Details

analyze460.0ms (6.2%)

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` `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)

sample73.0ms (1%)

Algorithm

1×

intervals

Results

19.0ms	256×	body	128	valid
18.0ms	38×	body	1024	nan
10.0ms	76×	body	128	overflowed
6.0ms	20×	body	512	nan
2.0ms	12×	body	256	nan
1.0ms	8×	body	128	invalid
1.0ms	19×	body	128	nan

Compiler

Compiled 33 to 33 computations (0% saved)

simplify52.0ms (0.7%)

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` `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

0.4b

Counts

2 → 2

Compiler

Compiled 44 to 41 computations (6.8% saved)

localize15.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

rewrite200.0ms (2.7%)

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×	`difference-of-squares_binary64` `pow-prod-down_binary64` `pow-exp_binary64` `associate-/r*_binary64`
5×	`div-exp_binary64` `associate-/l*_binary64`
3×	`distribute-lft-out--_binary64` `pow-pow_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `associate-r_binary64`
2×	`div-inv_binary64` `div-sub_binary64` `pow-sub_binary64` `pow-to-exp_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:

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

Compiler

Compiled 2465 to 1670 computations (32.3% saved)

series105.0ms (1.4%)

Error

0.2b

Counts

3 → 18

Calls

3 calls:

44.0ms	(/.f64 (pow.f64 (.f64 (.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 k))
38.0ms	(pow.f64 (.f64 (.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))
8.0ms	(.f64 (.f64 2 PI.f64) n)

Compiler

Compiled 1015 to 812 computations (20% saved)

simplify173.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

540×	`distribute-rgt-in_binary64`
536×	`distribute-lft-in_binary64`
199×	`associate-/l/_binary64`
169×	`associate-l_binary64`
149×	`exp-prod_binary64`
143×	`times-frac_binary64`
142×	`associate-r_binary64`
116×	`sqr-pow_binary64`
108×	`cancel-sign-sub-inv_binary64`
97×	`*-commutative_binary64`
82×	`associate-/r/_binary64`
78×	`log-pow_binary64`
74×	`log-prod_binary64`
56×	`associate-/l*_binary64`
53×	`distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64`
43×	`pow-sqr_binary64`
37×	`unswap-sqr_binary64`
36×	`sub-neg_binary64`
32×	`exp-sum_binary64`
22×	`exp-to-pow_binary64`
20×	`-rgt-identity_binary64` `associate-/r_binary64`
18×	`log-div_binary64` `cube-prod_binary64` `distribute-lft-neg-out_binary64`
17×	`neg-mul-1_binary64` `neg-sub0_binary64`
16×	`swap-sqr_binary64` `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` `distribute-rgt-out_binary64` `associate-+l+_binary64`
4×	`unpow1_binary64` `rem-sqrt-square_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` `count-2_binary64` `associate--r-_binary64`
1×	`1-exp_binary64` `exp-1-e_binary64` `rem-square-sqrt_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` `sqr-abs_binary64` `sqr-neg_binary64` `mul-1-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 → 122

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	238	3711
1	512	3530
2	1621	3389
3	4700	3385
4	4972	3385
5	4969	3385

prune137.0ms (1.8%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	112	10	122
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	114	10	124

Error

0.0b

Counts

124 → 10

Compiler

Compiled 2182 to 1501 computations (31.2% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite230.0ms (3.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

127×	`add-exp-log_binary64`
67×	`prod-exp_binary64`
36×	`pow-exp_binary64`
30×	`div-exp_binary64`
20×	`pow1_binary64`
19×	`add-cbrt-cube_binary64`
15×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
14×	`times-frac_binary64`
13×	`pow-unpow_binary64`
12×	`pow-to-exp_binary64`
9×	`pow-prod-down_binary64`
7×	`cbrt-unprod_binary64`
5×	`associate-/l*_binary64`
4×	`add-log-exp_binary64` `associate-l_binary64` `associate-r_binary64`
3×	`unpow-prod-down_binary64` `sqr-pow_binary64` `pow-pow_binary64`
2×	`*-commutative_binary64` `cbrt-undiv_binary64` `div-inv_binary64`
1×	`frac-2neg_binary64` `clear-num_binary64` `associate-/r*_binary64`

Counts

4 → 118

Calls

4 calls:

9.0ms	(/.f64 (pow.f64 (.f64 (.f64 2 PI.f64) n) (/.f64 1 2)) (.f64 (sqrt.f64 k) (pow.f64 (.f64 n (*.f64 2 PI.f64)) (/.f64 k 2))))
7.0ms	(pow.f64 (.f64 (.f64 2 PI.f64) n) (/.f64 1 2))
5.0ms	(.f64 (.f64 2 PI.f64) n)
5.0ms	(.f64 n (.f64 2 PI.f64))

Compiler

Compiled 2940 to 2066 computations (29.7% saved)

series83.0ms (1.1%)

Error

0.0b

Counts

4 → 15

Calls

4 calls:

35.0ms	(/.f64 (pow.f64 (.f64 (.f64 2 PI.f64) n) (/.f64 1 2)) (.f64 (sqrt.f64 k) (pow.f64 (.f64 n (*.f64 2 PI.f64)) (/.f64 k 2))))
21.0ms	(pow.f64 (.f64 (.f64 2 PI.f64) n) (/.f64 1 2))
9.0ms	(.f64 n (.f64 2 PI.f64))
9.0ms	(.f64 (.f64 2 PI.f64) n)

Compiler

Compiled 907 to 744 computations (18% saved)

simplify121.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

588×	`associate-/r*_binary64`
265×	`associate-*l/_binary64`
245×	`associate-*r/_binary64`
234×	`associate-/l/_binary64`
187×	`associate-l_binary64`
168×	`exp-prod_binary64`
163×	`associate-r_binary64`
143×	`distribute-rgt-in_binary64`
137×	`distribute-lft-in_binary64`
117×	`times-frac_binary64`
104×	`associate-/r/_binary64`
101×	`*-commutative_binary64`
97×	`associate-/l*_binary64`
91×	`log-prod_binary64`
81×	`sqr-pow_binary64`
62×	`unswap-sqr_binary64`
56×	`log-div_binary64`
49×	`exp-sum_binary64`
47×	`associate-+l+_binary64`
43×	`associate--l+_binary64`
39×	`sub-neg_binary64`
38×	`associate--r+_binary64`
35×	`associate-+r+_binary64`
28×	`pow-sqr_binary64`
27×	`exp-to-pow_binary64`
26×	`swap-sqr_binary64`
23×	`log-pow_binary64`
21×	`distribute-neg-in_binary64`
20×	`unpow3_binary64` `cube-prod_binary64`
19×	`cancel-sign-sub-inv_binary64`
15×	`neg-mul-1_binary64` `neg-sub0_binary64` `distribute-rgt-neg-in_binary64`
13×	`distribute-lft-neg-in_binary64` `associate-+r-_binary64`
12×	`cube-unmult_binary64` `associate--r-_binary64` `+-commutative_binary64`
11×	`unpow1/2_binary64` `*-rgt-identity_binary64` `distribute-lft-neg-out_binary64`
8×	`unsub-neg_binary64` `distribute-rgt-neg-out_binary64`
7×	`*-lft-identity_binary64`
6×	`pow-plus_binary64` `associate-+l-_binary64`
5×	`distribute-neg-frac_binary64`
4×	`cube-div_binary64` `rem-sqrt-square_binary64` `distribute-rgt-out_binary64`
3×	`exp-lft-sqr_binary64` `prod-exp_binary64` `div-sub_binary64` `count-2_binary64`
2×	`unpow1_binary64` `exp-diff_binary64` `/-rgt-identity_binary64` `distribute-lft-out_binary64`
1×	`log-rec_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-square-sqrt_binary64` `mul-1-neg_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` `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`

Counts

133 → 115

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	215	3094
1	437	2780
2	1614	2545
3	4753	2545
4	5001	2545

prune116.0ms (1.5%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	112	3	115
Fresh	4	5	9
Picked	1	0	1
Done	0	0	0
Total	117	8	125

Error

0.0b

Counts

125 → 8

Compiler

Compiled 1769 to 1183 computations (33.1% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(*.f64 n PI.f64)
0.3b	(*.f64 n PI.f64)
0.3b	(*.f64 n PI.f64)
0.3b	(/.f64 (pow.f64 (.f64 2 (.f64 n PI.f64)) 1/4) (sqrt.f64 k))

rewrite230.0ms (3.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

35×	`add-sqr-sqrt_binary64`
30×	`times-frac_binary64`
29×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
22×	`add-exp-log_binary64`
18×	`sqrt-prod_binary64`
12×	`add-cbrt-cube_binary64`
10×	`pow1_binary64`
9×	`associate-l_binary64` `associate-r_binary64`
7×	`unpow-prod-down_binary64` `sqr-pow_binary64`
6×	`prod-exp_binary64` `associate-/r*_binary64`
5×	`div-exp_binary64` `associate-/l*_binary64`
4×	`add-log-exp_binary64`
3×	`pow-exp_binary64` `pow-prod-down_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `*-commutative_binary64`
1×	`pow-to-exp_binary64` `cbrt-undiv_binary64` `frac-2neg_binary64` `clear-num_binary64` `div-inv_binary64`

Counts

4 → 111

Calls

4 calls:

6.0ms	(/.f64 (pow.f64 (.f64 2 (.f64 n PI.f64)) 1/4) (sqrt.f64 k))
4.0ms	(*.f64 n PI.f64)
3.0ms	(*.f64 n PI.f64)
3.0ms	(*.f64 n PI.f64)

Compiler

Compiled 3493 to 1940 computations (44.5% saved)

series74.0ms (1%)

Error

0.0b

Counts

4 → 15

Calls

4 calls:

40.0ms	(/.f64 (pow.f64 (.f64 2 (.f64 n PI.f64)) 1/4) (sqrt.f64 k))
10.0ms	(*.f64 n PI.f64)
9.0ms	(*.f64 n PI.f64)
8.0ms	(*.f64 n PI.f64)

Compiler

Compiled 1053 to 810 computations (23.1% saved)

simplify156.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

604×	`exp-sum_binary64`
370×	`*-commutative_binary64`
251×	`exp-diff_binary64`
230×	`log-div_binary64`
227×	`associate-/l*_binary64`
206×	`associate-l_binary64` `associate-+r+_binary64`
196×	`associate-+l+_binary64`
174×	`times-frac_binary64`
156×	`associate-r_binary64`
154×	`log-prod_binary64`
136×	`associate--r+_binary64`
130×	`associate--l+_binary64`
125×	`associate-/l/_binary64`
122×	`distribute-rgt-in_binary64`
114×	`distribute-lft-in_binary64`
108×	`associate-/r*_binary64`
98×	`associate-*l/_binary64`
97×	`unswap-sqr_binary64`
86×	`exp-prod_binary64`
83×	`associate-+r-_binary64`
77×	`associate--r-_binary64`
70×	`sub-neg_binary64` `associate-*r/_binary64`
69×	`associate-/r/_binary64`
67×	`+-commutative_binary64`
64×	`associate-+l-_binary64`
63×	`log-pow_binary64`
59×	`sqr-pow_binary64`
52×	`unsub-neg_binary64`
42×	`cube-prod_binary64`
35×	`associate--l-_binary64`
31×	`unpow3_binary64`
28×	`log-rec_binary64` `cube-div_binary64` `distribute-rgt-neg-in_binary64`
27×	`cancel-sign-sub-inv_binary64`
26×	`div-sub_binary64`
25×	`*-rgt-identity_binary64` `distribute-lft-neg-in_binary64`
24×	`*-lft-identity_binary64`
23×	`exp-to-pow_binary64`
22×	`swap-sqr_binary64`
21×	`/-rgt-identity_binary64`
20×	`prod-exp_binary64`
16×	`neg-sub0_binary64` `distribute-neg-in_binary64`
14×	`neg-mul-1_binary64`
13×	`rem-exp-log_binary64` `cube-unmult_binary64` `pow-sqr_binary64`
11×	`distribute-neg-frac_binary64`
10×	`pow-plus_binary64`
6×	`exp-neg_binary64`
5×	`sub0-neg_binary64` `+-rgt-identity_binary64` `distribute-rgt-neg-out_binary64`
4×	`rec-exp_binary64` `cube-mult_binary64` `rem-sqrt-square_binary64` `--rgt-identity_binary64` `distribute-neg-out_binary64` `distribute-lft-neg-out_binary64`
3×	`unpow1/2_binary64` `remove-double-div_binary64` `distribute-lft-out_binary64` `count-2_binary64`
2×	`div-exp_binary64` `distribute-frac-neg_binary64`
1×	`log-E_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-square-sqrt_binary64` `mul-1-neg_binary64` `remove-double-neg_binary64` `+-inverses_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` `pow-base-0_binary64` `unpow1/3_binary64` `unpow2_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_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-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-rgt-out_binary64` `distribute-lft-out--_binary64`

Counts

126 → 74

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	160	2235
1	278	2094
2	668	2082
3	2084	2082
4	3989	2082
5	4913	2082
6	4941	2082

prune106.0ms (1.4%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	72	2	74
Fresh	1	6	7
Picked	0	1	1
Done	0	0	0
Total	73	9	82

Error

Counts

82 → 9

Compiler

Compiled 1957 to 1218 computations (37.8% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(*.f64 n PI.f64)
0.3b	(*.f64 n PI.f64)
0.3b	(*.f64 n PI.f64)
0.3b	(*.f64 n PI.f64)

rewrite167.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

20×	`add-sqr-sqrt_binary64`
12×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-cube-cbrt_binary64` `-un-lft-identity_binary64` `associate-l_binary64` `associate-r*_binary64`
4×	`pow-prod-down_binary64` `prod-exp_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `*-commutative_binary64`

Counts

4 → 72

Calls

4 calls:

4.0ms	(*.f64 n PI.f64)
4.0ms	(*.f64 n PI.f64)
4.0ms	(*.f64 n PI.f64)
4.0ms	(*.f64 n PI.f64)

Compiler

Compiled 2936 to 1544 computations (47.4% saved)

series41.0ms (0.5%)

Error

Counts

4 → 12

Calls

4 calls:

11.0ms	(*.f64 n PI.f64)
9.0ms	(*.f64 n PI.f64)
9.0ms	(*.f64 n PI.f64)
9.0ms	(*.f64 n PI.f64)

Compiler

Compiled 1025 to 700 computations (31.7% saved)

simplify108.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

625×	`associate-/l*_binary64`
566×	`unswap-sqr_binary64`
408×	`log-div_binary64`
250×	`cube-div_binary64`
192×	`associate-+l+_binary64`
187×	`associate-l_binary64`
163×	`*-commutative_binary64`
149×	`associate-*l/_binary64`
148×	`associate-*r/_binary64`
127×	`associate-r_binary64`
126×	`cube-prod_binary64`
124×	`sqr-pow_binary64`
122×	`log-prod_binary64`
106×	`associate-/l/_binary64`
78×	`associate-+l-_binary64`
73×	`exp-prod_binary64`
72×	`associate-+r-_binary64` `associate-+r+_binary64`
65×	`associate-/r/_binary64`
49×	`log-rec_binary64`
47×	`pow-sqr_binary64`
46×	`unpow3_binary64`
43×	`rem-sqrt-square_binary64`
41×	`cube-mult_binary64`
32×	`cube-unmult_binary64`
30×	`associate-/r*_binary64`
29×	`distribute-lft-out_binary64`
26×	`pow-plus_binary64`
24×	`exp-sqrt_binary64`
23×	`swap-sqr_binary64`
22×	`distribute-rgt-out_binary64`
20×	`*-lft-identity_binary64`
18×	`*-rgt-identity_binary64` `distribute-rgt-in_binary64`
13×	`exp-lft-sqr_binary64` `prod-exp_binary64`
12×	`times-frac_binary64` `distribute-lft-in_binary64`
11×	`neg-mul-1_binary64` `neg-sub0_binary64` `+-commutative_binary64`
9×	`distribute-rgt1-in_binary64`
8×	`unpow2_binary64` `associate--l+_binary64`
5×	`sub-neg_binary64` `distribute-lft1-in_binary64`
4×	`rem-square-sqrt_binary64`
3×	`unpow1/2_binary64` `remove-double-div_binary64` `associate--l-_binary64`
2×	`count-2_binary64`
1×	`unpow1_binary64` `1-exp_binary64` `exp-1-e_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` `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-cbrt_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` `sqr-abs_binary64` `sqr-neg_binary64` `div-sub_binary64` `unsub-neg_binary64` `mul-1-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` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_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` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64` `associate--r-_binary64` `associate--r+_binary64`

Counts

84 → 24

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	31	696
1	60	608
2	157	608
3	212	608
4	326	608
5	596	608
6	923	608
7	1990	608
8	4198	608
9	4907	608
10	4981	608

prune40.0ms (0.5%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	24	0	24
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	24	9	33

Error

Counts

33 → 9

Compiler

Compiled 761 to 417 computations (45.2% saved)

regimes1.8s (24.5%)

Accuracy

Total 0.3b remaining (92.6%)

Threshold costs 0.3b (92.6%)

Compiler

Compiled 30038 to 24263 computations (19.2% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

4× *-commutative_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 1-exp_binary64 exp-1-e_binary64 exp-0_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	15	31
1	19	31
2	19	31

end1.0ms (0%)

Compiler: Compiled 19 to 16 computations (15.8% saved)

sample2.9s (38.9%)

Algorithm

1×

intervals

Results

819.0ms	8000×	body	128	valid
611.0ms	1315×	body	1024	nan
334.0ms	2336×	body	128	overflowed
209.0ms	653×	body	512	nan
60.0ms	343×	body	256	nan
60.0ms	1004×	body	128	nan
19.0ms	215×	body	128	invalid

Compiler

Compiled 338 to 275 computations (18.6% saved)

Details

analyze460.0ms (6.2%)

sample73.0ms (1%)

simplify52.0ms (0.7%)

prune4.0ms (0%)

localize15.0ms (0.2%)

rewrite200.0ms (2.7%)

series105.0ms (1.4%)

simplify173.0ms (2.3%)

prune137.0ms (1.8%)

localize15.0ms (0.2%)

rewrite230.0ms (3.1%)

series83.0ms (1.1%)

simplify121.0ms (1.6%)

prune116.0ms (1.5%)

localize15.0ms (0.2%)

rewrite230.0ms (3.1%)

series74.0ms (1%)

simplify156.0ms (2.1%)

prune106.0ms (1.4%)

localize15.0ms (0.2%)

rewrite167.0ms (2.2%)

series41.0ms (0.5%)

simplify108.0ms (1.4%)

prune40.0ms (0.5%)

regimes1.8s (24.5%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end1.0ms (0%)

sample2.9s (38.9%)

Profiling