Details

analyze278.0ms (6.3%)

Algorithm

1×	search
2×	egg-herbie

Rules

752×	`distribute-rgt-in_binary64`
602×	`distribute-lft-in_binary64`
406×	`unsub-neg_binary64`
389×	`sub-neg_binary64`
376×	`neg-sub0_binary64`
373×	`distribute-rgt-out--_binary64`
362×	`neg-mul-1_binary64`
335×	`distribute-neg-in_binary64`
244×	`*-commutative_binary64`
218×	`div-sub_binary64`
201×	`distribute-lft-neg-out_binary64`
198×	`distribute-rgt-neg-out_binary64`
172×	`associate--r+_binary64`
158×	`+-commutative_binary64`
156×	`times-frac_binary64`
138×	`associate-/l/_binary64`
137×	`associate--l+_binary64`
136×	`associate-+l+_binary64`
133×	`associate-+l-_binary64`
132×	`cancel-sign-sub-inv_binary64`
127×	`distribute-neg-out_binary64`
123×	`associate-+r+_binary64`
117×	`distribute-rgt-neg-in_binary64`
116×	`associate-/r/_binary64`
114×	`distribute-rgt-out_binary64`
107×	`associate--r-_binary64`
100×	`distribute-lft-neg-in_binary64`
98×	`associate--l-_binary64`
93×	`associate-/l*_binary64`
91×	`associate-/r*_binary64`
82×	`associate-+r-_binary64`
75×	`log-div_binary64`
55×	`log-prod_binary64` `distribute-rgt1-in_binary64`
51×	`count-2_binary64`
45×	`associate-l_binary64`
42×	`distribute-neg-frac_binary64`
39×	`associate-r_binary64`
38×	`cancel-sign-sub_binary64`
23×	`+-lft-identity_binary64`
22×	`-rgt-identity_binary64` `-lft-identity_binary64`
21×	`remove-double-neg_binary64`
20×	`distribute-lft-out--_binary64` `associate-*l/_binary64`
18×	`sub0-neg_binary64`
16×	`--rgt-identity_binary64` `distribute-lft-out_binary64` `associate-*r/_binary64`
14×	`+-rgt-identity_binary64`
13×	`log-rec_binary64`
12×	`mul0-rgt_binary64` `distribute-lft1-in_binary64`
11×	`distribute-frac-neg_binary64`
10×	`div0_binary64`
8×	`mul-1-neg_binary64`
6×	`mul0-lft_binary64`
3×	`/-rgt-identity_binary64`
2×	`+-inverses_binary64` `remove-double-div_binary64`
1×	`1-exp_binary64` `*-inverses_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` `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` `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	11	15
1	20	15
2	26	15
3	40	15
4	60	15
5	81	15
6	117	15
7	201	15
8	367	15
9	492	15
10	574	15
11	566	15
12	611	15
13	681	15
14	841	15
15	1728	15
16	1773	15
17	2096	15
18	2397	15
19	2485	15
20	2514	15
21	2528	15
22	2528	15
23	2718	15
24	2796	15
25	2932	15
26	3066	15
27	3050	15
28	3062	15
29	3066	15
30	4296	15
31	4506	15
32	4713	15
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
0%	50%	50%	3
25%	25%	50%	4
37.5%	12.5%	50%	5
43.7%	6.2%	50%	6
46.9%	3.1%	50%	7
48.4%	1.6%	50%	8
49.2%	0.8%	50%	9
49.6%	0.4%	50%	10
49.8%	0.2%	50%	11
49.9%	0.1%	50%	12
49.9%	0%	50%	13
49.9%	0%	50%	14

Compiler

Compiled 13 to 12 computations (7.7% saved)

sample83.0ms (1.9%)

Algorithm

1×

intervals

Results

48.0ms	130×	body	1024	valid
14.0ms	68×	body	512	valid
6.0ms	11×	body	2048	valid
3.0ms	26×	body	256	valid
1.0ms	21×	body	128	valid

Compiler

Compiled 25 to 24 computations (4% saved)

simplify267.0ms (6.1%)

Algorithm

1×	egg-herbie

Rules

752×	`distribute-rgt-in_binary64`
602×	`distribute-lft-in_binary64`
406×	`unsub-neg_binary64`
389×	`sub-neg_binary64`
376×	`neg-sub0_binary64`
373×	`distribute-rgt-out--_binary64`
362×	`neg-mul-1_binary64`
335×	`distribute-neg-in_binary64`
244×	`*-commutative_binary64`
218×	`div-sub_binary64`
201×	`distribute-lft-neg-out_binary64`
198×	`distribute-rgt-neg-out_binary64`
172×	`associate--r+_binary64`
158×	`+-commutative_binary64`
156×	`times-frac_binary64`
138×	`associate-/l/_binary64`
137×	`associate--l+_binary64`
136×	`associate-+l+_binary64`
133×	`associate-+l-_binary64`
132×	`cancel-sign-sub-inv_binary64`
127×	`distribute-neg-out_binary64`
123×	`associate-+r+_binary64`
117×	`distribute-rgt-neg-in_binary64`
116×	`associate-/r/_binary64`
114×	`distribute-rgt-out_binary64`
107×	`associate--r-_binary64`
100×	`distribute-lft-neg-in_binary64`
98×	`associate--l-_binary64`
93×	`associate-/l*_binary64`
91×	`associate-/r*_binary64`
82×	`associate-+r-_binary64`
75×	`log-div_binary64`
55×	`log-prod_binary64` `distribute-rgt1-in_binary64`
51×	`count-2_binary64`
45×	`associate-l_binary64`
42×	`distribute-neg-frac_binary64`
39×	`associate-r_binary64`
38×	`cancel-sign-sub_binary64`
23×	`+-lft-identity_binary64`
22×	`-rgt-identity_binary64` `-lft-identity_binary64`
21×	`remove-double-neg_binary64`
20×	`distribute-lft-out--_binary64` `associate-*l/_binary64`
18×	`sub0-neg_binary64`
16×	`--rgt-identity_binary64` `distribute-lft-out_binary64` `associate-*r/_binary64`
14×	`+-rgt-identity_binary64`
13×	`log-rec_binary64`
12×	`mul0-rgt_binary64` `distribute-lft1-in_binary64`
11×	`distribute-frac-neg_binary64`
10×	`div0_binary64`
8×	`mul-1-neg_binary64`
6×	`mul0-lft_binary64`
3×	`/-rgt-identity_binary64`
2×	`+-inverses_binary64` `remove-double-div_binary64`
1×	`1-exp_binary64` `*-inverses_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` `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` `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`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	15
1	20	15
2	26	15
3	40	15
4	60	15
5	81	15
6	117	15
7	201	15
8	367	15
9	492	15
10	574	15
11	566	15
12	611	15
13	681	15
14	841	15
15	1728	15
16	1773	15
17	2096	15
18	2397	15
19	2485	15
20	2514	15
21	2528	15
22	2528	15
23	2718	15
24	2796	15
25	2932	15
26	3066	15
27	3050	15
28	3062	15
29	3066	15
30	4296	15
31	4506	15
32	4713	15

prune3.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

58.4b

Counts

2 → 1

Compiler

Compiled 20 to 18 computations (10% saved)

localize10.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (+.f64 1 x) (-.f64 1 x))
5.1b	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))

rewrite159.0ms (3.6%)

Algorithm

1×	rewrite-expression-head

Error

58.3b

Rules

78×	`*-un-lft-identity_binary64`
52×	`add-sqr-sqrt_binary64`
48×	`times-frac_binary64`
30×	`log-prod_binary64`
25×	`add-cube-cbrt_binary64`
18×	`difference-of-squares_binary64`
13×	`distribute-lft-out_binary64`
9×	`distribute-lft-out--_binary64`
7×	`add-exp-log_binary64`
6×	`associate-/r*_binary64`
4×	`associate-/r/_binary64` `add-cbrt-cube_binary64` `associate-/l*_binary64`
3×	`pow1_binary64`
2×	`div-inv_binary64` `flip3--_binary64` `flip--_binary64` `div-exp_binary64` `rem-log-exp_binary64` `add-log-exp_binary64` `associate-/l/_binary64`
1×	`log-pow_binary64` `log-div_binary64` `cbrt-undiv_binary64` `frac-2neg_binary64` `clear-num_binary64` `flip3-+_binary64` `flip-+_binary64`

Counts

2 → 91

Calls

2 calls:

8.0ms	(/.f64 (+.f64 1 x) (-.f64 1 x))
7.0ms	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))

Compiler

Compiled 1372 to 1094 computations (20.3% saved)

series33.0ms (0.8%)

Error

Counts

2 → 13

Calls

2 calls:

13.0ms	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
11.0ms	(/.f64 (+.f64 1 x) (-.f64 1 x))

Compiler

Compiled 292 to 274 computations (6.2% saved)

simplify119.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

486×	`div-sub_binary64`
437×	`distribute-rgt-in_binary64`
365×	`distribute-lft-in_binary64`
329×	`associate-/l*_binary64`
229×	`sub-neg_binary64`
189×	`associate-/l/_binary64`
181×	`log-div_binary64`
161×	`associate-/r*_binary64`
139×	`cancel-sign-sub-inv_binary64`
132×	`distribute-rgt-out_binary64` `associate-/r/_binary64`
105×	`times-frac_binary64`
103×	`div-exp_binary64`
99×	`associate-l_binary64`
95×	`prod-exp_binary64`
91×	`associate-r_binary64`
78×	`log-prod_binary64`
71×	`distribute-rgt-neg-out_binary64` `associate-+l+_binary64` `+-commutative_binary64`
70×	`unsub-neg_binary64`
69×	`*-commutative_binary64`
57×	`distribute-lft-neg-out_binary64` `associate--l-_binary64`
52×	`associate-+r+_binary64`
48×	`associate-+l-_binary64`
43×	`distribute-lft-out_binary64`
42×	`neg-sub0_binary64` `distribute-rgt-neg-in_binary64`
41×	`neg-mul-1_binary64`
40×	`log-rec_binary64`
38×	`associate-+r-_binary64`
37×	`cube-prod_binary64`
33×	`distribute-lft-neg-in_binary64`
32×	`exp-sum_binary64`
29×	`associate--l+_binary64`
26×	`exp-prod_binary64`
25×	`sqr-pow_binary64` `distribute-rgt1-in_binary64` `distribute-rgt-out--_binary64`
23×	`cube-div_binary64` `associate-*l/_binary64`
22×	`rec-exp_binary64` `distribute-neg-out_binary64`
20×	`unswap-sqr_binary64` `associate-*r/_binary64`
19×	`*-rgt-identity_binary64`
18×	`exp-diff_binary64` `/-rgt-identity_binary64` `distribute-neg-frac_binary64`
16×	`*-lft-identity_binary64`
14×	`cube-unmult_binary64`
13×	`distribute-neg-in_binary64`
11×	`swap-sqr_binary64`
10×	`distribute-lft1-in_binary64`
9×	`unpow3_binary64`
7×	`+-rgt-identity_binary64` `cancel-sign-sub_binary64` `count-2_binary64`
6×	`sqr-neg_binary64` `distribute-frac-neg_binary64`
5×	`rem-exp-log_binary64` `sub0-neg_binary64` `remove-double-div_binary64` `distribute-lft-out--_binary64` `associate--r+_binary64`
3×	`pow-plus_binary64` `cube-neg_binary64` `mul-1-neg_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64`
2×	`exp-to-pow_binary64` `cube-mult_binary64` `rem-sqrt-square_binary64` `remove-double-neg_binary64` `pow-sqr_binary64`
1×	`log-pow_binary64` `unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-log-exp_binary64` `+-inverses_binary64` `difference-of-sqr--1_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` `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` `exp-neg_binary64` `e-exp-1_binary64` `exp-0_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` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64`

Counts

104 → 91

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	139	2040
1	308	1948
2	714	1900
3	1920	1896
4	4230	1896
5	5540	1896

prune237.0ms (5.4%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	90	1	91
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	91	1	92

Error

Counts

92 → 1

Compiler

Compiled 1093 to 862 computations (21.1% saved)

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 2/3 (pow.f64 x 3)) (.f64 2/5 (pow.f64 x 5)))
0.1b	(*.f64 2/5 (pow.f64 x 5))
0.1b	(*.f64 2/3 (pow.f64 x 3))

rewrite88.0ms (2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

22×	`add-sqr-sqrt_binary64`
19×	`associate-r_binary64`
13×	`add-exp-log_binary64`
10×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
8×	`unpow-prod-down_binary64`
7×	`add-cbrt-cube_binary64` `unswap-sqr_binary64`
6×	`prod-exp_binary64` `associate-l_binary64`
5×	`add-log-exp_binary64`
4×	`cube-prod_binary64` `sqr-pow_binary64`
3×	`pow1_binary64`
2×	`pow-to-exp_binary64` `pow-exp_binary64` `cbrt-unprod_binary64` `*-commutative_binary64`
1×	`unpow3_binary64` `cube-mult_binary64` `sum-log_binary64` `flip3-+_binary64` `flip-+_binary64` `+-commutative_binary64`

Counts

3 → 67

Calls

3 calls:

6.0ms	(*.f64 2/3 (pow.f64 x 3))
5.0ms	(*.f64 2/5 (pow.f64 x 5))
5.0ms	(+.f64 (.f64 2/3 (pow.f64 x 3)) (.f64 2/5 (pow.f64 x 5)))

Compiler

Compiled 1452 to 1086 computations (25.2% saved)

series46.0ms (1%)

Error

Counts

3 → 12

Calls

3 calls:

21.0ms	(+.f64 (.f64 2/3 (pow.f64 x 3)) (.f64 2/5 (pow.f64 x 5)))
10.0ms	(*.f64 2/5 (pow.f64 x 5))
10.0ms	(*.f64 2/3 (pow.f64 x 3))

Compiler

Compiled 378 to 307 computations (18.8% saved)

simplify80.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

570×	`unswap-sqr_binary64`
494×	`cancel-sign-sub-inv_binary64`
330×	`*-commutative_binary64`
217×	`sqr-pow_binary64`
204×	`distribute-rgt-neg-in_binary64`
190×	`distribute-lft-neg-in_binary64`
180×	`distribute-rgt-in_binary64`
164×	`log-prod_binary64`
163×	`distribute-lft-in_binary64`
162×	`exp-prod_binary64`
150×	`associate-+l+_binary64`
146×	`associate-+r+_binary64`
139×	`cube-prod_binary64`
103×	`associate-l_binary64`
101×	`associate-r_binary64`
90×	`sub-neg_binary64`
86×	`neg-mul-1_binary64`
82×	`neg-sub0_binary64`
61×	`pow-sqr_binary64`
60×	`distribute-rgt-out_binary64`
59×	`swap-sqr_binary64`
45×	`rem-sqrt-square_binary64`
42×	`unsub-neg_binary64`
38×	`associate-/l*_binary64`
35×	`unpow3_binary64`
32×	`+-commutative_binary64`
30×	`difference-of-squares_binary64`
29×	`times-frac_binary64`
27×	`log-pow_binary64`
26×	`pow-plus_binary64`
24×	`associate-/r*_binary64`
22×	`distribute-rgt-out--_binary64`
20×	`cube-mult_binary64`
18×	`cube-unmult_binary64`
15×	`distribute-lft-neg-out_binary64` `associate-+l-_binary64`
12×	`sub0-neg_binary64` `distribute-lft-out_binary64`
11×	`distribute-neg-in_binary64` `associate-+r-_binary64`
10×	`associate-/l/_binary64` `associate-*r/_binary64`
8×	`count-2_binary64` `associate-/r/_binary64`
7×	`+-rgt-identity_binary64`
5×	`mul0-rgt_binary64` `mul0-lft_binary64`
4×	`exp-sum_binary64` `associate--r+_binary64`
2×	`unpow2_binary64` `distribute-lft-out--_binary64`
1×	`unpow1/3_binary64` `prod-exp_binary64` `1-exp_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `rem-square-sqrt_binary64` `remove-double-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` `unpow1/2_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` `exp-diff_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-div_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `div-sub_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `div0_binary64` `-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `associate-l/_binary64` `associate--r-_binary64` `associate--l-_binary64`

Counts

79 → 36

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	118	972
1	260	908
2	715	908
3	1426	908
4	3692	897
5	5320	897

prune26.0ms (0.6%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	36	0	36
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	36	1	37

Error

Counts

37 → 1

Compiler

Compiled 530 to 385 computations (27.4% saved)

regimes282.0ms (6.4%)

Accuracy

Total 0.0b remaining (0.3%)

Threshold costs 0.0b (0.3%)

Compiler

Compiled 3725 to 3235 computations (13.2% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64`
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`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	25
1	20	25
2	20	25

end1.0ms (0%)

Compiler: Compiled 17 to 14 computations (17.6% saved)

sample2.7s (60.7%)

Algorithm

1×

intervals

Results

1.5s	4033×	body	1024	valid
426.0ms	1979×	body	512	valid
230.0ms	428×	body	2048	valid
130.0ms	1010×	body	256	valid
34.0ms	550×	body	128	valid

Compiler

Compiled 50 to 47 computations (6% saved)

Details

analyze278.0ms (6.3%)

sample83.0ms (1.9%)

simplify267.0ms (6.1%)

prune3.0ms (0.1%)

localize10.0ms (0.2%)

rewrite159.0ms (3.6%)

series33.0ms (0.8%)

simplify119.0ms (2.7%)

prune237.0ms (5.4%)

localize10.0ms (0.2%)

rewrite88.0ms (2%)

series46.0ms (1%)

simplify80.0ms (1.8%)

prune26.0ms (0.6%)

regimes282.0ms (6.4%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end1.0ms (0%)

sample2.7s (60.7%)

Profiling