Details

analyze483.0ms (13%)

Algorithm

1×	search
2×	egg-herbie

Rules

322×	`cancel-sign-sub-inv_binary64_4477`
134×	`sub-neg_binary64_4504`
126×	`distribute-rgt-in_binary64_4461`
123×	`associate--r+_binary64_4447`
93×	`unsub-neg_binary64_4505`
91×	`distribute-rgt-neg-in_binary64_4469`
75×	`distribute-lft-in_binary64_4460`
69×	`distribute-neg-in_binary64_4472`
62×	`associate-+l-_binary64_4446`
49×	`neg-mul-1_binary64_4507`
48×	`associate-+l+_binary64_4444`
47×	`+-commutative_binary64_4441`
46×	`distribute-lft-neg-out_binary64_4470`
44×	`distribute-lft-neg-in_binary64_4468`
43×	`associate--l+_binary64_4448`
37×	`associate-r_binary64_4451`
36×	`associate-+r+_binary64_4443`
35×	`*-commutative_binary64_4442`
34×	`sub0-neg_binary64_4498`
28×	`associate--r-_binary64_4450`
27×	`neg-sub0_binary64_4506` `distribute-rgt-out--_binary64_4465`
22×	`+-lft-identity_binary64_4495`
20×	`*-lft-identity_binary64_4500`
18×	`mul0-rgt_binary64_4494` `mul0-lft_binary64_4493`
17×	`distribute-rgt-neg-out_binary64_4471`
12×	`remove-double-neg_binary64_4499`
11×	`associate-+r-_binary64_4445`
8×	`associate-l_binary64_4452`
6×	`+-rgt-identity_binary64_4496` `distribute-rgt-out_binary64_4464`
4×	`distribute-rgt1-in_binary64_4467`
3×	`mul-1-neg_binary64_4503` `*-rgt-identity_binary64_4501` `--rgt-identity_binary64_4497`
1×	`1-exp_binary64_4555`
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` `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` `/-rgt-identity_binary64_4502` `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_binary64_4476` `distribute-neg-frac_binary64_4475` `distribute-frac-neg_binary64_4474` `distribute-neg-out_binary64_4473` `distribute-lft1-in_binary64_4466` `distribute-lft-out--_binary64_4463` `distribute-lft-out_binary64_4462` `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_4449`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	52
1	37	52
2	54	52
3	72	40
4	104	40
5	157	40
6	244	40
7	403	40
8	749	40
9	898	40
10	839	40
11	838	40
12	838	40
13	779	40
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
29.6%	70.2%	0.1%	8
33.5%	63.2%	3.3%	9
43.3%	49.5%	7.2%	10
52.1%	39.2%	8.7%	11
54.5%	34.2%	11.3%	12
60.6%	25.6%	13.8%	13
65.2%	20.4%	14.4%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample18.0ms (0.5%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	128	valid
1.0ms	27×	body	128	invalid

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify21.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

95×	`cancel-sign-sub-inv_binary64_4477`
50×	`sub-neg_binary64_4504`
42×	`distribute-rgt-neg-in_binary64_4469`
39×	`associate--r+_binary64_4447`
38×	`distribute-rgt-in_binary64_4461`
35×	`unsub-neg_binary64_4505`
25×	`distribute-neg-in_binary64_4472`
23×	`associate-+l-_binary64_4446`
22×	`distribute-lft-neg-out_binary64_4470`
21×	`neg-mul-1_binary64_4507` `distribute-lft-neg-in_binary64_4468`
20×	`distribute-lft-in_binary64_4460`
16×	`associate-r_binary64_4451` `+-commutative_binary64_4441`
15×	`neg-sub0_binary64_4506` `*-commutative_binary64_4442`
13×	`associate-+l+_binary64_4444`
12×	`associate--l+_binary64_4448`
11×	`sub0-neg_binary64_4498`
10×	`mul0-rgt_binary64_4494` `mul0-lft_binary64_4493` `associate-+r+_binary64_4443`
9×	`associate--r-_binary64_4450`
8×	`*-lft-identity_binary64_4500` `distribute-rgt-out--_binary64_4465`
7×	`remove-double-neg_binary64_4499`
6×	`+-lft-identity_binary64_4495` `distribute-rgt-neg-out_binary64_4471`
5×	`associate-+r-_binary64_4445`
4×	`+-rgt-identity_binary64_4496`
2×	`--rgt-identity_binary64_4497` `distribute-rgt-out_binary64_4464` `associate-l_binary64_4452`
1×	`1-exp_binary64_4555` `mul-1-neg_binary64_4503` `*-rgt-identity_binary64_4501` `distribute-rgt1-in_binary64_4467`
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` `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` `/-rgt-identity_binary64_4502` `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_binary64_4476` `distribute-neg-frac_binary64_4475` `distribute-frac-neg_binary64_4474` `distribute-neg-out_binary64_4473` `distribute-lft1-in_binary64_4466` `distribute-lft-out--_binary64_4463` `distribute-lft-out_binary64_4462` `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_4449`

Counts

1 → 1

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	17	13
2	24	13
3	31	10
4	39	10
5	56	10
6	87	10
7	146	10
8	266	10
9	353	10
10	344	10
11	344	10
12	301	10

prune3.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.0b

Counts

2 → 2

Compiler

Compiled 23 to 20 computations (13% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 (-.f64 x 1) z)
0.0b	(+.f64 (.f64 x y) (.f64 (-.f64 x 1) z))

rewrite50.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

10×	`add-sqr-sqrt_binary64_4533`
7×	`-un-lft-identity_binary64_4511` `associate-l*_binary64_4452`
4×	`add-log-exp_binary64_4550` `pow1_binary64_4572` `add-exp-log_binary64_4549` `add-cbrt-cube_binary64_4547` `add-cube-cbrt_binary64_4546`
3×	`associate-r_binary64_4451`
2×	`associate-*l/_binary64_4454` `difference-of-squares_binary64_4480`
1×	`sum-log_binary64_4602` `flip3-+_binary64_4514` `flip-+_binary64_4485` `+-commutative_binary64_4441` `pow-prod-down_binary64_4582` `prod-exp_binary64_4560` `cbrt-unprod_binary64_4544` `unswap-sqr_binary64_4479` `flip3--_binary64_4515` `flip--_binary64_4486` `difference-of-sqr-1_binary64_4481` `distribute-lft-out--_binary64_4463` `*-commutative_binary64_4442`

Counts

2 → 35

Calls

2 calls:

10.0ms	(*.f64 (-.f64 x 1) z)
5.0ms	(+.f64 (.f64 x y) (.f64 (-.f64 x 1) z))

Compiler

Compiled 586 to 323 computations (44.9% saved)

series306.0ms (8.2%)

Error

0.0b

Counts

2 → 27

Calls

2 calls:

196.0ms	(+.f64 (.f64 x y) (.f64 (-.f64 x 1) z))
93.0ms	(*.f64 (-.f64 x 1) z)

Compiler

Compiled 525 to 317 computations (39.6% saved)

simplify78.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

661×	`associate-+l+_binary64_4444`
334×	`associate-l_binary64_4452`
303×	`neg-mul-1_binary64_4507`
263×	`distribute-rgt-in_binary64_4461`
248×	`distribute-lft-in_binary64_4460`
244×	`associate-r_binary64_4451`
181×	`distribute-lft-neg-out_binary64_4470`
176×	`distribute-rgt-neg-out_binary64_4471`
140×	`cancel-sign-sub-inv_binary64_4477` `associate--r+_binary64_4447`
114×	`*-commutative_binary64_4442`
110×	`distribute-rgt-out_binary64_4464`
106×	`distribute-rgt-neg-in_binary64_4469`
102×	`distribute-neg-in_binary64_4472`
94×	`associate--l+_binary64_4448`
86×	`exp-prod_binary64_4563`
77×	`distribute-lft-neg-in_binary64_4468`
72×	`sub-neg_binary64_4504`
71×	`unsub-neg_binary64_4505`
69×	`associate-+r-_binary64_4445`
67×	`cube-prod_binary64_4539`
63×	`associate-+l-_binary64_4446`
61×	`exp-sum_binary64_4557`
59×	`unswap-sqr_binary64_4479`
52×	`distribute-lft-out_binary64_4462`
43×	`log-prod_binary64_4597`
42×	`exp-diff_binary64_4559`
41×	`sqr-pow_binary64_4483`
36×	`neg-sub0_binary64_4506`
30×	`*-rgt-identity_binary64_4501`
29×	`*-lft-identity_binary64_4500` `+-commutative_binary64_4441`
26×	`distribute-rgt-out--_binary64_4465`
24×	`div-sub_binary64_4516`
17×	`mul-1-neg_binary64_4503` `associate-+r+_binary64_4443`
15×	`associate--r-_binary64_4450`
14×	`+-rgt-identity_binary64_4496` `swap-sqr_binary64_4478`
13×	`unpow3_binary64_4577`
10×	`cube-unmult_binary64_4548`
9×	`cube-neg_binary64_4538` `sqr-neg_binary64_4525` `associate--l-_binary64_4449`
8×	`distribute-lft-out--_binary64_4463`
7×	`pow-sqr_binary64_4484` `associate-/l*_binary64_4456`
5×	`cube-mult_binary64_4541` `remove-double-neg_binary64_4499`
4×	`exp-neg_binary64_4558` `sub0-neg_binary64_4498`
3×	`difference-of-sqr-1_binary64_4481` `associate-*r/_binary64_4453`
2×	`unpow1/2_binary64_4575` `rem-sqrt-square_binary64_4524` `difference-of-squares_binary64_4480` `distribute-frac-neg_binary64_4474` `distribute-neg-out_binary64_4473` `distribute-lft1-in_binary64_4466` `associate-/l/_binary64_4458`
1×	`prod-exp_binary64_4560` `1-exp_binary64_4555` `exp-1-e_binary64_4554` `difference-of-sqr--1_binary64_4482` `count-2_binary64_4459` `associate-*l/_binary64_4454`
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` `unpow2_binary64_4576` `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` `div-exp_binary64_4562` `rec-exp_binary64_4561` `e-exp-1_binary64_4556` `exp-0_binary64_4553` `rem-log-exp_binary64_4552` `rem-exp-log_binary64_4551` `cube-div_binary64_4540` `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-square-sqrt_binary64_4523` `times-frac_binary64_4517` `/-rgt-identity_binary64_4502` `--rgt-identity_binary64_4497` `+-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` `cancel-sign-sub_binary64_4476` `distribute-neg-frac_binary64_4475` `distribute-rgt1-in_binary64_4467` `associate-/r/_binary64_4457` `associate-/r_binary64_4455`

Counts

62 → 51

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	77	681
1	200	624
2	592	624
3	1897	615
4	4615	615
5	5092	615

prune40.0ms (1.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	49	2	51
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	50	3	53

Error

Counts

53 → 3

Compiler

Compiled 641 to 185 computations (71.1% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

rewrite33.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

9×	`add-log-exp_binary64_4550`
6×	`cancel-sign-sub-inv_binary64_4477`
4×	`add-cube-cbrt_binary64_4546` `add-sqr-sqrt_binary64_4533` `*-un-lft-identity_binary64_4511` `associate-+r+_binary64_4443`
2×	`diff-log_binary64_4603` `sum-log_binary64_4602` `pow1_binary64_4572` `add-exp-log_binary64_4549` `add-cbrt-cube_binary64_4547` `sub-neg_binary64_4504`
1×	`flip3-+_binary64_4514` `flip-+_binary64_4485` `associate-+r-_binary64_4445` `+-commutative_binary64_4441` `flip3--_binary64_4515` `flip--_binary64_4486`

Counts

2 → 31

Calls

2 calls:

7.0ms	(+.f64 (.f64 x y) (-.f64 (.f64 z x) z))
4.0ms	(-.f64 (*.f64 z x) z)

Compiler

Compiled 519 to 114 computations (78% saved)

series266.0ms (7.1%)

Error

Counts

2 → 27

Calls

2 calls:

176.0ms	(+.f64 (.f64 x y) (-.f64 (.f64 z x) z))
77.0ms	(-.f64 (*.f64 z x) z)

Compiler

Compiled 531 to 323 computations (39.2% saved)

simplify85.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

421×	`associate-l_binary64_4452`
372×	`cancel-sign-sub-inv_binary64_4477`
360×	`associate-r_binary64_4451`
345×	`distribute-rgt-out_binary64_4464`
260×	`distribute-rgt-neg-out_binary64_4471`
256×	`distribute-lft-neg-out_binary64_4470`
251×	`distribute-rgt-in_binary64_4461`
240×	`distribute-lft-in_binary64_4460`
219×	`exp-prod_binary64_4563`
186×	`cube-prod_binary64_4539`
169×	`distribute-rgt-neg-in_binary64_4469`
161×	`log-prod_binary64_4597`
129×	`unswap-sqr_binary64_4479`
121×	`unsub-neg_binary64_4505`
119×	`distribute-lft-neg-in_binary64_4468`
92×	`*-commutative_binary64_4442`
77×	`distribute-neg-in_binary64_4472`
75×	`sub-neg_binary64_4504`
74×	`exp-sum_binary64_4557`
63×	`distribute-rgt-out--_binary64_4465`
55×	`sqr-pow_binary64_4483`
54×	`associate-+l+_binary64_4444`
52×	`swap-sqr_binary64_4478`
50×	`neg-sub0_binary64_4506`
43×	`+-commutative_binary64_4441`
38×	`associate-+r+_binary64_4443`
37×	`neg-mul-1_binary64_4507`
36×	`unpow3_binary64_4577`
32×	`distribute-lft-out_binary64_4462`
30×	`exp-diff_binary64_4559`
27×	`cube-mult_binary64_4541`
26×	`difference-of-squares_binary64_4480`
15×	`associate--r+_binary64_4447`
14×	`cube-unmult_binary64_4548` `mul0-rgt_binary64_4494` `mul0-lft_binary64_4493`
13×	`associate--l+_binary64_4448` `associate-+l-_binary64_4446` `associate-+r-_binary64_4445`
10×	`distribute-lft-out--_binary64_4463`
9×	`+-rgt-identity_binary64_4496`
8×	`pow-sqr_binary64_4484`
7×	`mul-1-neg_binary64_4503` `remove-double-neg_binary64_4499` `distribute-neg-out_binary64_4473` `distribute-rgt1-in_binary64_4467`
6×	`*-lft-identity_binary64_4500` `sub0-neg_binary64_4498`
5×	`div-exp_binary64_4562` `exp-neg_binary64_4558` `*-rgt-identity_binary64_4501`
4×	`pow-plus_binary64_4574` `prod-exp_binary64_4560` `distribute-lft1-in_binary64_4466` `associate-/l*_binary64_4456`
2×	`cube-neg_binary64_4538` `sqr-neg_binary64_4525` `rem-sqrt-square_binary64_4524` `difference-of-sqr--1_binary64_4482` `cancel-sign-sub_binary64_4476` `associate--r-_binary64_4450` `associate--l-_binary64_4449`
1×	`log-pow_binary64_4600` `1-exp_binary64_4555` `exp-1-e_binary64_4554` `rem-3cbrt-lft_binary64_4536` `rem-square-sqrt_binary64_4523` `div-sub_binary64_4516` `--rgt-identity_binary64_4497` `distribute-frac-neg_binary64_4474` `associate-/r/_binary64_4457` `associate-/r_binary64_4455` `associate-l/_binary64_4454` `associate-*r/_binary64_4453`
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-rec_binary64_4599` `log-div_binary64_4598` `pow-base-0_binary64_4595` `unpow1/3_binary64_4578` `unpow2_binary64_4576` `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-lft-sqr_binary64_4566` `exp-cbrt_binary64_4565` `exp-sqrt_binary64_4564` `rec-exp_binary64_4561` `e-exp-1_binary64_4556` `exp-0_binary64_4553` `rem-log-exp_binary64_4552` `rem-exp-log_binary64_4551` `cube-div_binary64_4540` `rem-3cbrt-rft_binary64_4537` `rem-cbrt-cube_binary64_4535` `rem-cube-cbrt_binary64_4534` `sqr-abs_binary64_4526` `times-frac_binary64_4517` `/-rgt-identity_binary64_4502` `+-lft-identity_binary64_4495` `div0_binary64_4492` `*-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_4481` `distribute-neg-frac_binary64_4475` `count-2_binary64_4459` `associate-/l/_binary64_4458`

Counts

58 → 44

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	72	617
1	191	584
2	536	581
3	2407	580
4	4573	580
5	5028	580

prune26.0ms (0.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	44	0	44
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	44	3	47

Error

Counts

47 → 3

Compiler

Compiled 495 to 110 computations (77.8% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b	(*.f64 x (+.f64 y z))

rewrite24.0ms (0.7%)

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 z))

Compiler

Compiled 295 to 103 computations (65.1% saved)

series132.0ms (3.5%)

Error

Counts

1 → 15

Calls

1 calls:

124.0ms

(*.f64 x (+.f64 y z))

Compiler

Compiled 285 to 162 computations (43.2% saved)

simplify109.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

936×	`distribute-rgt-in_binary64_4461`
925×	`distribute-lft-in_binary64_4460`
294×	`unswap-sqr_binary64_4479`
280×	`associate-l_binary64_4452`
268×	`distribute-rgt-out_binary64_4464`
208×	`associate-r_binary64_4451`
164×	`sqr-pow_binary64_4483` `*-commutative_binary64_4442`
149×	`associate-/l/_binary64_4458`
142×	`associate-+l+_binary64_4444`
132×	`associate-+r+_binary64_4443`
117×	`sub-neg_binary64_4504`
85×	`cancel-sign-sub-inv_binary64_4477`
80×	`*-rgt-identity_binary64_4501`
78×	`*-lft-identity_binary64_4500`
73×	`distribute-rgt-neg-in_binary64_4469`
67×	`rem-sqrt-square_binary64_4524`
66×	`pow-sqr_binary64_4484`
64×	`distribute-lft-neg-out_binary64_4470`
61×	`unsub-neg_binary64_4505`
60×	`distribute-lft-out_binary64_4462`
57×	`distribute-rgt-out--_binary64_4465`
54×	`distribute-rgt-neg-out_binary64_4471`
53×	`log-div_binary64_4598`
44×	`exp-prod_binary64_4563` `neg-mul-1_binary64_4507`
42×	`neg-sub0_binary64_4506` `distribute-lft-neg-in_binary64_4468`
40×	`associate--r+_binary64_4447`
36×	`cube-prod_binary64_4539`
35×	`associate-/l*_binary64_4456`
32×	`distribute-neg-in_binary64_4472`
30×	`cube-div_binary64_4540`
29×	`log-prod_binary64_4597` `associate-*r/_binary64_4453`
24×	`associate-/r/_binary64_4457`
23×	`associate-+r-_binary64_4445`
20×	`associate-+l-_binary64_4446`
18×	`unpow3_binary64_4577`
16×	`times-frac_binary64_4517`
15×	`cube-unmult_binary64_4548` `sub0-neg_binary64_4498` `distribute-neg-out_binary64_4473` `associate-/r*_binary64_4455` `+-commutative_binary64_4441`
14×	`+-rgt-identity_binary64_4496`
11×	`swap-sqr_binary64_4478`
10×	`cube-mult_binary64_4541`
9×	`exp-sum_binary64_4557` `cancel-sign-sub_binary64_4476` `associate--l+_binary64_4448`
8×	`pow-plus_binary64_4574` `distribute-rgt1-in_binary64_4467`
7×	`unpow1/2_binary64_4575` `distribute-neg-frac_binary64_4475`
5×	`log-rec_binary64_4599` `remove-double-neg_binary64_4499` `mul0-rgt_binary64_4494` `mul0-lft_binary64_4493` `distribute-lft-out--_binary64_4463`
4×	`unpow2_binary64_4576` `exp-diff_binary64_4559` `div-sub_binary64_4516` `difference-of-squares_binary64_4480`
3×	`exp-sqrt_binary64_4564` `count-2_binary64_4459` `associate--r-_binary64_4450`
2×	`unpow1_binary64_4569` `exp-lft-sqr_binary64_4566` `--rgt-identity_binary64_4497` `+-inverses_binary64_4490`
1×	`prod-exp_binary64_4560` `1-exp_binary64_4555` `exp-1-e_binary64_4554` `/-rgt-identity_binary64_4502` `+-lft-identity_binary64_4495` `distribute-lft1-in_binary64_4466` `associate-*l/_binary64_4454`
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` `unpow-1_binary64_4568` `exp-lft-cube_binary64_4567` `exp-cbrt_binary64_4565` `div-exp_binary64_4562` `rec-exp_binary64_4561` `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` `mul-1-neg_binary64_4503` `div0_binary64_4492` `*-inverses_binary64_4491` `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-frac-neg_binary64_4474` `associate--l-_binary64_4449`

Counts

38 → 23

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	49	335
1	129	305
2	397	305
3	952	305
4	2757	305
5	2956	305
6	3732	305
7	4855	305
8	4990	305
9	4890	305

prune18.0ms (0.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	22	1	23
Fresh	1	0	1
Picked	0	1	1
Done	0	1	1
Total	23	3	26

Error

Counts

26 → 3

Compiler

Compiled 258 to 74 computations (71.3% saved)

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (+.f64 z y))
0.5b	(cbrt.f64 (+.f64 z y))
0.5b	(cbrt.f64 (+.f64 y z))
0.5b	(*.f64 (cbrt.f64 (+.f64 z y)) (cbrt.f64 (+.f64 z y)))

rewrite135.0ms (3.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

36×	`cbrt-prod_binary64_4542`
35×	`*-un-lft-identity_binary64_4511`
23×	`add-sqr-sqrt_binary64_4533`
18×	`cbrt-div_binary64_4543`
15×	`add-cube-cbrt_binary64_4546`
11×	`pow1_binary64_4572`
9×	`pow1/3_binary64_4593` `flip3-+_binary64_4514` `flip-+_binary64_4485` `swap-sqr_binary64_4478` `distribute-lft-out_binary64_4462`
7×	`associate-l_binary64_4452` `associate-r_binary64_4451`
6×	`add-exp-log_binary64_4549`
4×	`add-log-exp_binary64_4550` `add-cbrt-cube_binary64_4547` `frac-times_binary64_4521` `unswap-sqr_binary64_4479`
2×	`pow-prod-down_binary64_4582` `pow-prod-up_binary64_4581` `pow-sqr_binary64_4484` `associate-l/_binary64_4454` `associate-r/_binary64_4453`
1×	`pow2_binary64_4592` `pow-plus_binary64_4574` `prod-exp_binary64_4560` `cbrt-unprod_binary64_4544` `*-commutative_binary64_4442`

Counts

4 → 95

Calls

4 calls:

12.0ms	(*.f64 (cbrt.f64 (+.f64 z y)) (cbrt.f64 (+.f64 z y)))
3.0ms	(cbrt.f64 (+.f64 z y))
3.0ms	(cbrt.f64 (+.f64 z y))
3.0ms	(cbrt.f64 (+.f64 y z))

Compiler

Compiled 2453 to 583 computations (76.2% saved)

series570.0ms (15.3%)

Error

Counts

4 → 42

Calls

4 calls:

157.0ms	(*.f64 (cbrt.f64 (+.f64 z y)) (cbrt.f64 (+.f64 z y)))
128.0ms	(cbrt.f64 (+.f64 z y))
121.0ms	(cbrt.f64 (+.f64 z y))
116.0ms	(cbrt.f64 (+.f64 y z))

Compiler

Compiled 2838 to 1991 computations (29.8% saved)

simplify193.0ms (5.2%)

Algorithm

1×	egg-herbie

Rules

338×	`associate-l_binary64_4452`
279×	`unswap-sqr_binary64_4479`
260×	`associate-r_binary64_4451`
239×	`distribute-rgt-in_binary64_4461`
219×	`distribute-lft-in_binary64_4460`
195×	`sqr-pow_binary64_4483`
166×	`log-prod_binary64_4597`
163×	`sub-neg_binary64_4504`
153×	`exp-sum_binary64_4557`
141×	`unsub-neg_binary64_4505`
139×	`exp-prod_binary64_4563`
115×	`*-commutative_binary64_4442`
105×	`neg-mul-1_binary64_4507`
103×	`neg-sub0_binary64_4506`
102×	`cancel-sign-sub-inv_binary64_4477`
92×	`distribute-rgt-out_binary64_4464`
81×	`distribute-lft-out_binary64_4462`
80×	`associate-+r+_binary64_4443`
75×	`associate-+l+_binary64_4444`
73×	`log-pow_binary64_4600`
64×	`distribute-rgt-neg-in_binary64_4469`
62×	`log-div_binary64_4598`
59×	`exp-diff_binary64_4559`
58×	`distribute-lft-neg-in_binary64_4468`
57×	`unpow3_binary64_4577`
54×	`div-exp_binary64_4562`
52×	`cube-prod_binary64_4539` `*-lft-identity_binary64_4500`
51×	`*-rgt-identity_binary64_4501`
47×	`pow-plus_binary64_4574`
46×	`div-sub_binary64_4516` `pow-sqr_binary64_4484`
45×	`+-commutative_binary64_4441`
41×	`+-lft-identity_binary64_4495`
40×	`associate--r+_binary64_4447`
38×	`prod-exp_binary64_4560`
33×	`exp-to-pow_binary64_4573` `associate-+l-_binary64_4446`
32×	`cube-div_binary64_4540`
31×	`cube-unmult_binary64_4548` `sub0-neg_binary64_4498`
29×	`associate-/r*_binary64_4455` `associate-+r-_binary64_4445`
26×	`swap-sqr_binary64_4478`
24×	`distribute-lft-neg-out_binary64_4470`
20×	`cube-mult_binary64_4541` `distribute-rgt-neg-out_binary64_4471`
17×	`unpow1/3_binary64_4578`
16×	`rem-sqrt-square_binary64_4524`
14×	`difference-of-squares_binary64_4480`
13×	`+-rgt-identity_binary64_4496` `associate-/l/_binary64_4458` `associate-/l*_binary64_4456`
12×	`log-rec_binary64_4599`
10×	`mul0-rgt_binary64_4494` `mul0-lft_binary64_4493` `associate--r-_binary64_4450`
9×	`rem-exp-log_binary64_4551`
8×	`unpow1/2_binary64_4575` `distribute-neg-in_binary64_4472` `distribute-rgt-out--_binary64_4465`
7×	`associate-*r/_binary64_4453`
6×	`unpow2_binary64_4576` `unpow-1_binary64_4568` `rec-exp_binary64_4561` `exp-neg_binary64_4558` `times-frac_binary64_4517` `remove-double-neg_binary64_4499` `count-2_binary64_4459`
5×	`unpow1_binary64_4569`
4×	`mul-1-neg_binary64_4503` `distribute-lft-out--_binary64_4463` `associate-/r/_binary64_4457` `associate--l+_binary64_4448`
3×	`rem-3cbrt-lft_binary64_4536`
2×	`remove-double-div_binary64_4487` `associate--l-_binary64_4449`
1×	`log-E_binary64_4601` `1-exp_binary64_4555` `exp-1-e_binary64_4554` `rem-3cbrt-rft_binary64_4537` `rem-cbrt-cube_binary64_4535` `rem-square-sqrt_binary64_4523` `--rgt-identity_binary64_4497` `+-inverses_binary64_4490`
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` `pow-base-0_binary64_4595` `pow-base-1_binary64_4571` `unpow0_binary64_4570` `exp-lft-cube_binary64_4567` `exp-lft-sqr_binary64_4566` `exp-cbrt_binary64_4565` `exp-sqrt_binary64_4564` `e-exp-1_binary64_4556` `exp-0_binary64_4553` `rem-log-exp_binary64_4552` `cube-neg_binary64_4538` `rem-cube-cbrt_binary64_4534` `sqr-abs_binary64_4526` `sqr-neg_binary64_4525` `/-rgt-identity_binary64_4502` `div0_binary64_4492` `-inverses_binary64_4491` `lft-mult-inverse_binary64_4489` `rgt-mult-inverse_binary64_4488` `difference-of-sqr--1_binary64_4482` `difference-of-sqr-1_binary64_4481` `cancel-sign-sub_binary64_4476` `distribute-neg-frac_binary64_4475` `distribute-frac-neg_binary64_4474` `distribute-neg-out_binary64_4473` `distribute-rgt1-in_binary64_4467` `distribute-lft1-in_binary64_4466` `associate-l/_binary64_4454`

Counts

137 → 114

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	135	1993
1	255	1983
2	555	1883
3	1658	1863
4	3818	1740
5	4598	1740
6	4889	1740
7	4959	1740
8	4963	1740

prune106.0ms (2.8%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	114	0	114
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	114	3	117

Error

Counts

117 → 3

Compiler

Compiled 2510 to 713 computations (71.6% saved)

regimes177.0ms (4.8%)

Accuracy

Total 0.0b remaining (73.5%)

Threshold costs 0.0b (73.5%)

Compiler

Compiled 1215 to 895 computations (26.3% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64_4442` `+-commutative_binary64_4441`
2×	`sub-neg_binary64_4504`
1×	`neg-mul-1_binary64_4507` `neg-sub0_binary64_4506`
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` `unsub-neg_binary64_4505` `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	13
1	13	13
2	18	13
3	20	13
4	21	13
5	21	13

end0.0ms (0%)

sample817.0ms (22%)

Algorithm

1×

intervals

Results

226.0ms	8000×	body	128	valid
17.0ms	674×	body	128	invalid

Compiler

Compiled 302 to 223 computations (26.2% saved)

Iter	Nodes	Cost
0	20	52
1	37	52
2	54	52
3	72	40
4	104	40
5	157	40
6	244	40
7	403	40
8	749	40
9	898	40
10	839	40
11	838	40
12	838	40
13	779	40
0	3	3
1	3	3

Iter	Nodes	Cost
0	9	13
1	17	13
2	24	13
3	31	10
4	39	10
5	56	10
6	87	10
7	146	10
8	266	10
9	353	10
10	344	10
11	344	10
12	301	10

Iter	Nodes	Cost
0	20	52
1	37	52
2	54	52
3	72	40
4	104	40
5	157	40
6	244	40
7	403	40
8	749	40
9	898	40
10	839	40
11	838	40
12	838	40
13	779	40
0	3	3
1	3	3

Iter	Nodes	Cost
0	9	13
1	17	13
2	24	13
3	31	10
4	39	10
5	56	10
6	87	10
7	146	10
8	266	10
9	353	10
10	344	10
11	344	10
12	301	10

Details

analyze483.0ms (13%)

sample18.0ms (0.5%)

simplify21.0ms (0.6%)

prune3.0ms (0.1%)

localize6.0ms (0.2%)

rewrite50.0ms (1.3%)

series306.0ms (8.2%)

simplify78.0ms (2.1%)

prune40.0ms (1.1%)

localize6.0ms (0.2%)

rewrite33.0ms (0.9%)

series266.0ms (7.1%)

simplify85.0ms (2.3%)

prune26.0ms (0.7%)

localize6.0ms (0.2%)

rewrite24.0ms (0.7%)

series132.0ms (3.5%)

simplify109.0ms (2.9%)

prune18.0ms (0.5%)

localize11.0ms (0.3%)

rewrite135.0ms (3.6%)

series570.0ms (15.3%)

simplify193.0ms (5.2%)

prune106.0ms (2.8%)

regimes177.0ms (4.8%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample817.0ms (22%)

Profiling

Iter	Nodes	Cost
0	20	52
1	37	52
2	54	52
3	72	40
4	104	40
5	157	40
6	244	40
7	403	40
8	749	40
9	898	40
10	839	40
11	838	40
12	838	40
13	779	40
0	3	3
1	3	3

Iter	Nodes	Cost
0	9	13
1	17	13
2	24	13
3	31	10
4	39	10
5	56	10
6	87	10
7	146	10
8	266	10
9	353	10
10	344	10
11	344	10
12	301	10