Details

analyze551.0ms (2.7%)

Algorithm

1×	search
2×	egg-herbie

Rules

760×	`div-sub_binary64_4857`
692×	`sub-neg_binary64_4845`
595×	`neg-mul-1_binary64_4848`
552×	`associate-/r*_binary64_4796`
505×	`neg-sub0_binary64_4847`
447×	`distribute-neg-frac_binary64_4816`
324×	`distribute-frac-neg_binary64_4815`
315×	`distribute-rgt-neg-in_binary64_4810`
302×	`distribute-lft-neg-out_binary64_4811`
238×	`distribute-rgt-neg-out_binary64_4812`
227×	`remove-double-neg_binary64_4840`
226×	`associate-/r/_binary64_4798`
220×	`associate-/l*_binary64_4797`
219×	`unsub-neg_binary64_4846`
209×	`associate-*l/_binary64_4795`
189×	`distribute-rgt-in_binary64_4802`
184×	`cancel-sign-sub-inv_binary64_4818`
144×	`times-frac_binary64_4858`
143×	`cancel-sign-sub_binary64_4817`
119×	`associate-/l/_binary64_4799`
111×	`distribute-lft-neg-in_binary64_4809`
109×	`distribute-neg-in_binary64_4813`
106×	`distribute-lft-in_binary64_4801`
89×	`associate--r-_binary64_4791`
84×	`associate--r+_binary64_4788`
66×	`sub0-neg_binary64_4839`
61×	`+-lft-identity_binary64_4836`
60×	`*-commutative_binary64_4783`
56×	`--rgt-identity_binary64_4838` `+-commutative_binary64_4782`
54×	`/-rgt-identity_binary64_4843`
45×	`associate-r_binary64_4792` `associate-+l-_binary64_4787`
44×	`associate-*r/_binary64_4794`
43×	`*-lft-identity_binary64_4841`
40×	`associate-+l+_binary64_4785`
36×	`div0_binary64_4833`
31×	`+-rgt-identity_binary64_4837`
29×	`associate--l-_binary64_4790` `associate-+r-_binary64_4786`
26×	`associate-l_binary64_4793`
18×	`*-rgt-identity_binary64_4842` `mul0-rgt_binary64_4835` `mul0-lft_binary64_4834`
17×	`associate-+r+_binary64_4784`
6×	`associate--l+_binary64_4789`
3×	`sqr-neg_binary64_4866` `swap-sqr_binary64_4819`
1×	`1-exp_binary64_4896`
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_5115` `erf-erfc_binary64_5114` `erf-odd_binary64_5113` `if-if-and-not_binary64_5112` `if-if-and_binary64_5111` `if-if-or-not_binary64_5110` `if-if-or_binary64_5109` `if-not_binary64_5108` `if-same_binary64_5107` `if-false_binary64_5106` `if-true_binary64_5105` `not-gte_binary64_5104` `not-lte_binary64_5103` `not-gt_binary64_5102` `not-lt_binary64_5101` `gte-same_binary64_5100` `lte-same_binary64_5099` `gt-same_binary64_5098` `lt-same_binary64_5097` `sinh---cosh_binary64_5044` `sinh-+-cosh_binary64_5043` `sinh-cosh_binary64_5042` `tanh-def-c_binary64_5041` `tanh-def-b_binary64_5040` `tanh-def-a_binary64_5039` `cosh-def_binary64_5038` `sinh-def_binary64_5037` `tan-neg_binary64_4984` `cos-neg_binary64_4983` `sin-neg_binary64_4982` `tan-0_binary64_4981` `cos-0_binary64_4980` `sin-0_binary64_4979` `hang-m-tan_binary64_4978` `hang-p-tan_binary64_4977` `hang-m0-tan_binary64_4976` `hang-p0-tan_binary64_4975` `hang-0m-tan_binary64_4974` `hang-0p-tan_binary64_4973` `tan-+PI/2_binary64_4972` `tan-+PI_binary64_4971` `tan-PI_binary64_4970` `tan-PI/3_binary64_4969` `tan-PI/4_binary64_4968` `tan-PI/6_binary64_4967` `cos-+PI/2_binary64_4966` `cos-+PI_binary64_4965` `cos-PI_binary64_4964` `cos-PI/2_binary64_4963` `cos-PI/3_binary64_4962` `cos-PI/4_binary64_4961` `cos-PI/6_binary64_4960` `sin-+PI/2_binary64_4959` `sin-+PI_binary64_4958` `sin-PI_binary64_4957` `sin-PI/2_binary64_4956` `sin-PI/3_binary64_4955` `sin-PI/4_binary64_4954` `sin-PI/6_binary64_4953` `sub-1-sin_binary64_4952` `sub-1-cos_binary64_4951` `-1-add-sin_binary64_4950` `-1-add-cos_binary64_4949` `1-sub-sin_binary64_4948` `1-sub-cos_binary64_4947` `cos-sin-sum_binary64_4946` `log-E_binary64_4942` `log-pow_binary64_4941` `log-rec_binary64_4940` `log-div_binary64_4939` `log-prod_binary64_4938` `pow-base-0_binary64_4936` `unpow1/3_binary64_4919` `unpow3_binary64_4918` `unpow2_binary64_4917` `unpow1/2_binary64_4916` `pow-plus_binary64_4915` `exp-to-pow_binary64_4914` `pow-base-1_binary64_4912` `unpow0_binary64_4911` `unpow1_binary64_4910` `unpow-1_binary64_4909` `exp-lft-cube_binary64_4908` `exp-lft-sqr_binary64_4907` `exp-cbrt_binary64_4906` `exp-sqrt_binary64_4905` `exp-prod_binary64_4904` `div-exp_binary64_4903` `rec-exp_binary64_4902` `prod-exp_binary64_4901` `exp-diff_binary64_4900` `exp-neg_binary64_4899` `exp-sum_binary64_4898` `e-exp-1_binary64_4897` `exp-1-e_binary64_4895` `exp-0_binary64_4894` `rem-log-exp_binary64_4893` `rem-exp-log_binary64_4892` `cube-unmult_binary64_4889` `cube-mult_binary64_4882` `cube-div_binary64_4881` `cube-prod_binary64_4880` `cube-neg_binary64_4879` `rem-3cbrt-rft_binary64_4878` `rem-3cbrt-lft_binary64_4877` `rem-cbrt-cube_binary64_4876` `rem-cube-cbrt_binary64_4875` `sqr-abs_binary64_4867` `rem-sqrt-square_binary64_4865` `rem-square-sqrt_binary64_4864` `mul-1-neg_binary64_4844` `*-inverses_binary64_4832` `+-inverses_binary64_4831` `lft-mult-inverse_binary64_4830` `rgt-mult-inverse_binary64_4829` `remove-double-div_binary64_4828` `pow-sqr_binary64_4825` `sqr-pow_binary64_4824` `difference-of-sqr--1_binary64_4823` `difference-of-sqr-1_binary64_4822` `difference-of-squares_binary64_4821` `unswap-sqr_binary64_4820` `distribute-neg-out_binary64_4814` `distribute-rgt1-in_binary64_4808` `distribute-lft1-in_binary64_4807` `distribute-rgt-out--_binary64_4806` `distribute-rgt-out_binary64_4805` `distribute-lft-out--_binary64_4804` `distribute-lft-out_binary64_4803` `count-2_binary64_4800`

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%	0%	100%	0
0%	0%	100%	1
0%	0%	100%	2
0%	0%	100%	3
0%	0%	100%	4
0%	0%	100%	5
0%	0%	100%	6
0%	0%	100%	7
0%	0%	100%	8
0%	0%	100%	9
0%	0%	100%	10
0%	0%	100%	11
0%	0%	100%	12
0%	0%	100%	13
0%	0%	100%	14

Compiler

Compiled 30 to 24 computations (20% saved)

sample35.0ms (0.2%)

Algorithm

1×

intervals

Results

11.0ms	248×	body	128	valid
8.0ms	281×	pre	128	true
1.0ms	25×	body	128	nan
1.0ms	8×	body	256	valid

Compiler

Compiled 47 to 41 computations (12.8% saved)

simplify317.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

904×	`div-sub_binary64_4857`
743×	`associate-/l*_binary64_4797`
567×	`times-frac_binary64_4858`
521×	`associate-/l/_binary64_4799`
427×	`associate-/r/_binary64_4798`
390×	`sub-neg_binary64_4845`
318×	`distribute-rgt-in_binary64_4802`
273×	`cancel-sign-sub-inv_binary64_4818`
256×	`distribute-neg-frac_binary64_4816`
247×	`distribute-lft-in_binary64_4801`
214×	`distribute-rgt-neg-in_binary64_4810`
199×	`unsub-neg_binary64_4846`
187×	`associate-/r*_binary64_4796`
179×	`distribute-lft-neg-in_binary64_4809`
116×	`neg-mul-1_binary64_4848`
113×	`associate-*l/_binary64_4795`
98×	`*-commutative_binary64_4783`
82×	`distribute-lft-neg-out_binary64_4811`
74×	`neg-sub0_binary64_4847` `distribute-frac-neg_binary64_4815`
67×	`distribute-rgt-neg-out_binary64_4812`
58×	`associate-r_binary64_4792`
55×	`+-commutative_binary64_4782`
54×	`associate--r+_binary64_4788`
49×	`div0_binary64_4833` `associate-l_binary64_4793`
48×	`mul0-rgt_binary64_4835`
45×	`associate-*r/_binary64_4794`
44×	`mul0-lft_binary64_4834`
42×	`remove-double-div_binary64_4828`
38×	`associate--r-_binary64_4791`
30×	`+-lft-identity_binary64_4836`
26×	`distribute-neg-in_binary64_4813` `associate--l-_binary64_4790`
23×	`cancel-sign-sub_binary64_4817`
22×	`/-rgt-identity_binary64_4843` `remove-double-neg_binary64_4840`
19×	`sub0-neg_binary64_4839`
17×	`*-lft-identity_binary64_4841`
14×	`associate-+l-_binary64_4787` `associate-+r-_binary64_4786` `associate-+l+_binary64_4785`
10×	`*-rgt-identity_binary64_4842` `distribute-rgt-out--_binary64_4806` `distribute-rgt-out_binary64_4805` `associate--l+_binary64_4789`
8×	`distribute-neg-out_binary64_4814`
7×	`--rgt-identity_binary64_4838` `associate-+r+_binary64_4784`
6×	`mul-1-neg_binary64_4844`
5×	`+-rgt-identity_binary64_4837`
4×	`distribute-lft-out_binary64_4803`
2×	`distribute-lft-out--_binary64_4804`
1×	`1-exp_binary64_4896` `swap-sqr_binary64_4819`
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_5115` `erf-erfc_binary64_5114` `erf-odd_binary64_5113` `if-if-and-not_binary64_5112` `if-if-and_binary64_5111` `if-if-or-not_binary64_5110` `if-if-or_binary64_5109` `if-not_binary64_5108` `if-same_binary64_5107` `if-false_binary64_5106` `if-true_binary64_5105` `not-gte_binary64_5104` `not-lte_binary64_5103` `not-gt_binary64_5102` `not-lt_binary64_5101` `gte-same_binary64_5100` `lte-same_binary64_5099` `gt-same_binary64_5098` `lt-same_binary64_5097` `sinh---cosh_binary64_5044` `sinh-+-cosh_binary64_5043` `sinh-cosh_binary64_5042` `tanh-def-c_binary64_5041` `tanh-def-b_binary64_5040` `tanh-def-a_binary64_5039` `cosh-def_binary64_5038` `sinh-def_binary64_5037` `tan-neg_binary64_4984` `cos-neg_binary64_4983` `sin-neg_binary64_4982` `tan-0_binary64_4981` `cos-0_binary64_4980` `sin-0_binary64_4979` `hang-m-tan_binary64_4978` `hang-p-tan_binary64_4977` `hang-m0-tan_binary64_4976` `hang-p0-tan_binary64_4975` `hang-0m-tan_binary64_4974` `hang-0p-tan_binary64_4973` `tan-+PI/2_binary64_4972` `tan-+PI_binary64_4971` `tan-PI_binary64_4970` `tan-PI/3_binary64_4969` `tan-PI/4_binary64_4968` `tan-PI/6_binary64_4967` `cos-+PI/2_binary64_4966` `cos-+PI_binary64_4965` `cos-PI_binary64_4964` `cos-PI/2_binary64_4963` `cos-PI/3_binary64_4962` `cos-PI/4_binary64_4961` `cos-PI/6_binary64_4960` `sin-+PI/2_binary64_4959` `sin-+PI_binary64_4958` `sin-PI_binary64_4957` `sin-PI/2_binary64_4956` `sin-PI/3_binary64_4955` `sin-PI/4_binary64_4954` `sin-PI/6_binary64_4953` `sub-1-sin_binary64_4952` `sub-1-cos_binary64_4951` `-1-add-sin_binary64_4950` `-1-add-cos_binary64_4949` `1-sub-sin_binary64_4948` `1-sub-cos_binary64_4947` `cos-sin-sum_binary64_4946` `log-E_binary64_4942` `log-pow_binary64_4941` `log-rec_binary64_4940` `log-div_binary64_4939` `log-prod_binary64_4938` `pow-base-0_binary64_4936` `unpow1/3_binary64_4919` `unpow3_binary64_4918` `unpow2_binary64_4917` `unpow1/2_binary64_4916` `pow-plus_binary64_4915` `exp-to-pow_binary64_4914` `pow-base-1_binary64_4912` `unpow0_binary64_4911` `unpow1_binary64_4910` `unpow-1_binary64_4909` `exp-lft-cube_binary64_4908` `exp-lft-sqr_binary64_4907` `exp-cbrt_binary64_4906` `exp-sqrt_binary64_4905` `exp-prod_binary64_4904` `div-exp_binary64_4903` `rec-exp_binary64_4902` `prod-exp_binary64_4901` `exp-diff_binary64_4900` `exp-neg_binary64_4899` `exp-sum_binary64_4898` `e-exp-1_binary64_4897` `exp-1-e_binary64_4895` `exp-0_binary64_4894` `rem-log-exp_binary64_4893` `rem-exp-log_binary64_4892` `cube-unmult_binary64_4889` `cube-mult_binary64_4882` `cube-div_binary64_4881` `cube-prod_binary64_4880` `cube-neg_binary64_4879` `rem-3cbrt-rft_binary64_4878` `rem-3cbrt-lft_binary64_4877` `rem-cbrt-cube_binary64_4876` `rem-cube-cbrt_binary64_4875` `sqr-abs_binary64_4867` `sqr-neg_binary64_4866` `rem-sqrt-square_binary64_4865` `rem-square-sqrt_binary64_4864` `*-inverses_binary64_4832` `+-inverses_binary64_4831` `lft-mult-inverse_binary64_4830` `rgt-mult-inverse_binary64_4829` `pow-sqr_binary64_4825` `sqr-pow_binary64_4824` `difference-of-sqr--1_binary64_4823` `difference-of-sqr-1_binary64_4822` `difference-of-squares_binary64_4821` `unswap-sqr_binary64_4820` `distribute-rgt1-in_binary64_4808` `distribute-lft1-in_binary64_4807` `count-2_binary64_4800`

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

28.3b

Counts

2 → 1

Compiler

Compiled 32 to 26 computations (18.8% saved)

localize10.0ms (0%)

Local error

Found 4 expressions with local error:

0.3b	(.f64 (.f64 3 a) c)
0.3b	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
0.4b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
28.1b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)

rewrite164.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

26.0b

Rules

20×	`add-sqr-sqrt_binary64_4874`
14×	`add-exp-log_binary64_4890` `add-cbrt-cube_binary64_4888` `*-un-lft-identity_binary64_4852`
9×	`pow1_binary64_4913`
8×	`add-log-exp_binary64_4891` `add-cube-cbrt_binary64_4887`
6×	`difference-of-squares_binary64_4821` `times-frac_binary64_4858` `associate-/l*_binary64_4797`
4×	`cancel-sign-sub-inv_binary64_4818` `prod-exp_binary64_4901` `cbrt-unprod_binary64_4885`
3×	`flip3--_binary64_4856` `flip--_binary64_4827` `sqrt-prod_binary64_4868` `distribute-lft-out--_binary64_4804` `pow-prod-down_binary64_4923` `associate-r_binary64_4792`
2×	`diff-log_binary64_4944` `sub-neg_binary64_4845` `div-exp_binary64_4903` `cbrt-undiv_binary64_4886` `associate-/l/_binary64_4799`
1×	`frac-2neg_binary64_4863` `div-sub_binary64_4857` `clear-num_binary64_4851` `div-inv_binary64_4849` `associate-/r_binary64_4796` `associate-l_binary64_4793` `-commutative_binary64_4783`

Counts

4 → 77

Calls

4 calls:

15.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
8.0ms	(-.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))

Compiler

Compiled 2072 to 1208 computations (41.7% saved)

series881.0ms (4.2%)

Error

1.2b

Counts

4 → 60

Calls

4 calls:

307.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
217.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
205.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
77.0ms	(.f64 (.f64 3 a) c)

Compiler

Compiled 2840 to 2199 computations (22.6% saved)

simplify95.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

701×	`associate-/l*_binary64_4797`
244×	`distribute-rgt-in_binary64_4802`
224×	`distribute-rgt-neg-in_binary64_4810`
216×	`distribute-lft-in_binary64_4801`
205×	`distribute-lft-neg-in_binary64_4809`
181×	`cancel-sign-sub-inv_binary64_4818`
170×	`associate-l_binary64_4793`
166×	`associate-r_binary64_4792`
162×	`associate-/r/_binary64_4798`
152×	`associate-/l/_binary64_4799`
112×	`*-commutative_binary64_4783`
99×	`unswap-sqr_binary64_4820`
79×	`sub-neg_binary64_4845`
77×	`distribute-neg-frac_binary64_4816`
76×	`times-frac_binary64_4858`
75×	`associate-/r*_binary64_4796`
73×	`neg-mul-1_binary64_4848` `neg-sub0_binary64_4847`
63×	`distribute-neg-in_binary64_4813`
59×	`div-sub_binary64_4857`
54×	`sqr-pow_binary64_4824`
52×	`exp-prod_binary64_4904`
45×	`+-commutative_binary64_4782`
34×	`associate-*l/_binary64_4795`
32×	`associate-*r/_binary64_4794`
29×	`distribute-rgt-out_binary64_4805`
25×	`cube-prod_binary64_4880` `unsub-neg_binary64_4846` `distribute-lft-neg-out_binary64_4811`
24×	`associate-+r+_binary64_4784`
22×	`associate-+l+_binary64_4785`
21×	`log-prod_binary64_4938`
18×	`swap-sqr_binary64_4819` `associate--r+_binary64_4788`
17×	`distribute-lft-out_binary64_4803`
13×	`-rgt-identity_binary64_4842` `-lft-identity_binary64_4841`
12×	`distribute-rgt-neg-out_binary64_4812`
10×	`unpow3_binary64_4918`
9×	`cube-mult_binary64_4882`
8×	`/-rgt-identity_binary64_4843` `difference-of-squares_binary64_4821`
7×	`exp-sum_binary64_4898` `associate-+r-_binary64_4786`
6×	`log-div_binary64_4939` `exp-diff_binary64_4900` `+-rgt-identity_binary64_4837`
5×	`cube-unmult_binary64_4889`
4×	`pow-plus_binary64_4915` `pow-sqr_binary64_4825`
3×	`unpow2_binary64_4917` `unpow1/2_binary64_4916` `unpow1_binary64_4910` `exp-lft-cube_binary64_4908` `exp-cbrt_binary64_4906` `cube-div_binary64_4881` `rem-sqrt-square_binary64_4865` `mul-1-neg_binary64_4844` `associate-+l-_binary64_4787`
2×	`log-pow_binary64_4941` `div-exp_binary64_4903` `rem-square-sqrt_binary64_4864` `distribute-neg-out_binary64_4814` `distribute-lft-out--_binary64_4804`
1×	`1-exp_binary64_4896` `exp-1-e_binary64_4895` `rem-3cbrt-lft_binary64_4877` `remove-double-neg_binary64_4840` `*-inverses_binary64_4832` `count-2_binary64_4800` `associate--r-_binary64_4791` `associate--l-_binary64_4790` `associate--l+_binary64_4789`
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_5115` `erf-erfc_binary64_5114` `erf-odd_binary64_5113` `if-if-and-not_binary64_5112` `if-if-and_binary64_5111` `if-if-or-not_binary64_5110` `if-if-or_binary64_5109` `if-not_binary64_5108` `if-same_binary64_5107` `if-false_binary64_5106` `if-true_binary64_5105` `not-gte_binary64_5104` `not-lte_binary64_5103` `not-gt_binary64_5102` `not-lt_binary64_5101` `gte-same_binary64_5100` `lte-same_binary64_5099` `gt-same_binary64_5098` `lt-same_binary64_5097` `sinh---cosh_binary64_5044` `sinh-+-cosh_binary64_5043` `sinh-cosh_binary64_5042` `tanh-def-c_binary64_5041` `tanh-def-b_binary64_5040` `tanh-def-a_binary64_5039` `cosh-def_binary64_5038` `sinh-def_binary64_5037` `tan-neg_binary64_4984` `cos-neg_binary64_4983` `sin-neg_binary64_4982` `tan-0_binary64_4981` `cos-0_binary64_4980` `sin-0_binary64_4979` `hang-m-tan_binary64_4978` `hang-p-tan_binary64_4977` `hang-m0-tan_binary64_4976` `hang-p0-tan_binary64_4975` `hang-0m-tan_binary64_4974` `hang-0p-tan_binary64_4973` `tan-+PI/2_binary64_4972` `tan-+PI_binary64_4971` `tan-PI_binary64_4970` `tan-PI/3_binary64_4969` `tan-PI/4_binary64_4968` `tan-PI/6_binary64_4967` `cos-+PI/2_binary64_4966` `cos-+PI_binary64_4965` `cos-PI_binary64_4964` `cos-PI/2_binary64_4963` `cos-PI/3_binary64_4962` `cos-PI/4_binary64_4961` `cos-PI/6_binary64_4960` `sin-+PI/2_binary64_4959` `sin-+PI_binary64_4958` `sin-PI_binary64_4957` `sin-PI/2_binary64_4956` `sin-PI/3_binary64_4955` `sin-PI/4_binary64_4954` `sin-PI/6_binary64_4953` `sub-1-sin_binary64_4952` `sub-1-cos_binary64_4951` `-1-add-sin_binary64_4950` `-1-add-cos_binary64_4949` `1-sub-sin_binary64_4948` `1-sub-cos_binary64_4947` `cos-sin-sum_binary64_4946` `log-E_binary64_4942` `log-rec_binary64_4940` `pow-base-0_binary64_4936` `unpow1/3_binary64_4919` `exp-to-pow_binary64_4914` `pow-base-1_binary64_4912` `unpow0_binary64_4911` `unpow-1_binary64_4909` `exp-lft-sqr_binary64_4907` `exp-sqrt_binary64_4905` `rec-exp_binary64_4902` `prod-exp_binary64_4901` `exp-neg_binary64_4899` `e-exp-1_binary64_4897` `exp-0_binary64_4894` `rem-log-exp_binary64_4893` `rem-exp-log_binary64_4892` `cube-neg_binary64_4879` `rem-3cbrt-rft_binary64_4878` `rem-cbrt-cube_binary64_4876` `rem-cube-cbrt_binary64_4875` `sqr-abs_binary64_4867` `sqr-neg_binary64_4866` `sub0-neg_binary64_4839` `--rgt-identity_binary64_4838` `+-lft-identity_binary64_4836` `mul0-rgt_binary64_4835` `mul0-lft_binary64_4834` `div0_binary64_4833` `+-inverses_binary64_4831` `lft-mult-inverse_binary64_4830` `rgt-mult-inverse_binary64_4829` `remove-double-div_binary64_4828` `difference-of-sqr--1_binary64_4823` `difference-of-sqr-1_binary64_4822` `cancel-sign-sub_binary64_4817` `distribute-frac-neg_binary64_4815` `distribute-rgt1-in_binary64_4808` `distribute-lft1-in_binary64_4807` `distribute-rgt-out--_binary64_4806`

Counts

137 → 107

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	220	3206
1	575	2948
2	2075	2923
3	5268	2923

prune168.0ms (0.8%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	94	13	107
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	95	13	108

Error

0.8b

Counts

108 → 13

Compiler

Compiled 2954 to 1672 computations (43.4% saved)

localize33.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
0.4b	(.f64 (.f64 a a) (pow.f64 c 3))
0.4b	(*.f64 (pow.f64 a 3) (pow.f64 c 4))
0.4b	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))

rewrite645.0ms (3.1%)

Algorithm

1×	rewrite-expression-head

Error

0.8b

Rules

109×	`add-exp-log_binary64_4890`
54×	`prod-exp_binary64_4901`
42×	`add-sqr-sqrt_binary64_4874`
30×	`div-exp_binary64_4903`
29×	`add-cbrt-cube_binary64_4888` `unpow-prod-down_binary64_4931`
24×	`pow-to-exp_binary64_4921` `pow-exp_binary64_4920`
22×	`add-cube-cbrt_binary64_4887` `*-un-lft-identity_binary64_4852`
19×	`times-frac_binary64_4858` `associate-/r_binary64_4796` `associate-r*_binary64_4792`
16×	`cube-prod_binary64_4880` `unswap-sqr_binary64_4820`
15×	`sqr-pow_binary64_4824`
13×	`associate-l_binary64_4793`
10×	`cbrt-unprod_binary64_4885`
6×	`cbrt-undiv_binary64_4886`
4×	`pow1_binary64_4913` `add-log-exp_binary64_4891` `unpow3_binary64_4918` `cube-mult_binary64_4882`
2×	`frac-2neg_binary64_4863` `clear-num_binary64_4851` `div-inv_binary64_4849` `associate-/l_binary64_4797` `-commutative_binary64_4783`

Counts

4 → 178

Calls

4 calls:

10.0ms	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
9.0ms	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))
9.0ms	(.f64 (.f64 a a) (pow.f64 c 3))
8.0ms	(*.f64 (pow.f64 a 3) (pow.f64 c 4))

Compiler

Compiled 9229 to 5770 computations (37.5% saved)

series1.3s (6.5%)

Error

0.8b

Counts

4 → 30

Calls

4 calls:

418.0ms	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
382.0ms	(*.f64 (pow.f64 a 3) (pow.f64 c 4))
318.0ms	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))
157.0ms	(.f64 (.f64 a a) (pow.f64 c 3))

Compiler

Compiled 4050 to 3052 computations (24.6% saved)

simplify145.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

398×	`associate-l_binary64_4793`
325×	`associate-r_binary64_4792`
324×	`times-frac_binary64_4858`
316×	`associate-/l*_binary64_4797`
277×	`log-div_binary64_4939`
210×	`log-prod_binary64_4938`
186×	`associate-/r*_binary64_4796`
136×	`swap-sqr_binary64_4819`
129×	`cube-prod_binary64_4880`
126×	`distribute-rgt-neg-in_binary64_4810`
107×	`exp-prod_binary64_4904`
98×	`*-commutative_binary64_4783`
93×	`sqr-pow_binary64_4824`
82×	`cancel-sign-sub-inv_binary64_4818`
76×	`associate-/l/_binary64_4799`
74×	`unswap-sqr_binary64_4820` `associate-*l/_binary64_4795`
56×	`log-pow_binary64_4941`
54×	`cube-div_binary64_4881`
47×	`-rgt-identity_binary64_4842` `associate-r/_binary64_4794`
45×	`associate-/r/_binary64_4798`
38×	`sub-neg_binary64_4845`
27×	`distribute-neg-frac_binary64_4816`
23×	`cube-unmult_binary64_4889`
22×	`neg-mul-1_binary64_4848` `neg-sub0_binary64_4847` `*-lft-identity_binary64_4841`
21×	`distribute-lft-neg-in_binary64_4809`
20×	`/-rgt-identity_binary64_4843` `pow-sqr_binary64_4825`
19×	`pow-plus_binary64_4915`
18×	`rem-sqrt-square_binary64_4865` `+-commutative_binary64_4782`
17×	`associate--l+_binary64_4789`
15×	`log-rec_binary64_4940`
14×	`unpow3_binary64_4918`
11×	`cube-mult_binary64_4882`
8×	`associate-+l+_binary64_4785`
7×	`distribute-neg-in_binary64_4813`
6×	`distribute-lft-neg-out_binary64_4811`
4×	`unpow2_binary64_4917` `unpow1_binary64_4910` `unsub-neg_binary64_4846` `distribute-rgt-neg-out_binary64_4812`
3×	`rem-cbrt-cube_binary64_4876` `rem-cube-cbrt_binary64_4875` `rem-square-sqrt_binary64_4864` `div-sub_binary64_4857`
2×	`unpow1/2_binary64_4916` `count-2_binary64_4800` `associate-+r+_binary64_4784`
1×	`1-exp_binary64_4896` `exp-1-e_binary64_4895`
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_5115` `erf-erfc_binary64_5114` `erf-odd_binary64_5113` `if-if-and-not_binary64_5112` `if-if-and_binary64_5111` `if-if-or-not_binary64_5110` `if-if-or_binary64_5109` `if-not_binary64_5108` `if-same_binary64_5107` `if-false_binary64_5106` `if-true_binary64_5105` `not-gte_binary64_5104` `not-lte_binary64_5103` `not-gt_binary64_5102` `not-lt_binary64_5101` `gte-same_binary64_5100` `lte-same_binary64_5099` `gt-same_binary64_5098` `lt-same_binary64_5097` `sinh---cosh_binary64_5044` `sinh-+-cosh_binary64_5043` `sinh-cosh_binary64_5042` `tanh-def-c_binary64_5041` `tanh-def-b_binary64_5040` `tanh-def-a_binary64_5039` `cosh-def_binary64_5038` `sinh-def_binary64_5037` `tan-neg_binary64_4984` `cos-neg_binary64_4983` `sin-neg_binary64_4982` `tan-0_binary64_4981` `cos-0_binary64_4980` `sin-0_binary64_4979` `hang-m-tan_binary64_4978` `hang-p-tan_binary64_4977` `hang-m0-tan_binary64_4976` `hang-p0-tan_binary64_4975` `hang-0m-tan_binary64_4974` `hang-0p-tan_binary64_4973` `tan-+PI/2_binary64_4972` `tan-+PI_binary64_4971` `tan-PI_binary64_4970` `tan-PI/3_binary64_4969` `tan-PI/4_binary64_4968` `tan-PI/6_binary64_4967` `cos-+PI/2_binary64_4966` `cos-+PI_binary64_4965` `cos-PI_binary64_4964` `cos-PI/2_binary64_4963` `cos-PI/3_binary64_4962` `cos-PI/4_binary64_4961` `cos-PI/6_binary64_4960` `sin-+PI/2_binary64_4959` `sin-+PI_binary64_4958` `sin-PI_binary64_4957` `sin-PI/2_binary64_4956` `sin-PI/3_binary64_4955` `sin-PI/4_binary64_4954` `sin-PI/6_binary64_4953` `sub-1-sin_binary64_4952` `sub-1-cos_binary64_4951` `-1-add-sin_binary64_4950` `-1-add-cos_binary64_4949` `1-sub-sin_binary64_4948` `1-sub-cos_binary64_4947` `cos-sin-sum_binary64_4946` `log-E_binary64_4942` `pow-base-0_binary64_4936` `unpow1/3_binary64_4919` `exp-to-pow_binary64_4914` `pow-base-1_binary64_4912` `unpow0_binary64_4911` `unpow-1_binary64_4909` `exp-lft-cube_binary64_4908` `exp-lft-sqr_binary64_4907` `exp-cbrt_binary64_4906` `exp-sqrt_binary64_4905` `div-exp_binary64_4903` `rec-exp_binary64_4902` `prod-exp_binary64_4901` `exp-diff_binary64_4900` `exp-neg_binary64_4899` `exp-sum_binary64_4898` `e-exp-1_binary64_4897` `exp-0_binary64_4894` `rem-log-exp_binary64_4893` `rem-exp-log_binary64_4892` `cube-neg_binary64_4879` `rem-3cbrt-rft_binary64_4878` `rem-3cbrt-lft_binary64_4877` `sqr-abs_binary64_4867` `sqr-neg_binary64_4866` `mul-1-neg_binary64_4844` `remove-double-neg_binary64_4840` `sub0-neg_binary64_4839` `--rgt-identity_binary64_4838` `+-rgt-identity_binary64_4837` `+-lft-identity_binary64_4836` `mul0-rgt_binary64_4835` `mul0-lft_binary64_4834` `div0_binary64_4833` `*-inverses_binary64_4832` `+-inverses_binary64_4831` `lft-mult-inverse_binary64_4830` `rgt-mult-inverse_binary64_4829` `remove-double-div_binary64_4828` `difference-of-sqr--1_binary64_4823` `difference-of-sqr-1_binary64_4822` `difference-of-squares_binary64_4821` `cancel-sign-sub_binary64_4817` `distribute-frac-neg_binary64_4815` `distribute-neg-out_binary64_4814` `distribute-rgt1-in_binary64_4808` `distribute-lft1-in_binary64_4807` `distribute-rgt-out--_binary64_4806` `distribute-rgt-out_binary64_4805` `distribute-lft-out--_binary64_4804` `distribute-lft-out_binary64_4803` `distribute-rgt-in_binary64_4802` `distribute-lft-in_binary64_4801` `associate--r-_binary64_4791` `associate--l-_binary64_4790` `associate--r+_binary64_4788` `associate-+l-_binary64_4787` `associate-+r-_binary64_4786`

Counts

208 → 153

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	263	3405
1	572	3047
2	3383	3032
3	4813	3032
4	5093	3032

prune481.0ms (2.3%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	153	0	153
Fresh	0	12	12
Picked	0	1	1
Done	0	0	0
Total	153	13	166

Error

0.8b

Counts

166 → 13

Compiler

Compiled 7770 to 4814 computations (38% saved)

localize32.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(/.f64 (*.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 b 7))
0.4b	(/.f64 (-.f64 (.f64 -3/2 (/.f64 (.f64 a c) b)) (+.f64 (+.f64 (.f64 9/8 (/.f64 (.f64 (.f64 a c) (.f64 a c)) (pow.f64 b 3))) (.f64 27/16 (/.f64 (pow.f64 (.f64 a c) 3) (pow.f64 b 5)))) (.f64 405/128 (/.f64 (.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 b 7))))) (*.f64 3 a))
0.5b	(.f64 (.f64 a c) (*.f64 a c))
0.8b	(pow.f64 (*.f64 a c) 3)

rewrite675.0ms (3.3%)

Algorithm

1×	rewrite-expression-head

Error

0.7b

Rules

83×	`add-exp-log_binary64_4890`
46×	`pow1_binary64_4913`
37×	`prod-exp_binary64_4901`
32×	`div-exp_binary64_4903`
30×	`pow-exp_binary64_4920`
29×	`pow-to-exp_binary64_4921` `add-cbrt-cube_binary64_4888`
18×	`pow-prod-down_binary64_4923`
11×	`add-cube-cbrt_binary64_4887` `add-sqr-sqrt_binary64_4874` `*-un-lft-identity_binary64_4852` `cbrt-unprod_binary64_4885`
10×	`times-frac_binary64_4858` `associate-*r/_binary64_4794`
8×	`associate-/r*_binary64_4796`
7×	`unpow-prod-down_binary64_4931` `associate-/l/_binary64_4799`
5×	`frac-sub_binary64_4861`
4×	`add-log-exp_binary64_4891` `pow-prod-up_binary64_4922` `pow-sqr_binary64_4825` `cbrt-undiv_binary64_4886` `frac-add_binary64_4860` `associate-/l*_binary64_4797`
3×	`pow-unpow_binary64_4929` `sqr-pow_binary64_4824`
2×	`pow-pow_binary64_4924` `rem-cube-cbrt_binary64_4875` `pow-plus_binary64_4915` `frac-2neg_binary64_4863` `clear-num_binary64_4851` `div-inv_binary64_4849` `flip3-+_binary64_4855` `flip-+_binary64_4826`
1×	`unpow3_binary64_4918` `cube-mult_binary64_4882` `cube-prod_binary64_4880` `pow2_binary64_4933` `swap-sqr_binary64_4819` `associate-l_binary64_4793` `associate-r_binary64_4792` `*-commutative_binary64_4783` `div-sub_binary64_4857` `flip3--_binary64_4856` `flip--_binary64_4827`

Counts

4 → 142

Calls

4 calls:

30.0ms	(/.f64 (-.f64 (.f64 -3/2 (/.f64 (.f64 a c) b)) (+.f64 (+.f64 (.f64 9/8 (/.f64 (.f64 (.f64 a c) (.f64 a c)) (pow.f64 b 3))) (.f64 27/16 (/.f64 (pow.f64 (.f64 a c) 3) (pow.f64 b 5)))) (.f64 405/128 (/.f64 (.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 b 7))))) (*.f64 3 a))
9.0ms	(/.f64 (*.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 b 7))
7.0ms	(.f64 (.f64 a c) (*.f64 a c))
4.0ms	(pow.f64 (*.f64 a c) 3)

Compiler

Compiled 9642 to 5747 computations (40.4% saved)

series1.3s (6.1%)

Error

0.8b

Counts

4 → 42

Calls

4 calls:

459.0ms	(/.f64 (*.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 b 7))
455.0ms	(/.f64 (-.f64 (.f64 -3/2 (/.f64 (.f64 a c) b)) (+.f64 (+.f64 (.f64 9/8 (/.f64 (.f64 (.f64 a c) (.f64 a c)) (pow.f64 b 3))) (.f64 27/16 (/.f64 (pow.f64 (.f64 a c) 3) (pow.f64 b 5)))) (.f64 405/128 (/.f64 (.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 b 7))))) (*.f64 3 a))
137.0ms	(pow.f64 (*.f64 a c) 3)
131.0ms	(.f64 (.f64 a c) (*.f64 a c))

Compiler

Compiled 4327 to 3153 computations (27.1% saved)

simplify171.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

438×	`unswap-sqr_binary64_4820`
312×	`log-prod_binary64_4938`
305×	`associate-r_binary64_4792`
288×	`associate-l_binary64_4793`
161×	`associate-/l*_binary64_4797`
159×	`times-frac_binary64_4858`
154×	`*-commutative_binary64_4783`
111×	`div-sub_binary64_4857`
106×	`associate-/r*_binary64_4796`
91×	`associate-l/_binary64_4795` `associate-r/_binary64_4794`
86×	`sub-neg_binary64_4845`
83×	`distribute-rgt-in_binary64_4802`
79×	`cube-prod_binary64_4880`
78×	`exp-prod_binary64_4904`
75×	`sqr-pow_binary64_4824` `distribute-lft-in_binary64_4801`
52×	`neg-mul-1_binary64_4848` `neg-sub0_binary64_4847`
49×	`log-div_binary64_4939`
38×	`+-commutative_binary64_4782`
34×	`cancel-sign-sub-inv_binary64_4818`
33×	`associate-/l/_binary64_4799`
32×	`associate-+r+_binary64_4784`
30×	`associate-+l+_binary64_4785`
28×	`swap-sqr_binary64_4819` `distribute-rgt-neg-in_binary64_4810`
27×	`associate-/r/_binary64_4798`
26×	`log-pow_binary64_4941`
23×	`distribute-lft-neg-in_binary64_4809`
19×	`cube-unmult_binary64_4889` `unsub-neg_binary64_4846`
18×	`distribute-neg-in_binary64_4813` `associate--r+_binary64_4788`
15×	`cube-div_binary64_4881` `pow-sqr_binary64_4825`
14×	`*-rgt-identity_binary64_4842`
11×	`associate--l+_binary64_4789`
9×	`pow-plus_binary64_4915` `distribute-neg-frac_binary64_4816`
6×	`rem-sqrt-square_binary64_4865`
5×	`unpow3_binary64_4918`
4×	`log-rec_binary64_4940` `cube-mult_binary64_4882` `distribute-rgt-out--_binary64_4806`
3×	`unpow1/2_binary64_4916` `unpow1_binary64_4910` `exp-cbrt_binary64_4906` `distribute-lft-neg-out_binary64_4811` `associate-+r-_binary64_4786`
2×	`unpow2_binary64_4917` `exp-diff_binary64_4900` `/-rgt-identity_binary64_4843` `distribute-rgt-out_binary64_4805` `count-2_binary64_4800` `associate--r-_binary64_4791` `associate-+l-_binary64_4787`
1×	`exp-sum_binary64_4898` `1-exp_binary64_4896` `rem-cbrt-cube_binary64_4876` `*-lft-identity_binary64_4841` `remove-double-neg_binary64_4840` `sub0-neg_binary64_4839` `+-rgt-identity_binary64_4837`
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_5115` `erf-erfc_binary64_5114` `erf-odd_binary64_5113` `if-if-and-not_binary64_5112` `if-if-and_binary64_5111` `if-if-or-not_binary64_5110` `if-if-or_binary64_5109` `if-not_binary64_5108` `if-same_binary64_5107` `if-false_binary64_5106` `if-true_binary64_5105` `not-gte_binary64_5104` `not-lte_binary64_5103` `not-gt_binary64_5102` `not-lt_binary64_5101` `gte-same_binary64_5100` `lte-same_binary64_5099` `gt-same_binary64_5098` `lt-same_binary64_5097` `sinh---cosh_binary64_5044` `sinh-+-cosh_binary64_5043` `sinh-cosh_binary64_5042` `tanh-def-c_binary64_5041` `tanh-def-b_binary64_5040` `tanh-def-a_binary64_5039` `cosh-def_binary64_5038` `sinh-def_binary64_5037` `tan-neg_binary64_4984` `cos-neg_binary64_4983` `sin-neg_binary64_4982` `tan-0_binary64_4981` `cos-0_binary64_4980` `sin-0_binary64_4979` `hang-m-tan_binary64_4978` `hang-p-tan_binary64_4977` `hang-m0-tan_binary64_4976` `hang-p0-tan_binary64_4975` `hang-0m-tan_binary64_4974` `hang-0p-tan_binary64_4973` `tan-+PI/2_binary64_4972` `tan-+PI_binary64_4971` `tan-PI_binary64_4970` `tan-PI/3_binary64_4969` `tan-PI/4_binary64_4968` `tan-PI/6_binary64_4967` `cos-+PI/2_binary64_4966` `cos-+PI_binary64_4965` `cos-PI_binary64_4964` `cos-PI/2_binary64_4963` `cos-PI/3_binary64_4962` `cos-PI/4_binary64_4961` `cos-PI/6_binary64_4960` `sin-+PI/2_binary64_4959` `sin-+PI_binary64_4958` `sin-PI_binary64_4957` `sin-PI/2_binary64_4956` `sin-PI/3_binary64_4955` `sin-PI/4_binary64_4954` `sin-PI/6_binary64_4953` `sub-1-sin_binary64_4952` `sub-1-cos_binary64_4951` `-1-add-sin_binary64_4950` `-1-add-cos_binary64_4949` `1-sub-sin_binary64_4948` `1-sub-cos_binary64_4947` `cos-sin-sum_binary64_4946` `log-E_binary64_4942` `pow-base-0_binary64_4936` `unpow1/3_binary64_4919` `exp-to-pow_binary64_4914` `pow-base-1_binary64_4912` `unpow0_binary64_4911` `unpow-1_binary64_4909` `exp-lft-cube_binary64_4908` `exp-lft-sqr_binary64_4907` `exp-sqrt_binary64_4905` `div-exp_binary64_4903` `rec-exp_binary64_4902` `prod-exp_binary64_4901` `exp-neg_binary64_4899` `e-exp-1_binary64_4897` `exp-1-e_binary64_4895` `exp-0_binary64_4894` `rem-log-exp_binary64_4893` `rem-exp-log_binary64_4892` `cube-neg_binary64_4879` `rem-3cbrt-rft_binary64_4878` `rem-3cbrt-lft_binary64_4877` `rem-cube-cbrt_binary64_4875` `sqr-abs_binary64_4867` `sqr-neg_binary64_4866` `rem-square-sqrt_binary64_4864` `mul-1-neg_binary64_4844` `--rgt-identity_binary64_4838` `+-lft-identity_binary64_4836` `mul0-rgt_binary64_4835` `mul0-lft_binary64_4834` `div0_binary64_4833` `*-inverses_binary64_4832` `+-inverses_binary64_4831` `lft-mult-inverse_binary64_4830` `rgt-mult-inverse_binary64_4829` `remove-double-div_binary64_4828` `difference-of-sqr--1_binary64_4823` `difference-of-sqr-1_binary64_4822` `difference-of-squares_binary64_4821` `cancel-sign-sub_binary64_4817` `distribute-frac-neg_binary64_4815` `distribute-neg-out_binary64_4814` `distribute-rgt-neg-out_binary64_4812` `distribute-rgt1-in_binary64_4808` `distribute-lft1-in_binary64_4807` `distribute-lft-out--_binary64_4804` `distribute-lft-out_binary64_4803` `associate--l-_binary64_4790`

Counts

184 → 155

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	269	5491
1	725	4505
2	3305	4495
3	4803	4495
4	5053	4495

prune588.0ms (2.8%)

Pruning

20 alts after pruning (19 fresh and 1 done)

	Pruned	Kept	Total
New	147	8	155
Fresh	0	11	11
Picked	1	0	1
Done	0	1	1
Total	148	20	168

Error

0.7b

Counts

168 → 20

Compiler

Compiled 10221 to 6259 computations (38.8% saved)

localize76.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.8b	(pow.f64 (*.f64 a c) 3)
0.8b	(pow.f64 (*.f64 a c) 3)
0.9b	(pow.f64 (*.f64 a c) 4)
0.9b	(pow.f64 (*.f64 a c) 4)

rewrite1.7s (8.3%)

Algorithm

1×	rewrite-expression-head

Error

0.7b

Rules

16×	`pow1_binary64_4913` `add-exp-log_binary64_4890`
12×	`pow-unpow_binary64_4929`
10×	`add-cbrt-cube_binary64_4888`
8×	`add-cube-cbrt_binary64_4887` `add-sqr-sqrt_binary64_4874` `*-un-lft-identity_binary64_4852` `pow-pow_binary64_4924` `pow-exp_binary64_4920`
4×	`unpow-prod-down_binary64_4931` `pow-prod-down_binary64_4923` `pow-to-exp_binary64_4921` `prod-exp_binary64_4901` `add-log-exp_binary64_4891` `sqr-pow_binary64_4824` `rem-cube-cbrt_binary64_4875`
2×	`unpow3_binary64_4918` `cube-mult_binary64_4882` `cube-prod_binary64_4880` `cbrt-unprod_binary64_4885`

Counts

4 → 78

Calls

4 calls:

4.0ms	(pow.f64 (*.f64 a c) 3)
4.0ms	(pow.f64 (*.f64 a c) 4)
4.0ms	(pow.f64 (*.f64 a c) 3)
4.0ms	(pow.f64 (*.f64 a c) 4)

Compiler

Compiled 21666 to 13892 computations (35.9% saved)

series1.3s (6.4%)

Error

0.7b

Counts

4 → 24

Calls

4 calls:

257.0ms	(pow.f64 (*.f64 a c) 4)
252.0ms	(pow.f64 (*.f64 a c) 3)
252.0ms	(pow.f64 (*.f64 a c) 3)
244.0ms	(pow.f64 (*.f64 a c) 4)

Compiler

Compiled 19800 to 13061 computations (34% saved)

simplify106.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

620×	`associate-l_binary64_4793`
505×	`log-prod_binary64_4938`
495×	`swap-sqr_binary64_4819` `associate-r_binary64_4792`
440×	`exp-prod_binary64_4904`
428×	`cube-prod_binary64_4880`
163×	`unpow3_binary64_4918`
145×	`sqr-pow_binary64_4824`
139×	`pow-sqr_binary64_4825`
119×	`cube-mult_binary64_4882`
87×	`unswap-sqr_binary64_4820`
68×	`distribute-rgt-in_binary64_4802`
63×	`log-pow_binary64_4941`
58×	`distribute-lft-in_binary64_4801`
57×	`associate-/l*_binary64_4797`
40×	`*-commutative_binary64_4783`
34×	`pow-plus_binary64_4915`
32×	`*-rgt-identity_binary64_4842`
30×	`associate-+l+_binary64_4785` `associate-+r+_binary64_4784`
28×	`*-lft-identity_binary64_4841`
19×	`cube-unmult_binary64_4889`
18×	`associate-/l/_binary64_4799`
10×	`associate-*r/_binary64_4794`
9×	`rem-sqrt-square_binary64_4865` `count-2_binary64_4800`
7×	`distribute-rgt-out_binary64_4805`
5×	`associate-*l/_binary64_4795`
4×	`associate-/r/_binary64_4798`
3×	`unpow2_binary64_4917` `unpow1/2_binary64_4916` `unpow1_binary64_4910` `/-rgt-identity_binary64_4843`
2×	`times-frac_binary64_4858` `distribute-lft-out_binary64_4803`
1×	`1-exp_binary64_4896` `rem-cbrt-cube_binary64_4876` `+-commutative_binary64_4782`
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_5115` `erf-erfc_binary64_5114` `erf-odd_binary64_5113` `if-if-and-not_binary64_5112` `if-if-and_binary64_5111` `if-if-or-not_binary64_5110` `if-if-or_binary64_5109` `if-not_binary64_5108` `if-same_binary64_5107` `if-false_binary64_5106` `if-true_binary64_5105` `not-gte_binary64_5104` `not-lte_binary64_5103` `not-gt_binary64_5102` `not-lt_binary64_5101` `gte-same_binary64_5100` `lte-same_binary64_5099` `gt-same_binary64_5098` `lt-same_binary64_5097` `sinh---cosh_binary64_5044` `sinh-+-cosh_binary64_5043` `sinh-cosh_binary64_5042` `tanh-def-c_binary64_5041` `tanh-def-b_binary64_5040` `tanh-def-a_binary64_5039` `cosh-def_binary64_5038` `sinh-def_binary64_5037` `tan-neg_binary64_4984` `cos-neg_binary64_4983` `sin-neg_binary64_4982` `tan-0_binary64_4981` `cos-0_binary64_4980` `sin-0_binary64_4979` `hang-m-tan_binary64_4978` `hang-p-tan_binary64_4977` `hang-m0-tan_binary64_4976` `hang-p0-tan_binary64_4975` `hang-0m-tan_binary64_4974` `hang-0p-tan_binary64_4973` `tan-+PI/2_binary64_4972` `tan-+PI_binary64_4971` `tan-PI_binary64_4970` `tan-PI/3_binary64_4969` `tan-PI/4_binary64_4968` `tan-PI/6_binary64_4967` `cos-+PI/2_binary64_4966` `cos-+PI_binary64_4965` `cos-PI_binary64_4964` `cos-PI/2_binary64_4963` `cos-PI/3_binary64_4962` `cos-PI/4_binary64_4961` `cos-PI/6_binary64_4960` `sin-+PI/2_binary64_4959` `sin-+PI_binary64_4958` `sin-PI_binary64_4957` `sin-PI/2_binary64_4956` `sin-PI/3_binary64_4955` `sin-PI/4_binary64_4954` `sin-PI/6_binary64_4953` `sub-1-sin_binary64_4952` `sub-1-cos_binary64_4951` `-1-add-sin_binary64_4950` `-1-add-cos_binary64_4949` `1-sub-sin_binary64_4948` `1-sub-cos_binary64_4947` `cos-sin-sum_binary64_4946` `log-E_binary64_4942` `log-rec_binary64_4940` `log-div_binary64_4939` `pow-base-0_binary64_4936` `unpow1/3_binary64_4919` `exp-to-pow_binary64_4914` `pow-base-1_binary64_4912` `unpow0_binary64_4911` `unpow-1_binary64_4909` `exp-lft-cube_binary64_4908` `exp-lft-sqr_binary64_4907` `exp-cbrt_binary64_4906` `exp-sqrt_binary64_4905` `div-exp_binary64_4903` `rec-exp_binary64_4902` `prod-exp_binary64_4901` `exp-diff_binary64_4900` `exp-neg_binary64_4899` `exp-sum_binary64_4898` `e-exp-1_binary64_4897` `exp-1-e_binary64_4895` `exp-0_binary64_4894` `rem-log-exp_binary64_4893` `rem-exp-log_binary64_4892` `cube-div_binary64_4881` `cube-neg_binary64_4879` `rem-3cbrt-rft_binary64_4878` `rem-3cbrt-lft_binary64_4877` `rem-cube-cbrt_binary64_4875` `sqr-abs_binary64_4867` `sqr-neg_binary64_4866` `rem-square-sqrt_binary64_4864` `div-sub_binary64_4857` `neg-mul-1_binary64_4848` `neg-sub0_binary64_4847` `unsub-neg_binary64_4846` `sub-neg_binary64_4845` `mul-1-neg_binary64_4844` `remove-double-neg_binary64_4840` `sub0-neg_binary64_4839` `--rgt-identity_binary64_4838` `+-rgt-identity_binary64_4837` `+-lft-identity_binary64_4836` `mul0-rgt_binary64_4835` `mul0-lft_binary64_4834` `div0_binary64_4833` `-inverses_binary64_4832` `+-inverses_binary64_4831` `lft-mult-inverse_binary64_4830` `rgt-mult-inverse_binary64_4829` `remove-double-div_binary64_4828` `difference-of-sqr--1_binary64_4823` `difference-of-sqr-1_binary64_4822` `difference-of-squares_binary64_4821` `cancel-sign-sub-inv_binary64_4818` `cancel-sign-sub_binary64_4817` `distribute-neg-frac_binary64_4816` `distribute-frac-neg_binary64_4815` `distribute-neg-out_binary64_4814` `distribute-neg-in_binary64_4813` `distribute-rgt-neg-out_binary64_4812` `distribute-lft-neg-out_binary64_4811` `distribute-rgt-neg-in_binary64_4810` `distribute-lft-neg-in_binary64_4809` `distribute-rgt1-in_binary64_4808` `distribute-lft1-in_binary64_4807` `distribute-rgt-out--_binary64_4806` `distribute-lft-out--_binary64_4804` `associate-/r_binary64_4796` `associate--r-_binary64_4791` `associate--l-_binary64_4790` `associate--l+_binary64_4789` `associate--r+_binary64_4788` `associate-+l-_binary64_4787` `associate-+r-_binary64_4786`

Counts

102 → 70

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	56	844
1	110	784
2	348	772
3	2066	772
4	4398	772
5	4923	772
6	4925	772

prune1.4s (6.8%)

Pruning

20 alts after pruning (18 fresh and 2 done)

	Pruned	Kept	Total
New	70	0	70
Fresh	0	18	18
Picked	0	1	1
Done	0	1	1
Total	70	20	90

Error

0.7b

Counts

90 → 20

Compiler

Compiled 19216 to 12310 computations (35.9% saved)

regimes2.5s (12.2%)

Accuracy

Total 4.5b remaining (87.6%)

Threshold costs 0b (0%)

Compiler

Compiled 37043 to 25013 computations (32.5% saved)

bsearch23.0ms (0.1%)

Steps

Iters	Range		Point
1	0.5359932855950073	0.574178160930267	0.5455395044288222

Compiler

Compiled 1 to 3 computations (-200% saved)

simplify9.0ms (0%)

Algorithm

1×	egg-herbie

Rules

35×	`*-commutative_binary64_4783`
31×	`+-commutative_binary64_4782`
29×	`sub-neg_binary64_4845`
25×	`neg-mul-1_binary64_4848` `neg-sub0_binary64_4847`
19×	`distribute-rgt-neg-in_binary64_4810`
16×	`distribute-lft-neg-in_binary64_4809`
5×	`cancel-sign-sub-inv_binary64_4818`
3×	`distribute-neg-frac_binary64_4816` `distribute-lft-neg-out_binary64_4811`
2×	`unsub-neg_binary64_4846` `distribute-neg-in_binary64_4813`
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_5112` `if-if-and_binary64_5111` `if-if-or-not_binary64_5110` `if-if-or_binary64_5109` `if-not_binary64_5108` `if-same_binary64_5107` `if-false_binary64_5106` `if-true_binary64_5105` `tan-0_binary64_4981` `cos-0_binary64_4980` `sin-0_binary64_4979` `unpow1_binary64_4910` `e-exp-1_binary64_4897` `1-exp_binary64_4896` `exp-1-e_binary64_4895` `exp-0_binary64_4894` `sqr-abs_binary64_4867` `sqr-neg_binary64_4866` `mul-1-neg_binary64_4844` `/-rgt-identity_binary64_4843` `-rgt-identity_binary64_4842` `-lft-identity_binary64_4841` `remove-double-neg_binary64_4840` `sub0-neg_binary64_4839` `--rgt-identity_binary64_4838` `+-rgt-identity_binary64_4837` `+-lft-identity_binary64_4836` `cancel-sign-sub_binary64_4817` `distribute-frac-neg_binary64_4815` `distribute-neg-out_binary64_4814` `distribute-rgt-neg-out_binary64_4812`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	118
1	77	118
2	107	118
3	151	118
4	190	118
5	227	118
6	252	118
7	262	118
8	265	118
9	265	118

end0.0ms (0%)

sample5.9s (28.6%)

Algorithm

1×

intervals

Results

381.0ms	7708×	body	128	valid
262.0ms	8931×	pre	128	true
44.0ms	931×	body	128	nan
26.0ms	292×	body	256	valid

Compiler

Compiled 7315 to 4934 computations (32.5% saved)

Iter	Nodes	Cost
0	48	118
1	77	118
2	107	118
3	151	118
4	190	118
5	227	118
6	252	118
7	262	118
8	265	118
9	265	118

Iter	Nodes	Cost
0	48	118
1	77	118
2	107	118
3	151	118
4	190	118
5	227	118
6	252	118
7	262	118
8	265	118
9	265	118

Details

analyze551.0ms (2.7%)

sample35.0ms (0.2%)

simplify317.0ms (1.5%)

prune4.0ms (0%)

localize10.0ms (0%)

rewrite164.0ms (0.8%)

series881.0ms (4.2%)

simplify95.0ms (0.5%)

prune168.0ms (0.8%)

localize33.0ms (0.2%)

rewrite645.0ms (3.1%)

series1.3s (6.5%)

simplify145.0ms (0.7%)

prune481.0ms (2.3%)

localize32.0ms (0.2%)

rewrite675.0ms (3.3%)

series1.3s (6.1%)

simplify171.0ms (0.8%)

prune588.0ms (2.8%)

localize76.0ms (0.4%)

rewrite1.7s (8.3%)

series1.3s (6.4%)

simplify106.0ms (0.5%)

prune1.4s (6.8%)

regimes2.5s (12.2%)

bsearch23.0ms (0.1%)

simplify9.0ms (0%)

end0.0ms (0%)

sample5.9s (28.6%)

Profiling

Iter	Nodes	Cost
0	48	118
1	77	118
2	107	118
3	151	118
4	190	118
5	227	118
6	252	118
7	262	118
8	265	118
9	265	118