Details

analyze2.3s (31%)

Algorithm

1×	search
2×	egg-herbie

Rules

584×	`exp-prod_binary64`
582×	`exp-sum_binary64`
397×	`sub-neg_binary64`
308×	`exp-diff_binary64`
164×	`distribute-rgt-in_binary64`
152×	`times-frac_binary64`
144×	`distribute-lft-in_binary64`
130×	`neg-mul-1_binary64`
128×	`unsub-neg_binary64`
117×	`neg-sub0_binary64`
108×	`*-commutative_binary64`
107×	`+-commutative_binary64`
102×	`associate-+r-_binary64`
85×	`associate-r_binary64`
80×	`associate-+l-_binary64`
76×	`associate-l_binary64`
66×	`distribute-neg-in_binary64`
61×	`associate--r+_binary64`
53×	`associate-+l+_binary64`
44×	`associate-+r+_binary64`
41×	`associate-/l_binary64` `associate-l/_binary64`
40×	`associate-/r/_binary64`
37×	`sqr-pow_binary64`
33×	`associate--r-_binary64`
32×	`associate--l-_binary64` `associate--l+_binary64`
31×	`cancel-sign-sub-inv_binary64`
30×	`associate-*r/_binary64`
27×	`exp-neg_binary64`
26×	`distribute-lft-neg-in_binary64`
25×	`exp-sqrt_binary64`
22×	`distribute-neg-out_binary64` `associate-/r*_binary64`
21×	`div-exp_binary64` `sub0-neg_binary64` `distribute-lft-out_binary64`
18×	`distribute-rgt-neg-in_binary64`
11×	`prod-exp_binary64` `associate-/l/_binary64`
10×	`unpow2_binary64`
9×	`unpow3_binary64` `unpow1/2_binary64` `pow-plus_binary64` `unpow1_binary64` `cube-unmult_binary64` `rem-sqrt-square_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64`
8×	`remove-double-neg_binary64`
5×	`sqr-neg_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` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `rec-exp_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` `div-sub_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `-lft-identity_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` `cancel-sign-sub_binary64` `distribute-neg-frac_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` `count-2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	154	495
1	397	495
2	925	473
3	3020	473
4	4898	473
5	5136	473
0	5	5
1	5	5

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
12.5%	87.3%	0.2%	9
12.5%	87.3%	0.2%	10
18.7%	81.1%	0.2%	11
18.7%	81.1%	0.2%	12
18.7%	81.1%	0.2%	13
20.5%	79.3%	0.2%	14

Compiler

Compiled 30 to 24 computations (20% saved)

sample44.0ms (0.6%)

Algorithm

1×

intervals

Results

24.0ms	250×	body	128	valid
1.0ms	3×	body	1024	valid
1.0ms	3×	body	512	valid
1.0ms	7×	body	128	invalid
1.0ms	2×	body	512	invalid
1.0ms	1×	body	2048	invalid
0.0ms	2×	body	256	invalid
0.0ms	1×	body	1024	invalid

Compiler

Compiled 59 to 52 computations (11.9% saved)

simplify52.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

604×	`exp-prod_binary64`
534×	`exp-sum_binary64`
375×	`associate-l_binary64`
303×	`associate-r_binary64`
251×	`times-frac_binary64`
229×	`cancel-sign-sub-inv_binary64`
204×	`distribute-rgt-in_binary64`
182×	`associate-/l*_binary64`
169×	`exp-diff_binary64`
164×	`distribute-lft-in_binary64`
112×	`associate-/r_binary64` `associate-l/_binary64`
99×	`sub-neg_binary64`
92×	`distribute-neg-in_binary64`
87×	`unsub-neg_binary64`
86×	`associate-*r/_binary64`
74×	`associate--r-_binary64`
70×	`associate--l-_binary64`
68×	`distribute-rgt-neg-in_binary64`
60×	`exp-sqrt_binary64`
54×	`distribute-lft-neg-in_binary64` `associate-/l/_binary64`
52×	`associate-+l+_binary64`
48×	`sqr-pow_binary64`
47×	`distribute-rgt-neg-out_binary64`
44×	`associate-/r/_binary64`
43×	`div-exp_binary64`
42×	`distribute-lft-neg-out_binary64`
41×	`prod-exp_binary64`
40×	`neg-mul-1_binary64`
39×	`neg-sub0_binary64`
38×	`associate--r+_binary64`
35×	`associate-+r+_binary64`
34×	`*-commutative_binary64`
31×	`exp-neg_binary64`
30×	`associate--l+_binary64`
24×	`+-commutative_binary64`
23×	`unswap-sqr_binary64`
22×	`distribute-rgt-out_binary64`
21×	`distribute-neg-out_binary64`
20×	`associate-+l-_binary64`
19×	`distribute-rgt-out--_binary64` `associate-+r-_binary64`
17×	`div-sub_binary64`
15×	`distribute-neg-frac_binary64`
13×	`rec-exp_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `distribute-lft-out_binary64`
10×	`+-rgt-identity_binary64`
7×	`*-lft-identity_binary64` `--rgt-identity_binary64` `pow-sqr_binary64` `swap-sqr_binary64` `distribute-lft-out--_binary64`
6×	`/-rgt-identity_binary64` `distribute-frac-neg_binary64`
5×	`pow-plus_binary64` `mul0-rgt_binary64` `mul0-lft_binary64`
4×	`*-rgt-identity_binary64`
2×	`cube-unmult_binary64` `sqr-neg_binary64`
1×	`cos-neg_binary64` `unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-sqrt-square_binary64` `mul-1-neg_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` `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` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `e-exp-1_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` `+-lft-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` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `count-2_binary64`

Counts

1 → 1

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	22	45
1	56	45
2	121	43
3	355	43
4	1127	43
5	4019	43
6	5097	43

prune5.0ms (0.1%)

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

17.8b

Counts

2 → 1

Compiler

Compiled 57 to 45 computations (21.1% saved)

localize19.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 K (+.f64 m n))
0.0b	(pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)
0.0b	(exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n)))))
35.7b	(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))

rewrite227.0ms (3.1%)

Algorithm

1×	rewrite-expression-head

Error

17.5b

Rules

27×	`*-un-lft-identity_binary64`
22×	`add-sqr-sqrt_binary64`
15×	`add-log-exp_binary64`
11×	`add-cube-cbrt_binary64`
8×	`cancel-sign-sub-inv_binary64` `exp-prod_binary64` `distribute-lft-out--_binary64`
7×	`pow1_binary64` `add-exp-log_binary64` `exp-sum_binary64`
6×	`add-cbrt-cube_binary64` `diff-log_binary64` `unpow-prod-down_binary64`
5×	`rem-exp-log_binary64`
4×	`cos-sum_binary64` `difference-of-squares_binary64` `associate-r_binary64`
3×	`pow-unpow_binary64` `associate-l_binary64`
2×	`sub-neg_binary64` `distribute-rgt-neg-in_binary64` `neg-log_binary64` `associate-*r/_binary64`
1×	`cos-diff_binary64` `exp-diff_binary64` `associate--r-_binary64` `times-frac_binary64` `pow-pow_binary64` `pow-to-exp_binary64` `pow-exp_binary64` `unpow2_binary64` `sqr-pow_binary64` `pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64` `flip3-+_binary64` `flip-+_binary64` `distribute-lft-out_binary64` `*-commutative_binary64`

Counts

4 → 84

Calls

4 calls:

26.0ms	(exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n)))))
15.0ms	(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))
12.0ms	(pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)
6.0ms	(*.f64 K (+.f64 m n))

Compiler

Compiled 2831 to 1357 computations (52.1% saved)

series313.0ms (4.3%)

Error

1.3b

Counts

4 → 61

Calls

4 calls:

92.0ms	(pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)
87.0ms	(exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n)))))
48.0ms	(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))
27.0ms	(*.f64 K (+.f64 m n))

Compiler

Compiled 5358 to 3829 computations (28.5% saved)

simplify134.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

525×	`associate-l_binary64`
396×	`distribute-rgt-in_binary64`
357×	`distribute-lft-in_binary64`
290×	`exp-prod_binary64`
238×	`exp-sum_binary64`
214×	`sub-neg_binary64`
178×	`cancel-sign-sub-inv_binary64`
114×	`distribute-neg-in_binary64`
92×	`exp-diff_binary64`
91×	`+-commutative_binary64`
88×	`sqr-pow_binary64` `associate--l+_binary64`
76×	`*-commutative_binary64`
75×	`associate--r+_binary64`
70×	`associate-r_binary64`
64×	`associate-+l+_binary64`
62×	`log-prod_binary64`
57×	`associate-+r+_binary64`
54×	`neg-mul-1_binary64`
49×	`neg-sub0_binary64`
48×	`times-frac_binary64`
41×	`unsub-neg_binary64`
35×	`log-pow_binary64` `distribute-rgt-neg-in_binary64`
32×	`unswap-sqr_binary64` `associate-/r*_binary64`
28×	`distribute-lft-neg-in_binary64`
26×	`associate-*r/_binary64`
25×	`distribute-lft-neg-out_binary64` `associate-/l_binary64` `associate-l/_binary64`
23×	`pow-plus_binary64`
21×	`log-div_binary64`
19×	`distribute-lft-out_binary64`
18×	`distribute-rgt-neg-out_binary64`
15×	`unpow1/2_binary64` `distribute-rgt-out_binary64`
14×	`unpow2_binary64` `unpow1_binary64`
13×	`pow-sqr_binary64`
12×	`-rgt-identity_binary64` `-lft-identity_binary64`
11×	`unpow3_binary64` `cube-unmult_binary64` `swap-sqr_binary64` `associate-+r-_binary64`
10×	`cube-prod_binary64` `+-rgt-identity_binary64` `associate-/r/_binary64`
9×	`prod-exp_binary64`
8×	`distribute-neg-out_binary64` `distribute-rgt-out--_binary64`
7×	`log-rec_binary64`
6×	`distribute-lft-out--_binary64` `associate-/l/_binary64`
5×	`exp-neg_binary64`
4×	`rem-sqrt-square_binary64` `distribute-neg-frac_binary64`
3×	`cos-neg_binary64` `sin-neg_binary64` `exp-sqrt_binary64` `rem-log-exp_binary64` `rem-square-sqrt_binary64` `difference-of-squares_binary64` `associate-+l-_binary64`
2×	`cube-mult_binary64` `cube-div_binary64` `rem-3cbrt-lft_binary64` `div-sub_binary64` `sub0-neg_binary64` `distribute-rgt1-in_binary64` `associate--r-_binary64` `associate--l-_binary64`
1×	`rec-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-rft_binary64` `/-rgt-identity_binary64` `remove-double-neg_binary64` `cancel-sign-sub_binary64` `distribute-lft1-in_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` `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` `div-exp_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `mul-1-neg_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `distribute-frac-neg_binary64`

Counts

145 → 99

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	266	3282
1	640	2973
2	1705	2844
3	4719	2841
4	5119	2841

prune66.0ms (0.9%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	96	3	99
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	97	3	100

Error

1.2b

Counts

100 → 3

Compiler

Compiled 1790 to 865 computations (51.7% saved)

localize15.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b

(-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))

0.0b

(pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)

0.0b

(exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n)))))

rewrite154.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Error

1.2b

Rules

35×	`*-un-lft-identity_binary64`
24×	`add-log-exp_binary64`
22×	`add-sqr-sqrt_binary64`
15×	`distribute-lft-out--_binary64`
13×	`cancel-sign-sub-inv_binary64`
12×	`diff-log_binary64`
9×	`add-cube-cbrt_binary64`
8×	`exp-prod_binary64`
7×	`exp-sum_binary64`
6×	`difference-of-squares_binary64` `unpow-prod-down_binary64`
5×	`rem-exp-log_binary64`
4×	`pow1_binary64` `distribute-rgt-neg-in_binary64` `neg-log_binary64` `add-exp-log_binary64` `associate--r+_binary64`
3×	`sub-neg_binary64` `add-cbrt-cube_binary64` `pow-unpow_binary64`
2×	`associate--r-_binary64`
1×	`exp-diff_binary64` `times-frac_binary64` `pow-pow_binary64` `pow-to-exp_binary64` `pow-exp_binary64` `unpow2_binary64` `sqr-pow_binary64` `flip3--_binary64` `flip--_binary64` `neg-sub0_binary64` `associate--l-_binary64`

Counts

3 → 79

Calls

3 calls:

27.0ms

(exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n)))))

25.0ms

(-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))

11.0ms

(pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)

Compiler

Compiled 2088 to 974 computations (53.4% saved)

series382.0ms (5.2%)

Error

1.2b

Counts

3 → 73

Calls

3 calls:

161.0ms

(-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))

85.0ms

(pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)

85.0ms

(exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n)))))

Compiler

Compiled 4617 to 3444 computations (25.4% saved)

simplify151.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

366×	`distribute-rgt-in_binary64`
329×	`distribute-lft-in_binary64`
277×	`sub-neg_binary64`
265×	`cancel-sign-sub-inv_binary64`
232×	`exp-sum_binary64`
208×	`exp-prod_binary64`
132×	`distribute-neg-in_binary64`
106×	`associate--r+_binary64`
105×	`associate--l+_binary64`
104×	`+-commutative_binary64`
89×	`exp-diff_binary64`
83×	`sqr-pow_binary64`
77×	`associate-+l+_binary64`
69×	`unsub-neg_binary64`
66×	`distribute-rgt-neg-in_binary64`
63×	`neg-sub0_binary64` `associate-+r+_binary64`
61×	`neg-mul-1_binary64`
59×	`log-prod_binary64` `distribute-lft-neg-out_binary64`
56×	`times-frac_binary64`
55×	`distribute-lft-neg-in_binary64`
50×	`associate-*l/_binary64`
49×	`distribute-rgt-neg-out_binary64`
44×	`associate-*r/_binary64`
38×	`log-pow_binary64`
34×	`log-div_binary64` `associate-/r*_binary64`
32×	`unswap-sqr_binary64` `distribute-lft-out_binary64`
30×	`*-commutative_binary64`
29×	`associate-/l*_binary64`
24×	`associate-l_binary64` `associate-r_binary64`
20×	`distribute-rgt-out_binary64`
18×	`unpow3_binary64`
16×	`prod-exp_binary64` `cube-prod_binary64`
15×	`swap-sqr_binary64`
14×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `distribute-neg-out_binary64`
13×	`pow-sqr_binary64`
12×	`distribute-rgt-out--_binary64`
10×	`associate-/r/_binary64`
9×	`difference-of-squares_binary64`
8×	`pow-plus_binary64`
7×	`distribute-lft-out--_binary64` `associate-+l-_binary64`
6×	`log-rec_binary64` `rem-log-exp_binary64` `cube-unmult_binary64` `associate-/l/_binary64` `associate-+r-_binary64`
5×	`exp-neg_binary64`
4×	`cube-div_binary64` `rem-sqrt-square_binary64` `sub0-neg_binary64` `distribute-neg-frac_binary64`
3×	`exp-sqrt_binary64` `div-exp_binary64` `cube-neg_binary64` `+-rgt-identity_binary64`
2×	`exp-to-pow_binary64` `rec-exp_binary64` `cube-mult_binary64` `sqr-neg_binary64` `rem-square-sqrt_binary64` `div-sub_binary64` `mul-1-neg_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `remove-double-neg_binary64` `cancel-sign-sub_binary64` `distribute-rgt1-in_binary64` `associate--r-_binary64` `associate--l-_binary64`
1×	`1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `distribute-lft1-in_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` `pow-base-0_binary64` `unpow1/3_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-exp-log_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_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` `distribute-frac-neg_binary64`

Counts

152 → 129

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	206	4481
1	547	4077
2	1649	3817
3	4662	3817
4	4989	3817

prune90.0ms (1.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	128	1	129
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	128	4	132

Error

1.2b

Counts

132 → 4

Compiler

Compiled 1703 to 800 computations (53% saved)

localize25.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 K)
0.6b	(cbrt.f64 K)
0.6b	(cbrt.f64 K)
35.6b	(cos.f64 (-.f64 (/.f64 (.f64 (.f64 (cbrt.f64 K) (cbrt.f64 K)) (*.f64 (+.f64 m n) (cbrt.f64 K))) 2) M))

rewrite117.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

1.2b

Rules

9×	`cbrt-prod_binary64`
8×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
4×	`cos-sum_binary64` `pow1_binary64` `add-log-exp_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`cancel-sign-sub-inv_binary64` `pow1/3_binary64`
1×	`cos-diff_binary64` `sub-neg_binary64`

Counts

4 → 45

Calls

4 calls:

20.0ms	(cos.f64 (-.f64 (/.f64 (.f64 (.f64 (cbrt.f64 K) (cbrt.f64 K)) (*.f64 (+.f64 m n) (cbrt.f64 K))) 2) M))
1.0ms	(cbrt.f64 K)
1.0ms	(cbrt.f64 K)
1.0ms	(cbrt.f64 K)

Compiler

Compiled 1996 to 795 computations (60.2% saved)

series134.0ms (1.8%)

Error

1.2b

Counts

4 → 21

Calls

4 calls:

56.0ms	(cos.f64 (-.f64 (/.f64 (.f64 (.f64 (cbrt.f64 K) (cbrt.f64 K)) (*.f64 (+.f64 m n) (cbrt.f64 K))) 2) M))
21.0ms	(cbrt.f64 K)
20.0ms	(cbrt.f64 K)
19.0ms	(cbrt.f64 K)

Compiler

Compiled 1979 to 1454 computations (26.5% saved)

simplify103.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

451×	`cancel-sign-sub-inv_binary64`
405×	`*-commutative_binary64`
366×	`associate-/l/_binary64`
356×	`neg-mul-1_binary64`
305×	`distribute-rgt-neg-in_binary64`
292×	`distribute-rgt-out--_binary64`
285×	`log-prod_binary64`
268×	`associate-l_binary64`
248×	`distribute-rgt-out_binary64`
237×	`distribute-lft-neg-in_binary64`
221×	`associate-r_binary64`
214×	`distribute-lft-neg-out_binary64`
211×	`div-sub_binary64`
154×	`neg-sub0_binary64`
147×	`sub-neg_binary64`
141×	`distribute-rgt-in_binary64`
134×	`distribute-rgt-neg-out_binary64`
132×	`distribute-lft-in_binary64`
112×	`unswap-sqr_binary64`
103×	`unsub-neg_binary64`
99×	`distribute-neg-in_binary64`
97×	`associate-/l*_binary64`
92×	`distribute-lft-out_binary64`
90×	`distribute-neg-frac_binary64`
85×	`associate-/r*_binary64`
48×	`remove-double-neg_binary64`
42×	`exp-prod_binary64`
41×	`associate-/r/_binary64`
38×	`sqr-pow_binary64`
37×	`distribute-neg-out_binary64`
34×	`distribute-lft-out--_binary64`
27×	`associate--r+_binary64` `+-commutative_binary64`
26×	`associate-+l-_binary64`
25×	`cos-neg_binary64`
24×	`rem-sqrt-square_binary64`
22×	`log-pow_binary64`
21×	`cube-prod_binary64`
19×	`associate-*l/_binary64` `associate-+r+_binary64`
17×	`associate-+r-_binary64`
16×	`associate-+l+_binary64`
14×	`distribute-frac-neg_binary64`
12×	`sin-neg_binary64` `cube-unmult_binary64` `+-rgt-identity_binary64` `swap-sqr_binary64`
11×	`pow-plus_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `count-2_binary64` `associate--r-_binary64`
9×	`sub0-neg_binary64`
7×	`associate--l+_binary64`
6×	`unpow3_binary64` `sqr-neg_binary64` `pow-sqr_binary64` `associate-*r/_binary64`
5×	`mul-1-neg_binary64`
4×	`exp-diff_binary64`
3×	`exp-sum_binary64` `cube-mult_binary64` `--rgt-identity_binary64`
2×	`unpow1/3_binary64` `exp-neg_binary64` `cube-neg_binary64` `rem-3cbrt-lft_binary64` `*-lft-identity_binary64` `+-lft-identity_binary64`
1×	`unpow2_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `rem-square-sqrt_binary64` `times-frac_binary64` `/-rgt-identity_binary64` `div0_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` `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` `log-div_binary64` `pow-base-0_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` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-div_binary64` `rem-3cbrt-rft_binary64` `sqr-abs_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` `cancel-sign-sub_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64`

Counts

66 → 36

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	101	1029
1	180	719
2	405	719
3	1237	719
4	2916	719
5	4259	719
6	4945	719

prune26.0ms (0.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	36	0	36
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	36	4	40

Error

1.2b

Counts

40 → 4

Compiler

Compiled 702 to 354 computations (49.6% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(.f64 (cos.f64 M) (exp.f64 (neg.f64 (.f64 M M))))
0.0b	(exp.f64 (neg.f64 (*.f64 M M)))

rewrite45.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

1.2b

Rules

7×	`add-sqr-sqrt_binary64`
6×	`exp-prod_binary64`
5×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
4×	`pow1_binary64` `add-log-exp_binary64` `add-cbrt-cube_binary64`
3×	`exp-neg_binary64` `add-exp-log_binary64` `associate-l_binary64` `associate-r_binary64`
2×	`neg-sub0_binary64` `exp-diff_binary64` `rem-exp-log_binary64` `associate-*r/_binary64`
1×	`neg-mul-1_binary64` `distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64` `neg-log_binary64` `pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `un-div-inv_binary64` `unswap-sqr_binary64` `*-commutative_binary64`

Counts

2 → 38

Calls

2 calls:

6.0ms	(.f64 (cos.f64 M) (exp.f64 (neg.f64 (.f64 M M))))
2.0ms	(exp.f64 (neg.f64 (*.f64 M M)))

Compiler

Compiled 483 to 113 computations (76.6% saved)

series22.0ms (0.3%)

Error

1.2b

Counts

2 → 7

Calls

2 calls:

10.0ms	(.f64 (cos.f64 M) (exp.f64 (neg.f64 (.f64 M M))))
6.0ms	(exp.f64 (neg.f64 (*.f64 M M)))

Compiler

Compiled 117 to 160 computations (-36.8% saved)

simplify84.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

412×	`exp-prod_binary64`
338×	`exp-sum_binary64`
306×	`associate-l_binary64`
284×	`associate-r_binary64`
246×	`cancel-sign-sub-inv_binary64`
243×	`associate-/l*_binary64`
209×	`times-frac_binary64`
207×	`distribute-rgt-in_binary64`
172×	`distribute-lft-in_binary64`
123×	`associate--r+_binary64`
117×	`exp-diff_binary64` `sqr-pow_binary64`
104×	`log-prod_binary64`
98×	`associate-*l/_binary64`
92×	`exp-to-pow_binary64`
87×	`associate-/r*_binary64` `associate--l+_binary64`
82×	`distribute-rgt-neg-in_binary64`
76×	`log-pow_binary64`
70×	`distribute-lft-neg-in_binary64`
68×	`distribute-neg-in_binary64` `distribute-rgt-out_binary64`
67×	`associate-/l/_binary64`
66×	`sub-neg_binary64`
59×	`distribute-lft-out_binary64`
57×	`*-commutative_binary64`
55×	`distribute-rgt-out--_binary64`
54×	`associate-*r/_binary64`
52×	`distribute-rgt-neg-out_binary64`
45×	`pow-sqr_binary64`
40×	`unsub-neg_binary64`
38×	`log-div_binary64` `unswap-sqr_binary64` `distribute-lft-neg-out_binary64`
37×	`cube-prod_binary64`
34×	`associate--r-_binary64`
33×	`*-lft-identity_binary64` `distribute-lft-out--_binary64`
32×	`unpow3_binary64`
28×	`*-rgt-identity_binary64`
27×	`neg-sub0_binary64` `swap-sqr_binary64`
26×	`neg-mul-1_binary64` `associate--l-_binary64`
24×	`cube-div_binary64`
23×	`div-sub_binary64`
21×	`associate-/r/_binary64`
20×	`exp-neg_binary64`
19×	`associate-+l-_binary64`
18×	`count-2_binary64` `associate-+l+_binary64`
17×	`associate-+r+_binary64`
14×	`cube-unmult_binary64`
12×	`distribute-neg-out_binary64`
10×	`associate-+r-_binary64`
9×	`pow-plus_binary64` `sub0-neg_binary64` `distribute-frac-neg_binary64`
8×	`rem-sqrt-square_binary64`
7×	`remove-double-neg_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64`
6×	`log-rec_binary64` `div-exp_binary64` `prod-exp_binary64` `rem-log-exp_binary64` `+-commutative_binary64`
5×	`+-rgt-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `cancel-sign-sub_binary64`
4×	`unpow1/2_binary64`
3×	`exp-lft-sqr_binary64` `cube-mult_binary64`
2×	`exp-sqrt_binary64` `rem-exp-log_binary64` `/-rgt-identity_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64`
1×	`cos-neg_binary64` `unpow2_binary64` `unpow1_binary64` `rec-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `sqr-neg_binary64` `mul-1-neg_binary64` `distribute-neg-frac_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` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-cbrt_binary64` `e-exp-1_binary64` `exp-0_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` `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`

Counts

45 → 25

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	58	541
1	106	452
2	274	446
3	601	446
4	2525	446
5	4207	446
6	4984	446

prune16.0ms (0.2%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	25	0	25
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	25	4	29

Error

1.2b

Counts

29 → 4

Compiler

Compiled 194 to 56 computations (71.1% saved)

regimes1.2s (16.7%)

Accuracy

Total 0.2b remaining (18.3%)

Threshold costs 0.2b (18.3%)

Compiler

Compiled 18963 to 15177 computations (20% saved)

bsearch0.0ms (0%)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

13×	`+-commutative_binary64`
12×	`sub-neg_binary64`
8×	`neg-mul-1_binary64` `neg-sub0_binary64` `*-commutative_binary64`
6×	`cancel-sign-sub-inv_binary64`
4×	`distribute-neg-in_binary64`
3×	`unsub-neg_binary64` `distribute-rgt-neg-in_binary64`
2×	`distribute-neg-out_binary64` `distribute-lft-neg-out_binary64` `distribute-lft-neg-in_binary64`
1×	`1-exp_binary64` `remove-double-neg_binary64` `distribute-rgt-neg-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` `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` `mul-1-neg_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	18	33
1	32	33
2	51	33
3	73	31
4	89	31
5	93	31
6	89	31

end1.0ms (0%)

Compiler: Compiled 20 to 18 computations (10% saved)

sample1.6s (21.9%)

Algorithm

1×

intervals

Results

803.0ms	7834×	body	128	valid
40.0ms	76×	body	1024	valid
38.0ms	94×	body	1024	invalid
32.0ms	88×	body	512	invalid
31.0ms	306×	body	128	invalid
16.0ms	50×	body	512	valid
13.0ms	39×	body	256	valid
12.0ms	59×	body	256	invalid
10.0ms	18×	body	2048	invalid
1.0ms	1×	body	2048	valid

Compiler

Compiled 151 to 145 computations (4% saved)

Details

analyze2.3s (31%)

sample44.0ms (0.6%)

simplify52.0ms (0.7%)

prune5.0ms (0.1%)

localize19.0ms (0.3%)

rewrite227.0ms (3.1%)

series313.0ms (4.3%)

simplify134.0ms (1.8%)

prune66.0ms (0.9%)

localize15.0ms (0.2%)

rewrite154.0ms (2.1%)

series382.0ms (5.2%)

simplify151.0ms (2.1%)

prune90.0ms (1.2%)

localize25.0ms (0.3%)

rewrite117.0ms (1.6%)

series134.0ms (1.8%)

simplify103.0ms (1.4%)

prune26.0ms (0.4%)

localize6.0ms (0.1%)

rewrite45.0ms (0.6%)

series22.0ms (0.3%)

simplify84.0ms (1.1%)

prune16.0ms (0.2%)

regimes1.2s (16.7%)

bsearch0.0ms (0%)

simplify5.0ms (0.1%)

end1.0ms (0%)

sample1.6s (21.9%)

Profiling