Details

analyze621.0ms (8.5%)

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` `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)

sample38.0ms (0.5%)

Algorithm

1×

intervals

Results

9.0ms	183×	body	128	valid
8.0ms	32×	body	2048	valid
3.0ms	11×	body	4096	valid
2.0ms	12×	body	1024	valid
1.0ms	9×	body	512	valid
1.0ms	9×	body	256	valid
1.0ms	16×	body	128	nan
1.0ms	12×	body	128	invalid

Compiler

Compiled 35 to 32 computations (8.6% saved)

simplify323.0ms (4.4%)

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` `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

prune3.0ms (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

29.9b

Counts

2 → 1

Compiler

Compiled 32 to 26 computations (18.8% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
1.0b	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
1.1b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
20.1b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))

rewrite179.0ms (2.5%)

Algorithm

1×	rewrite-expression-head

Error

29.6b

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))
11.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
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 1900 to 1105 computations (41.8% saved)

series204.0ms (2.8%)

Error

6.2b

Counts

4 → 64

Calls

4 calls:

54.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
41.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))
41.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
41.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))

Compiler

Compiled 2314 to 1895 computations (18.1% saved)

simplify117.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

522×	`associate-/r*_binary64`
488×	`associate-/l*_binary64`
340×	`div-sub_binary64`
182×	`distribute-rgt-neg-in_binary64` `distribute-rgt-in_binary64`
178×	`cancel-sign-sub-inv_binary64`
174×	`distribute-lft-in_binary64`
167×	`distribute-lft-neg-in_binary64`
97×	`exp-prod_binary64` `associate-/l/_binary64` `associate-r_binary64`
94×	`associate-/r/_binary64`
92×	`sub-neg_binary64` `associate-l_binary64`
87×	`*-commutative_binary64`
67×	`times-frac_binary64`
61×	`distribute-neg-frac_binary64`
59×	`neg-mul-1_binary64` `neg-sub0_binary64`
52×	`unswap-sqr_binary64`
44×	`sqr-pow_binary64`
42×	`cube-prod_binary64`
41×	`+-commutative_binary64`
31×	`distribute-rgt-out_binary64`
30×	`associate-l/_binary64` `associate-r/_binary64`
26×	`distribute-lft-neg-out_binary64`
25×	`exp-sum_binary64`
20×	`unpow3_binary64`
17×	`distribute-lft-out_binary64`
15×	`exp-diff_binary64`
14×	`cube-mult_binary64`
13×	`unsub-neg_binary64` `distribute-neg-in_binary64` `distribute-rgt-neg-out_binary64` `associate--r+_binary64`
12×	`swap-sqr_binary64` `associate--l+_binary64`
10×	`associate-+l+_binary64`
9×	`cube-unmult_binary64` `difference-of-squares_binary64` `associate-+r-_binary64`
8×	`pow-plus_binary64` `+-rgt-identity_binary64`
7×	`log-div_binary64` `rem-sqrt-square_binary64`
6×	`cube-div_binary64`
5×	`exp-lft-cube_binary64` `associate-+r+_binary64`
4×	`log-prod_binary64` `exp-cbrt_binary64` `pow-sqr_binary64`
3×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `rem-square-sqrt_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`
1×	`1-exp_binary64` `cube-neg_binary64` `rem-3cbrt-lft_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` `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

138 → 112

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	202	2994
1	518	2763
2	1606	2756
3	4705	2756
4	5572	2756

prune82.0ms (1.1%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	101	11	112
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	101	12	113

Error

8.0b

Counts

113 → 12

Compiler

Compiled 1852 to 1063 computations (42.6% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.4b	(/.f64 1/3 a)
1.0b	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
1.1b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
20.1b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))

rewrite92.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

8.0b

Rules

19×	`add-sqr-sqrt_binary64`
16×	`*-un-lft-identity_binary64`
14×	`add-cube-cbrt_binary64`
9×	`times-frac_binary64`
8×	`add-log-exp_binary64`
6×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`pow1_binary64`
4×	`sqrt-prod_binary64` `cancel-sign-sub-inv_binary64`
3×	`flip3--_binary64` `flip--_binary64` `associate-/l_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` `div-exp_binary64` `cbrt-undiv_binary64` `frac-2neg_binary64` `clear-num_binary64` `div-inv_binary64`

Counts

4 → 71

Calls

4 calls:

7.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
4.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))
4.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
3.0ms	(/.f64 1/3 a)

Compiler

Compiled 1691 to 997 computations (41% saved)

series159.0ms (2.2%)

Error

8.0b

Counts

4 → 53

Calls

4 calls:

50.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
43.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))
42.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
7.0ms	(/.f64 1/3 a)

Compiler

Compiled 1862 to 1517 computations (18.5% saved)

simplify91.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

581×	`times-frac_binary64`
558×	`cancel-sign-sub-inv_binary64`
286×	`associate-/r*_binary64`
217×	`*-commutative_binary64`
214×	`unswap-sqr_binary64`
209×	`associate-/l*_binary64`
148×	`sub-neg_binary64`
126×	`neg-mul-1_binary64`
124×	`neg-sub0_binary64` `distribute-rgt-neg-in_binary64`
116×	`distribute-lft-neg-in_binary64`
111×	`sqr-pow_binary64`
82×	`exp-prod_binary64` `associate-*l/_binary64`
76×	`distribute-lft-in_binary64`
75×	`distribute-rgt-in_binary64`
74×	`unsub-neg_binary64`
69×	`associate-*r/_binary64`
65×	`associate-r_binary64`
61×	`+-commutative_binary64`
59×	`associate-l_binary64`
45×	`swap-sqr_binary64`
38×	`associate-/r/_binary64`
37×	`exp-sum_binary64`
35×	`associate-+l+_binary64`
34×	`div-sub_binary64` `associate-+l-_binary64`
32×	`distribute-neg-frac_binary64`
31×	`cube-prod_binary64`
30×	`difference-of-squares_binary64`
29×	`associate-+r-_binary64`
27×	`associate-+r+_binary64`
25×	`distribute-rgt-out_binary64`
24×	`associate-/l/_binary64`
21×	`associate--l+_binary64`
20×	`+-rgt-identity_binary64` `distribute-lft-neg-out_binary64`
19×	`sub0-neg_binary64`
18×	`pow-sqr_binary64`
16×	`unpow3_binary64` `mul0-rgt_binary64` `mul0-lft_binary64`
13×	`exp-diff_binary64` `associate--r+_binary64`
12×	`cube-mult_binary64`
11×	`distribute-lft-out_binary64`
10×	`distribute-rgt-neg-out_binary64`
9×	`pow-plus_binary64` `cube-unmult_binary64`
7×	`log-prod_binary64`
6×	`rem-sqrt-square_binary64`
5×	`exp-lft-cube_binary64`
4×	`*-rgt-identity_binary64` `distribute-neg-in_binary64`
3×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `rem-square-sqrt_binary64` `/-rgt-identity_binary64`
2×	`log-pow_binary64` `log-div_binary64` `div-exp_binary64` `prod-exp_binary64` `cube-div_binary64` `sqr-neg_binary64` `*-lft-identity_binary64` `remove-double-neg_binary64` `associate--l-_binary64`
1×	`1-exp_binary64` `rem-3cbrt-lft_binary64` `--rgt-identity_binary64` `+-inverses_binary64` `cancel-sign-sub_binary64` `distribute-neg-out_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` `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-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `mul-1-neg_binary64` `+-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-frac-neg_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64`

Counts

124 → 83

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	175	1977
1	374	1877
2	1046	1874
3	3752	1874
4	5392	1874

prune56.0ms (0.8%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	80	3	83
Fresh	3	7	10
Picked	0	1	1
Done	0	1	1
Total	83	12	95

Error

8.0b

Counts

95 → 12

Compiler

Compiled 1310 to 786 computations (40% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

1.1b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c)))) b)
1.1b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c)))) b)
20.1b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c))))
20.1b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c))))

rewrite97.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

8.0b

Rules

18×	`add-sqr-sqrt_binary64`
12×	`*-un-lft-identity_binary64`
8×	`add-log-exp_binary64` `add-cube-cbrt_binary64` `sqrt-prod_binary64`
6×	`pow1_binary64` `cancel-sign-sub-inv_binary64`
4×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `flip3--_binary64` `sqrt-div_binary64` `flip--_binary64` `difference-of-squares_binary64`
2×	`pow1/2_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `diff-log_binary64` `sub-neg_binary64` `distribute-lft-out--_binary64`

Counts

4 → 64

Calls

4 calls:

8.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c)))) b)
7.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c)))) b)
4.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c))))
4.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c))))

Compiler

Compiled 2482 to 1287 computations (48.1% saved)

series228.0ms (3.1%)

Error

8.0b

Counts

4 → 64

Calls

4 calls:

53.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c))))
50.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c))))
48.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c)))) b)
48.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c)))) b)

Compiler

Compiled 4478 to 3226 computations (28% saved)

simplify138.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

555×	`associate-l_binary64`
524×	`times-frac_binary64`
514×	`associate-r_binary64`
203×	`associate-/r*_binary64`
202×	`associate-/l*_binary64`
149×	`sub-neg_binary64`
121×	`cancel-sign-sub-inv_binary64`
118×	`distribute-rgt-neg-in_binary64`
115×	`neg-sub0_binary64`
110×	`neg-mul-1_binary64`
109×	`distribute-lft-neg-in_binary64`
78×	`cube-prod_binary64`
70×	`associate-*l/_binary64`
65×	`sqr-pow_binary64`
57×	`associate-*r/_binary64`
51×	`unsub-neg_binary64`
48×	`distribute-rgt-in_binary64` `distribute-lft-in_binary64`
42×	`unpow3_binary64`
37×	`*-commutative_binary64`
35×	`div-sub_binary64` `associate-+l+_binary64`
33×	`cube-mult_binary64` `associate-+l-_binary64`
32×	`distribute-neg-frac_binary64` `+-commutative_binary64`
29×	`associate-/r/_binary64`
28×	`exp-prod_binary64` `associate-+r-_binary64`
27×	`distribute-rgt-out_binary64`
24×	`unswap-sqr_binary64`
21×	`+-rgt-identity_binary64` `associate--l+_binary64`
18×	`sub0-neg_binary64`
15×	`pow-plus_binary64` `exp-sum_binary64`
14×	`distribute-lft-neg-out_binary64`
13×	`associate--r+_binary64`
12×	`cube-unmult_binary64` `mul0-rgt_binary64` `mul0-lft_binary64`
11×	`swap-sqr_binary64`
9×	`difference-of-squares_binary64`
8×	`exp-diff_binary64`
7×	`distribute-rgt-neg-out_binary64`
6×	`rem-sqrt-square_binary64`
5×	`pow-sqr_binary64` `distribute-lft-out_binary64` `associate-/l/_binary64` `associate-+r+_binary64`
4×	`mul-1-neg_binary64` `distribute-neg-in_binary64`
3×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `rem-square-sqrt_binary64`
2×	`remove-double-neg_binary64` `associate--l-_binary64`
1×	`unpow-1_binary64` `div-exp_binary64` `1-exp_binary64` `rem-3cbrt-lft_binary64` `sqr-neg_binary64` `*-lft-identity_binary64` `--rgt-identity_binary64` `+-inverses_binary64` `cancel-sign-sub_binary64` `distribute-neg-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` `log-rec_binary64` `log-div_binary64` `log-prod_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `rec-exp_binary64` `prod-exp_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-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `/-rgt-identity_binary64` `-rgt-identity_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-frac-neg_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64` `count-2_binary64`

Counts

128 → 70

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	110	2552
1	277	2460
2	815	2454
3	4490	2430
4	4895	2430
5	4915	2430

prune56.0ms (0.8%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	70	0	70
Fresh	0	9	9
Picked	0	1	1
Done	0	2	2
Total	70	12	82

Error

8.0b

Counts

82 → 12

Compiler

Compiled 1829 to 1066 computations (41.7% saved)

localize20.0ms (0.3%)

Local error

Found 4 expressions with local error:

1.1b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c)))) b)
20.1b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c))))
20.1b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c))))
20.1b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c))))

rewrite110.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

8.0b

Rules

15×	`add-sqr-sqrt_binary64`
10×	`sqrt-prod_binary64` `*-un-lft-identity_binary64`
8×	`add-cube-cbrt_binary64`
7×	`pow1_binary64`
6×	`add-log-exp_binary64` `sqrt-div_binary64`
4×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `flip3--_binary64` `flip--_binary64`
3×	`pow1/2_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `cancel-sign-sub-inv_binary64`
2×	`difference-of-squares_binary64`
1×	`diff-log_binary64` `sub-neg_binary64` `distribute-lft-out--_binary64`

Counts

4 → 62

Calls

4 calls:

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

Compiler

Compiled 3677 to 2006 computations (45.4% saved)

series315.0ms (4.3%)

Error

8.0b

Counts

4 → 74

Calls

4 calls:

68.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c))))
67.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c))))
67.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c))))
66.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c)))) b)

Compiler

Compiled 8549 to 5694 computations (33.4% saved)

simplify143.0ms (2%)

Algorithm

1×	egg-herbie

Rules

565×	`associate-l_binary64`
525×	`associate-r_binary64`
524×	`times-frac_binary64`
203×	`associate-/r*_binary64`
202×	`associate-/l*_binary64`
151×	`sub-neg_binary64`
127×	`cancel-sign-sub-inv_binary64`
120×	`distribute-rgt-neg-in_binary64`
116×	`neg-sub0_binary64`
111×	`neg-mul-1_binary64`
110×	`distribute-lft-neg-in_binary64`
70×	`associate-*l/_binary64`
65×	`sqr-pow_binary64`
57×	`associate-*r/_binary64`
48×	`distribute-rgt-in_binary64` `distribute-lft-in_binary64`
47×	`unsub-neg_binary64`
43×	`cube-prod_binary64`
42×	`unpow3_binary64`
39×	`associate-+l-_binary64`
38×	`*-commutative_binary64` `+-commutative_binary64`
35×	`div-sub_binary64`
33×	`cube-mult_binary64`
32×	`distribute-neg-frac_binary64`
29×	`associate-/r/_binary64`
28×	`exp-prod_binary64`
27×	`distribute-rgt-out_binary64`
25×	`associate--l+_binary64`
24×	`unswap-sqr_binary64`
22×	`sub0-neg_binary64`
15×	`pow-plus_binary64`
14×	`exp-sum_binary64` `distribute-lft-neg-out_binary64`
13×	`associate--r+_binary64`
12×	`cube-unmult_binary64` `mul0-rgt_binary64` `mul0-lft_binary64`
11×	`swap-sqr_binary64` `associate-+r-_binary64`
10×	`+-rgt-identity_binary64`
9×	`difference-of-squares_binary64` `associate-+l+_binary64`
8×	`exp-diff_binary64`
7×	`distribute-rgt-neg-out_binary64`
6×	`rem-sqrt-square_binary64`
5×	`pow-sqr_binary64` `distribute-lft-out_binary64` `associate-/l/_binary64` `associate-+r+_binary64`
4×	`mul-1-neg_binary64` `distribute-neg-in_binary64`
3×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `rem-square-sqrt_binary64`
2×	`remove-double-neg_binary64` `associate--l-_binary64`
1×	`unpow-1_binary64` `div-exp_binary64` `1-exp_binary64` `rem-3cbrt-lft_binary64` `sqr-neg_binary64` `*-lft-identity_binary64` `--rgt-identity_binary64` `+-inverses_binary64` `cancel-sign-sub_binary64` `distribute-neg-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` `log-rec_binary64` `log-div_binary64` `log-prod_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `rec-exp_binary64` `prod-exp_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-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `/-rgt-identity_binary64` `-rgt-identity_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-frac-neg_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64` `count-2_binary64`

Counts

136 → 70

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	115	2606
1	295	2554
2	849	2551
3	4501	2539
4	4944	2539
5	4923	2539

prune70.0ms (1%)

Pruning

12 alts after pruning (8 fresh and 4 done)

	Pruned	Kept	Total
New	70	0	70
Fresh	0	8	8
Picked	0	1	1
Done	0	3	3
Total	70	12	82

Error

8.0b

Counts

82 → 12

Compiler

Compiled 2982 to 1695 computations (43.2% saved)

regimes2.5s (34.2%)

Accuracy

Total 1.8b remaining (19.6%)

Threshold costs 0b (0%)

Compiler

Compiled 16601 to 12592 computations (24.1% saved)

bsearch94.0ms (1.3%)

Steps

Iters	Range		Point
8	117539508449478.52	8.569265089903883e+16	8215236509114848.0
9	5.3083269500337056e-110	4.34698119028707e-105	5.378674763733228e-110
9	-6.142161270176626e+112	-9.277787768668212e+103	-1.175532362255663e+108

Compiler

Compiled 1 to 3 computations (-200% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

17×	`*-commutative_binary64`
12×	`+-commutative_binary64`
11×	`sub-neg_binary64`
8×	`neg-mul-1_binary64` `neg-sub0_binary64` `distribute-rgt-neg-in_binary64`
7×	`distribute-lft-neg-in_binary64`
4×	`cancel-sign-sub-inv_binary64`
1×	`distribute-neg-frac_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` `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_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-neg-in_binary64` `distribute-rgt-neg-out_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	98
1	63	98
2	89	98
3	109	98
4	121	98
5	125	98
6	124	98

end2.0ms (0%)

Compiler: Compiled 66 to 46 computations (30.3% saved)

sample1.5s (20.8%)

Algorithm

1×

intervals

Results

271.0ms	1091×	body	2048	valid
266.0ms	5252×	body	128	valid
144.0ms	734×	body	1024	valid
119.0ms	374×	body	4096	valid
56.0ms	372×	body	512	valid
32.0ms	672×	body	128	nan
23.0ms	400×	body	128	invalid
20.0ms	177×	body	256	valid

Compiler

Compiled 311 to 249 computations (19.9% saved)

Details

analyze621.0ms (8.5%)

sample38.0ms (0.5%)

simplify323.0ms (4.4%)

prune3.0ms (0%)

localize9.0ms (0.1%)

rewrite179.0ms (2.5%)

series204.0ms (2.8%)

simplify117.0ms (1.6%)

prune82.0ms (1.1%)

localize11.0ms (0.1%)

rewrite92.0ms (1.3%)

series159.0ms (2.2%)

simplify91.0ms (1.3%)

prune56.0ms (0.8%)

localize14.0ms (0.2%)

rewrite97.0ms (1.3%)

series228.0ms (3.1%)

simplify138.0ms (1.9%)

prune56.0ms (0.8%)

localize20.0ms (0.3%)

rewrite110.0ms (1.5%)

series315.0ms (4.3%)

simplify143.0ms (2%)

prune70.0ms (1%)

regimes2.5s (34.2%)

bsearch94.0ms (1.3%)

simplify7.0ms (0.1%)

end2.0ms (0%)

sample1.5s (20.8%)

Profiling