Details

analyze1.1s (12.4%)

Algorithm

1×	search
2×	egg-herbie

Rules

156×	`times-frac_binary64`
112×	`div-sub_binary64`
110×	`cancel-sign-sub-inv_binary64`
98×	`associate-/r*_binary64`
86×	`associate-/l*_binary64`
82×	`sub-neg_binary64`
66×	`distribute-rgt-in_binary64`
56×	`associate-r_binary64`
54×	`distribute-lft-in_binary64`
52×	`unsub-neg_binary64` `distribute-neg-frac_binary64`
44×	`neg-mul-1_binary64` `associate-/l/_binary64`
42×	`*-commutative_binary64`
38×	`distribute-frac-neg_binary64`
36×	`distribute-rgt-neg-in_binary64`
30×	`neg-sub0_binary64` `associate-*l/_binary64` `associate--r+_binary64`
28×	`distribute-lft-neg-in_binary64` `associate-/r/_binary64` `+-commutative_binary64`
22×	`associate-*r/_binary64`
20×	`mul0-rgt_binary64`
18×	`distribute-lft-neg-out_binary64`
16×	`/-rgt-identity_binary64` `-rgt-identity_binary64` `mul0-lft_binary64` `associate-l*_binary64`
14×	`+-lft-identity_binary64`
12×	`sub0-neg_binary64` `div0_binary64` `associate-+l-_binary64`
10×	`distribute-neg-in_binary64` `distribute-rgt-neg-out_binary64`
8×	`*-lft-identity_binary64`
6×	`remove-double-neg_binary64` `--rgt-identity_binary64` `associate-+l+_binary64`
4×	`tan-neg_binary64` `sin-neg_binary64` `distribute-lft-out--_binary64` `associate--r-_binary64`
2×	`+-rgt-identity_binary64` `associate--l+_binary64` `associate-+r-_binary64` `associate-+r+_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` `cos-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` `mul-1-neg_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `pow-sqr_binary64` `sqr-pow_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `unswap-sqr_binary64` `swap-sqr_binary64` `cancel-sign-sub_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-rgt-out_binary64` `distribute-lft-out_binary64` `count-2_binary64` `associate--l-_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	38
1	41	28
2	82	28
3	135	28
4	189	28
5	239	28
6	252	28
7	322	28
8	303	28
9	323	28
10	345	28
11	472	28
12	691	28
13	603	28
14	607	28
15	619	28
16	615	28
17	546	28
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
0%	99.9%	0.1%	5
12.5%	87.4%	0.1%	6
18.7%	81.2%	0.1%	7
25%	73.4%	1.7%	8
28.1%	68.7%	3.2%	9
31.2%	62.8%	6%	10
32.8%	60.1%	7.1%	11
34.3%	56.7%	9%	12
35.1%	55.2%	9.7%	13
35.9%	53.4%	10.7%	14

Compiler

Compiled 13 to 12 computations (7.7% saved)

sample54.0ms (0.6%)

Algorithm

1×

intervals

Results

20.0ms	77×	body	1024	valid
9.0ms	127×	body	128	valid
5.0ms	29×	body	512	valid
3.0ms	23×	body	256	valid
1.0ms	13×	body	128	invalid

Compiler

Compiled 25 to 25 computations (0% saved)

simplify21.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

27×	`cancel-sign-sub-inv_binary64`
22×	`sub-neg_binary64`
11×	`distribute-rgt-in_binary64` `associate-/l*_binary64`
10×	`neg-mul-1_binary64` `distribute-rgt-neg-in_binary64` `associate--r+_binary64`
8×	`+-commutative_binary64`
7×	`div-sub_binary64` `neg-sub0_binary64` `+-lft-identity_binary64` `associate-/r_binary64` `-commutative_binary64`
6×	`unsub-neg_binary64` `sub0-neg_binary64` `distribute-neg-frac_binary64` `associate-+l-_binary64`
5×	`distribute-lft-in_binary64` `associate-l_binary64`
4×	`-rgt-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `associate-r*_binary64`
3×	`remove-double-neg_binary64` `--rgt-identity_binary64` `distribute-neg-in_binary64` `distribute-lft-neg-out_binary64` `distribute-lft-neg-in_binary64` `associate-/r/_binary64` `associate-*r/_binary64` `associate-+l+_binary64`
2×	`/-rgt-identity_binary64` `*-lft-identity_binary64` `div0_binary64` `distribute-lft-out--_binary64` `associate-/l/_binary64` `associate--r-_binary64`
1×	`1-exp_binary64` `+-rgt-identity_binary64` `distribute-rgt-neg-out_binary64` `associate-*l/_binary64` `associate--l+_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-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` `mul-1-neg_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `pow-sqr_binary64` `sqr-pow_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `unswap-sqr_binary64` `swap-sqr_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-rgt-out_binary64` `distribute-lft-out_binary64` `count-2_binary64` `associate--l-_binary64`

Counts

1 → 1

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	19
1	24	14
2	45	14
3	73	14
4	102	14
5	129	14
6	136	14
7	171	14
8	162	14
9	168	14
10	165	14
11	140	14

prune7.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.1b

Counts

2 → 2

Compiler

Compiled 30 to 27 computations (10% saved)

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
0.1b	(/.f64 1 (sin.f64 B))
0.1b	(/.f64 x (tan.f64 B))

rewrite142.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

43×	`add-sqr-sqrt_binary64`
36×	`times-frac_binary64`
35×	`*-un-lft-identity_binary64`
26×	`add-cube-cbrt_binary64`
14×	`cancel-sign-sub-inv_binary64`
9×	`add-exp-log_binary64`
7×	`add-cbrt-cube_binary64`
6×	`associate-/l_binary64` `associate-/r_binary64` `difference-of-squares_binary64`
5×	`add-log-exp_binary64`
4×	`pow1_binary64` `div-inv_binary64`
3×	`div-exp_binary64` `distribute-lft-out--_binary64`
2×	`cbrt-undiv_binary64` `frac-2neg_binary64` `clear-num_binary64` `tan-quot_binary64` `associate-/r/_binary64`
1×	`inv-pow_binary64` `pow-flip_binary64` `1-exp_binary64` `rec-exp_binary64` `diff-log_binary64` `frac-sub_binary64` `flip3--_binary64` `sub-neg_binary64` `flip--_binary64`

Counts

3 → 94

Calls

3 calls:

15.0ms	(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
5.0ms	(/.f64 x (tan.f64 B))
3.0ms	(/.f64 1 (sin.f64 B))

Compiler

Compiled 1561 to 635 computations (59.3% saved)

series809.0ms (9.2%)

Error

0.1b

Counts

3 → 25

Calls

3 calls:

443.0ms	(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
306.0ms	(/.f64 x (tan.f64 B))
38.0ms	(/.f64 1 (sin.f64 B))

Compiler

Compiled 860 to 563 computations (34.5% saved)

simplify117.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

330×	`associate-/l*_binary64`
315×	`associate-+l+_binary64`
254×	`associate-r_binary64`
249×	`associate-l_binary64`
221×	`associate-+r+_binary64`
211×	`sub-neg_binary64`
198×	`times-frac_binary64`
197×	`associate-*l/_binary64`
179×	`exp-prod_binary64`
168×	`*-commutative_binary64`
158×	`associate-*r/_binary64`
146×	`+-commutative_binary64`
133×	`div-sub_binary64`
115×	`unsub-neg_binary64`
113×	`associate-/r*_binary64`
112×	`associate-/l/_binary64`
106×	`cancel-sign-sub-inv_binary64`
99×	`neg-sub0_binary64`
91×	`neg-mul-1_binary64`
90×	`distribute-rgt-neg-in_binary64`
85×	`associate--l+_binary64`
83×	`distribute-neg-frac_binary64`
73×	`log-prod_binary64`
72×	`log-div_binary64` `cube-div_binary64`
70×	`distribute-lft-neg-in_binary64`
67×	`associate-/r/_binary64`
64×	`distribute-rgt-in_binary64`
57×	`distribute-lft-in_binary64`
54×	`exp-diff_binary64`
51×	`sqr-pow_binary64`
48×	`unswap-sqr_binary64`
38×	`exp-sum_binary64`
37×	`associate-+r-_binary64`
36×	`distribute-lft-neg-out_binary64`
33×	`*-rgt-identity_binary64`
32×	`unpow3_binary64` `cube-prod_binary64`
28×	`associate-+l-_binary64`
27×	`+-rgt-identity_binary64`
25×	`distribute-rgt-neg-out_binary64`
24×	`*-lft-identity_binary64`
23×	`distribute-rgt-out_binary64`
21×	`mul0-rgt_binary64` `mul0-lft_binary64`
20×	`cube-mult_binary64` `sub0-neg_binary64`
18×	`log-rec_binary64` `/-rgt-identity_binary64`
17×	`cube-unmult_binary64`
16×	`distribute-frac-neg_binary64`
15×	`div0_binary64`
13×	`associate--r+_binary64`
12×	`distribute-neg-in_binary64`
11×	`distribute-lft-out_binary64`
10×	`difference-of-squares_binary64`
6×	`associate--l-_binary64`
5×	`mul-1-neg_binary64` `swap-sqr_binary64`
4×	`log-pow_binary64` `pow-plus_binary64`
3×	`unpow1/2_binary64` `rem-square-sqrt_binary64`
2×	`rem-3cbrt-lft_binary64` `rem-sqrt-square_binary64` `+-lft-identity_binary64` `remove-double-div_binary64` `pow-sqr_binary64` `distribute-rgt-out--_binary64`
1×	`div-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-rft_binary64` `sqr-neg_binary64` `--rgt-identity_binary64` `difference-of-sqr-1_binary64` `distribute-rgt1-in_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` `pow-base-0_binary64` `unpow1/3_binary64` `unpow2_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` `rec-exp_binary64` `prod-exp_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `remove-double-neg_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `difference-of-sqr--1_binary64` `cancel-sign-sub_binary64` `distribute-neg-out_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `associate--r-_binary64`

Counts

119 → 57

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	194	1772
1	483	1728
2	1331	1713
3	4050	1707
4	4546	1707
5	4889	1707

prune66.0ms (0.7%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	50	7	57
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	51	8	59

Error

0.0b

Counts

59 → 8

Compiler

Compiled 932 to 438 computations (53% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (sin.f64 B)))
0.1b	(/.f64 1 (sin.f64 B))
0.2b	(/.f64 1 (tan.f64 B))
0.3b	(*.f64 x (/.f64 1 (tan.f64 B)))

rewrite179.0ms (2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

35×	`add-sqr-sqrt_binary64`
32×	`*-un-lft-identity_binary64`
29×	`times-frac_binary64`
28×	`add-cube-cbrt_binary64`
21×	`add-exp-log_binary64`
14×	`associate-r_binary64`
13×	`add-cbrt-cube_binary64`
8×	`pow1_binary64` `add-log-exp_binary64`
6×	`div-exp_binary64` `associate-/l_binary64` `associate-/r_binary64`
4×	`prod-exp_binary64` `div-inv_binary64`
3×	`1-exp_binary64` `rec-exp_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `associate-l_binary64`
2×	`cbrt-unprod_binary64` `un-div-inv_binary64` `associate-*r/_binary64` `tan-quot_binary64` `associate-/r/_binary64` `inv-pow_binary64` `pow-flip_binary64` `frac-2neg_binary64` `clear-num_binary64` `sum-log_binary64` `distribute-neg-frac_binary64` `frac-add_binary64` `distribute-lft-out_binary64`
1×	`pow-prod-down_binary64` `*-commutative_binary64` `neg-log_binary64` `flip3-+_binary64` `flip-+_binary64` `neg-sub0_binary64` `associate-+l-_binary64` `+-commutative_binary64`

Counts

4 → 117

Calls

4 calls:

9.0ms	(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (sin.f64 B)))
8.0ms	(*.f64 x (/.f64 1 (tan.f64 B)))
4.0ms	(/.f64 1 (tan.f64 B))
3.0ms	(/.f64 1 (sin.f64 B))

Compiler

Compiled 2188 to 1318 computations (39.8% saved)

series905.0ms (10.3%)

Error

0.0b

Counts

4 → 31

Calls

4 calls:

442.0ms	(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (sin.f64 B)))
302.0ms	(*.f64 x (/.f64 1 (tan.f64 B)))
93.0ms	(/.f64 1 (tan.f64 B))
37.0ms	(/.f64 1 (sin.f64 B))

Compiler

Compiled 1142 to 783 computations (31.4% saved)

simplify118.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

409×	`div-sub_binary64`
334×	`associate-+l+_binary64`
259×	`sub-neg_binary64`
252×	`neg-mul-1_binary64`
242×	`associate-+r+_binary64`
224×	`unsub-neg_binary64`
215×	`*-commutative_binary64`
214×	`cancel-sign-sub-inv_binary64`
174×	`associate-/l*_binary64`
166×	`times-frac_binary64`
149×	`associate-*l/_binary64`
144×	`+-commutative_binary64`
138×	`associate-*r/_binary64`
135×	`distribute-rgt-neg-in_binary64`
130×	`neg-sub0_binary64`
117×	`associate-l_binary64`
114×	`distribute-neg-frac_binary64`
107×	`associate-r_binary64`
101×	`distribute-lft-neg-in_binary64`
97×	`distribute-rgt-in_binary64`
96×	`associate--l+_binary64`
86×	`associate-/r*_binary64`
76×	`distribute-lft-in_binary64`
68×	`sqr-pow_binary64`
64×	`cancel-sign-sub_binary64`
63×	`associate-+r-_binary64`
62×	`distribute-lft-neg-out_binary64`
56×	`cube-prod_binary64` `associate-/l/_binary64`
55×	`distribute-rgt-neg-out_binary64`
53×	`exp-prod_binary64`
52×	`distribute-neg-out_binary64`
51×	`associate-/r/_binary64`
50×	`log-prod_binary64` `*-rgt-identity_binary64`
47×	`associate-+l-_binary64`
41×	`log-div_binary64`
39×	`cube-div_binary64`
31×	`+-rgt-identity_binary64` `associate--r+_binary64`
30×	`*-lft-identity_binary64` `distribute-frac-neg_binary64`
28×	`distribute-rgt-out_binary64`
27×	`sub0-neg_binary64`
23×	`remove-double-neg_binary64` `distribute-neg-in_binary64` `distribute-lft-out_binary64`
21×	`/-rgt-identity_binary64`
20×	`exp-sum_binary64`
19×	`exp-diff_binary64`
18×	`unswap-sqr_binary64`
17×	`mul0-rgt_binary64` `mul0-lft_binary64`
14×	`swap-sqr_binary64` `associate--l-_binary64`
13×	`unpow3_binary64`
11×	`log-rec_binary64` `cube-mult_binary64` `distribute-rgt-out--_binary64`
10×	`cube-neg_binary64`
7×	`--rgt-identity_binary64` `pow-sqr_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64`
6×	`unpow1/2_binary64`
5×	`sqr-neg_binary64` `mul-1-neg_binary64` `associate--r-_binary64`
4×	`cube-unmult_binary64` `div0_binary64`
2×	`rem-sqrt-square_binary64` `+-lft-identity_binary64` `remove-double-div_binary64`
1×	`div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `+-inverses_binary64` `distribute-rgt1-in_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-pow_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `unpow2_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-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` `*-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `distribute-lft1-in_binary64`

Counts

148 → 85

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	195	1994
1	475	1834
2	1422	1814
3	3715	1814
4	4434	1814
5	4978	1814

prune98.0ms (1.1%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	82	3	85
Fresh	1	6	7
Picked	1	0	1
Done	0	0	0
Total	84	9	93

Error

0.0b

Counts

93 → 9

Compiler

Compiled 1473 to 799 computations (45.8% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (neg.f64 (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))) (/.f64 1 (sin.f64 B)))
0.1b	(/.f64 1 (sin.f64 B))
0.2b	(/.f64 x (sin.f64 B))
0.2b	(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))

rewrite146.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

33×	`add-sqr-sqrt_binary64`
31×	`*-un-lft-identity_binary64`
28×	`add-cube-cbrt_binary64` `times-frac_binary64`
15×	`add-exp-log_binary64`
13×	`add-cbrt-cube_binary64` `associate-l_binary64`
8×	`add-log-exp_binary64`
7×	`pow1_binary64`
6×	`associate-/l_binary64` `associate-/r_binary64`
4×	`div-exp_binary64` `div-inv_binary64`
3×	`cbrt-undiv_binary64` `associate-r_binary64`
2×	`prod-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `associate-*l/_binary64` `frac-2neg_binary64` `clear-num_binary64` `sum-log_binary64` `distribute-lft-out_binary64`
1×	`pow-prod-down_binary64` `*-commutative_binary64` `inv-pow_binary64` `pow-flip_binary64` `1-exp_binary64` `rec-exp_binary64` `neg-log_binary64` `distribute-neg-frac_binary64` `frac-add_binary64` `flip3-+_binary64` `flip-+_binary64` `neg-sub0_binary64` `associate-+l-_binary64` `+-commutative_binary64`

Counts

4 → 106

Calls

4 calls:

8.0ms	(+.f64 (neg.f64 (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))) (/.f64 1 (sin.f64 B)))
7.0ms	(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))
3.0ms	(/.f64 1 (sin.f64 B))
3.0ms	(/.f64 x (sin.f64 B))

Compiler

Compiled 2158 to 763 computations (64.6% saved)

series812.0ms (9.2%)

Error

0.0b

Counts

4 → 34

Calls

4 calls:

349.0ms	(+.f64 (neg.f64 (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))) (/.f64 1 (sin.f64 B)))
242.0ms	(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))
148.0ms	(/.f64 x (sin.f64 B))
42.0ms	(/.f64 1 (sin.f64 B))

Compiler

Compiled 1302 to 832 computations (36.1% saved)

simplify129.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

460×	`associate-*l/_binary64`
374×	`times-frac_binary64`
354×	`associate-/l*_binary64`
332×	`associate-*r/_binary64`
178×	`neg-sub0_binary64`
176×	`cancel-sign-sub-inv_binary64`
169×	`associate-/r*_binary64`
164×	`neg-mul-1_binary64`
152×	`div-sub_binary64`
122×	`log-prod_binary64`
116×	`log-div_binary64`
115×	`distribute-rgt-neg-in_binary64`
114×	`cube-prod_binary64`
112×	`associate-/r/_binary64`
107×	`associate-l_binary64`
98×	`distribute-rgt-in_binary64`
93×	`associate-r_binary64`
90×	`cube-div_binary64`
89×	`distribute-lft-neg-in_binary64`
82×	`*-commutative_binary64`
81×	`exp-prod_binary64`
79×	`distribute-lft-in_binary64` `associate-/l/_binary64`
74×	`distribute-lft-neg-out_binary64`
71×	`distribute-rgt-neg-out_binary64`
68×	`sub-neg_binary64`
66×	`+-commutative_binary64`
57×	`distribute-neg-frac_binary64`
56×	`associate-+r+_binary64`
41×	`associate-+l+_binary64`
39×	`distribute-rgt-out_binary64`
34×	`sqr-pow_binary64`
28×	`unsub-neg_binary64`
23×	`distribute-lft-out_binary64`
21×	`*-rgt-identity_binary64` `swap-sqr_binary64`
20×	`log-rec_binary64`
17×	`unpow3_binary64` `associate--l+_binary64`
15×	`cube-mult_binary64`
14×	`*-lft-identity_binary64` `distribute-neg-in_binary64`
13×	`exp-diff_binary64` `cube-neg_binary64` `distribute-rgt-out--_binary64`
12×	`exp-sum_binary64` `/-rgt-identity_binary64`
9×	`sqr-neg_binary64` `distribute-neg-out_binary64`
8×	`associate-+r-_binary64`
7×	`associate--r+_binary64`
6×	`cancel-sign-sub_binary64`
5×	`remove-double-neg_binary64`
4×	`cube-unmult_binary64` `distribute-lft-out--_binary64` `associate-+l-_binary64`
3×	`mul-1-neg_binary64` `difference-of-squares_binary64`
2×	`exp-neg_binary64` `sub0-neg_binary64` `+-rgt-identity_binary64`
1×	`unpow1/2_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `div0_binary64` `pow-sqr_binary64` `unswap-sqr_binary64` `distribute-frac-neg_binary64` `distribute-rgt1-in_binary64` `count-2_binary64` `associate--r-_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` `pow-base-0_binary64` `unpow1/3_binary64` `unpow2_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` `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-sqrt-square_binary64` `rem-square-sqrt_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `distribute-lft1-in_binary64`

Counts

140 → 74

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	197	2208
1	494	2053
2	1547	2026
3	4142	2026
4	4942	2026
5	4975	2026

prune81.0ms (0.9%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	74	0	74
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	74	9	83

Error

0.0b

Counts

83 → 9

Compiler

Compiled 1555 to 640 computations (58.8% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 (sin.f64 B)) (cbrt.f64 (sin.f64 B)))
0.6b	(cbrt.f64 (sin.f64 B))
0.6b	(cbrt.f64 (sin.f64 B))
0.6b	(cbrt.f64 (sin.f64 B))

rewrite113.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

25×	`cbrt-prod_binary64`
23×	`add-sqr-sqrt_binary64`
15×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
11×	`pow1_binary64`
9×	`pow1/3_binary64`
6×	`add-exp-log_binary64` `swap-sqr_binary64` `associate-l_binary64` `associate-r_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `unswap-sqr_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64`
1×	`pow2_binary64` `pow-plus_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `*-commutative_binary64`

Counts

4 → 73

Calls

4 calls:

7.0ms	(*.f64 (cbrt.f64 (sin.f64 B)) (cbrt.f64 (sin.f64 B)))
1.0ms	(cbrt.f64 (sin.f64 B))
1.0ms	(cbrt.f64 (sin.f64 B))
1.0ms	(cbrt.f64 (sin.f64 B))

Compiler

Compiled 1876 to 601 computations (68% saved)

series487.0ms (5.5%)

Error

0.0b

Counts

4 → 15

Calls

4 calls:

126.0ms	(*.f64 (cbrt.f64 (sin.f64 B)) (cbrt.f64 (sin.f64 B)))
122.0ms	(cbrt.f64 (sin.f64 B))
114.0ms	(cbrt.f64 (sin.f64 B))
107.0ms	(cbrt.f64 (sin.f64 B))

Compiler

Compiled 950 to 643 computations (32.3% saved)

simplify108.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

584×	`log-prod_binary64`
446×	`sqr-pow_binary64`
362×	`*-commutative_binary64`
311×	`distribute-lft-out_binary64`
287×	`associate-l_binary64`
258×	`associate-/l/_binary64`
188×	`exp-prod_binary64`
185×	`associate-r_binary64`
157×	`log-pow_binary64`
155×	`cube-prod_binary64`
151×	`distribute-rgt-out_binary64`
131×	`pow-sqr_binary64`
112×	`unswap-sqr_binary64`
111×	`swap-sqr_binary64`
104×	`associate-/l*_binary64`
76×	`associate-+l+_binary64`
69×	`associate-+r+_binary64`
61×	`distribute-rgt-in_binary64`
57×	`distribute-lft-in_binary64`
54×	`times-frac_binary64`
46×	`pow-plus_binary64` `+-commutative_binary64`
43×	`rem-sqrt-square_binary64`
39×	`distribute-rgt-neg-in_binary64`
37×	`associate-/r/_binary64`
36×	`count-2_binary64`
35×	`unpow3_binary64` `associate-*r/_binary64`
32×	`distribute-lft-neg-in_binary64`
31×	`-rgt-identity_binary64` `-lft-identity_binary64`
30×	`cube-mult_binary64`
26×	`cancel-sign-sub-inv_binary64`
24×	`associate-/r*_binary64`
22×	`distribute-rgt1-in_binary64`
19×	`sub-neg_binary64`
16×	`cube-unmult_binary64` `neg-mul-1_binary64`
15×	`neg-sub0_binary64`
12×	`log-div_binary64` `cube-div_binary64`
10×	`unpow1/2_binary64` `distribute-lft1-in_binary64`
8×	`unpow2_binary64` `associate-*l/_binary64`
6×	`distribute-neg-in_binary64`
5×	`unpow1/3_binary64` `unpow1_binary64`
3×	`distribute-lft-neg-out_binary64` `associate--r+_binary64`
2×	`rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `sub0-neg_binary64` `associate-+l-_binary64`
1×	`exp-lft-sqr_binary64` `exp-sqrt_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-rft_binary64` `rem-square-sqrt_binary64` `remove-double-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `distribute-rgt-neg-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` `log-rec_binary64` `pow-base-0_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-cbrt_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `exp-sum_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `div-sub_binary64` `unsub-neg_binary64` `mul-1-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` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--l+_binary64`

Counts

88 → 55

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	59	983
1	113	905
2	315	883
3	995	865
4	1813	753
5	2754	753
6	4977	753
7	4831	753

prune66.0ms (0.8%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	55	0	55
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	55	9	64

Error

0.0b

Counts

64 → 9

Compiler

Compiled 1196 to 498 computations (58.4% saved)

regimes439.0ms (5%)

Accuracy

Total 0.1b remaining (93.5%)

Threshold costs 0.1b (93.5%)

Compiler

Compiled 3742 to 2856 computations (23.7% saved)

bsearch0.0ms (0%)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Rules

3×	`sub-neg_binary64` `+-commutative_binary64`
2×	`neg-mul-1_binary64` `neg-sub0_binary64` `*-commutative_binary64`
1×	`1-exp_binary64` `distribute-neg-frac_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` `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-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	9	14
1	13	14
2	19	14
3	23	14
4	26	14
5	27	14
6	26	14

end0.0ms (0%)

sample2.8s (31.5%)

Algorithm

1×

intervals

Results

586.0ms	2218×	body	1024	valid
299.0ms	4065×	body	128	valid
214.0ms	1112×	body	512	valid
80.0ms	597×	body	256	valid
12.0ms	182×	body	128	invalid
4.0ms	8×	body	2048	valid
1.0ms	3×	body	1024	invalid
0.0ms	1×	body	512	invalid

Compiler

Compiled 1260 to 964 computations (23.5% saved)

Iter	Nodes	Cost
0	18	38
1	41	28
2	82	28
3	135	28
4	189	28
5	239	28
6	252	28
7	322	28
8	303	28
9	323	28
10	345	28
11	472	28
12	691	28
13	603	28
14	607	28
15	619	28
16	615	28
17	546	28
0	2	2
1	2	2

Iter	Nodes	Cost
0	11	19
1	24	14
2	45	14
3	73	14
4	102	14
5	129	14
6	136	14
7	171	14
8	162	14
9	168	14
10	165	14
11	140	14

Iter	Nodes	Cost
0	18	38
1	41	28
2	82	28
3	135	28
4	189	28
5	239	28
6	252	28
7	322	28
8	303	28
9	323	28
10	345	28
11	472	28
12	691	28
13	603	28
14	607	28
15	619	28
16	615	28
17	546	28
0	2	2
1	2	2

Iter	Nodes	Cost
0	11	19
1	24	14
2	45	14
3	73	14
4	102	14
5	129	14
6	136	14
7	171	14
8	162	14
9	168	14
10	165	14
11	140	14

Details

analyze1.1s (12.4%)

sample54.0ms (0.6%)

simplify21.0ms (0.2%)

prune7.0ms (0.1%)

localize10.0ms (0.1%)

rewrite142.0ms (1.6%)

series809.0ms (9.2%)

simplify117.0ms (1.3%)

prune66.0ms (0.7%)

localize10.0ms (0.1%)

rewrite179.0ms (2%)

series905.0ms (10.3%)

simplify118.0ms (1.3%)

prune98.0ms (1.1%)

localize10.0ms (0.1%)

rewrite146.0ms (1.7%)

series812.0ms (9.2%)

simplify129.0ms (1.5%)

prune81.0ms (0.9%)

localize15.0ms (0.2%)

rewrite113.0ms (1.3%)

series487.0ms (5.5%)

simplify108.0ms (1.2%)

prune66.0ms (0.8%)

regimes439.0ms (5%)

bsearch0.0ms (0%)

simplify4.0ms (0%)

end0.0ms (0%)

sample2.8s (31.5%)

Profiling

Iter	Nodes	Cost
0	18	38
1	41	28
2	82	28
3	135	28
4	189	28
5	239	28
6	252	28
7	322	28
8	303	28
9	323	28
10	345	28
11	472	28
12	691	28
13	603	28
14	607	28
15	619	28
16	615	28
17	546	28
0	2	2
1	2	2

Iter	Nodes	Cost
0	11	19
1	24	14
2	45	14
3	73	14
4	102	14
5	129	14
6	136	14
7	171	14
8	162	14
9	168	14
10	165	14
11	140	14