Details

analyze349.0ms (6%)

Algorithm

1×	search
2×	egg-herbie

Rules

1202×	`div-sub_binary64`
985×	`sub-neg_binary64`
724×	`unsub-neg_binary64`
722×	`times-frac_binary64`
453×	`*-commutative_binary64`
396×	`associate-/l*_binary64`
315×	`cancel-sign-sub-inv_binary64`
299×	`neg-mul-1_binary64`
295×	`distribute-lft-neg-in_binary64`
293×	`neg-sub0_binary64`
283×	`distribute-rgt-in_binary64`
265×	`associate--r+_binary64`
262×	`distribute-neg-in_binary64`
244×	`distribute-lft-in_binary64`
240×	`associate-+r+_binary64`
236×	`associate--l+_binary64`
228×	`associate-+l+_binary64`
202×	`distribute-rgt-neg-in_binary64`
182×	`distribute-frac-neg_binary64`
162×	`associate-/r*_binary64`
160×	`distribute-neg-frac_binary64`
153×	`distribute-rgt-neg-out_binary64`
120×	`associate--r-_binary64`
118×	`distribute-lft-neg-out_binary64`
114×	`+-commutative_binary64`
112×	`+-rgt-identity_binary64`
96×	`associate-+l-_binary64`
90×	`*-lft-identity_binary64` `associate--l-_binary64`
86×	`remove-double-neg_binary64`
85×	`associate-r_binary64`
80×	`/-rgt-identity_binary64`
78×	`--rgt-identity_binary64`
74×	`associate-+r-_binary64`
60×	`associate-l_binary64`
46×	`associate-/l/_binary64` `associate-/r/_binary64`
44×	`mul0-rgt_binary64` `mul0-lft_binary64`
38×	`associate-*l/_binary64`
36×	`*-rgt-identity_binary64`
32×	`sub0-neg_binary64` `div0_binary64`
24×	`cancel-sign-sub_binary64`
20×	`mul-1-neg_binary64` `+-lft-identity_binary64` `distribute-rgt-out--_binary64` `distribute-rgt-out_binary64`
10×	`distribute-rgt1-in_binary64`
8×	`associate-*r/_binary64`
6×	`lft-mult-inverse_binary64` `distribute-lft1-in_binary64`
4×	`*-inverses_binary64`
2×	`remove-double-div_binary64` `distribute-neg-out_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` `sqr-neg_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `+-inverses_binary64` `rgt-mult-inverse_binary64` `pow-sqr_binary64` `sqr-pow_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `unswap-sqr_binary64` `swap-sqr_binary64` `distribute-lft-out_binary64` `count-2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	32
1	32	32
2	79	32
3	172	32
4	485	32
5	1148	32
6	1917	32
7	2433	32
8	2801	32
9	3063	32
10	2737	32
11	2785	32
12	3493	32
13	3569	32
14	4553	32
15	4473	32
16	4569	32
17	4569	32
18	4569	32
19	4569	32
20	5216	32
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
12.5%	87.4%	0.1%	4
25%	74.9%	0.1%	5
31.2%	68.7%	0.1%	6
67.1%	32.8%	0.1%	7
71%	28.9%	0.1%	8
82.3%	17.6%	0.1%	9
84.9%	15%	0.1%	10
90.8%	9.1%	0.1%	11
92.2%	7.7%	0.1%	12
95.3%	4.6%	0.1%	13
96%	3.9%	0.1%	14

Compiler

Compiled 12 to 11 computations (8.3% saved)

sample19.0ms (0.3%)

Algorithm

1×

intervals

Results

6.0ms	209×	body	128	valid
2.0ms	16×	body	1024	valid
2.0ms	18×	body	512	valid
1.0ms	13×	body	256	valid

Compiler

Compiled 23 to 23 computations (0% saved)

simplify196.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

1574×	`distribute-rgt-in_binary64`
1102×	`div-sub_binary64`
756×	`sub-neg_binary64`
664×	`associate-/l*_binary64`
569×	`unsub-neg_binary64`
509×	`associate-/r*_binary64`
485×	`neg-mul-1_binary64`
454×	`neg-sub0_binary64`
407×	`distribute-lft-in_binary64`
400×	`associate-l_binary64`
385×	`associate-r_binary64`
308×	`associate-*l/_binary64`
302×	`associate-/l/_binary64`
295×	`distribute-neg-in_binary64`
282×	`times-frac_binary64`
262×	`associate-/r/_binary64`
248×	`distribute-lft-neg-out_binary64`
217×	`distribute-frac-neg_binary64`
176×	`distribute-rgt-out--_binary64`
174×	`distribute-lft-neg-in_binary64`
171×	`*-commutative_binary64`
162×	`distribute-neg-out_binary64`
159×	`cancel-sign-sub-inv_binary64`
130×	`associate-+l+_binary64`
129×	`distribute-lft-out--_binary64`
122×	`distribute-rgt-neg-in_binary64`
118×	`associate-+l-_binary64`
106×	`distribute-rgt-out_binary64` `associate--l+_binary64`
104×	`associate-+r-_binary64`
98×	`distribute-rgt-neg-out_binary64`
93×	`associate--r+_binary64`
85×	`associate-*r/_binary64`
83×	`associate--l-_binary64`
73×	`remove-double-neg_binary64`
72×	`/-rgt-identity_binary64` `+-commutative_binary64`
71×	`--rgt-identity_binary64`
64×	`distribute-lft-out_binary64`
63×	`associate--r-_binary64`
52×	`distribute-neg-frac_binary64`
40×	`mul0-rgt_binary64`
39×	`mul0-lft_binary64`
38×	`distribute-rgt1-in_binary64`
30×	`div0_binary64`
29×	`distribute-lft1-in_binary64`
25×	`sub0-neg_binary64`
24×	`*-rgt-identity_binary64`
21×	`mul-1-neg_binary64` `*-lft-identity_binary64`
17×	`remove-double-div_binary64`
15×	`associate-+r+_binary64`
9×	`+-lft-identity_binary64`
4×	`*-inverses_binary64` `swap-sqr_binary64`
3×	`+-rgt-identity_binary64` `lft-mult-inverse_binary64` `cancel-sign-sub_binary64`
2×	`sqr-neg_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` `+-inverses_binary64` `rgt-mult-inverse_binary64` `pow-sqr_binary64` `sqr-pow_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `unswap-sqr_binary64` `count-2_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	16
1	19	16
2	43	16
3	98	16
4	256	16
5	565	16
6	972	16
7	1231	16
8	1769	16
9	2294	16
10	2639	16
11	2822	16
12	1409	16
13	1425	16
14	1705	16
15	1573	16
16	1509	16
17	1509	16
18	3701	16
19	4209	16
20	4852	16

prune2.0ms (0%)

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

19.5b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize10.0ms (0.2%)

Local error

Found 2 expressions with local error:

3.1b	(-.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1)))
6.3b	(/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1))

rewrite89.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

12.4b

Rules

15×	`*-un-lft-identity_binary64`
10×	`cancel-sign-sub-inv_binary64`
9×	`add-sqr-sqrt_binary64`
8×	`times-frac_binary64`
7×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`add-cube-cbrt_binary64`
4×	`add-log-exp_binary64` `associate-/r/_binary64` `associate-/r*_binary64`
3×	`distribute-lft-out_binary64`
2×	`pow1_binary64` `div-exp_binary64` `cbrt-undiv_binary64` `div-inv_binary64` `flip3--_binary64` `associate-*l/_binary64` `associate-/l/_binary64` `flip--_binary64` `flip3-+_binary64` `flip-+_binary64` `difference-of-squares_binary64`
1×	`prod-exp_binary64` `cbrt-unprod_binary64` `frac-2neg_binary64` `clear-num_binary64` `associate-/l*_binary64` `diff-log_binary64` `sub-neg_binary64` `distribute-lft-out--_binary64`

Counts

2 → 51

Calls

2 calls:

9.0ms	(/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1))
9.0ms	(-.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1)))

Compiler

Compiled 985 to 745 computations (24.4% saved)

series93.0ms (1.6%)

Error

0.1b

Counts

2 → 36

Calls

2 calls:

35.0ms	(-.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1)))
34.0ms	(/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1))

Compiler

Compiled 997 to 749 computations (24.9% saved)

simplify96.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

408×	`div-sub_binary64`
371×	`cancel-sign-sub-inv_binary64`
350×	`distribute-rgt-in_binary64`
281×	`distribute-lft-in_binary64`
265×	`sub-neg_binary64`
235×	`associate-/l/_binary64`
145×	`distribute-rgt-neg-in_binary64`
119×	`distribute-neg-frac_binary64`
117×	`distribute-lft-neg-in_binary64`
103×	`+-commutative_binary64`
100×	`distribute-neg-in_binary64`
93×	`associate--l+_binary64`
87×	`associate-/l*_binary64`
81×	`exp-prod_binary64`
77×	`associate--r+_binary64`
75×	`neg-sub0_binary64`
71×	`neg-mul-1_binary64`
69×	`exp-sum_binary64` `associate-+l+_binary64`
67×	`associate-r_binary64`
66×	`associate-l_binary64`
63×	`times-frac_binary64` `unsub-neg_binary64`
56×	`*-commutative_binary64`
54×	`associate-+r+_binary64`
53×	`associate-*l/_binary64`
51×	`distribute-lft-neg-out_binary64`
50×	`distribute-rgt-out_binary64`
44×	`log-div_binary64`
43×	`cube-div_binary64` `associate-/r*_binary64`
39×	`log-prod_binary64` `associate-*r/_binary64`
36×	`cube-prod_binary64`
31×	`distribute-rgt-neg-out_binary64`
30×	`distribute-rgt-out--_binary64`
29×	`*-rgt-identity_binary64`
25×	`exp-diff_binary64`
21×	`distribute-rgt1-in_binary64`
20×	`sqr-pow_binary64`
18×	`unpow3_binary64` `unswap-sqr_binary64`
17×	`swap-sqr_binary64`
16×	`*-lft-identity_binary64`
14×	`/-rgt-identity_binary64`
13×	`cube-mult_binary64` `associate-/r/_binary64`
9×	`distribute-lft-out_binary64`
7×	`log-rec_binary64`
6×	`cube-unmult_binary64` `distribute-lft-out--_binary64`
5×	`div0_binary64`
4×	`distribute-frac-neg_binary64` `distribute-neg-out_binary64`
3×	`log-pow_binary64` `sqr-neg_binary64` `mul-1-neg_binary64` `difference-of-squares_binary64` `associate--r-_binary64`
2×	`unpow1/2_binary64` `pow-plus_binary64` `exp-neg_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `sub0-neg_binary64`
1×	`unpow2_binary64` `unpow1_binary64` `div-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `remove-double-neg_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `distribute-lft1-in_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` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `rec-exp_binary64` `prod-exp_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` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `pow-sqr_binary64` `cancel-sign-sub_binary64` `count-2_binary64` `associate--l-_binary64`

Counts

87 → 69

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	174	1768
1	522	1667
2	1971	1661
3	4520	1637
4	5407	1637

prune43.0ms (0.7%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	66	3	69
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	67	3	70

Error

0.1b

Counts

70 → 3

Compiler

Compiled 860 to 511 computations (40.6% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 y (+.f64 y 1))
0.0b	(*.f64 (/.f64 y (+.f64 y 1)) (-.f64 1 x))
3.1b	(-.f64 1 (*.f64 (/.f64 y (+.f64 y 1)) (-.f64 1 x)))

rewrite129.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

42×	`*-un-lft-identity_binary64`
33×	`add-sqr-sqrt_binary64`
25×	`add-cube-cbrt_binary64` `times-frac_binary64`
18×	`associate-l_binary64`
13×	`cancel-sign-sub-inv_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`distribute-rgt-in_binary64` `associate--r+_binary64` `distribute-lft-in_binary64`
7×	`distribute-lft-out_binary64`
6×	`associate-r_binary64`
5×	`add-log-exp_binary64` `pow1_binary64` `sub-neg_binary64`
4×	`associate-/r/_binary64` `associate-/r*_binary64`
3×	`flip3--_binary64` `flip--_binary64` `associate-/l*_binary64`
2×	`div-exp_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `frac-times_binary64` `unswap-sqr_binary64` `associate-*r/_binary64` `div-inv_binary64` `flip3-+_binary64` `flip-+_binary64` `difference-of-squares_binary64`
1×	`diff-log_binary64` `pow-prod-down_binary64` `associate-l/_binary64` `distribute-lft-out--_binary64` `-commutative_binary64` `frac-2neg_binary64` `clear-num_binary64`

Counts

3 → 105

Calls

3 calls:

14.0ms	(*.f64 (/.f64 y (+.f64 y 1)) (-.f64 1 x))
6.0ms	(/.f64 y (+.f64 y 1))
4.0ms	(-.f64 1 (*.f64 (/.f64 y (+.f64 y 1)) (-.f64 1 x)))

Compiler

Compiled 1926 to 1361 computations (29.3% saved)

series104.0ms (1.8%)

Error

0.1b

Counts

3 → 48

Calls

3 calls:

33.0ms	(-.f64 1 (*.f64 (/.f64 y (+.f64 y 1)) (-.f64 1 x)))
33.0ms	(*.f64 (/.f64 y (+.f64 y 1)) (-.f64 1 x))
12.0ms	(/.f64 y (+.f64 y 1))

Compiler

Compiled 1275 to 993 computations (22.1% saved)

simplify125.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

664×	`times-frac_binary64`
434×	`distribute-rgt-in_binary64`
396×	`cancel-sign-sub-inv_binary64`
272×	`sub-neg_binary64`
153×	`distribute-rgt-neg-in_binary64`
146×	`exp-prod_binary64`
117×	`distribute-lft-neg-in_binary64`
115×	`+-commutative_binary64`
111×	`associate-l_binary64`
103×	`associate--l+_binary64`
102×	`distribute-neg-in_binary64`
88×	`associate-r_binary64`
84×	`associate--r+_binary64`
78×	`*-commutative_binary64`
72×	`associate-+l+_binary64`
71×	`associate-*l/_binary64`
68×	`neg-sub0_binary64`
67×	`distribute-neg-frac_binary64`
66×	`unsub-neg_binary64`
65×	`neg-mul-1_binary64` `associate-/l*_binary64`
63×	`distribute-lft-in_binary64`
61×	`cube-prod_binary64`
59×	`distribute-rgt-out_binary64`
58×	`distribute-lft-neg-out_binary64`
55×	`associate-+r+_binary64`
51×	`distribute-rgt-neg-out_binary64`
42×	`log-prod_binary64` `associate-*r/_binary64`
41×	`*-lft-identity_binary64`
40×	`unswap-sqr_binary64`
39×	`distribute-rgt-out--_binary64`
37×	`*-rgt-identity_binary64`
35×	`exp-sum_binary64`
28×	`sqr-pow_binary64`
26×	`distribute-rgt1-in_binary64` `associate-/r*_binary64`
16×	`log-div_binary64` `exp-diff_binary64` `cube-div_binary64`
15×	`associate-/l/_binary64`
13×	`distribute-lft-out_binary64`
12×	`unpow3_binary64` `/-rgt-identity_binary64` `swap-sqr_binary64`
11×	`div-sub_binary64`
10×	`exp-neg_binary64` `distribute-lft-out--_binary64`
9×	`associate-/r/_binary64`
6×	`cube-mult_binary64` `difference-of-squares_binary64`
5×	`cube-unmult_binary64`
4×	`associate-+r-_binary64`
3×	`log-rec_binary64` `unpow1/2_binary64` `distribute-lft1-in_binary64` `associate-+l-_binary64`
2×	`log-pow_binary64` `pow-plus_binary64` `rem-sqrt-square_binary64` `mul-1-neg_binary64` `+-rgt-identity_binary64`
1×	`unpow2_binary64` `unpow1_binary64` `div-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-lft_binary64` `rem-square-sqrt_binary64` `remove-double-neg_binary64` `div0_binary64` `pow-sqr_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_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-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `rec-exp_binary64` `prod-exp_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `count-2_binary64` `associate--r-_binary64` `associate--l-_binary64`

Counts

153 → 134

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	234	2655
1	629	2521
2	2129	2490
3	4645	2490
4	4963	2490

prune97.0ms (1.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	134	0	134
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	134	3	137

Error

0.1b

Counts

137 → 3

Compiler

Compiled 1856 to 1242 computations (33.1% saved)

localize17.0ms (0.3%)

Local error

Found 4 expressions with local error:

3.1b	(+.f64 1 (/.f64 (/.f64 (-.f64 (.f64 y x) y) (+.f64 y 1)) (/.f64 (+.f64 y 1) (-.f64 y (.f64 y x)))))
6.3b	(/.f64 (-.f64 (*.f64 y x) y) (+.f64 y 1))
6.4b	(/.f64 (+.f64 y 1) (-.f64 y (*.f64 y x)))
7.8b	(/.f64 (+.f64 1 (/.f64 (/.f64 (-.f64 (.f64 y x) y) (+.f64 y 1)) (/.f64 (+.f64 y 1) (-.f64 y (.f64 y x))))) (+.f64 1 (*.f64 (/.f64 y (+.f64 y 1)) (-.f64 1 x))))

rewrite379.0ms (6.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

57×	`*-un-lft-identity_binary64`
36×	`times-frac_binary64`
31×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
13×	`distribute-lft-out_binary64`
11×	`associate-/l*_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-/r*_binary64`
6×	`add-log-exp_binary64` `div-sub_binary64` `associate-/l/_binary64` `associate-/r/_binary64`
5×	`flip3-+_binary64` `flip-+_binary64`
4×	`pow1_binary64`
3×	`div-exp_binary64` `cbrt-undiv_binary64` `frac-2neg_binary64` `clear-num_binary64` `div-inv_binary64`
2×	`associate-+r-_binary64` `flip3--_binary64` `flip--_binary64`
1×	`sum-log_binary64` `+-commutative_binary64`

Counts

4 → 120

Calls

4 calls:

96.0ms	(/.f64 (+.f64 1 (/.f64 (/.f64 (-.f64 (.f64 y x) y) (+.f64 y 1)) (/.f64 (+.f64 y 1) (-.f64 y (.f64 y x))))) (+.f64 1 (*.f64 (/.f64 y (+.f64 y 1)) (-.f64 1 x))))
91.0ms	(+.f64 1 (/.f64 (/.f64 (-.f64 (.f64 y x) y) (+.f64 y 1)) (/.f64 (+.f64 y 1) (-.f64 y (.f64 y x)))))
8.0ms	(/.f64 (-.f64 (*.f64 y x) y) (+.f64 y 1))
7.0ms	(/.f64 (+.f64 y 1) (-.f64 y (*.f64 y x)))

Compiler

Compiled 5271 to 2895 computations (45.1% saved)

series500.0ms (8.5%)

Error

0.1b

Counts

4 → 75

Calls

4 calls:

219.0ms	(/.f64 (+.f64 1 (/.f64 (/.f64 (-.f64 (.f64 y x) y) (+.f64 y 1)) (/.f64 (+.f64 y 1) (-.f64 y (.f64 y x))))) (+.f64 1 (*.f64 (/.f64 y (+.f64 y 1)) (-.f64 1 x))))
111.0ms	(+.f64 1 (/.f64 (/.f64 (-.f64 (.f64 y x) y) (+.f64 y 1)) (/.f64 (+.f64 y 1) (-.f64 y (.f64 y x)))))
43.0ms	(/.f64 (+.f64 y 1) (-.f64 y (*.f64 y x)))
39.0ms	(/.f64 (-.f64 (*.f64 y x) y) (+.f64 y 1))

Compiler

Compiled 8287 to 6340 computations (23.5% saved)

simplify217.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

369×	`associate-/r*_binary64`
264×	`times-frac_binary64`
228×	`associate-/l*_binary64`
177×	`associate-r_binary64`
172×	`+-commutative_binary64`
154×	`associate-l_binary64`
147×	`associate-*r/_binary64`
142×	`distribute-rgt-in_binary64`
141×	`sub-neg_binary64` `associate-*l/_binary64`
127×	`distribute-lft-in_binary64`
120×	`associate-+r+_binary64`
94×	`*-commutative_binary64`
87×	`distribute-neg-in_binary64`
77×	`associate-/l/_binary64`
71×	`cancel-sign-sub-inv_binary64`
69×	`associate-/r/_binary64`
57×	`div-sub_binary64`
55×	`neg-sub0_binary64`
51×	`neg-mul-1_binary64`
42×	`cube-prod_binary64`
33×	`sqr-pow_binary64`
27×	`distribute-rgt-out_binary64`
26×	`distribute-rgt-neg-in_binary64` `associate--l+_binary64`
25×	`cube-div_binary64`
24×	`associate--r+_binary64`
21×	`log-prod_binary64`
19×	`distribute-lft-neg-in_binary64`
18×	`distribute-neg-frac_binary64`
15×	`exp-prod_binary64` `unswap-sqr_binary64`
13×	`unpow3_binary64`
11×	`cube-mult_binary64` `/-rgt-identity_binary64`
9×	`swap-sqr_binary64` `distribute-lft-out_binary64`
8×	`-rgt-identity_binary64` `-lft-identity_binary64`
6×	`log-div_binary64` `cube-unmult_binary64` `unsub-neg_binary64` `distribute-rgt1-in_binary64`
5×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64`
4×	`exp-diff_binary64` `exp-sum_binary64` `mul-1-neg_binary64` `distribute-lft-neg-out_binary64` `distribute-rgt-out--_binary64`
2×	`difference-of-squares_binary64` `associate-+r-_binary64`
1×	`log-pow_binary64` `pow-plus_binary64` `prod-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-sqrt-square_binary64` `difference-of-sqr-1_binary64` `distribute-lft-out--_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-rec_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `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` `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` `difference-of-sqr--1_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft1-in_binary64` `count-2_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate-+l-_binary64` `associate-+l+_binary64`

Counts

195 → 183

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	578	9696
1	1708	9009
2	4848	8991
3	5032	8991

prune211.0ms (3.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	181	2	183
Fresh	0	1	1
Picked	1	0	1
Done	0	1	1
Total	182	4	186

Error

0.0b

Counts

186 → 4

Compiler

Compiled 7149 to 4135 computations (42.2% saved)

localize23.0ms (0.4%)

Local error

Found 4 expressions with local error:

7.1b	(.f64 (/.f64 (.f64 x y) (pow.f64 (+.f64 1 y) 2)) (-.f64 y (*.f64 x y)))
7.8b	(/.f64 (+.f64 1 (.f64 (/.f64 (.f64 x y) (pow.f64 (+.f64 1 y) 2)) (-.f64 y (.f64 x y)))) (+.f64 1 (.f64 (/.f64 y (+.f64 1 y)) (-.f64 1 x))))
10.5b	(/.f64 (*.f64 x y) (pow.f64 (+.f64 1 y) 2))
14.7b	(/.f64 (pow.f64 (+.f64 1 y) 2) (-.f64 y (*.f64 x y)))

rewrite400.0ms (6.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

67×	`*-un-lft-identity_binary64`
63×	`times-frac_binary64`
45×	`add-exp-log_binary64`
42×	`add-sqr-sqrt_binary64`
40×	`add-cube-cbrt_binary64`
32×	`unpow-prod-down_binary64`
22×	`add-cbrt-cube_binary64`
16×	`div-exp_binary64` `associate-/r*_binary64`
13×	`associate-/l_binary64` `prod-exp_binary64` `associate-l*_binary64`
11×	`distribute-rgt-out--_binary64`
8×	`distribute-lft-out_binary64` `unpow2_binary64` `sqr-pow_binary64`
6×	`pow1_binary64` `cbrt-undiv_binary64`
5×	`pow-to-exp_binary64` `pow-exp_binary64` `cbrt-unprod_binary64`
4×	`add-log-exp_binary64` `div-inv_binary64` `associate-/r/_binary64` `associate-r_binary64`
3×	`frac-2neg_binary64` `clear-num_binary64` `flip3--_binary64` `flip--_binary64`
2×	`flip3-+_binary64` `associate-/l/_binary64` `flip-+_binary64` `frac-times_binary64` `sub-neg_binary64` `distribute-rgt-in_binary64` `cancel-sign-sub-inv_binary64` `distribute-lft-in_binary64` `associate-*r/_binary64`
1×	`pow-prod-down_binary64` `unswap-sqr_binary64` `associate-l/_binary64` `-commutative_binary64`

Counts

4 → 179

Calls

4 calls:

14.0ms	(.f64 (/.f64 (.f64 x y) (pow.f64 (+.f64 1 y) 2)) (-.f64 y (*.f64 x y)))
9.0ms	(/.f64 (pow.f64 (+.f64 1 y) 2) (-.f64 y (*.f64 x y)))
8.0ms	(/.f64 (*.f64 x y) (pow.f64 (+.f64 1 y) 2))
8.0ms	(/.f64 (+.f64 1 (.f64 (/.f64 (.f64 x y) (pow.f64 (+.f64 1 y) 2)) (-.f64 y (.f64 x y)))) (+.f64 1 (.f64 (/.f64 y (+.f64 1 y)) (-.f64 1 x))))

Compiler

Compiled 11114 to 6731 computations (39.4% saved)

series496.0ms (8.5%)

Error

0.0b

Counts

4 → 62

Calls

4 calls:

212.0ms	(/.f64 (+.f64 1 (.f64 (/.f64 (.f64 x y) (pow.f64 (+.f64 1 y) 2)) (-.f64 y (.f64 x y)))) (+.f64 1 (.f64 (/.f64 y (+.f64 1 y)) (-.f64 1 x))))
71.0ms	(.f64 (/.f64 (.f64 x y) (pow.f64 (+.f64 1 y) 2)) (-.f64 y (*.f64 x y)))
64.0ms	(/.f64 (pow.f64 (+.f64 1 y) 2) (-.f64 y (*.f64 x y)))
41.0ms	(/.f64 (*.f64 x y) (pow.f64 (+.f64 1 y) 2))

Compiler

Compiled 10499 to 7629 computations (27.3% saved)

simplify229.0ms (3.9%)

Algorithm

1×	egg-herbie

Rules

405×	`times-frac_binary64`
338×	`associate-/r*_binary64`
337×	`associate-/l*_binary64`
269×	`associate-l_binary64`
197×	`associate-*l/_binary64`
151×	`associate-*r/_binary64`
145×	`+-commutative_binary64`
117×	`distribute-rgt-in_binary64` `*-commutative_binary64`
108×	`associate-/l/_binary64`
103×	`distribute-lft-in_binary64`
100×	`associate-+r+_binary64`
96×	`sub-neg_binary64`
82×	`cancel-sign-sub-inv_binary64`
81×	`associate-/r/_binary64`
48×	`distribute-neg-in_binary64`
47×	`neg-sub0_binary64`
43×	`neg-mul-1_binary64` `sqr-pow_binary64`
41×	`log-div_binary64`
40×	`distribute-rgt-neg-in_binary64`
35×	`unswap-sqr_binary64`
34×	`distribute-lft-neg-in_binary64`
24×	`associate-r_binary64`
22×	`distribute-neg-frac_binary64`
18×	`associate--l+_binary64`
14×	`distribute-rgt-out_binary64`
12×	`/-rgt-identity_binary64` `associate--r+_binary64`
10×	`div-sub_binary64`
9×	`unpow3_binary64` `unpow2_binary64` `cube-mult_binary64` `swap-sqr_binary64`
8×	`log-prod_binary64` `unpow1_binary64` `cube-unmult_binary64`
7×	`log-pow_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `distribute-lft-neg-out_binary64`
6×	`exp-prod_binary64` `cube-div_binary64`
5×	`unsub-neg_binary64` `mul-1-neg_binary64` `distribute-rgt1-in_binary64` `distribute-rgt-out--_binary64`
4×	`cube-prod_binary64` `associate-+l-_binary64`
3×	`distribute-rgt-neg-out_binary64`
2×	`rem-sqrt-square_binary64` `pow-sqr_binary64` `difference-of-squares_binary64`
1×	`log-rec_binary64` `unpow1/2_binary64` `1-exp_binary64` `rem-square-sqrt_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_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` `pow-base-0_binary64` `unpow1/3_binary64` `pow-plus_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `exp-sum_binary64` `e-exp-1_binary64` `exp-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` `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-lft1-in_binary64` `count-2_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate-+l+_binary64`

Counts

241 → 198

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	613	10224
1	1640	9363
2	4972	9363
3	5000	9363

prune291.0ms (5%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	198	0	198
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	198	4	202

Error

0.0b

Counts

202 → 4

Compiler

Compiled 10083 to 6295 computations (37.6% saved)

regimes900.0ms (15.4%)

Accuracy

Total 0.3b remaining (90.7%)

Threshold costs 0.3b (90.7%)

Compiler

Compiled 10397 to 8026 computations (22.8% saved)

bsearch3.0ms (0.1%)

Compiler: Compiled 9 to 8 computations (11.1% saved)

simplify19.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

47×	`distribute-rgt-neg-in_binary64`
41×	`cancel-sign-sub-inv_binary64`
32×	`neg-mul-1_binary64` `neg-sub0_binary64`
30×	`distribute-lft-neg-in_binary64`
28×	`distribute-lft-neg-out_binary64`
27×	`distribute-neg-in_binary64`
24×	`distribute-rgt-neg-out_binary64` `+-commutative_binary64`
23×	`sub-neg_binary64`
18×	`*-commutative_binary64`
12×	`unsub-neg_binary64`
7×	`distribute-frac-neg_binary64`
6×	`remove-double-neg_binary64`
5×	`distribute-neg-frac_binary64`
1×	`1-exp_binary64` `sqr-neg_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` `mul-1-neg_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `cancel-sign-sub_binary64` `distribute-neg-out_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	111
1	54	111
2	75	111
3	102	111
4	131	111
5	151	111
6	176	111
7	196	111
8	213	111
9	230	111
10	252	111
11	265	111
12	282	111
13	297	111
14	306	111
15	308	111
16	304	111

end2.0ms (0%)

Compiler: Compiled 75 to 52 computations (30.7% saved)

sample814.0ms (13.9%)

Algorithm

1×

intervals

Results

212.0ms	6336×	body	128	valid
67.0ms	591×	body	1024	valid
59.0ms	639×	body	512	valid
25.0ms	428×	body	256	valid
1.0ms	6×	body	2048	valid

Compiler

Compiled 304 to 215 computations (29.3% saved)

Iter	Nodes	Cost
0	36	111
1	54	111
2	75	111
3	102	111
4	131	111
5	151	111
6	176	111
7	196	111
8	213	111
9	230	111
10	252	111
11	265	111
12	282	111
13	297	111
14	306	111
15	308	111
16	304	111

Iter	Nodes	Cost
0	36	111
1	54	111
2	75	111
3	102	111
4	131	111
5	151	111
6	176	111
7	196	111
8	213	111
9	230	111
10	252	111
11	265	111
12	282	111
13	297	111
14	306	111
15	308	111
16	304	111

Details

analyze349.0ms (6%)

sample19.0ms (0.3%)

simplify196.0ms (3.3%)

prune2.0ms (0%)

localize10.0ms (0.2%)

rewrite89.0ms (1.5%)

series93.0ms (1.6%)

simplify96.0ms (1.6%)

prune43.0ms (0.7%)

localize7.0ms (0.1%)

rewrite129.0ms (2.2%)

series104.0ms (1.8%)

simplify125.0ms (2.1%)

prune97.0ms (1.7%)

localize17.0ms (0.3%)

rewrite379.0ms (6.5%)

series500.0ms (8.5%)

simplify217.0ms (3.7%)

prune211.0ms (3.6%)

localize23.0ms (0.4%)

rewrite400.0ms (6.8%)

series496.0ms (8.5%)

simplify229.0ms (3.9%)

prune291.0ms (5%)

regimes900.0ms (15.4%)

bsearch3.0ms (0.1%)

simplify19.0ms (0.3%)

end2.0ms (0%)

sample814.0ms (13.9%)

Profiling

Iter	Nodes	Cost
0	36	111
1	54	111
2	75	111
3	102	111
4	131	111
5	151	111
6	176	111
7	196	111
8	213	111
9	230	111
10	252	111
11	265	111
12	282	111
13	297	111
14	306	111
15	308	111
16	304	111