Details

analyze998.0ms (18.3%)

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)

sample56.0ms (1%)

Algorithm

1×

intervals

Results

24.0ms	72×	body	1024	valid
10.0ms	134×	body	128	valid
6.0ms	30×	body	512	valid
3.0ms	20×	body	256	valid
0.0ms	6×	body	128	invalid

Compiler

Compiled 25 to 25 computations (0% saved)

simplify17.0ms (0.3%)

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)

localize9.0ms (0.2%)

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))
0.2b	(/.f64 x (tan.f64 B))

rewrite143.0ms (2.6%)

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:

16.0ms	(-.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 1506 to 610 computations (59.5% saved)

series131.0ms (2.4%)

Error

0.1b

Counts

3 → 25

Calls

3 calls:

54.0ms	(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
53.0ms	(/.f64 x (tan.f64 B))
8.0ms	(/.f64 1 (sin.f64 B))

Compiler

Compiled 734 to 531 computations (27.7% saved)

simplify124.0ms (2.3%)

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

prune48.0ms (0.9%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	49	8	57
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	50	9	59

Error

0.0b

Counts

59 → 9

Compiler

Compiled 725 to 397 computations (45.2% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite145.0ms (2.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

25×	`*-un-lft-identity_binary64`
18×	`add-sqr-sqrt_binary64`
16×	`add-cube-cbrt_binary64`
15×	`add-exp-log_binary64`
13×	`add-cbrt-cube_binary64` `times-frac_binary64`
9×	`div-inv_binary64`
8×	`add-log-exp_binary64`
7×	`pow1_binary64`
6×	`associate-/r*_binary64`
4×	`div-exp_binary64` `associate-/l*_binary64` `distribute-lft-neg-in_binary64` `distribute-lft-out_binary64`
3×	`cbrt-undiv_binary64` `associate-l_binary64` `associate-r_binary64` `distribute-rgt-out_binary64`
2×	`prod-exp_binary64` `cbrt-unprod_binary64` `frac-2neg_binary64` `clear-num_binary64` `sum-log_binary64` `distribute-rgt-neg-in_binary64`
1×	`pow-prod-down_binary64` `unswap-sqr_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` `unsub-neg_binary64` `flip-+_binary64` `distribute-rgt1-in_binary64` `neg-sub0_binary64` `associate-+r-_binary64` `+-commutative_binary64`

Counts

4 → 93

Calls

4 calls:

16.0ms	(+.f64 (/.f64 1 (sin.f64 B)) (neg.f64 (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))))
5.0ms	(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
4.0ms	(*.f64 x (cos.f64 B))
3.0ms	(/.f64 1 (sin.f64 B))

Compiler

Compiled 1659 to 599 computations (63.9% saved)

series130.0ms (2.4%)

Error

0.0b

Counts

4 → 33

Calls

4 calls:

47.0ms	(+.f64 (/.f64 1 (sin.f64 B)) (neg.f64 (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))))
33.0ms	(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
20.0ms	(*.f64 x (cos.f64 B))
9.0ms	(/.f64 1 (sin.f64 B))

Compiler

Compiled 1064 to 766 computations (28% saved)

simplify98.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

445×	`associate-*r/_binary64`
337×	`associate-+l+_binary64`
269×	`associate-/l/_binary64`
237×	`associate-/r*_binary64`
227×	`associate-/r/_binary64`
192×	`cancel-sign-sub-inv_binary64`
144×	`div-sub_binary64`
136×	`distribute-rgt-in_binary64`
125×	`distribute-rgt-neg-in_binary64`
110×	`distribute-lft-neg-in_binary64`
105×	`associate--l+_binary64`
104×	`cube-prod_binary64`
100×	`distribute-lft-in_binary64`
98×	`cube-div_binary64`
97×	`associate-r_binary64`
96×	`associate-l_binary64`
88×	`distribute-neg-frac_binary64`
84×	`log-div_binary64`
82×	`associate-/l*_binary64`
79×	`log-prod_binary64`
76×	`exp-prod_binary64`
75×	`times-frac_binary64`
73×	`sub-neg_binary64`
60×	`*-commutative_binary64` `+-commutative_binary64`
55×	`distribute-lft-neg-out_binary64`
53×	`associate-*l/_binary64`
52×	`distribute-rgt-neg-out_binary64`
51×	`associate-+l-_binary64`
48×	`associate-+r+_binary64`
46×	`associate-+r-_binary64`
43×	`neg-sub0_binary64`
41×	`distribute-rgt-out_binary64`
38×	`neg-mul-1_binary64`
33×	`sqr-pow_binary64`
32×	`unsub-neg_binary64`
30×	`associate--r+_binary64`
25×	`exp-sum_binary64`
23×	`*-rgt-identity_binary64`
21×	`unpow3_binary64`
19×	`exp-diff_binary64` `*-lft-identity_binary64`
18×	`cube-mult_binary64` `/-rgt-identity_binary64`
17×	`swap-sqr_binary64` `associate--l-_binary64`
16×	`log-rec_binary64` `distribute-neg-in_binary64`
14×	`distribute-rgt-out--_binary64` `distribute-lft-out_binary64`
10×	`cube-neg_binary64`
8×	`sqr-neg_binary64` `associate--r-_binary64`
5×	`cube-unmult_binary64` `remove-double-neg_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64`
4×	`unswap-sqr_binary64`
3×	`mul-1-neg_binary64` `sub0-neg_binary64` `+-rgt-identity_binary64` `difference-of-squares_binary64` `cancel-sign-sub_binary64`
2×	`unpow1/2_binary64` `distribute-lft-out--_binary64`
1×	`unpow2_binary64` `pow-plus_binary64` `unpow1_binary64` `rec-exp_binary64` `prod-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-sqrt-square_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `div0_binary64` `pow-sqr_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` `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` `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` `+-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

126 → 60

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	183	1893
1	451	1736
2	1564	1709
3	4444	1709
4	4983	1709

prune56.0ms (1%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	55	5	60
Fresh	5	3	8
Picked	1	0	1
Done	0	0	0
Total	61	8	69

Error

Counts

69 → 8

Compiler

Compiled 946 to 448 computations (52.6% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite157.0ms (2.9%)

Algorithm

1×	rewrite-expression-head

Error

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-r_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-l_binary64`
2×	`prod-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `associate-*r/_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` `unsub-neg_binary64` `flip-+_binary64` `neg-sub0_binary64` `associate-+r-_binary64` `+-commutative_binary64`

Counts

4 → 107

Calls

4 calls:

9.0ms	(+.f64 (/.f64 1 (sin.f64 B)) (neg.f64 (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))))
7.0ms	(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
4.0ms	(/.f64 (cos.f64 B) (sin.f64 B))
3.0ms	(/.f64 1 (sin.f64 B))

Compiler

Compiled 2093 to 727 computations (65.3% saved)

series117.0ms (2.1%)

Error

Counts

4 → 30

Calls

4 calls:

46.0ms	(+.f64 (/.f64 1 (sin.f64 B)) (neg.f64 (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))))
33.0ms	(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
11.0ms	(/.f64 (cos.f64 B) (sin.f64 B))
9.0ms	(/.f64 1 (sin.f64 B))

Compiler

Compiled 978 to 707 computations (27.7% saved)

simplify138.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

452×	`times-frac_binary64`
420×	`associate-*l/_binary64`
340×	`associate-/l*_binary64`
230×	`cancel-sign-sub-inv_binary64`
214×	`div-sub_binary64`
170×	`associate-/r*_binary64`
162×	`distribute-rgt-in_binary64`
144×	`distribute-rgt-neg-in_binary64`
130×	`associate-/l/_binary64` `associate-l_binary64`
125×	`distribute-lft-in_binary64`
123×	`cube-prod_binary64`
122×	`distribute-lft-neg-in_binary64`
121×	`associate-/r/_binary64`
118×	`associate-r_binary64`
92×	`cube-div_binary64`
91×	`log-prod_binary64`
87×	`exp-prod_binary64`
78×	`distribute-lft-neg-out_binary64`
74×	`sub-neg_binary64`
71×	`log-div_binary64`
70×	`distribute-rgt-neg-out_binary64`
69×	`associate-r/_binary64` `-commutative_binary64`
59×	`distribute-neg-frac_binary64` `+-commutative_binary64`
55×	`distribute-rgt-out_binary64`
49×	`neg-sub0_binary64`
48×	`associate-+r+_binary64`
44×	`neg-mul-1_binary64`
35×	`associate-+l+_binary64`
34×	`sqr-pow_binary64`
33×	`unsub-neg_binary64`
27×	`exp-sum_binary64` `*-lft-identity_binary64`
25×	`log-rec_binary64` `*-rgt-identity_binary64`
20×	`distribute-lft-out_binary64` `associate--l+_binary64`
18×	`distribute-neg-in_binary64`
17×	`unpow3_binary64`
16×	`/-rgt-identity_binary64` `swap-sqr_binary64`
15×	`cube-mult_binary64`
14×	`cube-neg_binary64`
13×	`exp-diff_binary64` `distribute-rgt-out--_binary64`
11×	`associate--r+_binary64`
8×	`sqr-neg_binary64`
7×	`remove-double-neg_binary64` `associate-+r-_binary64`
5×	`mul0-rgt_binary64` `mul0-lft_binary64` `distribute-neg-out_binary64`
4×	`cube-unmult_binary64` `mul-1-neg_binary64` `cancel-sign-sub_binary64` `distribute-lft-out--_binary64`
3×	`exp-neg_binary64` `+-rgt-identity_binary64` `difference-of-squares_binary64` `distribute-frac-neg_binary64` `associate-+l-_binary64`
2×	`sub0-neg_binary64` `distribute-rgt1-in_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` `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` `*-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` `unswap-sqr_binary64` `distribute-lft1-in_binary64`

Counts

137 → 65

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	192	2219
1	470	2056
2	1662	2041
3	4244	2041
4	5000	2041
5	4939	2041

prune59.0ms (1.1%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	64	1	65
Fresh	1	6	7
Picked	0	1	1
Done	0	0	0
Total	65	8	73

Error

Counts

73 → 8

Compiler

Compiled 1094 to 491 computations (55.1% saved)

localize17.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.3b	(*.f64 (cbrt.f64 (cos.f64 B)) (cbrt.f64 (cos.f64 B)))
0.3b	(cbrt.f64 (cos.f64 B))
0.3b	(cbrt.f64 (cos.f64 B))
0.3b	(cbrt.f64 (cos.f64 B))

rewrite112.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Error

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 (cos.f64 B)) (cbrt.f64 (cos.f64 B)))
1.0ms	(cbrt.f64 (cos.f64 B))
1.0ms	(cbrt.f64 (cos.f64 B))
1.0ms	(cbrt.f64 (cos.f64 B))

Compiler

Compiled 1884 to 574 computations (69.5% saved)

series103.0ms (1.9%)

Error

Counts

4 → 20

Calls

4 calls:

21.0ms	(cbrt.f64 (cos.f64 B))
20.0ms	(cbrt.f64 (cos.f64 B))
20.0ms	(*.f64 (cbrt.f64 (cos.f64 B)) (cbrt.f64 (cos.f64 B)))
18.0ms	(cbrt.f64 (cos.f64 B))

Compiler

Compiled 1174 to 759 computations (35.3% saved)

simplify118.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

586×	`log-prod_binary64`
581×	`cancel-sign-sub-inv_binary64`
351×	`*-commutative_binary64`
306×	`associate-l_binary64`
263×	`sub-neg_binary64`
212×	`associate-r_binary64`
192×	`distribute-rgt-neg-in_binary64`
189×	`sqr-pow_binary64`
188×	`exp-prod_binary64`
174×	`cube-prod_binary64`
158×	`distribute-lft-neg-in_binary64`
145×	`log-pow_binary64`
128×	`distribute-lft-out_binary64`
116×	`unswap-sqr_binary64`
109×	`associate-+l+_binary64`
104×	`associate-/l*_binary64`
96×	`associate-+r+_binary64`
92×	`neg-mul-1_binary64`
88×	`associate-+l-_binary64`
87×	`+-commutative_binary64`
85×	`neg-sub0_binary64`
84×	`distribute-rgt-out_binary64`
82×	`swap-sqr_binary64`
73×	`distribute-rgt-in_binary64`
59×	`distribute-lft-in_binary64`
50×	`distribute-lft-out--_binary64`
48×	`pow-plus_binary64`
47×	`pow-sqr_binary64`
43×	`rem-sqrt-square_binary64` `associate--l+_binary64`
41×	`times-frac_binary64` `distribute-rgt-out--_binary64`
37×	`unpow3_binary64` `associate-/r/_binary64` `associate--r+_binary64`
35×	`unsub-neg_binary64` `associate-*r/_binary64`
32×	`*-lft-identity_binary64` `sub0-neg_binary64` `associate-+r-_binary64`
31×	`cube-mult_binary64` `*-rgt-identity_binary64` `associate-/l/_binary64`
29×	`count-2_binary64`
28×	`distribute-neg-in_binary64`
27×	`associate--r-_binary64`
24×	`associate-/r*_binary64` `associate--l-_binary64`
17×	`log-div_binary64` `cube-div_binary64`
16×	`cube-unmult_binary64`
13×	`distribute-rgt1-in_binary64`
10×	`unpow1/2_binary64` `distribute-lft-neg-out_binary64`
9×	`distribute-lft1-in_binary64`
8×	`unpow2_binary64` `+-rgt-identity_binary64` `associate-*l/_binary64`
5×	`unpow1_binary64` `remove-double-neg_binary64` `distribute-rgt-neg-out_binary64`
3×	`--rgt-identity_binary64`
2×	`unpow1/3_binary64` `exp-sqrt_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64`
1×	`exp-lft-sqr_binary64` `1-exp_binary64` `exp-1-e_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-square-sqrt_binary64` `distribute-neg-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` `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` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `div-sub_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`

Counts

93 → 56

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	69	1055
1	135	977
2	394	955
3	1265	937
4	2414	825
5	4080	825
6	4977	825
7	4905	825

prune47.0ms (0.9%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	56	0	56
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	56	8	64

Error

Counts

64 → 8

Compiler

Compiled 806 to 346 computations (57.1% saved)

regimes822.0ms (15.1%)

Accuracy

Total 0.1b remaining (86.6%)

Threshold costs 0.1b (86.6%)

Compiler

Compiled 9562 to 7032 computations (26.5% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`sub-neg_binary64` `*-commutative_binary64` `+-commutative_binary64`
2×	`neg-mul-1_binary64` `neg-sub0_binary64`
1×	`1-exp_binary64` `*-lft-identity_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` `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	11	14
1	16	14
2	22	14
3	26	14
4	29	14
5	30	14
6	28	14

end1.0ms (0%)

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

sample1.8s (32.5%)

Algorithm

1×

intervals

Results

650.0ms	2295×	body	1024	valid
298.0ms	3991×	body	128	valid
224.0ms	1139×	body	512	valid
78.0ms	568×	body	256	valid
13.0ms	189×	body	128	invalid
3.0ms	7×	body	2048	valid
0.0ms	1×	body	1024	invalid

Compiler

Compiled 207 to 145 computations (30% 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

analyze998.0ms (18.3%)

sample56.0ms (1%)

simplify17.0ms (0.3%)

prune7.0ms (0.1%)

localize9.0ms (0.2%)

rewrite143.0ms (2.6%)

series131.0ms (2.4%)

simplify124.0ms (2.3%)

prune48.0ms (0.9%)

localize11.0ms (0.2%)

rewrite145.0ms (2.7%)

series130.0ms (2.4%)

simplify98.0ms (1.8%)

prune56.0ms (1%)

localize10.0ms (0.2%)

rewrite157.0ms (2.9%)

series117.0ms (2.1%)

simplify138.0ms (2.5%)

prune59.0ms (1.1%)

localize17.0ms (0.3%)

rewrite112.0ms (2.1%)

series103.0ms (1.9%)

simplify118.0ms (2.2%)

prune47.0ms (0.9%)

regimes822.0ms (15.1%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end1.0ms (0%)

sample1.8s (32.5%)

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