Details

analyze628.0ms (6.4%)

Algorithm

1×	search
2×	egg-herbie

Rules

760×	`div-sub_binary64`
692×	`sub-neg_binary64`
595×	`neg-mul-1_binary64`
552×	`associate-/r*_binary64`
505×	`neg-sub0_binary64`
447×	`distribute-neg-frac_binary64`
324×	`distribute-frac-neg_binary64`
315×	`distribute-rgt-neg-in_binary64`
302×	`distribute-lft-neg-out_binary64`
238×	`distribute-rgt-neg-out_binary64`
227×	`remove-double-neg_binary64`
226×	`associate-/r/_binary64`
220×	`associate-/l*_binary64`
219×	`unsub-neg_binary64`
209×	`associate-*l/_binary64`
189×	`distribute-rgt-in_binary64`
184×	`cancel-sign-sub-inv_binary64`
144×	`times-frac_binary64`
143×	`cancel-sign-sub_binary64`
119×	`associate-/l/_binary64`
111×	`distribute-lft-neg-in_binary64`
109×	`distribute-neg-in_binary64`
106×	`distribute-lft-in_binary64`
89×	`associate--r-_binary64`
84×	`associate--r+_binary64`
66×	`sub0-neg_binary64`
61×	`+-lft-identity_binary64`
60×	`*-commutative_binary64`
56×	`--rgt-identity_binary64` `+-commutative_binary64`
54×	`/-rgt-identity_binary64`
45×	`associate-r_binary64` `associate-+l-_binary64`
44×	`associate-*r/_binary64`
43×	`*-lft-identity_binary64`
40×	`associate-+l+_binary64`
36×	`div0_binary64`
31×	`+-rgt-identity_binary64`
29×	`associate--l-_binary64` `associate-+r-_binary64`
26×	`associate-l_binary64`
18×	`*-rgt-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64`
17×	`associate-+r+_binary64`
6×	`associate--l+_binary64`
3×	`sqr-neg_binary64` `swap-sqr_binary64`
1×	`1-exp_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `log-rec_binary64` `log-div_binary64` `log-prod_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `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` `fabs-div_binary64` `fabs-mul_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `mul-1-neg_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `pow-sqr_binary64` `sqr-pow_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `unswap-sqr_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-rgt-out_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `count-2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	104
1	88	96
2	164	96
3	316	96
4	473	96
5	779	96
6	1371	96
7	2448	96
8	3627	96
9	4406	96
10	4697	96
11	4882	96
12	4930	96
13	4963	96
14	4937	96
0	3	3
1	3	3

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
25%	74.9%	0.1%	5
25%	74.9%	0.1%	6
25%	68.6%	6.4%	7
31.2%	62.4%	6.4%	8
36.7%	54.6%	8.7%	9
38.2%	48.4%	13.4%	10
42.7%	42.3%	15%	11
47.8%	34.1%	18.1%	12
49.1%	30.3%	20.5%	13
51.9%	25.8%	22.3%	14

Compiler

Compiled 18 to 15 computations (16.7% saved)

sample40.0ms (0.4%)

Algorithm

1×

intervals

Results

9.0ms	37×	body	2048	valid
8.0ms	168×	body	128	valid
4.0ms	14×	body	4096	valid
3.0ms	16×	body	1024	valid
1.0ms	9×	body	512	valid
1.0ms	12×	body	256	valid
1.0ms	15×	body	128	invalid
1.0ms	15×	body	128	nan

Compiler

Compiled 35 to 32 computations (8.6% saved)

simplify326.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

904×	`div-sub_binary64`
743×	`associate-/l*_binary64`
567×	`times-frac_binary64`
521×	`associate-/l/_binary64`
427×	`associate-/r/_binary64`
390×	`sub-neg_binary64`
318×	`distribute-rgt-in_binary64`
273×	`cancel-sign-sub-inv_binary64`
256×	`distribute-neg-frac_binary64`
247×	`distribute-lft-in_binary64`
214×	`distribute-rgt-neg-in_binary64`
199×	`unsub-neg_binary64`
187×	`associate-/r*_binary64`
179×	`distribute-lft-neg-in_binary64`
116×	`neg-mul-1_binary64`
113×	`associate-*l/_binary64`
98×	`*-commutative_binary64`
82×	`distribute-lft-neg-out_binary64`
74×	`neg-sub0_binary64` `distribute-frac-neg_binary64`
67×	`distribute-rgt-neg-out_binary64`
58×	`associate-r_binary64`
55×	`+-commutative_binary64`
54×	`associate--r+_binary64`
49×	`div0_binary64` `associate-l_binary64`
48×	`mul0-rgt_binary64`
45×	`associate-*r/_binary64`
44×	`mul0-lft_binary64`
42×	`remove-double-div_binary64`
38×	`associate--r-_binary64`
30×	`+-lft-identity_binary64`
26×	`distribute-neg-in_binary64` `associate--l-_binary64`
23×	`cancel-sign-sub_binary64`
22×	`/-rgt-identity_binary64` `remove-double-neg_binary64`
19×	`sub0-neg_binary64`
17×	`*-lft-identity_binary64`
14×	`associate-+l-_binary64` `associate-+r-_binary64` `associate-+l+_binary64`
10×	`*-rgt-identity_binary64` `distribute-rgt-out--_binary64` `distribute-rgt-out_binary64` `associate--l+_binary64`
8×	`distribute-neg-out_binary64`
7×	`--rgt-identity_binary64` `associate-+r+_binary64`
6×	`mul-1-neg_binary64`
5×	`+-rgt-identity_binary64`
4×	`distribute-lft-out_binary64`
2×	`distribute-lft-out--_binary64`
1×	`1-exp_binary64` `swap-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-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` `fabs-div_binary64` `fabs-mul_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `pow-sqr_binary64` `sqr-pow_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `unswap-sqr_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `count-2_binary64`

Counts

1 → 1

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	26
1	29	24
2	62	24
3	125	24
4	175	24
5	284	24
6	456	24
7	759	24
8	1186	24
9	1635	24
10	1913	24
11	1868	24
12	1916	24
13	1985	24
14	2029	24
15	1597	24
16	1589	24
17	1581	24
18	1585	24
19	1587	24
20	1587	24
21	1801	24
22	1901	24
23	1835	24
24	1843	24
25	1865	24
26	1877	24
27	1883	24
28	1883	24
29	1927	24
30	1983	24
31	1935	24
32	1935	24
33	1746	24

prune4.0ms (0%)

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

32.3b

Counts

2 → 1

Compiler

Compiled 32 to 26 computations (18.8% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.4b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
0.6b	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
1.7b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
21.3b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))

rewrite168.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

31.9b

Rules

21×	`add-sqr-sqrt_binary64`
14×	`*-un-lft-identity_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`add-log-exp_binary64` `add-cube-cbrt_binary64`
6×	`sqrt-prod_binary64` `difference-of-squares_binary64` `times-frac_binary64` `associate-/l*_binary64`
5×	`pow1_binary64`
4×	`flip3--_binary64` `flip--_binary64` `cancel-sign-sub-inv_binary64`
3×	`distribute-lft-out--_binary64`
2×	`sqrt-div_binary64` `diff-log_binary64` `sub-neg_binary64` `div-exp_binary64` `cbrt-undiv_binary64` `associate-/l/_binary64`
1×	`pow1/2_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `frac-2neg_binary64` `div-sub_binary64` `clear-num_binary64` `div-inv_binary64` `associate-/r*_binary64`

Counts

4 → 74

Calls

4 calls:

11.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
9.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
7.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
4.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))

Compiler

Compiled 1900 to 1105 computations (41.8% saved)

series212.0ms (2.2%)

Error

5.0b

Counts

4 → 62

Calls

4 calls:

66.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
42.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
40.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
38.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))

Compiler

Compiled 2191 to 1789 computations (18.3% saved)

simplify123.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

588×	`times-frac_binary64`
414×	`associate-/l*_binary64`
351×	`associate-/r*_binary64`
316×	`div-sub_binary64`
177×	`distribute-rgt-in_binary64`
171×	`distribute-lft-in_binary64`
153×	`distribute-rgt-neg-in_binary64`
149×	`cancel-sign-sub-inv_binary64`
135×	`distribute-lft-neg-in_binary64`
105×	`exp-prod_binary64`
93×	`associate-r_binary64`
91×	`associate-l_binary64`
90×	`associate-/l/_binary64`
88×	`sub-neg_binary64`
87×	`*-commutative_binary64`
85×	`associate-/r/_binary64`
54×	`neg-mul-1_binary64` `neg-sub0_binary64`
45×	`unswap-sqr_binary64`
44×	`+-commutative_binary64`
42×	`cube-prod_binary64`
40×	`sqr-pow_binary64`
36×	`distribute-neg-frac_binary64`
31×	`distribute-rgt-out_binary64`
30×	`associate-*l/_binary64`
29×	`associate-*r/_binary64`
25×	`distribute-lft-neg-out_binary64`
23×	`exp-sum_binary64`
19×	`unpow3_binary64`
17×	`distribute-lft-out_binary64`
15×	`exp-diff_binary64`
12×	`cube-mult_binary64` `swap-sqr_binary64` `distribute-rgt-neg-out_binary64`
11×	`associate--l+_binary64`
10×	`associate-+r-_binary64`
9×	`pow-plus_binary64` `cube-unmult_binary64` `+-rgt-identity_binary64` `distribute-neg-in_binary64`
8×	`unsub-neg_binary64` `difference-of-squares_binary64` `associate-+l+_binary64`
7×	`log-div_binary64`
6×	`rem-sqrt-square_binary64`
5×	`exp-lft-cube_binary64` `cube-div_binary64` `associate--r+_binary64` `associate-+r+_binary64`
4×	`log-prod_binary64` `exp-cbrt_binary64` `pow-sqr_binary64`
3×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `mul-1-neg_binary64` `distribute-lft-out--_binary64` `associate-+l-_binary64`
2×	`log-pow_binary64` `div-exp_binary64` `prod-exp_binary64` `sqr-neg_binary64` `rem-square-sqrt_binary64`
1×	`1-exp_binary64` `cube-neg_binary64` `rem-3cbrt-lft_binary64` `fabs-mul_binary64` `remove-double-neg_binary64` `*-inverses_binary64` `cancel-sign-sub_binary64` `distribute-neg-out_binary64` `count-2_binary64` `associate--r-_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` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-sqr_binary64` `exp-sqrt_binary64` `rec-exp_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `fabs-div_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `sub0-neg_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` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `distribute-frac-neg_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64`

Counts

136 → 109

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	200	2848
1	511	2611
2	1518	2604
3	4705	2604
4	5538	2604

prune89.0ms (0.9%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	95	14	109
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	96	14	110

Error

7.1b

Counts

110 → 14

Compiler

Compiled 1859 to 1065 computations (42.7% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.4b	(.f64 (.f64 3 a) c)
0.6b	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
1.7b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
21.3b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))

rewrite88.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

7.1b

Rules

12×	`add-sqr-sqrt_binary64`
10×	`pow1_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `*-un-lft-identity_binary64`
8×	`add-log-exp_binary64`
7×	`add-cube-cbrt_binary64`
4×	`sqrt-prod_binary64` `cancel-sign-sub-inv_binary64`
3×	`flip3--_binary64` `flip--_binary64` `pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `associate-r_binary64`
2×	`sqrt-div_binary64` `diff-log_binary64` `sub-neg_binary64` `difference-of-squares_binary64`
1×	`pow1/2_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `distribute-lft-out--_binary64` `associate-l_binary64` `*-commutative_binary64`

Counts

4 → 62

Calls

4 calls:

7.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
5.0ms	(.f64 (.f64 3 a) c)
4.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
4.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))

Compiler

Compiled 1467 to 856 computations (41.6% saved)

series159.0ms (1.6%)

Error

7.1b

Counts

4 → 52

Calls

4 calls:

44.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
40.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))
39.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
19.0ms	(.f64 (.f64 3 a) c)

Compiler

Compiled 1741 to 1420 computations (18.4% saved)

simplify113.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

408×	`distribute-rgt-neg-in_binary64`
382×	`distribute-lft-neg-in_binary64`
353×	`distribute-rgt-in_binary64`
314×	`cancel-sign-sub-inv_binary64`
294×	`*-commutative_binary64`
209×	`times-frac_binary64`
206×	`unswap-sqr_binary64`
156×	`exp-prod_binary64`
124×	`associate-l_binary64`
118×	`associate-/l*_binary64`
112×	`sqr-pow_binary64`
111×	`sub-neg_binary64`
105×	`associate-r_binary64`
97×	`neg-mul-1_binary64`
95×	`neg-sub0_binary64`
92×	`associate-/r*_binary64`
78×	`cube-prod_binary64`
71×	`distribute-lft-in_binary64`
61×	`unsub-neg_binary64` `+-commutative_binary64`
58×	`swap-sqr_binary64`
53×	`exp-sum_binary64`
45×	`distribute-lft-neg-out_binary64`
42×	`distribute-rgt-out_binary64`
39×	`log-prod_binary64`
36×	`associate-+l+_binary64`
34×	`distribute-rgt-neg-out_binary64`
31×	`associate-+r+_binary64`
29×	`difference-of-squares_binary64`
27×	`associate-*l/_binary64`
25×	`exp-diff_binary64` `associate-/r/_binary64`
24×	`unpow3_binary64` `distribute-neg-frac_binary64` `associate-+l-_binary64` `associate-+r-_binary64`
22×	`associate-*r/_binary64`
20×	`pow-sqr_binary64`
17×	`+-rgt-identity_binary64`
16×	`cube-unmult_binary64`
15×	`sub0-neg_binary64`
14×	`pow-plus_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `distribute-lft-out_binary64`
12×	`distribute-neg-in_binary64`
11×	`cube-mult_binary64` `associate--l+_binary64`
8×	`/-rgt-identity_binary64`
7×	`prod-exp_binary64` `div-sub_binary64` `-rgt-identity_binary64` `-lft-identity_binary64`
6×	`log-pow_binary64` `unpow1/2_binary64` `exp-lft-cube_binary64` `distribute-rgt-out--_binary64`
5×	`rem-sqrt-square_binary64` `associate-/l/_binary64`
4×	`unpow2_binary64`
3×	`unpow1_binary64` `cube-div_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `associate--r+_binary64`
2×	`div-exp_binary64` `fabs-mul_binary64` `sqr-neg_binary64` `rem-square-sqrt_binary64` `remove-double-neg_binary64` `associate--l-_binary64`
1×	`1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-lft_binary64` `--rgt-identity_binary64` `+-inverses_binary64` `cancel-sign-sub_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `count-2_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-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` `fabs-div_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `mul-1-neg_binary64` `+-lft-identity_binary64` `div0_binary64` `*-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `distribute-lft-out--_binary64`

Counts

114 → 82

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	150	1694
1	343	1612
2	1020	1609
3	2727	1603
4	4788	1603
5	4887	1603

prune62.0ms (0.6%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	78	4	82
Fresh	0	13	13
Picked	1	0	1
Done	0	0	0
Total	79	17	96

Error

6.9b

Counts

96 → 17

Compiler

Compiled 1368 to 830 computations (39.3% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(-.f64 (.f64 b b) (.f64 3 (*.f64 a c)))
4.0b	(.f64 (/.f64 (.f64 a (.f64 c -3)) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 a c)))))) (/.f64 1/3 a))
8.4b	(/.f64 (.f64 a (.f64 c -3)) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c))))))
21.3b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c))))

rewrite178.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

5.9b

Rules

45×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
22×	`add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
18×	`times-frac_binary64`
17×	`prod-exp_binary64` `cbrt-unprod_binary64`
16×	`add-cube-cbrt_binary64`
13×	`div-exp_binary64` `cbrt-undiv_binary64` `associate-r_binary64`
10×	`associate-l_binary64`
7×	`pow1_binary64`
6×	`add-log-exp_binary64`
4×	`associate-/r/_binary64` `associate-/r*_binary64`
3×	`sqrt-prod_binary64` `distribute-lft-out_binary64` `div-inv_binary64`
2×	`flip3--_binary64` `sqrt-div_binary64` `flip--_binary64` `flip3-+_binary64` `flip-+_binary64` `unswap-sqr_binary64`
1×	`pow1/2_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `frac-2neg_binary64` `clear-num_binary64` `associate-/l_binary64` `pow-prod-down_binary64` `frac-times_binary64` `associate-l/_binary64` `associate-r/_binary64` `-commutative_binary64` `diff-log_binary64` `sub-neg_binary64` `cancel-sign-sub-inv_binary64`

Counts

4 → 107

Calls

4 calls:

20.0ms	(.f64 (/.f64 (.f64 a (.f64 c -3)) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 a c)))))) (/.f64 1/3 a))
11.0ms	(/.f64 (.f64 a (.f64 c -3)) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c))))))
4.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c))))
4.0ms	(-.f64 (.f64 b b) (.f64 3 (*.f64 a c)))

Compiler

Compiled 3786 to 2091 computations (44.8% saved)

series246.0ms (2.5%)

Error

6.9b

Counts

4 → 60

Calls

4 calls:

68.0ms	(/.f64 (.f64 a (.f64 c -3)) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c))))))
67.0ms	(.f64 (/.f64 (.f64 a (.f64 c -3)) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 a c)))))) (/.f64 1/3 a))
46.0ms	(-.f64 (.f64 b b) (.f64 3 (*.f64 a c)))
41.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c))))

Compiler

Compiled 2681 to 2056 computations (23.3% saved)

simplify167.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

319×	`associate-l_binary64`
241×	`associate-/l*_binary64`
219×	`associate-r_binary64`
218×	`associate-*l/_binary64`
189×	`associate-*r/_binary64`
176×	`cancel-sign-sub-inv_binary64` `*-commutative_binary64`
165×	`log-prod_binary64`
140×	`times-frac_binary64`
137×	`distribute-rgt-neg-out_binary64`
126×	`distribute-frac-neg_binary64`
113×	`log-div_binary64`
106×	`div-sub_binary64`
104×	`cube-div_binary64`
103×	`exp-prod_binary64`
95×	`associate-/r*_binary64`
87×	`sub-neg_binary64`
83×	`unswap-sqr_binary64`
74×	`neg-sub0_binary64`
59×	`associate-/l/_binary64`
53×	`neg-mul-1_binary64`
49×	`unpow3_binary64` `cube-prod_binary64` `sqr-pow_binary64`
48×	`swap-sqr_binary64`
46×	`distribute-neg-frac_binary64`
45×	`associate-/r/_binary64`
44×	`cube-mult_binary64`
43×	`*-rgt-identity_binary64` `+-commutative_binary64`
34×	`exp-sum_binary64`
33×	`distribute-rgt-neg-in_binary64`
28×	`distribute-rgt-in_binary64`
27×	`distribute-lft-neg-in_binary64`
22×	`distribute-lft-in_binary64`
19×	`distribute-lft-neg-out_binary64`
18×	`*-lft-identity_binary64`
17×	`exp-diff_binary64`
16×	`associate--l+_binary64`
13×	`cube-unmult_binary64` `unsub-neg_binary64` `associate-+l+_binary64`
11×	`exp-neg_binary64`
10×	`pow-plus_binary64` `distribute-neg-in_binary64` `associate-+l-_binary64`
9×	`div0_binary64`
8×	`/-rgt-identity_binary64`
7×	`log-rec_binary64` `difference-of-squares_binary64` `associate-+r-_binary64` `associate-+r+_binary64`
6×	`log-pow_binary64` `sqr-neg_binary64` `pow-sqr_binary64`
5×	`unpow1/2_binary64` `mul-1-neg_binary64` `cancel-sign-sub_binary64` `associate--r+_binary64`
4×	`unpow2_binary64` `unpow1_binary64` `exp-lft-cube_binary64` `rem-sqrt-square_binary64` `remove-double-neg_binary64`
3×	`cube-neg_binary64` `distribute-rgt-out_binary64`
2×	`rem-square-sqrt_binary64` `associate--r-_binary64`
1×	`div-exp_binary64` `prod-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `+-rgt-identity_binary64` `+-inverses_binary64` `distribute-neg-out_binary64` `distribute-rgt-out--_binary64` `distribute-lft-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` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `rec-exp_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `fabs-div_binary64` `fabs-mul_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `*-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-lft-out_binary64` `count-2_binary64`

Counts

167 → 127

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	271	4932
1	755	3907
2	3156	3893
3	4597	3893
4	4957	3893

prune100.0ms (1%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	121	6	127
Fresh	6	10	16
Picked	1	0	1
Done	0	0	0
Total	128	16	144

Error

5.8b

Counts

144 → 16

Compiler

Compiled 2393 to 1374 computations (42.6% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c)))))
0.6b	(-.f64 (.f64 b b) (.f64 3 (*.f64 a c)))
14.3b	(/.f64 (neg.f64 (*.f64 a c)) a)
21.3b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c))))

rewrite108.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

5.8b

Rules

18×	`*-un-lft-identity_binary64` `times-frac_binary64`
17×	`add-sqr-sqrt_binary64`
16×	`add-cube-cbrt_binary64`
8×	`add-log-exp_binary64`
6×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-/l*_binary64`
5×	`pow1_binary64`
4×	`neg-mul-1_binary64` `distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64`
3×	`sqrt-prod_binary64` `associate-/r*_binary64`
2×	`flip3--_binary64` `sqrt-div_binary64` `flip--_binary64`
1×	`pow1/2_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `div-exp_binary64` `cbrt-undiv_binary64` `frac-2neg_binary64` `neg-sub0_binary64` `div-sub_binary64` `clear-num_binary64` `div-inv_binary64` `distribute-frac-neg_binary64` `diff-log_binary64` `sub-neg_binary64` `cancel-sign-sub-inv_binary64` `sum-log_binary64` `flip3-+_binary64` `flip-+_binary64` `distribute-lft-out_binary64` `+-commutative_binary64`

Counts

4 → 80

Calls

4 calls:

6.0ms	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c)))))
4.0ms	(-.f64 (.f64 b b) (.f64 3 (*.f64 a c)))
4.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c))))
4.0ms	(/.f64 (neg.f64 (*.f64 a c)) a)

Compiler

Compiled 2151 to 820 computations (61.9% saved)

series156.0ms (1.6%)

Error

5.6b

Counts

4 → 54

Calls

4 calls:

44.0ms	(-.f64 (.f64 b b) (.f64 3 (*.f64 a c)))
40.0ms	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c)))))
38.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c))))
13.0ms	(/.f64 (neg.f64 (*.f64 a c)) a)

Compiler

Compiled 2076 to 1460 computations (29.7% saved)

simplify115.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

658×	`div-sub_binary64`
568×	`associate-/l*_binary64`
322×	`associate-/r*_binary64`
247×	`associate-*l/_binary64`
208×	`associate-/r/_binary64`
201×	`associate-*r/_binary64`
181×	`associate-/l/_binary64`
140×	`cube-div_binary64` `cancel-sign-sub-inv_binary64`
138×	`distribute-rgt-in_binary64`
127×	`distribute-lft-in_binary64`
126×	`cube-prod_binary64`
125×	`log-div_binary64` `distribute-rgt-neg-out_binary64`
116×	`distribute-rgt-neg-in_binary64`
104×	`distribute-lft-neg-in_binary64`
101×	`exp-prod_binary64`
100×	`distribute-lft-neg-out_binary64`
87×	`log-prod_binary64`
80×	`associate-r_binary64`
70×	`associate-l_binary64`
63×	`sub-neg_binary64`
61×	`distribute-frac-neg_binary64`
59×	`neg-sub0_binary64`
54×	`neg-mul-1_binary64`
42×	`*-commutative_binary64`
39×	`unswap-sqr_binary64`
38×	`sqr-pow_binary64`
34×	`distribute-neg-frac_binary64`
33×	`times-frac_binary64`
30×	`exp-sum_binary64` `distribute-rgt-out_binary64`
28×	`+-commutative_binary64`
25×	`unpow3_binary64`
20×	`cube-mult_binary64`
19×	`swap-sqr_binary64`
14×	`*-rgt-identity_binary64`
12×	`exp-diff_binary64`
11×	`unsub-neg_binary64`
10×	`log-rec_binary64` `cube-unmult_binary64`
8×	`pow-plus_binary64` `remove-double-neg_binary64`
7×	`/-rgt-identity_binary64` `difference-of-squares_binary64`
6×	`sqr-neg_binary64` `associate-+l+_binary64`
5×	`rem-sqrt-square_binary64` `div0_binary64` `distribute-lft-out_binary64` `associate-+r+_binary64`
4×	`log-pow_binary64` `exp-lft-cube_binary64` `cube-neg_binary64` `pow-sqr_binary64` `distribute-neg-in_binary64`
3×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `exp-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt-out--_binary64` `associate--l+_binary64` `associate-+r-_binary64`
2×	`prod-exp_binary64` `*-lft-identity_binary64` `cancel-sign-sub_binary64` `count-2_binary64` `associate-+l-_binary64`
1×	`div-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `fabs-mul_binary64` `rem-square-sqrt_binary64` `mul-1-neg_binary64` `sub0-neg_binary64` `+-rgt-identity_binary64` `*-inverses_binary64` `+-inverses_binary64` `distribute-lft-out--_binary64` `associate--r-_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` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `rec-exp_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `fabs-div_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64`

Counts

134 → 88

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	172	2057
1	388	1889
2	1231	1831
3	4175	1831
4	5927	1831

prune58.0ms (0.6%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	84	4	88
Fresh	4	11	15
Picked	1	0	1
Done	0	0	0
Total	89	15	104

Error

5.6b

Counts

104 → 15

Compiler

Compiled 1281 to 508 computations (60.3% saved)

regimes5.0s (50.6%)

Accuracy

Total 0.0b remaining (0.3%)

Threshold costs 0.0b (0.3%)

Compiler

Compiled 30699 to 23058 computations (24.9% saved)

bsearch76.0ms (0.8%)

Steps

Iters	Range	Point
3	6.735259718358967e+133	2.1489111744106284e+138	2.4581016233270703e+134
8	-8.546073650199044e-175	-7.327499807213756e-179	-7.490208502750257e-179
8	-1.1439299782083669e+148	-3.7065458269056935e+145	-5.027360149222957e+147

Iters

Range

Point

6.735259718358967e+133

2.1489111744106284e+138

2.4581016233270703e+134

-8.546073650199044e-175

-7.327499807213756e-179

-7.490208502750257e-179

-1.1439299782083669e+148

-3.7065458269056935e+145

-5.027360149222957e+147

Compiler

Compiled 1 to 3 computations (-200% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

15×	`*-commutative_binary64`
13×	`+-commutative_binary64`
12×	`sub-neg_binary64`
9×	`neg-sub0_binary64`
8×	`neg-mul-1_binary64` `distribute-rgt-neg-in_binary64`
7×	`distribute-lft-neg-in_binary64`
4×	`cancel-sign-sub-inv_binary64`
1×	`mul-1-neg_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-lft-neg-out_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `unpow1_binary64` `e-exp-1_binary64` `1-exp_binary64` `exp-1-e_binary64` `exp-0_binary64` `fabs-div_binary64` `fabs-mul_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `unsub-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_binary64` `distribute-neg-out_binary64` `distribute-neg-in_binary64` `distribute-rgt-neg-out_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	85
1	59	85
2	86	85
3	107	85
4	120	85
5	124	85
6	123	85

end1.0ms (0%)

Compiler: Compiled 57 to 39 computations (31.6% saved)

sample1.6s (16.1%)

Algorithm

1×

intervals

Results

284.0ms	5224×	body	128	valid
276.0ms	1110×	body	2048	valid
140.0ms	718×	body	1024	valid
129.0ms	417×	body	4096	valid
53.0ms	369×	body	512	valid
32.0ms	663×	body	128	nan
21.0ms	162×	body	256	valid
18.0ms	347×	body	128	invalid

Compiler

Compiled 313 to 258 computations (17.6% saved)

Details

analyze628.0ms (6.4%)

sample40.0ms (0.4%)

simplify326.0ms (3.3%)

prune4.0ms (0%)

localize10.0ms (0.1%)

rewrite168.0ms (1.7%)

series212.0ms (2.2%)

simplify123.0ms (1.3%)

prune89.0ms (0.9%)

localize11.0ms (0.1%)

rewrite88.0ms (0.9%)

series159.0ms (1.6%)

simplify113.0ms (1.2%)

prune62.0ms (0.6%)

localize15.0ms (0.2%)

rewrite178.0ms (1.8%)

series246.0ms (2.5%)

simplify167.0ms (1.7%)

prune100.0ms (1%)

localize15.0ms (0.2%)

rewrite108.0ms (1.1%)

series156.0ms (1.6%)

simplify115.0ms (1.2%)

prune58.0ms (0.6%)

regimes5.0s (50.6%)

bsearch76.0ms (0.8%)

simplify8.0ms (0.1%)

end1.0ms (0%)

sample1.6s (16.1%)

Profiling