Details

analyze105.0ms (0.9%)

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` `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)

sample44.0ms (0.4%)

Algorithm

1×

intervals

Results

19.0ms	256×	body	128	valid
5.0ms	256×	pre	128	true

Compiler

Compiled 116 to 64 computations (44.8% saved)

simplify51.0ms (0.4%)

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` `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

53.8b

Counts

2 → 1

Compiler

Compiled 106 to 54 computations (49.1% saved)

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) (+.f64 (+.f64 alpha beta) (*.f64 2 i)))
0.1b	(.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i))))
34.0b	(/.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))
46.5b	(/.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))))

rewrite916.0ms (7.6%)

Algorithm

1×	rewrite-expression-head

Error

35.7b

Rules

86×	`times-frac_binary64`
66×	`flip3-+_binary64` `flip-+_binary64` `associate-/r/_binary64`
61×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
46×	`add-sqr-sqrt_binary64`
44×	`*-un-lft-identity_binary64` `frac-times_binary64`
34×	`associate-*r/_binary64`
30×	`add-cube-cbrt_binary64`
28×	`difference-of-squares_binary64`
22×	`prod-exp_binary64` `cbrt-unprod_binary64` `associate-*l/_binary64`
19×	`div-exp_binary64` `cbrt-undiv_binary64`
16×	`pow1_binary64`
14×	`associate-/l*_binary64` `difference-of-sqr-1_binary64`
9×	`div-inv_binary64` `associate-/l/_binary64`
7×	`associate-/r*_binary64`
6×	`associate-r_binary64`
4×	`add-log-exp_binary64` `pow-prod-down_binary64` `associate-l_binary64`
3×	`swap-sqr_binary64`
2×	`frac-2neg_binary64` `clear-num_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64` `*-commutative_binary64`
1×	`flip3--_binary64` `flip--_binary64` `pow2_binary64` `pow-prod-up_binary64` `pow-plus_binary64` `pow-sqr_binary64` `unswap-sqr_binary64`

Counts

4 → 228

Calls

4 calls:

41.0ms	(/.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))))
18.0ms	(.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) (+.f64 (+.f64 alpha beta) (*.f64 2 i)))
13.0ms	(.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i))))

Compiler

Compiled 17673 to 6571 computations (62.8% saved)

series2.0s (16.5%)

Error

11.6b

Counts

4 → 92

Calls

4 calls:

1.5s	(/.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))
195.0ms	(/.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))))
137.0ms	(.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i))))
76.0ms	(.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) (+.f64 (+.f64 alpha beta) (*.f64 2 i)))

Compiler

Compiled 22629 to 15520 computations (31.4% saved)

simplify386.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

502×	`distribute-rgt-in_binary64`
473×	`distribute-lft-in_binary64`
226×	`*-commutative_binary64`
187×	`+-commutative_binary64`
139×	`associate-/l*_binary64`
134×	`associate-+r+_binary64`
107×	`sub-neg_binary64`
101×	`associate-/r*_binary64`
82×	`associate-*r/_binary64`
80×	`times-frac_binary64`
79×	`associate-r_binary64`
77×	`cancel-sign-sub-inv_binary64`
61×	`sqr-pow_binary64`
59×	`associate-/l/_binary64`
56×	`unswap-sqr_binary64`
45×	`div-sub_binary64`
41×	`distribute-rgt-neg-in_binary64`
40×	`associate-l_binary64`
39×	`distribute-neg-in_binary64`
32×	`distribute-lft-neg-in_binary64`
28×	`neg-mul-1_binary64` `neg-sub0_binary64`
24×	`swap-sqr_binary64`
22×	`distribute-rgt-out_binary64`
19×	`associate--l+_binary64`
14×	`/-rgt-identity_binary64`
13×	`exp-prod_binary64` `cube-prod_binary64` `associate--r+_binary64`
12×	`log-prod_binary64` `distribute-lft-out_binary64`
11×	`unpow3_binary64`
9×	`log-div_binary64` `cube-mult_binary64`
8×	`unpow2_binary64` `unpow1_binary64`
7×	`cube-unmult_binary64` `distribute-lft-neg-out_binary64`
6×	`exp-sum_binary64` `*-lft-identity_binary64` `distribute-neg-frac_binary64`
5×	`distribute-rgt-out--_binary64`
4×	`associate-+l+_binary64`
3×	`*-rgt-identity_binary64` `difference-of-sqr--1_binary64` `difference-of-squares_binary64` `associate-/r/_binary64` `associate-+r-_binary64`
2×	`pow-plus_binary64` `rem-sqrt-square_binary64` `difference-of-sqr-1_binary64` `associate-*l/_binary64` `associate--l-_binary64`
1×	`1-exp_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-square-sqrt_binary64` `remove-double-div_binary64` `pow-sqr_binary64` `distribute-rgt1-in_binary64` `distribute-lft-out--_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-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_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-rgt-neg-out_binary64` `distribute-lft1-in_binary64` `associate--r-_binary64` `associate-+l-_binary64`

Counts

320 → 301

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	858	27250
1	2914	25225
2	5744	25225

prune303.0ms (2.5%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	291	10	301
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	292	10	302

Error

14.1b

Counts

302 → 10

Compiler

Compiled 16133 to 7303 computations (54.7% saved)

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.6b	(/.f64 1/64 (*.f64 i i))
2.0b	(/.f64 (.f64 alpha alpha) (.f64 i i))
17.7b	(/.f64 (.f64 beta beta) (.f64 i i))

rewrite110.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

8.8b

Rules

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

Counts

3 → 63

Calls

3 calls:

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

Compiler

Compiled 1945 to 675 computations (65.3% saved)

series62.0ms (0.5%)

Error

14.1b

Counts

3 → 15

Calls

3 calls:

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

Compiler

Compiled 825 to 608 computations (26.3% saved)

simplify79.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

691×	`associate-/l*_binary64`
488×	`unswap-sqr_binary64`
465×	`associate-*l/_binary64`
360×	`associate-/r*_binary64`
318×	`associate-l_binary64`
300×	`associate-*r/_binary64`
246×	`associate-r_binary64`
229×	`associate-/l/_binary64`
201×	`times-frac_binary64`
164×	`associate-/r/_binary64`
144×	`sub-neg_binary64`
126×	`sqr-pow_binary64`
72×	`log-prod_binary64`
71×	`log-div_binary64`
59×	`cube-div_binary64` `*-commutative_binary64`
52×	`cube-prod_binary64`
44×	`unpow3_binary64`
36×	`cube-mult_binary64` `associate-+l+_binary64`
33×	`neg-mul-1_binary64`
30×	`neg-sub0_binary64` `swap-sqr_binary64`
29×	`cancel-sign-sub-inv_binary64` `+-commutative_binary64`
28×	`pow-plus_binary64`
27×	`associate--r+_binary64` `associate-+r+_binary64`
26×	`associate--l+_binary64` `associate-+l-_binary64`
23×	`pow-sqr_binary64`
20×	`unsub-neg_binary64`
17×	`distribute-lft-neg-in_binary64`
16×	`cube-unmult_binary64`
15×	`log-pow_binary64` `distribute-rgt-neg-in_binary64` `distribute-rgt-in_binary64`
14×	`distribute-lft-in_binary64`
13×	`+-rgt-identity_binary64` `associate-+r-_binary64`
12×	`exp-prod_binary64` `sub0-neg_binary64`
7×	`count-2_binary64`
6×	`mul0-rgt_binary64` `mul0-lft_binary64` `distribute-lft-out--_binary64`
5×	`rem-sqrt-square_binary64` `distribute-lft-out_binary64`
4×	`--rgt-identity_binary64` `distribute-neg-in_binary64` `distribute-rgt-out--_binary64`
3×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64`
1×	`1-exp_binary64` `remove-double-neg_binary64` `+-lft-identity_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-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` `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` `sqr-abs_binary64` `sqr-neg_binary64` `rem-square-sqrt_binary64` `div-sub_binary64` `mul-1-neg_binary64` `/-rgt-identity_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-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out_binary64` `associate--l-_binary64`

Counts

78 → 52

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	112	1090
1	247	801
2	854	742
3	3278	712
4	4137	712
5	5084	712

prune36.0ms (0.3%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	51	1	52
Fresh	0	9	9
Picked	1	0	1
Done	0	0	0
Total	52	10	62

Error

9.0b

Counts

62 → 10

Compiler

Compiled 905 to 468 computations (48.3% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(pow.f64 (/.f64 beta i) 6)
0.6b	(/.f64 1/64 (*.f64 i i))
2.0b	(/.f64 (.f64 alpha alpha) (.f64 i i))
18.7b	(cbrt.f64 (pow.f64 (/.f64 beta i) 6))

rewrite169.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

9.0b

Rules

26×	`unpow-prod-down_binary64`
24×	`add-exp-log_binary64`
22×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `times-frac_binary64` `*-un-lft-identity_binary64`
21×	`add-cbrt-cube_binary64`
17×	`cbrt-prod_binary64`
7×	`div-exp_binary64`
6×	`cbrt-undiv_binary64`
5×	`pow1_binary64` `prod-exp_binary64` `cbrt-unprod_binary64`
4×	`add-log-exp_binary64` `div-inv_binary64` `associate-/l*_binary64`
3×	`pow-unpow_binary64`
2×	`sqr-pow_binary64` `frac-2neg_binary64` `clear-num_binary64` `associate-/r*_binary64` `pow-exp_binary64`
1×	`pow1/3_binary64` `pow-pow_binary64` `pow-to-exp_binary64`

Counts

4 → 95

Calls

4 calls:

6.0ms	(/.f64 (.f64 alpha alpha) (.f64 i i))
4.0ms	(pow.f64 (/.f64 beta i) 6)
4.0ms	(/.f64 1/64 (*.f64 i i))
4.0ms	(cbrt.f64 (pow.f64 (/.f64 beta i) 6))

Compiler

Compiled 2870 to 1404 computations (51.1% saved)

series97.0ms (0.8%)

Error

9.0b

Counts

4 → 21

Calls

4 calls:

31.0ms	(pow.f64 (/.f64 beta i) 6)
25.0ms	(cbrt.f64 (pow.f64 (/.f64 beta i) 6))
24.0ms	(/.f64 (.f64 alpha alpha) (.f64 i i))
9.0ms	(/.f64 1/64 (*.f64 i i))

Compiler

Compiled 1143 to 903 computations (21% saved)

simplify102.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

656×	`times-frac_binary64`
438×	`associate-/l*_binary64`
391×	`associate-*l/_binary64`
380×	`associate-l_binary64`
373×	`log-prod_binary64`
327×	`associate-r_binary64`
291×	`associate-*r/_binary64`
274×	`associate-/r*_binary64`
163×	`log-div_binary64`
153×	`associate-/l/_binary64`
116×	`sqr-pow_binary64`
91×	`unswap-sqr_binary64`
89×	`associate-/r/_binary64`
54×	`cube-div_binary64`
48×	`swap-sqr_binary64`
40×	`log-pow_binary64`
31×	`unpow3_binary64`
30×	`cube-mult_binary64`
22×	`cube-prod_binary64`
21×	`sub-neg_binary64`
19×	`exp-prod_binary64`
14×	`pow-sqr_binary64`
12×	`cube-unmult_binary64`
11×	`*-commutative_binary64`
9×	`cancel-sign-sub-inv_binary64`
8×	`pow-plus_binary64`
7×	`distribute-rgt-in_binary64`
6×	`rem-sqrt-square_binary64` `neg-mul-1_binary64` `neg-sub0_binary64` `distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64`
5×	`distribute-lft-in_binary64`
4×	`unpow1/2_binary64` `unpow1_binary64` `*-rgt-identity_binary64` `count-2_binary64` `+-commutative_binary64`
3×	`unpow2_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `/-rgt-identity_binary64` `associate--r+_binary64`
2×	`associate--l+_binary64`
1×	`1-exp_binary64` `rem-3cbrt-lft_binary64` `rem-square-sqrt_binary64` `unsub-neg_binary64` `*-lft-identity_binary64` `distribute-neg-in_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64` `distribute-lft-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` `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` `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` `sqr-abs_binary64` `sqr-neg_binary64` `div-sub_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` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate-+l-_binary64` `associate-+r-_binary64` `associate-+l+_binary64` `associate-+r+_binary64`

Counts

116 → 71

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	186	1684
1	356	1391
2	978	1309
3	4305	1309
4	5069	1309

prune49.0ms (0.4%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	71	0	71
Fresh	0	9	9
Picked	0	1	1
Done	0	0	0
Total	71	10	81

Error

9.0b

Counts

81 → 10

Compiler

Compiled 1113 to 627 computations (43.7% saved)

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(/.f64 (/.f64 (.f64 i (+.f64 alpha (+.f64 beta i))) (+.f64 alpha (+.f64 beta (.f64 2 i)))) (+.f64 1 (+.f64 alpha (+.f64 beta (*.f64 2 i)))))
0.3b	(/.f64 (/.f64 (+.f64 (.f64 alpha beta) (.f64 i (+.f64 alpha (+.f64 beta i)))) (+.f64 alpha (+.f64 beta (.f64 2 i)))) (-.f64 (+.f64 alpha (+.f64 beta (.f64 2 i))) 1))
33.1b	(/.f64 (.f64 i (+.f64 alpha (+.f64 beta i))) (+.f64 alpha (+.f64 beta (.f64 2 i))))
33.3b	(/.f64 (+.f64 (.f64 alpha beta) (.f64 i (+.f64 alpha (+.f64 beta i)))) (+.f64 alpha (+.f64 beta (*.f64 2 i))))

rewrite561.0ms (4.6%)

Algorithm

1×	rewrite-expression-head

Error

8.9b

Rules

376×	`*-un-lft-identity_binary64`
342×	`times-frac_binary64`
205×	`add-sqr-sqrt_binary64`
129×	`add-cube-cbrt_binary64`
91×	`distribute-lft-out_binary64`
38×	`associate-/r/_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64`
32×	`associate-/l*_binary64`
25×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
21×	`associate-/r*_binary64`
20×	`flip3-+_binary64` `flip-+_binary64`
19×	`div-inv_binary64` `difference-of-sqr-1_binary64`
11×	`div-exp_binary64` `cbrt-undiv_binary64`
6×	`associate-/l/_binary64`
4×	`pow1_binary64` `add-log-exp_binary64` `frac-2neg_binary64` `clear-num_binary64`
2×	`prod-exp_binary64` `cbrt-unprod_binary64` `associate-*r/_binary64`
1×	`flip3--_binary64` `flip--_binary64`

Counts

4 → 333

Calls

4 calls:

24.0ms	(/.f64 (/.f64 (+.f64 (.f64 alpha beta) (.f64 i (+.f64 alpha (+.f64 beta i)))) (+.f64 alpha (+.f64 beta (.f64 2 i)))) (-.f64 (+.f64 alpha (+.f64 beta (.f64 2 i))) 1))
19.0ms	(/.f64 (/.f64 (.f64 i (+.f64 alpha (+.f64 beta i))) (+.f64 alpha (+.f64 beta (.f64 2 i)))) (+.f64 1 (+.f64 alpha (+.f64 beta (*.f64 2 i)))))
12.0ms	(/.f64 (.f64 i (+.f64 alpha (+.f64 beta i))) (+.f64 alpha (+.f64 beta (.f64 2 i))))
10.0ms	(/.f64 (+.f64 (.f64 alpha beta) (.f64 i (+.f64 alpha (+.f64 beta i)))) (+.f64 alpha (+.f64 beta (*.f64 2 i))))

Compiler

Compiled 17784 to 8516 computations (52.1% saved)

series914.0ms (7.5%)

Error

8.7b

Counts

4 → 95

Calls

4 calls:

381.0ms	(/.f64 (/.f64 (+.f64 (.f64 alpha beta) (.f64 i (+.f64 alpha (+.f64 beta i)))) (+.f64 alpha (+.f64 beta (.f64 2 i)))) (-.f64 (+.f64 alpha (+.f64 beta (.f64 2 i))) 1))
207.0ms	(/.f64 (/.f64 (.f64 i (+.f64 alpha (+.f64 beta i))) (+.f64 alpha (+.f64 beta (.f64 2 i)))) (+.f64 1 (+.f64 alpha (+.f64 beta (*.f64 2 i)))))
109.0ms	(/.f64 (+.f64 (.f64 alpha beta) (.f64 i (+.f64 alpha (+.f64 beta i)))) (+.f64 alpha (+.f64 beta (*.f64 2 i))))
80.0ms	(/.f64 (.f64 i (+.f64 alpha (+.f64 beta i))) (+.f64 alpha (+.f64 beta (.f64 2 i))))

Compiler

Compiled 18258 to 12332 computations (32.5% saved)

simplify440.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

378×	`distribute-rgt-in_binary64`
348×	`distribute-lft-in_binary64`
240×	`+-commutative_binary64`
191×	`sub-neg_binary64`
172×	`associate-+r+_binary64`
146×	`*-commutative_binary64`
118×	`associate-/l/_binary64`
100×	`distribute-neg-in_binary64` `associate-/l*_binary64`
96×	`associate-*r/_binary64`
89×	`associate-/r*_binary64`
82×	`cancel-sign-sub-inv_binary64`
51×	`neg-mul-1_binary64` `neg-sub0_binary64`
50×	`times-frac_binary64`
42×	`div-sub_binary64`
40×	`sqr-pow_binary64`
37×	`associate--l+_binary64`
32×	`associate--r+_binary64`
28×	`/-rgt-identity_binary64`
26×	`distribute-rgt-out_binary64`
20×	`distribute-rgt-neg-in_binary64`
18×	`associate-r_binary64`
15×	`log-div_binary64` `distribute-lft-neg-in_binary64` `associate-/r/_binary64`
14×	`unswap-sqr_binary64`
13×	`distribute-neg-frac_binary64` `associate-l_binary64`
11×	`unpow2_binary64` `unpow1_binary64`
10×	`distribute-lft-out_binary64`
9×	`cube-unmult_binary64`
7×	`unpow3_binary64` `cube-mult_binary64` `-rgt-identity_binary64` `-lft-identity_binary64`
5×	`distribute-lft-neg-out_binary64`
4×	`swap-sqr_binary64` `distribute-rgt-out--_binary64` `associate-*l/_binary64`
3×	`unsub-neg_binary64` `associate-+r-_binary64`
2×	`associate--l-_binary64`
1×	`log-prod_binary64` `1-exp_binary64` `cube-div_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `log-rec_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `unpow1/2_binary64` `pow-plus_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `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-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` `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` `pow-sqr_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` `associate-+l+_binary64`

Counts

428 → 402

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	963	28670
1	3036	27966
2	5132	27966

prune491.0ms (4%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	397	5	402
Fresh	5	3	8
Picked	1	0	1
Done	0	1	1
Total	403	9	412

Error

8.7b

Counts

412 → 9

Compiler

Compiled 19489 to 9454 computations (51.5% saved)

regimes3.4s (28.1%)

Accuracy

Total 0.8b remaining (7.9%)

Threshold costs 0.8b (7.9%)

Compiler

Compiled 67036 to 39641 computations (40.9% saved)

bsearch43.0ms (0.4%)

Steps

Iters	Range		Point
7	1.2121099889935187e+142	4.003445032323699e+143	2.839314184964972e+143

Compiler

Compiled 1 to 3 computations (-200% saved)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Rules

10×	`+-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` `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	32	89
1	42	89
2	43	89
3	41	89

end9.0ms (0.1%)

Remove: (sort alpha beta)
Compiler: Compiled 180 to 114 computations (36.7% saved)

sample1.7s (13.9%)

Algorithm

1×

intervals

Results

626.0ms	8000×	body	128	valid
196.0ms	8000×	pre	128	true

Compiler

Compiled 604 to 380 computations (37.1% saved)

Details

analyze105.0ms (0.9%)

sample44.0ms (0.4%)

simplify51.0ms (0.4%)

prune3.0ms (0%)

localize19.0ms (0.2%)

rewrite916.0ms (7.6%)

series2.0s (16.5%)

simplify386.0ms (3.2%)

prune303.0ms (2.5%)

localize12.0ms (0.1%)

rewrite110.0ms (0.9%)

series62.0ms (0.5%)

simplify79.0ms (0.7%)

prune36.0ms (0.3%)

localize14.0ms (0.1%)

rewrite169.0ms (1.4%)

series97.0ms (0.8%)

simplify102.0ms (0.8%)

prune49.0ms (0.4%)

localize19.0ms (0.2%)

rewrite561.0ms (4.6%)

series914.0ms (7.5%)

simplify440.0ms (3.6%)

prune491.0ms (4%)

regimes3.4s (28.1%)

bsearch43.0ms (0.4%)

simplify5.0ms (0%)

end9.0ms (0.1%)

sample1.7s (13.9%)

Profiling