Details

analyze121.0ms (7.9%)

Algorithm

1×	search
2×	egg-herbie

Rules

7×	`+-commutative_binary64`
5×	`associate-l_binary64` `*-commutative_binary64`
4×	`*-lft-identity_binary64` `distribute-rgt1-in_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64`
3×	`associate-r_binary64` `associate-+l+_binary64`
2×	`*-rgt-identity_binary64` `distribute-rgt-out_binary64` `associate-+r+_binary64`
1×	`1-exp_binary64` `swap-x-y`
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` `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` `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-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `count-2_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`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	20
1	17	20
2	23	20
3	29	20
4	41	20
5	33	20
6	46	20
7	46	20
8	47	20
9	45	20
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
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
40.6%	59.3%	0.1%	6
53.1%	45.3%	1.7%	7
62.4%	32.8%	4.8%	8
69.5%	22.6%	7.9%	9
74.5%	16.4%	9.1%	10
78.2%	11.1%	10.6%	11
80.9%	8.2%	10.9%	12
82.8%	5.5%	11.7%	13
84.1%	4.1%	11.8%	14

Symmetry

(sort x y)

Compiler

Compiled 8 to 6 computations (25% saved)

sample23.0ms (1.5%)

Algorithm

1×

intervals

Results

5.0ms	256×	body	128	valid
0.0ms	3×	body	128	invalid

Compiler

Compiled 15 to 13 computations (13.3% saved)

simplify10.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

6×	`distribute-rgt-in_binary64` `*-commutative_binary64` `+-commutative_binary64`
4×	`distribute-lft-in_binary64` `associate-l_binary64` `associate-r_binary64`
3×	`-rgt-identity_binary64` `-lft-identity_binary64` `distribute-rgt1-in_binary64` `distribute-rgt-out_binary64` `associate-+r+_binary64`
2×	`associate-+l+_binary64`
1×	`1-exp_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` `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` `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` `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-rgt-out--_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `count-2_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`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	10
1	11	10
2	20	10
3	26	10
4	34	10
5	36	10
6	42	10
7	45	10
8	47	10
9	45	10

prune2.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.0b

Counts

2 → 1

Compiler

Compiled 14 to 10 computations (28.6% saved)

localize4.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

rewrite28.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

9×	`add-log-exp_binary64`
4×	`sum-log_binary64` `*-un-lft-identity_binary64`
2×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `flip3-+_binary64` `flip-+_binary64` `+-commutative_binary64`
1×	`distribute-lft-out_binary64` `associate-+l+_binary64`

Counts

2 → 25

Calls

2 calls:

6.0ms	(+.f64 (+.f64 (*.f64 x y) x) y)
4.0ms	(+.f64 (*.f64 x y) x)

Compiler

Compiled 354 to 88 computations (75.1% saved)

series46.0ms (3%)

Error

Counts

2 → 21

Calls

2 calls:

19.0ms	(+.f64 (+.f64 (*.f64 x y) x) y)
17.0ms	(+.f64 (*.f64 x y) x)

Compiler

Compiled 258 to 183 computations (29.1% saved)

simplify62.0ms (4%)

Algorithm

1×	egg-herbie

Rules

577×	`associate--r+_binary64`
429×	`distribute-rgt-out_binary64`
416×	`associate--l+_binary64`
347×	`sub-neg_binary64`
315×	`distribute-rgt-in_binary64`
291×	`distribute-lft-in_binary64`
260×	`*-commutative_binary64`
240×	`+-commutative_binary64`
175×	`cancel-sign-sub-inv_binary64`
164×	`distribute-rgt-out--_binary64`
147×	`associate-l_binary64`
133×	`distribute-rgt-neg-in_binary64`
125×	`associate-r_binary64`
117×	`associate--r-_binary64`
113×	`unswap-sqr_binary64`
104×	`distribute-neg-in_binary64`
102×	`distribute-lft-neg-in_binary64`
98×	`distribute-lft-out_binary64`
95×	`associate-+l+_binary64`
84×	`associate-+l-_binary64`
78×	`unsub-neg_binary64`
71×	`distribute-lft-out--_binary64`
68×	`associate-+r+_binary64`
65×	`associate-+r-_binary64`
58×	`distribute-rgt1-in_binary64`
56×	`sqr-pow_binary64`
55×	`associate--l-_binary64`
44×	`neg-mul-1_binary64`
40×	`neg-sub0_binary64` `distribute-lft-neg-out_binary64`
37×	`distribute-lft1-in_binary64`
36×	`sub0-neg_binary64`
35×	`exp-sum_binary64`
24×	`+-rgt-identity_binary64`
17×	`distribute-rgt-neg-out_binary64`
14×	`exp-prod_binary64` `swap-sqr_binary64` `cancel-sign-sub_binary64`
12×	`pow-plus_binary64` `pow-sqr_binary64`
11×	`cube-prod_binary64`
9×	`cube-unmult_binary64`
8×	`difference-of-squares_binary64` `associate-/l/_binary64`
7×	`log-prod_binary64`
6×	`remove-double-neg_binary64` `associate-/l*_binary64`
5×	`unpow3_binary64` `cube-mult_binary64` `associate-*r/_binary64`
4×	`prod-exp_binary64` `exp-diff_binary64` `distribute-neg-out_binary64`
3×	`*-lft-identity_binary64`
2×	`-rgt-identity_binary64` `difference-of-sqr--1_binary64` `associate-/r/_binary64` `associate-/r_binary64`
1×	`1-exp_binary64` `exp-1-e_binary64` `+-lft-identity_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` `log-pow_binary64` `log-rec_binary64` `log-div_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `unpow2_binary64` `unpow1/2_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` `div-exp_binary64` `rec-exp_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-div_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `times-frac_binary64` `div-sub_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `--rgt-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` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `count-2_binary64`

Counts

46 → 32

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	57	520
1	160	493
2	462	487
3	1550	484
4	2627	484
5	4983	484

prune22.0ms (1.4%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	28	4	32
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	29	4	33

Error

Counts

33 → 4

Compiler

Compiled 337 to 215 computations (36.2% saved)

localize4.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

rewrite38.0ms (2.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

6×	`add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
4×	`pow1_binary64` `add-exp-log_binary64` `add-log-exp_binary64` `add-cbrt-cube_binary64` `add-cube-cbrt_binary64` `associate-l_binary64`
3×	`associate-r_binary64`
2×	`flip3-+_binary64` `associate-*l/_binary64` `flip-+_binary64`
1×	`pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `distribute-lft-out_binary64` `*-commutative_binary64` `sum-log_binary64` `+-commutative_binary64`

Counts

2 → 32

Calls

2 calls:

6.0ms	(*.f64 (+.f64 y 1) x)
3.0ms	(+.f64 y (*.f64 (+.f64 y 1) x))

Compiler

Compiled 428 to 278 computations (35% saved)

series43.0ms (2.8%)

Error

Counts

2 → 21

Calls

2 calls:

20.0ms	(+.f64 y (*.f64 (+.f64 y 1) x))
15.0ms	(*.f64 (+.f64 y 1) x)

Compiler

Compiled 258 to 183 computations (29.1% saved)

simplify103.0ms (6.7%)

Algorithm

1×	egg-herbie

Rules

494×	`associate--r+_binary64`
457×	`unsub-neg_binary64`
331×	`associate--l+_binary64`
319×	`cancel-sign-sub-inv_binary64`
303×	`*-commutative_binary64`
263×	`distribute-rgt-in_binary64`
248×	`distribute-lft-in_binary64`
237×	`+-commutative_binary64`
224×	`sub-neg_binary64`
222×	`associate-l_binary64`
209×	`associate-+l-_binary64`
201×	`distribute-rgt-out_binary64`
162×	`associate-r_binary64`
158×	`unswap-sqr_binary64`
134×	`associate-+r-_binary64`
128×	`neg-mul-1_binary64`
125×	`distribute-neg-in_binary64`
115×	`distribute-rgt-out--_binary64`
97×	`distribute-rgt-neg-in_binary64`
92×	`sqr-pow_binary64`
87×	`neg-sub0_binary64` `associate--r-_binary64`
77×	`distribute-lft-neg-in_binary64`
70×	`distribute-lft-out_binary64`
65×	`sub0-neg_binary64`
49×	`exp-sum_binary64` `associate--l-_binary64`
46×	`exp-prod_binary64`
44×	`div-sub_binary64`
34×	`+-rgt-identity_binary64`
33×	`associate-+l+_binary64`
31×	`*-lft-identity_binary64`
30×	`*-rgt-identity_binary64`
28×	`pow-sqr_binary64` `associate-+r+_binary64`
23×	`distribute-lft-neg-out_binary64`
22×	`cube-prod_binary64` `--rgt-identity_binary64`
21×	`rem-sqrt-square_binary64`
20×	`exp-diff_binary64`
17×	`distribute-rgt-neg-out_binary64`
16×	`distribute-rgt1-in_binary64`
15×	`log-prod_binary64` `distribute-lft1-in_binary64`
14×	`remove-double-neg_binary64`
11×	`pow-plus_binary64`
9×	`cube-unmult_binary64` `associate-/l*_binary64`
8×	`distribute-neg-out_binary64` `distribute-lft-out--_binary64`
7×	`unpow3_binary64` `unpow1/2_binary64` `difference-of-squares_binary64` `associate-/l/_binary64`
5×	`cube-neg_binary64`
4×	`sqr-neg_binary64` `associate-*r/_binary64`
3×	`cube-mult_binary64`
2×	`unpow2_binary64` `+-lft-identity_binary64` `swap-sqr_binary64` `cancel-sign-sub_binary64` `associate-/r/_binary64` `associate-/r*_binary64`
1×	`prod-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `/-rgt-identity_binary64` `+-inverses_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `count-2_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` `log-pow_binary64` `log-rec_binary64` `log-div_binary64` `pow-base-0_binary64` `unpow1/3_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` `div-exp_binary64` `rec-exp_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-div_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `rem-square-sqrt_binary64` `times-frac_binary64` `mul-1-neg_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `*-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64`

Counts

53 → 38

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	67	548
1	173	527
2	459	527
3	1430	527
4	1940	527
5	4465	527
6	4712	527
7	4988	527

prune22.0ms (1.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	36	2	38
Fresh	2	1	3
Picked	0	1	1
Done	0	0	0
Total	38	4	42

Error

Counts

42 → 4

Compiler

Compiled 339 to 135 computations (60.2% saved)

localize4.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

rewrite27.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

9×	`add-log-exp_binary64`
5×	`*-un-lft-identity_binary64`
4×	`sum-log_binary64`
2×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `flip3-+_binary64` `flip-+_binary64` `+-commutative_binary64`
1×	`distribute-rgt1-in_binary64` `distribute-rgt-out_binary64` `distribute-lft-out_binary64` `associate-+r+_binary64`

Counts

2 → 27

Calls

2 calls:

5.0ms	(+.f64 x (+.f64 y (*.f64 x y)))
3.0ms	(+.f64 y (*.f64 x y))

Compiler

Compiled 368 to 96 computations (73.9% saved)

series39.0ms (2.6%)

Error

Counts

2 → 21

Calls

2 calls:

21.0ms	(+.f64 x (+.f64 y (*.f64 x y)))
15.0ms	(+.f64 y (*.f64 x y))

Compiler

Compiled 244 to 180 computations (26.2% saved)

simplify107.0ms (7%)

Algorithm

1×	egg-herbie

Rules

409×	`sub-neg_binary64`
384×	`unsub-neg_binary64`
349×	`distribute-rgt-in_binary64`
309×	`distribute-lft-in_binary64`
299×	`*-commutative_binary64`
291×	`distribute-rgt-out_binary64`
257×	`distribute-rgt-out--_binary64`
249×	`+-commutative_binary64`
235×	`associate-l_binary64`
188×	`associate-r_binary64`
168×	`neg-mul-1_binary64`
154×	`associate--r-_binary64`
138×	`neg-sub0_binary64`
134×	`distribute-rgt-neg-in_binary64`
128×	`distribute-lft-neg-in_binary64`
127×	`unswap-sqr_binary64`
121×	`associate--l+_binary64`
120×	`distribute-neg-in_binary64`
113×	`cancel-sign-sub-inv_binary64`
102×	`associate-+l-_binary64`
87×	`associate--r+_binary64`
84×	`distribute-lft-out--_binary64`
77×	`associate-+r-_binary64`
74×	`associate-+l+_binary64`
63×	`distribute-lft-out_binary64`
62×	`associate-+r+_binary64`
61×	`distribute-rgt1-in_binary64`
59×	`sqr-pow_binary64`
55×	`sub0-neg_binary64`
46×	`cube-prod_binary64`
45×	`exp-prod_binary64`
40×	`exp-sum_binary64`
39×	`distribute-lft-neg-out_binary64`
35×	`+-rgt-identity_binary64`
33×	`distribute-lft1-in_binary64`
29×	`distribute-rgt-neg-out_binary64`
27×	`cancel-sign-sub_binary64`
22×	`exp-diff_binary64`
20×	`*-lft-identity_binary64`
19×	`*-rgt-identity_binary64`
18×	`log-prod_binary64`
16×	`unpow3_binary64` `pow-plus_binary64`
15×	`swap-sqr_binary64`
13×	`cube-unmult_binary64` `pow-sqr_binary64`
12×	`div-sub_binary64` `distribute-neg-out_binary64`
8×	`cube-mult_binary64` `difference-of-squares_binary64` `associate-/l/_binary64` `associate--l-_binary64`
7×	`associate-/l*_binary64`
6×	`remove-double-neg_binary64`
5×	`associate-*r/_binary64`
4×	`prod-exp_binary64`
3×	`cube-neg_binary64`
2×	`unpow1/2_binary64` `associate-/r/_binary64` `associate-/r*_binary64`
1×	`1-exp_binary64` `exp-1-e_binary64` `sqr-neg_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `difference-of-sqr-1_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` `log-pow_binary64` `log-rec_binary64` `log-div_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `unpow2_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` `div-exp_binary64` `rec-exp_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-div_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `times-frac_binary64` `mul-1-neg_binary64` `/-rgt-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` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `count-2_binary64`

Counts

48 → 30

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	57	519
1	163	495
2	542	492
3	1898	492
4	3110	492
5	4493	492
6	4975	492
7	4982	492

prune18.0ms (1.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	29	1	30
Fresh	2	0	2
Picked	1	0	1
Done	0	1	1
Total	32	2	34

Error

Counts

34 → 2

Compiler

Compiled 263 to 164 computations (37.6% saved)

localize4.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

rewrite14.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

3×	`add-log-exp_binary64`
2×	`associate-+r+_binary64`
1×	`sum-log_binary64` `pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `flip3-+_binary64` `*-un-lft-identity_binary64` `flip-+_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64` `+-commutative_binary64`

Counts

1 → 13

Calls

1 calls:

3.0ms

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

Compiler

Compiled 196 to 126 computations (35.7% saved)

series21.0ms (1.4%)

Error

Counts

1 → 12

Calls

1 calls:

18.0ms

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

Compiler

Compiled 132 to 97 computations (26.5% saved)

simplify94.0ms (6.1%)

Algorithm

1×	egg-herbie

Rules

460×	`associate--r+_binary64`
395×	`distribute-rgt-in_binary64`
375×	`distribute-lft-in_binary64`
362×	`associate-+l-_binary64`
342×	`associate--l+_binary64`
302×	`distribute-rgt-out_binary64`
259×	`sub-neg_binary64`
226×	`*-commutative_binary64`
217×	`associate-+r-_binary64`
179×	`associate-l_binary64`
178×	`+-commutative_binary64`
167×	`distribute-rgt-out--_binary64`
143×	`associate-r_binary64`
126×	`distribute-rgt-neg-in_binary64`
107×	`distribute-lft-neg-in_binary64`
106×	`neg-mul-1_binary64`
102×	`distribute-neg-in_binary64` `associate--l-_binary64`
98×	`unsub-neg_binary64`
97×	`neg-sub0_binary64`
88×	`cancel-sign-sub-inv_binary64`
84×	`associate--r-_binary64`
62×	`associate-+l+_binary64`
60×	`unswap-sqr_binary64`
55×	`sqr-pow_binary64`
50×	`associate-+r+_binary64`
46×	`exp-prod_binary64`
42×	`distribute-lft-out_binary64`
39×	`exp-sum_binary64`
37×	`distribute-lft-out--_binary64`
30×	`sub0-neg_binary64`
29×	`distribute-lft-neg-out_binary64`
25×	`distribute-rgt-neg-out_binary64`
21×	`div-sub_binary64`
19×	`+-rgt-identity_binary64` `cancel-sign-sub_binary64`
18×	`-rgt-identity_binary64` `-lft-identity_binary64` `distribute-rgt1-in_binary64`
17×	`swap-sqr_binary64`
16×	`exp-diff_binary64` `distribute-lft1-in_binary64`
15×	`cube-prod_binary64`
14×	`distribute-neg-out_binary64`
12×	`pow-sqr_binary64`
10×	`unpow3_binary64`
8×	`pow-plus_binary64` `associate-/l*_binary64`
7×	`cube-unmult_binary64` `associate-/l/_binary64`
6×	`unpow1/2_binary64`
4×	`cube-mult_binary64` `remove-double-neg_binary64` `difference-of-squares_binary64` `associate-*r/_binary64`
2×	`log-prod_binary64` `cube-neg_binary64` `sqr-neg_binary64` `rem-sqrt-square_binary64` `--rgt-identity_binary64` `associate-/r/_binary64` `associate-/r*_binary64`
1×	`prod-exp_binary64` `1-exp_binary64` `exp-1-e_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` `log-pow_binary64` `log-rec_binary64` `log-div_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `unpow2_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` `div-exp_binary64` `rec-exp_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-div_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `rem-square-sqrt_binary64` `times-frac_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `count-2_binary64`

Counts

25 → 19

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	39	309
1	112	288
2	401	288
3	1521	288
4	2204	288
5	4787	288
6	4995	288
7	4956	288

prune7.0ms (0.4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	19	0	19
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	19	2	21

Error

Counts

21 → 2

Compiler

Compiled 149 to 39 computations (73.8% saved)

regimes181.0ms (11.8%)

Accuracy

Total 0.0b remaining (85.2%)

Threshold costs 0.0b (85.2%)

Compiler

Compiled 1367 to 997 computations (27.1% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative_binary64`
1×	`1-exp_binary64` `*-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` `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`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	12	10
2	11	10

end8.0ms (0.6%)

Remove: (sort x y)
Compiler: Compiled 21 to 18 computations (14.3% saved)

sample477.0ms (31.1%)

Algorithm

1×

intervals

Results

175.0ms	7997×	body	128	valid
2.0ms	81×	body	128	invalid
0.0ms	2×	body	1024	valid
0.0ms	1×	body	256	valid

Compiler

Compiled 32 to 35 computations (-9.4% saved)

Details

analyze121.0ms (7.9%)

sample23.0ms (1.5%)

simplify10.0ms (0.7%)

prune2.0ms (0.1%)

localize4.0ms (0.3%)

rewrite28.0ms (1.8%)

series46.0ms (3%)

simplify62.0ms (4%)

prune22.0ms (1.4%)

localize4.0ms (0.3%)

rewrite38.0ms (2.5%)

series43.0ms (2.8%)

simplify103.0ms (6.7%)

prune22.0ms (1.4%)

localize4.0ms (0.3%)

rewrite27.0ms (1.8%)

series39.0ms (2.6%)

simplify107.0ms (7%)

prune18.0ms (1.2%)

localize4.0ms (0.3%)

rewrite14.0ms (0.9%)

series21.0ms (1.4%)

simplify94.0ms (6.1%)

prune7.0ms (0.4%)

regimes181.0ms (11.8%)

bsearch0.0ms (0%)

simplify3.0ms (0.2%)

end8.0ms (0.6%)

sample477.0ms (31.1%)

Profiling