Details

analyze115.0ms (7.6%)

Algorithm

1×	search
2×	egg-herbie

Rules

110×	`distribute-rgt-in_binary64`
92×	`cancel-sign-sub-inv_binary64`
84×	`unsub-neg_binary64`
74×	`associate-r_binary64`
65×	`sub-neg_binary64`
62×	`distribute-rgt-neg-out_binary64`
58×	`distribute-lft-neg-out_binary64`
57×	`distribute-rgt-neg-in_binary64`
54×	`associate--r+_binary64`
50×	`neg-mul-1_binary64` `distribute-lft-in_binary64`
48×	`distribute-neg-in_binary64`
47×	`neg-sub0_binary64`
45×	`associate-l_binary64`
32×	`distribute-lft-neg-in_binary64`
27×	`*-commutative_binary64`
22×	`remove-double-neg_binary64`
20×	`associate-+l-_binary64`
12×	`mul0-rgt_binary64` `mul0-lft_binary64`
11×	`+-commutative_binary64`
10×	`associate--r-_binary64`
8×	`sub0-neg_binary64` `distribute-rgt-out--_binary64`
6×	`distribute-rgt-out_binary64` `associate--l+_binary64`
4×	`*-lft-identity_binary64` `+-rgt-identity_binary64` `associate-+r-_binary64` `associate-+l+_binary64` `associate-+r+_binary64`
2×	`sqr-neg_binary64` `*-rgt-identity_binary64` `+-lft-identity_binary64` `swap-sqr_binary64` `distribute-lft-out--_binary64`
1×	`1-exp_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` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `times-frac_binary64` `div-sub_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `--rgt-identity_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` `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-/l/_binary64` `associate-/r/_binary64` `associate-/l_binary64` `associate-/r_binary64` `associate-l/_binary64` `associate-*r/_binary64` `associate--l-_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	20
1	27	20
2	59	20
3	111	20
4	178	20
5	320	20
6	411	20
7	540	20
8	561	20
9	557	20
10	557	20
11	504	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%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	128	valid
0.0ms	7×	body	128	invalid

Compiler

Compiled 19 to 17 computations (10.5% saved)

simplify23.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

71×	`distribute-rgt-in_binary64`
70×	`associate-l_binary64`
69×	`cancel-sign-sub-inv_binary64`
67×	`associate-r_binary64`
50×	`sub-neg_binary64`
39×	`distribute-lft-in_binary64`
36×	`distribute-rgt-neg-out_binary64`
35×	`distribute-lft-neg-out_binary64`
29×	`distribute-rgt-neg-in_binary64` `associate--r+_binary64`
27×	`unsub-neg_binary64`
24×	`*-commutative_binary64`
21×	`neg-sub0_binary64`
19×	`neg-mul-1_binary64` `distribute-neg-in_binary64` `associate-+l-_binary64`
12×	`sub0-neg_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `distribute-lft-neg-in_binary64`
10×	`+-commutative_binary64`
9×	`*-lft-identity_binary64` `distribute-rgt-out_binary64`
8×	`distribute-rgt-out--_binary64`
7×	`*-rgt-identity_binary64`
5×	`+-lft-identity_binary64` `associate--r-_binary64` `associate-+l+_binary64`
4×	`remove-double-neg_binary64` `associate-+r+_binary64`
3×	`--rgt-identity_binary64` `associate--l+_binary64` `associate-+r-_binary64`
2×	`mul-1-neg_binary64` `+-rgt-identity_binary64` `distribute-lft-out_binary64`
1×	`1-exp_binary64` `swap-sqr_binary64` `distribute-lft-out--_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` `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` `/-rgt-identity_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` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `count-2_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	17	10
2	39	10
3	80	10
4	127	10
5	169	10
6	286	10
7	350	10
8	430	10
9	417	10
10	364	10

prune3.0ms (0.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.0b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize9.0ms (0.6%)

Local error

Found 2 expressions with local error:

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

rewrite60.0ms (4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

20×	`distribute-rgt-in_binary64` `distribute-lft-in_binary64`
18×	`cancel-sign-sub-inv_binary64`
15×	`add-sqr-sqrt_binary64`
13×	`*-un-lft-identity_binary64`
11×	`add-cube-cbrt_binary64`
9×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`sub-neg_binary64` `associate-r/_binary64` `associate-l_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` `difference-of-squares_binary64` `distribute-lft-out--_binary64`

Counts

2 → 66

Calls

2 calls:

9.0ms	(.f64 2 (.f64 x (-.f64 x y)))
7.0ms	(*.f64 x (-.f64 x y))

Compiler

Compiled 864 to 346 computations (60% saved)

series48.0ms (3.2%)

Error

0.0b

Counts

2 → 24

Calls

2 calls:

24.0ms	(.f64 2 (.f64 x (-.f64 x y)))
19.0ms	(*.f64 x (-.f64 x y))

Compiler

Compiled 343 to 313 computations (8.7% saved)

simplify93.0ms (6.1%)

Algorithm

1×	egg-herbie

Rules

419×	`distribute-rgt-neg-out_binary64`
413×	`distribute-lft-neg-out_binary64`
340×	`exp-prod_binary64`
317×	`unsub-neg_binary64`
298×	`*-commutative_binary64`
291×	`associate-+l+_binary64`
262×	`distribute-rgt-in_binary64`
248×	`distribute-lft-in_binary64`
153×	`associate-l_binary64`
152×	`associate-r_binary64`
84×	`neg-sub0_binary64`
82×	`neg-mul-1_binary64`
73×	`unswap-sqr_binary64`
59×	`distribute-rgt-neg-in_binary64`
51×	`sqr-pow_binary64`
48×	`distribute-lft-neg-in_binary64`
46×	`cancel-sign-sub-inv_binary64`
41×	`associate-+l-_binary64`
40×	`sub-neg_binary64`
34×	`log-prod_binary64`
32×	`*-lft-identity_binary64` `swap-sqr_binary64`
31×	`exp-sum_binary64`
30×	`cube-prod_binary64` `*-rgt-identity_binary64` `associate-+r-_binary64`
26×	`associate-/l*_binary64`
24×	`distribute-neg-out_binary64`
21×	`exp-neg_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `distribute-rgt-out_binary64`
19×	`exp-lft-sqr_binary64`
18×	`+-commutative_binary64`
16×	`exp-diff_binary64`
14×	`difference-of-squares_binary64`
12×	`div-sub_binary64` `pow-sqr_binary64`
10×	`unpow3_binary64`
9×	`distribute-rgt-out--_binary64`
8×	`associate-+r+_binary64`
7×	`associate-/r*_binary64`
6×	`associate-*r/_binary64` `associate--r+_binary64`
5×	`cube-unmult_binary64` `sub0-neg_binary64` `associate-/l/_binary64`
4×	`unpow1/2_binary64` `pow-plus_binary64` `cube-mult_binary64` `+-rgt-identity_binary64`
3×	`log-pow_binary64` `distribute-lft-out--_binary64` `associate-/r/_binary64`
2×	`prod-exp_binary64` `rem-sqrt-square_binary64` `count-2_binary64`
1×	`unpow2_binary64` `unpow1_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-lft_binary64` `sqr-neg_binary64` `rem-square-sqrt_binary64` `mul-1-neg_binary64` `cancel-sign-sub_binary64` `distribute-neg-in_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-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` `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-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `times-frac_binary64` `/-rgt-identity_binary64` `remove-double-neg_binary64` `--rgt-identity_binary64` `+-lft-identity_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` `distribute-lft1-in_binary64` `distribute-lft-out_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--l+_binary64`

Counts

90 → 73

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	113	1065
1	253	930
2	761	930
3	1921	930
4	4851	930
5	5013	930

prune19.0ms (1.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

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

Error

Counts

74 → 3

Compiler

Compiled 321 to 170 computations (47% saved)

localize4.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.2b	(.f64 x (.f64 2 (-.f64 x y)))

rewrite36.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

16×	`distribute-rgt-in_binary64` `distribute-lft-in_binary64`
12×	`cancel-sign-sub-inv_binary64`
6×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
4×	`sub-neg_binary64` `associate-*r/_binary64`
3×	`pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `associate-l_binary64`
1×	`add-log-exp_binary64` `flip3--_binary64` `flip--_binary64` `associate-r_binary64` `*-commutative_binary64`

Counts

1 → 36

Calls

1 calls:

9.0ms

(*.f64 x (*.f64 2 (-.f64 x y)))

Compiler

Compiled 493 to 260 computations (47.3% saved)

series28.0ms (1.8%)

Error

Counts

1 → 12

Calls

1 calls:

24.0ms

(*.f64 x (*.f64 2 (-.f64 x y)))

Compiler

Compiled 183 to 169 computations (7.7% saved)

simplify75.0ms (5%)

Algorithm

1×	egg-herbie

Rules

757×	`associate-r_binary64`
546×	`neg-mul-1_binary64`
337×	`exp-prod_binary64`
299×	`distribute-rgt-neg-out_binary64`
251×	`distribute-lft-neg-out_binary64`
235×	`distribute-rgt-in_binary64`
220×	`distribute-lft-in_binary64`
202×	`*-commutative_binary64`
151×	`associate-+l+_binary64`
147×	`unsub-neg_binary64` `+-commutative_binary64`
115×	`associate-l_binary64`
92×	`associate-+r+_binary64`
81×	`exp-sum_binary64`
72×	`unswap-sqr_binary64`
68×	`cancel-sign-sub-inv_binary64`
56×	`neg-sub0_binary64`
53×	`exp-diff_binary64`
52×	`distribute-rgt-neg-in_binary64`
46×	`exp-neg_binary64`
44×	`distribute-rgt-out_binary64`
42×	`sqr-pow_binary64`
35×	`sub-neg_binary64`
34×	`cube-prod_binary64`
33×	`log-prod_binary64`
32×	`div-sub_binary64`
28×	`swap-sqr_binary64` `distribute-lft-neg-in_binary64`
24×	`associate-+l-_binary64`
23×	`exp-lft-sqr_binary64`
19×	`mul0-rgt_binary64` `mul0-lft_binary64`
16×	`associate-+r-_binary64`
13×	`unpow3_binary64`
12×	`difference-of-squares_binary64` `distribute-neg-out_binary64`
11×	`distribute-rgt-out--_binary64`
9×	`prod-exp_binary64` `cube-mult_binary64`
8×	`cube-unmult_binary64` `pow-sqr_binary64`
7×	`log-div_binary64` `pow-plus_binary64` `cube-div_binary64`
6×	`sqr-neg_binary64` `associate--r+_binary64`
5×	`+-rgt-identity_binary64` `associate-/l*_binary64`
4×	`unpow1_binary64` `sub0-neg_binary64`
3×	`log-pow_binary64` `rem-sqrt-square_binary64` `associate-/l/_binary64` `associate-*r/_binary64`
2×	`exp-sqrt_binary64` `cube-neg_binary64` `distribute-lft-out--_binary64`
1×	`unpow2_binary64` `unpow1/2_binary64` `div-exp_binary64` `1-exp_binary64` `rem-3cbrt-lft_binary64` `rem-square-sqrt_binary64` `/-rgt-identity_binary64` `cancel-sign-sub_binary64` `distribute-neg-in_binary64` `count-2_binary64` `associate-/r/_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-cbrt_binary64` `rec-exp_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `times-frac_binary64` `mul-1-neg_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `remove-double-neg_binary64` `--rgt-identity_binary64` `+-lft-identity_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` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-lft-out_binary64` `associate-l/_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--l+_binary64`

Counts

48 → 36

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	97	646
1	217	565
2	617	565
3	2067	565
4	4246	565
5	5291	565

prune7.0ms (0.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	36	0	36
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	36	3	39

Error

Counts

39 → 3

Compiler

Compiled 109 to 61 computations (44% saved)

localize7.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.2b	(.f64 x (.f64 (-.f64 x y) (sqrt.f64 2)))
0.4b	(*.f64 (-.f64 x y) (sqrt.f64 2))
0.5b	(.f64 (sqrt.f64 2) (.f64 x (*.f64 (-.f64 x y) (sqrt.f64 2))))

rewrite79.0ms (5.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

19×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
15×	`add-sqr-sqrt_binary64`
14×	`associate-l_binary64`
11×	`*-un-lft-identity_binary64`
10×	`pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64`
9×	`add-cube-cbrt_binary64`
8×	`associate-r_binary64`
7×	`sqrt-prod_binary64`
6×	`associate-l/_binary64` `associate-r/_binary64`
3×	`add-log-exp_binary64` `flip3--_binary64` `flip--_binary64` `*-commutative_binary64`
2×	`unswap-sqr_binary64`
1×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`

Counts

3 → 72

Calls

3 calls:

12.0ms	(.f64 (sqrt.f64 2) (.f64 x (*.f64 (-.f64 x y) (sqrt.f64 2))))
9.0ms	(*.f64 (-.f64 x y) (sqrt.f64 2))
8.0ms	(.f64 x (.f64 (-.f64 x y) (sqrt.f64 2)))

Compiler

Compiled 1152 to 731 computations (36.5% saved)

series110.0ms (7.3%)

Error

Counts

3 → 36

Calls

3 calls:

43.0ms	(.f64 (sqrt.f64 2) (.f64 x (*.f64 (-.f64 x y) (sqrt.f64 2))))
32.0ms	(.f64 x (.f64 (-.f64 x y) (sqrt.f64 2)))
28.0ms	(*.f64 (-.f64 x y) (sqrt.f64 2))

Compiler

Compiled 843 to 796 computations (5.6% saved)

simplify91.0ms (6%)

Algorithm

1×	egg-herbie

Rules

453×	`distribute-rgt-in_binary64`
444×	`distribute-lft-in_binary64`
430×	`*-commutative_binary64`
342×	`distribute-lft-neg-out_binary64`
336×	`distribute-rgt-neg-out_binary64`
271×	`unswap-sqr_binary64`
202×	`associate-r_binary64`
168×	`associate-l_binary64`
113×	`exp-prod_binary64`
85×	`sqr-pow_binary64`
71×	`neg-sub0_binary64`
70×	`unsub-neg_binary64`
68×	`neg-mul-1_binary64`
57×	`swap-sqr_binary64`
53×	`cancel-sign-sub-inv_binary64`
49×	`log-prod_binary64`
47×	`sub-neg_binary64`
43×	`cube-prod_binary64`
42×	`exp-sum_binary64`
29×	`*-rgt-identity_binary64` `associate-+l+_binary64`
27×	`*-lft-identity_binary64`
24×	`distribute-rgt-neg-in_binary64`
21×	`div-sub_binary64`
19×	`+-commutative_binary64`
18×	`exp-diff_binary64` `associate-+r+_binary64`
17×	`distribute-lft-neg-in_binary64`
15×	`pow-sqr_binary64`
10×	`distribute-neg-out_binary64` `associate-/l*_binary64`
9×	`associate-+l-_binary64`
8×	`unpow3_binary64`
7×	`sub0-neg_binary64` `+-rgt-identity_binary64` `associate-+r-_binary64`
6×	`cube-mult_binary64` `difference-of-squares_binary64`
5×	`cube-unmult_binary64` `distribute-rgt-out--_binary64`
4×	`log-pow_binary64` `exp-neg_binary64` `sqr-neg_binary64` `distribute-rgt-out_binary64` `distribute-lft-out_binary64`
3×	`unpow1/2_binary64` `pow-plus_binary64` `exp-lft-sqr_binary64` `rem-sqrt-square_binary64` `mul-1-neg_binary64`
2×	`unpow2_binary64` `unpow1_binary64`
1×	`prod-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-square-sqrt_binary64` `cancel-sign-sub_binary64` `distribute-lft-out--_binary64` `count-2_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-rec_binary64` `log-div_binary64` `pow-base-0_binary64` `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` `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` `times-frac_binary64` `/-rgt-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` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-in_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `associate-/r_binary64` `associate-l/_binary64` `associate-r/_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--l+_binary64` `associate--r+_binary64`

Counts

108 → 92

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	109	1683
1	276	1298
2	975	1265
3	2842	1257
4	5142	1257

prune35.0ms (2.3%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	92	0	92
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	92	3	95

Error

Counts

95 → 3

Compiler

Compiled 714 to 432 computations (39.5% saved)

regimes105.0ms (7%)

Accuracy

Total 0.0b remaining (30.1%)

Threshold costs 0.0b (30.1%)

Compiler

Compiled 516 to 504 computations (2.3% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64`
2×	`sub-neg_binary64` `+-commutative_binary64`
1×	`neg-mul-1_binary64` `neg-sub0_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` `unsub-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	11	10
2	16	10
3	18	10
4	19	10
5	19	10

end1.0ms (0%)

Compiler: Compiled 7 to 6 computations (14.3% saved)

sample548.0ms (36.2%)

Algorithm

1×

intervals

Results

221.0ms	8000×	body	128	valid
4.0ms	161×	body	128	invalid

Compiler

Compiled 52 to 53 computations (-1.9% saved)

Iter	Nodes	Cost
0	12	20
1	27	20
2	59	20
3	111	20
4	178	20
5	320	20
6	411	20
7	540	20
8	561	20
9	557	20
10	557	20
11	504	20
0	2	2
1	2	2

Iter	Nodes	Cost
0	8	10
1	17	10
2	39	10
3	80	10
4	127	10
5	169	10
6	286	10
7	350	10
8	430	10
9	417	10
10	364	10

Iter	Nodes	Cost
0	12	20
1	27	20
2	59	20
3	111	20
4	178	20
5	320	20
6	411	20
7	540	20
8	561	20
9	557	20
10	557	20
11	504	20
0	2	2
1	2	2

Iter	Nodes	Cost
0	8	10
1	17	10
2	39	10
3	80	10
4	127	10
5	169	10
6	286	10
7	350	10
8	430	10
9	417	10
10	364	10

Details

analyze115.0ms (7.6%)

sample15.0ms (1%)

simplify23.0ms (1.5%)

prune3.0ms (0.2%)

localize9.0ms (0.6%)

rewrite60.0ms (4%)

series48.0ms (3.2%)

simplify93.0ms (6.1%)

prune19.0ms (1.2%)

localize4.0ms (0.3%)

rewrite36.0ms (2.4%)

series28.0ms (1.8%)

simplify75.0ms (5%)

prune7.0ms (0.4%)

localize7.0ms (0.4%)

rewrite79.0ms (5.2%)

series110.0ms (7.3%)

simplify91.0ms (6%)

prune35.0ms (2.3%)

regimes105.0ms (7%)

bsearch0.0ms (0%)

simplify3.0ms (0.2%)

end1.0ms (0%)

sample548.0ms (36.2%)

Profiling

Iter	Nodes	Cost
0	12	20
1	27	20
2	59	20
3	111	20
4	178	20
5	320	20
6	411	20
7	540	20
8	561	20
9	557	20
10	557	20
11	504	20
0	2	2
1	2	2

Iter	Nodes	Cost
0	8	10
1	17	10
2	39	10
3	80	10
4	127	10
5	169	10
6	286	10
7	350	10
8	430	10
9	417	10
10	364	10