Details

analyze156.0ms (8.8%)

Algorithm

1×	search
2×	egg-herbie

Rules

12×	`associate-/r*_binary64`
5×	`*-commutative_binary64`
4×	`associate-/l/_binary64` `associate-l_binary64`
2×	`associate-r_binary64`
1×	`+-commutative_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` `1-exp_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-unmult_binary64` `cube-mult_binary64` `cube-div_binary64` `cube-prod_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `times-frac_binary64` `div-sub_binary64` `neg-mul-1_binary64` `neg-sub0_binary64` `unsub-neg_binary64` `sub-neg_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `pow-sqr_binary64` `sqr-pow_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `unswap-sqr_binary64` `swap-sqr_binary64` `cancel-sign-sub-inv_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-neg-in_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64` `distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-rgt-out_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64` `count-2_binary64` `associate-/r/_binary64` `associate-/l_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	26
1	19	26
2	34	26
3	39	26
4	37	26
5	37	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
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
25%	74.9%	0.1%	6
56.2%	43.7%	0.1%	7
56.2%	43.7%	0.1%	8
76.5%	23.4%	0.1%	9
76.5%	23.4%	0.1%	10
87.8%	12.1%	0.1%	11
87.8%	12.1%	0.1%	12
93.8%	6.1%	0.1%	13
93.8%	6.1%	0.1%	14

Symmetry

(sort x y)

Compiler

Compiled 10 to 8 computations (20% saved)

sample22.0ms (1.2%)

Algorithm

1×

intervals

Results

7.0ms

256×

body

128

valid

Compiler

Compiled 19 to 17 computations (10.5% saved)

simplify10.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

13×	`associate-/r*_binary64`
5×	`*-commutative_binary64`
4×	`associate-/l/_binary64`
3×	`associate-l_binary64` `associate-r_binary64`
1×	`+-commutative_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `log-rec_binary64` `log-div_binary64` `log-prod_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `unpow3_binary64` `unpow2_binary64` `unpow1/2_binary64` `pow-plus_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `exp-prod_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `exp-sum_binary64` `e-exp-1_binary64` `1-exp_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-unmult_binary64` `cube-mult_binary64` `cube-div_binary64` `cube-prod_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `times-frac_binary64` `div-sub_binary64` `neg-mul-1_binary64` `neg-sub0_binary64` `unsub-neg_binary64` `sub-neg_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `pow-sqr_binary64` `sqr-pow_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `unswap-sqr_binary64` `swap-sqr_binary64` `cancel-sign-sub-inv_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-neg-in_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64` `distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-rgt-out_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64` `count-2_binary64` `associate-/r/_binary64` `associate-/l_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	13
1	15	13
2	28	13
3	39	13
4	37	13
5	37	13

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

15.5b

Counts

2 → 1

Compiler

Compiled 18 to 14 computations (22.2% saved)

localize6.0ms (0.3%)

Local error

Found 1 expressions with local error:

14.9b

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

rewrite38.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`*-un-lft-identity_binary64`
4×	`times-frac_binary64` `associate-/l*_binary64`
3×	`prod-exp_binary64` `div-exp_binary64` `add-cube-cbrt_binary64` `cbrt-undiv_binary64` `cbrt-unprod_binary64` `add-sqr-sqrt_binary64`
2×	`distribute-lft-out_binary64` `associate-/l/_binary64`
1×	`pow1_binary64` `add-log-exp_binary64` `frac-2neg_binary64` `clear-num_binary64` `div-inv_binary64` `flip3-+_binary64` `flip-+_binary64` `associate-/r*_binary64`

Counts

1 → 27

Calls

1 calls:

9.0ms

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

Compiler

Compiled 421 to 201 computations (52.3% saved)

series35.0ms (2%)

Error

0.0b

Counts

1 → 12

Calls

1 calls:

29.0ms

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

Compiler

Compiled 167 to 171 computations (-2.4% saved)

simplify58.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

664×	`times-frac_binary64`
522×	`associate-/r*_binary64`
519×	`associate-l_binary64`
500×	`distribute-rgt-in_binary64`
465×	`distribute-lft-in_binary64`
424×	`associate-/l*_binary64`
380×	`associate-r_binary64`
158×	`associate-/l/_binary64`
147×	`associate-*l/_binary64`
128×	`*-commutative_binary64`
119×	`associate-*r/_binary64`
100×	`distribute-rgt-out_binary64`
65×	`sub-neg_binary64`
57×	`associate-/r/_binary64`
48×	`distribute-lft-out_binary64`
26×	`unsub-neg_binary64`
23×	`distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64`
22×	`+-commutative_binary64`
20×	`neg-sub0_binary64`
19×	`cancel-sign-sub-inv_binary64`
18×	`swap-sqr_binary64`
17×	`neg-mul-1_binary64` `sqr-pow_binary64`
16×	`distribute-neg-in_binary64` `associate-+l+_binary64`
15×	`distribute-lft-neg-out_binary64` `associate--r+_binary64`
14×	`log-div_binary64` `unswap-sqr_binary64`
13×	`distribute-rgt-neg-out_binary64` `associate-+r+_binary64`
10×	`associate-+l-_binary64`
9×	`cube-div_binary64`
8×	`log-prod_binary64` `associate-+r-_binary64`
7×	`cube-prod_binary64` `+-rgt-identity_binary64`
6×	`cube-unmult_binary64`
5×	`unpow3_binary64` `sub0-neg_binary64`
2×	`exp-sqrt_binary64` `cube-mult_binary64` `distribute-rgt-out--_binary64`
1×	`1-exp_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` `log-pow_binary64` `log-rec_binary64` `pow-base-0_binary64` `unpow1/3_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-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-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` `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` `pow-sqr_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_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` `distribute-lft-out--_binary64` `count-2_binary64` `associate--r-_binary64`

Counts

39 → 28

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	78	619
1	217	506
2	823	506
3	3723	505
4	5367	505

prune12.0ms (0.7%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	26	2	28
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	27	2	29

Error

Counts

29 → 2

Compiler

Compiled 235 to 124 computations (47.2% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b	(+.f64 (/.f64 1/2 x) (/.f64 1/2 y))

rewrite31.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

11×	`*-un-lft-identity_binary64`
6×	`times-frac_binary64`
5×	`distribute-lft-out_binary64`
3×	`add-log-exp_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
2×	`div-inv_binary64`
1×	`sum-log_binary64` `pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `frac-add_binary64` `flip3-+_binary64` `flip-+_binary64` `+-commutative_binary64`

Counts

1 → 17

Calls

1 calls:

13.0ms

(+.f64 (/.f64 1/2 x) (/.f64 1/2 y))

Compiler

Compiled 240 to 188 computations (21.7% saved)

series26.0ms (1.5%)

Error

Counts

1 → 12

Calls

1 calls:

24.0ms

(+.f64 (/.f64 1/2 x) (/.f64 1/2 y))

Compiler

Compiled 167 to 171 computations (-2.4% saved)

simplify96.0ms (5.4%)

Algorithm

1×	egg-herbie

Rules

539×	`distribute-rgt-out_binary64`
394×	`associate-/l/_binary64`
389×	`div-sub_binary64`
372×	`times-frac_binary64`
298×	`distribute-rgt-in_binary64`
282×	`associate-/r/_binary64`
273×	`associate-*l/_binary64`
265×	`distribute-lft-in_binary64`
255×	`associate-/l*_binary64`
254×	`distribute-lft-out_binary64`
243×	`cancel-sign-sub-inv_binary64`
227×	`distribute-rgt-neg-in_binary64`
198×	`associate-l_binary64`
185×	`associate-*r/_binary64`
172×	`*-commutative_binary64`
170×	`associate-r_binary64`
122×	`unsub-neg_binary64`
116×	`distribute-lft-neg-out_binary64`
112×	`sub-neg_binary64`
105×	`distribute-rgt-out--_binary64`
95×	`distribute-neg-frac_binary64`
89×	`distribute-lft-neg-in_binary64`
87×	`sqr-pow_binary64`
85×	`distribute-rgt-neg-out_binary64`
84×	`distribute-neg-in_binary64`
77×	`associate-/r*_binary64`
70×	`unswap-sqr_binary64`
62×	`neg-mul-1_binary64` `associate-+l+_binary64`
58×	`associate-+r+_binary64`
54×	`neg-sub0_binary64`
42×	`+-commutative_binary64`
39×	`*-rgt-identity_binary64`
38×	`exp-prod_binary64` `cube-prod_binary64`
37×	`distribute-neg-out_binary64`
32×	`*-lft-identity_binary64` `cancel-sign-sub_binary64`
27×	`distribute-lft-out--_binary64`
23×	`distribute-frac-neg_binary64`
17×	`exp-sum_binary64` `pow-sqr_binary64`
15×	`associate-+l-_binary64`
14×	`unpow3_binary64` `cube-unmult_binary64`
13×	`remove-double-neg_binary64` `sub0-neg_binary64` `associate-+r-_binary64`
11×	`swap-sqr_binary64`
10×	`/-rgt-identity_binary64`
9×	`exp-diff_binary64` `+-rgt-identity_binary64`
8×	`pow-plus_binary64` `+-lft-identity_binary64`
7×	`cube-mult_binary64` `cube-div_binary64` `mul0-rgt_binary64`
6×	`log-prod_binary64` `unpow1/2_binary64` `mul0-lft_binary64` `div0_binary64` `difference-of-squares_binary64`
5×	`cube-neg_binary64`
4×	`rem-sqrt-square_binary64` `associate--r+_binary64`
3×	`prod-exp_binary64`
2×	`unpow2_binary64` `count-2_binary64`
1×	`1-exp_binary64` `exp-1-e_binary64` `sqr-neg_binary64` `distribute-rgt1-in_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` `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` `*-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-lft1-in_binary64` `associate--r-_binary64` `associate--l-_binary64`

Counts

29 → 11

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	47	364
1	120	331
2	373	328
3	1191	328
4	2737	328
5	3898	328
6	4699	328
7	5160	328

prune5.0ms (0.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	11	0	11
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	11	2	13

Error

Counts

13 → 2

Compiler

Compiled 102 to 73 computations (28.4% saved)

localize10.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (/.f64 (+.f64 x y) (.f64 y (.f64 x 2))))
0.2b	(.f64 (sqrt.f64 (/.f64 (+.f64 x y) (.f64 y (.f64 x 2)))) (sqrt.f64 (/.f64 (+.f64 x y) (.f64 y (*.f64 x 2)))))
14.9b	(/.f64 (+.f64 x y) (.f64 y (.f64 x 2)))
14.9b	(/.f64 (+.f64 x y) (.f64 y (.f64 x 2)))

rewrite147.0ms (8.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

50×	`sqrt-prod_binary64`
46×	`*-un-lft-identity_binary64`
37×	`add-sqr-sqrt_binary64`
32×	`times-frac_binary64`
24×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
22×	`add-cube-cbrt_binary64`
20×	`pow1_binary64`
15×	`swap-sqr_binary64`
11×	`distribute-lft-out_binary64` `associate-l_binary64` `associate-r_binary64`
9×	`pow1/2_binary64` `sqrt-pow1_binary64`
8×	`associate-/l*_binary64`
7×	`prod-exp_binary64` `cbrt-unprod_binary64` `div-inv_binary64`
6×	`div-exp_binary64` `cbrt-undiv_binary64`
5×	`pow-prod-up_binary64` `sqrt-div_binary64`
4×	`add-log-exp_binary64` `associate-/l/_binary64` `unswap-sqr_binary64`
3×	`pow-prod-down_binary64` `rem-sqrt-square_binary64` `pow-sqr_binary64`
2×	`frac-2neg_binary64` `clear-num_binary64` `flip3-+_binary64` `flip-+_binary64` `associate-/r*_binary64`
1×	`pow2_binary64` `pow-plus_binary64` `sqrt-unprod_binary64` `sqr-abs_binary64` `rem-square-sqrt_binary64` `frac-times_binary64` `associate-l/_binary64` `associate-r/_binary64` `*-commutative_binary64`

Counts

4 → 143

Calls

4 calls:

21.0ms	(.f64 (sqrt.f64 (/.f64 (+.f64 x y) (.f64 y (.f64 x 2)))) (sqrt.f64 (/.f64 (+.f64 x y) (.f64 y (*.f64 x 2)))))
8.0ms	(/.f64 (+.f64 x y) (.f64 y (.f64 x 2)))
8.0ms	(/.f64 (+.f64 x y) (.f64 y (.f64 x 2)))
6.0ms	(sqrt.f64 (/.f64 (+.f64 x y) (.f64 y (.f64 x 2))))

Compiler

Compiled 3464 to 1811 computations (47.7% saved)

series208.0ms (11.8%)

Error

Counts

4 → 52

Calls

4 calls:

69.0ms	(.f64 (sqrt.f64 (/.f64 (+.f64 x y) (.f64 y (.f64 x 2)))) (sqrt.f64 (/.f64 (+.f64 x y) (.f64 y (*.f64 x 2)))))
48.0ms	(sqrt.f64 (/.f64 (+.f64 x y) (.f64 y (.f64 x 2))))
34.0ms	(/.f64 (+.f64 x y) (.f64 y (.f64 x 2)))
34.0ms	(/.f64 (+.f64 x y) (.f64 y (.f64 x 2)))

Compiler

Compiled 2237 to 1838 computations (17.8% saved)

simplify145.0ms (8.2%)

Algorithm

1×	egg-herbie

Rules

572×	`associate-*l/_binary64`
463×	`associate-*r/_binary64`
263×	`associate-/l/_binary64`
193×	`associate-l_binary64`
189×	`associate-r_binary64`
137×	`unswap-sqr_binary64`
123×	`distribute-rgt-in_binary64`
117×	`*-commutative_binary64`
115×	`cancel-sign-sub-inv_binary64`
113×	`associate-/r*_binary64`
112×	`distribute-lft-in_binary64`
99×	`times-frac_binary64`
81×	`associate-/r/_binary64`
72×	`log-prod_binary64`
66×	`log-div_binary64`
65×	`distribute-rgt-neg-in_binary64`
64×	`cube-div_binary64`
61×	`distribute-lft-neg-in_binary64` `associate-/l*_binary64`
59×	`cube-prod_binary64`
42×	`sub-neg_binary64`
39×	`+-commutative_binary64`
38×	`sqr-pow_binary64`
37×	`exp-prod_binary64`
32×	`distribute-neg-frac_binary64`
27×	`neg-mul-1_binary64` `neg-sub0_binary64`
25×	`unpow3_binary64`
20×	`rem-sqrt-square_binary64` `swap-sqr_binary64`
18×	`cube-mult_binary64` `*-lft-identity_binary64`
16×	`associate--l+_binary64`
14×	`rem-square-sqrt_binary64` `*-rgt-identity_binary64`
13×	`cube-unmult_binary64` `distribute-neg-in_binary64` `associate-+l+_binary64`
12×	`distribute-rgt-out_binary64`
11×	`distribute-lft-out_binary64`
10×	`pow-plus_binary64` `unsub-neg_binary64`
8×	`log-pow_binary64` `exp-sqrt_binary64`
7×	`associate--r+_binary64`
6×	`associate-+r+_binary64`
4×	`unpow1/2_binary64` `pow-sqr_binary64` `distribute-lft-neg-out_binary64` `count-2_binary64`
3×	`unpow2_binary64` `unpow1_binary64`
2×	`difference-of-squares_binary64` `distribute-rgt-neg-out_binary64` `distribute-rgt-out--_binary64`
1×	`1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_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` `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` `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-neg_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `div-sub_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` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `associate--r-_binary64` `associate--l-_binary64`

Counts

195 → 127

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	218	3819
1	521	3361
2	1917	3286
3	4658	3267
4	4958	3267

prune51.0ms (2.9%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	127	0	127
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	127	2	129

Error

Counts

129 → 2

Compiler

Compiled 1560 to 892 computations (42.8% saved)

regimes158.0ms (8.9%)

Accuracy

Total 0.0b remaining (11.9%)

Threshold costs 0.0b (11.9%)

Compiler

Compiled 1620 to 1250 computations (22.8% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1× +-commutative_binary64

0× not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 unpow1_binary64 e-exp-1_binary64 1-exp_binary64 exp-1-e_binary64 exp-0_binary64 sqr-abs_binary64 sqr-neg_binary64 neg-mul-1_binary64 neg-sub0_binary64 unsub-neg_binary64 sub-neg_binary64 mul-1-neg_binary64 /-rgt-identity_binary64 *-rgt-identity_binary64 *-lft-identity_binary64 remove-double-neg_binary64 sub0-neg_binary64 --rgt-identity_binary64 +-rgt-identity_binary64 +-lft-identity_binary64 cancel-sign-sub-inv_binary64 cancel-sign-sub_binary64 distribute-neg-frac_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64 distribute-neg-in_binary64 distribute-rgt-neg-out_binary64 distribute-lft-neg-out_binary64 distribute-rgt-neg-in_binary64 distribute-lft-neg-in_binary64 *-commutative_binary64

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	8	10
2	8	10

end6.0ms (0.4%)

Remove: (sort x y)
Compiler: Compiled 21 to 21 computations (0% saved)

sample540.0ms (30.6%)

Algorithm

1×

intervals

Results

229.0ms	8000×	body	128	valid
0.0ms	1×	body	128	invalid

Compiler

Compiled 55 to 54 computations (1.8% saved)

Details

analyze156.0ms (8.8%)

sample22.0ms (1.2%)

simplify10.0ms (0.5%)

prune2.0ms (0.1%)

localize6.0ms (0.3%)

rewrite38.0ms (2.2%)

series35.0ms (2%)

simplify58.0ms (3.3%)

prune12.0ms (0.7%)

localize4.0ms (0.2%)

rewrite31.0ms (1.7%)

series26.0ms (1.5%)

simplify96.0ms (5.4%)

prune5.0ms (0.3%)

localize10.0ms (0.6%)

rewrite147.0ms (8.3%)

series208.0ms (11.8%)

simplify145.0ms (8.2%)

prune51.0ms (2.9%)

regimes158.0ms (8.9%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end6.0ms (0.4%)

sample540.0ms (30.6%)

Profiling