Details

analyze655.0ms (7.8%)

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)

sample33.0ms (0.4%)

Algorithm

1×

intervals

Results

10.0ms	193×	body	128	valid
4.0ms	21×	body	1024	valid
3.0ms	21×	body	512	valid
2.0ms	21×	body	256	valid

Compiler

Compiled 23 to 23 computations (0% saved)

simplify361.0ms (4.3%)

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

prune4.0ms (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

24.8b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize15.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 (-.f64 1 x) y)
3.1b	(-.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1)))
7.5b	(/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1))

rewrite285.0ms (3.4%)

Algorithm

1×	rewrite-expression-head

Error

16.3b

Rules

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

Counts

3 → 74

Calls

3 calls:

21.0ms	(-.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1)))
17.0ms	(/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1))
12.0ms	(*.f64 (-.f64 1 x) y)

Compiler

Compiled 1343 to 1001 computations (25.5% saved)

series217.0ms (2.6%)

Error

0.0b

Counts

3 → 45

Calls

3 calls:

66.0ms	(-.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1)))
59.0ms	(/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1))
30.0ms	(*.f64 (-.f64 1 x) y)

Compiler

Compiled 1191 to 911 computations (23.5% saved)

simplify201.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

387×	`distribute-rgt-in_binary64`
370×	`cancel-sign-sub-inv_binary64`
358×	`div-sub_binary64`
320×	`distribute-lft-in_binary64`
273×	`sub-neg_binary64`
159×	`distribute-rgt-neg-in_binary64`
125×	`distribute-neg-frac_binary64` `distribute-lft-neg-in_binary64`
107×	`exp-prod_binary64` `associate-/l*_binary64` `+-commutative_binary64`
100×	`distribute-neg-in_binary64`
93×	`associate--l+_binary64`
88×	`associate-l_binary64`
83×	`associate-r_binary64`
79×	`neg-sub0_binary64`
78×	`exp-sum_binary64`
77×	`associate--r+_binary64`
75×	`neg-mul-1_binary64`
69×	`associate-+l+_binary64`
65×	`times-frac_binary64` `*-commutative_binary64`
62×	`unsub-neg_binary64`
58×	`distribute-lft-neg-out_binary64`
54×	`associate-+r+_binary64`
53×	`distribute-rgt-out_binary64` `associate-*l/_binary64`
45×	`associate-/r*_binary64`
40×	`log-prod_binary64`
39×	`cube-div_binary64` `cube-prod_binary64`
37×	`log-div_binary64` `associate-*r/_binary64`
35×	`distribute-rgt-neg-out_binary64`
33×	`distribute-rgt-out--_binary64`
32×	`*-rgt-identity_binary64`
30×	`exp-diff_binary64`
29×	`sqr-pow_binary64`
24×	`associate-/l/_binary64`
22×	`*-lft-identity_binary64` `distribute-rgt1-in_binary64`
21×	`unpow3_binary64`
19×	`swap-sqr_binary64`
18×	`unswap-sqr_binary64`
16×	`cube-mult_binary64`
13×	`/-rgt-identity_binary64` `associate-/r/_binary64`
9×	`distribute-lft-out_binary64`
8×	`log-rec_binary64`
6×	`distribute-lft-out--_binary64`
5×	`cube-unmult_binary64` `div0_binary64`
4×	`distribute-frac-neg_binary64` `distribute-neg-out_binary64`
3×	`log-pow_binary64` `unpow1/2_binary64` `sqr-neg_binary64` `mul-1-neg_binary64` `difference-of-squares_binary64` `associate--r-_binary64`
2×	`pow-plus_binary64` `exp-neg_binary64` `rem-sqrt-square_binary64` `sub0-neg_binary64`
1×	`unpow2_binary64` `unpow1_binary64` `div-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `cube-neg_binary64` `rem-3cbrt-lft_binary64` `rem-square-sqrt_binary64` `remove-double-neg_binary64` `remove-double-div_binary64` `pow-sqr_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` `rem-3cbrt-rft_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` `cancel-sign-sub_binary64` `count-2_binary64` `associate--l-_binary64`

Counts

119 → 94

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	199	2101
1	578	1970
2	2142	1964
3	4571	1940
4	5272	1940

prune119.0ms (1.4%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	90	4	94
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	91	4	95

Error

0.0b

Counts

95 → 4

Compiler

Compiled 1132 to 683 computations (39.7% saved)

localize14.0ms (0.2%)

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)))

rewrite240.0ms (2.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

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:

23.0ms	(*.f64 (/.f64 y (+.f64 y 1)) (-.f64 1 x))
9.0ms	(/.f64 y (+.f64 y 1))
8.0ms	(-.f64 1 (*.f64 (/.f64 y (+.f64 y 1)) (-.f64 1 x)))

Compiler

Compiled 1926 to 1361 computations (29.3% saved)

series197.0ms (2.3%)

Error

0.0b

Counts

3 → 48

Calls

3 calls:

65.0ms	(-.f64 1 (*.f64 (/.f64 y (+.f64 y 1)) (-.f64 1 x)))
65.0ms	(*.f64 (/.f64 y (+.f64 y 1)) (-.f64 1 x))
23.0ms	(/.f64 y (+.f64 y 1))

Compiler

Compiled 1275 to 993 computations (22.1% saved)

simplify235.0ms (2.8%)

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

prune183.0ms (2.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	133	1	134
Fresh	1	2	3
Picked	0	1	1
Done	0	0	0
Total	134	4	138

Error

0.0b

Counts

138 → 4

Compiler

Compiled 1835 to 1231 computations (32.9% saved)

localize15.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (+.f64 x -1) (+.f64 1 y))
0.1b	(*.f64 y (/.f64 (+.f64 x -1) (+.f64 1 y)))
6.2b	(+.f64 1 (*.f64 y (/.f64 (+.f64 x -1) (+.f64 1 y))))

rewrite207.0ms (2.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

65×	`*-un-lft-identity_binary64`
41×	`times-frac_binary64`
39×	`add-sqr-sqrt_binary64`
26×	`associate-r_binary64`
25×	`add-cube-cbrt_binary64`
20×	`distribute-lft-out_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`difference-of-sqr--1_binary64`
5×	`add-log-exp_binary64` `pow1_binary64` `associate-/l*_binary64`
4×	`flip3-+_binary64` `flip-+_binary64` `associate-/r/_binary64` `associate-/r*_binary64`
3×	`associate-l_binary64`
2×	`div-exp_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `div-inv_binary64` `associate-/l/_binary64`
1×	`sum-log_binary64` `+-commutative_binary64` `pow-prod-down_binary64` `associate-r/_binary64` `-commutative_binary64` `frac-2neg_binary64` `clear-num_binary64`

Counts

3 → 101

Calls

3 calls:

24.0ms	(*.f64 y (/.f64 (+.f64 x -1) (+.f64 1 y)))
14.0ms	(/.f64 (+.f64 x -1) (+.f64 1 y))
6.0ms	(+.f64 1 (*.f64 y (/.f64 (+.f64 x -1) (+.f64 1 y))))

Compiler

Compiled 1704 to 1282 computations (24.8% saved)

series242.0ms (2.9%)

Error

0.0b

Counts

3 → 54

Calls

3 calls:

64.0ms	(+.f64 1 (*.f64 y (/.f64 (+.f64 x -1) (+.f64 1 y))))
59.0ms	(*.f64 y (/.f64 (+.f64 x -1) (+.f64 1 y)))
58.0ms	(/.f64 (+.f64 x -1) (+.f64 1 y))

Compiler

Compiled 1646 to 1238 computations (24.8% saved)

simplify296.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

372×	`distribute-rgt-in_binary64`
339×	`sub-neg_binary64`
283×	`times-frac_binary64`
280×	`distribute-lft-in_binary64`
269×	`associate-/l*_binary64`
252×	`cancel-sign-sub-inv_binary64`
221×	`div-sub_binary64`
133×	`distribute-neg-in_binary64`
123×	`+-commutative_binary64`
121×	`associate--l+_binary64`
110×	`neg-mul-1_binary64` `associate-l_binary64` `associate--r+_binary64`
92×	`associate-r_binary64`
91×	`associate-/l/_binary64`
88×	`associate-+l+_binary64`
75×	`*-commutative_binary64`
71×	`unsub-neg_binary64`
65×	`associate-+r+_binary64`
61×	`neg-sub0_binary64` `associate-*r/_binary64`
57×	`associate-/r/_binary64`
56×	`distribute-rgt-neg-in_binary64`
48×	`distribute-rgt-out_binary64`
47×	`log-div_binary64`
41×	`log-prod_binary64` `distribute-neg-frac_binary64`
40×	`cube-prod_binary64`
38×	`associate-*l/_binary64`
36×	`unswap-sqr_binary64` `distribute-lft-neg-in_binary64`
32×	`*-rgt-identity_binary64`
31×	`-lft-identity_binary64` `associate-/r_binary64`
29×	`distribute-rgt-out--_binary64`
25×	`sqr-pow_binary64`
24×	`exp-prod_binary64`
21×	`distribute-lft-neg-out_binary64`
20×	`distribute-rgt1-in_binary64`
19×	`cube-div_binary64`
15×	`exp-sum_binary64`
13×	`log-rec_binary64`
9×	`/-rgt-identity_binary64` `swap-sqr_binary64`
7×	`unpow3_binary64` `mul-1-neg_binary64`
5×	`cube-unmult_binary64` `distribute-rgt-neg-out_binary64`
4×	`exp-diff_binary64` `cube-mult_binary64` `distribute-lft-out--_binary64` `associate-+r-_binary64`
3×	`log-pow_binary64` `unpow1/2_binary64` `pow-sqr_binary64` `distribute-lft1-in_binary64` `distribute-lft-out_binary64` `associate-+l-_binary64`
2×	`pow-plus_binary64` `sqr-neg_binary64` `difference-of-squares_binary64`
1×	`unpow2_binary64` `unpow1_binary64` `prod-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `cube-neg_binary64` `rem-sqrt-square_binary64` `+-rgt-identity_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` `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` `remove-double-neg_binary64` `sub0-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` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `count-2_binary64` `associate--r-_binary64` `associate--l-_binary64`

Counts

155 → 136

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	224	3051
1	628	2884
2	2130	2825
3	4470	2825
4	4980	2825
5	4969	2825

prune167.0ms (2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	136	0	136
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	136	4	140

Error

0.0b

Counts

140 → 4

Compiler

Compiled 1851 to 1267 computations (31.6% saved)

localize24.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b	(/.f64 1 (*.f64 y y))
2.8b	(+.f64 (/.f64 x y) (/.f64 1 (*.f64 y y)))
6.2b	(-.f64 (+.f64 x (+.f64 (/.f64 1 y) (/.f64 x (.f64 y y)))) (+.f64 (/.f64 x y) (/.f64 1 (.f64 y y))))
7.2b	(/.f64 x (*.f64 y y))

rewrite287.0ms (3.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

57×	`*-un-lft-identity_binary64`
27×	`add-log-exp_binary64` `distribute-lft-out_binary64`
20×	`add-exp-log_binary64`
14×	`add-cbrt-cube_binary64`
13×	`div-inv_binary64`
12×	`pow1_binary64` `distribute-lft-out--_binary64`
11×	`add-sqr-sqrt_binary64`
10×	`sum-log_binary64`
9×	`add-cube-cbrt_binary64`
8×	`times-frac_binary64`
6×	`div-exp_binary64` `associate-/l*_binary64` `diff-log_binary64` `flip3-+_binary64` `frac-sub_binary64` `flip-+_binary64` `cancel-sign-sub-inv_binary64` `pow-flip_binary64`
4×	`prod-exp_binary64` `cbrt-undiv_binary64`
3×	`frac-add_binary64`
2×	`cbrt-unprod_binary64` `frac-2neg_binary64` `clear-num_binary64` `associate-/r*_binary64` `distribute-rgt-out_binary64` `1-exp_binary64` `rec-exp_binary64`
1×	`flip3--_binary64` `sub-neg_binary64` `flip--_binary64` `difference-of-squares_binary64` `associate--l+_binary64` `associate--r+_binary64` `+-commutative_binary64` `inv-pow_binary64` `pow2_binary64` `pow-prod-down_binary64` `pow-prod-up_binary64` `pow-plus_binary64` `pow-sqr_binary64`

Counts

4 → 111

Calls

4 calls:

52.0ms	(-.f64 (+.f64 x (+.f64 (/.f64 1 y) (/.f64 x (.f64 y y)))) (+.f64 (/.f64 x y) (/.f64 1 (.f64 y y))))
23.0ms	(+.f64 (/.f64 x y) (/.f64 1 (*.f64 y y)))
9.0ms	(/.f64 1 (*.f64 y y))
8.0ms	(/.f64 x (*.f64 y y))

Compiler

Compiled 3120 to 1317 computations (57.8% saved)

series233.0ms (2.8%)

Error

0.0b

Counts

4 → 36

Calls

4 calls:

95.0ms	(-.f64 (+.f64 x (+.f64 (/.f64 1 y) (/.f64 x (.f64 y y)))) (+.f64 (/.f64 x y) (/.f64 1 (.f64 y y))))
60.0ms	(+.f64 (/.f64 x y) (/.f64 1 (*.f64 y y)))
38.0ms	(/.f64 x (*.f64 y y))
14.0ms	(/.f64 1 (*.f64 y y))

Compiler

Compiled 1269 to 909 computations (28.4% saved)

simplify257.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

400×	`associate-/l*_binary64`
375×	`associate-/r*_binary64`
177×	`associate-/r/_binary64`
174×	`distribute-rgt-in_binary64`
165×	`distribute-lft-in_binary64`
159×	`associate--l+_binary64`
153×	`cancel-sign-sub-inv_binary64`
130×	`associate-/l/_binary64`
127×	`sub-neg_binary64`
125×	`div-sub_binary64`
123×	`distribute-neg-in_binary64`
120×	`distribute-rgt-neg-in_binary64`
98×	`distribute-lft-neg-in_binary64`
95×	`exp-prod_binary64`
90×	`*-commutative_binary64`
83×	`exp-sum_binary64`
80×	`associate-r_binary64`
76×	`div-exp_binary64`
74×	`distribute-lft-neg-out_binary64`
71×	`associate-l_binary64`
70×	`associate-l/_binary64` `associate-r/_binary64`
69×	`times-frac_binary64`
60×	`+-commutative_binary64`
59×	`distribute-rgt-neg-out_binary64`
57×	`neg-mul-1_binary64`
55×	`neg-sub0_binary64`
53×	`distribute-neg-frac_binary64`
52×	`distribute-rgt-out_binary64`
40×	`log-div_binary64` `associate-+l+_binary64`
38×	`distribute-rgt-out--_binary64`
36×	`cube-div_binary64` `associate--r+_binary64`
34×	`unswap-sqr_binary64`
32×	`cube-prod_binary64`
31×	`associate-+r+_binary64`
28×	`sqr-pow_binary64`
27×	`unsub-neg_binary64`
25×	`log-prod_binary64` `prod-exp_binary64` `exp-diff_binary64`
20×	`*-rgt-identity_binary64`
18×	`distribute-rgt1-in_binary64`
14×	`swap-sqr_binary64` `associate-+r-_binary64`
12×	`unpow3_binary64` `*-lft-identity_binary64`
9×	`/-rgt-identity_binary64`
7×	`log-rec_binary64` `cube-unmult_binary64` `cube-mult_binary64` `associate--r-_binary64`
6×	`pow-plus_binary64` `+-rgt-identity_binary64` `distribute-lft-out_binary64`
5×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
3×	`log-pow_binary64` `rem-sqrt-square_binary64` `count-2_binary64`
2×	`+-lft-identity_binary64` `distribute-lft1-in_binary64` `associate--l-_binary64` `associate-+l-_binary64`
1×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `1-exp_binary64` `exp-1-e_binary64` `cube-neg_binary64` `rem-3cbrt-lft_binary64` `sqr-neg_binary64` `rem-square-sqrt_binary64` `mul-1-neg_binary64` `remove-double-neg_binary64` `pow-sqr_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` `exp-neg_binary64` `e-exp-1_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` `sub0-neg_binary64` `--rgt-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64`

Counts

147 → 112

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	197	3413
1	578	2992
2	2164	2798
3	4586	2791
4	5108	2791

prune104.0ms (1.2%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	111	1	112
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	111	5	116

Error

0.0b

Counts

116 → 5

Compiler

Compiled 1586 to 766 computations (51.7% saved)

regimes2.4s (28%)

Accuracy

Total 0.0b remaining (38.7%)

Threshold costs 0.0b (38.7%)

Compiler

Compiled 10926 to 8924 computations (18.3% saved)

bsearch48.0ms (0.6%)

Steps

Iters	Range		Point
9	32.9280975689916	125828575.38890588	357233.1889861889
5	-44657944569.480415	-21207366123.690342	-21493326675.95675

Compiler

Compiled 1 to 2 computations (-100% saved)

simplify11.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

13×	`+-commutative_binary64`
8×	`sub-neg_binary64`
7×	`*-commutative_binary64`
6×	`neg-mul-1_binary64` `neg-sub0_binary64`
2×	`unsub-neg_binary64` `distribute-neg-frac_binary64` `distribute-neg-in_binary64`
1×	`if-if-or-not_binary64` `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` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `unpow1_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `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-frac-neg_binary64` `distribute-neg-out_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	29	64
1	44	64
2	57	64
3	71	64
4	81	64
5	86	64
6	87	64
7	85	64

end3.0ms (0%)

Compiler: Compiled 43 to 30 computations (30.2% saved)

sample1.4s (16.7%)

Algorithm

1×

intervals

Results

357.0ms	6277×	body	128	valid
132.0ms	597×	body	1024	valid
120.0ms	676×	body	512	valid
49.0ms	445×	body	256	valid
1.0ms	5×	body	2048	valid

Compiler

Compiled 194 to 147 computations (24.2% saved)

Details

analyze655.0ms (7.8%)

sample33.0ms (0.4%)

simplify361.0ms (4.3%)

prune4.0ms (0.1%)

localize15.0ms (0.2%)

rewrite285.0ms (3.4%)

series217.0ms (2.6%)

simplify201.0ms (2.4%)

prune119.0ms (1.4%)

localize14.0ms (0.2%)

rewrite240.0ms (2.9%)

series197.0ms (2.3%)

simplify235.0ms (2.8%)

prune183.0ms (2.2%)

localize15.0ms (0.2%)

rewrite207.0ms (2.5%)

series242.0ms (2.9%)

simplify296.0ms (3.5%)

prune167.0ms (2%)

localize24.0ms (0.3%)

rewrite287.0ms (3.4%)

series233.0ms (2.8%)

simplify257.0ms (3.1%)

prune104.0ms (1.2%)

regimes2.4s (28%)

bsearch48.0ms (0.6%)

simplify11.0ms (0.1%)

end3.0ms (0%)

sample1.4s (16.7%)

Profiling