Metrics for AI.Clustering.Hierarchical.Internal:average from clustering-0.2.1, A

analyze53.0ms (2.5%)

Algorithm

1×	search
2×	egg-herbie

Rules

1× +-commutative_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 exp-to-pow_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 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 1-exp_binary64 exp-1-e_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_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 times-frac_binary64 div-sub_binary64 neg-mul-1_binary64 neg-sub0_binary64 unsub-neg_binary64 sub-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 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 sqr-pow_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 difference-of-squares_binary64 unswap-sqr_binary64 swap-sqr_binary64 cancel-sign-sub-inv_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 distribute-lft-neg-out_binary64 distribute-rgt-neg-in_binary64 distribute-lft-neg-in_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 distribute-rgt-in_binary64 distribute-lft-in_binary64 count-2_binary64 associate-/l/_binary64 associate-/r/_binary64 associate-/l*_binary64 associate-/r*_binary64 associate-*l/_binary64 associate-*r/_binary64 associate-*l*_binary64 associate-*r*_binary64 associate--r-_binary64 associate--l-_binary64 associate--l+_binary64 associate--r+_binary64 associate-+l-_binary64 associate-+r-_binary64 associate-+l+_binary64 associate-+r+_binary64 *-commutative_binary64

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	14
1	7	14
2	7	14
0	2	2
1	2	2

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
25%	74.9%	0.1%	4
43.7%	56.2%	0.1%	5
65.6%	34.3%	0.1%	6
76.5%	23.4%	0.1%	7
82%	18%	0.1%	8
87.8%	12.1%	0.1%	9
90.7%	9.2%	0.1%	10
93.8%	6.1%	0.1%	11
95.3%	4.6%	0.1%	12
96.8%	3.1%	0.1%	13
97.6%	2.3%	0.1%	14

Compiler

Compiled 6 to 5 computations (16.7% saved)

sample13.0ms (0.6%)

Algorithm

1×

intervals

Results

5.0ms

256×

body

128

valid

Compiler

Compiled 11 to 11 computations (0% saved)

simplify13.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1× +-commutative_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 exp-to-pow_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 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 1-exp_binary64 exp-1-e_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_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 times-frac_binary64 div-sub_binary64 neg-mul-1_binary64 neg-sub0_binary64 unsub-neg_binary64 sub-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 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 sqr-pow_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 difference-of-squares_binary64 unswap-sqr_binary64 swap-sqr_binary64 cancel-sign-sub-inv_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 distribute-lft-neg-out_binary64 distribute-rgt-neg-in_binary64 distribute-lft-neg-in_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 distribute-rgt-in_binary64 distribute-lft-in_binary64 count-2_binary64 associate-/l/_binary64 associate-/r/_binary64 associate-/l*_binary64 associate-/r*_binary64 associate-*l/_binary64 associate-*r/_binary64 associate-*l*_binary64 associate-*r*_binary64 associate--r-_binary64 associate--l-_binary64 associate--l+_binary64 associate--r+_binary64 associate-+l-_binary64 associate-+r-_binary64 associate-+l+_binary64 associate-+r+_binary64 *-commutative_binary64

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	6	7
2	6	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 x (+.f64 x y))

rewrite24.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

0b

Rules

18×	`*-un-lft-identity_binary64`
12×	`times-frac_binary64`
10×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
4×	`distribute-lft-out_binary64` `associate-/r*_binary64`
3×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-/l*_binary64`
2×	`associate-/r/_binary64`
1×	`pow1_binary64` `div-exp_binary64` `add-log-exp_binary64` `cbrt-undiv_binary64` `frac-2neg_binary64` `clear-num_binary64` `div-inv_binary64` `flip3-+_binary64` `flip-+_binary64`

Counts

1 → 33

Calls

1 calls:

5.0ms

(/.f64 x (+.f64 x y))

Compiler

Compiled 356 to 101 computations (71.6% saved)

series31.0ms (1.5%)

Error

0.0b

Counts

1 → 18

Calls

1 calls:

23.0ms

(/.f64 x (+.f64 x y))

Compiler

Compiled 273 to 224 computations (17.9% saved)

simplify71.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

585×	`associate-/l*_binary64`
383×	`div-sub_binary64`
367×	`associate-l_binary64`
343×	`associate-/l/_binary64`
339×	`associate-/r*_binary64`
305×	`associate-*l/_binary64`
257×	`associate-/r/_binary64`
198×	`associate-*r/_binary64`
168×	`cancel-sign-sub-inv_binary64`
163×	`distribute-rgt-in_binary64`
151×	`distribute-lft-in_binary64`
96×	`distribute-neg-frac_binary64`
88×	`unswap-sqr_binary64`
85×	`times-frac_binary64`
71×	`distribute-rgt-neg-in_binary64`
69×	`sub-neg_binary64` `distribute-lft-neg-in_binary64`
39×	`cube-div_binary64`
32×	`*-commutative_binary64`
31×	`associate-r_binary64`
30×	`distribute-rgt-out_binary64`
29×	`neg-mul-1_binary64` `neg-sub0_binary64`
28×	`cube-prod_binary64`
24×	`sqr-pow_binary64`
21×	`associate-+r+_binary64`
20×	`log-div_binary64` `cube-unmult_binary64` `associate-+l+_binary64`
19×	`distribute-lft-out_binary64` `+-commutative_binary64`
16×	`associate-+l-_binary64`
15×	`distribute-rgt-out--_binary64`
13×	`associate-+r-_binary64`
12×	`unpow3_binary64` `*-rgt-identity_binary64` `associate--l+_binary64`
10×	`log-prod_binary64` `pow-plus_binary64` `difference-of-squares_binary64`
9×	`unsub-neg_binary64` `sub0-neg_binary64`
7×	`+-rgt-identity_binary64` `associate--r+_binary64`
6×	`*-lft-identity_binary64` `distribute-lft-out--_binary64`
5×	`distribute-neg-in_binary64` `distribute-rgt1-in_binary64`
4×	`cube-mult_binary64` `/-rgt-identity_binary64`
3×	`log-pow_binary64` `sqr-neg_binary64` `rem-sqrt-square_binary64` `swap-sqr_binary64` `distribute-lft-neg-out_binary64`
2×	`log-rec_binary64` `unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `pow-sqr_binary64` `distribute-rgt-neg-out_binary64` `count-2_binary64` `associate--l-_binary64`
1×	`exp-prod_binary64` `1-exp_binary64` `cube-neg_binary64` `remove-double-neg_binary64` `--rgt-identity_binary64` `div0_binary64` `difference-of-sqr--1_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_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` `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` `exp-sum_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `rem-square-sqrt_binary64` `mul-1-neg_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr-1_binary64` `distribute-neg-out_binary64` `distribute-lft1-in_binary64`

Counts

51 → 22

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	73	692
1	158	662
2	385	635
3	1141	632
4	4532	632
5	5326	632

prune11.0ms (0.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	20	2	22
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	20	3	23

Error

0b

Counts

23 → 3

Compiler

Compiled 152 to 77 computations (49.3% saved)

localize8.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.1b	(*.f64 (/.f64 y x) (-.f64 1 (/.f64 y x)))
0.2b	(pow.f64 (/.f64 y x) 3)
10.3b	(-.f64 (-.f64 1 (*.f64 (/.f64 y x) (-.f64 1 (/.f64 y x)))) (pow.f64 (/.f64 y x) 3))

rewrite179.0ms (8.6%)

Algorithm

1×	rewrite-expression-head

Error

0b

Rules

81×	`add-sqr-sqrt_binary64`
68×	`times-frac_binary64`
61×	`*-un-lft-identity_binary64`
59×	`cancel-sign-sub-inv_binary64`
55×	`add-cube-cbrt_binary64`
28×	`unpow-prod-down_binary64` `cube-prod_binary64`
14×	`distribute-rgt-in_binary64` `distribute-lft-in_binary64`
13×	`associate-l_binary64`
11×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
10×	`difference-of-squares_binary64`
8×	`add-log-exp_binary64` `associate-r_binary64`
7×	`div-inv_binary64`
6×	`pow1_binary64`
4×	`flip3--_binary64` `flip--_binary64` `sub-neg_binary64`
3×	`diff-log_binary64` `cube-div_binary64` `sqr-pow_binary64` `pow-unpow_binary64`
2×	`frac-sub_binary64` `unpow3_binary64` `cube-mult_binary64` `distribute-lft-out--_binary64` `associate--l+_binary64` `div-exp_binary64` `pow-exp_binary64` `rem-cube-cbrt_binary64` `cbrt-undiv_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `frac-times_binary64` `unswap-sqr_binary64` `associate-*r/_binary64`
1×	`associate--l-_binary64` `pow-pow_binary64` `pow-to-exp_binary64` `pow-prod-down_binary64` `associate-l/_binary64` `-commutative_binary64`

Counts

3 → 171

Calls

3 calls:

21.0ms	(-.f64 (-.f64 1 (*.f64 (/.f64 y x) (-.f64 1 (/.f64 y x)))) (pow.f64 (/.f64 y x) 3))
15.0ms	(*.f64 (/.f64 y x) (-.f64 1 (/.f64 y x)))
5.0ms	(pow.f64 (/.f64 y x) 3)

Compiler

Compiled 3874 to 1817 computations (53.1% saved)

series105.0ms (5%)

Error

0b

Counts

3 → 42

Calls

3 calls:

35.0ms	(*.f64 (/.f64 y x) (-.f64 1 (/.f64 y x)))
34.0ms	(-.f64 (-.f64 1 (*.f64 (/.f64 y x) (-.f64 1 (/.f64 y x)))) (pow.f64 (/.f64 y x) 3))
25.0ms	(pow.f64 (/.f64 y x) 3)

Compiler

Compiled 1001 to 772 computations (22.9% saved)

simplify209.0ms (10%)

Algorithm

1×	egg-herbie

Rules

437×	`associate-l_binary64`
404×	`associate-r_binary64`
245×	`associate-*l/_binary64`
218×	`associate-*r/_binary64`
209×	`exp-prod_binary64`
198×	`*-commutative_binary64`
159×	`log-div_binary64`
156×	`log-prod_binary64`
145×	`cube-prod_binary64`
113×	`associate-/l*_binary64`
104×	`cube-div_binary64`
97×	`cancel-sign-sub-inv_binary64`
80×	`distribute-rgt-neg-in_binary64`
74×	`distribute-lft-neg-out_binary64`
67×	`log-pow_binary64` `sqr-pow_binary64`
65×	`distribute-rgt-in_binary64`
63×	`div-sub_binary64` `neg-mul-1_binary64`
60×	`neg-sub0_binary64` `sub-neg_binary64` `distribute-lft-neg-in_binary64` `distribute-lft-in_binary64`
57×	`+-commutative_binary64`
48×	`distribute-rgt-neg-out_binary64`
44×	`unpow3_binary64`
41×	`cube-mult_binary64`
32×	`times-frac_binary64`
30×	`distribute-neg-frac_binary64`
29×	`unswap-sqr_binary64`
28×	`associate-/r*_binary64`
22×	`associate-/l/_binary64`
18×	`rem-sqrt-square_binary64`
12×	`pow-plus_binary64` `exp-sum_binary64`
11×	`swap-sqr_binary64` `distribute-rgt-out_binary64` `associate-+r-_binary64`
10×	`associate-+r+_binary64`
9×	`exp-diff_binary64` `associate-+l+_binary64`
8×	`log-rec_binary64` `distribute-neg-in_binary64` `associate--r+_binary64`
7×	`cube-unmult_binary64` `associate--l+_binary64`
6×	`pow-sqr_binary64`
5×	`*-lft-identity_binary64` `distribute-rgt1-in_binary64` `associate-+l-_binary64`
4×	`rem-square-sqrt_binary64` `mul-1-neg_binary64` `*-rgt-identity_binary64` `distribute-lft-out_binary64` `associate-/r/_binary64`
3×	`unpow1/2_binary64` `unpow1_binary64` `div-exp_binary64` `rem-cube-cbrt_binary64` `sqr-neg_binary64` `associate--l-_binary64`
2×	`unpow2_binary64` `rem-cbrt-cube_binary64` `/-rgt-identity_binary64` `difference-of-squares_binary64`
1×	`prod-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `unsub-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_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` `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` `rec-exp_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` `sqr-abs_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_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` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-lft1-in_binary64` `count-2_binary64`

Counts

213 → 179

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	290	4036
1	882	3618
2	3859	3588
3	4838	3588
4	4994	3588
5	4923	3588

prune59.0ms (2.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	179	0	179
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	179	3	182

Error

0b

Counts

182 → 3

Compiler

Compiled 1777 to 876 computations (50.7% saved)

localize16.0ms (0.7%)

Local error

Found 4 expressions with local error:

2.3b	(+.f64 (pow.f64 y 3) (pow.f64 x 3))
3.2b	(-.f64 (.f64 y y) (.f64 x y))
7.7b	(/.f64 x (+.f64 (pow.f64 y 3) (pow.f64 x 3)))
35.6b	(.f64 (/.f64 x (+.f64 (pow.f64 y 3) (pow.f64 x 3))) (+.f64 (.f64 x x) (-.f64 (.f64 y y) (.f64 x y))))

rewrite156.0ms (7.5%)

Algorithm

1×	rewrite-expression-head

Error

0b

Rules

112×	`*-un-lft-identity_binary64`
55×	`times-frac_binary64`
40×	`distribute-lft-out_binary64`
37×	`add-sqr-sqrt_binary64`
33×	`associate-l_binary64`
32×	`add-cube-cbrt_binary64` `unpow-prod-down_binary64` `cube-prod_binary64`
11×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`associate-/r*_binary64`
8×	`add-log-exp_binary64` `sum-cubes_binary64`
6×	`pow1_binary64`
5×	`flip3-+_binary64` `flip-+_binary64`
4×	`associate-/r/_binary64`
3×	`associate-r_binary64` `associate-/l*_binary64`
2×	`div-exp_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `frac-times_binary64` `unswap-sqr_binary64` `associate-*r/_binary64` `div-inv_binary64`
1×	`pow-prod-down_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64` `associate-l/_binary64` `-commutative_binary64` `frac-2neg_binary64` `clear-num_binary64` `diff-log_binary64` `flip3--_binary64` `sub-neg_binary64` `flip--_binary64` `cancel-sign-sub-inv_binary64` `distribute-rgt-out--_binary64` `sum-log_binary64` `+-commutative_binary64`

Counts

4 → 141

Calls

4 calls:

25.0ms	(.f64 (/.f64 x (+.f64 (pow.f64 y 3) (pow.f64 x 3))) (+.f64 (.f64 x x) (-.f64 (.f64 y y) (.f64 x y))))
14.0ms	(/.f64 x (+.f64 (pow.f64 y 3) (pow.f64 x 3)))
11.0ms	(+.f64 (pow.f64 y 3) (pow.f64 x 3))
4.0ms	(-.f64 (.f64 y y) (.f64 x y))

Compiler

Compiled 3567 to 1422 computations (60.1% saved)

series134.0ms (6.4%)

Error

0b

Counts

4 → 51

Calls

4 calls:

36.0ms	(+.f64 (pow.f64 y 3) (pow.f64 x 3))
31.0ms	(.f64 (/.f64 x (+.f64 (pow.f64 y 3) (pow.f64 x 3))) (+.f64 (.f64 x x) (-.f64 (.f64 y y) (.f64 x y))))
29.0ms	(/.f64 x (+.f64 (pow.f64 y 3) (pow.f64 x 3)))
27.0ms	(-.f64 (.f64 y y) (.f64 x y))

Compiler

Compiled 1513 to 1039 computations (31.3% saved)

simplify160.0ms (7.7%)

Algorithm

1×	egg-herbie

Rules

488×	`associate-/l*_binary64`
274×	`cancel-sign-sub-inv_binary64`
246×	`times-frac_binary64`
216×	`div-sub_binary64`
191×	`associate-l_binary64`
176×	`associate-r_binary64`
154×	`distribute-rgt-in_binary64`
145×	`unswap-sqr_binary64`
144×	`distribute-lft-in_binary64`
124×	`exp-prod_binary64`
120×	`*-commutative_binary64`
109×	`distribute-rgt-neg-in_binary64`
93×	`associate-*l/_binary64`
91×	`distribute-lft-neg-in_binary64`
88×	`associate-/l/_binary64`
84×	`distribute-rgt-out_binary64`
81×	`sub-neg_binary64`
63×	`associate-*r/_binary64`
61×	`associate-/r/_binary64`
59×	`sqr-pow_binary64`
56×	`distribute-lft-neg-out_binary64`
51×	`cube-prod_binary64`
50×	`distribute-lft-out_binary64`
47×	`distribute-rgt-out--_binary64`
40×	`+-commutative_binary64`
39×	`difference-of-squares_binary64` `distribute-rgt-neg-out_binary64`
34×	`exp-sum_binary64`
33×	`cube-div_binary64`
32×	`neg-mul-1_binary64` `neg-sub0_binary64`
29×	`distribute-lft-out--_binary64`
27×	`log-prod_binary64`
25×	`log-div_binary64` `distribute-neg-frac_binary64`
21×	`associate-/r*_binary64`
20×	`*-rgt-identity_binary64`
19×	`exp-diff_binary64`
18×	`unpow3_binary64`
17×	`distribute-neg-in_binary64`
14×	`pow-plus_binary64`
12×	`cube-mult_binary64` `*-lft-identity_binary64`
11×	`cube-unmult_binary64` `swap-sqr_binary64`
9×	`associate-+l+_binary64`
8×	`associate-+r-_binary64`
7×	`pow-sqr_binary64` `associate--l+_binary64`
6×	`unsub-neg_binary64` `associate--r+_binary64`
5×	`/-rgt-identity_binary64` `associate-+l-_binary64`
4×	`log-pow_binary64` `log-rec_binary64`
3×	`unpow1/2_binary64` `+-rgt-identity_binary64` `associate-+r+_binary64`
2×	`unpow2_binary64` `unpow1_binary64` `exp-neg_binary64` `rem-sqrt-square_binary64`
1×	`div-exp_binary64` `prod-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `cube-neg_binary64` `sqr-neg_binary64` `remove-double-neg_binary64` `distribute-rgt1-in_binary64` `associate--r-_binary64` `associate--l-_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` `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` `rec-exp_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `rem-square-sqrt_binary64` `mul-1-neg_binary64` `sub0-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` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-lft1-in_binary64` `count-2_binary64`

Counts

192 → 133

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	192	3976
1	609	3715
2	2208	3688
3	4651	3688
4	5326	3688

prune57.0ms (2.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	133	0	133
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	133	3	136

Error

0b

Counts

136 → 3

Compiler

Compiled 2104 to 860 computations (59.1% saved)

regimes102.0ms (4.9%)

Accuracy

Total 0.0b remaining (47.3%)

Threshold costs 0.0b (47.3%)

Compiler

Compiled 881 to 655 computations (25.7% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1× +-commutative_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 neg-mul-1_binary64 neg-sub0_binary64 unsub-neg_binary64 sub-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-inv_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 distribute-lft-neg-out_binary64 distribute-rgt-neg-in_binary64 distribute-lft-neg-in_binary64 *-commutative_binary64

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	6	7
2	6	7

end1.0ms (0%)

Compiler: Compiled 5 to 4 computations (20% saved)

sample679.0ms (32.6%)

Algorithm

1×

intervals

Results

372.0ms

8000×

body

128

valid

Compiler

Compiled 57 to 49 computations (14% saved)

Details

analyze53.0ms (2.5%)

sample13.0ms (0.6%)

simplify13.0ms (0.6%)

prune1.0ms (0.1%)

localize3.0ms (0.2%)

rewrite24.0ms (1.2%)

series31.0ms (1.5%)

simplify71.0ms (3.4%)

prune11.0ms (0.5%)

localize8.0ms (0.4%)

rewrite179.0ms (8.6%)

series105.0ms (5%)

simplify209.0ms (10%)

prune59.0ms (2.8%)

localize16.0ms (0.7%)

rewrite156.0ms (7.5%)

series134.0ms (6.4%)

simplify160.0ms (7.7%)

prune57.0ms (2.7%)

regimes102.0ms (4.9%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end1.0ms (0%)

sample679.0ms (32.6%)

Profiling