Details

analyze93.0ms (6.9%)

Algorithm

1×	search
2×	egg-herbie

Rules

23×	`*-commutative_binary64`
10×	`distribute-rgt-out_binary64`
8×	`distribute-rgt-in_binary64` `associate-l_binary64` `associate-r_binary64`
6×	`distribute-lft-out_binary64`
4×	`distribute-lft-in_binary64`
3×	`+-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-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` `associate-+l+_binary64` `associate-+r+_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	20
1	30	20
2	49	20
3	61	20
4	57	20
5	56	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
37.5%	50%	12.6%	6
43.7%	40.6%	15.7%	7
56.2%	23.4%	20.4%	8
57.8%	21.1%	21.2%	9
64%	12.5%	23.5%	10
64.8%	10.7%	24.5%	11
67.9%	6.4%	25.7%	12
68.3%	5.4%	26.3%	13
69.9%	3.3%	26.9%	14

Compiler

Compiled 10 to 8 computations (20% saved)

sample15.0ms (1.1%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	128	valid
0.0ms	8×	body	128	invalid

Compiler

Compiled 19 to 17 computations (10.5% saved)

simplify9.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

16×	`*-commutative_binary64`
6×	`distribute-rgt-out_binary64`
5×	`associate-l_binary64` `associate-r_binary64`
4×	`distribute-rgt-in_binary64`
3×	`distribute-lft-out_binary64`
2×	`distribute-lft-in_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` `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-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` `associate-+l+_binary64` `associate-+r+_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	19	10
2	34	10
3	41	10
4	39	10
5	39	10

prune3.0ms (0.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.0b

Counts

2 → 2

Compiler

Compiled 23 to 19 computations (17.4% saved)

localize9.0ms (0.7%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 x (+.f64 x y))
0.0b	(.f64 2 (.f64 x (+.f64 x y)))

rewrite41.0ms (3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

9×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
6×	`associate-r/_binary64` `associate-l*_binary64`
5×	`add-cube-cbrt_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64` `associate-r_binary64`
4×	`pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64`
2×	`add-log-exp_binary64` `flip3-+_binary64` `flip-+_binary64` `*-commutative_binary64`
1×	`unswap-sqr_binary64` `distribute-lft-out_binary64`

Counts

2 → 47

Calls

2 calls:

7.0ms	(.f64 2 (.f64 x (+.f64 x y)))
6.0ms	(*.f64 x (+.f64 x y))

Compiler

Compiled 561 to 225 computations (59.9% saved)

series49.0ms (3.6%)

Error

0.0b

Counts

2 → 24

Calls

2 calls:

25.0ms	(.f64 2 (.f64 x (+.f64 x y)))
19.0ms	(*.f64 x (+.f64 x y))

Compiler

Compiled 330 to 303 computations (8.2% saved)

simplify127.0ms (9.5%)

Algorithm

1×	egg-herbie

Rules

643×	`associate-+r+_binary64`
494×	`distribute-rgt-in_binary64`
493×	`distribute-lft-in_binary64`
408×	`unswap-sqr_binary64`
237×	`*-commutative_binary64`
216×	`sqr-pow_binary64`
165×	`+-commutative_binary64`
114×	`distribute-rgt-out_binary64`
110×	`associate-l_binary64`
108×	`associate-r_binary64`
98×	`log-div_binary64`
90×	`pow-sqr_binary64`
83×	`rem-sqrt-square_binary64`
81×	`exp-prod_binary64`
73×	`log-prod_binary64`
67×	`associate-/l*_binary64`
49×	`swap-sqr_binary64`
46×	`distribute-lft-out_binary64`
42×	`associate-+l+_binary64`
39×	`sub-neg_binary64`
38×	`neg-mul-1_binary64`
36×	`neg-sub0_binary64`
35×	`cube-prod_binary64`
32×	`*-rgt-identity_binary64`
28×	`*-lft-identity_binary64`
26×	`times-frac_binary64`
25×	`unpow3_binary64` `distribute-rgt-neg-in_binary64`
24×	`associate-/l/_binary64`
21×	`associate-*r/_binary64`
19×	`unsub-neg_binary64`
18×	`exp-sum_binary64` `distribute-lft-neg-in_binary64` `associate-/r/_binary64`
14×	`distribute-lft-neg-out_binary64`
13×	`cube-div_binary64` `associate-/r*_binary64`
12×	`unpow1/2_binary64` `distribute-neg-in_binary64` `distribute-rgt-neg-out_binary64`
10×	`log-rec_binary64` `prod-exp_binary64`
9×	`cancel-sign-sub-inv_binary64` `distribute-rgt1-in_binary64`
7×	`pow-plus_binary64` `exp-sqrt_binary64` `sub0-neg_binary64` `associate-+l-_binary64`
6×	`log-pow_binary64` `exp-lft-sqr_binary64`
5×	`cube-unmult_binary64` `/-rgt-identity_binary64` `associate--r+_binary64` `associate-+r-_binary64`
4×	`cube-mult_binary64` `+-rgt-identity_binary64`
3×	`difference-of-squares_binary64` `distribute-rgt-out--_binary64` `count-2_binary64`
2×	`unpow2_binary64` `--rgt-identity_binary64`
1×	`unpow1_binary64` `1-exp_binary64` `exp-1-e_binary64` `remove-double-neg_binary64` `distribute-lft1-in_binary64` `associate-*l/_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-cbrt_binary64` `div-exp_binary64` `rec-exp_binary64` `exp-diff_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` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-square-sqrt_binary64` `div-sub_binary64` `mul-1-neg_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-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-lft-out--_binary64` `associate--r-_binary64` `associate--l-_binary64`

Counts

71 → 47

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	77	765
1	194	681
2	728	681
3	2104	681
4	3445	681
5	4543	681
6	4880	681
7	4952	681
8	4967	681

prune16.0ms (1.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	46	1	47
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	47	2	49

Error

Counts

49 → 2

Compiler

Compiled 275 to 146 computations (46.9% saved)

localize4.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

rewrite31.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

12×	`associate-l_binary64`
11×	`*-un-lft-identity_binary64`
9×	`add-sqr-sqrt_binary64`
7×	`add-cube-cbrt_binary64`
6×	`flip3-+_binary64` `flip-+_binary64`
4×	`frac-times_binary64` `distribute-lft-out_binary64` `associate-r_binary64`
3×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `distribute-rgt-out_binary64`
2×	`associate-l/_binary64` `associate-r/_binary64`
1×	`pow-prod-down_binary64` `prod-exp_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `count-2_binary64` `*-commutative_binary64`

Counts

1 → 38

Calls

1 calls:

10.0ms

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

Compiler

Compiled 526 to 141 computations (73.2% saved)

series26.0ms (1.9%)

Error

Counts

1 → 12

Calls

1 calls:

24.0ms

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

Compiler

Compiled 183 to 169 computations (7.7% saved)

simplify76.0ms (5.7%)

Algorithm

1×	egg-herbie

Rules

509×	`distribute-rgt-in_binary64`
478×	`distribute-lft-in_binary64`
399×	`sub-neg_binary64`
289×	`+-commutative_binary64`
281×	`distribute-rgt-out_binary64`
251×	`*-commutative_binary64`
168×	`exp-sum_binary64`
148×	`count-2_binary64` `associate-+l-_binary64`
138×	`exp-diff_binary64`
129×	`exp-prod_binary64`
117×	`cancel-sign-sub-inv_binary64` `associate-+r-_binary64`
111×	`associate-l_binary64`
107×	`unsub-neg_binary64`
104×	`associate-r_binary64`
92×	`unswap-sqr_binary64`
87×	`associate--r+_binary64`
80×	`associate-+l+_binary64`
78×	`neg-mul-1_binary64`
77×	`associate--l+_binary64`
75×	`neg-sub0_binary64`
73×	`associate-+r+_binary64`
59×	`distribute-lft-out--_binary64`
54×	`div-sub_binary64`
53×	`sqr-pow_binary64`
43×	`swap-sqr_binary64` `associate--r-_binary64`
40×	`*-lft-identity_binary64` `distribute-lft-neg-out_binary64`
38×	`*-rgt-identity_binary64` `associate--l-_binary64`
37×	`times-frac_binary64`
36×	`log-prod_binary64` `cube-prod_binary64` `distribute-rgt-neg-out_binary64`
29×	`distribute-lft-out_binary64`
27×	`distribute-rgt-neg-in_binary64`
24×	`distribute-lft-neg-in_binary64`
20×	`distribute-rgt1-in_binary64`
19×	`mul0-rgt_binary64`
18×	`distribute-rgt-out--_binary64`
17×	`distribute-neg-in_binary64`
16×	`mul0-lft_binary64`
8×	`unpow3_binary64`
7×	`exp-lft-sqr_binary64` `cube-unmult_binary64` `+-rgt-identity_binary64` `pow-sqr_binary64` `distribute-lft1-in_binary64` `associate-/l*_binary64`
6×	`+-lft-identity_binary64`
5×	`unpow1/2_binary64` `cube-mult_binary64` `rem-sqrt-square_binary64`
4×	`pow-plus_binary64` `difference-of-squares_binary64`
3×	`log-pow_binary64` `unpow1_binary64` `sub0-neg_binary64` `+-inverses_binary64`
2×	`sqr-neg_binary64`
1×	`unpow2_binary64` `exp-lft-cube_binary64` `1-exp_binary64` `exp-1-e_binary64` `cube-neg_binary64` `remove-double-neg_binary64` `--rgt-identity_binary64` `distribute-neg-out_binary64` `associate-/l/_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` `log-rec_binary64` `log-div_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-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` `mul-1-neg_binary64` `/-rgt-identity_binary64` `div0_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-neg-frac_binary64` `distribute-frac-neg_binary64` `associate-/r/_binary64` `associate-/r_binary64` `associate-*l/_binary64`

Counts

50 → 36

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	81	709
1	275	574
2	837	574
3	2552	574
4	4049	574
5	5002	574

prune14.0ms (1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

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

Error

Counts

38 → 2

Compiler

Compiled 282 to 126 computations (55.3% saved)

localize6.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (.f64 x x) (.f64 x y))
0.0b	(.f64 2 (+.f64 (.f64 x x) (*.f64 x y)))

rewrite31.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

6×	`add-sqr-sqrt_binary64`
4×	`pow1_binary64` `add-exp-log_binary64` `add-log-exp_binary64` `add-cbrt-cube_binary64` `add-cube-cbrt_binary64` `-un-lft-identity_binary64` `associate-r*_binary64`
3×	`associate-l_binary64`
2×	`flip3-+_binary64` `associate-*r/_binary64` `flip-+_binary64` `distribute-lft-out_binary64`
1×	`pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64` `*-commutative_binary64` `sum-log_binary64` `+-commutative_binary64`

Counts

2 → 35

Calls

2 calls:

6.0ms	(.f64 2 (+.f64 (.f64 x x) (*.f64 x y)))
4.0ms	(+.f64 (.f64 x x) (.f64 x y))

Compiler

Compiled 586 to 178 computations (69.6% saved)

series48.0ms (3.6%)

Error

Counts

2 → 24

Calls

2 calls:

26.0ms	(.f64 2 (+.f64 (.f64 x x) (*.f64 x y)))
19.0ms	(+.f64 (.f64 x x) (.f64 x y))

Compiler

Compiled 330 to 303 computations (8.2% saved)

simplify99.0ms (7.4%)

Algorithm

1×	egg-herbie

Rules

584×	`associate-l_binary64`
462×	`associate-r_binary64`
437×	`distribute-rgt-out_binary64`
406×	`distribute-lft-out_binary64`
216×	`distribute-rgt-in_binary64`
197×	`distribute-lft-in_binary64`
163×	`associate-+l+_binary64`
157×	`associate-+r+_binary64`
148×	`unswap-sqr_binary64`
131×	`*-commutative_binary64`
121×	`cancel-sign-sub-inv_binary64`
87×	`sub-neg_binary64`
72×	`exp-prod_binary64`
71×	`distribute-rgt-neg-in_binary64`
70×	`+-commutative_binary64`
60×	`unsub-neg_binary64`
59×	`distribute-lft-neg-in_binary64`
58×	`neg-mul-1_binary64` `sqr-pow_binary64`
57×	`neg-sub0_binary64`
52×	`cube-prod_binary64`
40×	`log-prod_binary64` `unpow3_binary64`
38×	`swap-sqr_binary64`
35×	`distribute-rgt-out--_binary64`
27×	`distribute-lft-neg-out_binary64`
26×	`distribute-lft-out--_binary64`
23×	`associate-+l-_binary64`
18×	`associate-+r-_binary64`
17×	`distribute-rgt-neg-out_binary64`
16×	`prod-exp_binary64`
14×	`pow-sqr_binary64`
13×	`cube-mult_binary64`
11×	`exp-sum_binary64` `cube-unmult_binary64`
9×	`difference-of-squares_binary64`
8×	`pow-plus_binary64`
7×	`associate-/l*_binary64`
6×	`exp-lft-sqr_binary64` `associate-/l/_binary64` `associate-*r/_binary64`
5×	`+-rgt-identity_binary64` `associate--l+_binary64`
4×	`log-pow_binary64` `unpow1_binary64` `distribute-neg-in_binary64` `associate--r+_binary64`
3×	`sub0-neg_binary64` `associate-/r/_binary64`
2×	`unpow1/2_binary64` `times-frac_binary64` `count-2_binary64` `associate-/r*_binary64`
1×	`unpow2_binary64` `1-exp_binary64` `rem-sqrt-square_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` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-1-e_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-square-sqrt_binary64` `div-sub_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `remove-double-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-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `associate-l/_binary64` `associate--r-_binary64` `associate--l-_binary64`

Counts

59 → 44

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	64	676
1	189	610
2	588	610
3	2155	610
4	4675	610
5	4994	610
6	4981	610

prune14.0ms (1.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	44	0	44
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	44	2	46

Error

Counts

46 → 2

Compiler

Compiled 378 to 166 computations (56.1% saved)

regimes96.0ms (7.2%)

Accuracy

Total 0.0b remaining (63%)

Threshold costs 0.0b (63%)

Compiler

Compiled 456 to 440 computations (3.5% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1× *-commutative_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 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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	10
1	8	10
2	8	10

end1.0ms (0%)

Compiler: Compiled 7 to 5 computations (28.6% saved)

sample532.0ms (39.7%)

Algorithm

1×

intervals

Results

225.0ms	8000×	body	128	valid
4.0ms	154×	body	128	invalid

Compiler

Compiled 43 to 42 computations (2.3% saved)

Details

analyze93.0ms (6.9%)

sample15.0ms (1.1%)

simplify9.0ms (0.7%)

prune3.0ms (0.2%)

localize9.0ms (0.7%)

rewrite41.0ms (3%)

series49.0ms (3.6%)

simplify127.0ms (9.5%)

prune16.0ms (1.2%)

localize4.0ms (0.3%)

rewrite31.0ms (2.3%)

series26.0ms (1.9%)

simplify76.0ms (5.7%)

prune14.0ms (1%)

localize6.0ms (0.4%)

rewrite31.0ms (2.3%)

series48.0ms (3.6%)

simplify99.0ms (7.4%)

prune14.0ms (1.1%)

regimes96.0ms (7.2%)

bsearch0.0ms (0%)

simplify3.0ms (0.2%)

end1.0ms (0%)

sample532.0ms (39.7%)

Profiling