6131 if-same_binary64_6130 if-false_binary64_6129 if-true_binary64_6128 not-gte_binary64_6127 not-lte_binary64_6126 not-gt_binary64_6125 not-lt_binary64_6124 gte-same_binary64_6123 lte-same_binary64_6122 gt-same_binary64_6121 lt-same_binary64_6120 sinh---cosh_binary64_6067 sinh-+-cosh_binary64_6066 sinh-cosh_binary64_6065 tanh-def-c_binary64_6064 tanh-def-b_binary64_6063 tanh-def-a_binary64_6062 cosh-def_binary64_6061 sinh-def_binary64_6060 tan-neg_binary64_6007 cos-neg_binary64_6006 sin-neg_binary64_6005 tan-0_binary64_6004 cos-0_binary64_6003 sin-0_binary64_6002 hang-m-tan_binary64_6001 hang-p-tan_binary64_6000 hang-m0-tan_binary64_5999 hang-p0-tan_binary64_5998 hang-0m-tan_binary64_5997 hang-0p-tan_binary64_5996 tan-+PI/2_binary64_5995 tan-+PI_binary64_5994 tan-PI_binary64_5993 tan-PI/3_binary64_5992 tan-PI/4_binary64_5991 tan-PI/6_binary64_5990 cos-+PI/2_binary64_5989 cos-+PI_binary64_5988 cos-PI_binary64_5987 cos-PI/2_binary64_5986 cos-PI/3_binary64_5985 cos-PI/4_binary64_5984 cos-PI/6_binary64_5983 sin-+PI/2_binary64_5982 sin-+PI_binary64_5981 sin-PI_binary64_5980 sin-PI/2_binary64_5979 sin-PI/3_binary64_5978 sin-PI/4_binary64_5977 sin-PI/6_binary64_5976 sub-1-sin_binary64_5975 sub-1-cos_binary64_5974 -1-add-sin_binary64_5973 -1-add-cos_binary64_5972 1-sub-sin_binary64_5971 1-sub-cos_binary64_5970 cos-sin-sum_binary64_5969 log-E_binary64_5965 log-pow_binary64_5964 log-rec_binary64_5963 log-div_binary64_5962 log-prod_binary64_5961 pow-base-0_binary64_5959 unpow1/3_binary64_5942 unpow3_binary64_5941 unpow2_binary64_5940 unpow1/2_binary64_5939 pow-plus_binary64_5938 exp-to-pow_binary64_5937 pow-base-1_binary64_5935 unpow0_binary64_5934 unpow1_binary64_5933 unpow-1_binary64_5932 exp-lft-cube_binary64_5931 exp-lft-sqr_binary64_5930 exp-cbrt_binary64_5929 exp-sqrt_binary64_5928 exp-prod_binary64_5927 div-exp_binary64_5926 rec-exp_binary64_5925 prod-exp_binary64_5924 exp-diff_binary64_5923 exp-neg_binary64_5922 exp-sum_binary64_5921 e-exp-1_binary64_5920 exp-1-e_binary64_5918 exp-0_binary64_5917 rem-log-exp_binary64_5916 rem-exp-log_binary64_5915 cube-unmult_binary64_5912 cube-mult_binary64_5905 cube-div_binary64_5904 cube-prod_binary64_5903 cube-neg_binary64_5902 rem-3cbrt-rft_binary64_5901 rem-3cbrt-lft_binary64_5900 rem-cbrt-cube_binary64_5899 rem-cube-cbrt_binary64_5898 sqr-abs_binary64_5890 sqr-neg_binary64_5889 rem-sqrt-square_binary64_5888 rem-square-sqrt_binary64_5887 times-frac_binary64_5881 div-sub_binary64_5880 neg-mul-1_binary64_5871 neg-sub0_binary64_5870 unsub-neg_binary64_5869 sub-neg_binary64_5868 mul-1-neg_binary64_5867 /-rgt-identity_binary64_5866 *-rgt-identity_binary64_5865 *-lft-identity_binary64_5864 remove-double-neg_binary64_5863 sub0-neg_binary64_5862 --rgt-identity_binary64_5861 +-rgt-identity_binary64_5860 +-lft-identity_binary64_5859 mul0-rgt_binary64_5858 mul0-lft_binary64_5857 div0_binary64_5856 *-inverses_binary64_5855 +-inverses_binary64_5854 lft-mult-inverse_binary64_5853 rgt-mult-inverse_binary64_5852 remove-double-div_binary64_5851 pow-sqr_binary64_5848 sqr-pow_binary64_5847 difference-of-sqr--1_binary64_5846 difference-of-sqr-1_binary64_5845 difference-of-squares_binary64_5844 unswap-sqr_binary64_5843 swap-sqr_binary64_5842 cancel-sign-sub-inv_binary64_5841 cancel-sign-sub_binary64_5840 distribute-neg-frac_binary64_5839 distribute-frac-neg_binary64_5838 distribute-neg-out_binary64_5837 distribute-neg-in_binary64_5836 distribute-rgt-neg-out_binary64_5835 distribute-lft-neg-out_binary64_5834 distribute-rgt-neg-in_binary64_5833 distribute-lft-neg-in_binary64_5832 distribute-rgt1-in_binary64_5831 distribute-lft1-in_binary64_5830 distribute-rgt-out--_binary64_5829 distribute-rgt-out_binary64_5828 distribute-lft-out--_binary64_5827 distribute-lft-out_binary64_5826 distribute-rgt-in_binary64_5825 distribute-lft-in_binary64_5824 count-2_binary64_5823 associate-/l/_binary64_5822 associate-/r/_binary64_5821 associate-/l*_binary64_5820 associate-/r*_binary64_5819 associate-*l/_binary64_5818 associate-*r/_binary64_5817 associate-*l*_binary64_5816 associate-*r*_binary64_5815 associate--r-_binary64_5814 associate--l-_binary64_5813 associate--l+_binary64_5812 associate--r+_binary64_5811 associate-+l-_binary64_5810 associate-+r-_binary64_5809 associate-+l+_binary64_5808 associate-+r+_binary64_5807 *-commutative_binary64_5806

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	8	7
2	7	7
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
50%	25%	25%	4
62.5%	12.5%	25%	5
68.7%	6.2%	25%	6
71.8%	3.1%	25%	7
73.4%	1.6%	25%	8
74.2%	0.8%	25%	9
74.6%	0.4%	25%	10
74.8%	0.2%	25%	11
74.9%	0.1%	25%	12
74.9%	0%	25%	13
74.9%	0%	25%	14

Compiler

Compiled 6 to 5 computations (16.7% saved)

sample11.0ms (0.7%)

Algorithm

1×

intervals

Results

4.0ms

256×

body

128

valid

Compiler

Compiled 11 to 10 computations (9.1% saved)

simplify8.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1× 1-exp_binary64_5919 +-commutative_binary64_5805

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_6138 erf-erfc_binary64_6137 erf-odd_binary64_6136 if-if-and-not_binary64_6135 if-if-and_binary64_6134 if-if-or-not_binary64_6133 if-if-or_binary64_6132 if-not_binary64_6131 if-same_binary64_6130 if-false_binary64_6129 if-true_binary64_6128 not-gte_binary64_6127 not-lte_binary64_6126 not-gt_binary64_6125 not-lt_binary64_6124 gte-same_binary64_6123 lte-same_binary64_6122 gt-same_binary64_6121 lt-same_binary64_6120 sinh---cosh_binary64_6067 sinh-+-cosh_binary64_6066 sinh-cosh_binary64_6065 tanh-def-c_binary64_6064 tanh-def-b_binary64_6063 tanh-def-a_binary64_6062 cosh-def_binary64_6061 sinh-def_binary64_6060 tan-neg_binary64_6007 cos-neg_binary64_6006 sin-neg_binary64_6005 tan-0_binary64_6004 cos-0_binary64_6003 sin-0_binary64_6002 hang-m-tan_binary64_6001 hang-p-tan_binary64_6000 hang-m0-tan_binary64_5999 hang-p0-tan_binary64_5998 hang-0m-tan_binary64_5997 hang-0p-tan_binary64_5996 tan-+PI/2_binary64_5995 tan-+PI_binary64_5994 tan-PI_binary64_5993 tan-PI/3_binary64_5992 tan-PI/4_binary64_5991 tan-PI/6_binary64_5990 cos-+PI/2_binary64_5989 cos-+PI_binary64_5988 cos-PI_binary64_5987 cos-PI/2_binary64_5986 cos-PI/3_binary64_5985 cos-PI/4_binary64_5984 cos-PI/6_binary64_5983 sin-+PI/2_binary64_5982 sin-+PI_binary64_5981 sin-PI_binary64_5980 sin-PI/2_binary64_5979 sin-PI/3_binary64_5978 sin-PI/4_binary64_5977 sin-PI/6_binary64_5976 sub-1-sin_binary64_5975 sub-1-cos_binary64_5974 -1-add-sin_binary64_5973 -1-add-cos_binary64_5972 1-sub-sin_binary64_5971 1-sub-cos_binary64_5970 cos-sin-sum_binary64_5969 log-E_binary64_5965 log-pow_binary64_5964 log-rec_binary64_5963 log-div_binary64_5962 log-prod_binary64_5961 pow-base-0_binary64_5959 unpow1/3_binary64_5942 unpow3_binary64_5941 unpow2_binary64_5940 unpow1/2_binary64_5939 pow-plus_binary64_5938 exp-to-pow_binary64_5937 pow-base-1_binary64_5935 unpow0_binary64_5934 unpow1_binary64_5933 unpow-1_binary64_5932 exp-lft-cube_binary64_5931 exp-lft-sqr_binary64_5930 exp-cbrt_binary64_5929 exp-sqrt_binary64_5928 exp-prod_binary64_5927 div-exp_binary64_5926 rec-exp_binary64_5925 prod-exp_binary64_5924 exp-diff_binary64_5923 exp-neg_binary64_5922 exp-sum_binary64_5921 e-exp-1_binary64_5920 exp-1-e_binary64_5918 exp-0_binary64_5917 rem-log-exp_binary64_5916 rem-exp-log_binary64_5915 cube-unmult_binary64_5912 cube-mult_binary64_5905 cube-div_binary64_5904 cube-prod_binary64_5903 cube-neg_binary64_5902 rem-3cbrt-rft_binary64_5901 rem-3cbrt-lft_binary64_5900 rem-cbrt-cube_binary64_5899 rem-cube-cbrt_binary64_5898 sqr-abs_binary64_5890 sqr-neg_binary64_5889 rem-sqrt-square_binary64_5888 rem-square-sqrt_binary64_5887 times-frac_binary64_5881 div-sub_binary64_5880 neg-mul-1_binary64_5871 neg-sub0_binary64_5870 unsub-neg_binary64_5869 sub-neg_binary64_5868 mul-1-neg_binary64_5867 /-rgt-identity_binary64_5866 *-rgt-identity_binary64_5865 *-lft-identity_binary64_5864 remove-double-neg_binary64_5863 sub0-neg_binary64_5862 --rgt-identity_binary64_5861 +-rgt-identity_binary64_5860 +-lft-identity_binary64_5859 mul0-rgt_binary64_5858 mul0-lft_binary64_5857 div0_binary64_5856 *-inverses_binary64_5855 +-inverses_binary64_5854 lft-mult-inverse_binary64_5853 rgt-mult-inverse_binary64_5852 remove-double-div_binary64_5851 pow-sqr_binary64_5848 sqr-pow_binary64_5847 difference-of-sqr--1_binary64_5846 difference-of-sqr-1_binary64_5845 difference-of-squares_binary64_5844 unswap-sqr_binary64_5843 swap-sqr_binary64_5842 cancel-sign-sub-inv_binary64_5841 cancel-sign-sub_binary64_5840 distribute-neg-frac_binary64_5839 distribute-frac-neg_binary64_5838 distribute-neg-out_binary64_5837 distribute-neg-in_binary64_5836 distribute-rgt-neg-out_binary64_5835 distribute-lft-neg-out_binary64_5834 distribute-rgt-neg-in_binary64_5833 distribute-lft-neg-in_binary64_5832 distribute-rgt1-in_binary64_5831 distribute-lft1-in_binary64_5830 distribute-rgt-out--_binary64_5829 distribute-rgt-out_binary64_5828 distribute-lft-out--_binary64_5827 distribute-lft-out_binary64_5826 distribute-rgt-in_binary64_5825 distribute-lft-in_binary64_5824 count-2_binary64_5823 associate-/l/_binary64_5822 associate-/r/_binary64_5821 associate-/l*_binary64_5820 associate-/r*_binary64_5819 associate-*l/_binary64_5818 associate-*r/_binary64_5817 associate-*l*_binary64_5816 associate-*r*_binary64_5815 associate--r-_binary64_5814 associate--l-_binary64_5813 associate--l+_binary64_5812 associate--r+_binary64_5811 associate-+l-_binary64_5810 associate-+r-_binary64_5809 associate-+l+_binary64_5808 associate-+r+_binary64_5807 *-commutative_binary64_5806

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	8	7
2	7	7

prune1.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.0b

Counts

1 → 1

Compiler

Compiled 5 to 4 computations (20% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b	(+.f64 (*.f64 x x) 1)

rewrite14.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

0b

Rules

3×	`add-log-exp_binary64_5914`
1×	`sum-log_binary64_5966` `pow1_binary64_5936` `add-exp-log_binary64_5913` `add-cbrt-cube_binary64_5911` `add-cube-cbrt_binary64_5910` `add-sqr-sqrt_binary64_5897` `flip3-+_binary64_5878` `*-un-lft-identity_binary64_5875` `flip-+_binary64_5849` `+-commutative_binary64_5805`

Counts

1 → 11

Calls

1 calls:

4.0ms

(+.f64 (*.f64 x x) 1)

Compiler

Compiled 136 to 74 computations (45.6% saved)

series53.0ms (3.4%)

Error

0.0b

Counts

1 → 6

Calls

1 calls:

49.0ms

(+.f64 (*.f64 x x) 1)

Compiler

Compiled 59 to 56 computations (5.1% saved)

simplify86.0ms (5.6%)

Algorithm

1×	egg-herbie

Rules

639×	`distribute-rgt-in_binary64_5825`
485×	`unswap-sqr_binary64_5843`
471×	`distribute-lft-in_binary64_5824`
416×	`distribute-rgt-out_binary64_5828`
314×	`associate-l_binary64_5816`
243×	`cancel-sign-sub-inv_binary64_5841`
204×	`associate-r_binary64_5815`
176×	`distribute-lft-out_binary64_5826`
125×	`distribute-rgt-neg-in_binary64_5833`
91×	`distribute-lft-neg-in_binary64_5832`
85×	`neg-mul-1_binary64_5871`
83×	`neg-sub0_binary64_5870`
81×	`associate-+l+_binary64_5808`
68×	`associate-+r+_binary64_5807`
64×	`exp-prod_binary64_5927`
58×	`cube-prod_binary64_5903`
54×	`distribute-rgt-out--_binary64_5829`
51×	`difference-of-squares_binary64_5844`
49×	`sqr-pow_binary64_5847`
48×	`*-commutative_binary64_5806`
44×	`sub-neg_binary64_5868`
39×	`unpow3_binary64_5941`
35×	`pow-plus_binary64_5938`
34×	`distribute-rgt1-in_binary64_5831`
28×	`*-rgt-identity_binary64_5865`
27×	`distribute-neg-in_binary64_5836`
22×	`unsub-neg_binary64_5869` `+-commutative_binary64_5805`
21×	`distribute-lft1-in_binary64_5830`
17×	`cube-unmult_binary64_5912` `distribute-lft-out--_binary64_5827`
16×	`*-lft-identity_binary64_5864`
15×	`pow-sqr_binary64_5848` `distribute-lft-neg-out_binary64_5834`
13×	`rem-sqrt-square_binary64_5888`
10×	`distribute-rgt-neg-out_binary64_5835`
9×	`associate--r+_binary64_5811` `associate-+l-_binary64_5810`
7×	`cube-mult_binary64_5905` `associate-/l*_binary64_5820`
6×	`sub0-neg_binary64_5862`
5×	`times-frac_binary64_5881` `difference-of-sqr--1_binary64_5846` `associate-+r-_binary64_5809`
4×	`unpow1/2_binary64_5939` `mul-1-neg_binary64_5867` `difference-of-sqr-1_binary64_5845`
3×	`+-rgt-identity_binary64_5860` `associate-/l/_binary64_5822` `associate-/r_binary64_5819` `associate-r/_binary64_5817`
2×	`log-prod_binary64_5961` `remove-double-neg_binary64_5863` `+-lft-identity_binary64_5859` `swap-sqr_binary64_5842` `associate-/r/_binary64_5821`
1×	`unpow2_binary64_5940` `unpow1_binary64_5933` `prod-exp_binary64_5924` `exp-diff_binary64_5923` `exp-sum_binary64_5921` `1-exp_binary64_5919` `exp-1-e_binary64_5918` `div-sub_binary64_5880` `associate--l+_binary64_5812`
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_6138` `erf-erfc_binary64_6137` `erf-odd_binary64_6136` `if-if-and-not_binary64_6135` `if-if-and_binary64_6134` `if-if-or-not_binary64_6133` `if-if-or_binary64_6132` `if-not_binary64_6131` `if-same_binary64_6130` `if-false_binary64_6129` `if-true_binary64_6128` `not-gte_binary64_6127` `not-lte_binary64_6126` `not-gt_binary64_6125` `not-lt_binary64_6124` `gte-same_binary64_6123` `lte-same_binary64_6122` `gt-same_binary64_6121` `lt-same_binary64_6120` `sinh---cosh_binary64_6067` `sinh-+-cosh_binary64_6066` `sinh-cosh_binary64_6065` `tanh-def-c_binary64_6064` `tanh-def-b_binary64_6063` `tanh-def-a_binary64_6062` `cosh-def_binary64_6061` `sinh-def_binary64_6060` `tan-neg_binary64_6007` `cos-neg_binary64_6006` `sin-neg_binary64_6005` `tan-0_binary64_6004` `cos-0_binary64_6003` `sin-0_binary64_6002` `hang-m-tan_binary64_6001` `hang-p-tan_binary64_6000` `hang-m0-tan_binary64_5999` `hang-p0-tan_binary64_5998` `hang-0m-tan_binary64_5997` `hang-0p-tan_binary64_5996` `tan-+PI/2_binary64_5995` `tan-+PI_binary64_5994` `tan-PI_binary64_5993` `tan-PI/3_binary64_5992` `tan-PI/4_binary64_5991` `tan-PI/6_binary64_5990` `cos-+PI/2_binary64_5989` `cos-+PI_binary64_5988` `cos-PI_binary64_5987` `cos-PI/2_binary64_5986` `cos-PI/3_binary64_5985` `cos-PI/4_binary64_5984` `cos-PI/6_binary64_5983` `sin-+PI/2_binary64_5982` `sin-+PI_binary64_5981` `sin-PI_binary64_5980` `sin-PI/2_binary64_5979` `sin-PI/3_binary64_5978` `sin-PI/4_binary64_5977` `sin-PI/6_binary64_5976` `sub-1-sin_binary64_5975` `sub-1-cos_binary64_5974` `-1-add-sin_binary64_5973` `-1-add-cos_binary64_5972` `1-sub-sin_binary64_5971` `1-sub-cos_binary64_5970` `cos-sin-sum_binary64_5969` `log-E_binary64_5965` `log-pow_binary64_5964` `log-rec_binary64_5963` `log-div_binary64_5962` `pow-base-0_binary64_5959` `unpow1/3_binary64_5942` `exp-to-pow_binary64_5937` `pow-base-1_binary64_5935` `unpow0_binary64_5934` `unpow-1_binary64_5932` `exp-lft-cube_binary64_5931` `exp-lft-sqr_binary64_5930` `exp-cbrt_binary64_5929` `exp-sqrt_binary64_5928` `div-exp_binary64_5926` `rec-exp_binary64_5925` `exp-neg_binary64_5922` `e-exp-1_binary64_5920` `exp-0_binary64_5917` `rem-log-exp_binary64_5916` `rem-exp-log_binary64_5915` `cube-div_binary64_5904` `cube-neg_binary64_5902` `rem-3cbrt-rft_binary64_5901` `rem-3cbrt-lft_binary64_5900` `rem-cbrt-cube_binary64_5899` `rem-cube-cbrt_binary64_5898` `sqr-abs_binary64_5890` `sqr-neg_binary64_5889` `rem-square-sqrt_binary64_5887` `/-rgt-identity_binary64_5866` `--rgt-identity_binary64_5861` `mul0-rgt_binary64_5858` `mul0-lft_binary64_5857` `div0_binary64_5856` `-inverses_binary64_5855` `+-inverses_binary64_5854` `lft-mult-inverse_binary64_5853` `rgt-mult-inverse_binary64_5852` `remove-double-div_binary64_5851` `cancel-sign-sub_binary64_5840` `distribute-neg-frac_binary64_5839` `distribute-frac-neg_binary64_5838` `distribute-neg-out_binary64_5837` `count-2_binary64_5823` `associate-l/_binary64_5818` `associate--r-_binary64_5814` `associate--l-_binary64_5813`

Counts

17 → 13

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	178
1	82	148
2	168	148
3	468	148
4	1482	148
5	4786	148
6	4976	148
7	4939	148

prune12.0ms (0.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	12	1	13
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	12	2	14

Error

0b

Counts

14 → 2

Compiler

Compiled 124 to 72 computations (41.9% saved)

localize9.0ms (0.6%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 1 (*.f64 x x))
0.0b	(+.f64 (pow.f64 x 4) (-.f64 1 (*.f64 x x)))
14.5b	(/.f64 (+.f64 1 (pow.f64 x 6)) (+.f64 (pow.f64 x 4) (-.f64 1 (*.f64 x x))))

rewrite129.0ms (8.4%)

Algorithm

1×	rewrite-expression-head

Error

0b

Rules

36×	`*-un-lft-identity_binary64_5875`
16×	`times-frac_binary64_5881`
14×	`add-sqr-sqrt_binary64_5897`
13×	`add-cube-cbrt_binary64_5910`
11×	`distribute-lft-out_binary64_5826`
10×	`add-log-exp_binary64_5914`
5×	`add-exp-log_binary64_5913` `add-cbrt-cube_binary64_5911`
4×	`associate-/l_binary64_5820` `associate-/r_binary64_5819`
3×	`pow1_binary64_5936` `flip3-+_binary64_5878` `flip-+_binary64_5849`
2×	`associate-/l/_binary64_5822` `associate-/r/_binary64_5821` `diff-log_binary64_5967` `sum-log_binary64_5966` `sub-neg_binary64_5868` `associate-+r+_binary64_5807` `cancel-sign-sub-inv_binary64_5841` `difference-of-squares_binary64_5844`
1×	`div-exp_binary64_5926` `cbrt-undiv_binary64_5909` `frac-2neg_binary64_5886` `clear-num_binary64_5874` `div-inv_binary64_5872` `associate-+r-_binary64_5809` `+-commutative_binary64_5805` `flip3--_binary64_5879` `flip--_binary64_5850`

Counts

3 → 70

Calls

3 calls:

14.0ms	(/.f64 (+.f64 1 (pow.f64 x 6)) (+.f64 (pow.f64 x 4) (-.f64 1 (*.f64 x x))))
8.0ms	(+.f64 (pow.f64 x 4) (-.f64 1 (*.f64 x x)))
3.0ms	(-.f64 1 (*.f64 x x))

Compiler

Compiled 1822 to 1268 computations (30.4% saved)

series361.0ms (23.5%)

Error

0b

Counts

3 → 21

Calls

3 calls:

168.0ms	(/.f64 (+.f64 1 (pow.f64 x 6)) (+.f64 (pow.f64 x 4) (-.f64 1 (*.f64 x x))))
119.0ms	(+.f64 (pow.f64 x 4) (-.f64 1 (*.f64 x x)))
57.0ms	(-.f64 1 (*.f64 x x))

Compiler

Compiled 535 to 457 computations (14.6% saved)

simplify114.0ms (7.4%)

Algorithm

1×	egg-herbie

Rules

490×	`div-sub_binary64_5880`
458×	`distribute-rgt-in_binary64_5825`
415×	`distribute-lft-in_binary64_5824`
346×	`cancel-sign-sub-inv_binary64_5841`
315×	`unswap-sqr_binary64_5843`
184×	`*-commutative_binary64_5806`
164×	`unsub-neg_binary64_5869`
149×	`sub-neg_binary64_5868`
138×	`exp-prod_binary64_5927`
112×	`associate-+l+_binary64_5808`
108×	`difference-of-squares_binary64_5844`
103×	`associate-/l*_binary64_5820`
98×	`exp-sum_binary64_5921`
96×	`times-frac_binary64_5881`
92×	`distribute-rgt-neg-out_binary64_5835`
86×	`distribute-neg-in_binary64_5836`
75×	`cube-prod_binary64_5903`
71×	`sqr-pow_binary64_5847`
62×	`associate-+r+_binary64_5807`
57×	`distribute-rgt-out_binary64_5828`
55×	`associate-l_binary64_5816`
54×	`neg-mul-1_binary64_5871` `neg-sub0_binary64_5870`
53×	`associate-/r*_binary64_5819`
46×	`+-commutative_binary64_5805`
44×	`associate-r_binary64_5815`
40×	`distribute-rgt-neg-in_binary64_5833`
37×	`associate-+l-_binary64_5810`
36×	`exp-diff_binary64_5923`
34×	`*-lft-identity_binary64_5864` `associate-/l/_binary64_5822`
32×	`distribute-rgt-out--_binary64_5829`
31×	`associate-*l/_binary64_5818`
30×	`*-rgt-identity_binary64_5865` `distribute-lft-neg-in_binary64_5832`
28×	`distribute-lft-out_binary64_5826`
27×	`associate-*r/_binary64_5817`
26×	`swap-sqr_binary64_5842`
24×	`associate--r+_binary64_5811`
21×	`associate-+r-_binary64_5809`
20×	`pow-plus_binary64_5938` `associate-/r/_binary64_5821`
18×	`/-rgt-identity_binary64_5866` `distribute-lft-neg-out_binary64_5834`
17×	`cube-unmult_binary64_5912` `sqr-neg_binary64_5889`
16×	`unpow3_binary64_5941`
15×	`log-prod_binary64_5961`
13×	`+-rgt-identity_binary64_5860` `mul0-rgt_binary64_5858` `mul0-lft_binary64_5857` `distribute-frac-neg_binary64_5838`
12×	`log-div_binary64_5962` `pow-sqr_binary64_5848`
11×	`cube-div_binary64_5904` `distribute-neg-frac_binary64_5839` `distribute-neg-out_binary64_5837` `distribute-lft-out--_binary64_5827` `associate--l+_binary64_5812`
10×	`sub0-neg_binary64_5862`
8×	`difference-of-sqr-1_binary64_5845`
7×	`unpow1/2_binary64_5939` `cube-neg_binary64_5902`
6×	`cube-mult_binary64_5905` `distribute-rgt1-in_binary64_5831` `associate--r-_binary64_5814`
5×	`log-rec_binary64_5963` `rem-sqrt-square_binary64_5888` `distribute-lft1-in_binary64_5830`
4×	`exp-neg_binary64_5922` `difference-of-sqr--1_binary64_5846`
3×	`unpow2_binary64_5940` `div-exp_binary64_5926` `remove-double-neg_binary64_5863` `remove-double-div_binary64_5851` `associate--l-_binary64_5813`
2×	`prod-exp_binary64_5924` `--rgt-identity_binary64_5861`
1×	`unpow1_binary64_5933` `1-exp_binary64_5919` `exp-1-e_binary64_5918` `mul-1-neg_binary64_5867`
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_6138` `erf-erfc_binary64_6137` `erf-odd_binary64_6136` `if-if-and-not_binary64_6135` `if-if-and_binary64_6134` `if-if-or-not_binary64_6133` `if-if-or_binary64_6132` `if-not_binary64_6131` `if-same_binary64_6130` `if-false_binary64_6129` `if-true_binary64_6128` `not-gte_binary64_6127` `not-lte_binary64_6126` `not-gt_binary64_6125` `not-lt_binary64_6124` `gte-same_binary64_6123` `lte-same_binary64_6122` `gt-same_binary64_6121` `lt-same_binary64_6120` `sinh---cosh_binary64_6067` `sinh-+-cosh_binary64_6066` `sinh-cosh_binary64_6065` `tanh-def-c_binary64_6064` `tanh-def-b_binary64_6063` `tanh-def-a_binary64_6062` `cosh-def_binary64_6061` `sinh-def_binary64_6060` `tan-neg_binary64_6007` `cos-neg_binary64_6006` `sin-neg_binary64_6005` `tan-0_binary64_6004` `cos-0_binary64_6003` `sin-0_binary64_6002` `hang-m-tan_binary64_6001` `hang-p-tan_binary64_6000` `hang-m0-tan_binary64_5999` `hang-p0-tan_binary64_5998` `hang-0m-tan_binary64_5997` `hang-0p-tan_binary64_5996` `tan-+PI/2_binary64_5995` `tan-+PI_binary64_5994` `tan-PI_binary64_5993` `tan-PI/3_binary64_5992` `tan-PI/4_binary64_5991` `tan-PI/6_binary64_5990` `cos-+PI/2_binary64_5989` `cos-+PI_binary64_5988` `cos-PI_binary64_5987` `cos-PI/2_binary64_5986` `cos-PI/3_binary64_5985` `cos-PI/4_binary64_5984` `cos-PI/6_binary64_5983` `sin-+PI/2_binary64_5982` `sin-+PI_binary64_5981` `sin-PI_binary64_5980` `sin-PI/2_binary64_5979` `sin-PI/3_binary64_5978` `sin-PI/4_binary64_5977` `sin-PI/6_binary64_5976` `sub-1-sin_binary64_5975` `sub-1-cos_binary64_5974` `-1-add-sin_binary64_5973` `-1-add-cos_binary64_5972` `1-sub-sin_binary64_5971` `1-sub-cos_binary64_5970` `cos-sin-sum_binary64_5969` `log-E_binary64_5965` `log-pow_binary64_5964` `pow-base-0_binary64_5959` `unpow1/3_binary64_5942` `exp-to-pow_binary64_5937` `pow-base-1_binary64_5935` `unpow0_binary64_5934` `unpow-1_binary64_5932` `exp-lft-cube_binary64_5931` `exp-lft-sqr_binary64_5930` `exp-cbrt_binary64_5929` `exp-sqrt_binary64_5928` `rec-exp_binary64_5925` `e-exp-1_binary64_5920` `exp-0_binary64_5917` `rem-log-exp_binary64_5916` `rem-exp-log_binary64_5915` `rem-3cbrt-rft_binary64_5901` `rem-3cbrt-lft_binary64_5900` `rem-cbrt-cube_binary64_5899` `rem-cube-cbrt_binary64_5898` `sqr-abs_binary64_5890` `rem-square-sqrt_binary64_5887` `+-lft-identity_binary64_5859` `div0_binary64_5856` `*-inverses_binary64_5855` `+-inverses_binary64_5854` `lft-mult-inverse_binary64_5853` `rgt-mult-inverse_binary64_5852` `cancel-sign-sub_binary64_5840` `count-2_binary64_5823`

Counts

91 → 73

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	117	1969
1	275	1842
2	907	1842
3	2825	1842
4	4660	1842
5	5548	1842

prune95.0ms (6.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	73	0	73
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	73	2	75

Error

0b

Counts

75 → 2

Compiler

Compiled 1596 to 1100 computations (31.1% saved)

regimes49.0ms (3.2%)

Accuracy

Total 0.0b remaining (66.7%)

Threshold costs 0.0b (66.7%)

Compiler

Compiled 306 to 224 computations (26.8% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1× 1-exp_binary64_5919 +-commutative_binary64_5805

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_6135 if-if-and_binary64_6134 if-if-or-not_binary64_6133 if-if-or_binary64_6132 if-not_binary64_6131 if-same_binary64_6130 if-false_binary64_6129 if-true_binary64_6128 tan-0_binary64_6004 cos-0_binary64_6003 sin-0_binary64_6002 unpow1_binary64_5933 e-exp-1_binary64_5920 exp-1-e_binary64_5918 exp-0_binary64_5917 sqr-abs_binary64_5890 sqr-neg_binary64_5889 neg-mul-1_binary64_5871 neg-sub0_binary64_5870 unsub-neg_binary64_5869 sub-neg_binary64_5868 mul-1-neg_binary64_5867 /-rgt-identity_binary64_5866 *-rgt-identity_binary64_5865 *-lft-identity_binary64_5864 remove-double-neg_binary64_5863 sub0-neg_binary64_5862 --rgt-identity_binary64_5861 +-rgt-identity_binary64_5860 +-lft-identity_binary64_5859 cancel-sign-sub-inv_binary64_5841 cancel-sign-sub_binary64_5840 distribute-neg-frac_binary64_5839 distribute-frac-neg_binary64_5838 distribute-neg-out_binary64_5837 distribute-neg-in_binary64_5836 distribute-rgt-neg-out_binary64_5835 distribute-lft-neg-out_binary64_5834 distribute-rgt-neg-in_binary64_5833 distribute-lft-neg-in_binary64_5832 *-commutative_binary64_5806

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	8	7
2	7	7

end0.0ms (0%)

sample439.0ms (28.5%)

Algorithm

1×

intervals

Results

132.0ms

8000×

body

128

valid

Compiler

Compiled 107 to 80 computations (25.2% saved)

Details

analyze152.0ms (9.9%)

sample11.0ms (0.7%)

simplify8.0ms (0.5%)

prune1.0ms (0.1%)

localize3.0ms (0.2%)

rewrite14.0ms (0.9%)

series53.0ms (3.4%)

simplify86.0ms (5.6%)

prune12.0ms (0.8%)

localize9.0ms (0.6%)

rewrite129.0ms (8.4%)

series361.0ms (23.5%)

simplify114.0ms (7.4%)

prune95.0ms (6.1%)

regimes49.0ms (3.2%)

bsearch0.0ms (0%)

simplify3.0ms (0.2%)

end0.0ms (0%)

sample439.0ms (28.5%)

Profiling