Details

analyze206.0ms (2.1%)

Algorithm

1×	search
2×	egg-herbie

Rules

708×	`associate-+l+_binary64`
673×	`associate-+r+_binary64`
459×	`div-sub_binary64`
372×	`*-commutative_binary64`
272×	`distribute-rgt-in_binary64` `distribute-lft-in_binary64`
210×	`sub-neg_binary64`
202×	`distribute-rgt-out_binary64` `associate-l_binary64`
194×	`times-frac_binary64`
190×	`associate-r_binary64`
183×	`unsub-neg_binary64`
164×	`+-commutative_binary64`
103×	`neg-mul-1_binary64`
92×	`distribute-lft-out_binary64`
91×	`associate-/r/_binary64`
89×	`neg-sub0_binary64`
88×	`associate-/l*_binary64`
68×	`cancel-sign-sub-inv_binary64`
56×	`associate-/r*_binary64`
45×	`associate-*l/_binary64`
39×	`associate-*r/_binary64`
35×	`associate--r+_binary64`
33×	`distribute-rgt-neg-out_binary64`
30×	`associate-/l/_binary64`
28×	`distribute-frac-neg_binary64`
27×	`distribute-lft-neg-out_binary64`
26×	`associate--r-_binary64`
25×	`associate-+l-_binary64`
24×	`distribute-lft-neg-in_binary64` `associate-+r-_binary64`
20×	`distribute-rgt-neg-in_binary64`
18×	`div0_binary64` `distribute-neg-in_binary64`
16×	`distribute-neg-frac_binary64`
6×	`sub0-neg_binary64` `swap-sqr_binary64`
4×	`distribute-neg-out_binary64`
3×	`mul-1-neg_binary64` `+-rgt-identity_binary64` `distribute-lft1-in_binary64`
2×	`sqr-neg_binary64` `associate--l+_binary64`
1×	`1-exp_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `log-rec_binary64` `log-div_binary64` `log-prod_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `unpow3_binary64` `unpow2_binary64` `unpow1/2_binary64` `pow-plus_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `exp-prod_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `exp-sum_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-unmult_binary64` `cube-mult_binary64` `cube-div_binary64` `cube-prod_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `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` `/-rgt-identity_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `remove-double-neg_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `pow-sqr_binary64` `sqr-pow_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `unswap-sqr_binary64` `cancel-sign-sub_binary64` `distribute-rgt1-in_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	45	172
1	100	172
2	349	172
3	1379	172
4	3193	172
5	4121	172
6	4980	172
7	4894	172
0	3	3
1	3	3

Search

True	Other	False	Iter
0%	28.1%	71.9%	0
0%	28.1%	71.9%	1
0%	28.1%	71.9%	2
0%	28.1%	71.9%	3
3.5%	24.6%	71.9%	4
5.3%	22.8%	71.9%	5
10.5%	17.5%	71.9%	6
14%	14%	71.9%	7
19.1%	9%	71.9%	8
24.6%	3.5%	71.9%	9
25.1%	3%	71.9%	10
25.8%	2.3%	71.9%	11
26.3%	1.8%	71.9%	12
26.6%	1.5%	71.9%	13
26.9%	1.2%	71.9%	14

Compiler

Compiled 39 to 27 computations (30.8% saved)

sample38.0ms (0.4%)

Algorithm

1×

intervals

Results

12.0ms	210×	body	128	valid
5.0ms	256×	pre	128	true
4.0ms	22×	body	512	valid
4.0ms	17×	body	1024	valid
1.0ms	7×	body	256	valid

Compiler

Compiled 68 to 50 computations (26.5% saved)

simplify78.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

847×	`times-frac_binary64`
817×	`distribute-rgt-in_binary64`
748×	`distribute-lft-in_binary64`
576×	`sub-neg_binary64`
537×	`div-sub_binary64`
255×	`+-commutative_binary64`
194×	`associate-+l+_binary64`
187×	`*-commutative_binary64`
183×	`associate-+r+_binary64`
142×	`associate-/l*_binary64`
137×	`unsub-neg_binary64`
117×	`neg-mul-1_binary64`
115×	`associate-*l/_binary64`
111×	`neg-sub0_binary64`
104×	`distribute-rgt-out_binary64`
103×	`associate-l_binary64`
100×	`associate-r_binary64`
98×	`associate-*r/_binary64`
60×	`distribute-lft-out_binary64`
55×	`associate-+l-_binary64`
44×	`associate--r+_binary64`
42×	`associate-/r*_binary64`
33×	`cancel-sign-sub-inv_binary64` `distribute-frac-neg_binary64` `distribute-rgt-neg-out_binary64`
32×	`associate--l+_binary64`
28×	`associate-/l/_binary64` `associate-/r/_binary64`
27×	`distribute-lft-neg-out_binary64`
25×	`associate-+r-_binary64`
24×	`mul0-rgt_binary64`
23×	`mul0-lft_binary64`
21×	`distribute-rgt-neg-in_binary64`
20×	`distribute-lft-neg-in_binary64`
18×	`distribute-neg-out_binary64`
14×	`distribute-neg-in_binary64`
12×	`distribute-neg-frac_binary64`
10×	`-rgt-identity_binary64` `-lft-identity_binary64`
8×	`distribute-rgt-out--_binary64`
6×	`sub0-neg_binary64` `div0_binary64` `distribute-lft1-in_binary64`
5×	`distribute-rgt1-in_binary64`
4×	`associate--r-_binary64`
3×	`associate--l-_binary64`
2×	`mul-1-neg_binary64` `swap-sqr_binary64`
1×	`1-exp_binary64` `sqr-neg_binary64` `remove-double-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_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` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `/-rgt-identity_binary64` `+-lft-identity_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` `cancel-sign-sub_binary64` `distribute-lft-out--_binary64` `count-2_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	43
1	34	43
2	106	43
3	409	43
4	1505	43
5	2316	43
6	3123	43
7	4954	43
8	4973	43
9	5371	43

prune3.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

26.4b

Counts

2 → 1

Compiler

Compiled 58 to 40 computations (31% saved)

localize17.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.1b

(/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2))

1.6b

(+.f64 (/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1)

21.0b

(/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 2 i)))

rewrite355.0ms (3.6%)

Algorithm

1×	rewrite-expression-head

Error

11.1b

Rules

54×	`times-frac_binary64`
47×	`*-un-lft-identity_binary64`
25×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
17×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
14×	`associate-/r/_binary64`
11×	`flip3-+_binary64` `flip-+_binary64` `distribute-lft-out_binary64`
10×	`associate-/l*_binary64`
9×	`associate-/l/_binary64`
7×	`div-exp_binary64` `cbrt-undiv_binary64` `div-inv_binary64` `associate-/r*_binary64`
5×	`add-log-exp_binary64`
4×	`frac-times_binary64`
3×	`pow1_binary64` `flip3--_binary64` `flip--_binary64`
2×	`prod-exp_binary64` `cbrt-unprod_binary64` `frac-2neg_binary64` `clear-num_binary64` `associate-l/_binary64` `associate-r/_binary64`
1×	`sum-log_binary64` `+-commutative_binary64`

Counts

3 → 111

Calls

3 calls:

31.0ms

(+.f64 (/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1)

22.0ms

(/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2))

15.0ms

(/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 2 i)))

Compiler

Compiled 4866 to 2450 computations (49.7% saved)

series840.0ms (8.6%)

Error

0.5b

Counts

3 → 62

Calls

3 calls:

407.0ms

(+.f64 (/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1)

275.0ms

(/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2))

58.0ms

(/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 2 i)))

Compiler

Compiled 11542 to 8954 computations (22.4% saved)

simplify177.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

804×	`times-frac_binary64`
313×	`distribute-rgt-in_binary64`
299×	`distribute-lft-in_binary64`
162×	`+-commutative_binary64`
149×	`associate-/l/_binary64`
146×	`*-commutative_binary64`
118×	`associate-+r+_binary64`
105×	`sub-neg_binary64`
85×	`associate-*r/_binary64`
62×	`associate-/l*_binary64`
59×	`associate-/r*_binary64`
51×	`cancel-sign-sub-inv_binary64`
49×	`distribute-neg-in_binary64`
41×	`sqr-pow_binary64`
33×	`div-sub_binary64`
32×	`neg-sub0_binary64`
29×	`neg-mul-1_binary64` `distribute-rgt-out_binary64`
27×	`unswap-sqr_binary64`
21×	`associate--l+_binary64`
20×	`associate-r_binary64`
17×	`distribute-lft-out_binary64` `associate--r+_binary64`
15×	`distribute-rgt-neg-in_binary64`
13×	`distribute-neg-frac_binary64`
11×	`unpow3_binary64` `/-rgt-identity_binary64`
10×	`log-div_binary64` `distribute-lft-neg-in_binary64`
9×	`cube-mult_binary64` `cube-div_binary64`
8×	`unpow2_binary64` `unpow1_binary64` `associate-l_binary64`
7×	`-rgt-identity_binary64` `-lft-identity_binary64`
6×	`swap-sqr_binary64`
5×	`associate-/r/_binary64`
4×	`cube-prod_binary64` `mul-1-neg_binary64` `distribute-rgt1-in_binary64`
3×	`log-prod_binary64` `cube-unmult_binary64` `distribute-lft-neg-out_binary64` `distribute-rgt-out--_binary64` `associate-*l/_binary64` `associate-+r-_binary64`
2×	`exp-prod_binary64` `associate-+l+_binary64`
1×	`prod-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `unsub-neg_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_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` `log-rec_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `unpow1/2_binary64` `pow-plus_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `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-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` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `pow-sqr_binary64` `difference-of-sqr--1_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `count-2_binary64` `associate--r-_binary64` `associate-+l-_binary64`

Counts

173 → 154

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	631	10988
1	2063	10664
2	5064	10664

prune415.0ms (4.2%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	149	5	154
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	150	5	155

Error

0.0b

Counts

155 → 5

Compiler

Compiled 7229 to 4067 computations (43.7% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (-.f64 beta alpha) (+.f64 (*.f64 2 i) (+.f64 beta alpha)))
0.1b	(/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (.f64 2 i) (+.f64 beta alpha))) (+.f64 2 (+.f64 (.f64 2 i) (+.f64 beta alpha))))
1.9b	(.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (.f64 2 i) (+.f64 beta alpha))) (+.f64 2 (+.f64 (*.f64 2 i) (+.f64 beta alpha)))))
3.6b	(+.f64 (.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (.f64 2 i) (+.f64 beta alpha))) (+.f64 2 (+.f64 (*.f64 2 i) (+.f64 beta alpha))))) 1)

rewrite455.0ms (4.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

321×	`times-frac_binary64`
290×	`*-un-lft-identity_binary64`
211×	`add-sqr-sqrt_binary64`
140×	`add-cube-cbrt_binary64`
90×	`associate-r_binary64`
44×	`distribute-lft-out_binary64`
31×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
26×	`associate-/l*_binary64`
24×	`associate-/r/_binary64`
20×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
15×	`flip3-+_binary64` `flip-+_binary64`
12×	`div-inv_binary64`
7×	`div-exp_binary64` `cbrt-undiv_binary64` `associate-/r*_binary64`
6×	`add-log-exp_binary64` `pow1_binary64`
4×	`associate-l_binary64`
3×	`prod-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `div-sub_binary64` `associate-/l/_binary64`
2×	`frac-times_binary64` `associate-*l/_binary64` `frac-2neg_binary64` `clear-num_binary64`
1×	`sum-log_binary64` `+-commutative_binary64` `pow-prod-down_binary64` `associate-r/_binary64` `-commutative_binary64` `flip3--_binary64` `flip--_binary64`

Counts

4 → 295

Calls

4 calls:

41.0ms	(.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (.f64 2 i) (+.f64 beta alpha))) (+.f64 2 (+.f64 (*.f64 2 i) (+.f64 beta alpha)))))
31.0ms	(+.f64 (.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (.f64 2 i) (+.f64 beta alpha))) (+.f64 2 (+.f64 (*.f64 2 i) (+.f64 beta alpha))))) 1)
20.0ms	(/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (.f64 2 i) (+.f64 beta alpha))) (+.f64 2 (+.f64 (.f64 2 i) (+.f64 beta alpha))))
11.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (*.f64 2 i) (+.f64 beta alpha)))

Compiler

Compiled 11513 to 6062 computations (47.3% saved)

series1.2s (12.2%)

Error

0.0b

Counts

4 → 92

Calls

4 calls:

404.0ms	(+.f64 (.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (.f64 2 i) (+.f64 beta alpha))) (+.f64 2 (+.f64 (*.f64 2 i) (+.f64 beta alpha))))) 1)
286.0ms	(/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (.f64 2 i) (+.f64 beta alpha))) (+.f64 2 (+.f64 (.f64 2 i) (+.f64 beta alpha))))
273.0ms	(.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (.f64 2 i) (+.f64 beta alpha))) (+.f64 2 (+.f64 (*.f64 2 i) (+.f64 beta alpha)))))
86.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (*.f64 2 i) (+.f64 beta alpha)))

Compiler

Compiled 18113 to 13856 computations (23.5% saved)

simplify453.0ms (4.6%)

Algorithm

1×	egg-herbie

Rules

388×	`distribute-rgt-in_binary64`
268×	`*-commutative_binary64`
263×	`+-commutative_binary64`
209×	`associate-*r/_binary64`
195×	`associate-+r+_binary64`
175×	`sub-neg_binary64`
128×	`div-sub_binary64`
92×	`associate-/r*_binary64`
86×	`cancel-sign-sub-inv_binary64` `distribute-neg-in_binary64`
81×	`associate-/l/_binary64`
75×	`associate-/l*_binary64`
56×	`times-frac_binary64`
46×	`neg-sub0_binary64`
43×	`neg-mul-1_binary64` `distribute-rgt-out_binary64`
41×	`sqr-pow_binary64`
33×	`associate--l+_binary64`
31×	`distribute-lft-out_binary64` `associate--r+_binary64`
27×	`unswap-sqr_binary64`
23×	`/-rgt-identity_binary64`
21×	`associate-r_binary64`
20×	`distribute-lft-in_binary64`
18×	`distribute-rgt-neg-in_binary64`
15×	`log-prod_binary64`
13×	`associate-/r/_binary64`
12×	`unpow3_binary64` `exp-prod_binary64` `distribute-neg-frac_binary64` `associate-l_binary64`
10×	`log-div_binary64` `distribute-lft-neg-in_binary64`
9×	`cube-mult_binary64` `cube-prod_binary64`
8×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `*-rgt-identity_binary64` `swap-sqr_binary64`
7×	`*-lft-identity_binary64`
5×	`distribute-lft-neg-out_binary64` `associate-+r-_binary64`
4×	`cube-unmult_binary64` `distribute-rgt1-in_binary64`
3×	`exp-diff_binary64` `cube-div_binary64` `mul-1-neg_binary64`
2×	`exp-sum_binary64` `unsub-neg_binary64` `difference-of-squares_binary64` `distribute-rgt-out--_binary64` `associate-*l/_binary64`
1×	`log-pow_binary64` `pow-plus_binary64` `prod-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `difference-of-sqr-1_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-rec_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `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` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `pow-sqr_binary64` `difference-of-sqr--1_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `count-2_binary64` `associate--r-_binary64` `associate-+l-_binary64` `associate-+l+_binary64`

Counts

387 → 355

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1006	22904
1	3242	22414
2	4965	22414
3	4971	22414

prune502.0ms (5.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	355	0	355
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	355	5	360

Error

0.0b

Counts

360 → 5

Compiler

Compiled 15315 to 8540 computations (44.2% saved)

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.4b	(/.f64 (+.f64 beta alpha) (sqrt.f64 (+.f64 (*.f64 2 i) (+.f64 beta alpha))))
0.4b	(/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 (*.f64 2 i) (+.f64 beta alpha))))
0.4b	(.f64 (/.f64 (+.f64 beta alpha) (sqrt.f64 (+.f64 (.f64 2 i) (+.f64 beta alpha)))) (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 (*.f64 2 i) (+.f64 beta alpha)))))
7.5b	(+.f64 (/.f64 (.f64 (/.f64 (+.f64 beta alpha) (sqrt.f64 (+.f64 (.f64 2 i) (+.f64 beta alpha)))) (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 (.f64 2 i) (+.f64 beta alpha))))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) 2)) 1)

rewrite381.0ms (3.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

128×	`add-sqr-sqrt_binary64`
126×	`*-un-lft-identity_binary64`
120×	`times-frac_binary64`
72×	`add-cube-cbrt_binary64`
66×	`sqrt-prod_binary64`
36×	`associate-r_binary64`
30×	`associate-l_binary64`
20×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
14×	`distribute-lft-out_binary64`
13×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
12×	`associate-/r*_binary64`
9×	`unswap-sqr_binary64` `associate-/l*_binary64`
8×	`sqrt-div_binary64` `associate-/r/_binary64`
6×	`add-log-exp_binary64` `pow1_binary64` `flip3-+_binary64` `flip-+_binary64` `div-exp_binary64` `cbrt-undiv_binary64`
4×	`prod-exp_binary64` `cbrt-unprod_binary64` `div-inv_binary64` `associate-/l/_binary64`
2×	`frac-2neg_binary64` `clear-num_binary64`
1×	`sum-log_binary64` `+-commutative_binary64` `pow-prod-down_binary64` `frac-times_binary64` `associate-l/_binary64` `associate-r/_binary64` `*-commutative_binary64` `div-sub_binary64` `flip3--_binary64` `flip--_binary64`

Counts

4 → 215

Calls

4 calls:

42.0ms	(.f64 (/.f64 (+.f64 beta alpha) (sqrt.f64 (+.f64 (.f64 2 i) (+.f64 beta alpha)))) (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 (*.f64 2 i) (+.f64 beta alpha)))))
35.0ms	(+.f64 (/.f64 (.f64 (/.f64 (+.f64 beta alpha) (sqrt.f64 (+.f64 (.f64 2 i) (+.f64 beta alpha)))) (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 (.f64 2 i) (+.f64 beta alpha))))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) 2)) 1)
17.0ms	(/.f64 (+.f64 beta alpha) (sqrt.f64 (+.f64 (*.f64 2 i) (+.f64 beta alpha))))
12.0ms	(/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 (*.f64 2 i) (+.f64 beta alpha))))

Compiler

Compiled 9237 to 4897 computations (47% saved)

series660.0ms (6.7%)

Error

0.0b

Counts

4 → 62

Calls

4 calls:

406.0ms	(+.f64 (/.f64 (.f64 (/.f64 (+.f64 beta alpha) (sqrt.f64 (+.f64 (.f64 2 i) (+.f64 beta alpha)))) (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 (.f64 2 i) (+.f64 beta alpha))))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) 2)) 1)
66.0ms	(/.f64 (+.f64 beta alpha) (sqrt.f64 (+.f64 (*.f64 2 i) (+.f64 beta alpha))))
63.0ms	(/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 (*.f64 2 i) (+.f64 beta alpha))))
59.0ms	(.f64 (/.f64 (+.f64 beta alpha) (sqrt.f64 (+.f64 (.f64 2 i) (+.f64 beta alpha)))) (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 (*.f64 2 i) (+.f64 beta alpha)))))

Compiler

Compiled 9273 to 7040 computations (24.1% saved)

simplify207.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

421×	`associate-/l*_binary64`
410×	`times-frac_binary64`
309×	`associate-/r*_binary64`
294×	`associate-*r/_binary64`
286×	`associate-*l/_binary64`
157×	`*-commutative_binary64`
152×	`distribute-rgt-in_binary64`
143×	`distribute-lft-in_binary64`
94×	`sub-neg_binary64`
92×	`+-commutative_binary64`
83×	`associate-/l/_binary64`
66×	`cancel-sign-sub-inv_binary64`
52×	`associate-+r+_binary64`
48×	`associate-/r/_binary64`
40×	`sqr-pow_binary64`
35×	`neg-sub0_binary64`
34×	`distribute-neg-in_binary64`
29×	`neg-mul-1_binary64`
26×	`div-sub_binary64`
23×	`distribute-rgt-neg-in_binary64`
21×	`distribute-rgt-out_binary64`
16×	`associate-r_binary64`
15×	`distribute-lft-neg-in_binary64`
14×	`associate-l_binary64` `associate--l+_binary64`
12×	`associate--r+_binary64`
11×	`unpow3_binary64`
10×	`cube-mult_binary64` `unswap-sqr_binary64` `distribute-neg-frac_binary64`
9×	`mul-1-neg_binary64` `/-rgt-identity_binary64`
8×	`unpow2_binary64` `unpow1_binary64` `swap-sqr_binary64`
7×	`*-rgt-identity_binary64`
6×	`log-div_binary64` `exp-prod_binary64` `cube-div_binary64`
5×	`cube-unmult_binary64` `cube-prod_binary64` `distribute-lft-neg-out_binary64` `associate-+r-_binary64`
4×	`distribute-rgt1-in_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out_binary64`
3×	`log-prod_binary64` `*-lft-identity_binary64`
2×	`rem-sqrt-square_binary64` `associate-+l-_binary64` `associate-+l+_binary64`
1×	`prod-exp_binary64` `exp-diff_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-square-sqrt_binary64` `unsub-neg_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_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` `unpow1/2_binary64` `pow-plus_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `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-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` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `pow-sqr_binary64` `difference-of-sqr--1_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `count-2_binary64` `associate--r-_binary64` `associate--l-_binary64`

Counts

277 → 246

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	548	11951
1	1692	10547
2	5039	10547

prune232.0ms (2.4%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	246	0	246
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	246	5	251

Error

0.0b

Counts

251 → 5

Compiler

Compiled 8710 to 4964 computations (43% saved)

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b	(/.f64 (+.f64 (.f64 i 4) (+.f64 2 (.f64 beta 2))) alpha)

rewrite41.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

9×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `times-frac_binary64` `*-un-lft-identity_binary64`
3×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-/l_binary64` `associate-/r_binary64`
2×	`associate-/l/_binary64`
1×	`pow1_binary64` `div-exp_binary64` `add-log-exp_binary64` `cbrt-undiv_binary64` `frac-2neg_binary64` `clear-num_binary64` `div-inv_binary64` `flip3-+_binary64` `flip-+_binary64`

Counts

1 → 29

Calls

1 calls:

8.0ms

(/.f64 (+.f64 (*.f64 i 4) (+.f64 2 (*.f64 beta 2))) alpha)

Compiler

Compiled 724 to 555 computations (23.3% saved)

series51.0ms (0.5%)

Error

0.0b

Counts

1 → 15

Calls

1 calls:

45.0ms

(/.f64 (+.f64 (*.f64 i 4) (+.f64 2 (*.f64 beta 2))) alpha)

Compiler

Compiled 416 to 383 computations (7.9% saved)

simplify101.0ms (1%)

Algorithm

1×	egg-herbie

Rules

373×	`associate-/l*_binary64`
342×	`distribute-rgt-in_binary64`
327×	`associate-*l/_binary64`
308×	`distribute-lft-in_binary64`
248×	`associate-*r/_binary64`
231×	`times-frac_binary64`
227×	`cancel-sign-sub-inv_binary64`
225×	`distribute-rgt-out_binary64`
204×	`associate-l_binary64`
198×	`div-sub_binary64`
167×	`associate-r_binary64`
150×	`associate-/l/_binary64`
124×	`*-commutative_binary64`
120×	`associate--l+_binary64`
115×	`distribute-lft-out_binary64`
110×	`associate-/r*_binary64`
103×	`unsub-neg_binary64`
91×	`distribute-rgt-neg-in_binary64`
82×	`distribute-lft-neg-in_binary64`
77×	`neg-mul-1_binary64` `sub-neg_binary64`
75×	`neg-sub0_binary64`
66×	`associate-/r/_binary64`
59×	`distribute-rgt-out--_binary64`
55×	`associate-+r+_binary64`
53×	`associate-+l+_binary64`
41×	`distribute-neg-in_binary64`
30×	`+-commutative_binary64`
27×	`distribute-lft-neg-out_binary64`
24×	`associate--r+_binary64`
21×	`distribute-rgt-neg-out_binary64`
19×	`distribute-lft-out--_binary64`
14×	`cube-prod_binary64`
12×	`*-rgt-identity_binary64`
11×	`/-rgt-identity_binary64` `*-lft-identity_binary64`
10×	`associate--l-_binary64` `associate-+l-_binary64` `associate-+r-_binary64`
9×	`cube-div_binary64` `associate--r-_binary64`
8×	`+-rgt-identity_binary64`
6×	`unpow3_binary64` `sqr-pow_binary64` `swap-sqr_binary64`
5×	`cube-unmult_binary64` `sub0-neg_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64`
4×	`log-prod_binary64` `cube-mult_binary64`
3×	`log-div_binary64`
2×	`exp-diff_binary64` `distribute-frac-neg_binary64`
1×	`1-exp_binary64` `distribute-neg-frac_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` `log-rec_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` `exp-prod_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-neg_binary64` `exp-sum_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `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` `remove-double-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` `pow-sqr_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `unswap-sqr_binary64` `cancel-sign-sub_binary64` `distribute-neg-out_binary64`

Counts

44 → 37

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	80	1029
1	194	961
2	640	958
3	2167	958
4	4378	958
5	4981	958
6	4931	958

prune28.0ms (0.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	36	1	37
Fresh	0	2	2
Picked	1	0	1
Done	0	2	2
Total	37	5	42

Error

0.0b

Counts

42 → 5

Compiler

Compiled 619 to 469 computations (24.2% saved)

regimes1.8s (18.8%)

Accuracy

Total 1.4b remaining (96.4%)

Threshold costs 0b (0%)

Compiler

Compiled 30008 to 22139 computations (26.2% saved)

bsearch7.0ms (0.1%)

Compiler: Compiled 25 to 16 computations (36% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

8×	`+-commutative_binary64`
5×	`*-commutative_binary64`
2×	`sub-neg_binary64`
1×	`1-exp_binary64` `neg-mul-1_binary64` `neg-sub0_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` `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-neg-frac_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	30	104
1	44	104
2	48	104
3	50	104
4	51	104
5	50	104

end1.0ms (0%)

Compiler: Compiled 70 to 44 computations (37.1% saved)

sample1.5s (15%)

Algorithm

1×

intervals

Results

383.0ms	6397×	body	128	valid
178.0ms	8000×	pre	128	true
163.0ms	709×	body	1024	valid
92.0ms	560×	body	512	valid
36.0ms	294×	body	256	valid
11.0ms	40×	body	2048	valid

Compiler

Compiled 421 to 286 computations (32.1% saved)

Details

analyze206.0ms (2.1%)

sample38.0ms (0.4%)

simplify78.0ms (0.8%)

prune3.0ms (0%)

localize17.0ms (0.2%)

rewrite355.0ms (3.6%)

series840.0ms (8.6%)

simplify177.0ms (1.8%)

prune415.0ms (4.2%)

localize13.0ms (0.1%)

rewrite455.0ms (4.6%)

series1.2s (12.2%)

simplify453.0ms (4.6%)

prune502.0ms (5.1%)

localize17.0ms (0.2%)

rewrite381.0ms (3.9%)

series660.0ms (6.7%)

simplify207.0ms (2.1%)

prune232.0ms (2.4%)

localize8.0ms (0.1%)

rewrite41.0ms (0.4%)

series51.0ms (0.5%)

simplify101.0ms (1%)

prune28.0ms (0.3%)

regimes1.8s (18.8%)

bsearch7.0ms (0.1%)

simplify6.0ms (0.1%)

end1.0ms (0%)

sample1.5s (15%)

Profiling