Details

analyze73.0ms (7.8%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
25%	62.4%	12.6%	6
25%	50%	25.1%	7
31.2%	37.5%	31.3%	8
39%	24.2%	36.8%	9
42.9%	18.3%	38.7%	10
47.2%	11.9%	40.9%	11
49.4%	9.1%	41.6%	12
51.6%	5.9%	42.5%	13
52.7%	4.5%	42.8%	14

Compiler

Compiled 8 to 6 computations (25% saved)

sample14.0ms (1.5%)

Algorithm

1×

intervals

Results

5.0ms	256×	body	128	valid
0.0ms	4×	body	128	invalid

Compiler

Compiled 15 to 13 computations (13.3% saved)

simplify396.0ms (42.1%)

Algorithm

1×	egg-herbie

Rules

951×	`exp-prod_binary64_5927`
453×	`exp-sum_binary64_5921`
358×	`exp-diff_binary64_5923`
245×	`associate--l-_binary64_5813`
226×	`associate--r-_binary64_5814`
218×	`swap-sqr_binary64_5842`
204×	`cube-prod_binary64_5903` `unsub-neg_binary64_5869`
149×	`distribute-rgt1-in_binary64_5831`
125×	`distribute-lft-neg-in_binary64_5832`
113×	`distribute-rgt-in_binary64_5825`
110×	`unpow3_binary64_5941`
105×	`distribute-rgt-neg-in_binary64_5833`
103×	`distribute-neg-in_binary64_5836`
100×	`sub-neg_binary64_5868`
93×	`*-commutative_binary64_5806`
89×	`associate-+l+_binary64_5808`
83×	`associate-+l-_binary64_5810`
70×	`pow-plus_binary64_5938`
69×	`associate-+r+_binary64_5807`
68×	`neg-mul-1_binary64_5871`
64×	`associate--r+_binary64_5811`
61×	`neg-sub0_binary64_5870`
57×	`distribute-lft-in_binary64_5824`
56×	`distribute-rgt-neg-out_binary64_5835`
53×	`+-commutative_binary64_5805`
44×	`distribute-neg-out_binary64_5837` `distribute-lft-neg-out_binary64_5834`
34×	`exp-neg_binary64_5922`
32×	`distribute-rgt-out_binary64_5828`
30×	`sub0-neg_binary64_5862`
28×	`sqr-neg_binary64_5889`
27×	`associate--l+_binary64_5812`
25×	`associate-r_binary64_5815`
16×	`distribute-lft-out_binary64_5826` `associate-l_binary64_5816`
15×	`+-rgt-identity_binary64_5860`
13×	`exp-lft-sqr_binary64_5930` `remove-double-neg_binary64_5863`
12×	`associate-+r-_binary64_5809`
11×	`cancel-sign-sub-inv_binary64_5841`
6×	`mul0-rgt_binary64_5858` `mul0-lft_binary64_5857` `count-2_binary64_5823`
5×	`+-lft-identity_binary64_5859` `distribute-lft1-in_binary64_5830`
4×	`cube-neg_binary64_5902`
2×	`--rgt-identity_binary64_5861` `+-inverses_binary64_5854` `distribute-rgt-out--_binary64_5829`
1×	`pow-base-0_binary64_5959` `1-exp_binary64_5919` `cube-unmult_binary64_5912` `*-lft-identity_binary64_5864` `pow-sqr_binary64_5848` `sqr-pow_binary64_5847` `difference-of-sqr--1_binary64_5846`
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` `unpow1/3_binary64_5942` `unpow2_binary64_5940` `unpow1/2_binary64_5939` `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-cbrt_binary64_5929` `exp-sqrt_binary64_5928` `div-exp_binary64_5926` `rec-exp_binary64_5925` `prod-exp_binary64_5924` `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-mult_binary64_5905` `cube-div_binary64_5904` `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-sqrt-square_binary64_5888` `rem-square-sqrt_binary64_5887` `times-frac_binary64_5881` `div-sub_binary64_5880` `mul-1-neg_binary64_5867` `/-rgt-identity_binary64_5866` `-rgt-identity_binary64_5865` `div0_binary64_5856` `-inverses_binary64_5855` `lft-mult-inverse_binary64_5853` `rgt-mult-inverse_binary64_5852` `remove-double-div_binary64_5851` `difference-of-sqr-1_binary64_5845` `difference-of-squares_binary64_5844` `unswap-sqr_binary64_5843` `cancel-sign-sub_binary64_5840` `distribute-neg-frac_binary64_5839` `distribute-frac-neg_binary64_5838` `distribute-lft-out--_binary64_5827` `associate-/l/_binary64_5822` `associate-/r/_binary64_5821` `associate-/l_binary64_5820` `associate-/r_binary64_5819` `associate-l/_binary64_5818` `associate-r/_binary64_5817`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	10
1	10	10
2	29	10
3	67	10
4	131	10
5	250	10
6	563	10
7	978	10
8	2964	10

prune2.0ms (0.2%)

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

Counts

2 → 1

Compiler

Compiled 14 to 10 computations (28.6% saved)

localize4.0ms (0.4%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Error

Counts

0 → 0

Compiler

Compiled 0 to 0 computations (0% saved)

series0.0ms (0%)

Error: 0b
Counts: 0 → 0
Compiler: Compiled 0 to 0 computations (0% saved)

simplify11.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

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 1-exp_binary64_5919 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 +-commutative_binary64_5805

Counts

0 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

prune1.0ms (0.1%)

Pruning

1 alts after pruning (0 fresh and 1 done)

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

Error

Counts

1 → 1

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify3.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

3×	`+-commutative_binary64_5805`
2×	`sub-neg_binary64_5868` `*-commutative_binary64_5806`
1×	`neg-mul-1_binary64_5871` `neg-sub0_binary64_5870`
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` `1-exp_binary64_5919` `exp-1-e_binary64_5918` `exp-0_binary64_5917` `sqr-abs_binary64_5890` `sqr-neg_binary64_5889` `unsub-neg_binary64_5869` `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`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	10
1	10	10
2	15	10
3	17	10
4	18	10

Proof

(* f64 (+ f64 h0 h1) (- f64 h0 h1))

end0.0ms (0%)

sample436.0ms (46.3%)

Algorithm

1×

intervals

Results

174.0ms	8000×	body	128	valid
3.0ms	164×	body	128	invalid

Compiler

Compiled 22 to 18 computations (18.2% saved)

Details

analyze73.0ms (7.8%)

sample14.0ms (1.5%)

simplify396.0ms (42.1%)

prune2.0ms (0.2%)

localize4.0ms (0.4%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify11.0ms (1.2%)

prune1.0ms (0.1%)

simplify3.0ms (0.3%)

end0.0ms (0%)

sample436.0ms (46.3%)

Profiling