Details

analyze112.0ms (1.5%)

Algorithm

1×	search
2×	egg-herbie

Rules

915×	`distribute-rgt-in_binary64`
897×	`distribute-lft-in_binary64`
556×	`associate-/l/_binary64`
241×	`times-frac_binary64`
214×	`associate-l_binary64`
202×	`associate-/l*_binary64`
175×	`associate-r_binary64`
94×	`associate-/r*_binary64`
69×	`associate--l+_binary64`
56×	`sub-neg_binary64`
48×	`associate-/r/_binary64`
39×	`div-sub_binary64`
38×	`*-commutative_binary64`
32×	`associate-+l+_binary64`
30×	`associate-*l/_binary64`
29×	`+-commutative_binary64`
27×	`associate-*r/_binary64`
24×	`swap-sqr_binary64`
12×	`mul-1-neg_binary64` `associate-+r+_binary64`
7×	`difference-of-sqr-1_binary64`
6×	`distribute-rgt-out_binary64` `distribute-lft-out_binary64`
3×	`cube-unmult_binary64` `-rgt-identity_binary64` `-lft-identity_binary64`
1×	`1-exp_binary64` `swap-alpha-beta`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `log-rec_binary64` `log-div_binary64` `log-prod_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `unpow3_binary64` `unpow2_binary64` `unpow1/2_binary64` `pow-plus_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `exp-prod_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `exp-sum_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-mult_binary64` `cube-div_binary64` `cube-prod_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `fabs-div_binary64` `fabs-mul_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `neg-mul-1_binary64` `neg-sub0_binary64` `unsub-neg_binary64` `/-rgt-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` `sqr-pow_binary64` `difference-of-sqr--1_binary64` `difference-of-squares_binary64` `unswap-sqr_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-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64` `count-2_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--r+_binary64` `associate-+l-_binary64` `associate-+r-_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	316
1	180	316
2	812	316
3	4816	316
4	5646	316
0	3	3
1	3	3

Search

True	Other	False	Iter
0%	14%	86%	0
0%	14%	86%	1
0%	14%	86%	2
0%	14%	86%	3
0%	14%	86%	4
0%	14%	86%	5
0%	14%	86%	6
8.1%	5.9%	86%	7
10.3%	3.7%	86%	8
12.6%	1.5%	86%	9
13.9%	0.1%	86%	10
14%	0%	86%	11
14%	0%	86%	12
14%	0%	86%	13
14%	0%	86%	14

Symmetry

(sort alpha beta)

Compiler

Compiled 63 to 34 computations (46% saved)

sample46.0ms (0.6%)

Algorithm

1×

intervals

Results

21.0ms	256×	body	128	valid
6.0ms	256×	pre	128	true

Compiler

Compiled 116 to 64 computations (44.8% saved)

simplify46.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

705×	`associate-+l+_binary64`
492×	`associate-l_binary64`
422×	`associate-r_binary64`
369×	`times-frac_binary64`
336×	`associate-/l*_binary64`
252×	`distribute-rgt-in_binary64`
250×	`distribute-lft-in_binary64`
212×	`div-sub_binary64`
171×	`associate-/r*_binary64`
169×	`associate-/l/_binary64`
153×	`associate-*l/_binary64`
134×	`associate-*r/_binary64`
95×	`associate-/r/_binary64`
75×	`associate--l+_binary64`
58×	`*-commutative_binary64`
47×	`associate-+r+_binary64`
32×	`distribute-rgt-out_binary64`
28×	`+-commutative_binary64`
15×	`sub-neg_binary64` `distribute-lft-out_binary64`
8×	`swap-sqr_binary64`
4×	`mul-1-neg_binary64` `associate-+l-_binary64` `associate-+r-_binary64`
2×	`cube-unmult_binary64`
1×	`pow-plus_binary64` `1-exp_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `log-rec_binary64` `log-div_binary64` `log-prod_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `unpow3_binary64` `unpow2_binary64` `unpow1/2_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `exp-prod_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `exp-sum_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-mult_binary64` `cube-div_binary64` `cube-prod_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `fabs-div_binary64` `fabs-mul_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `neg-mul-1_binary64` `neg-sub0_binary64` `unsub-neg_binary64` `/-rgt-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` `sqr-pow_binary64` `difference-of-squares_binary64` `unswap-sqr_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-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64` `count-2_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--r+_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	79
1	65	79
2	280	79
3	1518	79
4	4862	79
5	5395	79

prune3.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

54.7b

Counts

2 → 1

Compiler

Compiled 106 to 54 computations (49.1% saved)

localize19.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 i (+.f64 (+.f64 alpha beta) i))
0.1b	(.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i))))
35.3b	(/.f64 (/.f64 (.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))) (.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) (+.f64 (+.f64 alpha beta) (.f64 2 i)))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) (+.f64 (+.f64 alpha beta) (.f64 2 i))) 1))
47.1b	(/.f64 (.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))) (.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) (+.f64 (+.f64 alpha beta) (*.f64 2 i))))

rewrite765.0ms (10.3%)

Algorithm

1×	rewrite-expression-head

Error

37.4b

Rules

86×	`times-frac_binary64`
66×	`associate-/r/_binary64`
61×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `flip3-+_binary64` `flip-+_binary64`
47×	`*-un-lft-identity_binary64`
44×	`add-sqr-sqrt_binary64`
40×	`frac-times_binary64`
34×	`associate-*r/_binary64`
28×	`add-cube-cbrt_binary64` `difference-of-squares_binary64`
22×	`prod-exp_binary64` `cbrt-unprod_binary64`
20×	`associate-*l/_binary64`
19×	`div-exp_binary64` `cbrt-undiv_binary64`
14×	`associate-/l*_binary64` `difference-of-sqr-1_binary64`
11×	`pow1_binary64`
9×	`div-inv_binary64` `associate-/l/_binary64`
8×	`associate-r_binary64`
7×	`associate-/r*_binary64`
4×	`add-log-exp_binary64` `pow-prod-down_binary64` `associate-l_binary64`
3×	`distribute-lft-out_binary64`
2×	`frac-2neg_binary64` `clear-num_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64` `*-commutative_binary64`
1×	`flip3--_binary64` `flip--_binary64` `unswap-sqr_binary64`

Counts

4 → 217

Calls

4 calls:

39.0ms	(/.f64 (/.f64 (.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))) (.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) (+.f64 (+.f64 alpha beta) (.f64 2 i)))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) (+.f64 (+.f64 alpha beta) (.f64 2 i))) 1))
26.0ms	(/.f64 (.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))) (.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) (+.f64 (+.f64 alpha beta) (*.f64 2 i))))
13.0ms	(*.f64 i (+.f64 (+.f64 alpha beta) i))
12.0ms	(.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i))))

Compiler

Compiled 16732 to 6173 computations (63.1% saved)

series1.9s (26%)

Error

11.0b

Counts

4 → 93

Calls

4 calls:

1.2s	(/.f64 (/.f64 (.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))) (.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) (+.f64 (+.f64 alpha beta) (.f64 2 i)))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) (+.f64 (+.f64 alpha beta) (.f64 2 i))) 1))
278.0ms	(/.f64 (.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))) (.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) (+.f64 (+.f64 alpha beta) (*.f64 2 i))))
136.0ms	(.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i))))
45.0ms	(*.f64 i (+.f64 (+.f64 alpha beta) i))

Compiler

Compiled 25870 to 17870 computations (30.9% saved)

simplify482.0ms (6.5%)

Algorithm

1×	egg-herbie

Rules

372×	`*-commutative_binary64`
355×	`+-commutative_binary64`
293×	`associate-+r+_binary64`
229×	`associate-/l*_binary64`
183×	`associate-*r/_binary64`
147×	`associate-/r*_binary64`
131×	`sub-neg_binary64`
126×	`times-frac_binary64`
102×	`associate-r_binary64`
76×	`unswap-sqr_binary64`
69×	`sqr-pow_binary64`
59×	`associate-/l/_binary64`
45×	`div-sub_binary64`
38×	`associate-l_binary64`
34×	`neg-mul-1_binary64` `neg-sub0_binary64`
33×	`distribute-rgt-in_binary64` `distribute-lft-in_binary64`
25×	`associate--l+_binary64`
19×	`associate--r+_binary64`
14×	`/-rgt-identity_binary64`
12×	`cube-prod_binary64`
11×	`log-prod_binary64` `unpow3_binary64` `exp-prod_binary64`
9×	`log-div_binary64` `cube-mult_binary64`
8×	`cancel-sign-sub-inv_binary64`
7×	`unpow2_binary64` `unpow1_binary64` `*-lft-identity_binary64`
5×	`cube-unmult_binary64` `distribute-lft-out_binary64`
4×	`exp-sum_binary64` `swap-sqr_binary64` `associate-+l+_binary64`
3×	`*-rgt-identity_binary64` `difference-of-squares_binary64` `distribute-rgt-out--_binary64` `associate-/r/_binary64` `associate-+r-_binary64`
2×	`pow-plus_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64` `associate-*l/_binary64` `associate--l-_binary64`
1×	`1-exp_binary64` `remove-double-div_binary64` `pow-sqr_binary64` `distribute-neg-frac_binary64` `count-2_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `log-rec_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `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-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` `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` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-neg-in_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out_binary64` `distribute-lft-out--_binary64` `associate--r-_binary64` `associate-+l-_binary64`

Counts

310 → 289

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1315	33752
1	4557	32234
2	5034	32234

prune407.0ms (5.5%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	283	6	289
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	284	6	290

Error

14.5b

Counts

290 → 6

Compiler

Compiled 20072 to 9354 computations (53.4% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (/.f64 (.f64 alpha alpha) (.f64 i i)) (/.f64 (.f64 beta beta) (.f64 i i)))
0.5b	(/.f64 1/64 (*.f64 i i))
2.2b	(/.f64 (.f64 alpha alpha) (.f64 i i))
17.9b	(/.f64 (.f64 beta beta) (.f64 i i))

rewrite134.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

11.4b

Rules

33×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
10×	`div-exp_binary64` `cbrt-undiv_binary64`
9×	`prod-exp_binary64` `cbrt-unprod_binary64`
8×	`*-un-lft-identity_binary64`
6×	`add-log-exp_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
5×	`times-frac_binary64` `div-inv_binary64` `associate-/l*_binary64`
4×	`pow1_binary64`
3×	`frac-2neg_binary64` `clear-num_binary64` `associate-/r*_binary64`
1×	`sum-log_binary64` `frac-add_binary64` `flip3-+_binary64` `flip-+_binary64` `distribute-rgt-out_binary64` `distribute-lft-out_binary64` `+-commutative_binary64`

Counts

4 → 77

Calls

4 calls:

10.0ms	(+.f64 (/.f64 (.f64 alpha alpha) (.f64 i i)) (/.f64 (.f64 beta beta) (.f64 i i)))
6.0ms	(/.f64 (.f64 beta beta) (.f64 i i))
6.0ms	(/.f64 (.f64 alpha alpha) (.f64 i i))
4.0ms	(/.f64 1/64 (*.f64 i i))

Compiler

Compiled 2457 to 805 computations (67.2% saved)

series119.0ms (1.6%)

Error

11.4b

Counts

4 → 27

Calls

4 calls:

53.0ms	(+.f64 (/.f64 (.f64 alpha alpha) (.f64 i i)) (/.f64 (.f64 beta beta) (.f64 i i)))
25.0ms	(/.f64 (.f64 beta beta) (.f64 i i))
23.0ms	(/.f64 (.f64 alpha alpha) (.f64 i i))
8.0ms	(/.f64 1/64 (*.f64 i i))

Compiler

Compiled 1358 to 1073 computations (21% saved)

simplify100.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

765×	`associate-/l*_binary64`
682×	`associate-*l/_binary64`
488×	`associate-*r/_binary64`
422×	`associate-/r*_binary64`
291×	`unswap-sqr_binary64`
244×	`associate-/l/_binary64`
203×	`times-frac_binary64`
202×	`associate-/r/_binary64`
75×	`log-div_binary64` `distribute-rgt-in_binary64`
74×	`cancel-sign-sub-inv_binary64`
70×	`sub-neg_binary64`
68×	`sqr-pow_binary64`
62×	`distribute-lft-in_binary64`
60×	`neg-mul-1_binary64` `neg-sub0_binary64` `associate-l_binary64`
51×	`distribute-rgt-neg-in_binary64`
50×	`distribute-neg-frac_binary64`
49×	`cube-div_binary64`
45×	`distribute-lft-neg-in_binary64`
37×	`associate-r_binary64`
34×	`*-commutative_binary64`
30×	`div-sub_binary64`
22×	`log-prod_binary64`
19×	`unpow3_binary64`
17×	`distribute-rgt-out_binary64`
16×	`cube-prod_binary64` `+-commutative_binary64`
13×	`pow-sqr_binary64`
12×	`distribute-lft-out_binary64`
11×	`pow-plus_binary64` `distribute-lft-neg-out_binary64`
9×	`log-pow_binary64` `cube-mult_binary64` `swap-sqr_binary64`
8×	`unsub-neg_binary64` `distribute-rgt-out--_binary64`
7×	`difference-of-squares_binary64`
6×	`fabs-div_binary64` `distribute-lft-out--_binary64`
5×	`cube-unmult_binary64` `rem-sqrt-square_binary64` `associate--r+_binary64`
4×	`exp-prod_binary64` `associate--l+_binary64`
3×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `fabs-mul_binary64` `fabs-sqr_binary64` `div0_binary64` `count-2_binary64`
1×	`prod-exp_binary64` `1-exp_binary64` `distribute-neg-in_binary64` `distribute-rgt-neg-out_binary64` `associate-+l-_binary64` `associate-+r-_binary64` `associate-+l+_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-rec_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `exp-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-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` `rem-square-sqrt_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` `*-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` `associate--r-_binary64` `associate--l-_binary64` `associate-+r+_binary64`

Counts

104 → 77

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	137	1568
1	339	1369
2	1202	1265
3	4278	1237
4	4977	1237
5	4959	1237

prune52.0ms (0.7%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	75	2	77
Fresh	1	4	5
Picked	1	0	1
Done	0	0	0
Total	77	6	83

Error

11.4b

Counts

83 → 6

Compiler

Compiled 1141 to 493 computations (56.8% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (+.f64 1/16 (/.f64 1/64 (.f64 i i))) (.f64 1/32 (/.f64 (.f64 alpha alpha) (.f64 i i))))
0.5b	(/.f64 1/64 (*.f64 i i))
2.2b	(/.f64 (.f64 alpha alpha) (.f64 i i))

rewrite104.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

10.9b

Rules

20×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`add-log-exp_binary64`
6×	`div-exp_binary64` `cbrt-undiv_binary64`
5×	`prod-exp_binary64` `add-cube-cbrt_binary64` `cbrt-unprod_binary64` `add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
4×	`times-frac_binary64` `associate-/l*_binary64`
3×	`pow1_binary64`
2×	`frac-2neg_binary64` `clear-num_binary64` `div-inv_binary64` `associate-/r_binary64` `diff-log_binary64` `associate-r/_binary64` `frac-sub_binary64`
1×	`sum-log_binary64` `flip3-+_binary64` `flip-+_binary64` `flip3--_binary64` `sub-neg_binary64` `flip--_binary64` `cancel-sign-sub-inv_binary64` `associate--l+_binary64`

Counts

3 → 58

Calls

3 calls:

13.0ms	(-.f64 (+.f64 1/16 (/.f64 1/64 (.f64 i i))) (.f64 1/32 (/.f64 (.f64 alpha alpha) (.f64 i i))))
6.0ms	(/.f64 (.f64 alpha alpha) (.f64 i i))
5.0ms	(/.f64 1/64 (*.f64 i i))

Compiler

Compiled 1511 to 702 computations (53.5% saved)

series91.0ms (1.2%)

Error

10.8b

Counts

3 → 20

Calls

3 calls:

49.0ms	(-.f64 (+.f64 1/16 (/.f64 1/64 (.f64 i i))) (.f64 1/32 (/.f64 (.f64 alpha alpha) (.f64 i i))))
27.0ms	(/.f64 (.f64 alpha alpha) (.f64 i i))
7.0ms	(/.f64 1/64 (*.f64 i i))

Compiler

Compiled 638 to 610 computations (4.4% saved)

simplify57.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

667×	`associate-*l/_binary64`
664×	`times-frac_binary64`
448×	`associate-/l*_binary64`
290×	`distribute-rgt-in_binary64`
279×	`distribute-lft-in_binary64`
273×	`associate-/r*_binary64`
148×	`cancel-sign-sub-inv_binary64`
133×	`associate-/l/_binary64`
132×	`distribute-rgt-neg-in_binary64`
116×	`distribute-lft-neg-in_binary64`
100×	`associate-/r/_binary64`
85×	`distribute-neg-frac_binary64`
67×	`associate-l_binary64`
60×	`associate-r_binary64`
51×	`sub-neg_binary64`
49×	`associate-r/_binary64` `-commutative_binary64`
35×	`sqr-pow_binary64`
33×	`neg-mul-1_binary64` `neg-sub0_binary64`
29×	`unswap-sqr_binary64`
27×	`+-commutative_binary64`
24×	`distribute-lft-neg-out_binary64`
22×	`cube-div_binary64`
21×	`distribute-rgt-out_binary64`
20×	`exp-prod_binary64` `cube-prod_binary64`
17×	`log-div_binary64`
16×	`distribute-neg-in_binary64`
12×	`log-prod_binary64` `swap-sqr_binary64`
11×	`unpow3_binary64` `associate-+l+_binary64`
10×	`exp-sum_binary64`
7×	`cube-mult_binary64`
6×	`div-sub_binary64` `pow-sqr_binary64` `distribute-rgt-neg-out_binary64` `associate--l+_binary64` `associate-+r+_binary64`
5×	`div-exp_binary64` `exp-diff_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out_binary64`
4×	`pow-plus_binary64` `unsub-neg_binary64`
3×	`difference-of-squares_binary64` `associate--r+_binary64` `associate-+r-_binary64`
2×	`log-pow_binary64` `unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `cube-unmult_binary64` `+-rgt-identity_binary64` `distribute-lft-out--_binary64` `count-2_binary64`
1×	`log-rec_binary64` `prod-exp_binary64` `1-exp_binary64` `fabs-div_binary64` `rem-sqrt-square_binary64` `remove-double-neg_binary64` `distribute-frac-neg_binary64` `associate-+l-_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `rec-exp_binary64` `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` `fabs-mul_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-square-sqrt_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `-lft-identity_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-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `associate--r-_binary64` `associate--l-_binary64`

Counts

78 → 56

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	142	1381
1	353	1208
2	1263	1126
3	5263	1126

prune42.0ms (0.6%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	53	3	56
Fresh	0	5	5
Picked	1	0	1
Done	0	0	0
Total	54	8	62

Error

10.8b

Counts

62 → 8

Compiler

Compiled 826 to 499 computations (39.6% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.5b	(/.f64 1/64 (*.f64 i i))

rewrite30.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Error

10.8b

Rules

6×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `times-frac_binary64` `-un-lft-identity_binary64` `associate-/l_binary64`
2×	`div-exp_binary64` `cbrt-undiv_binary64`
1×	`pow1_binary64` `prod-exp_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `frac-2neg_binary64` `clear-num_binary64` `div-inv_binary64` `associate-/r*_binary64`

Counts

1 → 21

Calls

1 calls:

4.0ms

(/.f64 1/64 (*.f64 i i))

Compiler

Compiled 247 to 168 computations (32% saved)

series9.0ms (0.1%)

Error

10.8b

Counts

1 → 3

Calls

1 calls:

7.0ms

(/.f64 1/64 (*.f64 i i))

Compiler

Compiled 49 to 63 computations (-28.6% saved)

simplify104.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

506×	`unsub-neg_binary64`
375×	`distribute-neg-in_binary64`
297×	`sub-neg_binary64`
293×	`times-frac_binary64`
269×	`associate-/l/_binary64`
263×	`*-commutative_binary64`
228×	`neg-sub0_binary64`
225×	`neg-mul-1_binary64`
178×	`unswap-sqr_binary64`
170×	`associate-/l*_binary64`
168×	`associate-/r*_binary64`
154×	`sqr-pow_binary64`
147×	`associate-l_binary64`
136×	`distribute-rgt-in_binary64`
131×	`associate-*l/_binary64`
126×	`cancel-sign-sub_binary64`
114×	`cancel-sign-sub-inv_binary64`
107×	`associate--l+_binary64`
106×	`distribute-lft-in_binary64`
105×	`associate-+l+_binary64`
103×	`distribute-lft-neg-in_binary64`
102×	`log-prod_binary64`
101×	`associate-r_binary64`
97×	`associate--r+_binary64`
96×	`distribute-rgt-neg-in_binary64`
94×	`distribute-neg-out_binary64`
81×	`cube-prod_binary64`
80×	`div-sub_binary64`
66×	`associate-*r/_binary64`
65×	`associate-+r+_binary64`
64×	`associate-/r/_binary64`
61×	`distribute-rgt-out_binary64`
57×	`distribute-rgt-out--_binary64` `associate--l-_binary64`
53×	`distribute-lft-out--_binary64`
52×	`associate-+l-_binary64`
49×	`unpow3_binary64` `pow-sqr_binary64`
44×	`log-pow_binary64`
41×	`cube-mult_binary64`
40×	`distribute-lft-neg-out_binary64`
39×	`distribute-lft-out_binary64`
38×	`associate--r-_binary64`
35×	`pow-plus_binary64`
33×	`swap-sqr_binary64`
31×	`distribute-rgt-neg-out_binary64`
27×	`remove-double-neg_binary64`
24×	`+-commutative_binary64`
23×	`mul0-rgt_binary64` `mul0-lft_binary64`
21×	`div0_binary64`
18×	`log-div_binary64`
17×	`cube-div_binary64`
16×	`*-rgt-identity_binary64`
15×	`*-lft-identity_binary64`
14×	`sub0-neg_binary64` `associate-+r-_binary64`
13×	`+-rgt-identity_binary64`
11×	`count-2_binary64`
10×	`fabs-mul_binary64` `--rgt-identity_binary64`
9×	`cube-unmult_binary64` `distribute-rgt1-in_binary64`
6×	`distribute-lft1-in_binary64`
5×	`unpow2_binary64` `unpow1_binary64` `+-lft-identity_binary64`
4×	`fabs-sqr_binary64`
3×	`unpow1/2_binary64`
1×	`1-exp_binary64` `rem-sqrt-square_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-rec_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `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-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` `rem-square-sqrt_binary64` `mul-1-neg_binary64` `/-rgt-identity_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` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64`

Counts

24 → 14

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	48	260
1	87	215
2	170	206
3	423	206
4	1555	206
5	2100	206
6	3424	206
7	3983	206
8	4682	206
9	4685	206

prune8.0ms (0.1%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	14	0	14
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	14	8	22

Error

10.8b

Counts

22 → 8

Compiler

Compiled 74 to 60 computations (18.9% saved)

regimes1.3s (17%)

Accuracy

Total 1.3b remaining (11.6%)

Threshold costs 0b (0%)

Compiler

Compiled 26435 to 14873 computations (43.7% saved)

bsearch21.0ms (0.3%)

Steps

Iters	Range		Point
2	1.2476028098887301e+120	1.3865553639261642e+120	1.3637460285271444e+120

Compiler

Compiled 1 to 3 computations (-200% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

7×	`+-commutative_binary64`
4×	`*-commutative_binary64`
1×	`1-exp_binary64` `sub-neg_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `unpow1_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `fabs-div_binary64` `fabs-mul_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `neg-mul-1_binary64` `neg-sub0_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	29	98
1	44	98
2	45	98
3	43	98

end9.0ms (0.1%)

Remove: (sort alpha beta)
Compiler: Compiled 198 to 111 computations (43.9% saved)

sample1.4s (19.4%)

Algorithm

1×

intervals

Results

667.0ms	8000×	body	128	valid
200.0ms	8000×	pre	128	true

Compiler

Compiled 347 to 238 computations (31.4% saved)

Details

analyze112.0ms (1.5%)

sample46.0ms (0.6%)

simplify46.0ms (0.6%)

prune3.0ms (0%)

localize19.0ms (0.3%)

rewrite765.0ms (10.3%)

series1.9s (26%)

simplify482.0ms (6.5%)

prune407.0ms (5.5%)

localize15.0ms (0.2%)

rewrite134.0ms (1.8%)

series119.0ms (1.6%)

simplify100.0ms (1.3%)

prune52.0ms (0.7%)

localize9.0ms (0.1%)

rewrite104.0ms (1.4%)

series91.0ms (1.2%)

simplify57.0ms (0.8%)

prune42.0ms (0.6%)

localize4.0ms (0.1%)

rewrite30.0ms (0.4%)

series9.0ms (0.1%)

simplify104.0ms (1.4%)

prune8.0ms (0.1%)

regimes1.3s (17%)

bsearch21.0ms (0.3%)

simplify5.0ms (0.1%)

end9.0ms (0.1%)

sample1.4s (19.4%)

Profiling