Details

analyze456.0ms (3.6%)

Algorithm

1×	search
2×	egg-herbie

Rules

570×	`neg-mul-1_binary64`
442×	`div-sub_binary64`
428×	`unswap-sqr_binary64`
418×	`associate-/l*_binary64`
306×	`associate-l_binary64`
304×	`distribute-rgt-in_binary64`
286×	`associate-/r*_binary64`
278×	`distribute-frac-neg_binary64`
228×	`associate-/l/_binary64`
210×	`associate-r_binary64`
205×	`*-commutative_binary64`
188×	`distribute-rgt-neg-out_binary64`
154×	`associate-/r/_binary64`
134×	`associate-*r/_binary64`
116×	`distribute-lft-neg-out_binary64`
106×	`associate-*l/_binary64`
70×	`sub-neg_binary64`
64×	`distribute-lft-in_binary64`
56×	`neg-sub0_binary64`
50×	`sqr-pow_binary64`
36×	`cube-prod_binary64`
30×	`*-lft-identity_binary64` `pow-sqr_binary64` `distribute-neg-frac_binary64`
24×	`+-commutative_binary64`
22×	`/-rgt-identity_binary64`
20×	`pow-plus_binary64`
18×	`distribute-lft-neg-in_binary64`
14×	`unsub-neg_binary64` `distribute-rgt-neg-in_binary64`
12×	`*-rgt-identity_binary64` `sub0-neg_binary64`
10×	`cube-unmult_binary64` `associate-+l-_binary64`
8×	`unpow3_binary64`
4×	`unpow2_binary64` `cube-mult_binary64` `--rgt-identity_binary64` `associate-+l+_binary64`
2×	`unpow1_binary64` `remove-double-div_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` `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` `unpow1/2_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` `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-div_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` `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` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `swap-sqr_binary64` `cancel-sign-sub-inv_binary64` `cancel-sign-sub_binary64` `distribute-neg-out_binary64` `distribute-neg-in_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-rgt-out_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `count-2_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--l+_binary64` `associate-+r-_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	50
1	52	44
2	113	44
3	232	44
4	507	44
5	1156	44
6	2424	44
7	4691	44
8	4942	44
0	2	2
1	2	2

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	50%	50%	2
0%	50%	50%	3
0%	50%	50%	4
12.5%	37.5%	50%	5
15.6%	31.2%	53.2%	6
17.2%	26.5%	56.3%	7
18%	22.6%	59.4%	8
18.3%	19.9%	61.8%	9
18.5%	17.8%	63.7%	10
18.6%	16.3%	65.1%	11
18.7%	15.2%	66.1%	12
18.7%	14.4%	66.9%	13
18.7%	13.8%	67.4%	14

Compiler

Compiled 17 to 16 computations (5.9% saved)

sample70.0ms (0.6%)

Algorithm

1×

intervals

Results

19.0ms	256×	body	128	valid
15.0ms	32×	body	1024	nan
9.0ms	69×	body	128	overflowed
6.0ms	20×	body	512	nan
2.0ms	13×	body	256	nan
2.0ms	28×	body	128	nan
0.0ms	4×	body	128	invalid

Compiler

Compiled 33 to 33 computations (0% saved)

simplify52.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

788×	`neg-mul-1_binary64`
672×	`associate-/l*_binary64`
625×	`associate-/r*_binary64`
480×	`div-sub_binary64`
445×	`distribute-frac-neg_binary64`
288×	`distribute-rgt-neg-out_binary64`
267×	`associate-*r/_binary64`
257×	`associate-*l/_binary64`
235×	`distribute-lft-neg-out_binary64`
214×	`unswap-sqr_binary64`
164×	`*-commutative_binary64`
153×	`associate-l_binary64`
150×	`distribute-rgt-in_binary64`
125×	`distribute-lft-in_binary64`
115×	`associate-/l/_binary64`
105×	`associate-r_binary64`
77×	`associate-/r/_binary64`
76×	`sub-neg_binary64`
68×	`neg-sub0_binary64`
40×	`*-lft-identity_binary64`
38×	`sqr-pow_binary64`
27×	`cube-prod_binary64`
25×	`*-rgt-identity_binary64`
21×	`pow-sqr_binary64`
20×	`unsub-neg_binary64`
18×	`/-rgt-identity_binary64`
17×	`+-commutative_binary64`
15×	`pow-plus_binary64` `distribute-neg-frac_binary64`
12×	`associate-+l-_binary64`
9×	`unpow3_binary64` `distribute-lft-neg-in_binary64`
7×	`sub0-neg_binary64` `distribute-rgt-neg-in_binary64`
6×	`cube-unmult_binary64` `cube-mult_binary64`
4×	`unpow2_binary64`
3×	`--rgt-identity_binary64` `remove-double-div_binary64` `associate--r+_binary64` `associate-+l+_binary64`
2×	`unpow1_binary64`
1×	`unpow1/2_binary64` `1-exp_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` `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` `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-div_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` `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` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `swap-sqr_binary64` `cancel-sign-sub-inv_binary64` `cancel-sign-sub_binary64` `distribute-neg-out_binary64` `distribute-neg-in_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-rgt-out_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `count-2_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--l+_binary64` `associate-+r-_binary64`

Counts

1 → 1

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	25
1	32	22
2	65	22
3	128	22
4	277	22
5	623	22
6	1296	22
7	3024	22
8	4691	22
9	4933	22

prune4.0ms (0%)

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

0.3b

Counts

2 → 2

Compiler

Compiled 44 to 41 computations (6.8% saved)

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.2b	(pow.f64 (.f64 (.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))
0.2b	(/.f64 (pow.f64 (.f64 (.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 k))
0.3b	(.f64 (.f64 2 PI.f64) n)

rewrite207.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

48×	`times-frac_binary64`
42×	`add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
33×	`add-cube-cbrt_binary64`
26×	`add-exp-log_binary64`
22×	`pow-unpow_binary64`
18×	`sqrt-prod_binary64`
14×	`pow1_binary64`
10×	`add-cbrt-cube_binary64`
9×	`prod-exp_binary64`
8×	`unpow-prod-down_binary64` `sqr-pow_binary64`
6×	`pow-prod-down_binary64` `pow-exp_binary64` `associate-/r*_binary64` `difference-of-squares_binary64`
5×	`div-exp_binary64` `associate-/l*_binary64`
3×	`add-log-exp_binary64` `cbrt-unprod_binary64` `associate-r_binary64` `distribute-lft-out--_binary64` `pow-pow_binary64`
2×	`pow-to-exp_binary64` `div-inv_binary64` `div-sub_binary64` `pow-sub_binary64`
1×	`associate-l_binary64` `*-commutative_binary64` `cbrt-undiv_binary64` `frac-2neg_binary64` `clear-num_binary64` `associate-/l/_binary64`

Counts

3 → 115

Calls

3 calls:

11.0ms	(/.f64 (pow.f64 (.f64 (.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 k))
11.0ms	(pow.f64 (.f64 (.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))
5.0ms	(.f64 (.f64 2 PI.f64) n)

Compiler

Compiled 2465 to 1670 computations (32.3% saved)

series105.0ms (0.8%)

Error

0.2b

Counts

3 → 18

Calls

3 calls:

41.0ms	(/.f64 (pow.f64 (.f64 (.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 k))
40.0ms	(pow.f64 (.f64 (.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))
10.0ms	(.f64 (.f64 2 PI.f64) n)

Compiler

Compiled 1015 to 812 computations (20% saved)

simplify173.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

540×	`distribute-rgt-in_binary64`
536×	`distribute-lft-in_binary64`
207×	`associate-/l/_binary64`
169×	`associate-l_binary64`
151×	`exp-prod_binary64`
146×	`times-frac_binary64`
142×	`associate-r_binary64`
117×	`sqr-pow_binary64`
109×	`cancel-sign-sub-inv_binary64`
97×	`*-commutative_binary64`
86×	`associate-/r/_binary64`
78×	`log-pow_binary64`
76×	`log-prod_binary64`
56×	`associate-/l*_binary64`
54×	`distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64`
43×	`pow-sqr_binary64`
40×	`unswap-sqr_binary64`
36×	`sub-neg_binary64`
32×	`exp-sum_binary64`
22×	`exp-to-pow_binary64`
20×	`-rgt-identity_binary64` `associate-/r_binary64`
19×	`log-div_binary64`
18×	`cube-prod_binary64` `swap-sqr_binary64` `distribute-lft-neg-out_binary64`
17×	`neg-mul-1_binary64` `neg-sub0_binary64`
16×	`distribute-rgt-neg-out_binary64`
15×	`unpow3_binary64`
14×	`-lft-identity_binary64` `associate-l/_binary64` `associate-*r/_binary64` `+-commutative_binary64`
13×	`distribute-lft-out--_binary64`
11×	`cube-unmult_binary64`
10×	`exp-diff_binary64` `/-rgt-identity_binary64`
9×	`unpow1/2_binary64` `associate--l+_binary64`
8×	`pow-plus_binary64` `div-sub_binary64` `unsub-neg_binary64`
6×	`distribute-neg-frac_binary64`
5×	`prod-exp_binary64` `rem-sqrt-square_binary64` `distribute-rgt-out_binary64` `associate-+l+_binary64`
4×	`unpow1_binary64` `distribute-neg-in_binary64` `distribute-rgt-out--_binary64` `associate--r+_binary64`
3×	`log-rec_binary64` `exp-lft-sqr_binary64` `cube-div_binary64` `distribute-lft-out_binary64`
2×	`unpow2_binary64` `cube-mult_binary64` `fabs-mul_binary64` `count-2_binary64` `associate--r-_binary64`
1×	`1-exp_binary64` `exp-1-e_binary64` `fabs-div_binary64` `fabs-sqr_binary64` `rem-square-sqrt_binary64` `mul-1-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` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_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-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `sqr-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` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `associate--l-_binary64` `associate-+l-_binary64` `associate-+r-_binary64`

Counts

133 → 119

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	238	3741
1	512	3560
2	1621	3374
3	4697	3370
4	4981	3370
5	4975	3370

prune117.0ms (0.9%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	112	7	119
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	114	7	121

Error

0.0b

Counts

121 → 7

Compiler

Compiled 1920 to 1235 computations (35.7% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(pow.f64 (.f64 (.f64 2 PI.f64) n) (/.f64 1 2))
0.2b	(/.f64 (pow.f64 (.f64 (.f64 2 PI.f64) n) (/.f64 1 2)) (.f64 (sqrt.f64 k) (pow.f64 (.f64 2 (*.f64 n PI.f64)) (/.f64 k 2))))
0.3b	(*.f64 n PI.f64)
0.3b	(.f64 (.f64 2 PI.f64) n)

rewrite212.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

124×	`add-exp-log_binary64`
65×	`prod-exp_binary64`
36×	`pow-exp_binary64`
30×	`div-exp_binary64`
18×	`add-sqr-sqrt_binary64`
17×	`pow1_binary64`
16×	`add-cbrt-cube_binary64` `add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
14×	`times-frac_binary64`
13×	`pow-unpow_binary64`
12×	`pow-to-exp_binary64`
7×	`pow-prod-down_binary64`
6×	`associate-r_binary64`
5×	`cbrt-unprod_binary64` `associate-/l*_binary64`
4×	`add-log-exp_binary64` `associate-l_binary64`
3×	`unpow-prod-down_binary64` `sqr-pow_binary64` `pow-pow_binary64`
2×	`*-commutative_binary64` `cbrt-undiv_binary64` `div-inv_binary64`
1×	`unswap-sqr_binary64` `frac-2neg_binary64` `clear-num_binary64` `associate-/r*_binary64`

Counts

4 → 118

Calls

4 calls:

10.0ms	(/.f64 (pow.f64 (.f64 (.f64 2 PI.f64) n) (/.f64 1 2)) (.f64 (sqrt.f64 k) (pow.f64 (.f64 2 (*.f64 n PI.f64)) (/.f64 k 2))))
6.0ms	(pow.f64 (.f64 (.f64 2 PI.f64) n) (/.f64 1 2))
5.0ms	(.f64 (.f64 2 PI.f64) n)
4.0ms	(*.f64 n PI.f64)

Compiler

Compiled 2952 to 1959 computations (33.6% saved)

series83.0ms (0.7%)

Error

0.0b

Counts

4 → 15

Calls

4 calls:

37.0ms	(/.f64 (pow.f64 (.f64 (.f64 2 PI.f64) n) (/.f64 1 2)) (.f64 (sqrt.f64 k) (pow.f64 (.f64 2 (*.f64 n PI.f64)) (/.f64 k 2))))
20.0ms	(pow.f64 (.f64 (.f64 2 PI.f64) n) (/.f64 1 2))
9.0ms	(.f64 (.f64 2 PI.f64) n)
9.0ms	(*.f64 n PI.f64)

Compiler

Compiled 907 to 734 computations (19.1% saved)

simplify121.0ms (1%)

Algorithm

1×	egg-herbie

Rules

615×	`associate-/r*_binary64`
265×	`associate-*l/_binary64`
247×	`associate-*r/_binary64`
236×	`associate-/l/_binary64`
190×	`associate-l_binary64`
175×	`exp-prod_binary64`
161×	`associate-r_binary64`
159×	`distribute-rgt-in_binary64`
153×	`distribute-lft-in_binary64`
117×	`times-frac_binary64`
110×	`associate-/r/_binary64`
102×	`*-commutative_binary64`
97×	`associate-/l*_binary64`
95×	`log-prod_binary64`
86×	`sqr-pow_binary64`
65×	`unswap-sqr_binary64`
58×	`log-div_binary64`
55×	`exp-sum_binary64`
48×	`associate--l+_binary64`
39×	`sub-neg_binary64`
35×	`swap-sqr_binary64`
28×	`pow-sqr_binary64`
27×	`exp-to-pow_binary64`
25×	`distribute-neg-in_binary64`
23×	`log-pow_binary64`
20×	`cancel-sign-sub-inv_binary64`
19×	`unpow3_binary64` `cube-prod_binary64`
17×	`associate--r+_binary64`
16×	`distribute-rgt-neg-in_binary64`
15×	`neg-mul-1_binary64` `neg-sub0_binary64`
14×	`distribute-lft-neg-in_binary64`
13×	`cube-unmult_binary64` `*-rgt-identity_binary64` `+-commutative_binary64`
12×	`unpow1/2_binary64` `associate--r-_binary64`
11×	`distribute-lft-neg-out_binary64`
9×	`unsub-neg_binary64`
8×	`*-lft-identity_binary64` `distribute-rgt-neg-out_binary64`
7×	`associate-+l+_binary64`
6×	`pow-plus_binary64` `fabs-mul_binary64`
5×	`rem-sqrt-square_binary64` `distribute-neg-frac_binary64`
4×	`cube-div_binary64` `distribute-rgt-out_binary64`
3×	`exp-lft-sqr_binary64` `prod-exp_binary64` `div-sub_binary64` `count-2_binary64`
2×	`exp-diff_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `distribute-lft-out_binary64` `associate-+r+_binary64`
1×	`log-rec_binary64` `unpow1_binary64` `1-exp_binary64` `exp-1-e_binary64` `fabs-sqr_binary64` `rem-square-sqrt_binary64` `remove-double-neg_binary64` `distribute-rgt-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` `pow-base-0_binary64` `unpow1/3_binary64` `unpow2_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_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-mult_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `fabs-div_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `sqr-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` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `associate--l-_binary64` `associate-+l-_binary64` `associate-+r-_binary64`

Counts

133 → 105

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	220	3026
1	449	2740
2	1670	2495
3	4671	2495
4	4950	2495

prune85.0ms (0.7%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	102	3	105
Fresh	3	3	6
Picked	0	1	1
Done	0	0	0
Total	105	7	112

Error

Counts

112 → 7

Compiler

Compiled 1420 to 915 computations (35.6% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(/.f64 1 (/.f64 (sqrt.f64 k) (/.f64 (sqrt.f64 (.f64 2 (.f64 n PI.f64))) (pow.f64 (.f64 2 (.f64 n PI.f64)) (/.f64 k 2)))))
0.3b	(*.f64 n PI.f64)
0.3b	(*.f64 n PI.f64)
0.3b	(/.f64 (sqrt.f64 k) (/.f64 (sqrt.f64 (.f64 2 (.f64 n PI.f64))) (pow.f64 (.f64 2 (.f64 n PI.f64)) (/.f64 k 2))))

rewrite1.6s (12.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

1787×	`times-frac_binary64`
718×	`add-sqr-sqrt_binary64`
714×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
518×	`sqrt-prod_binary64`
173×	`associate-/r*_binary64`
124×	`unpow-prod-down_binary64` `sqr-pow_binary64`
94×	`add-exp-log_binary64`
58×	`div-exp_binary64`
37×	`div-inv_binary64`
22×	`add-cbrt-cube_binary64`
14×	`prod-exp_binary64`
12×	`pow-exp_binary64`
9×	`pow1_binary64` `cbrt-undiv_binary64` `associate-/l*_binary64`
7×	`1-exp_binary64` `rec-exp_binary64`
6×	`associate-/r/_binary64` `associate-l_binary64` `associate-r_binary64`
4×	`pow-to-exp_binary64` `add-log-exp_binary64`
2×	`frac-2neg_binary64` `clear-num_binary64` `pow-prod-down_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `*-commutative_binary64`
1×	`inv-pow_binary64` `pow-flip_binary64`

Counts

4 → 865

Calls

4 calls:

44.0ms	(/.f64 1 (/.f64 (sqrt.f64 k) (/.f64 (sqrt.f64 (.f64 2 (.f64 n PI.f64))) (pow.f64 (.f64 2 (.f64 n PI.f64)) (/.f64 k 2)))))
15.0ms	(/.f64 (sqrt.f64 k) (/.f64 (sqrt.f64 (.f64 2 (.f64 n PI.f64))) (pow.f64 (.f64 2 (.f64 n PI.f64)) (/.f64 k 2))))
4.0ms	(*.f64 n PI.f64)
4.0ms	(*.f64 n PI.f64)

Compiler

Compiled 32336 to 19410 computations (40% saved)

series98.0ms (0.8%)

Error

Counts

4 → 18

Calls

4 calls:

41.0ms	(/.f64 1 (/.f64 (sqrt.f64 k) (/.f64 (sqrt.f64 (.f64 2 (.f64 n PI.f64))) (pow.f64 (.f64 2 (.f64 n PI.f64)) (/.f64 k 2)))))
39.0ms	(/.f64 (sqrt.f64 k) (/.f64 (sqrt.f64 (.f64 2 (.f64 n PI.f64))) (pow.f64 (.f64 2 (.f64 n PI.f64)) (/.f64 k 2))))
8.0ms	(*.f64 n PI.f64)
8.0ms	(*.f64 n PI.f64)

Compiler

Compiled 1147 to 947 computations (17.4% saved)

simplify844.0ms (6.7%)

Algorithm

1×	egg-herbie

Rules

960×	`associate-/r/_binary64`
675×	`associate-*l/_binary64`
586×	`associate-/l/_binary64`
464×	`associate-/r*_binary64`
385×	`associate-/l*_binary64`
299×	`times-frac_binary64`
40×	`*-commutative_binary64`
31×	`sub-neg_binary64`
27×	`remove-double-div_binary64`
22×	`distribute-rgt-in_binary64`
20×	`distribute-lft-in_binary64`
18×	`exp-prod_binary64`
16×	`neg-mul-1_binary64`
15×	`log-prod_binary64` `neg-sub0_binary64` `associate-r_binary64`
13×	`sqr-pow_binary64`
12×	`/-rgt-identity_binary64` `associate--r-_binary64`
11×	`associate-r/_binary64` `associate-l*_binary64`
9×	`log-div_binary64` `cube-unmult_binary64` `swap-sqr_binary64`
8×	`unswap-sqr_binary64`
7×	`distribute-neg-frac_binary64` `distribute-neg-in_binary64`
5×	`pow-sqr_binary64` `cancel-sign-sub-inv_binary64` `distribute-rgt-neg-in_binary64`
4×	`log-rec_binary64` `rem-sqrt-square_binary64` `+-commutative_binary64`
3×	`*-rgt-identity_binary64`
2×	`rem-square-sqrt_binary64` `distribute-lft-neg-in_binary64`
1×	`log-pow_binary64` `1-exp_binary64` `div-sub_binary64` `*-lft-identity_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `distribute-lft-neg-out_binary64` `associate-+r+_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `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` `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-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` `unsub-neg_binary64` `mul-1-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` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-rgt-out_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `count-2_binary64` `associate--l-_binary64` `associate--l+_binary64` `associate--r+_binary64` `associate-+l-_binary64` `associate-+r-_binary64` `associate-+l+_binary64`

Counts

883 → 760

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	820	50202
1	1876	48568
2	5480	48568

prune681.0ms (5.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	757	3	760
Fresh	3	2	5
Picked	1	0	1
Done	0	1	1
Total	761	6	767

Error

Counts

767 → 6

Compiler

Compiled 15579 to 8899 computations (42.9% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(/.f64 (sqrt.f64 k) (/.f64 (sqrt.f64 (.f64 n PI.f64)) (pow.f64 (.f64 2 (*.f64 n PI.f64)) (/.f64 k 2))))
0.3b	(*.f64 n PI.f64)
0.3b	(*.f64 n PI.f64)
0.3b	(.f64 (sqrt.f64 2) (/.f64 1 (/.f64 (sqrt.f64 k) (/.f64 (sqrt.f64 (.f64 n PI.f64)) (pow.f64 (.f64 2 (.f64 n PI.f64)) (/.f64 k 2))))))

rewrite1.4s (11.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

1591×	`times-frac_binary64`
717×	`add-sqr-sqrt_binary64`
621×	`*-un-lft-identity_binary64`
607×	`add-cube-cbrt_binary64`
458×	`associate-r_binary64`
446×	`sqrt-prod_binary64`
117×	`add-exp-log_binary64`
108×	`sqr-pow_binary64`
100×	`unpow-prod-down_binary64`
58×	`div-exp_binary64`
36×	`prod-exp_binary64`
32×	`unswap-sqr_binary64`
30×	`div-inv_binary64`
27×	`add-cbrt-cube_binary64`
24×	`associate-/r*_binary64`
12×	`pow-exp_binary64` `associate-l_binary64`
10×	`pow1_binary64`
9×	`cbrt-undiv_binary64`
7×	`1-exp_binary64` `rec-exp_binary64`
6×	`cbrt-unprod_binary64` `associate-/l*_binary64`
5×	`associate-/r/_binary64`
4×	`pow-to-exp_binary64` `add-log-exp_binary64`
3×	`pow-prod-down_binary64` `*-commutative_binary64`
1×	`un-div-inv_binary64` `associate-*r/_binary64` `frac-2neg_binary64` `clear-num_binary64`

Counts

4 → 754

Calls

4 calls:

155.0ms	(.f64 (sqrt.f64 2) (/.f64 1 (/.f64 (sqrt.f64 k) (/.f64 (sqrt.f64 (.f64 n PI.f64)) (pow.f64 (.f64 2 (.f64 n PI.f64)) (/.f64 k 2))))))
15.0ms	(/.f64 (sqrt.f64 k) (/.f64 (sqrt.f64 (.f64 n PI.f64)) (pow.f64 (.f64 2 (*.f64 n PI.f64)) (/.f64 k 2))))
4.0ms	(*.f64 n PI.f64)
4.0ms	(*.f64 n PI.f64)

Compiler

Compiled 27443 to 14958 computations (45.5% saved)

series93.0ms (0.7%)

Error

Counts

4 → 18

Calls

4 calls:

40.0ms	(.f64 (sqrt.f64 2) (/.f64 1 (/.f64 (sqrt.f64 k) (/.f64 (sqrt.f64 (.f64 n PI.f64)) (pow.f64 (.f64 2 (.f64 n PI.f64)) (/.f64 k 2))))))
34.0ms	(/.f64 (sqrt.f64 k) (/.f64 (sqrt.f64 (.f64 n PI.f64)) (pow.f64 (.f64 2 (*.f64 n PI.f64)) (/.f64 k 2))))
10.0ms	(*.f64 n PI.f64)
8.0ms	(*.f64 n PI.f64)

Compiler

Compiled 1157 to 954 computations (17.5% saved)

simplify559.0ms (4.4%)

Algorithm

1×	egg-herbie

Rules

765×	`associate-/l*_binary64`
656×	`associate-/l/_binary64`
596×	`times-frac_binary64`
364×	`associate-/r/_binary64`
246×	`*-commutative_binary64`
213×	`associate-*r/_binary64`
31×	`sub-neg_binary64`
26×	`remove-double-div_binary64`
23×	`associate-/r*_binary64`
22×	`exp-prod_binary64` `distribute-rgt-in_binary64`
20×	`distribute-lft-in_binary64`
19×	`associate-l_binary64`
18×	`associate-r_binary64`
17×	`log-prod_binary64`
16×	`+-commutative_binary64`
15×	`neg-mul-1_binary64`
14×	`neg-sub0_binary64` `sqr-pow_binary64`
12×	`associate--r-_binary64` `associate-+r-_binary64`
10×	`cube-unmult_binary64` `/-rgt-identity_binary64` `swap-sqr_binary64`
9×	`unswap-sqr_binary64`
8×	`*-rgt-identity_binary64`
7×	`log-div_binary64` `distribute-neg-in_binary64`
6×	`unsub-neg_binary64`
5×	`pow-sqr_binary64`
4×	`rem-sqrt-square_binary64` `cancel-sign-sub-inv_binary64` `distribute-neg-frac_binary64` `associate-*l/_binary64`
3×	`log-rec_binary64` `rem-square-sqrt_binary64` `distribute-rgt-neg-in_binary64`
1×	`log-pow_binary64` `1-exp_binary64` `*-lft-identity_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `+-rgt-identity_binary64` `distribute-lft-neg-out_binary64` `distribute-lft-neg-in_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` `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` `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-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` `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` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-rgt-out_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `count-2_binary64` `associate--l-_binary64` `associate--l+_binary64` `associate--r+_binary64` `associate-+l-_binary64` `associate-+l+_binary64`

Counts

772 → 640

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	866	31702
1	2144	30952
2	5075	30952

prune750.0ms (5.9%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	640	0	640
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	640	6	646

Error

Counts

646 → 6

Compiler

Compiled 15976 to 8119 computations (49.2% saved)

regimes2.3s (18.1%)

Accuracy

Total 0.3b remaining (79.8%)

Threshold costs 0.3b (79.8%)

Compiler

Compiled 33137 to 27174 computations (18% saved)

bsearch0.0ms (0%)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Rules

4×	`*-commutative_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` `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` `neg-mul-1_binary64` `neg-sub0_binary64` `unsub-neg_binary64` `sub-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` `+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	32
1	24	32
2	22	32

end1.0ms (0%)

Compiler: Compiled 20 to 17 computations (15% saved)

sample2.6s (20.3%)

Algorithm

1×

intervals

Results

633.0ms	8000×	body	128	valid
599.0ms	1279×	body	1024	nan
312.0ms	2208×	body	128	overflowed
221.0ms	692×	body	512	nan
72.0ms	331×	body	256	nan
61.0ms	1000×	body	128	nan
20.0ms	220×	body	128	invalid

Compiler

Compiled 175 to 153 computations (12.6% saved)

Details

analyze456.0ms (3.6%)

sample70.0ms (0.6%)

simplify52.0ms (0.4%)

prune4.0ms (0%)

localize11.0ms (0.1%)

rewrite207.0ms (1.6%)

series105.0ms (0.8%)

simplify173.0ms (1.4%)

prune117.0ms (0.9%)

localize16.0ms (0.1%)

rewrite212.0ms (1.7%)

series83.0ms (0.7%)

simplify121.0ms (1%)

prune85.0ms (0.7%)

localize12.0ms (0.1%)

rewrite1.6s (12.6%)

series98.0ms (0.8%)

simplify844.0ms (6.7%)

prune681.0ms (5.4%)

localize15.0ms (0.1%)

rewrite1.4s (11.3%)

series93.0ms (0.7%)

simplify559.0ms (4.4%)

prune750.0ms (5.9%)

regimes2.3s (18.1%)

bsearch0.0ms (0%)

simplify4.0ms (0%)

end1.0ms (0%)

sample2.6s (20.3%)

Profiling