Details

analyze388.0ms (25%)

Algorithm

1×	search
2×	egg-herbie

Rules

19×	`+-commutative_binary64_4441`
12×	`associate-+l+_binary64_4444` `associate-+r+_binary64_4443`
3×	`*-commutative_binary64_4442`
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_4774` `erf-erfc_binary64_4773` `erf-odd_binary64_4772` `if-if-and-not_binary64_4771` `if-if-and_binary64_4770` `if-if-or-not_binary64_4769` `if-if-or_binary64_4768` `if-not_binary64_4767` `if-same_binary64_4766` `if-false_binary64_4765` `if-true_binary64_4764` `not-gte_binary64_4763` `not-lte_binary64_4762` `not-gt_binary64_4761` `not-lt_binary64_4760` `gte-same_binary64_4759` `lte-same_binary64_4758` `gt-same_binary64_4757` `lt-same_binary64_4756` `sinh---cosh_binary64_4703` `sinh-+-cosh_binary64_4702` `sinh-cosh_binary64_4701` `tanh-def-c_binary64_4700` `tanh-def-b_binary64_4699` `tanh-def-a_binary64_4698` `cosh-def_binary64_4697` `sinh-def_binary64_4696` `tan-neg_binary64_4643` `cos-neg_binary64_4642` `sin-neg_binary64_4641` `tan-0_binary64_4640` `cos-0_binary64_4639` `sin-0_binary64_4638` `hang-m-tan_binary64_4637` `hang-p-tan_binary64_4636` `hang-m0-tan_binary64_4635` `hang-p0-tan_binary64_4634` `hang-0m-tan_binary64_4633` `hang-0p-tan_binary64_4632` `tan-+PI/2_binary64_4631` `tan-+PI_binary64_4630` `tan-PI_binary64_4629` `tan-PI/3_binary64_4628` `tan-PI/4_binary64_4627` `tan-PI/6_binary64_4626` `cos-+PI/2_binary64_4625` `cos-+PI_binary64_4624` `cos-PI_binary64_4623` `cos-PI/2_binary64_4622` `cos-PI/3_binary64_4621` `cos-PI/4_binary64_4620` `cos-PI/6_binary64_4619` `sin-+PI/2_binary64_4618` `sin-+PI_binary64_4617` `sin-PI_binary64_4616` `sin-PI/2_binary64_4615` `sin-PI/3_binary64_4614` `sin-PI/4_binary64_4613` `sin-PI/6_binary64_4612` `sub-1-sin_binary64_4611` `sub-1-cos_binary64_4610` `-1-add-sin_binary64_4609` `-1-add-cos_binary64_4608` `1-sub-sin_binary64_4607` `1-sub-cos_binary64_4606` `cos-sin-sum_binary64_4605` `log-E_binary64_4601` `log-pow_binary64_4600` `log-rec_binary64_4599` `log-div_binary64_4598` `log-prod_binary64_4597` `pow-base-0_binary64_4595` `unpow1/3_binary64_4578` `unpow3_binary64_4577` `unpow2_binary64_4576` `unpow1/2_binary64_4575` `pow-plus_binary64_4574` `exp-to-pow_binary64_4573` `pow-base-1_binary64_4571` `unpow0_binary64_4570` `unpow1_binary64_4569` `unpow-1_binary64_4568` `exp-lft-cube_binary64_4567` `exp-lft-sqr_binary64_4566` `exp-cbrt_binary64_4565` `exp-sqrt_binary64_4564` `exp-prod_binary64_4563` `div-exp_binary64_4562` `rec-exp_binary64_4561` `prod-exp_binary64_4560` `exp-diff_binary64_4559` `exp-neg_binary64_4558` `exp-sum_binary64_4557` `e-exp-1_binary64_4556` `1-exp_binary64_4555` `exp-1-e_binary64_4554` `exp-0_binary64_4553` `rem-log-exp_binary64_4552` `rem-exp-log_binary64_4551` `cube-unmult_binary64_4548` `cube-mult_binary64_4541` `cube-div_binary64_4540` `cube-prod_binary64_4539` `cube-neg_binary64_4538` `rem-3cbrt-rft_binary64_4537` `rem-3cbrt-lft_binary64_4536` `rem-cbrt-cube_binary64_4535` `rem-cube-cbrt_binary64_4534` `sqr-abs_binary64_4526` `sqr-neg_binary64_4525` `rem-sqrt-square_binary64_4524` `rem-square-sqrt_binary64_4523` `times-frac_binary64_4517` `div-sub_binary64_4516` `neg-mul-1_binary64_4507` `neg-sub0_binary64_4506` `unsub-neg_binary64_4505` `sub-neg_binary64_4504` `mul-1-neg_binary64_4503` `/-rgt-identity_binary64_4502` `-rgt-identity_binary64_4501` `-lft-identity_binary64_4500` `remove-double-neg_binary64_4499` `sub0-neg_binary64_4498` `--rgt-identity_binary64_4497` `+-rgt-identity_binary64_4496` `+-lft-identity_binary64_4495` `mul0-rgt_binary64_4494` `mul0-lft_binary64_4493` `div0_binary64_4492` `-inverses_binary64_4491` `+-inverses_binary64_4490` `lft-mult-inverse_binary64_4489` `rgt-mult-inverse_binary64_4488` `remove-double-div_binary64_4487` `pow-sqr_binary64_4484` `sqr-pow_binary64_4483` `difference-of-sqr--1_binary64_4482` `difference-of-sqr-1_binary64_4481` `difference-of-squares_binary64_4480` `unswap-sqr_binary64_4479` `swap-sqr_binary64_4478` `cancel-sign-sub-inv_binary64_4477` `cancel-sign-sub_binary64_4476` `distribute-neg-frac_binary64_4475` `distribute-frac-neg_binary64_4474` `distribute-neg-out_binary64_4473` `distribute-neg-in_binary64_4472` `distribute-rgt-neg-out_binary64_4471` `distribute-lft-neg-out_binary64_4470` `distribute-rgt-neg-in_binary64_4469` `distribute-lft-neg-in_binary64_4468` `distribute-rgt1-in_binary64_4467` `distribute-lft1-in_binary64_4466` `distribute-rgt-out--_binary64_4465` `distribute-rgt-out_binary64_4464` `distribute-lft-out--_binary64_4463` `distribute-lft-out_binary64_4462` `distribute-rgt-in_binary64_4461` `distribute-lft-in_binary64_4460` `count-2_binary64_4459` `associate-/l/_binary64_4458` `associate-/r/_binary64_4457` `associate-/l_binary64_4456` `associate-/r_binary64_4455` `associate-l/_binary64_4454` `associate-r/_binary64_4453` `associate-l_binary64_4452` `associate-r*_binary64_4451` `associate--r-_binary64_4450` `associate--l-_binary64_4449` `associate--l+_binary64_4448` `associate--r+_binary64_4447` `associate-+l-_binary64_4446` `associate-+r-_binary64_4445`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	52
1	37	52
2	60	52
3	60	52
4	60	52
0	3	3
1	3	3

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
6.2%	93.6%	0.1%	6
15.6%	84.3%	0.1%	7
31.2%	68.6%	0.1%	8
39%	56.2%	4.8%	9
50.7%	43.7%	5.6%	10
60.3%	33.7%	6%	11
64.6%	26.5%	8.9%	12
70.5%	20.3%	9.2%	13
74.6%	16.1%	9.4%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample17.0ms (1.1%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	128	valid
0.0ms	9×	body	128	invalid

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify8.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

5×	`+-commutative_binary64_4441`
3×	`associate-+l+_binary64_4444` `associate-+r+_binary64_4443`
1×	`*-commutative_binary64_4442`
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_4774` `erf-erfc_binary64_4773` `erf-odd_binary64_4772` `if-if-and-not_binary64_4771` `if-if-and_binary64_4770` `if-if-or-not_binary64_4769` `if-if-or_binary64_4768` `if-not_binary64_4767` `if-same_binary64_4766` `if-false_binary64_4765` `if-true_binary64_4764` `not-gte_binary64_4763` `not-lte_binary64_4762` `not-gt_binary64_4761` `not-lt_binary64_4760` `gte-same_binary64_4759` `lte-same_binary64_4758` `gt-same_binary64_4757` `lt-same_binary64_4756` `sinh---cosh_binary64_4703` `sinh-+-cosh_binary64_4702` `sinh-cosh_binary64_4701` `tanh-def-c_binary64_4700` `tanh-def-b_binary64_4699` `tanh-def-a_binary64_4698` `cosh-def_binary64_4697` `sinh-def_binary64_4696` `tan-neg_binary64_4643` `cos-neg_binary64_4642` `sin-neg_binary64_4641` `tan-0_binary64_4640` `cos-0_binary64_4639` `sin-0_binary64_4638` `hang-m-tan_binary64_4637` `hang-p-tan_binary64_4636` `hang-m0-tan_binary64_4635` `hang-p0-tan_binary64_4634` `hang-0m-tan_binary64_4633` `hang-0p-tan_binary64_4632` `tan-+PI/2_binary64_4631` `tan-+PI_binary64_4630` `tan-PI_binary64_4629` `tan-PI/3_binary64_4628` `tan-PI/4_binary64_4627` `tan-PI/6_binary64_4626` `cos-+PI/2_binary64_4625` `cos-+PI_binary64_4624` `cos-PI_binary64_4623` `cos-PI/2_binary64_4622` `cos-PI/3_binary64_4621` `cos-PI/4_binary64_4620` `cos-PI/6_binary64_4619` `sin-+PI/2_binary64_4618` `sin-+PI_binary64_4617` `sin-PI_binary64_4616` `sin-PI/2_binary64_4615` `sin-PI/3_binary64_4614` `sin-PI/4_binary64_4613` `sin-PI/6_binary64_4612` `sub-1-sin_binary64_4611` `sub-1-cos_binary64_4610` `-1-add-sin_binary64_4609` `-1-add-cos_binary64_4608` `1-sub-sin_binary64_4607` `1-sub-cos_binary64_4606` `cos-sin-sum_binary64_4605` `log-E_binary64_4601` `log-pow_binary64_4600` `log-rec_binary64_4599` `log-div_binary64_4598` `log-prod_binary64_4597` `pow-base-0_binary64_4595` `unpow1/3_binary64_4578` `unpow3_binary64_4577` `unpow2_binary64_4576` `unpow1/2_binary64_4575` `pow-plus_binary64_4574` `exp-to-pow_binary64_4573` `pow-base-1_binary64_4571` `unpow0_binary64_4570` `unpow1_binary64_4569` `unpow-1_binary64_4568` `exp-lft-cube_binary64_4567` `exp-lft-sqr_binary64_4566` `exp-cbrt_binary64_4565` `exp-sqrt_binary64_4564` `exp-prod_binary64_4563` `div-exp_binary64_4562` `rec-exp_binary64_4561` `prod-exp_binary64_4560` `exp-diff_binary64_4559` `exp-neg_binary64_4558` `exp-sum_binary64_4557` `e-exp-1_binary64_4556` `1-exp_binary64_4555` `exp-1-e_binary64_4554` `exp-0_binary64_4553` `rem-log-exp_binary64_4552` `rem-exp-log_binary64_4551` `cube-unmult_binary64_4548` `cube-mult_binary64_4541` `cube-div_binary64_4540` `cube-prod_binary64_4539` `cube-neg_binary64_4538` `rem-3cbrt-rft_binary64_4537` `rem-3cbrt-lft_binary64_4536` `rem-cbrt-cube_binary64_4535` `rem-cube-cbrt_binary64_4534` `sqr-abs_binary64_4526` `sqr-neg_binary64_4525` `rem-sqrt-square_binary64_4524` `rem-square-sqrt_binary64_4523` `times-frac_binary64_4517` `div-sub_binary64_4516` `neg-mul-1_binary64_4507` `neg-sub0_binary64_4506` `unsub-neg_binary64_4505` `sub-neg_binary64_4504` `mul-1-neg_binary64_4503` `/-rgt-identity_binary64_4502` `-rgt-identity_binary64_4501` `-lft-identity_binary64_4500` `remove-double-neg_binary64_4499` `sub0-neg_binary64_4498` `--rgt-identity_binary64_4497` `+-rgt-identity_binary64_4496` `+-lft-identity_binary64_4495` `mul0-rgt_binary64_4494` `mul0-lft_binary64_4493` `div0_binary64_4492` `-inverses_binary64_4491` `+-inverses_binary64_4490` `lft-mult-inverse_binary64_4489` `rgt-mult-inverse_binary64_4488` `remove-double-div_binary64_4487` `pow-sqr_binary64_4484` `sqr-pow_binary64_4483` `difference-of-sqr--1_binary64_4482` `difference-of-sqr-1_binary64_4481` `difference-of-squares_binary64_4480` `unswap-sqr_binary64_4479` `swap-sqr_binary64_4478` `cancel-sign-sub-inv_binary64_4477` `cancel-sign-sub_binary64_4476` `distribute-neg-frac_binary64_4475` `distribute-frac-neg_binary64_4474` `distribute-neg-out_binary64_4473` `distribute-neg-in_binary64_4472` `distribute-rgt-neg-out_binary64_4471` `distribute-lft-neg-out_binary64_4470` `distribute-rgt-neg-in_binary64_4469` `distribute-lft-neg-in_binary64_4468` `distribute-rgt1-in_binary64_4467` `distribute-lft1-in_binary64_4466` `distribute-rgt-out--_binary64_4465` `distribute-rgt-out_binary64_4464` `distribute-lft-out--_binary64_4463` `distribute-lft-out_binary64_4462` `distribute-rgt-in_binary64_4461` `distribute-lft-in_binary64_4460` `count-2_binary64_4459` `associate-/l/_binary64_4458` `associate-/r/_binary64_4457` `associate-/l_binary64_4456` `associate-/r_binary64_4455` `associate-l/_binary64_4454` `associate-r/_binary64_4453` `associate-l_binary64_4452` `associate-r*_binary64_4451` `associate--r-_binary64_4450` `associate--l-_binary64_4449` `associate--l+_binary64_4448` `associate--r+_binary64_4447` `associate-+l-_binary64_4446` `associate-+r-_binary64_4445`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	14	13
2	20	13
3	20	13
4	20	13

prune2.0ms (0.1%)

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 (0.4%)

Local error

Found 1 expressions with local error:

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

rewrite22.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

3×	`add-log-exp_binary64_4550`
1×	`sum-log_binary64_4602` `pow1_binary64_4572` `add-exp-log_binary64_4549` `add-cbrt-cube_binary64_4547` `add-cube-cbrt_binary64_4546` `add-sqr-sqrt_binary64_4533` `flip3-+_binary64_4514` `*-un-lft-identity_binary64_4511` `flip-+_binary64_4485` `+-commutative_binary64_4441`

Counts

1 → 11

Calls

1 calls:

7.0ms

(+.f64 (/.f64 x 2) (*.f64 y x))

Compiler

Compiled 200 to 108 computations (46% saved)

series105.0ms (6.8%)

Error

Counts

1 → 9

Calls

1 calls:

98.0ms

(+.f64 (/.f64 x 2) (*.f64 y x))

Compiler

Compiled 174 to 138 computations (20.7% saved)

simplify80.0ms (5.2%)

Algorithm

1×	egg-herbie

Rules

479×	`div-sub_binary64_4516`
422×	`distribute-rgt-in_binary64_4461`
372×	`distribute-rgt-out_binary64_4464` `associate-/l*_binary64_4456`
365×	`times-frac_binary64_4517`
329×	`associate-+l+_binary64_4444`
324×	`distribute-lft-in_binary64_4460`
232×	`unswap-sqr_binary64_4479`
225×	`*-commutative_binary64_4442`
214×	`associate-l_binary64_4452`
174×	`associate-/r/_binary64_4457`
166×	`associate-r_binary64_4451`
162×	`unsub-neg_binary64_4505`
160×	`sub-neg_binary64_4504`
148×	`distribute-lft-out_binary64_4462` `associate-/l/_binary64_4458`
130×	`distribute-rgt-out--_binary64_4465`
120×	`cancel-sign-sub-inv_binary64_4477`
110×	`associate-*l/_binary64_4454`
107×	`distribute-rgt-neg-in_binary64_4469`
106×	`distribute-lft-neg-in_binary64_4468`
81×	`distribute-lft-neg-out_binary64_4470`
80×	`+-commutative_binary64_4441`
66×	`associate-*r/_binary64_4453`
65×	`distribute-rgt-neg-out_binary64_4471`
63×	`distribute-lft-out--_binary64_4463`
59×	`associate-+l-_binary64_4446`
55×	`sqr-pow_binary64_4483`
51×	`distribute-neg-in_binary64_4472`
47×	`associate-+r+_binary64_4443`
45×	`neg-mul-1_binary64_4507` `distribute-neg-frac_binary64_4475`
44×	`cancel-sign-sub_binary64_4476`
42×	`associate-/r*_binary64_4455`
41×	`associate--r+_binary64_4447`
40×	`neg-sub0_binary64_4506`
34×	`cube-prod_binary64_4539`
33×	`exp-prod_binary64_4563`
30×	`sub0-neg_binary64_4498` `mul0-rgt_binary64_4494` `mul0-lft_binary64_4493`
28×	`distribute-neg-out_binary64_4473`
24×	`associate-+r-_binary64_4445`
19×	`cube-unmult_binary64_4548`
18×	`count-2_binary64_4459`
16×	`pow-plus_binary64_4574`
15×	`pow-sqr_binary64_4484`
13×	`exp-diff_binary64_4559` `exp-sum_binary64_4557`
12×	`cube-div_binary64_4540` `remove-double-neg_binary64_4499`
11×	`+-rgt-identity_binary64_4496`
10×	`unpow3_binary64_4577` `cube-neg_binary64_4538` `associate--l+_binary64_4448`
9×	`swap-sqr_binary64_4478` `distribute-frac-neg_binary64_4474` `associate--r-_binary64_4450`
7×	`distribute-rgt1-in_binary64_4467`
6×	`sqr-neg_binary64_4525`
5×	`exp-neg_binary64_4558`
4×	`cube-mult_binary64_4541` `div0_binary64_4492`
3×	`log-prod_binary64_4597` `exp-sqrt_binary64_4564` `*-lft-identity_binary64_4500` `+-lft-identity_binary64_4495` `difference-of-squares_binary64_4480` `associate--l-_binary64_4449`
2×	`unpow2_binary64_4576` `exp-lft-sqr_binary64_4566`
1×	`prod-exp_binary64_4560` `1-exp_binary64_4555` `/-rgt-identity_binary64_4502` `--rgt-identity_binary64_4497`
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_4774` `erf-erfc_binary64_4773` `erf-odd_binary64_4772` `if-if-and-not_binary64_4771` `if-if-and_binary64_4770` `if-if-or-not_binary64_4769` `if-if-or_binary64_4768` `if-not_binary64_4767` `if-same_binary64_4766` `if-false_binary64_4765` `if-true_binary64_4764` `not-gte_binary64_4763` `not-lte_binary64_4762` `not-gt_binary64_4761` `not-lt_binary64_4760` `gte-same_binary64_4759` `lte-same_binary64_4758` `gt-same_binary64_4757` `lt-same_binary64_4756` `sinh---cosh_binary64_4703` `sinh-+-cosh_binary64_4702` `sinh-cosh_binary64_4701` `tanh-def-c_binary64_4700` `tanh-def-b_binary64_4699` `tanh-def-a_binary64_4698` `cosh-def_binary64_4697` `sinh-def_binary64_4696` `tan-neg_binary64_4643` `cos-neg_binary64_4642` `sin-neg_binary64_4641` `tan-0_binary64_4640` `cos-0_binary64_4639` `sin-0_binary64_4638` `hang-m-tan_binary64_4637` `hang-p-tan_binary64_4636` `hang-m0-tan_binary64_4635` `hang-p0-tan_binary64_4634` `hang-0m-tan_binary64_4633` `hang-0p-tan_binary64_4632` `tan-+PI/2_binary64_4631` `tan-+PI_binary64_4630` `tan-PI_binary64_4629` `tan-PI/3_binary64_4628` `tan-PI/4_binary64_4627` `tan-PI/6_binary64_4626` `cos-+PI/2_binary64_4625` `cos-+PI_binary64_4624` `cos-PI_binary64_4623` `cos-PI/2_binary64_4622` `cos-PI/3_binary64_4621` `cos-PI/4_binary64_4620` `cos-PI/6_binary64_4619` `sin-+PI/2_binary64_4618` `sin-+PI_binary64_4617` `sin-PI_binary64_4616` `sin-PI/2_binary64_4615` `sin-PI/3_binary64_4614` `sin-PI/4_binary64_4613` `sin-PI/6_binary64_4612` `sub-1-sin_binary64_4611` `sub-1-cos_binary64_4610` `-1-add-sin_binary64_4609` `-1-add-cos_binary64_4608` `1-sub-sin_binary64_4607` `1-sub-cos_binary64_4606` `cos-sin-sum_binary64_4605` `log-E_binary64_4601` `log-pow_binary64_4600` `log-rec_binary64_4599` `log-div_binary64_4598` `pow-base-0_binary64_4595` `unpow1/3_binary64_4578` `unpow1/2_binary64_4575` `exp-to-pow_binary64_4573` `pow-base-1_binary64_4571` `unpow0_binary64_4570` `unpow1_binary64_4569` `unpow-1_binary64_4568` `exp-lft-cube_binary64_4567` `exp-cbrt_binary64_4565` `div-exp_binary64_4562` `rec-exp_binary64_4561` `e-exp-1_binary64_4556` `exp-1-e_binary64_4554` `exp-0_binary64_4553` `rem-log-exp_binary64_4552` `rem-exp-log_binary64_4551` `rem-3cbrt-rft_binary64_4537` `rem-3cbrt-lft_binary64_4536` `rem-cbrt-cube_binary64_4535` `rem-cube-cbrt_binary64_4534` `sqr-abs_binary64_4526` `rem-sqrt-square_binary64_4524` `rem-square-sqrt_binary64_4523` `mul-1-neg_binary64_4503` `-rgt-identity_binary64_4501` `-inverses_binary64_4491` `+-inverses_binary64_4490` `lft-mult-inverse_binary64_4489` `rgt-mult-inverse_binary64_4488` `remove-double-div_binary64_4487` `difference-of-sqr--1_binary64_4482` `difference-of-sqr-1_binary64_4481` `distribute-lft1-in_binary64_4466`

Counts

20 → 12

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	35	262
1	109	241
2	278	235
3	640	229
4	1429	229
5	3052	200
6	4217	200
7	5378	200

prune13.0ms (0.8%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	11	1	12
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	12	1	13

Error

Counts

13 → 1

Compiler

Compiled 155 to 105 computations (32.3% saved)

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

rewrite26.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

5×	`add-sqr-sqrt_binary64_4533` `*-un-lft-identity_binary64_4511`
4×	`associate-r_binary64_4451`
3×	`pow1_binary64_4572` `add-exp-log_binary64_4549` `add-cbrt-cube_binary64_4547` `add-cube-cbrt_binary64_4546` `associate-l_binary64_4452`
2×	`associate-*r/_binary64_4453`
1×	`pow-prod-down_binary64_4582` `prod-exp_binary64_4560` `add-log-exp_binary64_4550` `cbrt-unprod_binary64_4544` `unswap-sqr_binary64_4479` `distribute-rgt-in_binary64_4461` `distribute-lft-in_binary64_4460` `flip3-+_binary64_4514` `flip-+_binary64_4485` `distribute-lft-out_binary64_4462` `*-commutative_binary64_4442`

Counts

1 → 23

Calls

1 calls:

6.0ms

(*.f64 x (+.f64 y 1/2))

Compiler

Compiled 295 to 194 computations (34.2% saved)

series86.0ms (5.5%)

Error

Counts

1 → 9

Calls

1 calls:

80.0ms

(*.f64 x (+.f64 y 1/2))

Compiler

Compiled 174 to 138 computations (20.7% saved)

simplify87.0ms (5.6%)

Algorithm

1×	egg-herbie

Rules

898×	`distribute-rgt-in_binary64_4461`
894×	`distribute-lft-in_binary64_4460`
706×	`times-frac_binary64_4517`
266×	`associate-*l/_binary64_4454`
254×	`distribute-rgt-out_binary64_4464`
247×	`associate-l_binary64_4452`
198×	`associate-*r/_binary64_4453`
178×	`associate-r_binary64_4451`
139×	`*-commutative_binary64_4442`
134×	`associate-+l+_binary64_4444`
132×	`unswap-sqr_binary64_4479` `associate-+r+_binary64_4443`
90×	`sqr-pow_binary64_4483`
84×	`log-prod_binary64_4597`
69×	`log-div_binary64_4598` `*-lft-identity_binary64_4500`
68×	`*-rgt-identity_binary64_4501`
66×	`distribute-lft-out_binary64_4462`
61×	`rem-sqrt-square_binary64_4524`
48×	`pow-sqr_binary64_4484`
45×	`associate-/l*_binary64_4456`
42×	`exp-prod_binary64_4563` `cube-prod_binary64_4539`
41×	`associate-/l/_binary64_4458`
39×	`cube-div_binary64_4540`
21×	`associate-/r*_binary64_4455`
17×	`associate-/r/_binary64_4457`
15×	`swap-sqr_binary64_4478`
12×	`exp-sqrt_binary64_4564`
10×	`+-commutative_binary64_4441`
9×	`unpow3_binary64_4577` `cube-unmult_binary64_4548`
8×	`distribute-rgt1-in_binary64_4467`
6×	`log-rec_binary64_4599` `unpow1/2_binary64_4575`
5×	`pow-plus_binary64_4574` `exp-sum_binary64_4557` `cube-mult_binary64_4541`
3×	`count-2_binary64_4459`
2×	`exp-lft-sqr_binary64_4566` `sub-neg_binary64_4504` `distribute-lft1-in_binary64_4466`
1×	`unpow2_binary64_4576` `prod-exp_binary64_4560` `1-exp_binary64_4555` `exp-1-e_binary64_4554` `/-rgt-identity_binary64_4502` `remove-double-div_binary64_4487`
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_4774` `erf-erfc_binary64_4773` `erf-odd_binary64_4772` `if-if-and-not_binary64_4771` `if-if-and_binary64_4770` `if-if-or-not_binary64_4769` `if-if-or_binary64_4768` `if-not_binary64_4767` `if-same_binary64_4766` `if-false_binary64_4765` `if-true_binary64_4764` `not-gte_binary64_4763` `not-lte_binary64_4762` `not-gt_binary64_4761` `not-lt_binary64_4760` `gte-same_binary64_4759` `lte-same_binary64_4758` `gt-same_binary64_4757` `lt-same_binary64_4756` `sinh---cosh_binary64_4703` `sinh-+-cosh_binary64_4702` `sinh-cosh_binary64_4701` `tanh-def-c_binary64_4700` `tanh-def-b_binary64_4699` `tanh-def-a_binary64_4698` `cosh-def_binary64_4697` `sinh-def_binary64_4696` `tan-neg_binary64_4643` `cos-neg_binary64_4642` `sin-neg_binary64_4641` `tan-0_binary64_4640` `cos-0_binary64_4639` `sin-0_binary64_4638` `hang-m-tan_binary64_4637` `hang-p-tan_binary64_4636` `hang-m0-tan_binary64_4635` `hang-p0-tan_binary64_4634` `hang-0m-tan_binary64_4633` `hang-0p-tan_binary64_4632` `tan-+PI/2_binary64_4631` `tan-+PI_binary64_4630` `tan-PI_binary64_4629` `tan-PI/3_binary64_4628` `tan-PI/4_binary64_4627` `tan-PI/6_binary64_4626` `cos-+PI/2_binary64_4625` `cos-+PI_binary64_4624` `cos-PI_binary64_4623` `cos-PI/2_binary64_4622` `cos-PI/3_binary64_4621` `cos-PI/4_binary64_4620` `cos-PI/6_binary64_4619` `sin-+PI/2_binary64_4618` `sin-+PI_binary64_4617` `sin-PI_binary64_4616` `sin-PI/2_binary64_4615` `sin-PI/3_binary64_4614` `sin-PI/4_binary64_4613` `sin-PI/6_binary64_4612` `sub-1-sin_binary64_4611` `sub-1-cos_binary64_4610` `-1-add-sin_binary64_4609` `-1-add-cos_binary64_4608` `1-sub-sin_binary64_4607` `1-sub-cos_binary64_4606` `cos-sin-sum_binary64_4605` `log-E_binary64_4601` `log-pow_binary64_4600` `pow-base-0_binary64_4595` `unpow1/3_binary64_4578` `exp-to-pow_binary64_4573` `pow-base-1_binary64_4571` `unpow0_binary64_4570` `unpow1_binary64_4569` `unpow-1_binary64_4568` `exp-lft-cube_binary64_4567` `exp-cbrt_binary64_4565` `div-exp_binary64_4562` `rec-exp_binary64_4561` `exp-diff_binary64_4559` `exp-neg_binary64_4558` `e-exp-1_binary64_4556` `exp-0_binary64_4553` `rem-log-exp_binary64_4552` `rem-exp-log_binary64_4551` `cube-neg_binary64_4538` `rem-3cbrt-rft_binary64_4537` `rem-3cbrt-lft_binary64_4536` `rem-cbrt-cube_binary64_4535` `rem-cube-cbrt_binary64_4534` `sqr-abs_binary64_4526` `sqr-neg_binary64_4525` `rem-square-sqrt_binary64_4523` `div-sub_binary64_4516` `neg-mul-1_binary64_4507` `neg-sub0_binary64_4506` `unsub-neg_binary64_4505` `mul-1-neg_binary64_4503` `remove-double-neg_binary64_4499` `sub0-neg_binary64_4498` `--rgt-identity_binary64_4497` `+-rgt-identity_binary64_4496` `+-lft-identity_binary64_4495` `mul0-rgt_binary64_4494` `mul0-lft_binary64_4493` `div0_binary64_4492` `*-inverses_binary64_4491` `+-inverses_binary64_4490` `lft-mult-inverse_binary64_4489` `rgt-mult-inverse_binary64_4488` `difference-of-sqr--1_binary64_4482` `difference-of-sqr-1_binary64_4481` `difference-of-squares_binary64_4480` `cancel-sign-sub-inv_binary64_4477` `cancel-sign-sub_binary64_4476` `distribute-neg-frac_binary64_4475` `distribute-frac-neg_binary64_4474` `distribute-neg-out_binary64_4473` `distribute-neg-in_binary64_4472` `distribute-rgt-neg-out_binary64_4471` `distribute-lft-neg-out_binary64_4470` `distribute-rgt-neg-in_binary64_4469` `distribute-lft-neg-in_binary64_4468` `distribute-rgt-out--_binary64_4465` `distribute-lft-out--_binary64_4463` `associate--r-_binary64_4450` `associate--l-_binary64_4449` `associate--l+_binary64_4448` `associate--r+_binary64_4447` `associate-+l-_binary64_4446` `associate-+r-_binary64_4445`

Counts

32 → 14

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	50	296
1	123	266
2	364	266
3	838	266
4	2543	266
5	2619	266
6	3783	266
7	4870	266
8	4891	266

prune9.0ms (0.6%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	14	0	14
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	14	1	15

Error

Counts

15 → 1

Compiler

Compiled 137 to 86 computations (37.2% saved)

regimes92.0ms (6%)

Accuracy

Total 0.0b remaining (64.9%)

Threshold costs 0.0b (64.9%)

Compiler

Compiled 432 to 392 computations (9.3% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative_binary64_4441`
1×	`*-commutative_binary64_4442`
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_4771` `if-if-and_binary64_4770` `if-if-or-not_binary64_4769` `if-if-or_binary64_4768` `if-not_binary64_4767` `if-same_binary64_4766` `if-false_binary64_4765` `if-true_binary64_4764` `tan-0_binary64_4640` `cos-0_binary64_4639` `sin-0_binary64_4638` `unpow1_binary64_4569` `e-exp-1_binary64_4556` `1-exp_binary64_4555` `exp-1-e_binary64_4554` `exp-0_binary64_4553` `sqr-abs_binary64_4526` `sqr-neg_binary64_4525` `neg-mul-1_binary64_4507` `neg-sub0_binary64_4506` `unsub-neg_binary64_4505` `sub-neg_binary64_4504` `mul-1-neg_binary64_4503` `/-rgt-identity_binary64_4502` `-rgt-identity_binary64_4501` `-lft-identity_binary64_4500` `remove-double-neg_binary64_4499` `sub0-neg_binary64_4498` `--rgt-identity_binary64_4497` `+-rgt-identity_binary64_4496` `+-lft-identity_binary64_4495` `cancel-sign-sub-inv_binary64_4477` `cancel-sign-sub_binary64_4476` `distribute-neg-frac_binary64_4475` `distribute-frac-neg_binary64_4474` `distribute-neg-out_binary64_4473` `distribute-neg-in_binary64_4472` `distribute-rgt-neg-out_binary64_4471` `distribute-lft-neg-out_binary64_4470` `distribute-rgt-neg-in_binary64_4469` `distribute-lft-neg-in_binary64_4468`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	11	10
2	11	10

end0.0ms (0%)

sample602.0ms (38.8%)

Algorithm

1×

intervals

Results

225.0ms	8000×	body	128	valid
8.0ms	311×	body	128	invalid

Compiler

Compiled 86 to 80 computations (7% saved)

Details

analyze388.0ms (25%)

sample17.0ms (1.1%)

simplify8.0ms (0.5%)

prune2.0ms (0.1%)

localize6.0ms (0.4%)

rewrite22.0ms (1.4%)

series105.0ms (6.8%)

simplify80.0ms (5.2%)

prune13.0ms (0.8%)

localize5.0ms (0.3%)

rewrite26.0ms (1.7%)

series86.0ms (5.5%)

simplify87.0ms (5.6%)

prune9.0ms (0.6%)

regimes92.0ms (6%)

bsearch0.0ms (0%)

simplify3.0ms (0.2%)

end0.0ms (0%)

sample602.0ms (38.8%)

Profiling