Details

analyze845.0ms (9%)

Algorithm

1×	search
2×	egg-herbie

Rules

1591×	`associate-+l+_binary64`
952×	`associate-+r+_binary64`
705×	`div-sub_binary64`
693×	`unsub-neg_binary64`
588×	`distribute-rgt-in_binary64`
548×	`sub-neg_binary64`
510×	`times-frac_binary64`
358×	`distribute-neg-out_binary64`
316×	`distribute-lft-in_binary64`
276×	`cancel-sign-sub-inv_binary64`
273×	`distribute-neg-in_binary64`
236×	`associate-/l*_binary64`
179×	`associate-/r*_binary64`
176×	`+-commutative_binary64`
167×	`distribute-lft-neg-in_binary64`
154×	`distribute-rgt-neg-in_binary64` `associate-+r-_binary64`
141×	`associate--r+_binary64`
125×	`distribute-neg-frac_binary64`
121×	`associate--r-_binary64`
115×	`associate-r_binary64`
102×	`associate--l+_binary64`
95×	`neg-sub0_binary64`
89×	`neg-mul-1_binary64` `cancel-sign-sub_binary64`
83×	`*-commutative_binary64`
82×	`associate-+l-_binary64`
71×	`distribute-lft-neg-out_binary64`
59×	`associate-l_binary64`
58×	`distribute-frac-neg_binary64`
46×	`associate--l-_binary64`
44×	`associate-/r/_binary64`
38×	`distribute-rgt-neg-out_binary64` `associate-*l/_binary64`
32×	`associate-/l/_binary64` `associate-*r/_binary64`
31×	`distribute-lft-out--_binary64`
30×	`*-rgt-identity_binary64`
23×	`remove-double-neg_binary64`
22×	`sub0-neg_binary64`
21×	`--rgt-identity_binary64` `distribute-lft-out_binary64`
20×	`mul0-rgt_binary64` `mul0-lft_binary64`
18×	`div0_binary64`
16×	`log-prod_binary64` `distribute-rgt-out--_binary64`
14×	`*-lft-identity_binary64`
13×	`+-rgt-identity_binary64`
12×	`/-rgt-identity_binary64` `distribute-rgt-out_binary64`
11×	`distribute-rgt1-in_binary64`
10×	`+-lft-identity_binary64`
4×	`distribute-lft1-in_binary64`
2×	`*-inverses_binary64` `remove-double-div_binary64` `count-2_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` `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` `sqr-neg_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_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` `swap-sqr_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	36
1	38	36
2	71	36
3	148	36
4	268	36
5	557	36
6	1211	36
7	2023	36
8	1614	36
9	1779	36
10	1989	36
11	2146	36
12	2463	36
13	3220	36
14	2799	36
15	2804	36
16	2804	36
17	2822	36
18	2822	36
19	2824	36
20	2824	36
21	4772	36
22	4856	36
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
6.2%	93.7%	0.1%	5
6.2%	90.5%	3.2%	6
21.9%	67.1%	11%	7
23.4%	64.8%	11.8%	8
32%	52.7%	15.3%	9
33.2%	51.3%	15.5%	10
37.7%	45.2%	17.2%	11
38.3%	44.4%	17.2%	12
40.6%	41.3%	18%	13
41%	41%	18%	14

Compiler

Compiled 13 to 12 computations (7.7% saved)

sample42.0ms (0.4%)

Algorithm

1×

intervals

Results

9.0ms	184×	body	128	valid
7.0ms	35×	body	1024	valid
5.0ms	37×	body	1024	nan
3.0ms	22×	body	512	valid
2.0ms	18×	body	512	nan
1.0ms	14×	body	256	valid
1.0ms	13×	body	256	nan
1.0ms	17×	body	128	nan
0.0ms	1×	body	2048	valid

Compiler

Compiled 25 to 25 computations (0% saved)

simplify351.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

3857×	`associate--r-_binary64`
1008×	`unsub-neg_binary64`
480×	`sub-neg_binary64`
461×	`cancel-sign-sub-inv_binary64`
388×	`div-sub_binary64`
301×	`distribute-neg-in_binary64`
286×	`times-frac_binary64` `distribute-rgt-in_binary64`
228×	`distribute-lft-in_binary64`
186×	`+-commutative_binary64`
160×	`distribute-rgt-neg-in_binary64`
151×	`associate-r_binary64`
147×	`associate-/l*_binary64`
140×	`associate--l+_binary64`
133×	`neg-sub0_binary64`
125×	`associate--r+_binary64`
123×	`distribute-lft-neg-in_binary64`
120×	`associate-+l-_binary64`
118×	`neg-mul-1_binary64`
114×	`*-commutative_binary64`
112×	`associate-/r*_binary64`
95×	`cancel-sign-sub_binary64`
89×	`distribute-neg-out_binary64`
88×	`distribute-lft-neg-out_binary64`
81×	`associate--l-_binary64`
77×	`distribute-rgt-neg-out_binary64`
71×	`associate-/r/_binary64`
67×	`distribute-neg-frac_binary64`
57×	`--rgt-identity_binary64`
48×	`associate-/l/_binary64`
45×	`associate-+r+_binary64`
44×	`associate-+l+_binary64`
43×	`associate-+r-_binary64`
40×	`remove-double-neg_binary64`
37×	`distribute-rgt-out_binary64`
33×	`associate-l_binary64`
30×	`*-lft-identity_binary64` `distribute-frac-neg_binary64`
27×	`distribute-rgt1-in_binary64`
26×	`associate-*l/_binary64`
22×	`*-rgt-identity_binary64`
21×	`distribute-rgt-out--_binary64`
17×	`distribute-lft1-in_binary64` `associate-*r/_binary64`
16×	`mul0-rgt_binary64`
15×	`sub0-neg_binary64`
13×	`div0_binary64` `distribute-lft-out--_binary64`
12×	`mul0-lft_binary64`
10×	`+-lft-identity_binary64`
8×	`log-prod_binary64` `/-rgt-identity_binary64`
4×	`+-rgt-identity_binary64`
3×	`count-2_binary64`
1×	`1-exp_binary64` `mul-1-neg_binary64` `*-inverses_binary64` `remove-double-div_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` `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` `sqr-neg_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_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` `swap-sqr_binary64` `distribute-lft-out_binary64`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	18
1	22	18
2	39	18
3	81	18
4	151	18
5	294	18
6	569	18
7	1008	18
8	1045	18
9	1155	18
10	1512	18
11	1768	18
12	1990	18
13	2283	18
14	2412	18
15	2455	18
16	2455	18
17	2483	18
18	2487	18
19	2487	18
20	2487	18
21	2487	18
22	4202	18
23	4368	18
24	4392	18
25	4546	18
26	4671	18
27	4684	18
28	5144	18

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

19.4b

Counts

1 → 1

Compiler

Compiled 12 to 11 computations (8.3% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 1 (log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))))
0.0b	(/.f64 (-.f64 x y) (-.f64 1 y))
2.2b	(-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))
6.3b	(log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))))

rewrite348.0ms (3.7%)

Algorithm

1×	rewrite-expression-head

Error

16.3b

Rules

118×	`add-sqr-sqrt_binary64`
107×	`*-un-lft-identity_binary64`
66×	`times-frac_binary64`
49×	`difference-of-squares_binary64`
40×	`cancel-sign-sub-inv_binary64`
32×	`add-cube-cbrt_binary64`
29×	`distribute-lft-out--_binary64`
16×	`log-prod_binary64`
8×	`associate--r+_binary64`
7×	`pow1_binary64` `flip3--_binary64` `flip--_binary64` `add-exp-log_binary64` `add-log-exp_binary64`
6×	`add-cbrt-cube_binary64` `associate-/r*_binary64`
5×	`associate-/l*_binary64`
4×	`log-div_binary64` `associate-/r/_binary64`
3×	`log-pow_binary64` `associate--r-_binary64`
2×	`diff-log_binary64` `sub-neg_binary64` `div-inv_binary64` `div-sub_binary64` `associate-/l/_binary64`
1×	`rem-log-exp_binary64` `div-exp_binary64` `cbrt-undiv_binary64` `frac-2neg_binary64` `clear-num_binary64`

Counts

4 → 159

Calls

4 calls:

23.0ms	(-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))
21.0ms	(-.f64 1 (log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))))
16.0ms	(log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))))
9.0ms	(/.f64 (-.f64 x y) (-.f64 1 y))

Compiler

Compiled 3129 to 1995 computations (36.2% saved)

series259.0ms (2.8%)

Error

0.0b

Counts

4 → 70

Calls

4 calls:

60.0ms	(-.f64 1 (log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))))
53.0ms	(log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))))
36.0ms	(-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))
31.0ms	(/.f64 (-.f64 x y) (-.f64 1 y))

Compiler

Compiled 3744 to 3030 computations (19.1% saved)

simplify169.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

268×	`+-commutative_binary64`
233×	`neg-sub0_binary64`
218×	`neg-mul-1_binary64`
198×	`associate--l+_binary64`
192×	`sub-neg_binary64`
182×	`associate-+l+_binary64`
180×	`associate-+r+_binary64`
179×	`associate--r+_binary64`
150×	`div-sub_binary64`
121×	`*-commutative_binary64`
117×	`associate-/r*_binary64`
103×	`associate-/l_binary64` `associate-l/_binary64`
90×	`associate-*r/_binary64`
81×	`distribute-neg-in_binary64`
75×	`associate-l_binary64`
72×	`distribute-rgt-in_binary64`
71×	`times-frac_binary64` `distribute-lft-in_binary64`
70×	`associate-r_binary64`
46×	`cancel-sign-sub-inv_binary64`
45×	`distribute-lft-neg-out_binary64`
40×	`distribute-rgt-neg-in_binary64`
39×	`distribute-neg-frac_binary64`
38×	`exp-prod_binary64`
36×	`associate-/l/_binary64`
26×	`sqr-pow_binary64`
23×	`log-prod_binary64` `distribute-rgt-neg-out_binary64`
21×	`cube-prod_binary64`
20×	`exp-sum_binary64` `associate-+r-_binary64`
17×	`log-div_binary64` `distribute-lft-neg-in_binary64`
15×	`associate-+l-_binary64`
12×	`associate-/r/_binary64` `associate--r-_binary64`
10×	`cube-div_binary64`
9×	`exp-diff_binary64`
8×	`unpow3_binary64` `distribute-rgt1-in_binary64`
7×	`cube-unmult_binary64` `cube-mult_binary64` `unsub-neg_binary64` `distribute-rgt-out_binary64`
6×	`log-pow_binary64` `/-rgt-identity_binary64` `*-lft-identity_binary64` `unswap-sqr_binary64` `swap-sqr_binary64`
5×	`log-rec_binary64` `unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `rem-sqrt-square_binary64` `mul-1-neg_binary64`
3×	`prod-exp_binary64` `rem-3cbrt-lft_binary64` `rem-square-sqrt_binary64` `*-rgt-identity_binary64`
2×	`exp-to-pow_binary64` `remove-double-neg_binary64` `distribute-lft1-in_binary64` `distribute-lft-out_binary64`
1×	`pow-plus_binary64` `div-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-exp-log_binary64` `distribute-neg-out_binary64` `distribute-rgt-out--_binary64` `count-2_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` `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` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `pow-sqr_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-lft-out--_binary64`

Counts

229 → 155

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	430	6143
1	1236	5956
2	4407	5612
3	4979	5612

prune136.0ms (1.4%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	150	5	155
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	151	5	156

Error

0.0b

Counts

156 → 5

Compiler

Compiled 2602 to 1707 computations (34.4% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(log.f64 (/.f64 E.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))))
0.0b	(/.f64 (-.f64 x y) (-.f64 1 y))
0.1b	(/.f64 E.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))))
2.2b	(-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))

rewrite284.0ms (3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

177×	`add-sqr-sqrt_binary64`
145×	`*-un-lft-identity_binary64`
124×	`times-frac_binary64`
67×	`difference-of-squares_binary64`
54×	`add-cube-cbrt_binary64`
36×	`cancel-sign-sub-inv_binary64`
32×	`distribute-lft-out--_binary64`
30×	`log-prod_binary64`
14×	`associate-/r*_binary64`
13×	`add-exp-log_binary64`
8×	`add-cbrt-cube_binary64` `associate-/r/_binary64` `associate-/l*_binary64`
6×	`add-log-exp_binary64` `flip3--_binary64` `flip--_binary64`
5×	`pow1_binary64` `div-exp_binary64`
4×	`div-inv_binary64`
3×	`rem-log-exp_binary64`
2×	`div-sub_binary64` `e-exp-1_binary64` `cbrt-undiv_binary64` `frac-2neg_binary64` `clear-num_binary64` `associate-/l/_binary64`
1×	`diff-log_binary64` `sub-neg_binary64` `associate--r-_binary64` `log-pow_binary64` `log-div_binary64`

Counts

4 → 203

Calls

4 calls:

21.0ms	(/.f64 E.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))))
19.0ms	(-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))
18.0ms	(log.f64 (/.f64 E.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))))
10.0ms	(/.f64 (-.f64 x y) (-.f64 1 y))

Compiler

Compiled 4217 to 2469 computations (41.5% saved)

series407.0ms (4.3%)

Error

Counts

4 → 67

Calls

4 calls:

168.0ms	(log.f64 (/.f64 E.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))))
87.0ms	(/.f64 E.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))))
36.0ms	(-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))
31.0ms	(/.f64 (-.f64 x y) (-.f64 1 y))

Compiler

Compiled 5301 to 4141 computations (21.9% saved)

simplify169.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

381×	`associate-/r*_binary64`
277×	`times-frac_binary64`
269×	`associate-/l*_binary64`
187×	`sub-neg_binary64`
182×	`associate-*l/_binary64`
155×	`associate-*r/_binary64`
146×	`associate-r_binary64`
129×	`+-commutative_binary64`
126×	`associate-l_binary64`
96×	`*-commutative_binary64`
89×	`associate-/l/_binary64`
88×	`neg-sub0_binary64`
87×	`associate-+r+_binary64`
84×	`neg-mul-1_binary64`
76×	`distribute-rgt-in_binary64`
75×	`distribute-lft-in_binary64`
60×	`distribute-neg-in_binary64`
49×	`log-div_binary64`
47×	`div-sub_binary64`
42×	`cancel-sign-sub-inv_binary64` `distribute-lft-neg-out_binary64` `associate-/r/_binary64`
38×	`distribute-neg-frac_binary64`
36×	`distribute-rgt-neg-in_binary64`
33×	`sqr-pow_binary64`
22×	`distribute-rgt-neg-out_binary64`
21×	`associate--l+_binary64` `associate--r+_binary64`
20×	`unswap-sqr_binary64`
14×	`distribute-lft-neg-in_binary64`
13×	`log-prod_binary64`
10×	`distribute-rgt-out_binary64`
9×	`mul-1-neg_binary64` `/-rgt-identity_binary64`
8×	`swap-sqr_binary64`
7×	`log-rec_binary64` `unpow3_binary64`
6×	`cube-mult_binary64` `distribute-rgt1-in_binary64`
5×	`unpow2_binary64` `unpow1_binary64` `*-lft-identity_binary64`
4×	`prod-exp_binary64` `cube-unmult_binary64` `cube-div_binary64` `cube-prod_binary64`
3×	`exp-sum_binary64` `*-rgt-identity_binary64` `distribute-lft-out_binary64`
2×	`exp-prod_binary64` `exp-diff_binary64` `unsub-neg_binary64` `distribute-lft1-in_binary64`
1×	`log-E_binary64` `div-exp_binary64` `rec-exp_binary64` `e-exp-1_binary64` `1-exp_binary64` `rem-exp-log_binary64` `rem-3cbrt-lft_binary64` `rem-square-sqrt_binary64` `remove-double-neg_binary64` `distribute-rgt-out--_binary64` `count-2_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-pow_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `unpow1/2_binary64` `pow-plus_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `exp-neg_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-sqrt-square_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `pow-sqr_binary64` `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-lft-out--_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate-+l-_binary64` `associate-+r-_binary64` `associate-+l+_binary64`

Counts

270 → 176

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	596	8659
1	1721	8469
2	5016	8469

prune155.0ms (1.6%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	173	3	176
Fresh	4	0	4
Picked	1	0	1
Done	0	0	0
Total	178	3	181

Error

Counts

181 → 3

Compiler

Compiled 3641 to 2263 computations (37.8% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (/.f64 E.f64 (-.f64 1 x)) (*.f64 (/.f64 E.f64 (-.f64 1 x)) y))
0.1b	(/.f64 E.f64 (-.f64 1 x))
0.1b	(/.f64 E.f64 (-.f64 1 x))
0.3b	(*.f64 (/.f64 E.f64 (-.f64 1 x)) y)

rewrite195.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

75×	`add-sqr-sqrt_binary64`
70×	`*-un-lft-identity_binary64`
55×	`times-frac_binary64`
37×	`add-cube-cbrt_binary64`
24×	`associate-l_binary64`
22×	`difference-of-squares_binary64`
17×	`add-exp-log_binary64`
13×	`add-cbrt-cube_binary64`
12×	`associate-/r*_binary64`
11×	`distribute-lft-out--_binary64`
6×	`pow1_binary64` `div-exp_binary64` `add-log-exp_binary64` `associate-/r/_binary64` `associate-/l*_binary64`
4×	`flip3--_binary64` `flip--_binary64`
3×	`e-exp-1_binary64` `prod-exp_binary64` `cbrt-undiv_binary64` `associate-l/_binary64` `div-inv_binary64` `associate-r*_binary64`
2×	`cbrt-unprod_binary64` `unswap-sqr_binary64` `frac-2neg_binary64` `clear-num_binary64`
1×	`pow-prod-down_binary64` `*-commutative_binary64` `diff-log_binary64` `frac-sub_binary64` `sub-div_binary64` `sub-neg_binary64` `cancel-sign-sub-inv_binary64`

Counts

4 → 142

Calls

4 calls:

13.0ms	(*.f64 (/.f64 E.f64 (-.f64 1 x)) y)
11.0ms	(-.f64 (/.f64 E.f64 (-.f64 1 x)) (*.f64 (/.f64 E.f64 (-.f64 1 x)) y))
6.0ms	(/.f64 E.f64 (-.f64 1 x))
6.0ms	(/.f64 E.f64 (-.f64 1 x))

Compiler

Compiled 2895 to 1855 computations (35.9% saved)

series108.0ms (1.1%)

Error

Counts

4 → 41

Calls

4 calls:

34.0ms	(-.f64 (/.f64 E.f64 (-.f64 1 x)) (*.f64 (/.f64 E.f64 (-.f64 1 x)) y))
24.0ms	(*.f64 (/.f64 E.f64 (-.f64 1 x)) y)
11.0ms	(/.f64 E.f64 (-.f64 1 x))
11.0ms	(/.f64 E.f64 (-.f64 1 x))

Compiler

Compiled 1495 to 1005 computations (32.8% saved)

simplify194.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

347×	`cancel-sign-sub-inv_binary64`
335×	`associate-/l_binary64` `associate-l/_binary64`
235×	`times-frac_binary64`
229×	`associate-*r/_binary64`
181×	`div-sub_binary64`
177×	`associate--r+_binary64`
151×	`associate--l+_binary64`
146×	`distribute-rgt-neg-in_binary64`
133×	`neg-sub0_binary64`
131×	`associate-/r*_binary64`
128×	`neg-mul-1_binary64`
123×	`distribute-lft-neg-in_binary64`
119×	`distribute-rgt-out_binary64`
117×	`sub-neg_binary64`
101×	`distribute-rgt-in_binary64`
97×	`distribute-lft-out_binary64`
87×	`unsub-neg_binary64`
82×	`associate-l_binary64`
76×	`*-commutative_binary64`
69×	`distribute-lft-in_binary64` `associate-/l/_binary64`
63×	`distribute-neg-frac_binary64` `associate-r_binary64`
62×	`+-commutative_binary64`
59×	`associate-/r/_binary64`
52×	`distribute-neg-in_binary64`
37×	`log-div_binary64` `associate-+l+_binary64`
36×	`distribute-rgt-out--_binary64`
35×	`exp-prod_binary64`
31×	`cube-prod_binary64` `associate-+r+_binary64`
28×	`log-prod_binary64`
27×	`sqr-pow_binary64`
26×	`distribute-lft-neg-out_binary64` `distribute-rgt1-in_binary64`
24×	`cube-div_binary64`
20×	`unpow3_binary64` `distribute-lft-out--_binary64`
17×	`unswap-sqr_binary64`
16×	`*-rgt-identity_binary64`
12×	`*-lft-identity_binary64`
11×	`swap-sqr_binary64`
10×	`distribute-lft1-in_binary64`
8×	`exp-sum_binary64`
7×	`log-rec_binary64` `cube-mult_binary64` `/-rgt-identity_binary64` `distribute-rgt-neg-out_binary64`
6×	`mul-1-neg_binary64`
5×	`exp-diff_binary64` `associate--l-_binary64`
4×	`associate-+r-_binary64`
3×	`+-rgt-identity_binary64` `difference-of-squares_binary64`
2×	`unpow1/2_binary64` `pow-plus_binary64` `rec-exp_binary64` `prod-exp_binary64` `cube-unmult_binary64` `sqr-neg_binary64` `div0_binary64` `associate--r-_binary64` `associate-+l-_binary64`
1×	`log-E_binary64` `unpow2_binary64` `unpow1_binary64` `div-exp_binary64` `e-exp-1_binary64` `1-exp_binary64` `cube-neg_binary64` `rem-sqrt-square_binary64` `remove-double-neg_binary64` `pow-sqr_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-pow_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `exp-neg_binary64` `exp-1-e_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` `sub0-neg_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `count-2_binary64`

Counts

183 → 125

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	189	3065
1	481	2824
2	1452	2739
3	4402	2739
4	4987	2739
5	4994	2739
6	4967	2739

prune108.0ms (1.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	124	1	125
Fresh	1	1	2
Picked	0	1	1
Done	0	0	0
Total	125	3	128

Error

Counts

128 → 3

Compiler

Compiled 1872 to 1150 computations (38.6% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (log.f64 (sqrt.f64 E.f64)) (log.f64 (/.f64 (sqrt.f64 E.f64) (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))))))
0.0b	(log.f64 (/.f64 (sqrt.f64 E.f64) (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))))
0.1b	(/.f64 (sqrt.f64 E.f64) (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))))
2.2b	(-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))

rewrite352.0ms (3.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

276×	`add-sqr-sqrt_binary64`
214×	`times-frac_binary64`
200×	`*-un-lft-identity_binary64`
114×	`log-prod_binary64`
96×	`difference-of-squares_binary64`
89×	`add-cube-cbrt_binary64`
78×	`sqrt-prod_binary64`
54×	`associate-+r+_binary64`
36×	`cancel-sign-sub-inv_binary64`
31×	`distribute-lft-out--_binary64`
9×	`pow1_binary64` `add-exp-log_binary64`
8×	`associate-/r/_binary64` `associate-/r*_binary64`
6×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `associate-/l*_binary64` `associate-+l+_binary64`
5×	`flip3--_binary64` `flip--_binary64` `log-pow_binary64`
4×	`div-inv_binary64` `distribute-lft-out_binary64`
2×	`div-exp_binary64` `log-div_binary64` `rem-log-exp_binary64`
1×	`diff-log_binary64` `sub-neg_binary64` `div-sub_binary64` `associate--r-_binary64` `cbrt-undiv_binary64` `frac-2neg_binary64` `clear-num_binary64` `sum-log_binary64` `flip3-+_binary64` `flip-+_binary64` `associate-+r-_binary64` `+-commutative_binary64`

Counts

4 → 270

Calls

4 calls:

29.0ms	(+.f64 (log.f64 (sqrt.f64 E.f64)) (log.f64 (/.f64 (sqrt.f64 E.f64) (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))))))
26.0ms	(log.f64 (/.f64 (sqrt.f64 E.f64) (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))))
22.0ms	(/.f64 (sqrt.f64 E.f64) (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))))
18.0ms	(-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))

Compiler

Compiled 6933 to 3637 computations (47.5% saved)

series792.0ms (8.4%)

Error

Counts

4 → 68

Calls

4 calls:

251.0ms	(/.f64 (sqrt.f64 E.f64) (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))))
211.0ms	(+.f64 (log.f64 (sqrt.f64 E.f64)) (log.f64 (/.f64 (sqrt.f64 E.f64) (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))))))
187.0ms	(log.f64 (/.f64 (sqrt.f64 E.f64) (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))))
38.0ms	(-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))

Compiler

Compiled 9721 to 7283 computations (25.1% saved)

simplify272.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

437×	`associate-/r*_binary64`
327×	`times-frac_binary64`
263×	`associate-/l*_binary64`
243×	`associate-*l/_binary64`
211×	`+-commutative_binary64`
200×	`sub-neg_binary64`
138×	`associate-+r+_binary64`
128×	`*-commutative_binary64`
88×	`neg-sub0_binary64`
85×	`neg-mul-1_binary64`
76×	`distribute-rgt-in_binary64`
72×	`distribute-lft-in_binary64`
66×	`associate-/l/_binary64`
61×	`log-div_binary64`
60×	`cancel-sign-sub-inv_binary64`
53×	`distribute-neg-in_binary64` `associate-*r/_binary64`
47×	`distribute-rgt-out_binary64`
46×	`distribute-lft-neg-out_binary64`
45×	`distribute-rgt-neg-in_binary64`
39×	`sqr-pow_binary64`
36×	`distribute-neg-frac_binary64`
33×	`div-sub_binary64`
26×	`associate--l+_binary64`
25×	`associate--r+_binary64`
22×	`unswap-sqr_binary64` `distribute-rgt-neg-out_binary64`
18×	`distribute-lft-neg-in_binary64`
17×	`log-prod_binary64` `associate-/r/_binary64`
13×	`associate-r_binary64`
10×	`log-rec_binary64`
9×	`unpow3_binary64` `cube-mult_binary64`
8×	`unsub-neg_binary64` `swap-sqr_binary64`
7×	`mul-1-neg_binary64` `/-rgt-identity_binary64`
6×	`*-lft-identity_binary64` `distribute-rgt1-in_binary64` `distribute-lft-out_binary64`
5×	`unpow2_binary64` `unpow1_binary64` `associate-l_binary64`
4×	`exp-sum_binary64` `cube-unmult_binary64` `cube-prod_binary64` `*-rgt-identity_binary64` `distribute-rgt-out--_binary64`
2×	`exp-prod_binary64` `exp-diff_binary64` `rem-exp-log_binary64` `cube-div_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `distribute-lft1-in_binary64` `count-2_binary64`
1×	`div-exp_binary64` `prod-exp_binary64` `e-exp-1_binary64` `1-exp_binary64` `rem-3cbrt-lft_binary64` `remove-double-neg_binary64` `difference-of-squares_binary64` `distribute-lft-out--_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-pow_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `unpow1/2_binary64` `pow-plus_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `rec-exp_binary64` `exp-neg_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `pow-sqr_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate-+l-_binary64` `associate-+l+_binary64`

Counts

338 → 236

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	749	15054
1	2151	14544
2	5178	14544

prune184.0ms (2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	236	0	236
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	236	3	239

Error

Counts

239 → 3

Compiler

Compiled 6139 to 3551 computations (42.2% saved)

regimes2.5s (27%)

Accuracy

Total 0.0b remaining (64.7%)

Threshold costs 0.0b (64.7%)

Compiler

Compiled 31979 to 26806 computations (16.2% saved)

bsearch0.0ms (0%)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Rules

7×	`sub-neg_binary64` `+-commutative_binary64`
6×	`*-commutative_binary64`
5×	`neg-mul-1_binary64` `neg-sub0_binary64`
2×	`distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64`
1×	`e-exp-1_binary64` `1-exp_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` `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` `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-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-neg-in_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	23
1	19	23
2	28	23
3	40	23
4	48	23
5	53	23
6	55	23
7	54	23

end1.0ms (0%)

Compiler: Compiled 14 to 12 computations (14.3% saved)

sample1.4s (15.4%)

Algorithm

1×

intervals

Results

313.0ms	5828×	body	128	valid
215.0ms	1068×	body	1024	valid
163.0ms	1026×	body	1024	nan
90.0ms	660×	body	512	valid
75.0ms	655×	body	512	nan
35.0ms	384×	body	256	valid
27.0ms	366×	body	256	nan
18.0ms	60×	body	2048	valid
17.0ms	471×	body	128	nan
1.0ms	5×	body	2048	nan

Compiler

Compiled 130 to 110 computations (15.4% saved)

Details

analyze845.0ms (9%)

sample42.0ms (0.4%)

simplify351.0ms (3.7%)

prune1.0ms (0%)

localize8.0ms (0.1%)

rewrite348.0ms (3.7%)

series259.0ms (2.8%)

simplify169.0ms (1.8%)

prune136.0ms (1.4%)

localize9.0ms (0.1%)

rewrite284.0ms (3%)

series407.0ms (4.3%)

simplify169.0ms (1.8%)

prune155.0ms (1.6%)

localize8.0ms (0.1%)

rewrite195.0ms (2.1%)

series108.0ms (1.1%)

simplify194.0ms (2.1%)

prune108.0ms (1.1%)

localize13.0ms (0.1%)

rewrite352.0ms (3.7%)

series792.0ms (8.4%)

simplify272.0ms (2.9%)

prune184.0ms (2%)

regimes2.5s (27%)

bsearch0.0ms (0%)

simplify4.0ms (0%)

end1.0ms (0%)

sample1.4s (15.4%)

Profiling