Details

analyze414.0ms (9%)

Algorithm

1×	search
2×	egg-herbie

Rules

642×	`div-sub_binary64`
482×	`associate-*l/_binary64`
396×	`associate-/r*_binary64`
392×	`cancel-sign-sub-inv_binary64`
336×	`associate-/r/_binary64`
326×	`associate-*r/_binary64`
296×	`associate-/l/_binary64`
234×	`neg-mul-1_binary64`
184×	`distribute-rgt-in_binary64`
178×	`sub-neg_binary64`
160×	`associate-/l*_binary64`
134×	`neg-sub0_binary64` `distribute-neg-frac_binary64`
122×	`distribute-lft-in_binary64`
114×	`times-frac_binary64`
104×	`distribute-rgt-neg-in_binary64`
96×	`associate-r_binary64`
90×	`distribute-lft-neg-in_binary64` `associate-l_binary64`
82×	`*-commutative_binary64`
80×	`unsub-neg_binary64`
58×	`distribute-rgt-neg-out_binary64`
56×	`distribute-frac-neg_binary64`
54×	`distribute-lft-neg-out_binary64`
44×	`div0_binary64`
42×	`*-lft-identity_binary64`
32×	`sqr-pow_binary64`
26×	`mul0-rgt_binary64`
24×	`+-commutative_binary64`
22×	`*-rgt-identity_binary64` `mul0-lft_binary64`
20×	`unswap-sqr_binary64`
16×	`pow-sqr_binary64`
12×	`sub0-neg_binary64` `distribute-neg-in_binary64` `associate-+l-_binary64`
10×	`+-rgt-identity_binary64` `distribute-rgt-out--_binary64`
8×	`/-rgt-identity_binary64`
6×	`exp-diff_binary64` `exp-sum_binary64` `cube-unmult_binary64` `mul-1-neg_binary64` `associate--r+_binary64` `associate-+r-_binary64`
4×	`unpow3_binary64` `exp-prod_binary64` `cube-prod_binary64` `--rgt-identity_binary64` `associate-+l+_binary64`
2×	`sinh-def_binary64` `pow-plus_binary64` `exp-neg_binary64` `remove-double-neg_binary64` `associate-+r+_binary64`
1×	`1-exp_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `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` `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` `div-exp_binary64` `rec-exp_binary64` `prod-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-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` `+-lft-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` `swap-sqr_binary64` `cancel-sign-sub_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `count-2_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--l+_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	22
1	28	22
2	61	22
3	136	22
4	300	22
5	665	22
6	1827	22
7	3936	22
8	4736	22
9	4854	22
0	2	2
1	2	2

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
37.5%	50%	12.6%	7
37.5%	50%	12.6%	8
43.7%	37.5%	18.8%	9
43.7%	37.5%	18.8%	10
46.8%	31.2%	22%	11
46.8%	31.2%	22%	12
48.4%	28.1%	23.5%	13
48.4%	28.1%	23.5%	14

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample62.0ms (1.3%)

Algorithm

1×

intervals

Results

15.0ms	71×	body	1024	valid
12.0ms	67×	body	1024	invalid
6.0ms	138×	body	128	valid
5.0ms	34×	body	512	invalid
5.0ms	31×	body	512	valid
1.0ms	16×	body	256	valid
1.0ms	24×	body	128	invalid
1.0ms	13×	body	256	invalid

Compiler

Compiled 15 to 15 computations (0% saved)

simplify64.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

624×	`div-sub_binary64`
491×	`times-frac_binary64`
410×	`associate-/l*_binary64`
354×	`cancel-sign-sub-inv_binary64`
341×	`unsub-neg_binary64`
307×	`associate-l_binary64`
301×	`associate-r_binary64`
249×	`distribute-rgt-in_binary64`
236×	`neg-mul-1_binary64`
212×	`associate-*l/_binary64`
210×	`neg-sub0_binary64`
196×	`distribute-rgt-neg-in_binary64`
184×	`distribute-lft-in_binary64`
181×	`distribute-neg-frac_binary64`
177×	`associate-/r*_binary64`
158×	`distribute-lft-neg-in_binary64`
151×	`associate-/r/_binary64`
145×	`associate-/l/_binary64`
144×	`associate-*r/_binary64`
120×	`distribute-lft-neg-out_binary64`
116×	`distribute-rgt-neg-out_binary64`
100×	`sub-neg_binary64`
99×	`*-commutative_binary64`
68×	`distribute-frac-neg_binary64`
40×	`distribute-neg-in_binary64`
34×	`*-lft-identity_binary64`
27×	`*-rgt-identity_binary64`
22×	`div0_binary64` `+-commutative_binary64`
16×	`associate--r+_binary64`
15×	`/-rgt-identity_binary64`
14×	`sqr-pow_binary64` `unswap-sqr_binary64`
13×	`mul0-rgt_binary64`
12×	`exp-prod_binary64` `associate-+l-_binary64`
11×	`mul0-lft_binary64` `associate--l-_binary64`
9×	`distribute-rgt-out--_binary64`
8×	`sub0-neg_binary64`
7×	`pow-sqr_binary64` `associate-+r-_binary64`
6×	`exp-diff_binary64` `exp-sum_binary64` `associate-+l+_binary64`
5×	`cube-unmult_binary64` `cube-prod_binary64`
4×	`exp-lft-sqr_binary64` `+-rgt-identity_binary64` `associate--l+_binary64` `associate-+r+_binary64`
3×	`exp-sqrt_binary64` `mul-1-neg_binary64` `--rgt-identity_binary64`
2×	`unpow3_binary64` `pow-plus_binary64` `+-lft-identity_binary64` `distribute-lft-out_binary64` `associate--r-_binary64`
1×	`sinh-def_binary64` `prod-exp_binary64` `exp-neg_binary64` `1-exp_binary64` `remove-double-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` `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` `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` `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-cbrt_binary64` `div-exp_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-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` `*-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` `swap-sqr_binary64` `cancel-sign-sub_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out_binary64` `distribute-lft-out--_binary64` `count-2_binary64`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	16	11
2	34	11
3	73	11
4	157	11
5	344	11
6	932	11
7	2927	11
8	4087	11
9	5030	11

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.0b

Counts

1 → 1

Compiler

Compiled 7 to 6 computations (14.3% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(cos.f64 x)
0.0b	(/.f64 (sinh.f64 y) y)
0.0b	(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))

rewrite84.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

24×	`add-sqr-sqrt_binary64`
19×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64` `times-frac_binary64`
13×	`associate-r_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`pow1_binary64`
3×	`add-log-exp_binary64` `associate-l_binary64` `associate-/l_binary64` `associate-/r_binary64`
2×	`div-exp_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `div-inv_binary64`
1×	`pow-prod-down_binary64` `associate-r/_binary64` `-commutative_binary64` `frac-2neg_binary64` `clear-num_binary64` `sinh-def_binary64` `associate-/l/_binary64`

Counts

3 → 67

Calls

3 calls:

7.0ms	(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
3.0ms	(/.f64 (sinh.f64 y) y)
1.0ms	(cos.f64 x)

Compiler

Compiled 902 to 218 computations (75.8% saved)

series86.0ms (1.9%)

Error

0.0b

Counts

3 → 21

Calls

3 calls:

43.0ms	(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
18.0ms	(/.f64 (sinh.f64 y) y)
7.0ms	(cos.f64 x)

Compiler

Compiled 794 to 587 computations (26.1% saved)

simplify104.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

439×	`associate-l_binary64`
339×	`associate-r_binary64`
308×	`associate-/l*_binary64`
277×	`associate-*r/_binary64`
275×	`div-sub_binary64`
270×	`times-frac_binary64`
257×	`associate-*l/_binary64`
181×	`*-commutative_binary64`
158×	`associate-/r*_binary64`
141×	`sub-neg_binary64`
137×	`log-prod_binary64`
125×	`associate-/l/_binary64`
120×	`log-div_binary64`
102×	`associate-/r/_binary64`
97×	`exp-prod_binary64`
90×	`unswap-sqr_binary64`
69×	`+-commutative_binary64`
67×	`cancel-sign-sub-inv_binary64`
58×	`unpow3_binary64`
55×	`exp-diff_binary64` `associate-+l+_binary64`
52×	`*-rgt-identity_binary64`
51×	`*-lft-identity_binary64`
50×	`distribute-rgt-neg-in_binary64`
49×	`neg-sub0_binary64` `sqr-pow_binary64`
48×	`cube-prod_binary64`
43×	`cube-div_binary64` `neg-mul-1_binary64`
39×	`distribute-lft-neg-in_binary64`
38×	`associate-+r+_binary64`
32×	`distribute-neg-frac_binary64`
30×	`distribute-rgt-in_binary64`
25×	`/-rgt-identity_binary64` `distribute-lft-in_binary64`
22×	`associate-+l-_binary64`
17×	`associate-+r-_binary64`
15×	`distribute-rgt-out_binary64`
13×	`log-rec_binary64`
12×	`unsub-neg_binary64` `+-rgt-identity_binary64`
11×	`distribute-rgt-out--_binary64`
10×	`distribute-neg-in_binary64` `associate--l+_binary64` `associate--r+_binary64`
9×	`pow-plus_binary64` `cube-unmult_binary64` `mul-1-neg_binary64` `distribute-lft-neg-out_binary64`
7×	`exp-sum_binary64` `sub0-neg_binary64` `pow-sqr_binary64`
6×	`swap-sqr_binary64` `distribute-lft-out--_binary64` `associate--l-_binary64`
4×	`unpow1/2_binary64` `cube-mult_binary64`
3×	`log-pow_binary64` `exp-sqrt_binary64` `remove-double-neg_binary64` `remove-double-div_binary64` `distribute-lft-out_binary64` `associate--r-_binary64`
2×	`unpow2_binary64` `unpow1_binary64` `rem-sqrt-square_binary64` `distribute-rgt1-in_binary64`
1×	`sinh-def_binary64` `exp-neg_binary64` `1-exp_binary64` `exp-1-e_binary64` `cube-neg_binary64` `sqr-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` `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` `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` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `rem-square-sqrt_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-lft1-in_binary64` `count-2_binary64`

Counts

88 → 39

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	166	1337
1	398	1229
2	1198	1153
3	3644	1153
4	4616	1153
5	4987	1153

prune24.0ms (0.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	37	2	39
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	37	3	40

Error

0.0b

Counts

40 → 3

Compiler

Compiled 413 to 187 computations (54.7% saved)

localize18.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 1/5040 (pow.f64 y 6))
0.1b	(.f64 (cos.f64 x) (+.f64 (.f64 1/120 (pow.f64 y 4)) (*.f64 1/5040 (pow.f64 y 6))))
0.1b	(*.f64 1/120 (pow.f64 y 4))
0.2b	(.f64 1/6 (.f64 y y))

rewrite155.0ms (3.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

26×	`add-sqr-sqrt_binary64`
21×	`add-exp-log_binary64`
18×	`associate-r_binary64`
15×	`add-cbrt-cube_binary64`
13×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
12×	`associate-l_binary64`
11×	`pow1_binary64`
10×	`prod-exp_binary64`
8×	`unswap-sqr_binary64` `unpow-prod-down_binary64`
6×	`cbrt-unprod_binary64`
4×	`pow-prod-down_binary64` `add-log-exp_binary64` `*-commutative_binary64` `sqr-pow_binary64`
2×	`pow-to-exp_binary64` `pow-exp_binary64` `associate-*r/_binary64`
1×	`distribute-rgt-in_binary64` `distribute-lft-in_binary64` `flip3-+_binary64` `flip-+_binary64`

Counts

4 → 91

Calls

4 calls:

8.0ms	(.f64 (cos.f64 x) (+.f64 (.f64 1/120 (pow.f64 y 4)) (*.f64 1/5040 (pow.f64 y 6))))
6.0ms	(.f64 1/6 (.f64 y y))
6.0ms	(*.f64 1/5040 (pow.f64 y 6))
5.0ms	(*.f64 1/120 (pow.f64 y 4))

Compiler

Compiled 2715 to 1844 computations (32.1% saved)

series94.0ms (2%)

Error

0.0b

Counts

4 → 18

Calls

4 calls:

52.0ms	(.f64 (cos.f64 x) (+.f64 (.f64 1/120 (pow.f64 y 4)) (*.f64 1/5040 (pow.f64 y 6))))
11.0ms	(*.f64 1/5040 (pow.f64 y 6))
10.0ms	(*.f64 1/120 (pow.f64 y 4))
9.0ms	(.f64 1/6 (.f64 y y))

Compiler

Compiled 977 to 763 computations (21.9% saved)

simplify114.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

708×	`unswap-sqr_binary64`
549×	`*-commutative_binary64`
297×	`log-prod_binary64`
255×	`distribute-rgt-in_binary64` `distribute-lft-in_binary64`
231×	`associate-l_binary64`
230×	`associate-r_binary64`
220×	`exp-prod_binary64`
160×	`sqr-pow_binary64`
123×	`swap-sqr_binary64` `cancel-sign-sub-inv_binary64`
122×	`cube-prod_binary64`
53×	`distribute-rgt-neg-in_binary64` `distribute-rgt-out_binary64`
50×	`distribute-lft-neg-in_binary64`
36×	`log-pow_binary64`
35×	`neg-mul-1_binary64` `neg-sub0_binary64`
30×	`*-lft-identity_binary64`
29×	`*-rgt-identity_binary64`
25×	`pow-sqr_binary64`
22×	`unpow3_binary64` `associate-+l+_binary64` `associate-+r+_binary64`
20×	`cube-mult_binary64` `sub-neg_binary64`
16×	`pow-plus_binary64`
14×	`+-commutative_binary64`
13×	`associate-/l*_binary64`
11×	`rem-sqrt-square_binary64`
10×	`cube-unmult_binary64`
9×	`distribute-rgt-out--_binary64`
8×	`distribute-lft-out_binary64`
4×	`unpow1/2_binary64` `exp-sum_binary64` `distribute-lft-neg-out_binary64`
3×	`unpow2_binary64` `unpow1_binary64` `distribute-lft-out--_binary64`
2×	`+-rgt-identity_binary64` `difference-of-squares_binary64` `count-2_binary64` `associate-+r-_binary64`
1×	`1-exp_binary64` `exp-1-e_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `rem-square-sqrt_binary64` `unsub-neg_binary64` `sub0-neg_binary64` `distribute-rgt-neg-out_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` `log-div_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` `e-exp-1_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` `sqr-abs_binary64` `sqr-neg_binary64` `times-frac_binary64` `div-sub_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `remove-double-neg_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-neg-in_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `associate-/r_binary64` `associate-l/_binary64` `associate-r/_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--l+_binary64` `associate--r+_binary64`

Counts

109 → 63

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	174	1552
1	377	1439
2	1257	1389
3	2624	1389
4	4892	1389
5	5119	1389

prune55.0ms (1.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	63	0	63
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	63	3	66

Error

0.0b

Counts

66 → 3

Compiler

Compiled 1146 to 772 computations (32.6% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(cos.f64 x)
0.1b	(/.f64 (cos.f64 x) (sqrt.f64 y))
0.2b	(*.f64 (/.f64 (cos.f64 x) (sqrt.f64 y)) (/.f64 (sinh.f64 y) (sqrt.f64 y)))
0.2b	(/.f64 (sinh.f64 y) (sqrt.f64 y))

rewrite121.0ms (2.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

90×	`add-sqr-sqrt_binary64`
84×	`times-frac_binary64`
60×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
48×	`sqrt-prod_binary64`
22×	`associate-l_binary64` `associate-r_binary64`
20×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
12×	`associate-/r*_binary64`
9×	`unswap-sqr_binary64`
6×	`pow1_binary64` `div-exp_binary64` `cbrt-undiv_binary64` `associate-/l*_binary64`
4×	`add-log-exp_binary64` `div-inv_binary64` `prod-exp_binary64` `cbrt-unprod_binary64`
2×	`frac-2neg_binary64` `clear-num_binary64`
1×	`sinh-def_binary64` `associate-/l/_binary64` `pow-prod-down_binary64` `frac-times_binary64` `associate-l/_binary64` `associate-r/_binary64` `*-commutative_binary64`

Counts

4 → 159

Calls

4 calls:

19.0ms	(*.f64 (/.f64 (cos.f64 x) (sqrt.f64 y)) (/.f64 (sinh.f64 y) (sqrt.f64 y)))
4.0ms	(/.f64 (sinh.f64 y) (sqrt.f64 y))
4.0ms	(/.f64 (cos.f64 x) (sqrt.f64 y))
1.0ms	(cos.f64 x)

Compiler

Compiled 2703 to 494 computations (81.7% saved)

series93.0ms (2%)

Error

0.0b

Counts

4 → 26

Calls

4 calls:

38.0ms	(*.f64 (/.f64 (cos.f64 x) (sqrt.f64 y)) (/.f64 (sinh.f64 y) (sqrt.f64 y)))
25.0ms	(/.f64 (cos.f64 x) (sqrt.f64 y))
12.0ms	(/.f64 (sinh.f64 y) (sqrt.f64 y))
7.0ms	(cos.f64 x)

Compiler

Compiled 1117 to 813 computations (27.2% saved)

simplify151.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

488×	`associate-/l/_binary64`
397×	`*-commutative_binary64`
386×	`times-frac_binary64`
349×	`div-sub_binary64`
277×	`associate-/r*_binary64`
249×	`associate-/r/_binary64`
186×	`associate-*r/_binary64`
175×	`associate-*l/_binary64`
157×	`associate-/l*_binary64`
113×	`associate-l_binary64`
107×	`associate-r_binary64`
99×	`cancel-sign-sub-inv_binary64`
57×	`+-commutative_binary64`
54×	`log-prod_binary64` `distribute-rgt-in_binary64`
53×	`log-div_binary64` `sub-neg_binary64`
51×	`distribute-rgt-neg-in_binary64`
48×	`distribute-lft-in_binary64`
46×	`cube-div_binary64` `cube-prod_binary64` `distribute-lft-neg-in_binary64`
38×	`associate-+l+_binary64`
37×	`associate-+r+_binary64`
36×	`distribute-neg-frac_binary64`
35×	`exp-prod_binary64`
34×	`associate-+l-_binary64`
29×	`sqr-pow_binary64`
28×	`neg-mul-1_binary64` `neg-sub0_binary64`
26×	`*-rgt-identity_binary64`
25×	`associate-+r-_binary64`
22×	`*-lft-identity_binary64`
16×	`distribute-rgt-out_binary64`
15×	`unswap-sqr_binary64` `distribute-rgt-out--_binary64`
14×	`associate--r+_binary64`
13×	`/-rgt-identity_binary64` `associate--l+_binary64`
11×	`unpow3_binary64` `exp-sum_binary64` `swap-sqr_binary64`
10×	`cube-mult_binary64` `distribute-lft-out_binary64` `associate--l-_binary64`
9×	`cube-unmult_binary64`
8×	`distribute-neg-in_binary64`
7×	`distribute-lft-neg-out_binary64`
6×	`exp-diff_binary64` `distribute-lft-out--_binary64` `associate--r-_binary64`
5×	`rem-sqrt-square_binary64`
4×	`unpow1/2_binary64` `pow-plus_binary64` `exp-sqrt_binary64` `unsub-neg_binary64` `distribute-rgt1-in_binary64`
3×	`unpow2_binary64` `unpow1_binary64` `pow-sqr_binary64`
2×	`log-pow_binary64` `rem-square-sqrt_binary64` `distribute-rgt-neg-out_binary64`
1×	`sinh-def_binary64` `log-rec_binary64` `exp-neg_binary64` `1-exp_binary64` `exp-1-e_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` `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` `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-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `mul-1-neg_binary64` `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-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-lft1-in_binary64` `count-2_binary64`

Counts

185 → 119

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	247	3710
1	625	3293
2	1892	3228
3	4222	3156
4	5207	3156

prune54.0ms (1.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	117	2	119
Fresh	0	0	0
Picked	1	0	1
Done	0	2	2
Total	118	4	122

Error

Counts

122 → 4

Compiler

Compiled 1478 to 357 computations (75.8% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (cos.f64 x) (/.f64 (sqrt.f64 (sinh.f64 y)) (sqrt.f64 y)))
0.0b	(/.f64 (sqrt.f64 (sinh.f64 y)) (sqrt.f64 y))
0.0b	(/.f64 (sqrt.f64 (sinh.f64 y)) (sqrt.f64 y))
0.0b	(cos.f64 x)

rewrite149.0ms (3.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

124×	`sqrt-prod_binary64`
112×	`times-frac_binary64`
100×	`add-sqr-sqrt_binary64`
86×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
40×	`associate-r_binary64`
13×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
12×	`associate-/l_binary64` `associate-/r_binary64`
6×	`pow1_binary64`
5×	`unswap-sqr_binary64`
4×	`add-log-exp_binary64`
3×	`div-exp_binary64` `cbrt-undiv_binary64` `div-inv_binary64` `associate-l_binary64`
2×	`sqrt-undiv_binary64` `frac-2neg_binary64` `clear-num_binary64` `sinh-def_binary64` `sqrt-div_binary64` `associate-/l/_binary64` `prod-exp_binary64` `cbrt-unprod_binary64`
1×	`pow-prod-down_binary64` `associate-r/_binary64` `-commutative_binary64`

Counts

4 → 193

Calls

4 calls:

14.0ms	(*.f64 (cos.f64 x) (/.f64 (sqrt.f64 (sinh.f64 y)) (sqrt.f64 y)))
5.0ms	(/.f64 (sqrt.f64 (sinh.f64 y)) (sqrt.f64 y))
5.0ms	(/.f64 (sqrt.f64 (sinh.f64 y)) (sqrt.f64 y))
1.0ms	(cos.f64 x)

Compiler

Compiled 3757 to 629 computations (83.3% saved)

series109.0ms (2.4%)

Error

Counts

4 → 26

Calls

4 calls:

46.0ms	(*.f64 (cos.f64 x) (/.f64 (sqrt.f64 (sinh.f64 y)) (sqrt.f64 y)))
19.0ms	(/.f64 (sqrt.f64 (sinh.f64 y)) (sqrt.f64 y))
19.0ms	(/.f64 (sqrt.f64 (sinh.f64 y)) (sqrt.f64 y))
10.0ms	(cos.f64 x)

Compiler

Compiled 1431 to 972 computations (32.1% saved)

simplify200.0ms (4.4%)

Algorithm

1×	egg-herbie

Rules

367×	`div-sub_binary64`
360×	`associate-/l*_binary64`
286×	`sub-neg_binary64`
262×	`associate-*r/_binary64`
248×	`*-commutative_binary64`
238×	`associate-*l/_binary64`
193×	`times-frac_binary64`
136×	`associate-/l/_binary64`
128×	`associate-l_binary64`
124×	`cancel-sign-sub-inv_binary64`
122×	`associate-r_binary64`
118×	`associate-/r*_binary64`
110×	`neg-mul-1_binary64`
103×	`neg-sub0_binary64`
92×	`associate-+l+_binary64`
83×	`associate-/r/_binary64`
77×	`distribute-rgt-neg-in_binary64`
75×	`+-commutative_binary64`
74×	`distribute-neg-frac_binary64`
69×	`distribute-rgt-in_binary64`
67×	`unsub-neg_binary64` `distribute-lft-neg-in_binary64`
64×	`distribute-lft-in_binary64`
60×	`*-rgt-identity_binary64`
59×	`*-lft-identity_binary64`
52×	`associate-+r+_binary64`
50×	`sqr-pow_binary64`
46×	`associate-+l-_binary64`
43×	`unswap-sqr_binary64`
37×	`distribute-rgt-out--_binary64`
35×	`/-rgt-identity_binary64`
32×	`log-div_binary64`
30×	`distribute-rgt-out_binary64`
29×	`exp-prod_binary64`
28×	`log-prod_binary64` `cube-prod_binary64`
26×	`cube-div_binary64`
23×	`associate--l-_binary64` `associate--l+_binary64`
21×	`associate-+r-_binary64`
19×	`associate--r+_binary64`
13×	`unpow3_binary64` `swap-sqr_binary64`
11×	`distribute-lft-neg-out_binary64`
10×	`cube-unmult_binary64` `cube-mult_binary64` `pow-sqr_binary64` `distribute-lft-out--_binary64`
8×	`rem-sqrt-square_binary64` `distribute-lft-out_binary64`
7×	`log-rec_binary64` `+-rgt-identity_binary64`
6×	`sub0-neg_binary64` `distribute-rgt-neg-out_binary64`
5×	`pow-plus_binary64` `exp-sum_binary64` `distribute-neg-in_binary64` `associate--r-_binary64`
4×	`unpow1/2_binary64` `difference-of-squares_binary64`
3×	`log-pow_binary64` `unpow2_binary64` `exp-diff_binary64` `remove-double-div_binary64` `distribute-rgt1-in_binary64`
2×	`unpow1_binary64` `rem-square-sqrt_binary64`
1×	`sinh-def_binary64` `exp-neg_binary64` `1-exp_binary64` `exp-1-e_binary64` `mul0-rgt_binary64` `mul0-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` `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` `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-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `mul-1-neg_binary64` `remove-double-neg_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `div0_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64`

Counts

219 → 114

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	191	4223
1	415	4033
2	1248	4016
3	2980	4009
4	4051	4009
5	5039	4009

prune37.0ms (0.8%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	114	0	114
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	114	4	118

Error

Counts

118 → 4

Compiler

Compiled 1308 to 264 computations (79.8% saved)

regimes482.0ms (10.5%)

Accuracy

Total 0.0b remaining (65.3%)

Threshold costs 0.0b (65.3%)

Compiler

Compiled 5768 to 4102 computations (28.9% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2× *-commutative_binary64

0× not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 unpow1_binary64 e-exp-1_binary64 1-exp_binary64 exp-1-e_binary64 exp-0_binary64 sqr-abs_binary64 sqr-neg_binary64 neg-mul-1_binary64 neg-sub0_binary64 unsub-neg_binary64 sub-neg_binary64 mul-1-neg_binary64 /-rgt-identity_binary64 *-rgt-identity_binary64 *-lft-identity_binary64 remove-double-neg_binary64 sub0-neg_binary64 --rgt-identity_binary64 +-rgt-identity_binary64 +-lft-identity_binary64 cancel-sign-sub-inv_binary64 cancel-sign-sub_binary64 distribute-neg-frac_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64 distribute-neg-in_binary64 distribute-rgt-neg-out_binary64 distribute-lft-neg-out_binary64 distribute-rgt-neg-in_binary64 distribute-lft-neg-in_binary64 +-commutative_binary64

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	11	23
2	11	23

end2.0ms (0.1%)

Compiler: Compiled 14 to 8 computations (42.9% saved)

sample1.9s (41.3%)

Algorithm

1×

intervals

Results

397.0ms	2006×	body	1024	valid
356.0ms	1911×	body	1024	invalid
202.0ms	4506×	body	128	valid
148.0ms	1081×	body	512	invalid
125.0ms	981×	body	512	valid
49.0ms	500×	body	256	valid
44.0ms	496×	body	256	invalid
41.0ms	714×	body	128	invalid
3.0ms	7×	body	2048	valid

Compiler

Compiled 91 to 73 computations (19.8% saved)

Details

analyze414.0ms (9%)

sample62.0ms (1.3%)

simplify64.0ms (1.4%)

prune1.0ms (0%)

localize6.0ms (0.1%)

rewrite84.0ms (1.8%)

series86.0ms (1.9%)

simplify104.0ms (2.3%)

prune24.0ms (0.5%)

localize18.0ms (0.4%)

rewrite155.0ms (3.4%)

series94.0ms (2%)

simplify114.0ms (2.5%)

prune55.0ms (1.2%)

localize11.0ms (0.2%)

rewrite121.0ms (2.6%)

series93.0ms (2%)

simplify151.0ms (3.3%)

prune54.0ms (1.2%)

localize9.0ms (0.2%)

rewrite149.0ms (3.2%)

series109.0ms (2.4%)

simplify200.0ms (4.4%)

prune37.0ms (0.8%)

regimes482.0ms (10.5%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end2.0ms (0.1%)

sample1.9s (41.3%)

Profiling