Details

analyze994.0ms (18.7%)

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` `fabs-div_binary64` `fabs-mul_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_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)

sample53.0ms (1%)

Algorithm

1×

intervals

Results

19.0ms	56×	body	1024	valid
10.0ms	143×	body	128	valid
7.0ms	35×	body	512	valid
3.0ms	22×	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` `fabs-div_binary64` `fabs-mul_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_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

prune6.0ms (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 (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(sin.f64 B)
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))

rewrite151.0ms (2.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

44×	`add-sqr-sqrt_binary64`
36×	`times-frac_binary64` `*-un-lft-identity_binary64`
27×	`add-cube-cbrt_binary64`
14×	`cancel-sign-sub-inv_binary64`
10×	`add-exp-log_binary64`
8×	`add-cbrt-cube_binary64`
6×	`add-log-exp_binary64` `associate-/l_binary64` `associate-/r_binary64` `difference-of-squares_binary64`
5×	`pow1_binary64`
4×	`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

4 → 101

Calls

4 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))
1.0ms	(sin.f64 B)

Compiler

Compiled 1598 to 641 computations (59.9% saved)

series145.0ms (2.7%)

Error

0.1b

Counts

4 → 33

Calls

4 calls:

53.0ms	(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
52.0ms	(/.f64 x (tan.f64 B))
10.0ms	(/.f64 1 (sin.f64 B))
8.0ms	(sin.f64 B)

Compiler

Compiled 964 to 707 computations (26.7% saved)

simplify100.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

352×	`associate-+l+_binary64`
330×	`associate-/l*_binary64`
282×	`associate-r_binary64`
267×	`associate-l_binary64`
260×	`sub-neg_binary64`
198×	`times-frac_binary64`
197×	`associate-*l/_binary64`
168×	`cancel-sign-sub-inv_binary64`
158×	`associate-*r/_binary64`
148×	`unsub-neg_binary64`
136×	`div-sub_binary64`
123×	`neg-sub0_binary64`
115×	`neg-mul-1_binary64`
113×	`associate-/r*_binary64`
112×	`associate-/l/_binary64`
106×	`distribute-rgt-neg-in_binary64`
102×	`associate--l+_binary64`
99×	`exp-prod_binary64`
85×	`distribute-lft-neg-in_binary64`
83×	`distribute-neg-frac_binary64`
75×	`*-commutative_binary64` `+-commutative_binary64`
67×	`associate-/r/_binary64`
66×	`distribute-rgt-in_binary64`
57×	`distribute-lft-in_binary64`
52×	`associate-+r+_binary64`
45×	`associate-+r-_binary64`
37×	`distribute-lft-neg-out_binary64` `associate-+l-_binary64`
32×	`cube-prod_binary64`
31×	`log-prod_binary64`
26×	`cube-div_binary64`
25×	`distribute-rgt-neg-out_binary64`
24×	`log-div_binary64`
23×	`exp-sum_binary64` `distribute-rgt-out_binary64`
22×	`sqr-pow_binary64`
19×	`associate--r+_binary64`
16×	`distribute-frac-neg_binary64`
15×	`*-rgt-identity_binary64`
14×	`distribute-neg-in_binary64`
12×	`exp-diff_binary64` `cube-unmult_binary64`
11×	`distribute-lft-out_binary64`
9×	`/-rgt-identity_binary64` `*-lft-identity_binary64`
8×	`unpow3_binary64`
6×	`associate--l-_binary64`
5×	`swap-sqr_binary64`
4×	`log-rec_binary64` `+-rgt-identity_binary64` `div0_binary64`
3×	`cube-mult_binary64` `rem-square-sqrt_binary64` `difference-of-squares_binary64` `unswap-sqr_binary64`
2×	`rem-3cbrt-lft_binary64` `rem-sqrt-square_binary64` `mul-1-neg_binary64` `distribute-rgt1-in_binary64` `distribute-rgt-out--_binary64`
1×	`log-pow_binary64` `pow-plus_binary64` `div-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-rft_binary64` `sqr-neg_binary64` `+-lft-identity_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` `unpow1/2_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` `fabs-div_binary64` `fabs-mul_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `pow-sqr_binary64` `difference-of-sqr--1_binary64` `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

134 → 63

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	209	1933
1	527	1882
2	1450	1867
3	4254	1867
4	5018	1867

prune48.0ms (0.9%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	55	8	63
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	57	8	65

Error

0.0b

Counts

65 → 8

Compiler

Compiled 801 to 431 computations (46.2% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite159.0ms (3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

46×	`*-un-lft-identity_binary64`
43×	`times-frac_binary64`
35×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
13×	`distribute-rgt-neg-in_binary64` `associate-/l*_binary64`
12×	`distribute-lft-neg-in_binary64`
10×	`add-exp-log_binary64`
8×	`add-cbrt-cube_binary64`
6×	`add-log-exp_binary64` `associate-/r*_binary64`
5×	`pow1_binary64`
4×	`neg-mul-1_binary64` `distribute-lft-out_binary64`
3×	`div-exp_binary64` `div-inv_binary64`
2×	`cbrt-undiv_binary64` `frac-2neg_binary64` `neg-sub0_binary64` `div-sub_binary64` `clear-num_binary64` `distribute-frac-neg_binary64`
1×	`tan-quot_binary64` `associate-/r/_binary64` `inv-pow_binary64` `pow-flip_binary64` `1-exp_binary64` `rec-exp_binary64` `sum-log_binary64` `frac-add_binary64` `flip3-+_binary64` `unsub-neg_binary64` `flip-+_binary64` `associate-+r-_binary64` `+-commutative_binary64`

Counts

4 → 114

Calls

4 calls:

26.0ms	(+.f64 (/.f64 1 (sin.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B)))
5.0ms	(/.f64 (neg.f64 x) (tan.f64 B))
3.0ms	(/.f64 1 (sin.f64 B))
1.0ms	(sin.f64 B)

Compiler

Compiled 1783 to 683 computations (61.7% saved)

series132.0ms (2.5%)

Error

0.0b

Counts

4 → 33

Calls

4 calls:

53.0ms	(+.f64 (/.f64 1 (sin.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B)))
41.0ms	(/.f64 (neg.f64 x) (tan.f64 B))
9.0ms	(/.f64 1 (sin.f64 B))
8.0ms	(sin.f64 B)

Compiler

Compiled 1026 to 753 computations (26.6% saved)

simplify117.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

468×	`times-frac_binary64`
360×	`associate-+l+_binary64`
330×	`div-sub_binary64`
310×	`associate-/l*_binary64`
277×	`associate-r_binary64`
233×	`associate-l_binary64`
213×	`associate-/r*_binary64`
140×	`associate-*l/_binary64`
134×	`associate-/l/_binary64`
132×	`distribute-rgt-in_binary64` `associate-*r/_binary64`
122×	`associate-/r/_binary64`
113×	`distribute-lft-in_binary64`
110×	`cancel-sign-sub-inv_binary64` `associate--l+_binary64`
90×	`sub-neg_binary64`
84×	`distribute-rgt-neg-out_binary64`
75×	`distribute-lft-neg-out_binary64`
73×	`neg-sub0_binary64`
69×	`+-commutative_binary64`
66×	`cube-div_binary64`
65×	`cube-prod_binary64` `distribute-lft-neg-in_binary64`
62×	`neg-mul-1_binary64`
54×	`log-prod_binary64` `distribute-rgt-neg-in_binary64`
52×	`log-div_binary64`
50×	`associate-+r+_binary64`
46×	`distribute-frac-neg_binary64`
45×	`distribute-neg-frac_binary64` `*-commutative_binary64`
38×	`associate-+r-_binary64`
35×	`associate-+l-_binary64`
32×	`exp-prod_binary64`
26×	`unsub-neg_binary64`
24×	`sqr-pow_binary64` `associate--r-_binary64`
22×	`distribute-rgt-out_binary64`
14×	`/-rgt-identity_binary64` `*-rgt-identity_binary64`
13×	`unpow3_binary64`
12×	`distribute-lft-out_binary64`
11×	`associate--r+_binary64`
10×	`exp-sum_binary64`
9×	`log-rec_binary64` `*-lft-identity_binary64` `remove-double-neg_binary64`
8×	`cube-mult_binary64` `mul-1-neg_binary64`
7×	`cube-unmult_binary64` `cube-neg_binary64` `div0_binary64` `distribute-rgt-out--_binary64`
5×	`swap-sqr_binary64` `distribute-neg-out_binary64` `distribute-neg-in_binary64`
4×	`sqr-neg_binary64`
3×	`exp-diff_binary64` `associate--l-_binary64`
2×	`exp-neg_binary64` `+-rgt-identity_binary64`
1×	`prod-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `+-lft-identity_binary64` `difference-of-squares_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` `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` `div-exp_binary64` `rec-exp_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` `fabs-div_binary64` `fabs-mul_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `pow-sqr_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `unswap-sqr_binary64` `cancel-sign-sub_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64`

Counts

147 → 70

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	219	2225
1	499	2136
2	1412	2115
3	4695	2115
4	5323	2115

prune55.0ms (1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	69	1	70
Fresh	3	4	7
Picked	0	1	1
Done	0	0	0
Total	72	6	78

Error

0.0b

Counts

78 → 6

Compiler

Compiled 942 to 479 computations (49.2% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (tan.f64 B) (*.f64 x (sin.f64 B)))
0.1b	(*.f64 x (sin.f64 B))
0.2b	(*.f64 (sin.f64 B) (tan.f64 B))
11.5b	(/.f64 (-.f64 (tan.f64 B) (.f64 x (sin.f64 B))) (.f64 (sin.f64 B) (tan.f64 B)))

rewrite86.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

14×	`add-sqr-sqrt_binary64`
13×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
10×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
8×	`pow1_binary64`
6×	`add-log-exp_binary64` `associate-l_binary64` `associate-r_binary64`
3×	`prod-exp_binary64` `cbrt-unprod_binary64` `times-frac_binary64` `associate-/l*_binary64`
2×	`div-exp_binary64` `cbrt-undiv_binary64` `flip3--_binary64` `associate-/l/_binary64` `flip--_binary64` `tan-quot_binary64` `associate-r/_binary64` `pow-prod-down_binary64` `unswap-sqr_binary64` `-commutative_binary64`
1×	`frac-2neg_binary64` `div-sub_binary64` `clear-num_binary64` `div-inv_binary64` `associate-/r/_binary64` `associate-/r*_binary64` `diff-log_binary64` `sub-neg_binary64` `cancel-sign-sub-inv_binary64`

Counts

4 → 74

Calls

4 calls:

8.0ms	(/.f64 (-.f64 (tan.f64 B) (.f64 x (sin.f64 B))) (.f64 (sin.f64 B) (tan.f64 B)))
5.0ms	(*.f64 (sin.f64 B) (tan.f64 B))
4.0ms	(*.f64 x (sin.f64 B))
4.0ms	(-.f64 (tan.f64 B) (*.f64 x (sin.f64 B)))

Compiler

Compiled 1460 to 256 computations (82.5% saved)

series179.0ms (3.4%)

Error

0.0b

Counts

4 → 39

Calls

4 calls:

78.0ms	(/.f64 (-.f64 (tan.f64 B) (.f64 x (sin.f64 B))) (.f64 (sin.f64 B) (tan.f64 B)))
41.0ms	(-.f64 (tan.f64 B) (*.f64 x (sin.f64 B)))
19.0ms	(*.f64 x (sin.f64 B))
15.0ms	(*.f64 (sin.f64 B) (tan.f64 B))

Compiler

Compiled 1465 to 939 computations (35.9% saved)

simplify101.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

659×	`times-frac_binary64`
360×	`associate-/l*_binary64`
342×	`div-sub_binary64`
341×	`associate-/r*_binary64`
260×	`cancel-sign-sub-inv_binary64`
160×	`distribute-rgt-neg-in_binary64`
150×	`associate-l_binary64`
140×	`associate-r_binary64`
138×	`distribute-rgt-in_binary64`
132×	`distribute-lft-neg-in_binary64`
124×	`exp-prod_binary64`
123×	`distribute-lft-in_binary64`
115×	`associate-/l/_binary64`
88×	`*-commutative_binary64`
87×	`+-commutative_binary64`
85×	`sub-neg_binary64`
74×	`associate-+r+_binary64`
72×	`associate-/r/_binary64`
64×	`associate-+l+_binary64`
51×	`distribute-rgt-out_binary64`
47×	`log-div_binary64` `log-prod_binary64` `cube-prod_binary64`
46×	`associate--l+_binary64`
43×	`cube-div_binary64`
42×	`neg-sub0_binary64` `sqr-pow_binary64`
40×	`neg-mul-1_binary64`
38×	`unswap-sqr_binary64`
27×	`distribute-neg-frac_binary64`
21×	`distribute-lft-out_binary64`
20×	`unsub-neg_binary64`
19×	`*-lft-identity_binary64` `distribute-lft-neg-out_binary64`
17×	`/-rgt-identity_binary64`
15×	`*-rgt-identity_binary64` `associate--r+_binary64`
14×	`associate-*l/_binary64`
12×	`associate-*r/_binary64`
11×	`exp-sum_binary64` `distribute-neg-in_binary64` `distribute-rgt-out--_binary64`
10×	`log-rec_binary64` `unpow3_binary64` `swap-sqr_binary64`
8×	`cube-unmult_binary64`
7×	`exp-diff_binary64`
6×	`distribute-rgt-neg-out_binary64` `distribute-lft-out--_binary64`
4×	`unpow1/2_binary64` `pow-plus_binary64` `distribute-rgt1-in_binary64`
3×	`cube-mult_binary64` `rem-sqrt-square_binary64` `mul-1-neg_binary64` `difference-of-squares_binary64`
2×	`log-pow_binary64` `unpow2_binary64` `unpow1_binary64` `+-rgt-identity_binary64` `*-inverses_binary64` `pow-sqr_binary64` `associate-+r-_binary64`
1×	`div-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `cube-neg_binary64` `fabs-mul_binary64` `sqr-neg_binary64` `remove-double-neg_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` `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` `fabs-div_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `rem-square-sqrt_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-lft1-in_binary64` `count-2_binary64` `associate--l-_binary64` `associate-+l-_binary64`

Counts

113 → 61

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	206	2142
1	534	1913
2	1811	1778
3	4347	1778
4	5388	1778

prune46.0ms (0.9%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	59	2	61
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	60	7	67

Error

0.0b

Counts

67 → 7

Compiler

Compiled 1027 to 418 computations (59.3% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (/.f64 (tan.f64 B) (sin.f64 B)) x)
0.0b	(sin.f64 B)
0.1b	(/.f64 (-.f64 (/.f64 (tan.f64 B) (sin.f64 B)) x) (tan.f64 B))
0.2b	(/.f64 (tan.f64 B) (sin.f64 B))

rewrite116.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

49×	`add-sqr-sqrt_binary64`
34×	`*-un-lft-identity_binary64`
32×	`times-frac_binary64`
24×	`add-cube-cbrt_binary64`
10×	`difference-of-squares_binary64`
9×	`associate-/l*_binary64`
8×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`add-log-exp_binary64` `associate-/r*_binary64`
5×	`distribute-lft-out--_binary64`
4×	`pow1_binary64`
3×	`associate-/l/_binary64` `cancel-sign-sub-inv_binary64`
2×	`div-exp_binary64` `cbrt-undiv_binary64` `frac-2neg_binary64` `clear-num_binary64` `div-inv_binary64` `tan-quot_binary64` `flip3--_binary64` `flip--_binary64`
1×	`div-sub_binary64` `associate-/r/_binary64` `diff-log_binary64` `sub-neg_binary64`

Counts

4 → 95

Calls

4 calls:

11.0ms	(/.f64 (-.f64 (/.f64 (tan.f64 B) (sin.f64 B)) x) (tan.f64 B))
8.0ms	(-.f64 (/.f64 (tan.f64 B) (sin.f64 B)) x)
4.0ms	(/.f64 (tan.f64 B) (sin.f64 B))
1.0ms	(sin.f64 B)

Compiler

Compiled 1721 to 353 computations (79.5% saved)

series150.0ms (2.8%)

Error

0.0b

Counts

4 → 36

Calls

4 calls:

67.0ms	(/.f64 (-.f64 (/.f64 (tan.f64 B) (sin.f64 B)) x) (tan.f64 B))
41.0ms	(-.f64 (/.f64 (tan.f64 B) (sin.f64 B)) x)
14.0ms	(/.f64 (tan.f64 B) (sin.f64 B))
7.0ms	(sin.f64 B)

Compiler

Compiled 940 to 708 computations (24.7% saved)

simplify144.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

564×	`div-sub_binary64`
384×	`associate-+l+_binary64`
308×	`associate-l_binary64`
289×	`associate-r_binary64`
262×	`associate-+r+_binary64`
195×	`+-commutative_binary64`
193×	`sub-neg_binary64`
192×	`*-commutative_binary64`
158×	`associate-/l*_binary64`
157×	`unswap-sqr_binary64`
146×	`associate-*l/_binary64`
127×	`associate-/l/_binary64`
124×	`associate--l+_binary64`
100×	`associate-/r/_binary64` `associate-/r*_binary64`
87×	`cancel-sign-sub-inv_binary64`
79×	`times-frac_binary64`
77×	`unsub-neg_binary64`
73×	`distribute-rgt-in_binary64`
68×	`distribute-lft-in_binary64` `associate-*r/_binary64`
63×	`exp-prod_binary64`
61×	`cube-prod_binary64`
56×	`sqr-pow_binary64`
54×	`neg-sub0_binary64`
48×	`neg-mul-1_binary64`
41×	`*-rgt-identity_binary64`
39×	`distribute-rgt-neg-in_binary64`
38×	`+-rgt-identity_binary64`
37×	`associate-+r-_binary64`
33×	`associate-+l-_binary64`
32×	`distribute-lft-neg-in_binary64`
25×	`exp-sum_binary64`
24×	`unpow3_binary64`
22×	`exp-diff_binary64`
20×	`sub0-neg_binary64`
19×	`cube-unmult_binary64` `distribute-rgt-out_binary64`
17×	`distribute-neg-frac_binary64`
14×	`cube-div_binary64`
13×	`pow-plus_binary64` `*-lft-identity_binary64`
12×	`/-rgt-identity_binary64` `difference-of-squares_binary64`
11×	`cube-mult_binary64` `distribute-lft-out_binary64`
10×	`log-prod_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `distribute-lft-neg-out_binary64`
9×	`associate--r+_binary64`
8×	`log-div_binary64` `distribute-rgt-out--_binary64`
7×	`mul-1-neg_binary64` `distribute-rgt-neg-out_binary64`
6×	`cube-neg_binary64`
5×	`distribute-neg-in_binary64`
4×	`unpow1/2_binary64` `sqr-neg_binary64` `rem-sqrt-square_binary64` `remove-double-neg_binary64` `swap-sqr_binary64` `associate--l-_binary64`
3×	`pow-sqr_binary64` `associate--r-_binary64`
2×	`fabs-mul_binary64` `fabs-sub_binary64` `div0_binary64` `*-inverses_binary64` `difference-of-sqr-1_binary64`
1×	`unpow2_binary64` `unpow1_binary64` `div-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-lft_binary64` `rem-square-sqrt_binary64` `--rgt-identity_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `cancel-sign-sub_binary64` `distribute-rgt1-in_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` `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` `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` `fabs-div_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `+-lft-identity_binary64` `+-inverses_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `count-2_binary64`

Counts

131 → 55

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	221	2548
1	516	2441
2	1293	2369
3	4087	2365
4	4768	2365
5	5615	2365

prune42.0ms (0.8%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	52	3	55
Fresh	3	1	4
Picked	1	0	1
Done	0	2	2
Total	56	6	62

Error

0.0b

Counts

62 → 6

Compiler

Compiled 758 to 317 computations (58.2% saved)

regimes794.0ms (14.9%)

Accuracy

Total 0.1b remaining (81.9%)

Threshold costs 0.1b (81.9%)

Compiler

Compiled 8506 to 6108 computations (28.2% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64` `+-commutative_binary64`
2×	`neg-mul-1_binary64` `neg-sub0_binary64` `sub-neg_binary64`
1×	`1-exp_binary64` `unsub-neg_binary64` `*-lft-identity_binary64` `distribute-frac-neg_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `unpow1_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `fabs-div_binary64` `fabs-mul_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `sqr-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-neg-frac_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: 1 (0.0ms)

Iter	Nodes	Cost
0	11	16
1	20	14
2	25	14
3	28	14
4	29	14
5	28	14

end1.0ms (0%)

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

sample1.6s (30.9%)

Algorithm

1×

intervals

Results

598.0ms	2242×	body	1024	valid
300.0ms	4084×	body	128	valid
224.0ms	1136×	body	512	valid
80.0ms	530×	body	256	valid
11.0ms	165×	body	128	invalid
4.0ms	8×	body	2048	valid

Compiler

Compiled 112 to 90 computations (19.6% 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

analyze994.0ms (18.7%)

sample53.0ms (1%)

simplify17.0ms (0.3%)

prune6.0ms (0.1%)

localize10.0ms (0.2%)

rewrite151.0ms (2.8%)

series145.0ms (2.7%)

simplify100.0ms (1.9%)

prune48.0ms (0.9%)

localize10.0ms (0.2%)

rewrite159.0ms (3%)

series132.0ms (2.5%)

simplify117.0ms (2.2%)

prune55.0ms (1%)

localize10.0ms (0.2%)

rewrite86.0ms (1.6%)

series179.0ms (3.4%)

simplify101.0ms (1.9%)

prune46.0ms (0.9%)

localize11.0ms (0.2%)

rewrite116.0ms (2.2%)

series150.0ms (2.8%)

simplify144.0ms (2.7%)

prune42.0ms (0.8%)

regimes794.0ms (14.9%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end1.0ms (0%)

sample1.6s (30.9%)

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