Details

analyze301.0ms (7.3%)

Algorithm

1×	search
2×	egg-herbie

Rules

948×	`div-sub_binary64`
542×	`sub-neg_binary64`
535×	`associate-/l*_binary64`
531×	`distribute-rgt-in_binary64`
459×	`unsub-neg_binary64`
417×	`associate-/l/_binary64`
390×	`distribute-lft-in_binary64`
360×	`times-frac_binary64`
331×	`cancel-sign-sub-inv_binary64`
297×	`associate-/r*_binary64`
189×	`associate-/r/_binary64`
167×	`distribute-neg-in_binary64`
150×	`distribute-rgt-neg-in_binary64`
137×	`*-commutative_binary64`
129×	`neg-mul-1_binary64`
127×	`distribute-neg-frac_binary64`
110×	`distribute-frac-neg_binary64`
109×	`distribute-lft-neg-in_binary64`
108×	`neg-sub0_binary64`
100×	`associate--r-_binary64`
74×	`associate-*l/_binary64`
72×	`associate--l-_binary64` `associate-+r-_binary64`
63×	`distribute-rgt-neg-out_binary64`
61×	`distribute-lft-neg-out_binary64`
59×	`+-commutative_binary64`
46×	`associate--r+_binary64`
44×	`associate-r_binary64`
38×	`associate-*r/_binary64`
37×	`associate-+l-_binary64`
32×	`associate-l_binary64`
28×	`mul0-rgt_binary64`
27×	`remove-double-neg_binary64` `mul0-lft_binary64`
26×	`div0_binary64`
23×	`*-lft-identity_binary64`
20×	`+-rgt-identity_binary64` `associate--l+_binary64`
17×	`sub0-neg_binary64`
16×	`--rgt-identity_binary64`
14×	`mul-1-neg_binary64`
12×	`/-rgt-identity_binary64` `*-rgt-identity_binary64`
9×	`associate-+l+_binary64`
8×	`associate-+r+_binary64`
7×	`remove-double-div_binary64` `distribute-neg-out_binary64`
6×	`+-lft-identity_binary64`
4×	`distribute-lft-out--_binary64`
2×	`*-inverses_binary64`
1×	`1-exp_binary64` `distribute-rgt-out--_binary64` `distribute-rgt-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` `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` `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` `fabs-div_binary64` `fabs-mul_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_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_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-lft-out_binary64` `count-2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	26
1	25	26
2	46	26
3	89	26
4	169	26
5	269	26
6	804	26
7	1200	26
8	1956	26
9	1807	26
10	1894	26
11	2070	26
12	2090	26
13	1918	26
14	2650	26
15	2170	26
16	2176	26
17	2182	26
18	2194	26
19	2188	26
20	2188	26
21	2188	26
22	2284	26
23	2332	26
24	2142	26
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
25%	74.9%	0.1%	3
25%	74.9%	0.1%	4
56.2%	43.7%	0.1%	5
65.6%	34.3%	0.1%	6
79.6%	20.3%	0.1%	7
83.5%	16.4%	0.1%	8
90.1%	9.8%	0.1%	9
91.9%	8%	0.1%	10
95.1%	4.8%	0.1%	11
96%	4%	0.1%	12
97.5%	2.4%	0.1%	13
97.9%	2%	0.1%	14

Compiler

Compiled 10 to 8 computations (20% saved)

sample15.0ms (0.4%)

Algorithm

1×

intervals

Results

6.0ms

256×

body

128

valid

Compiler

Compiled 19 to 17 computations (10.5% saved)

simplify222.0ms (5.4%)

Algorithm

1×	egg-herbie

Rules

700×	`div-sub_binary64`
434×	`sub-neg_binary64`
412×	`distribute-rgt-in_binary64`
366×	`associate-/l*_binary64`
361×	`associate-/l/_binary64`
333×	`distribute-lft-in_binary64`
313×	`associate-/r/_binary64`
250×	`times-frac_binary64` `unsub-neg_binary64`
233×	`associate-/r*_binary64`
232×	`cancel-sign-sub-inv_binary64`
129×	`*-commutative_binary64`
117×	`neg-mul-1_binary64`
110×	`distribute-frac-neg_binary64` `distribute-rgt-neg-in_binary64`
99×	`distribute-neg-frac_binary64`
93×	`associate--r+_binary64`
83×	`distribute-lft-neg-in_binary64` `associate--l-_binary64`
82×	`distribute-neg-in_binary64`
75×	`neg-sub0_binary64`
73×	`distribute-lft-neg-out_binary64`
72×	`distribute-rgt-neg-out_binary64`
54×	`associate-*l/_binary64`
51×	`associate--r-_binary64`
50×	`associate-+l-_binary64`
40×	`associate--l+_binary64`
32×	`distribute-rgt-out--_binary64` `+-commutative_binary64`
29×	`sub0-neg_binary64`
28×	`mul0-rgt_binary64` `associate-+r-_binary64`
26×	`div0_binary64`
23×	`mul0-lft_binary64`
19×	`*-lft-identity_binary64`
18×	`distribute-neg-out_binary64`
16×	`mul-1-neg_binary64`
15×	`+-rgt-identity_binary64`
14×	`associate-r_binary64`
12×	`/-rgt-identity_binary64` `associate-l_binary64` `associate-+l+_binary64`
11×	`associate-+r+_binary64`
9×	`associate-*r/_binary64`
7×	`remove-double-neg_binary64` `remove-double-div_binary64`
5×	`*-rgt-identity_binary64` `--rgt-identity_binary64`
4×	`distribute-rgt1-in_binary64`
3×	`*-inverses_binary64` `distribute-lft-out--_binary64`
2×	`+-lft-identity_binary64` `lft-mult-inverse_binary64`
1×	`1-exp_binary64` `distribute-rgt-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` `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` `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` `fabs-div_binary64` `fabs-mul_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `+-inverses_binary64` `rgt-mult-inverse_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_binary64` `distribute-lft1-in_binary64` `distribute-lft-out_binary64` `count-2_binary64`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	18	13
2	35	13
3	71	13
4	135	13
5	221	13
6	569	13
7	929	13
8	1760	13
9	1962	13
10	2270	13
11	2228	13
12	2282	13
13	2296	13
14	2198	13
15	2188	13
16	2188	13
17	2188	13
18	2188	13
19	2284	13
20	2332	13
21	2142	13

prune1.0ms (0%)

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 9 to 7 computations (22.2% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b	(/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))

rewrite56.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

58×	`*-un-lft-identity_binary64`
40×	`add-sqr-sqrt_binary64`
30×	`times-frac_binary64`
19×	`distribute-lft-out--_binary64`
14×	`add-cube-cbrt_binary64`
13×	`difference-of-squares_binary64`
6×	`distribute-lft-out_binary64` `associate-/r*_binary64`
5×	`associate-/l*_binary64`
3×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
2×	`flip3--_binary64` `associate-/l/_binary64` `flip--_binary64` `associate-/r/_binary64`
1×	`pow1_binary64` `div-exp_binary64` `add-log-exp_binary64` `cbrt-undiv_binary64` `frac-2neg_binary64` `div-sub_binary64` `clear-num_binary64` `div-inv_binary64`

Counts

1 → 58

Calls

1 calls:

10.0ms

(/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))

Compiler

Compiled 826 to 347 computations (58% saved)

series72.0ms (1.7%)

Error

Counts

1 → 22

Calls

1 calls:

50.0ms

(/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))

Compiler

Compiled 1253 to 1006 computations (19.7% saved)

simplify105.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

347×	`times-frac_binary64`
331×	`associate-/l*_binary64`
323×	`associate-/r*_binary64`
313×	`div-sub_binary64`
271×	`distribute-rgt-in_binary64`
225×	`distribute-lft-in_binary64`
207×	`sub-neg_binary64`
164×	`cancel-sign-sub-inv_binary64`
156×	`associate-/r/_binary64`
142×	`distribute-neg-in_binary64`
111×	`+-commutative_binary64`
99×	`associate-/l/_binary64`
93×	`associate-+r+_binary64`
78×	`associate-+l+_binary64`
68×	`neg-sub0_binary64`
67×	`neg-mul-1_binary64`
65×	`associate--l+_binary64`
62×	`associate--r+_binary64`
56×	`distribute-neg-frac_binary64`
46×	`*-commutative_binary64`
40×	`unsub-neg_binary64`
38×	`distribute-rgt-neg-in_binary64`
34×	`distribute-lft-neg-in_binary64`
33×	`distribute-rgt-out_binary64`
32×	`sqr-pow_binary64`
28×	`associate-*r/_binary64`
25×	`associate-*l/_binary64`
22×	`unswap-sqr_binary64` `distribute-lft-neg-out_binary64`
20×	`cube-prod_binary64`
15×	`distribute-rgt-neg-out_binary64`
14×	`associate-r_binary64`
10×	`cube-div_binary64`
9×	`unpow3_binary64` `cube-unmult_binary64`
8×	`-rgt-identity_binary64` `associate-l*_binary64`
7×	`/-rgt-identity_binary64` `distribute-rgt1-in_binary64`
5×	`cube-mult_binary64` `distribute-rgt-out--_binary64`
4×	`log-div_binary64` `log-prod_binary64` `unpow2_binary64` `unpow1/2_binary64` `pow-plus_binary64` `unpow1_binary64` `rem-sqrt-square_binary64`
3×	`sqr-neg_binary64` `difference-of-squares_binary64` `associate--r-_binary64`
2×	`exp-diff_binary64` `cube-neg_binary64` `fabs-mul_binary64` `remove-double-neg_binary64` `distribute-lft-out_binary64`
1×	`exp-prod_binary64` `exp-sum_binary64` `1-exp_binary64` `mul-1-neg_binary64` `*-lft-identity_binary64` `sub0-neg_binary64` `distribute-lft1-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` `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` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-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` `fabs-div_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `rem-square-sqrt_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` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `swap-sqr_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-lft-out--_binary64` `count-2_binary64` `associate--l-_binary64` `associate-+l-_binary64` `associate-+r-_binary64`

Counts

80 → 73

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	210	2261
1	579	2199
2	1817	2094
3	4802	2094
4	5381	2094

prune47.0ms (1.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	71	2	73
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	71	3	74

Error

Counts

74 → 3

Compiler

Compiled 1091 to 523 computations (52.1% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 (cbrt.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 y x)))) (cbrt.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 y x)))))
0.2b	(cbrt.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 y x))))
0.2b	(cbrt.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 y x))))
0.2b	(cbrt.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 y x))))

rewrite374.0ms (9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

651×	`*-un-lft-identity_binary64`
372×	`cbrt-prod_binary64`
324×	`times-frac_binary64`
318×	`add-sqr-sqrt_binary64`
212×	`distribute-lft-out--_binary64`
108×	`add-cube-cbrt_binary64`
93×	`difference-of-squares_binary64` `swap-sqr_binary64`
67×	`distribute-lft-out_binary64`
39×	`associate-l_binary64` `associate-r_binary64`
14×	`associate-/r/_binary64`
11×	`pow1_binary64`
9×	`pow1/3_binary64` `unswap-sqr_binary64`
7×	`cbrt-div_binary64` `div-inv_binary64` `flip3--_binary64` `flip--_binary64`
6×	`add-exp-log_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64`
1×	`pow2_binary64` `pow-plus_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `frac-times_binary64` `associate-l/_binary64` `associate-r/_binary64` `*-commutative_binary64`

Counts

4 → 336

Calls

4 calls:

54.0ms	(*.f64 (cbrt.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 y x)))) (cbrt.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 y x)))))
9.0ms	(cbrt.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 y x))))
9.0ms	(cbrt.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 y x))))
9.0ms	(cbrt.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 y x))))

Compiler

Compiled 9171 to 4187 computations (54.3% saved)

series673.0ms (16.3%)

Error

Counts

4 → 71

Calls

4 calls:

251.0ms	(*.f64 (cbrt.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 y x)))) (cbrt.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 y x)))))
111.0ms	(cbrt.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 y x))))
110.0ms	(cbrt.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 y x))))
110.0ms	(cbrt.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 y x))))

Compiler

Compiled 9851 to 7469 computations (24.2% saved)

simplify392.0ms (9.5%)

Algorithm

1×	egg-herbie

Rules

320×	`sub-neg_binary64`
305×	`associate-r_binary64`
240×	`associate-l_binary64` `*-commutative_binary64`
223×	`+-commutative_binary64`
207×	`associate-+r+_binary64`
179×	`associate-/r*_binary64`
178×	`associate-+l+_binary64`
169×	`times-frac_binary64`
135×	`associate--l+_binary64`
133×	`associate-/l*_binary64`
103×	`neg-sub0_binary64`
100×	`neg-mul-1_binary64`
95×	`associate--r+_binary64`
93×	`sqr-pow_binary64`
83×	`associate-*r/_binary64`
72×	`cancel-sign-sub-inv_binary64`
71×	`unsub-neg_binary64`
58×	`associate-*l/_binary64`
39×	`distribute-neg-in_binary64`
27×	`unpow1/3_binary64` `div-sub_binary64`
25×	`associate-/r/_binary64`
19×	`associate-/l/_binary64`
18×	`distribute-rgt-in_binary64` `distribute-lft-in_binary64`
16×	`unswap-sqr_binary64`
15×	`cube-unmult_binary64` `distribute-rgt-neg-in_binary64`
14×	`distribute-lft-neg-in_binary64` `distribute-rgt-out_binary64`
12×	`log-prod_binary64` `exp-prod_binary64`
9×	`cube-prod_binary64`
7×	`fabs-mul_binary64`
5×	`unpow2_binary64` `unpow1/2_binary64` `pow-plus_binary64` `unpow1_binary64` `rem-sqrt-square_binary64` `distribute-neg-frac_binary64`
3×	`unpow3_binary64` `cube-mult_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `distribute-frac-neg_binary64`
2×	`rem-3cbrt-lft_binary64` `swap-sqr_binary64` `distribute-rgt-out--_binary64`
1×	`log-pow_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-rft_binary64` `fabs-sqr_binary64` `rem-square-sqrt_binary64` `*-rgt-identity_binary64` `pow-sqr_binary64` `distribute-lft-neg-out_binary64` `distribute-lft-out_binary64` `count-2_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-rec_binary64` `log-div_binary64` `pow-base-0_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-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-div_binary64` `cube-neg_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `fabs-div_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `sqr-neg_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` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `distribute-neg-out_binary64` `distribute-rgt-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate-+l-_binary64` `associate-+r-_binary64`

Counts

407 → 265

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	574	16962
1	1408	16720
2	4695	15926
3	5148	15926

prune161.0ms (3.9%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	265	0	265
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	265	3	268

Error

Counts

268 → 3

Compiler

Compiled 6079 to 3211 computations (47.2% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (-.f64 x y) (-.f64 2 (+.f64 y x)))
0.1b	(pow.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 y x))) 3)
6.5b	(cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 y x))) 3))

rewrite182.0ms (4.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

258×	`*-un-lft-identity_binary64`
180×	`add-sqr-sqrt_binary64`
150×	`times-frac_binary64`
83×	`distribute-lft-out--_binary64`
78×	`cbrt-prod_binary64`
72×	`unpow-prod-down_binary64` `cube-prod_binary64`
66×	`add-cube-cbrt_binary64`
57×	`difference-of-squares_binary64`
26×	`distribute-lft-out_binary64`
10×	`associate-/r/_binary64`
8×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`flip3--_binary64` `flip--_binary64` `associate-/r*_binary64`
5×	`div-inv_binary64` `associate-/l*_binary64`
4×	`pow1_binary64`
3×	`add-log-exp_binary64` `pow-unpow_binary64`
2×	`cube-div_binary64` `unpow3_binary64` `cube-mult_binary64` `sqr-pow_binary64` `div-exp_binary64` `pow-exp_binary64` `rem-cube-cbrt_binary64` `cbrt-undiv_binary64` `associate-/l/_binary64`
1×	`pow1/3_binary64` `cbrt-div_binary64` `rem-cbrt-cube_binary64` `pow-pow_binary64` `pow-to-exp_binary64` `frac-2neg_binary64` `div-sub_binary64` `clear-num_binary64`

Counts

3 → 238

Calls

3 calls:

15.0ms	(cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 y x))) 3))
13.0ms	(pow.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 y x))) 3)
10.0ms	(/.f64 (-.f64 x y) (-.f64 2 (+.f64 y x)))

Compiler

Compiled 2928 to 1495 computations (48.9% saved)

series287.0ms (6.9%)

Error

Counts

3 → 68

Calls

3 calls:

94.0ms	(pow.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 y x))) 3)
67.0ms	(cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 y x))) 3))
53.0ms	(/.f64 (-.f64 x y) (-.f64 2 (+.f64 y x)))

Compiler

Compiled 4836 to 3949 computations (18.3% saved)

simplify256.0ms (6.2%)

Algorithm

1×	egg-herbie

Rules

282×	`times-frac_binary64`
272×	`associate-/l*_binary64`
240×	`associate-/r*_binary64`
193×	`associate-*r/_binary64`
179×	`associate-*l/_binary64`
170×	`associate--l+_binary64`
128×	`associate-r_binary64`
125×	`sub-neg_binary64`
122×	`sqr-pow_binary64`
120×	`+-commutative_binary64`
87×	`*-commutative_binary64`
86×	`log-prod_binary64`
77×	`associate-+r+_binary64`
72×	`associate-l_binary64`
67×	`log-div_binary64`
65×	`distribute-neg-in_binary64`
56×	`cancel-sign-sub-inv_binary64`
55×	`distribute-rgt-in_binary64`
54×	`unpow3_binary64` `cube-mult_binary64`
52×	`distribute-lft-in_binary64`
42×	`cube-div_binary64`
41×	`associate-/r/_binary64`
40×	`rem-cbrt-cube_binary64`
39×	`neg-sub0_binary64` `associate-/l/_binary64`
37×	`neg-mul-1_binary64`
31×	`div-sub_binary64`
24×	`associate--r+_binary64`
20×	`unswap-sqr_binary64`
14×	`log-pow_binary64`
10×	`distribute-rgt-neg-in_binary64`
9×	`distribute-lft-neg-in_binary64`
8×	`exp-prod_binary64` `distribute-rgt-out_binary64`
6×	`cube-prod_binary64` `/-rgt-identity_binary64` `swap-sqr_binary64` `distribute-neg-frac_binary64`
5×	`unpow1_binary64`
4×	`unpow2_binary64` `pow-sqr_binary64`
3×	`rem-cube-cbrt_binary64` `rem-sqrt-square_binary64` `mul-1-neg_binary64` `distribute-rgt-out--_binary64` `associate--r-_binary64`
2×	`rem-square-sqrt_binary64`
1×	`unpow1/2_binary64` `pow-plus_binary64` `exp-diff_binary64` `1-exp_binary64` `cube-unmult_binary64` `rem-3cbrt-lft_binary64` `distribute-lft-neg-out_binary64` `distribute-lft-out_binary64` `count-2_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-rec_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-neg_binary64` `exp-sum_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `fabs-div_binary64` `fabs-mul_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `unsub-neg_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` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `associate--l-_binary64` `associate-+l-_binary64` `associate-+r-_binary64` `associate-+l+_binary64`

Counts

306 → 233

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	524	10023
1	1587	9565
2	4864	9565
3	5055	9565

prune105.0ms (2.5%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	233	0	233
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	233	3	236

Error

Counts

236 → 3

Compiler

Compiled 3123 to 1751 computations (43.9% saved)

regimes310.0ms (7.5%)

Accuracy

Total 0.0b remaining (30.9%)

Threshold costs 0.0b (30.9%)

Compiler

Compiled 4555 to 3211 computations (29.5% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

6×	`+-commutative_binary64`
5×	`sub-neg_binary64`
3×	`neg-mul-1_binary64` `neg-sub0_binary64` `*-commutative_binary64`
2×	`unsub-neg_binary64` `distribute-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` `fabs-div_binary64` `fabs-mul_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `sqr-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-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64` `distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	13	13
2	24	13
3	32	13
4	36	13
5	37	13
6	37	13

end1.0ms (0%)

Compiler: Compiled 9 to 7 computations (22.2% saved)

sample545.0ms (13.2%)

Algorithm

1×

intervals

Results

209.0ms	7999×	body	128	valid
0.0ms	1×	body	1024	valid

Compiler

Compiled 90 to 71 computations (21.1% saved)

Details

analyze301.0ms (7.3%)

sample15.0ms (0.4%)

simplify222.0ms (5.4%)

prune1.0ms (0%)

localize5.0ms (0.1%)

rewrite56.0ms (1.3%)

series72.0ms (1.7%)

simplify105.0ms (2.6%)

prune47.0ms (1.1%)

localize10.0ms (0.2%)

rewrite374.0ms (9%)

series673.0ms (16.3%)

simplify392.0ms (9.5%)

prune161.0ms (3.9%)

localize8.0ms (0.2%)

rewrite182.0ms (4.4%)

series287.0ms (6.9%)

simplify256.0ms (6.2%)

prune105.0ms (2.5%)

regimes310.0ms (7.5%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end1.0ms (0%)

sample545.0ms (13.2%)

Profiling