Details

analyze121.0ms (5.4%)

Algorithm

1×	search
2×	egg-herbie

Rules

640×	`associate-/l*_binary64`
583×	`associate-/r*_binary64`
496×	`distribute-neg-frac_binary64`
486×	`neg-mul-1_binary64`
423×	`neg-sub0_binary64`
348×	`distribute-frac-neg_binary64`
323×	`sub-neg_binary64`
298×	`distribute-rgt-in_binary64`
239×	`div-sub_binary64`
216×	`cancel-sign-sub-inv_binary64`
214×	`distribute-lft-in_binary64`
213×	`unsub-neg_binary64`
172×	`associate-/r/_binary64`
169×	`distribute-rgt-neg-in_binary64`
146×	`distribute-neg-in_binary64`
139×	`distribute-lft-neg-in_binary64`
128×	`distribute-lft-neg-out_binary64`
120×	`cancel-sign-sub_binary64` `distribute-rgt-neg-out_binary64`
104×	`*-commutative_binary64`
98×	`+-commutative_binary64`
96×	`associate--r+_binary64`
93×	`associate-l_binary64`
92×	`distribute-rgt-out--_binary64`
80×	`distribute-rgt-out_binary64`
73×	`associate-+l-_binary64`
70×	`distribute-neg-out_binary64`
61×	`associate--r-_binary64`
50×	`associate--l-_binary64`
49×	`associate-r_binary64`
45×	`associate-/l/_binary64`
39×	`associate-+r-_binary64`
36×	`associate-*l/_binary64`
30×	`associate-*r/_binary64`
29×	`associate-+l+_binary64`
27×	`remove-double-neg_binary64`
26×	`associate--l+_binary64`
25×	`*-rgt-identity_binary64`
23×	`associate-+r+_binary64`
22×	`*-lft-identity_binary64`
19×	`sub0-neg_binary64` `mul0-lft_binary64`
17×	`/-rgt-identity_binary64` `mul0-rgt_binary64`
15×	`+-lft-identity_binary64`
14×	`--rgt-identity_binary64` `distribute-rgt1-in_binary64`
11×	`distribute-lft-out--_binary64`
8×	`div0_binary64`
6×	`remove-double-div_binary64` `distribute-lft-out_binary64`
5×	`+-rgt-identity_binary64`
3×	`sqr-neg_binary64`
2×	`*-inverses_binary64` `swap-sqr_binary64`
1×	`1-exp_binary64` `distribute-lft1-in_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` `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-unmult_binary64` `cube-mult_binary64` `cube-div_binary64` `cube-prod_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `times-frac_binary64` `mul-1-neg_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `pow-sqr_binary64` `sqr-pow_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `unswap-sqr_binary64` `count-2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	28
1	34	28
2	51	28
3	73	28
4	99	28
5	133	28
6	193	28
7	341	28
8	623	28
9	1044	28
10	1622	28
11	1784	28
12	3307	28
13	4251	28
14	4988	28
15	4600	28
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
50%	50%	0%	2
50%	50%	0%	3
75%	25%	0%	4
87.5%	12.5%	0%	5
93.7%	6.2%	0%	6
96.8%	3.1%	0%	7
98.4%	1.6%	0%	8
99.2%	0.8%	0%	9
99.6%	0.4%	0%	10
99.8%	0.2%	0%	11
99.9%	0.1%	0%	12
99.9%	0%	0%	13
99.9%	0%	0%	14

Compiler

Compiled 20 to 17 computations (15% saved)

sample19.0ms (0.9%)

Algorithm

1×

intervals

Results

12.0ms

256×

body

128

valid

Compiler

Compiled 39 to 34 computations (12.8% saved)

simplify102.0ms (4.6%)

Algorithm

1×	egg-herbie

Rules

640×	`associate-/l*_binary64`
583×	`associate-/r*_binary64`
496×	`distribute-neg-frac_binary64`
486×	`neg-mul-1_binary64`
423×	`neg-sub0_binary64`
348×	`distribute-frac-neg_binary64`
323×	`sub-neg_binary64`
298×	`distribute-rgt-in_binary64`
239×	`div-sub_binary64`
216×	`cancel-sign-sub-inv_binary64`
214×	`distribute-lft-in_binary64`
213×	`unsub-neg_binary64`
172×	`associate-/r/_binary64`
169×	`distribute-rgt-neg-in_binary64`
146×	`distribute-neg-in_binary64`
139×	`distribute-lft-neg-in_binary64`
128×	`distribute-lft-neg-out_binary64`
120×	`cancel-sign-sub_binary64` `distribute-rgt-neg-out_binary64`
104×	`*-commutative_binary64`
98×	`+-commutative_binary64`
96×	`associate--r+_binary64`
93×	`associate-l_binary64`
92×	`distribute-rgt-out--_binary64`
80×	`distribute-rgt-out_binary64`
73×	`associate-+l-_binary64`
70×	`distribute-neg-out_binary64`
61×	`associate--r-_binary64`
50×	`associate--l-_binary64`
49×	`associate-r_binary64`
45×	`associate-/l/_binary64`
39×	`associate-+r-_binary64`
36×	`associate-*l/_binary64`
30×	`associate-*r/_binary64`
29×	`associate-+l+_binary64`
27×	`remove-double-neg_binary64`
26×	`associate--l+_binary64`
25×	`*-rgt-identity_binary64`
23×	`associate-+r+_binary64`
22×	`*-lft-identity_binary64`
19×	`sub0-neg_binary64` `mul0-lft_binary64`
17×	`/-rgt-identity_binary64` `mul0-rgt_binary64`
15×	`+-lft-identity_binary64`
14×	`--rgt-identity_binary64` `distribute-rgt1-in_binary64`
11×	`distribute-lft-out--_binary64`
8×	`div0_binary64`
6×	`remove-double-div_binary64` `distribute-lft-out_binary64`
5×	`+-rgt-identity_binary64`
3×	`sqr-neg_binary64`
2×	`*-inverses_binary64` `swap-sqr_binary64`
1×	`1-exp_binary64` `distribute-lft1-in_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` `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-unmult_binary64` `cube-mult_binary64` `cube-div_binary64` `cube-prod_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `times-frac_binary64` `mul-1-neg_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `pow-sqr_binary64` `sqr-pow_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `unswap-sqr_binary64` `count-2_binary64`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	28
1	34	28
2	51	28
3	73	28
4	99	28
5	133	28
6	193	28
7	341	28
8	623	28
9	1044	28
10	1622	28
11	1784	28
12	3307	28
13	4251	28
14	4988	28
15	4600	28

prune1.0ms (0.1%)

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 19 to 16 computations (15.8% saved)

localize16.0ms (0.7%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936))
0.0b	(-.f64 (/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936))))) x)
0.1b	(.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))
14.8b	(/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)))))

rewrite176.0ms (7.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

22×	`add-sqr-sqrt_binary64`
17×	`*-un-lft-identity_binary64`
15×	`add-cube-cbrt_binary64`
10×	`times-frac_binary64`
8×	`add-exp-log_binary64` `add-log-exp_binary64` `add-cbrt-cube_binary64`
6×	`pow1_binary64`
4×	`flip3-+_binary64` `flip-+_binary64`
3×	`associate-/l_binary64` `associate-/r_binary64` `associate-l_binary64` `associate-r_binary64` `cancel-sign-sub-inv_binary64`
2×	`associate-/l/_binary64` `associate-/r/_binary64` `associate-*r/_binary64` `difference-of-squares_binary64`
1×	`div-exp_binary64` `cbrt-undiv_binary64` `frac-2neg_binary64` `clear-num_binary64` `div-inv_binary64` `pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64` `*-commutative_binary64` `diff-log_binary64` `flip3--_binary64` `sub-neg_binary64` `flip--_binary64` `distribute-lft-out--_binary64` `sum-log_binary64` `+-commutative_binary64`

Counts

4 → 81

Calls

4 calls:

11.0ms	(-.f64 (/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936))))) x)
6.0ms	(/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)))))
5.0ms	(.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))
3.0ms	(+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936))

Compiler

Compiled 2438 to 1952 computations (19.9% saved)

series89.0ms (4%)

Error

0.0b

Counts

4 → 34

Calls

4 calls:

17.0ms	(/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)))))
16.0ms	(.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))
16.0ms	(-.f64 (/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936))))) x)
10.0ms	(+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936))

Compiler

Compiled 1007 to 862 computations (14.4% saved)

simplify160.0ms (7.2%)

Algorithm

1×	egg-herbie

Rules

540×	`distribute-rgt-in_binary64`
508×	`distribute-lft-in_binary64`
395×	`times-frac_binary64`
339×	`cancel-sign-sub-inv_binary64`
288×	`*-commutative_binary64`
230×	`sub-neg_binary64`
121×	`associate-l_binary64` `associate-+l+_binary64`
106×	`associate-r_binary64`
102×	`associate-+r+_binary64`
97×	`distribute-rgt-neg-in_binary64` `associate-/r*_binary64`
82×	`unsub-neg_binary64`
81×	`+-commutative_binary64`
78×	`unswap-sqr_binary64`
76×	`sqr-pow_binary64`
72×	`associate-/l*_binary64`
70×	`distribute-lft-neg-in_binary64`
68×	`exp-prod_binary64`
65×	`neg-mul-1_binary64`
63×	`neg-sub0_binary64`
50×	`associate-+l-_binary64`
46×	`associate--r+_binary64`
44×	`associate-*r/_binary64`
43×	`associate-*l/_binary64`
42×	`*-lft-identity_binary64`
41×	`*-rgt-identity_binary64`
37×	`associate--l+_binary64`
35×	`associate-/l/_binary64`
34×	`swap-sqr_binary64` `distribute-neg-in_binary64`
33×	`associate-+r-_binary64`
29×	`distribute-rgt-out_binary64`
27×	`sub0-neg_binary64`
25×	`log-prod_binary64`
22×	`cube-prod_binary64`
20×	`distribute-lft-neg-out_binary64`
19×	`+-rgt-identity_binary64`
18×	`exp-sum_binary64`
16×	`associate-/r/_binary64`
14×	`distribute-rgt-out--_binary64`
10×	`unpow3_binary64` `distribute-lft-out_binary64`
9×	`/-rgt-identity_binary64` `distribute-rgt-neg-out_binary64`
8×	`mul0-rgt_binary64` `mul0-lft_binary64` `difference-of-squares_binary64`
7×	`unpow1/2_binary64` `pow-sqr_binary64`
6×	`exp-diff_binary64` `div-sub_binary64` `distribute-lft-out--_binary64`
5×	`log-div_binary64` `distribute-neg-frac_binary64`
4×	`log-pow_binary64` `pow-plus_binary64` `cube-unmult_binary64` `cube-mult_binary64`
3×	`cube-div_binary64`
2×	`distribute-rgt1-in_binary64` `distribute-lft1-in_binary64`
1×	`log-rec_binary64` `unpow2_binary64` `unpow1_binary64` `div-exp_binary64` `prod-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-lft_binary64` `sqr-neg_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `remove-double-div_binary64` `difference-of-sqr-1_binary64` `associate--l-_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `rec-exp_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `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` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `count-2_binary64` `associate--r-_binary64`

Counts

115 → 61

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	195	2441
1	513	2371
2	1471	2332
3	3883	2332
4	4964	2332
5	4820	2332

prune52.0ms (2.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	60	1	61
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	60	2	62

Error

0.0b

Counts

62 → 2

Compiler

Compiled 972 to 763 computations (21.5% saved)

localize14.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 (pow.f64 x 3) -92304250618445503252926454434554196623737839388146708045600215/51422017416287688817342786954917203280710495801049370729644032)
0.2b	(.f64 x (+.f64 (.f64 x 10848001841832438315400971766275290790594666485/5708990770823839524233143877797980545530986496) -1913600308823862514215888482863/633825300114114700748351602688))
0.3b	(*.f64 x 10848001841832438315400971766275290790594666485/5708990770823839524233143877797980545530986496)
8.0b	(+.f64 (.f64 x (+.f64 (.f64 x 10848001841832438315400971766275290790594666485/5708990770823839524233143877797980545530986496) -1913600308823862514215888482863/633825300114114700748351602688)) (*.f64 (pow.f64 x 3) -92304250618445503252926454434554196623737839388146708045600215/51422017416287688817342786954917203280710495801049370729644032))

rewrite116.0ms (5.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

23×	`add-sqr-sqrt_binary64`
18×	`associate-l_binary64`
13×	`add-exp-log_binary64`
12×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
10×	`add-cbrt-cube_binary64`
9×	`associate-r_binary64`
8×	`pow1_binary64`
6×	`add-log-exp_binary64` `unswap-sqr_binary64`
5×	`prod-exp_binary64`
4×	`unpow-prod-down_binary64` `cube-prod_binary64`
3×	`cbrt-unprod_binary64` `*-commutative_binary64`
2×	`flip3-+_binary64` `flip-+_binary64` `distribute-rgt-in_binary64` `associate-+l+_binary64` `distribute-lft-in_binary64` `pow-prod-down_binary64` `associate-*r/_binary64` `sqr-pow_binary64`
1×	`sum-log_binary64` `+-commutative_binary64` `pow-to-exp_binary64` `pow-exp_binary64` `unpow3_binary64` `cube-mult_binary64`

Counts

4 → 84

Calls

4 calls:

8.0ms	(+.f64 (.f64 x (+.f64 (.f64 x 10848001841832438315400971766275290790594666485/5708990770823839524233143877797980545530986496) -1913600308823862514215888482863/633825300114114700748351602688)) (*.f64 (pow.f64 x 3) -92304250618445503252926454434554196623737839388146708045600215/51422017416287688817342786954917203280710495801049370729644032))
7.0ms	(.f64 x (+.f64 (.f64 x 10848001841832438315400971766275290790594666485/5708990770823839524233143877797980545530986496) -1913600308823862514215888482863/633825300114114700748351602688))
6.0ms	(*.f64 (pow.f64 x 3) -92304250618445503252926454434554196623737839388146708045600215/51422017416287688817342786954917203280710495801049370729644032)
4.0ms	(*.f64 x 10848001841832438315400971766275290790594666485/5708990770823839524233143877797980545530986496)

Compiler

Compiled 1817 to 1476 computations (18.8% saved)

series58.0ms (2.6%)

Error

0.0b

Counts

4 → 17

Calls

4 calls:

15.0ms	(.f64 x (+.f64 (.f64 x 10848001841832438315400971766275290790594666485/5708990770823839524233143877797980545530986496) -1913600308823862514215888482863/633825300114114700748351602688))
13.0ms	(+.f64 (.f64 x (+.f64 (.f64 x 10848001841832438315400971766275290790594666485/5708990770823839524233143877797980545530986496) -1913600308823862514215888482863/633825300114114700748351602688)) (*.f64 (pow.f64 x 3) -92304250618445503252926454434554196623737839388146708045600215/51422017416287688817342786954917203280710495801049370729644032))
9.0ms	(*.f64 (pow.f64 x 3) -92304250618445503252926454434554196623737839388146708045600215/51422017416287688817342786954917203280710495801049370729644032)
7.0ms	(*.f64 x 10848001841832438315400971766275290790594666485/5708990770823839524233143877797980545530986496)

Compiler

Compiled 596 to 531 computations (10.9% saved)

simplify156.0ms (7%)

Algorithm

1×	egg-herbie

Rules

420×	`distribute-rgt-in_binary64`
406×	`distribute-lft-in_binary64`
320×	`log-prod_binary64`
312×	`exp-prod_binary64`
266×	`associate-l_binary64`
215×	`associate-r_binary64`
210×	`cancel-sign-sub-inv_binary64`
148×	`distribute-rgt-neg-in_binary64`
143×	`unswap-sqr_binary64`
125×	`distribute-lft-neg-in_binary64`
102×	`associate-+r+_binary64`
100×	`associate-+l+_binary64`
92×	`*-commutative_binary64`
64×	`cube-prod_binary64`
50×	`sqr-pow_binary64`
48×	`distribute-lft-out_binary64`
47×	`swap-sqr_binary64`
45×	`distribute-rgt-out_binary64`
41×	`unpow3_binary64`
36×	`distribute-rgt-out--_binary64`
28×	`+-commutative_binary64`
27×	`sub-neg_binary64`
26×	`log-pow_binary64`
25×	`exp-diff_binary64`
22×	`*-lft-identity_binary64`
20×	`distribute-lft-out--_binary64`
19×	`neg-mul-1_binary64` `neg-sub0_binary64` `*-rgt-identity_binary64` `associate--r+_binary64`
15×	`distribute-lft-neg-out_binary64` `associate--l+_binary64`
14×	`associate-+r-_binary64`
13×	`pow-plus_binary64`
12×	`exp-sum_binary64`
10×	`distribute-neg-in_binary64` `associate-+l-_binary64`
7×	`pow-sqr_binary64` `distribute-rgt-neg-out_binary64`
6×	`cube-mult_binary64` `unsub-neg_binary64` `associate--r-_binary64`
4×	`cube-unmult_binary64` `rem-sqrt-square_binary64`
3×	`unpow1/2_binary64` `prod-exp_binary64`
2×	`remove-double-neg_binary64` `count-2_binary64` `associate--l-_binary64`
1×	`unpow2_binary64` `unpow1_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `rem-square-sqrt_binary64` `difference-of-squares_binary64` `distribute-neg-out_binary64` `associate-l/_binary64` `associate-r/_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `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` `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` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `associate-/l_binary64` `associate-/r*_binary64`

Counts

101 → 67

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	146	1217
1	343	1178
2	1458	1166
3	4549	1148
4	4946	1148
5	5042	1148

prune49.0ms (2.2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	67	0	67
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	67	2	69

Error

0.0b

Counts

69 → 2

Compiler

Compiled 996 to 800 computations (19.7% saved)

regimes412.0ms (18.5%)

Accuracy

Total 0.1b remaining (83.8%)

Threshold costs 0.1b (83.8%)

Compiler

Compiled 5821 to 4962 computations (14.8% saved)

bsearch0.0ms (0%)

simplify5.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	47
1	30	47
2	34	47
3	36	47
4	37	47
5	36	47

end1.0ms (0.1%)

Compiler: Compiled 31 to 26 computations (16.1% saved)

sample675.0ms (30.4%)

Algorithm

1×

intervals

Results

380.0ms

8000×

body

128

valid

Compiler

Compiled 90 to 81 computations (10% saved)

Details

analyze121.0ms (5.4%)

sample19.0ms (0.9%)

simplify102.0ms (4.6%)

prune1.0ms (0.1%)

localize16.0ms (0.7%)

rewrite176.0ms (7.9%)

series89.0ms (4%)

simplify160.0ms (7.2%)

prune52.0ms (2.3%)

localize14.0ms (0.6%)

rewrite116.0ms (5.2%)

series58.0ms (2.6%)

simplify156.0ms (7%)

prune49.0ms (2.2%)

regimes412.0ms (18.5%)

bsearch0.0ms (0%)

simplify5.0ms (0.2%)

end1.0ms (0.1%)

sample675.0ms (30.4%)

Profiling