Details

analyze255.0ms (1.8%)

Algorithm

1×

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
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
12.5%	71.8%	15.7%	8
25%	56.2%	18.9%	9
31.2%	43.7%	25.1%	10
39%	34.7%	26.3%	11
44.9%	27.9%	27.3%	12
47.8%	22%	30.2%	13
52.6%	16.8%	30.7%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample16.0ms (0.1%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	128	valid
0.0ms	9×	body	128	invalid

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify1.7s (12.1%)

Algorithm

1×	egg-herbie

Rules

517×	`distribute-rgt-out_binary64_4805`
516×	`distribute-rgt1-in_binary64_4808`
500×	`associate-r_binary64_4792`
467×	`sub-neg_binary64_4845`
455×	`distribute-rgt-out--_binary64_4806`
251×	`associate-l_binary64_4793`
228×	`cancel-sign-sub-inv_binary64_4818`
193×	`associate--l+_binary64_4789`
150×	`distribute-lft-out_binary64_4803`
144×	`distribute-lft-out--_binary64_4804`
136×	`associate--r-_binary64_4791`
134×	`associate--l-_binary64_4790`
46×	`unsub-neg_binary64_4846` `distribute-lft1-in_binary64_4807`
39×	`distribute-lft-neg-in_binary64_4809`
34×	`distribute-rgt-in_binary64_4802`
33×	`neg-mul-1_binary64_4848` `distribute-rgt-neg-in_binary64_4810`
31×	`neg-sub0_binary64_4847`
25×	`distribute-rgt-neg-out_binary64_4812`
24×	`*-commutative_binary64_4783`
23×	`count-2_binary64_4800`
21×	`+-inverses_binary64_4831`
20×	`distribute-neg-in_binary64_4813`
15×	`+-commutative_binary64_4782`
12×	`distribute-lft-in_binary64_4801` `associate-+l-_binary64_4787`
10×	`sub0-neg_binary64_4839` `distribute-neg-out_binary64_4814`
9×	`--rgt-identity_binary64_4838` `associate--r+_binary64_4788`
8×	`mul0-rgt_binary64_4835`
7×	`mul0-lft_binary64_4834`
6×	`remove-double-neg_binary64_4840` `distribute-lft-neg-out_binary64_4811` `associate-+r-_binary64_4786`
5×	`associate-+l+_binary64_4785`
4×	`+-rgt-identity_binary64_4837` `+-lft-identity_binary64_4836` `associate-+r+_binary64_4784`
3×	`cube-unmult_binary64_4889` `unswap-sqr_binary64_4820`
2×	`exp-sum_binary64_4898` `difference-of-squares_binary64_4821`
1×	`exp-lft-sqr_binary64_4907` `exp-diff_binary64_4900` `1-exp_binary64_4896` `sqr-neg_binary64_4866` `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-cbrt_binary64_4906` `exp-sqrt_binary64_4905` `exp-prod_binary64_4904` `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-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` `times-frac_binary64_4858` `div-sub_binary64_4857` `mul-1-neg_binary64_4844` `/-rgt-identity_binary64_4843` `-rgt-identity_binary64_4842` `-lft-identity_binary64_4841` `div0_binary64_4833` `-inverses_binary64_4832` `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` `cancel-sign-sub_binary64_4817` `distribute-neg-frac_binary64_4816` `distribute-frac-neg_binary64_4815` `associate-/l/_binary64_4799` `associate-/r/_binary64_4798` `associate-/l_binary64_4797` `associate-/r_binary64_4796` `associate-l/_binary64_4795` `associate-*r/_binary64_4794`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	18	13
2	43	13
3	83	13
4	103	13
5	149	13
6	237	13
7	3297	13

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.0b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

0.0b	(-.f64 (.f64 x x) (.f64 (*.f64 y 4) z))

rewrite17.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

3×	`add-log-exp_binary64_4891`
1×	`diff-log_binary64_4944` `pow1_binary64_4913` `add-exp-log_binary64_4890` `add-cbrt-cube_binary64_4888` `add-cube-cbrt_binary64_4887` `add-sqr-sqrt_binary64_4874` `flip3--_binary64_4856` `*-un-lft-identity_binary64_4852` `sub-neg_binary64_4845` `flip--_binary64_4827` `cancel-sign-sub-inv_binary64_4818`

Counts

1 → 12

Calls

1 calls:

4.0ms

(-.f64 (*.f64 x x) (*.f64 (*.f64 y 4) z))

Compiler

Compiled 231 to 124 computations (46.3% saved)

series228.0ms (1.6%)

Error

0.0b

Counts

1 → 18

Calls

1 calls:

218.0ms

(-.f64 (*.f64 x x) (*.f64 (*.f64 y 4) z))

Compiler

Compiled 317 to 279 computations (12% saved)

simplify105.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

548×	`unsub-neg_binary64_4846`
471×	`times-frac_binary64_4858`
396×	`associate-l_binary64_4793`
325×	`distribute-rgt-in_binary64_4802`
302×	`associate-r_binary64_4792`
280×	`distribute-lft-in_binary64_4801`
257×	`distribute-rgt-neg-in_binary64_4810`
250×	`distribute-lft-neg-in_binary64_4809`
235×	`neg-sub0_binary64_4847`
231×	`neg-mul-1_binary64_4848`
222×	`cancel-sign-sub-inv_binary64_4818`
99×	`distribute-lft-neg-out_binary64_4811`
91×	`distribute-rgt-neg-out_binary64_4812`
90×	`unswap-sqr_binary64_4820`
85×	`exp-prod_binary64_4904`
83×	`sqr-pow_binary64_4824`
69×	`distribute-rgt-out_binary64_4805`
53×	`exp-sum_binary64_4898`
48×	`*-commutative_binary64_4783`
38×	`pow-sqr_binary64_4825`
35×	`associate-/r*_binary64_4796`
33×	`sub-neg_binary64_4845`
32×	`difference-of-squares_binary64_4821`
30×	`swap-sqr_binary64_4819`
29×	`associate-+r+_binary64_4784`
28×	`distribute-lft-out_binary64_4803`
26×	`pow-plus_binary64_4915`
24×	`+-commutative_binary64_4782`
23×	`associate-+l+_binary64_4785`
21×	`cube-prod_binary64_4880`
20×	`associate-/l*_binary64_4797`
18×	`associate-/r/_binary64_4798`
16×	`unpow3_binary64_4918` `exp-diff_binary64_4900`
13×	`cube-unmult_binary64_4889`
12×	`associate-/l/_binary64_4799`
10×	`associate-*l/_binary64_4795`
9×	`cube-mult_binary64_4882` `associate-*r/_binary64_4794`
8×	`sqr-neg_binary64_4866` `associate-+r-_binary64_4786`
7×	`div-sub_binary64_4857`
6×	`mul0-rgt_binary64_4835` `mul0-lft_binary64_4834` `associate-+l-_binary64_4787`
4×	`+-rgt-identity_binary64_4837`
3×	`mul-1-neg_binary64_4844` `sub0-neg_binary64_4839`
2×	`div-exp_binary64_4903` `distribute-neg-in_binary64_4813` `count-2_binary64_4800` `associate--r+_binary64_4788`
1×	`unpow2_binary64_4917` `unpow1_binary64_4910` `rec-exp_binary64_4902` `exp-neg_binary64_4899` `1-exp_binary64_4896` `cube-neg_binary64_4879` `-rgt-identity_binary64_4842` `-inverses_binary64_4832` `rgt-mult-inverse_binary64_4829` `distribute-rgt1-in_binary64_4808`
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` `unpow1/2_binary64_4916` `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` `prod-exp_binary64_4901` `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` `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` `*-lft-identity_binary64_4841` `remove-double-neg_binary64_4840` `--rgt-identity_binary64_4838` `+-lft-identity_binary64_4836` `div0_binary64_4833` `+-inverses_binary64_4831` `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` `distribute-neg-frac_binary64_4816` `distribute-frac-neg_binary64_4815` `distribute-neg-out_binary64_4814` `distribute-lft1-in_binary64_4807` `distribute-rgt-out--_binary64_4806` `distribute-lft-out--_binary64_4804` `associate--r-_binary64_4791` `associate--l-_binary64_4790` `associate--l+_binary64_4789`

Counts

30 → 97

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	40	445
1	119	412
2	407	412
3	1619	412
4	3837	412

prune99.0ms (0.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	96	1	97
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	96	2	98

Error

Counts

98 → 2

Compiler

Compiled 1918 to 1014 computations (47.1% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (.f64 x x) (.f64 z (*.f64 y 4)))
0.1b	(.f64 (-.f64 (.f64 x x) (.f64 z (.f64 y 4))) (.f64 (-.f64 (.f64 x x) (.f64 z (.f64 y 4))) (-.f64 (.f64 x x) (.f64 z (*.f64 y 4)))))
0.3b	(.f64 (-.f64 (.f64 x x) (.f64 z (.f64 y 4))) (-.f64 (.f64 x x) (.f64 z (*.f64 y 4))))
35.6b	(cbrt.f64 (.f64 (-.f64 (.f64 x x) (.f64 z (.f64 y 4))) (.f64 (-.f64 (.f64 x x) (.f64 z (.f64 y 4))) (-.f64 (.f64 x x) (.f64 z (*.f64 y 4))))))

rewrite472.0ms (3.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

61×	`flip3--_binary64_4856` `flip--_binary64_4827`
60×	`frac-times_binary64_4862`
30×	`associate-*r/_binary64_4794`
26×	`cbrt-div_binary64_4884`
25×	`pow1_binary64_4913`
18×	`associate-*l/_binary64_4795`
14×	`add-cbrt-cube_binary64_4888`
12×	`add-sqr-sqrt_binary64_4874`
11×	`add-exp-log_binary64_4890`
10×	`distribute-rgt-in_binary64_4802` `distribute-lft-in_binary64_4801`
9×	`add-cube-cbrt_binary64_4887` `*-un-lft-identity_binary64_4852`
7×	`sub-neg_binary64_4845` `cancel-sign-sub-inv_binary64_4818`
6×	`add-log-exp_binary64_4891` `pow-prod-up_binary64_4922` `associate-l_binary64_4793`
4×	`pow-prod-down_binary64_4923` `prod-exp_binary64_4901` `cbrt-unprod_binary64_4885` `associate-r_binary64_4792`
3×	`swap-sqr_binary64_4819`
2×	`cube-unmult_binary64_4889` `pow2_binary64_4933` `pow-plus_binary64_4915` `pow-sqr_binary64_4825` `unswap-sqr_binary64_4820` `*-commutative_binary64_4783`
1×	`pow1/3_binary64_4934` `cbrt-prod_binary64_4883` `rem-cbrt-cube_binary64_4876` `rem-3cbrt-rft_binary64_4878` `diff-log_binary64_4944`

Counts

4 → 144

Calls

4 calls:

19.0ms	(.f64 (-.f64 (.f64 x x) (.f64 z (.f64 y 4))) (.f64 (-.f64 (.f64 x x) (.f64 z (.f64 y 4))) (-.f64 (.f64 x x) (.f64 z (*.f64 y 4)))))
16.0ms	(cbrt.f64 (.f64 (-.f64 (.f64 x x) (.f64 z (.f64 y 4))) (.f64 (-.f64 (.f64 x x) (.f64 z (.f64 y 4))) (-.f64 (.f64 x x) (.f64 z (*.f64 y 4))))))
11.0ms	(.f64 (-.f64 (.f64 x x) (.f64 z (.f64 y 4))) (-.f64 (.f64 x x) (.f64 z (*.f64 y 4))))
4.0ms	(-.f64 (.f64 x x) (.f64 z (*.f64 y 4)))

Compiler

Compiled 8647 to 4424 computations (48.8% saved)

series1.5s (10.7%)

Error

Counts

4 → 99

Calls

4 calls:

491.0ms	(.f64 (-.f64 (.f64 x x) (.f64 z (.f64 y 4))) (-.f64 (.f64 x x) (.f64 z (*.f64 y 4))))
377.0ms	(.f64 (-.f64 (.f64 x x) (.f64 z (.f64 y 4))) (.f64 (-.f64 (.f64 x x) (.f64 z (.f64 y 4))) (-.f64 (.f64 x x) (.f64 z (*.f64 y 4)))))
263.0ms	(cbrt.f64 (.f64 (-.f64 (.f64 x x) (.f64 z (.f64 y 4))) (.f64 (-.f64 (.f64 x x) (.f64 z (.f64 y 4))) (-.f64 (.f64 x x) (.f64 z (*.f64 y 4))))))
246.0ms	(-.f64 (.f64 x x) (.f64 z (*.f64 y 4)))

Compiler

Compiled 5033 to 3748 computations (25.5% saved)

simplify2.7s (19.3%)

Algorithm

1×	egg-herbie

Rules

305×	`associate-r_binary64_4792`
258×	`cancel-sign-sub-inv_binary64_4818`
252×	`neg-mul-1_binary64_4848`
240×	`associate-l_binary64_4793`
232×	`exp-prod_binary64_4904`
197×	`unswap-sqr_binary64_4820`
174×	`distribute-rgt-neg-in_binary64_4810`
154×	`distribute-lft-neg-in_binary64_4809`
147×	`+-commutative_binary64_4782`
123×	`associate-+r+_binary64_4784`
109×	`distribute-rgt-in_binary64_4802`
104×	`distribute-lft-in_binary64_4801`
93×	`cube-prod_binary64_4880`
85×	`distribute-lft-neg-out_binary64_4811`
83×	`associate-+l+_binary64_4785`
81×	`associate-*l/_binary64_4795`
79×	`sqr-pow_binary64_4824`
77×	`*-commutative_binary64_4783`
70×	`log-prod_binary64_4938`
64×	`distribute-rgt-neg-out_binary64_4812`
57×	`times-frac_binary64_4858`
56×	`swap-sqr_binary64_4819`
53×	`cube-div_binary64_4881`
52×	`associate-*r/_binary64_4794`
47×	`exp-sum_binary64_4898`
42×	`distribute-rgt-out_binary64_4805`
39×	`exp-sqrt_binary64_4905`
38×	`neg-sub0_binary64_4847` `sub-neg_binary64_4845`
37×	`log-div_binary64_4939`
35×	`pow-plus_binary64_4915`
32×	`pow-sqr_binary64_4825`
31×	`div-sub_binary64_4857`
29×	`associate-/r*_binary64_4796`
22×	`unpow3_binary64_4918`
21×	`exp-diff_binary64_4900`
20×	`associate-+l-_binary64_4787` `associate-+r-_binary64_4786`
18×	`cube-unmult_binary64_4889` `associate-/l*_binary64_4797`
16×	`exp-neg_binary64_4899` `*-rgt-identity_binary64_4842`
15×	`cube-mult_binary64_4882` `*-lft-identity_binary64_4841`
13×	`associate--l+_binary64_4789`
12×	`distribute-lft-out_binary64_4803` `associate-/r/_binary64_4798`
11×	`log-pow_binary64_4941`
9×	`rem-sqrt-square_binary64_4865` `unsub-neg_binary64_4846`
8×	`sqr-neg_binary64_4866`
7×	`associate--r+_binary64_4788`
5×	`div-exp_binary64_4903` `rem-cbrt-cube_binary64_4876` `difference-of-squares_binary64_4821` `distribute-neg-in_binary64_4813`
4×	`unpow2_binary64_4917` `prod-exp_binary64_4901` `/-rgt-identity_binary64_4843` `distribute-rgt-out--_binary64_4806` `count-2_binary64_4800` `associate-/l/_binary64_4799`
3×	`log-rec_binary64_4940` `unpow1_binary64_4910` `exp-lft-sqr_binary64_4907`
2×	`rec-exp_binary64_4902` `rem-3cbrt-lft_binary64_4877` `distribute-rgt1-in_binary64_4808`
1×	`pow-base-1_binary64_4912` `1-exp_binary64_4896` `exp-1-e_binary64_4895` `rem-log-exp_binary64_4893` `rem-3cbrt-rft_binary64_4878` `rem-square-sqrt_binary64_4864` `+-rgt-identity_binary64_4837` `*-inverses_binary64_4832`
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` `unpow1/2_binary64_4916` `exp-to-pow_binary64_4914` `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-exp-log_binary64_4892` `cube-neg_binary64_4879` `rem-cube-cbrt_binary64_4875` `sqr-abs_binary64_4867` `mul-1-neg_binary64_4844` `remove-double-neg_binary64_4840` `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-neg-frac_binary64_4816` `distribute-frac-neg_binary64_4815` `distribute-neg-out_binary64_4814` `distribute-lft1-in_binary64_4807` `distribute-lft-out--_binary64_4804` `associate--r-_binary64_4791` `associate--l-_binary64_4790`

Counts

243 → 1124

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	222	10527
1	435	9650
2	1982	9213
3	4112	9178

prune6.2s (44%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	1124	0	1124
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	1124	2	1126

Error

Counts

1126 → 2

Compiler

Compiled 68310 to 37458 computations (45.2% saved)

regimes118.0ms (0.8%)

Accuracy

Total 0.0b remaining (80%)

Threshold costs 0.0b (80%)

Compiler

Compiled 725 to 610 computations (15.9% saved)

bsearch0.0ms (0%)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Rules

7×	`*-commutative_binary64_4783`
6×	`sub-neg_binary64_4845` `+-commutative_binary64_4782`
5×	`neg-mul-1_binary64_4848` `neg-sub0_binary64_4847`
4×	`distribute-rgt-neg-in_binary64_4810`
3×	`distribute-lft-neg-in_binary64_4809`
2×	`cancel-sign-sub-inv_binary64_4818`
1×	`distribute-lft-neg-out_binary64_4811`
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` `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	9	13
1	16	13
2	32	13
3	42	13
4	50	13
5	53	13

Proof

(- f64 (* f64 h0 h0) (* f64 (* f64 h1 4) h2))

end0.0ms (0%)

sample619.0ms (4.4%)

Algorithm

1×

intervals

Results

219.0ms	8000×	body	128	valid
12.0ms	470×	body	128	invalid

Compiler

Compiled 116 to 98 computations (15.5% saved)

Details

analyze255.0ms (1.8%)

sample16.0ms (0.1%)

simplify1.7s (12.1%)

prune2.0ms (0%)

localize6.0ms (0%)

rewrite17.0ms (0.1%)

series228.0ms (1.6%)

simplify105.0ms (0.8%)

prune99.0ms (0.7%)

localize10.0ms (0.1%)

rewrite472.0ms (3.4%)

series1.5s (10.7%)

simplify2.7s (19.3%)

prune6.2s (44%)

regimes118.0ms (0.8%)

bsearch0.0ms (0%)

simplify4.0ms (0%)

end0.0ms (0%)

sample619.0ms (4.4%)

Profiling