Details

analyze473.0ms (17.9%)

Algorithm

1×	search
2×	egg-herbie

Rules

7×	`*-commutative_binary64_4442`
6×	`+-commutative_binary64_4441`
4×	`distribute-lft-out_binary64_4462`
2×	`distribute-rgt-out_binary64_4464`
1×	`swap-d2-d3`
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-lft-out--_binary64_4463` `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` `associate-+l+_binary64_4444` `associate-+r+_binary64_4443`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	28
1	24	28
2	28	28
3	28	28
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
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
37.4%	62.4%	0.1%	8
40.6%	56.2%	3.3%	9
46.8%	46%	7.2%	10
58.5%	32.8%	8.7%	11
60.8%	27.9%	11.3%	12
63.8%	22.4%	13.8%	13
69.1%	16.5%	14.4%	14

Symmetry

(sort d2 d3)

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample23.0ms (0.9%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	128	valid
1.0ms	25×	body	128	invalid

Compiler

Compiled 15 to 16 computations (-6.7% saved)

simplify11.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64_4442`
2×	`+-commutative_binary64_4441`
1×	`distribute-rgt-out_binary64_4464` `distribute-lft-out_binary64_4462`
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-lft-out--_binary64_4463` `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` `associate-+l+_binary64_4444` `associate-+r+_binary64_4443`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	7
1	12	7
2	14	7
3	14	7

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 17 to 16 computations (5.9% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b	(*.f64 d1 (+.f64 d2 d3))

rewrite22.0ms (0.8%)

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 d1 (+.f64 d2 d3))

Compiler

Compiled 249 to 80 computations (67.9% saved)

series127.0ms (4.8%)

Error

0.0b

Counts

1 → 15

Calls

1 calls:

120.0ms

(*.f64 d1 (+.f64 d2 d3))

Compiler

Compiled 207 to 134 computations (35.3% saved)

simplify106.0ms (4%)

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

prune15.0ms (0.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	22	1	23
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	22	3	25

Error

Counts

25 → 3

Compiler

Compiled 214 to 60 computations (72% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b	(+.f64 (.f64 d1 d2) (.f64 d1 d3))

rewrite15.0ms (0.6%)

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` `distribute-lft-out_binary64_4462` `+-commutative_binary64_4441`

Counts

1 → 12

Calls

1 calls:

4.0ms

(+.f64 (*.f64 d1 d2) (*.f64 d1 d3))

Compiler

Compiled 183 to 43 computations (76.5% saved)

series148.0ms (5.6%)

Error

Counts

1 → 15

Calls

1 calls:

141.0ms

(+.f64 (*.f64 d1 d2) (*.f64 d1 d3))

Compiler

Compiled 207 to 134 computations (35.3% saved)

simplify77.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

781×	`unsub-neg_binary64_4505`
551×	`distribute-rgt-out_binary64_4464`
343×	`distribute-rgt-in_binary64_4461`
310×	`distribute-lft-in_binary64_4460`
288×	`unswap-sqr_binary64_4479`
285×	`associate-l_binary64_4452`
242×	`*-commutative_binary64_4442` `+-commutative_binary64_4441`
228×	`sub-neg_binary64_4504`
223×	`cancel-sign-sub-inv_binary64_4477`
213×	`associate-r_binary64_4451`
209×	`neg-mul-1_binary64_4507`
189×	`neg-sub0_binary64_4506`
179×	`distribute-lft-out_binary64_4462`
170×	`distribute-rgt-neg-in_binary64_4469`
152×	`distribute-rgt-out--_binary64_4465`
133×	`distribute-lft-neg-in_binary64_4468`
115×	`distribute-lft-neg-out_binary64_4470`
104×	`distribute-lft-out--_binary64_4463`
99×	`associate-+l+_binary64_4444`
93×	`associate-+r+_binary64_4443`
92×	`sqr-pow_binary64_4483`
82×	`distribute-rgt-neg-out_binary64_4471`
77×	`distribute-neg-in_binary64_4472`
74×	`associate-+l-_binary64_4446`
55×	`cancel-sign-sub_binary64_4476`
51×	`associate-+r-_binary64_4445`
49×	`associate--r+_binary64_4447`
40×	`sub0-neg_binary64_4498`
38×	`pow-sqr_binary64_4484`
36×	`exp-prod_binary64_4563` `cube-prod_binary64_4539`
34×	`associate-/l/_binary64_4458`
29×	`distribute-neg-out_binary64_4473` `count-2_binary64_4459`
24×	`+-rgt-identity_binary64_4496`
20×	`exp-sum_binary64_4557` `div-sub_binary64_4516`
16×	`remove-double-neg_binary64_4499` `swap-sqr_binary64_4478` `associate--l+_binary64_4448`
14×	`exp-diff_binary64_4559`
13×	`+-lft-identity_binary64_4495` `mul0-lft_binary64_4493`
12×	`mul0-rgt_binary64_4494`
11×	`unpow3_binary64_4577` `cube-unmult_binary64_4548`
10×	`distribute-rgt1-in_binary64_4467`
7×	`cube-neg_binary64_4538` `associate--r-_binary64_4450`
6×	`log-prod_binary64_4597` `pow-plus_binary64_4574` `difference-of-squares_binary64_4480` `associate-/l_binary64_4456` `associate-r/_binary64_4453`
5×	`cube-mult_binary64_4541`
3×	`*-lft-identity_binary64_4500` `associate--l-_binary64_4449`
2×	`unpow2_binary64_4576` `exp-neg_binary64_4558` `sqr-neg_binary64_4525` `/-rgt-identity_binary64_4502` `--rgt-identity_binary64_4497` `associate-*l/_binary64_4454`
1×	`prod-exp_binary64_4560` `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` `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-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-1-e_binary64_4554` `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-sqrt-square_binary64_4524` `rem-square-sqrt_binary64_4523` `times-frac_binary64_4517` `mul-1-neg_binary64_4503` `-rgt-identity_binary64_4501` `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_4482` `difference-of-sqr-1_binary64_4481` `distribute-neg-frac_binary64_4475` `distribute-frac-neg_binary64_4474` `distribute-lft1-in_binary64_4466` `associate-/r/_binary64_4457` `associate-/r*_binary64_4455`

Counts

27 → 15

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	31	257
1	108	239
2	379	236
3	1032	233
4	2340	233
5	3434	233
6	4359	233
7	5248	233

prune9.0ms (0.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	15	0	15
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	15	3	18

Error

Counts

18 → 3

Compiler

Compiled 152 to 43 computations (71.7% saved)

localize6.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 d1 (+.f64 d3 d2))
0.3b	(.f64 (sqrt.f64 (.f64 d1 (+.f64 d3 d2))) (sqrt.f64 (*.f64 d1 (+.f64 d3 d2))))
2.2b	(sqrt.f64 (*.f64 d1 (+.f64 d3 d2)))
2.2b	(sqrt.f64 (*.f64 d1 (+.f64 d3 d2)))

rewrite127.0ms (4.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

61×	`pow1_binary64_4572`
32×	`sqrt-pow1_binary64_4529`
23×	`pow-prod-down_binary64_4582`
20×	`associate-*r/_binary64_4453`
16×	`sqrt-div_binary64_4528`
14×	`add-sqr-sqrt_binary64_4533`
12×	`pow1/2_binary64_4591` `*-un-lft-identity_binary64_4511`
10×	`add-cube-cbrt_binary64_4546` `pow-prod-up_binary64_4581`
9×	`flip3-+_binary64_4514` `flip-+_binary64_4485`
8×	`add-exp-log_binary64_4549` `add-cbrt-cube_binary64_4547` `associate-r_binary64_4451`
7×	`associate-l_binary64_4452`
6×	`sqrt-prod_binary64_4527` `pow-sqr_binary64_4484`
4×	`add-log-exp_binary64_4550` `frac-times_binary64_4521` `swap-sqr_binary64_4478`
2×	`prod-exp_binary64_4560` `cbrt-unprod_binary64_4544` `unswap-sqr_binary64_4479` `associate-l/_binary64_4454` `-commutative_binary64_4442`
1×	`pow2_binary64_4592` `pow-plus_binary64_4574` `sqrt-unprod_binary64_4531` `rem-square-sqrt_binary64_4523` `distribute-rgt-in_binary64_4461` `distribute-lft-in_binary64_4460` `distribute-lft-out_binary64_4462`

Counts

4 → 106

Calls

4 calls:

15.0ms	(.f64 (sqrt.f64 (.f64 d1 (+.f64 d3 d2))) (sqrt.f64 (*.f64 d1 (+.f64 d3 d2))))
7.0ms	(*.f64 d1 (+.f64 d3 d2))
5.0ms	(sqrt.f64 (*.f64 d1 (+.f64 d3 d2)))
5.0ms	(sqrt.f64 (*.f64 d1 (+.f64 d3 d2)))

Compiler

Compiled 2047 to 442 computations (78.4% saved)

series502.0ms (19%)

Error

Counts

4 → 52

Calls

4 calls:

130.0ms	(*.f64 d1 (+.f64 d3 d2))
129.0ms	(.f64 (sqrt.f64 (.f64 d1 (+.f64 d3 d2))) (sqrt.f64 (*.f64 d1 (+.f64 d3 d2))))
112.0ms	(sqrt.f64 (*.f64 d1 (+.f64 d3 d2)))
103.0ms	(sqrt.f64 (*.f64 d1 (+.f64 d3 d2)))

Compiler

Compiled 2070 to 1204 computations (41.8% saved)

simplify111.0ms (4.2%)

Algorithm

1×	egg-herbie

Rules

830×	`unswap-sqr_binary64_4479`
450×	`times-frac_binary64_4517`
334×	`distribute-rgt-in_binary64_4461`
326×	`distribute-lft-in_binary64_4460`
272×	`*-commutative_binary64_4442`
256×	`associate-+l+_binary64_4444`
143×	`associate-l_binary64_4452`
132×	`associate-r_binary64_4451`
107×	`associate-/l*_binary64_4456`
106×	`exp-prod_binary64_4563`
89×	`sqr-pow_binary64_4483`
84×	`associate-*l/_binary64_4454`
78×	`log-prod_binary64_4597`
74×	`associate-/r*_binary64_4455`
54×	`associate-*r/_binary64_4453`
52×	`cube-prod_binary64_4539`
49×	`*-lft-identity_binary64_4500` `cancel-sign-sub-inv_binary64_4477`
47×	`*-rgt-identity_binary64_4501`
39×	`associate-/r/_binary64_4457`
35×	`sub-neg_binary64_4504` `distribute-rgt-neg-in_binary64_4469`
34×	`rem-sqrt-square_binary64_4524`
32×	`swap-sqr_binary64_4478` `distribute-lft-neg-in_binary64_4468`
28×	`associate-/l/_binary64_4458`
20×	`pow-plus_binary64_4574`
19×	`pow-sqr_binary64_4484` `associate-+r+_binary64_4443`
18×	`associate-+l-_binary64_4446` `+-commutative_binary64_4441`
17×	`distribute-rgt-out_binary64_4464`
16×	`neg-mul-1_binary64_4507` `neg-sub0_binary64_4506`
13×	`unpow3_binary64_4577` `cube-unmult_binary64_4548` `associate-+r-_binary64_4445`
12×	`distribute-lft-neg-out_binary64_4470`
10×	`log-pow_binary64_4600`
9×	`distribute-rgt-neg-out_binary64_4471`
8×	`unpow1/2_binary64_4575` `exp-sum_binary64_4557` `rem-square-sqrt_binary64_4523` `unsub-neg_binary64_4505` `+-rgt-identity_binary64_4496`
7×	`distribute-rgt-out--_binary64_4465` `distribute-lft-out_binary64_4462`
6×	`unpow2_binary64_4576` `cube-mult_binary64_4541` `count-2_binary64_4459` `associate--r+_binary64_4447`
4×	`/-rgt-identity_binary64_4502` `sub0-neg_binary64_4498`
3×	`unpow1_binary64_4569` `associate--l+_binary64_4448`
2×	`difference-of-squares_binary64_4480` `distribute-neg-in_binary64_4472`
1×	`1-exp_binary64_4555` `exp-1-e_binary64_4554` `cube-div_binary64_4540` `rem-3cbrt-rft_binary64_4537` `rem-3cbrt-lft_binary64_4536` `rem-cbrt-cube_binary64_4535` `distribute-neg-frac_binary64_4475`
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` `exp-to-pow_binary64_4573` `pow-base-1_binary64_4571` `unpow0_binary64_4570` `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` `prod-exp_binary64_4560` `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-cube-cbrt_binary64_4534` `sqr-abs_binary64_4526` `sqr-neg_binary64_4525` `div-sub_binary64_4516` `mul-1-neg_binary64_4503` `remove-double-neg_binary64_4499` `--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` `difference-of-sqr--1_binary64_4482` `difference-of-sqr-1_binary64_4481` `cancel-sign-sub_binary64_4476` `distribute-frac-neg_binary64_4474` `distribute-neg-out_binary64_4473` `distribute-rgt1-in_binary64_4467` `distribute-lft1-in_binary64_4466` `distribute-lft-out--_binary64_4463` `associate--r-_binary64_4450` `associate--l-_binary64_4449`

Counts

158 → 84

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	123	1725
1	264	1649
2	930	1629
3	2251	1616
4	4803	1517
5	5254	1517

prune60.0ms (2.3%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	84	3	87

Error

Counts

87 → 3

Compiler

Compiled 1138 to 277 computations (75.7% saved)

regimes104.0ms (3.9%)

Accuracy

Total 0.0b remaining (80%)

Threshold costs 0.0b (80%)

Compiler

Compiled 596 to 458 computations (23.2% saved)

bsearch0.0ms (0%)

simplify9.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1× *-commutative_binary64_4442 +-commutative_binary64_4441

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	6	7
1	8	7
2	8	7

Remove

(sort d2 d3)

Compiler

Compiled 10 to 10 computations (0% saved)

end0.0ms (0%)

sample683.0ms (25.9%)

Algorithm

1×

intervals

Results

189.0ms	8000×	body	128	valid
15.0ms	651×	body	128	invalid

Compiler

Compiled 162 to 127 computations (21.6% saved)

Details

analyze473.0ms (17.9%)

sample23.0ms (0.9%)

simplify11.0ms (0.4%)

prune3.0ms (0.1%)

localize4.0ms (0.1%)

rewrite22.0ms (0.8%)

series127.0ms (4.8%)

simplify106.0ms (4%)

prune15.0ms (0.6%)

localize5.0ms (0.2%)

rewrite15.0ms (0.6%)

series148.0ms (5.6%)

simplify77.0ms (2.9%)

prune9.0ms (0.4%)

localize6.0ms (0.2%)

rewrite127.0ms (4.8%)

series502.0ms (19%)

simplify111.0ms (4.2%)

prune60.0ms (2.3%)

regimes104.0ms (3.9%)

bsearch0.0ms (0%)

simplify9.0ms (0.3%)

end0.0ms (0%)

sample683.0ms (25.9%)

Profiling