Details

analyze2.3s (13.3%)

Algorithm

1×	search
2×	egg-herbie

Rules

648×	`distribute-rgt-in_binary64`
636×	`distribute-lft-in_binary64`
356×	`cancel-sign-sub-inv_binary64`
251×	`distribute-rgt-neg-in_binary64`
235×	`distribute-lft-neg-in_binary64`
159×	`associate-l_binary64`
158×	`*-commutative_binary64`
132×	`sub-neg_binary64`
118×	`associate-r_binary64`
114×	`distribute-lft-neg-out_binary64`
112×	`neg-mul-1_binary64` `neg-sub0_binary64`
101×	`distribute-rgt-neg-out_binary64`
92×	`distribute-neg-in_binary64`
70×	`distribute-neg-frac_binary64`
55×	`+-commutative_binary64`
40×	`associate-*r/_binary64`
30×	`sqr-pow_binary64` `associate-*l/_binary64`
22×	`unsub-neg_binary64`
20×	`associate-/l*_binary64`
16×	`cancel-sign-sub_binary64` `distribute-neg-out_binary64` `associate--l-_binary64` `associate--l+_binary64` `associate-+l-_binary64` `associate-+l+_binary64`
10×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `associate-/r/_binary64`
6×	`times-frac_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` `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` `exp-prod_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `exp-sum_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-unmult_binary64` `cube-mult_binary64` `cube-div_binary64` `cube-prod_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `div-sub_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` `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` `swap-sqr_binary64` `distribute-frac-neg_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-/r_binary64` `associate--r-_binary64` `associate--r+_binary64` `associate-+r-_binary64` `associate-+r+_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	170	672
1	563	672
2	2019	672
3	5820	672
0	6	6
1	6	6

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	98.1%	1.9%	7
0%	98.1%	1.9%	8
0%	97.8%	2.2%	9
0%	96.8%	3.2%	10
0%	96.3%	3.7%	11
0%	94.3%	5.7%	12
0.4%	92.1%	7.5%	13
0.6%	90.8%	8.6%	14

Compiler

Compiled 29 to 24 computations (17.2% saved)

sample104.0ms (0.6%)

Algorithm

1×

intervals

Results

34.0ms	381×	body	128	nan
28.0ms	256×	body	128	valid
4.0ms	46×	body	128	invalid

Compiler

Compiled 57 to 53 computations (7% saved)

simplify56.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

716×	`neg-mul-1_binary64` `neg-sub0_binary64`
377×	`distribute-rgt-neg-out_binary64`
358×	`cancel-sign-sub-inv_binary64`
354×	`distribute-lft-neg-out_binary64`
351×	`unsub-neg_binary64`
309×	`distribute-neg-frac_binary64`
281×	`distribute-rgt-in_binary64`
275×	`distribute-lft-in_binary64`
248×	`associate-*r/_binary64`
236×	`distribute-rgt-neg-in_binary64` `associate-*l/_binary64`
228×	`*-commutative_binary64`
125×	`distribute-neg-in_binary64`
106×	`div-sub_binary64`
95×	`associate-r_binary64`
88×	`associate-l_binary64`
87×	`sub-neg_binary64`
86×	`distribute-lft-neg-in_binary64`
85×	`distribute-neg-out_binary64`
61×	`times-frac_binary64`
43×	`associate-/l*_binary64`
35×	`remove-double-neg_binary64`
32×	`associate-+l+_binary64` `associate-+r+_binary64`
23×	`distribute-lft-out_binary64`
20×	`mul0-rgt_binary64` `mul0-lft_binary64` `associate--r+_binary64` `+-commutative_binary64`
16×	`associate-+l-_binary64`
12×	`distribute-rgt-out_binary64`
11×	`sub0-neg_binary64` `associate-+r-_binary64`
10×	`associate-/r/_binary64`
8×	`unswap-sqr_binary64`
7×	`sqr-pow_binary64` `associate--l+_binary64`
6×	`+-rgt-identity_binary64`
5×	`distribute-lft-out--_binary64` `associate--r-_binary64` `associate--l-_binary64`
4×	`*-lft-identity_binary64` `associate-/l/_binary64`
3×	`pow-plus_binary64` `cube-unmult_binary64` `--rgt-identity_binary64`
2×	`rem-sqrt-square_binary64` `-rgt-identity_binary64` `associate-/r_binary64`
1×	`unpow3_binary64` `unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `1-exp_binary64` `sqr-neg_binary64` `div0_binary64` `cancel-sign-sub_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-mult_binary64` `cube-div_binary64` `cube-prod_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `rem-square-sqrt_binary64` `mul-1-neg_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` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `swap-sqr_binary64` `distribute-frac-neg_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `count-2_binary64`

Counts

1 → 1

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	22	42
1	58	42
2	180	42
3	719	39
4	2459	39
5	3993	39
6	5178	39

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

31.8b

Counts

2 → 2

Compiler

Compiled 80 to 63 computations (21.3% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.9b	(.f64 (/.f64 l Om) (+.f64 (.f64 l -2) (.f64 (/.f64 l Om) (.f64 n (-.f64 U* U)))))
10.3b	(.f64 (/.f64 l Om) (.f64 n (-.f64 U* U)))
11.5b	(.f64 (.f64 (.f64 2 n) U) (+.f64 t (.f64 (/.f64 l Om) (+.f64 (.f64 l -2) (.f64 (/.f64 l Om) (.f64 n (-.f64 U U)))))))
19.5b	(sqrt.f64 (.f64 (.f64 (.f64 2 n) U) (+.f64 t (.f64 (/.f64 l Om) (+.f64 (.f64 l -2) (.f64 (/.f64 l Om) (.f64 n (-.f64 U U))))))))

rewrite337.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

22.6b

Rules

30×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
29×	`add-sqr-sqrt_binary64`
27×	`associate-l_binary64`
24×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
19×	`times-frac_binary64`
18×	`distribute-rgt-in_binary64` `distribute-lft-in_binary64`
16×	`pow-prod-down_binary64`
14×	`prod-exp_binary64` `cbrt-unprod_binary64`
12×	`associate-*r/_binary64` `cancel-sign-sub-inv_binary64`
7×	`associate-r_binary64`
4×	`add-log-exp_binary64` `sqrt-pow1_binary64` `flip3-+_binary64` `flip-+_binary64` `frac-times_binary64` `sub-neg_binary64`
3×	`*-commutative_binary64` `div-exp_binary64` `cbrt-undiv_binary64`
2×	`sqrt-div_binary64` `flip3--_binary64` `flip--_binary64` `associate-*l/_binary64` `div-inv_binary64` `unswap-sqr_binary64`
1×	`pow1/2_binary64` `sqrt-prod_binary64`

Counts

4 → 131

Calls

4 calls:

12.0ms	(.f64 (/.f64 l Om) (.f64 n (-.f64 U* U)))
9.0ms	(.f64 (/.f64 l Om) (+.f64 (.f64 l -2) (.f64 (/.f64 l Om) (.f64 n (-.f64 U* U)))))
9.0ms	(.f64 (.f64 (.f64 2 n) U) (+.f64 t (.f64 (/.f64 l Om) (+.f64 (.f64 l -2) (.f64 (/.f64 l Om) (.f64 n (-.f64 U U)))))))
9.0ms	(sqrt.f64 (.f64 (.f64 (.f64 2 n) U) (+.f64 t (.f64 (/.f64 l Om) (+.f64 (.f64 l -2) (.f64 (/.f64 l Om) (.f64 n (-.f64 U U))))))))

Compiler

Compiled 4884 to 1897 computations (61.2% saved)

series1.2s (6.8%)

Error

18.2b

Counts

4 → 108

Calls

4 calls:

498.0ms	(.f64 (.f64 (.f64 2 n) U) (+.f64 t (.f64 (/.f64 l Om) (+.f64 (.f64 l -2) (.f64 (/.f64 l Om) (.f64 n (-.f64 U U)))))))
341.0ms	(sqrt.f64 (.f64 (.f64 (.f64 2 n) U) (+.f64 t (.f64 (/.f64 l Om) (+.f64 (.f64 l -2) (.f64 (/.f64 l Om) (.f64 n (-.f64 U U))))))))
203.0ms	(.f64 (/.f64 l Om) (+.f64 (.f64 l -2) (.f64 (/.f64 l Om) (.f64 n (-.f64 U* U)))))
69.0ms	(.f64 (/.f64 l Om) (.f64 n (-.f64 U* U)))

Compiler

Compiled 9249 to 7288 computations (21.2% saved)

simplify248.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

630×	`*-commutative_binary64`
242×	`associate-*l/_binary64`
230×	`associate-/l*_binary64`
220×	`distribute-rgt-in_binary64`
208×	`associate-*r/_binary64`
203×	`distribute-lft-in_binary64`
179×	`sub-neg_binary64`
158×	`exp-prod_binary64`
138×	`neg-sub0_binary64`
123×	`associate-r_binary64`
122×	`neg-mul-1_binary64`
109×	`+-commutative_binary64`
100×	`cancel-sign-sub-inv_binary64`
96×	`times-frac_binary64`
83×	`associate-/r*_binary64`
73×	`sqr-pow_binary64`
71×	`distribute-rgt-neg-in_binary64`
61×	`log-prod_binary64` `div-sub_binary64`
56×	`associate-l_binary64`
51×	`distribute-lft-neg-in_binary64`
48×	`cube-prod_binary64`
47×	`associate-/r/_binary64`
34×	`unpow3_binary64`
31×	`log-div_binary64` `unsub-neg_binary64`
29×	`distribute-neg-frac_binary64`
25×	`associate--r+_binary64` `associate-+l+_binary64`
24×	`exp-sum_binary64` `distribute-lft-neg-out_binary64`
22×	`associate--l+_binary64`
21×	`swap-sqr_binary64`
18×	`mul-1-neg_binary64`
17×	`cube-div_binary64`
15×	`distribute-neg-in_binary64`
14×	`distribute-rgt-neg-out_binary64`
13×	`associate-+r+_binary64`
11×	`cube-mult_binary64` `distribute-rgt-out--_binary64`
9×	`log-pow_binary64`
8×	`unswap-sqr_binary64`
7×	`cube-unmult_binary64`
6×	`unpow1/2_binary64` `*-rgt-identity_binary64` `associate-+l-_binary64`
5×	`*-lft-identity_binary64` `distribute-rgt-out_binary64` `associate-+r-_binary64`
4×	`unpow2_binary64` `unpow1_binary64` `exp-diff_binary64` `rem-sqrt-square_binary64` `pow-sqr_binary64` `difference-of-squares_binary64`
3×	`exp-lft-sqr_binary64` `distribute-lft-out_binary64`
2×	`rem-square-sqrt_binary64` `distribute-lft-out--_binary64`
1×	`log-rec_binary64` `pow-plus_binary64` `1-exp_binary64` `exp-1-e_binary64` `cube-neg_binary64` `rem-3cbrt-lft_binary64` `sqr-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` `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` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `count-2_binary64` `associate-/l/_binary64` `associate--r-_binary64` `associate--l-_binary64`

Counts

239 → 220

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	529	8379
1	1615	7900
2	4268	7678
3	4914	7678
4	5042	7678

prune229.0ms (1.3%)

Pruning

21 alts after pruning (20 fresh and 1 done)

	Pruned	Kept	Total
New	201	19	220
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	201	21	222

Error

15.4b

Counts

222 → 21

Compiler

Compiled 4865 to 2076 computations (57.3% saved)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

3.4b	(.f64 U (+.f64 t (.f64 (/.f64 l Om) (+.f64 (.f64 n (/.f64 (.f64 l (-.f64 U* U)) Om)) (*.f64 l -2)))))
5.1b	(.f64 (.f64 2 n) (.f64 U (+.f64 t (.f64 (/.f64 l Om) (+.f64 (.f64 n (/.f64 (.f64 l (-.f64 U* U)) Om)) (*.f64 l -2))))))
6.7b	(.f64 n (/.f64 (.f64 l (-.f64 U* U)) Om))
19.5b	(sqrt.f64 (.f64 (.f64 2 n) (.f64 U (+.f64 t (.f64 (/.f64 l Om) (+.f64 (.f64 n (/.f64 (.f64 l (-.f64 U* U)) Om)) (*.f64 l -2)))))))

rewrite176.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

12.6b

Rules

33×	`pow1_binary64`
27×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
18×	`pow-prod-down_binary64`
13×	`add-sqr-sqrt_binary64` `prod-exp_binary64` `cbrt-unprod_binary64`
11×	`associate-r/_binary64` `associate-r*_binary64`
9×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
7×	`associate-l_binary64`
5×	`sqrt-pow1_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64`
4×	`add-log-exp_binary64`
3×	`flip3-+_binary64` `flip-+_binary64` `times-frac_binary64` `*-commutative_binary64`
2×	`sqrt-div_binary64` `div-exp_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64`
1×	`pow1/2_binary64` `sqrt-prod_binary64` `div-inv_binary64`

Counts

4 → 93

Calls

4 calls:

11.0ms	(.f64 n (/.f64 (.f64 l (-.f64 U* U)) Om))
8.0ms	(.f64 (.f64 2 n) (.f64 U (+.f64 t (.f64 (/.f64 l Om) (+.f64 (.f64 n (/.f64 (.f64 l (-.f64 U* U)) Om)) (*.f64 l -2))))))
6.0ms	(sqrt.f64 (.f64 (.f64 2 n) (.f64 U (+.f64 t (.f64 (/.f64 l Om) (+.f64 (.f64 n (/.f64 (.f64 l (-.f64 U* U)) Om)) (*.f64 l -2)))))))
5.0ms	(.f64 U (+.f64 t (.f64 (/.f64 l Om) (+.f64 (.f64 n (/.f64 (.f64 l (-.f64 U* U)) Om)) (*.f64 l -2)))))

Compiler

Compiled 3460 to 1359 computations (60.7% saved)

series1.3s (7.4%)

Error

15.2b

Counts

4 → 119

Calls

4 calls:

494.0ms	(.f64 (.f64 2 n) (.f64 U (+.f64 t (.f64 (/.f64 l Om) (+.f64 (.f64 n (/.f64 (.f64 l (-.f64 U* U)) Om)) (*.f64 l -2))))))
340.0ms	(.f64 U (+.f64 t (.f64 (/.f64 l Om) (+.f64 (.f64 n (/.f64 (.f64 l (-.f64 U* U)) Om)) (*.f64 l -2)))))
332.0ms	(sqrt.f64 (.f64 (.f64 2 n) (.f64 U (+.f64 t (.f64 (/.f64 l Om) (+.f64 (.f64 n (/.f64 (.f64 l (-.f64 U* U)) Om)) (*.f64 l -2)))))))
66.0ms	(.f64 n (/.f64 (.f64 l (-.f64 U* U)) Om))

Compiler

Compiled 10055 to 7977 computations (20.7% saved)

simplify140.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

699×	`associate-r_binary64`
618×	`associate-l_binary64`
233×	`associate-/l*_binary64`
188×	`*-commutative_binary64`
161×	`associate-*r/_binary64`
151×	`distribute-rgt-in_binary64`
143×	`distribute-lft-in_binary64`
138×	`times-frac_binary64`
122×	`associate-*l/_binary64`
104×	`associate-/r*_binary64`
86×	`cancel-sign-sub-inv_binary64`
68×	`sub-neg_binary64`
60×	`distribute-rgt-neg-in_binary64`
46×	`distribute-lft-neg-in_binary64`
44×	`associate-/r/_binary64`
42×	`neg-sub0_binary64`
34×	`neg-mul-1_binary64`
27×	`+-commutative_binary64`
21×	`sqr-pow_binary64`
19×	`distribute-neg-frac_binary64`
18×	`swap-sqr_binary64`
16×	`distribute-neg-in_binary64`
15×	`exp-prod_binary64`
13×	`mul-1-neg_binary64`
12×	`log-prod_binary64`
11×	`associate--l+_binary64` `associate--r+_binary64`
10×	`div-sub_binary64` `distribute-lft-neg-out_binary64`
9×	`cube-unmult_binary64` `unswap-sqr_binary64` `distribute-rgt-out--_binary64`
8×	`associate-/l/_binary64`
6×	`log-div_binary64` `unpow3_binary64` `cube-mult_binary64` `cube-prod_binary64`
4×	`unpow2_binary64` `unpow1_binary64`
3×	`distribute-rgt-out_binary64` `distribute-lft-out_binary64` `associate-+r-_binary64`
2×	`pow-plus_binary64` `cube-div_binary64` `*-rgt-identity_binary64` `distribute-lft-out--_binary64` `associate-+l+_binary64` `associate-+r+_binary64`
1×	`exp-lft-sqr_binary64` `exp-sum_binary64` `1-exp_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `unsub-neg_binary64` `/-rgt-identity_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` `exp-to-pow_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` `prod-exp_binary64` `exp-diff_binary64` `exp-neg_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` `sqr-abs_binary64` `sqr-neg_binary64` `-lft-identity_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` `difference-of-sqr-1_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` `count-2_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate-+l-_binary64`

Counts

212 → 188

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	433	8454
1	1216	7755
2	4997	7755

prune159.0ms (0.9%)

Pruning

22 alts after pruning (21 fresh and 1 done)

	Pruned	Kept	Total
New	181	7	188
Fresh	5	14	19
Picked	0	1	1
Done	1	0	1
Total	187	22	209

Error

12.6b

Counts

209 → 22

Compiler

Compiled 4283 to 1803 computations (57.9% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

4.8b	(*.f64 n (/.f64 l Om))
10.4b	(.f64 (.f64 n (/.f64 l Om)) (-.f64 U* U))
11.5b	(.f64 (.f64 (.f64 2 n) U) (+.f64 t (.f64 (/.f64 l Om) (+.f64 (.f64 l -2) (.f64 (.f64 n (/.f64 l Om)) (-.f64 U U))))))
19.5b	(sqrt.f64 (.f64 (.f64 (.f64 2 n) U) (+.f64 t (.f64 (/.f64 l Om) (+.f64 (.f64 l -2) (.f64 (.f64 n (/.f64 l Om)) (-.f64 U U)))))))

rewrite215.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

12.6b

Rules

30×	`pow1_binary64`
27×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
23×	`add-sqr-sqrt_binary64`
21×	`associate-r_binary64`
18×	`*-un-lft-identity_binary64`
16×	`add-cube-cbrt_binary64` `pow-prod-down_binary64`
13×	`prod-exp_binary64` `cbrt-unprod_binary64`
10×	`associate-*r/_binary64` `times-frac_binary64`
6×	`cancel-sign-sub-inv_binary64`
5×	`distribute-rgt-in_binary64` `distribute-lft-in_binary64` `associate-l_binary64`
4×	`add-log-exp_binary64` `sqrt-pow1_binary64`
3×	`*-commutative_binary64`
2×	`flip3-+_binary64` `sqrt-div_binary64` `flip-+_binary64` `div-exp_binary64` `cbrt-undiv_binary64` `flip3--_binary64` `frac-times_binary64` `flip--_binary64` `sub-neg_binary64` `unswap-sqr_binary64`
1×	`pow1/2_binary64` `sqrt-prod_binary64` `associate-*l/_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `div-inv_binary64`

Counts

4 → 107

Calls

4 calls:

10.0ms	(.f64 (.f64 n (/.f64 l Om)) (-.f64 U* U))
10.0ms	(*.f64 n (/.f64 l Om))
9.0ms	(.f64 (.f64 (.f64 2 n) U) (+.f64 t (.f64 (/.f64 l Om) (+.f64 (.f64 l -2) (.f64 (.f64 n (/.f64 l Om)) (-.f64 U U))))))
6.0ms	(sqrt.f64 (.f64 (.f64 (.f64 2 n) U) (+.f64 t (.f64 (/.f64 l Om) (+.f64 (.f64 l -2) (.f64 (.f64 n (/.f64 l Om)) (-.f64 U U)))))))

Compiler

Compiled 3759 to 1527 computations (59.4% saved)

series982.0ms (5.6%)

Error

12.6b

Counts

4 → 90

Calls

4 calls:

495.0ms	(.f64 (.f64 (.f64 2 n) U) (+.f64 t (.f64 (/.f64 l Om) (+.f64 (.f64 l -2) (.f64 (.f64 n (/.f64 l Om)) (-.f64 U U))))))
335.0ms	(sqrt.f64 (.f64 (.f64 (.f64 2 n) U) (+.f64 t (.f64 (/.f64 l Om) (+.f64 (.f64 l -2) (.f64 (.f64 n (/.f64 l Om)) (-.f64 U U)))))))
68.0ms	(.f64 (.f64 n (/.f64 l Om)) (-.f64 U* U))
31.0ms	(*.f64 n (/.f64 l Om))

Compiler

Compiled 8063 to 6355 computations (21.2% saved)

simplify121.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

695×	`associate-l_binary64`
676×	`associate-r_binary64`
190×	`*-commutative_binary64`
187×	`associate-/l*_binary64`
157×	`associate-*r/_binary64`
149×	`distribute-rgt-in_binary64`
143×	`associate-*l/_binary64`
141×	`distribute-lft-in_binary64`
99×	`times-frac_binary64`
89×	`associate-/r*_binary64`
75×	`cancel-sign-sub-inv_binary64`
58×	`sub-neg_binary64` `distribute-rgt-neg-in_binary64`
44×	`neg-sub0_binary64`
42×	`distribute-lft-neg-in_binary64`
40×	`associate-/r/_binary64`
39×	`neg-mul-1_binary64`
30×	`+-commutative_binary64`
23×	`sqr-pow_binary64`
21×	`swap-sqr_binary64`
20×	`exp-prod_binary64`
18×	`distribute-lft-neg-out_binary64`
17×	`log-prod_binary64`
16×	`distribute-neg-frac_binary64`
14×	`distribute-neg-in_binary64` `associate-/l/_binary64`
10×	`mul-1-neg_binary64`
9×	`div-sub_binary64` `distribute-rgt-neg-out_binary64` `distribute-rgt-out--_binary64`
8×	`cube-unmult_binary64` `unswap-sqr_binary64` `associate--r+_binary64`
7×	`unpow3_binary64` `associate--l+_binary64`
6×	`cube-mult_binary64`
5×	`cube-prod_binary64` `*-rgt-identity_binary64` `distribute-rgt-out_binary64` `associate-+l+_binary64`
4×	`unpow2_binary64` `unpow1_binary64`
3×	`log-div_binary64` `difference-of-squares_binary64` `distribute-lft-out_binary64`
2×	`pow-plus_binary64` `cube-div_binary64` `rem-square-sqrt_binary64` `/-rgt-identity_binary64` `distribute-lft-out--_binary64` `associate-+r-_binary64`
1×	`exp-sum_binary64` `1-exp_binary64` `rem-3cbrt-lft_binary64` `rem-sqrt-square_binary64` `unsub-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` `log-pow_binary64` `log-rec_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` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-diff_binary64` `exp-neg_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-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `-lft-identity_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` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `count-2_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate-+l-_binary64`

Counts

197 → 172

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	448	6467
1	1283	5927
2	4989	5927

prune142.0ms (0.8%)

Pruning

22 alts after pruning (20 fresh and 2 done)

	Pruned	Kept	Total
New	171	1	172
Fresh	1	19	20
Picked	0	1	1
Done	0	1	1
Total	172	22	194

Error

12.6b

Counts

194 → 22

Compiler

Compiled 3815 to 1698 computations (55.5% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

5.1b	(.f64 (.f64 2 n) (.f64 U (+.f64 t (.f64 (/.f64 l Om) (+.f64 (/.f64 (.f64 l (.f64 n U)) Om) (.f64 l -2))))))
6.2b	(.f64 l (.f64 n U*))
6.8b	(/.f64 (.f64 l (.f64 n U*)) Om)
19.5b	(sqrt.f64 (.f64 (.f64 2 n) (.f64 U (+.f64 t (.f64 (/.f64 l Om) (+.f64 (/.f64 (.f64 l (.f64 n U)) Om) (.f64 l -2)))))))

rewrite161.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

12.6b

Rules

34×	`pow1_binary64`
30×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
19×	`pow-prod-down_binary64`
14×	`prod-exp_binary64` `cbrt-unprod_binary64`
8×	`associate-*r/_binary64`
7×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
5×	`sqrt-pow1_binary64`
4×	`add-log-exp_binary64` `associate-l_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64`
3×	`div-exp_binary64` `cbrt-undiv_binary64` `times-frac_binary64` `associate-/r*_binary64`
2×	`flip3-+_binary64` `sqrt-div_binary64` `flip-+_binary64` `associate-r_binary64` `*-commutative_binary64`
1×	`pow1/2_binary64` `sqrt-prod_binary64` `frac-2neg_binary64` `clear-num_binary64` `div-inv_binary64` `associate-/l*_binary64`

Counts

4 → 85

Calls

4 calls:

11.0ms	(.f64 (.f64 2 n) (.f64 U (+.f64 t (.f64 (/.f64 l Om) (+.f64 (/.f64 (.f64 l (.f64 n U)) Om) (.f64 l -2))))))
6.0ms	(sqrt.f64 (.f64 (.f64 2 n) (.f64 U (+.f64 t (.f64 (/.f64 l Om) (+.f64 (/.f64 (.f64 l (.f64 n U)) Om) (.f64 l -2)))))))
6.0ms	(/.f64 (.f64 l (.f64 n U*)) Om)
5.0ms	(.f64 l (.f64 n U*))

Compiler

Compiled 2717 to 1185 computations (56.4% saved)

series733.0ms (4.2%)

Error

11.0b

Counts

4 → 85

Calls

4 calls:

312.0ms	(.f64 (.f64 2 n) (.f64 U (+.f64 t (.f64 (/.f64 l Om) (+.f64 (/.f64 (.f64 l (.f64 n U)) Om) (.f64 l -2))))))
301.0ms	(sqrt.f64 (.f64 (.f64 2 n) (.f64 U (+.f64 t (.f64 (/.f64 l Om) (+.f64 (/.f64 (.f64 l (.f64 n U)) Om) (.f64 l -2)))))))
47.0ms	(/.f64 (.f64 l (.f64 n U*)) Om)
28.0ms	(.f64 l (.f64 n U*))

Compiler

Compiled 6300 to 5075 computations (19.4% saved)

simplify239.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

525×	`associate-r_binary64`
476×	`associate-l_binary64`
321×	`*-commutative_binary64`
208×	`associate-/l*_binary64`
193×	`times-frac_binary64`
145×	`associate-*r/_binary64`
138×	`associate-/r*_binary64`
137×	`unswap-sqr_binary64`
114×	`distribute-rgt-in_binary64`
112×	`associate-*l/_binary64`
107×	`sub-neg_binary64`
105×	`distribute-lft-in_binary64`
75×	`neg-sub0_binary64`
73×	`cancel-sign-sub-inv_binary64`
71×	`neg-mul-1_binary64`
69×	`+-commutative_binary64`
67×	`log-prod_binary64`
63×	`sqr-pow_binary64`
50×	`associate-/r/_binary64`
47×	`distribute-rgt-neg-in_binary64`
40×	`exp-prod_binary64`
39×	`log-div_binary64` `distribute-lft-neg-in_binary64`
36×	`unpow3_binary64`
33×	`associate--l+_binary64`
25×	`cube-prod_binary64`
23×	`associate-+l+_binary64`
21×	`cube-div_binary64` `associate-/l/_binary64`
17×	`unsub-neg_binary64` `swap-sqr_binary64` `associate--r+_binary64`
15×	`associate-+r+_binary64`
14×	`distribute-neg-frac_binary64`
12×	`*-rgt-identity_binary64`
11×	`distribute-neg-in_binary64`
10×	`cube-mult_binary64`
9×	`log-pow_binary64` `cube-unmult_binary64`
7×	`exp-lft-sqr_binary64`
6×	`pow-plus_binary64` `distribute-lft-neg-out_binary64`
5×	`log-rec_binary64` `unpow1_binary64` `div-sub_binary64` `mul-1-neg_binary64`
4×	`unpow2_binary64` `unpow1/2_binary64` `exp-sum_binary64` `distribute-rgt-out_binary64`
3×	`rem-sqrt-square_binary64` `pow-sqr_binary64` `distribute-rgt-out--_binary64`
2×	`rem-square-sqrt_binary64` `/-rgt-identity_binary64` `distribute-lft-out_binary64`
1×	`prod-exp_binary64` `1-exp_binary64` `*-lft-identity_binary64` `difference-of-squares_binary64` `associate-+l-_binary64` `associate-+r-_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `exp-diff_binary64` `exp-neg_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` `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` `difference-of-sqr--1_binary64` `difference-of-sqr-1_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-lft-out--_binary64` `count-2_binary64` `associate--r-_binary64` `associate--l-_binary64`

Counts

170 → 119

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	364	5255
1	1060	4734
2	4326	4734
3	4928	4734
4	4992	4734
5	4997	4734
6	4969	4734

prune63.0ms (0.4%)

Pruning

23 alts after pruning (20 fresh and 3 done)

	Pruned	Kept	Total
New	110	9	119
Fresh	8	11	19
Picked	0	1	1
Done	0	2	2
Total	118	23	141

Error

11.0b

Counts

141 → 23

Compiler

Compiled 1287 to 610 computations (52.6% saved)

regimes4.7s (26.4%)

Accuracy

Total 19.3b remaining (67.2%)

Threshold costs 0b (0%)

Compiler

Compiled 50398 to 38388 computations (23.8% saved)

bsearch112.0ms (0.6%)

Steps

Iters	Range		Point
10	-2.610493388782852e-298	3.990991986379152e-306	1.540202642029673e-309
4	-4.133513264474146e+50	-2.430056465618685e+50	-2.477163411318746e+50

Compiler

Compiled 1 to 6 computations (-500% saved)

simplify7.0ms (0%)

Algorithm

1×	egg-herbie

Rules

18×	`*-commutative_binary64`
8×	`+-commutative_binary64`
2×	`sub-neg_binary64`
1×	`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` `1-exp_binary64` `exp-1-e_binary64` `exp-0_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `unsub-neg_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `-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	47	131
1	72	131
2	77	131
3	79	131
4	80	131
5	80	131

end2.0ms (0%)

Compiler: Compiled 87 to 53 computations (39.1% saved)

sample3.8s (21.7%)

Algorithm

1×

intervals

Results

1.2s	12756×	body	128	nan
768.0ms	8000×	body	128	valid
120.0ms	1199×	body	128	invalid

Compiler

Compiled 874 to 647 computations (26% saved)

Details

analyze2.3s (13.3%)

sample104.0ms (0.6%)

simplify56.0ms (0.3%)

prune4.0ms (0%)

localize16.0ms (0.1%)

rewrite337.0ms (1.9%)

series1.2s (6.8%)

simplify248.0ms (1.4%)

prune229.0ms (1.3%)

localize18.0ms (0.1%)

rewrite176.0ms (1%)

series1.3s (7.4%)

simplify140.0ms (0.8%)

prune159.0ms (0.9%)

localize17.0ms (0.1%)

rewrite215.0ms (1.2%)

series982.0ms (5.6%)

simplify121.0ms (0.7%)

prune142.0ms (0.8%)

localize17.0ms (0.1%)

rewrite161.0ms (0.9%)

series733.0ms (4.2%)

simplify239.0ms (1.4%)

prune63.0ms (0.4%)

regimes4.7s (26.4%)

bsearch112.0ms (0.6%)

simplify7.0ms (0%)

end2.0ms (0%)

sample3.8s (21.7%)

Profiling