Details

analyze310.0ms (4.6%)

Algorithm

1×	search
2×	egg-herbie

Rules

696×	`times-frac_binary64_4858`
422×	`associate-/l/_binary64_4799`
399×	`distribute-rgt-in_binary64_4802`
368×	`unswap-sqr_binary64_4820`
350×	`associate-/r/_binary64_4798`
268×	`associate-*l/_binary64_4795`
251×	`sub-neg_binary64_4845`
232×	`distribute-neg-in_binary64_4813`
216×	`distribute-lft-in_binary64_4801`
200×	`prod-exp_binary64_4901`
191×	`unsub-neg_binary64_4846`
185×	`cancel-sign-sub-inv_binary64_4818`
166×	`sqr-pow_binary64_4824`
160×	`exp-prod_binary64_4904`
153×	`*-rgt-identity_binary64_4842`
137×	`associate--l+_binary64_4789`
131×	`associate-r_binary64_4792`
130×	`associate-/r*_binary64_4796`
126×	`associate-/l*_binary64_4797`
125×	`associate-+l-_binary64_4787`
124×	`associate-l_binary64_4793`
113×	`*-lft-identity_binary64_4841`
84×	`neg-mul-1_binary64_4848` `associate--l-_binary64_4790`
80×	`remove-double-div_binary64_4828` `associate-*r/_binary64_4794`
76×	`unpow3_binary64_4918`
74×	`cube-unmult_binary64_4889`
72×	`pow-plus_binary64_4915` `cube-prod_binary64_4880` `/-rgt-identity_binary64_4843` `pow-sqr_binary64_4825`
71×	`+-commutative_binary64_4782`
69×	`neg-sub0_binary64_4847`
58×	`distribute-neg-out_binary64_4814` `distribute-lft-neg-out_binary64_4811`
56×	`associate--r+_binary64_4788` `associate-+l+_binary64_4785`
52×	`rem-sqrt-square_binary64_4865`
48×	`div-sub_binary64_4857` `*-commutative_binary64_4783`
44×	`distribute-rgt-neg-in_binary64_4810` `distribute-lft-neg-in_binary64_4809`
36×	`div-exp_binary64_4903`
34×	`rec-exp_binary64_4902`
32×	`distribute-rgt-neg-out_binary64_4812`
31×	`associate--r-_binary64_4791`
28×	`exp-sum_binary64_4898` `cube-div_binary64_4881`
27×	`distribute-lft-out--_binary64_4804`
25×	`associate-+r+_binary64_4784`
24×	`exp-sqrt_binary64_4905` `distribute-rgt-out--_binary64_4806`
20×	`distribute-frac-neg_binary64_4815`
18×	`cube-mult_binary64_4882`
16×	`exp-lft-sqr_binary64_4907` `distribute-neg-frac_binary64_4816`
14×	`exp-diff_binary64_4900`
11×	`+-lft-identity_binary64_4836`
10×	`+-rgt-identity_binary64_4837`
9×	`remove-double-neg_binary64_4840` `associate-+r-_binary64_4786`
8×	`unpow2_binary64_4917` `mul-1-neg_binary64_4844` `sub0-neg_binary64_4839` `--rgt-identity_binary64_4838`
7×	`cancel-sign-sub_binary64_4817`
5×	`distribute-rgt-out_binary64_4805`
4×	`log-prod_binary64_4938` `unpow1/2_binary64_4916` `mul0-rgt_binary64_4835` `mul0-lft_binary64_4834` `distribute-rgt1-in_binary64_4808` `distribute-lft-out_binary64_4803`
3×	`distribute-lft1-in_binary64_4807`
1×	`1-exp_binary64_4896` `exp-1-e_binary64_4895` `count-2_binary64_4800`
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` `pow-base-0_binary64_4936` `unpow1/3_binary64_4919` `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-cbrt_binary64_4906` `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-3cbrt-lft_binary64_4877` `rem-cbrt-cube_binary64_4876` `rem-cube-cbrt_binary64_4875` `sqr-abs_binary64_4867` `sqr-neg_binary64_4866` `rem-square-sqrt_binary64_4864` `div0_binary64_4833` `*-inverses_binary64_4832` `+-inverses_binary64_4831` `lft-mult-inverse_binary64_4830` `rgt-mult-inverse_binary64_4829` `difference-of-sqr--1_binary64_4823` `difference-of-sqr-1_binary64_4822` `difference-of-squares_binary64_4821` `swap-sqr_binary64_4819`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	28
1	27	28
2	36	28
3	50	28
4	70	28
5	97	28
6	135	28
7	167	28
8	205	28
9	211	28
10	267	28
11	457	28
12	948	28
13	1570	28
14	2654	28
15	4356	28
16	4781	28
17	4658	28
18	4882	28
0	2	2
1	2	2

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
43.7%	43.7%	12.6%	6
53.1%	31.2%	15.7%	7
59.3%	18.7%	22%	8
62.4%	14%	23.5%	9
64.8%	8.6%	26.6%	10
66%	6.6%	27.4%	11
66.9%	4.1%	29%	12
67.4%	3.2%	29.4%	13
67.9%	2%	30.1%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample26.0ms (0.4%)

Algorithm

1×

intervals

Results

11.0ms	235×	body	128	valid
3.0ms	7×	body	1024	valid
2.0ms	7×	body	512	valid
1.0ms	7×	body	256	valid
0.0ms	2×	body	128	invalid

Compiler

Compiled 19 to 19 computations (0% saved)

simplify129.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

373×	`swap-sqr_binary64_4819`
365×	`div-exp_binary64_4903`
348×	`times-frac_binary64_4858`
325×	`distribute-rgt-in_binary64_4802`
284×	`pow-sqr_binary64_4825`
247×	`associate-/r*_binary64_4796`
239×	`sqr-pow_binary64_4824`
237×	`associate-/l*_binary64_4797`
227×	`*-commutative_binary64_4783`
225×	`sub-neg_binary64_4845`
211×	`associate-/l/_binary64_4799`
184×	`unswap-sqr_binary64_4820`
175×	`associate-/r/_binary64_4798`
155×	`distribute-lft-in_binary64_4801`
152×	`exp-prod_binary64_4904`
150×	`associate-*r/_binary64_4794`
146×	`prod-exp_binary64_4901`
139×	`unsub-neg_binary64_4846`
136×	`distribute-neg-in_binary64_4813`
128×	`associate-*l/_binary64_4795`
117×	`neg-mul-1_binary64_4848`
113×	`associate--r+_binary64_4788`
106×	`cancel-sign-sub-inv_binary64_4818` `distribute-neg-frac_binary64_4816`
100×	`associate--r-_binary64_4791`
98×	`neg-sub0_binary64_4847`
96×	`div-sub_binary64_4857`
91×	`cube-prod_binary64_4880`
90×	`rem-sqrt-square_binary64_4865`
89×	`*-rgt-identity_binary64_4842`
84×	`unpow3_binary64_4918`
80×	`distribute-rgt-neg-in_binary64_4810`
79×	`*-lft-identity_binary64_4841` `distribute-lft-neg-in_binary64_4809` `associate-+l+_binary64_4785`
73×	`associate-r_binary64_4792`
71×	`distribute-rgt-neg-out_binary64_4812`
70×	`associate-l_binary64_4793` `associate--l+_binary64_4789`
69×	`pow-plus_binary64_4915`
67×	`associate-+l-_binary64_4787`
60×	`+-commutative_binary64_4782`
58×	`distribute-lft-neg-out_binary64_4811`
50×	`cancel-sign-sub_binary64_4817`
47×	`cube-div_binary64_4881`
46×	`cube-mult_binary64_4882` `distribute-rgt-out_binary64_4805`
44×	`cube-unmult_binary64_4889`
43×	`associate--l-_binary64_4790`
40×	`remove-double-div_binary64_4828` `distribute-neg-out_binary64_4814`
32×	`associate-+r-_binary64_4786`
28×	`exp-sum_binary64_4898`
24×	`/-rgt-identity_binary64_4843` `distribute-frac-neg_binary64_4815` `distribute-rgt-out--_binary64_4806`
19×	`rec-exp_binary64_4902`
17×	`+-rgt-identity_binary64_4837` `distribute-lft-out--_binary64_4804`
16×	`exp-sqrt_binary64_4905` `exp-diff_binary64_4900`
14×	`unpow2_binary64_4917`
13×	`associate-+r+_binary64_4784`
12×	`+-lft-identity_binary64_4836` `distribute-lft-out_binary64_4803`
10×	`exp-lft-sqr_binary64_4907`
9×	`remove-double-neg_binary64_4840` `distribute-rgt1-in_binary64_4808`
8×	`--rgt-identity_binary64_4838`
6×	`unpow1/2_binary64_4916` `sub0-neg_binary64_4839` `mul0-rgt_binary64_4835` `mul0-lft_binary64_4834`
4×	`exp-neg_binary64_4899` `mul-1-neg_binary64_4844`
2×	`log-prod_binary64_4938` `unpow1_binary64_4910` `div0_binary64_4833` `distribute-lft1-in_binary64_4807`
1×	`1-exp_binary64_4896` `exp-1-e_binary64_4895` `count-2_binary64_4800`
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` `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-cbrt_binary64_4906` `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` `rem-cbrt-cube_binary64_4876` `rem-cube-cbrt_binary64_4875` `sqr-abs_binary64_4867` `sqr-neg_binary64_4866` `rem-square-sqrt_binary64_4864` `*-inverses_binary64_4832` `+-inverses_binary64_4831` `lft-mult-inverse_binary64_4830` `rgt-mult-inverse_binary64_4829` `difference-of-sqr--1_binary64_4823` `difference-of-sqr-1_binary64_4822` `difference-of-squares_binary64_4821`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	14
1	18	14
2	27	14
3	39	14
4	50	14
5	70	14
6	92	14
7	112	14
8	146	14
9	151	14
10	187	14
11	308	14
12	698	14
13	1206	14
14	1833	14
15	3012	14
16	3297	14
17	3531	14
18	4130	14
19	4679	14
20	4811	14

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.6b

Counts

1 → 1

Compiler

Compiled 9 to 8 computations (11.1% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 1 (exp.f64 x))
0.6b	(log.f64 (+.f64 1 (exp.f64 x)))

rewrite38.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

0.5b

Rules

7×	`*-un-lft-identity_binary64_4852`
4×	`log-prod_binary64_4938` `add-log-exp_binary64_4891`
3×	`pow1_binary64_4913` `add-cube-cbrt_binary64_4887` `add-sqr-sqrt_binary64_4874` `add-exp-log_binary64_4890`
2×	`flip3-+_binary64_4855` `log-div_binary64_4939` `flip-+_binary64_4826` `distribute-lft-out_binary64_4803` `add-cbrt-cube_binary64_4888`
1×	`log-pow_binary64_4941` `rem-log-exp_binary64_4893` `sum-log_binary64_4943` `+-commutative_binary64_4782`

Counts

2 → 27

Calls

2 calls:

7.0ms	(log.f64 (+.f64 1 (exp.f64 x)))
4.0ms	(+.f64 1 (exp.f64 x))

Compiler

Compiled 421 to 241 computations (42.8% saved)

series122.0ms (1.8%)

Error

0.3b

Counts

2 → 12

Calls

2 calls:

91.0ms	(log.f64 (+.f64 1 (exp.f64 x)))
21.0ms	(+.f64 1 (exp.f64 x))

Compiler

Compiled 312 to 240 computations (23.1% saved)

simplify64.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

858×	`unswap-sqr_binary64_4820`
729×	`cancel-sign-sub-inv_binary64_4818`
386×	`*-commutative_binary64_4783`
236×	`associate-l_binary64_4793`
190×	`associate-r_binary64_4792`
186×	`distribute-rgt-in_binary64_4802`
176×	`distribute-rgt-out_binary64_4805`
155×	`distribute-rgt-neg-in_binary64_4810`
154×	`+-commutative_binary64_4782`
144×	`sub-neg_binary64_4845`
143×	`distribute-lft-neg-in_binary64_4809`
130×	`distribute-lft-out_binary64_4803`
123×	`associate-+l+_binary64_4785`
101×	`sqr-pow_binary64_4824` `distribute-lft-in_binary64_4801`
99×	`associate-+r+_binary64_4784`
87×	`neg-mul-1_binary64_4848`
78×	`neg-sub0_binary64_4847`
48×	`*-rgt-identity_binary64_4842`
47×	`associate--r+_binary64_4788`
46×	`exp-prod_binary64_4904`
44×	`distribute-lft-out--_binary64_4804`
41×	`distribute-rgt-out--_binary64_4806`
34×	`exp-sum_binary64_4898`
32×	`associate-+l-_binary64_4787`
29×	`distribute-rgt1-in_binary64_4808`
26×	`pow-sqr_binary64_4825`
23×	`log-prod_binary64_4938` `associate--l+_binary64_4789`
22×	`pow-plus_binary64_4915`
21×	`prod-exp_binary64_4901` `unsub-neg_binary64_4846`
19×	`distribute-lft-neg-out_binary64_4811`
17×	`distribute-neg-in_binary64_4813`
16×	`distribute-rgt-neg-out_binary64_4812` `distribute-lft1-in_binary64_4807` `associate-+r-_binary64_4786`
14×	`cube-prod_binary64_4880` `sub0-neg_binary64_4839`
13×	`*-lft-identity_binary64_4841`
12×	`cube-unmult_binary64_4889` `difference-of-squares_binary64_4821`
9×	`+-rgt-identity_binary64_4837`
7×	`unpow3_binary64_4918` `associate-/l*_binary64_4797`
6×	`rem-sqrt-square_binary64_4865` `mul0-rgt_binary64_4835` `mul0-lft_binary64_4834` `count-2_binary64_4800`
4×	`remove-double-neg_binary64_4840` `--rgt-identity_binary64_4838` `difference-of-sqr--1_binary64_4823`
3×	`unpow1/2_binary64_4916` `cube-mult_binary64_4882` `difference-of-sqr-1_binary64_4822` `associate--l-_binary64_4790`
2×	`exp-to-pow_binary64_4914` `unpow1_binary64_4910` `exp-lft-sqr_binary64_4907` `rem-exp-log_binary64_4892` `swap-sqr_binary64_4819` `associate-/l/_binary64_4799` `associate-/r_binary64_4796` `associate-r/_binary64_4794`
1×	`unpow2_binary64_4917` `exp-lft-cube_binary64_4908` `1-exp_binary64_4896` `exp-1-e_binary64_4895` `associate-/r/_binary64_4798`
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` `pow-base-0_binary64_4936` `unpow1/3_binary64_4919` `pow-base-1_binary64_4912` `unpow0_binary64_4911` `unpow-1_binary64_4909` `exp-cbrt_binary64_4906` `exp-sqrt_binary64_4905` `div-exp_binary64_4903` `rec-exp_binary64_4902` `exp-diff_binary64_4900` `exp-neg_binary64_4899` `e-exp-1_binary64_4897` `exp-0_binary64_4894` `rem-log-exp_binary64_4893` `cube-div_binary64_4881` `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-square-sqrt_binary64_4864` `times-frac_binary64_4858` `div-sub_binary64_4857` `mul-1-neg_binary64_4844` `/-rgt-identity_binary64_4843` `+-lft-identity_binary64_4836` `div0_binary64_4833` `-inverses_binary64_4832` `+-inverses_binary64_4831` `lft-mult-inverse_binary64_4830` `rgt-mult-inverse_binary64_4829` `remove-double-div_binary64_4828` `cancel-sign-sub_binary64_4817` `distribute-neg-frac_binary64_4816` `distribute-frac-neg_binary64_4815` `distribute-neg-out_binary64_4814` `associate-l/_binary64_4795` `associate--r-_binary64_4791`

Counts

39 → 27

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	68	479
1	151	442
2	282	433
3	596	433
4	1557	433
5	2874	433
6	4963	433

prune32.0ms (0.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	25	2	27
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	25	3	28

Error

0.2b

Counts

28 → 3

Compiler

Compiled 425 to 260 computations (38.8% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(sqrt.f64 (+.f64 (exp.f64 x) 1))
0.2b	(sqrt.f64 (+.f64 (exp.f64 x) 1))
1.0b	(log.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)))
1.0b	(log.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)))

rewrite130.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

Rules

18×	`*-un-lft-identity_binary64_4852`
16×	`sqrt-prod_binary64_4868`
14×	`log-prod_binary64_4938`
12×	`add-sqr-sqrt_binary64_4874`
10×	`pow1_binary64_4913` `add-cube-cbrt_binary64_4887`
8×	`sqrt-div_binary64_4869`
6×	`log-pow_binary64_4941` `add-exp-log_binary64_4890`
4×	`pow1/2_binary64_4932` `sqrt-pow1_binary64_4870` `flip3-+_binary64_4855` `log-div_binary64_4939` `flip-+_binary64_4826` `distribute-lft-out_binary64_4803` `add-log-exp_binary64_4891` `add-cbrt-cube_binary64_4888`
2×	`rem-log-exp_binary64_4893` `rem-sqrt-square_binary64_4865`

Counts

4 → 72

Calls

4 calls:

6.0ms	(log.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)))
6.0ms	(log.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)))
5.0ms	(sqrt.f64 (+.f64 (exp.f64 x) 1))
5.0ms	(sqrt.f64 (+.f64 (exp.f64 x) 1))

Compiler

Compiled 1736 to 1113 computations (35.9% saved)

series442.0ms (6.5%)

Error

0.2b

Counts

4 → 22

Calls

4 calls:

145.0ms	(log.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)))
142.0ms	(log.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)))
64.0ms	(sqrt.f64 (+.f64 (exp.f64 x) 1))
60.0ms	(sqrt.f64 (+.f64 (exp.f64 x) 1))

Compiler

Compiled 1484 to 1230 computations (17.1% saved)

simplify78.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

551×	`associate-/r*_binary64_4796`
505×	`associate-/l/_binary64_4799`
252×	`associate-/r/_binary64_4798`
212×	`distribute-neg-frac_binary64_4816`
191×	`distribute-rgt-neg-in_binary64_4810`
183×	`distribute-lft-neg-in_binary64_4809`
144×	`associate-+l+_binary64_4785`
136×	`times-frac_binary64_4858`
134×	`associate-/l*_binary64_4797`
117×	`distribute-rgt-out_binary64_4805`
96×	`associate--l+_binary64_4789`
92×	`sub-neg_binary64_4845`
90×	`associate-r_binary64_4792`
79×	`cancel-sign-sub-inv_binary64_4818`
78×	`+-commutative_binary64_4782`
77×	`distribute-rgt-out--_binary64_4806`
68×	`associate-+r+_binary64_4784`
67×	`distribute-lft-out_binary64_4803`
61×	`associate-*l/_binary64_4795`
59×	`associate-*r/_binary64_4794`
53×	`associate-l_binary64_4793`
51×	`*-commutative_binary64_4783`
50×	`unswap-sqr_binary64_4820`
40×	`neg-sub0_binary64_4847` `unsub-neg_binary64_4846`
39×	`neg-mul-1_binary64_4848`
35×	`sqr-pow_binary64_4824`
31×	`distribute-lft-out--_binary64_4804`
29×	`distribute-rgt-in_binary64_4802`
18×	`distribute-lft-in_binary64_4801`
16×	`associate-+r-_binary64_4786`
15×	`+-rgt-identity_binary64_4837`
14×	`prod-exp_binary64_4901`
13×	`associate-+l-_binary64_4787`
12×	`div-sub_binary64_4857` `associate--r+_binary64_4788`
10×	`exp-prod_binary64_4904`
8×	`log-prod_binary64_4938` `cube-unmult_binary64_4889` `cube-prod_binary64_4880`
7×	`distribute-neg-in_binary64_4813` `distribute-rgt1-in_binary64_4808`
6×	`*-rgt-identity_binary64_4842`
5×	`unpow3_binary64_4918` `sub0-neg_binary64_4839` `count-2_binary64_4800`
4×	`cube-mult_binary64_4882` `rem-sqrt-square_binary64_4865`
3×	`*-lft-identity_binary64_4841` `pow-sqr_binary64_4825`
2×	`log-pow_binary64_4941` `unpow2_binary64_4917` `unpow1/2_binary64_4916` `unpow1_binary64_4910` `cube-div_binary64_4881` `rem-square-sqrt_binary64_4864` `mul-1-neg_binary64_4844` `difference-of-squares_binary64_4821` `swap-sqr_binary64_4819` `cancel-sign-sub_binary64_4817` `distribute-lft-neg-out_binary64_4811` `distribute-lft1-in_binary64_4807`
1×	`pow-plus_binary64_4915` `exp-sum_binary64_4898` `1-exp_binary64_4896` `rem-exp-log_binary64_4892` `difference-of-sqr-1_binary64_4822`
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` `exp-diff_binary64_4900` `exp-neg_binary64_4899` `e-exp-1_binary64_4897` `exp-1-e_binary64_4895` `exp-0_binary64_4894` `rem-log-exp_binary64_4893` `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` `/-rgt-identity_binary64_4843` `remove-double-neg_binary64_4840` `--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` `distribute-frac-neg_binary64_4815` `distribute-neg-out_binary64_4814` `distribute-rgt-neg-out_binary64_4812` `associate--r-_binary64_4791` `associate--l-_binary64_4790`

Counts

94 → 40

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	100	1602
1	218	1480
2	550	1382
3	2052	1364
4	5208	1364

prune61.0ms (0.9%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	40	0	40
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	40	3	43

Error

0.2b

Counts

43 → 3

Compiler

Compiled 990 to 673 computations (32% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (log.f64 2) (*.f64 1/2 x))
0.0b	(-.f64 (+.f64 (log.f64 2) (.f64 1/2 x)) (.f64 x y))

rewrite43.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

Rules

7×	`add-log-exp_binary64_4891`
3×	`add-cube-cbrt_binary64_4887` `add-sqr-sqrt_binary64_4874` `*-un-lft-identity_binary64_4852` `log-prod_binary64_4938` `associate-+l+_binary64_4785`
2×	`sum-log_binary64_4943` `diff-log_binary64_4944` `pow1_binary64_4913` `add-exp-log_binary64_4890` `add-cbrt-cube_binary64_4888`
1×	`flip3--_binary64_4856` `sub-neg_binary64_4845` `flip--_binary64_4827` `cancel-sign-sub-inv_binary64_4818` `associate--l+_binary64_4789` `flip3-+_binary64_4855` `flip-+_binary64_4826` `+-commutative_binary64_4782`

Counts

2 → 28

Calls

2 calls:

6.0ms	(-.f64 (+.f64 (log.f64 2) (.f64 1/2 x)) (.f64 x y))
4.0ms	(+.f64 (log.f64 2) (*.f64 1/2 x))

Compiler

Compiled 520 to 360 computations (30.8% saved)

series361.0ms (5.3%)

Error

0.2b

Counts

2 → 18

Calls

2 calls:

248.0ms	(-.f64 (+.f64 (log.f64 2) (.f64 1/2 x)) (.f64 x y))
100.0ms	(+.f64 (log.f64 2) (*.f64 1/2 x))

Compiler

Compiled 370 to 298 computations (19.5% saved)

simplify114.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

435×	`unsub-neg_binary64_4846`
328×	`distribute-neg-out_binary64_4814` `*-commutative_binary64_4783`
240×	`associate-l_binary64_4793`
235×	`distribute-rgt-in_binary64_4802`
226×	`neg-sub0_binary64_4847`
221×	`neg-mul-1_binary64_4848` `distribute-lft-in_binary64_4801`
200×	`associate-r_binary64_4792`
196×	`+-commutative_binary64_4782`
183×	`cancel-sign-sub-inv_binary64_4818`
172×	`sub-neg_binary64_4845`
168×	`times-frac_binary64_4858`
133×	`distribute-rgt-out_binary64_4805`
129×	`distribute-lft-neg-out_binary64_4811`
125×	`distribute-rgt-neg-out_binary64_4812`
103×	`distribute-rgt-neg-in_binary64_4810`
98×	`unswap-sqr_binary64_4820`
97×	`distribute-lft-neg-in_binary64_4809`
90×	`sqr-pow_binary64_4824`
67×	`associate-+l+_binary64_4785`
57×	`exp-sum_binary64_4898`
56×	`distribute-lft-out_binary64_4803`
52×	`exp-prod_binary64_4904`
50×	`cancel-sign-sub_binary64_4817`
48×	`associate-+r+_binary64_4784`
43×	`associate--l+_binary64_4789`
41×	`exp-diff_binary64_4900`
36×	`difference-of-squares_binary64_4821`
32×	`associate--r+_binary64_4788`
31×	`associate-+l-_binary64_4787`
29×	`associate-+r-_binary64_4786`
26×	`swap-sqr_binary64_4819`
24×	`associate-/l*_binary64_4797`
23×	`cube-prod_binary64_4880`
20×	`sub0-neg_binary64_4839` `+-rgt-identity_binary64_4837` `associate-/r*_binary64_4796`
19×	`pow-sqr_binary64_4825`
18×	`distribute-rgt-out--_binary64_4806`
16×	`remove-double-neg_binary64_4840`
15×	`distribute-neg-in_binary64_4813`
13×	`unpow3_binary64_4918`
11×	`cube-unmult_binary64_4889`
9×	`pow-plus_binary64_4915` `mul0-rgt_binary64_4835` `mul0-lft_binary64_4834`
7×	`exp-neg_binary64_4899` `cube-mult_binary64_4882` `sqr-neg_binary64_4866` `distribute-lft-out--_binary64_4804`
6×	`div-sub_binary64_4857` `associate-l/_binary64_4795` `associate-r/_binary64_4794`
5×	`associate-/r/_binary64_4798`
4×	`mul-1-neg_binary64_4844` `associate-/l/_binary64_4799`
3×	`log-prod_binary64_4938` `cube-neg_binary64_4879` `distribute-frac-neg_binary64_4815`
2×	`unpow1/2_binary64_4916` `unpow-1_binary64_4909` `div-exp_binary64_4903`
1×	`exp-to-pow_binary64_4914` `prod-exp_binary64_4901` `1-exp_binary64_4896` `rem-exp-log_binary64_4892` `--rgt-identity_binary64_4838` `associate--r-_binary64_4791`
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` `pow-base-0_binary64_4936` `unpow1/3_binary64_4919` `unpow2_binary64_4917` `pow-base-1_binary64_4912` `unpow0_binary64_4911` `unpow1_binary64_4910` `exp-lft-cube_binary64_4908` `exp-lft-sqr_binary64_4907` `exp-cbrt_binary64_4906` `exp-sqrt_binary64_4905` `rec-exp_binary64_4902` `e-exp-1_binary64_4897` `exp-1-e_binary64_4895` `exp-0_binary64_4894` `rem-log-exp_binary64_4893` `cube-div_binary64_4881` `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` `/-rgt-identity_binary64_4843` `-rgt-identity_binary64_4842` `-lft-identity_binary64_4841` `+-lft-identity_binary64_4836` `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` `distribute-neg-frac_binary64_4816` `distribute-rgt1-in_binary64_4808` `distribute-lft1-in_binary64_4807` `count-2_binary64_4800` `associate--l-_binary64_4790`

Counts

46 → 32

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	68	695
1	193	598
2	570	589
3	1838	589
4	2894	589
5	4985	589
6	4985	589
7	4932	589

prune31.0ms (0.5%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	31	1	32
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	31	4	35

Error

0.2b

Counts

35 → 4

Compiler

Compiled 409 to 292 computations (28.6% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
0.0b	(*.f64 x (-.f64 1/2 y))
0.0b	(log.f64 (+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))))
0.7b	(exp.f64 (log.f64 (+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))))

rewrite141.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

Rules

18×	`add-sqr-sqrt_binary64_4874`
16×	`*-un-lft-identity_binary64_4852`
14×	`add-cube-cbrt_binary64_4887`
12×	`cancel-sign-sub-inv_binary64_4818`
9×	`log-prod_binary64_4938`
8×	`pow1_binary64_4913` `distribute-rgt-in_binary64_4802` `distribute-lft-in_binary64_4801` `associate-+r+_binary64_4784`
7×	`add-exp-log_binary64_4890`
6×	`add-cbrt-cube_binary64_4888`
5×	`add-log-exp_binary64_4891` `associate-r_binary64_4792`
4×	`exp-prod_binary64_4904` `log-div_binary64_4939` `sub-neg_binary64_4845`
3×	`flip3-+_binary64_4855` `flip-+_binary64_4826` `exp-sum_binary64_4898` `associate-l_binary64_4793` `associate-+l+_binary64_4785`
2×	`log-pow_binary64_4941` `exp-diff_binary64_4900` `associate-*r/_binary64_4794`
1×	`rem-exp-log_binary64_4892` `rem-log-exp_binary64_4893` `pow-prod-down_binary64_4923` `prod-exp_binary64_4901` `cbrt-unprod_binary64_4885` `unswap-sqr_binary64_4820` `flip3--_binary64_4856` `flip--_binary64_4827` `difference-of-squares_binary64_4821` `distribute-lft-out--_binary64_4804` `*-commutative_binary64_4783` `sum-log_binary64_4943` `+-commutative_binary64_4782`

Counts

4 → 83

Calls

4 calls:

12.0ms	(*.f64 x (-.f64 1/2 y))
6.0ms	(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
5.0ms	(exp.f64 (log.f64 (+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))))
3.0ms	(log.f64 (+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))))

Compiler

Compiled 1546 to 1198 computations (22.5% saved)

series3.1s (45.2%)

Error

0.2b

Counts

4 → 49

Calls

4 calls:

2.4s	(exp.f64 (log.f64 (+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))))
251.0ms	(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
243.0ms	(log.f64 (+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))))
94.0ms	(*.f64 x (-.f64 1/2 y))

Compiler

Compiled 2389 to 2030 computations (15% saved)

simplify93.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

366×	`distribute-rgt-in_binary64_4802`
323×	`distribute-lft-in_binary64_4801`
255×	`cancel-sign-sub-inv_binary64_4818`
181×	`sub-neg_binary64_4845`
138×	`distribute-rgt-neg-in_binary64_4810`
128×	`times-frac_binary64_4858`
126×	`distribute-neg-frac_binary64_4816`
125×	`distribute-neg-in_binary64_4813`
119×	`associate-r_binary64_4792`
114×	`associate-l_binary64_4793`
112×	`distribute-lft-neg-in_binary64_4809`
111×	`associate-/l*_binary64_4797`
110×	`*-commutative_binary64_4783`
108×	`associate-/r*_binary64_4796`
96×	`unswap-sqr_binary64_4820`
95×	`+-commutative_binary64_4782`
82×	`neg-sub0_binary64_4847`
80×	`neg-mul-1_binary64_4848`
76×	`prod-exp_binary64_4901`
53×	`associate-+r+_binary64_4784`
52×	`unsub-neg_binary64_4846`
50×	`associate-+l+_binary64_4785`
43×	`sqr-pow_binary64_4824` `distribute-lft-neg-out_binary64_4811`
42×	`div-exp_binary64_4903` `associate--r+_binary64_4788`
37×	`associate-*r/_binary64_4794`
34×	`associate-*l/_binary64_4795`
33×	`distribute-rgt-neg-out_binary64_4812` `associate--l+_binary64_4789`
30×	`div-sub_binary64_4857`
28×	`distribute-rgt-out_binary64_4805`
26×	`exp-sum_binary64_4898`
22×	`log-prod_binary64_4938` `rem-exp-log_binary64_4892`
19×	`exp-prod_binary64_4904` `*-lft-identity_binary64_4841`
18×	`*-rgt-identity_binary64_4842`
16×	`associate-/r/_binary64_4798`
15×	`cube-prod_binary64_4880` `distribute-frac-neg_binary64_4815`
14×	`exp-diff_binary64_4900` `/-rgt-identity_binary64_4843`
11×	`log-div_binary64_4939` `distribute-lft-out_binary64_4803`
10×	`distribute-neg-out_binary64_4814` `associate-/l/_binary64_4799`
7×	`swap-sqr_binary64_4819` `distribute-rgt-out--_binary64_4806` `associate--r-_binary64_4791`
6×	`unpow3_binary64_4918` `cube-unmult_binary64_4889` `associate-+r-_binary64_4786`
5×	`log-pow_binary64_4941` `unpow2_binary64_4917` `unpow1/2_binary64_4916` `unpow1_binary64_4910` `cube-mult_binary64_4882`
4×	`associate-+l-_binary64_4787`
3×	`log-rec_binary64_4940` `rem-sqrt-square_binary64_4865` `*-inverses_binary64_4832`
2×	`mul-1-neg_binary64_4844` `remove-double-neg_binary64_4840` `pow-sqr_binary64_4825` `distribute-lft-out--_binary64_4804` `count-2_binary64_4800`
1×	`rec-exp_binary64_4902` `1-exp_binary64_4896` `exp-1-e_binary64_4895` `rem-log-exp_binary64_4893` `cube-div_binary64_4881` `rem-3cbrt-lft_binary64_4877` `rem-square-sqrt_binary64_4864` `sub0-neg_binary64_4839` `+-inverses_binary64_4831` `rgt-mult-inverse_binary64_4829` `difference-of-squares_binary64_4821` `distribute-rgt1-in_binary64_4808` `distribute-lft1-in_binary64_4807`
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` `pow-plus_binary64_4915` `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` `exp-neg_binary64_4899` `e-exp-1_binary64_4897` `exp-0_binary64_4894` `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` `--rgt-identity_binary64_4838` `+-rgt-identity_binary64_4837` `+-lft-identity_binary64_4836` `mul0-rgt_binary64_4835` `mul0-lft_binary64_4834` `div0_binary64_4833` `lft-mult-inverse_binary64_4830` `remove-double-div_binary64_4828` `difference-of-sqr--1_binary64_4823` `difference-of-sqr-1_binary64_4822` `cancel-sign-sub_binary64_4817` `associate--l-_binary64_4790`

Counts

132 → 95

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	275	2959
1	692	2431
2	2393	2221
3	4954	2221

prune108.0ms (1.6%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	94	1	95
Fresh	0	0	0
Picked	1	0	1
Done	0	3	3
Total	95	4	99

Error

0.2b

Counts

99 → 4

Compiler

Compiled 1547 to 1154 computations (25.4% saved)

regimes150.0ms (2.2%)

Accuracy

Total 0.3b remaining (52.2%)

Threshold costs 0.3b (52.2%)

Compiler

Compiled 1011 to 926 computations (8.4% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

5×	`*-commutative_binary64_4783` `+-commutative_binary64_4782`
4×	`sub-neg_binary64_4845`
3×	`neg-mul-1_binary64_4848` `neg-sub0_binary64_4847`
2×	`cancel-sign-sub-inv_binary64_4818` `distribute-rgt-neg-in_binary64_4810`
1×	`1-exp_binary64_4896` `distribute-lft-neg-out_binary64_4811` `distribute-lft-neg-in_binary64_4809`
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` `exp-1-e_binary64_4895` `exp-0_binary64_4894` `sqr-abs_binary64_4867` `sqr-neg_binary64_4866` `unsub-neg_binary64_4846` `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-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`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	36
1	22	36
2	31	36
3	37	36
4	41	36
5	42	36
6	41	36

end0.0ms (0%)

sample1.2s (17.7%)

Algorithm

1×

intervals

Results

352.0ms	7425×	body	128	valid
81.0ms	204×	body	1024	valid
46.0ms	216×	body	512	valid
19.0ms	154×	body	256	valid
2.0ms	37×	body	128	invalid
1.0ms	1×	body	2048	valid
0.0ms	9×	body	128	overflowed

Compiler

Compiled 376 to 336 computations (10.6% saved)

Details

analyze310.0ms (4.6%)

sample26.0ms (0.4%)

simplify129.0ms (1.9%)

prune2.0ms (0%)

localize7.0ms (0.1%)

rewrite38.0ms (0.6%)

series122.0ms (1.8%)

simplify64.0ms (0.9%)

prune32.0ms (0.5%)

localize10.0ms (0.1%)

rewrite130.0ms (1.9%)

series442.0ms (6.5%)

simplify78.0ms (1.2%)

prune61.0ms (0.9%)

localize8.0ms (0.1%)

rewrite43.0ms (0.6%)

series361.0ms (5.3%)

simplify114.0ms (1.7%)

prune31.0ms (0.5%)

localize9.0ms (0.1%)

rewrite141.0ms (2.1%)

series3.1s (45.2%)

simplify93.0ms (1.4%)

prune108.0ms (1.6%)

regimes150.0ms (2.2%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample1.2s (17.7%)

Profiling